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

-64.3MiB live, 38.3MiB allocated; 82ms 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)

sample7.0s (48.5%)

Memory

-106.9MiB live, 7 313.7MiB allocated; 2.4s collecting garbage

Samples

3.8s	26 119×	0	invalid
1.1s	5 146×	1	valid
369.0ms	3 110×	0	valid

Precisions

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

const: 707.0ms (20.7% of total)

ival-tan: 684.0ms (20.1% of total)

adjust: 316.0ms (9.3% of total)

ival-add: 272.0ms (8% of total)

ival-fabs: 269.0ms (7.9% of total)

ival-sub: 266.0ms (7.8% of total)

ival-mult: 254.0ms (7.5% of total)

ival-<=: 248.0ms (7.3% of total)

ival-<: 228.0ms (6.7% of total)

ival-and: 109.0ms (3.2% of total)

exact: 42.0ms (1.2% of total)

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

Bogosity

explain147.0ms (1%)

Memory

9.1MiB live, 142.5MiB allocated; 29ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
221	3	(9.394020230623968e-257 3.3613031340958975e-259)	5	(2.365088183167002e-257 3.216817989721254e-259)	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
1	0	-	1	(44.588438494155234 2.6956700075232515e-8)	`(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	219	14

Confusion

	Predicted +	Predicted -
+	216	5
-	3	32

Precision

0.9863013698630136

Recall

0.9773755656108597

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	216	5	0
-	3	9	23

Precision?

0.9484978540772532

Recall?

1.0

Freqs

test

number	freq
0	37
1	219

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

45.0ms	302×	1	valid
17.0ms	210×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-tan: 18.0ms (46.7% of total)

adjust: 12.0ms (31.2% of total)

ival-sub: 4.0ms (10.4% of total)

ival-add: 4.0ms (10.4% of total)

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

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

preprocess284.0ms (2%)

Memory

19.1MiB live, 267.9MiB allocated; 36ms 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

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.5%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify218.0ms (1.5%)

Memory

-9.8MiB live, 226.0MiB allocated; 20ms 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)

localize33.0ms (0.2%)

Memory

-15.8MiB live, 76.9MiB allocated; 5ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x eps)
accuracy	0.0	(tan.f64 x)
accuracy	0.03627110241743066	(tan.f64 (+.f64 x eps))
accuracy	23.324607248208608	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Samples

20.0ms	151×	1	valid
5.0ms	105×	0	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

adjust: 6.0ms (38.4% of total)

ival-tan: 5.0ms (32% of total)

ival-sub: 2.0ms (12.8% of total)

ival-add: 2.0ms (12.8% of total)

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

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

series12.0ms (0.1%)

Memory

25.9MiB live, 25.9MiB 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))
2.0ms	eps	@	-inf	((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x))
1.0ms	x	@	inf	((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x))

simplify159.0ms (1.1%)

Memory

-2.2MiB live, 142.6MiB allocated; 15ms 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)))

rewrite434.0ms (3%)

Memory

-14.8MiB live, 362.7MiB allocated; 49ms 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)))))

eval57.0ms (0.4%)

Memory: -3.7MiB live, 42.1MiB allocated; 2ms collecting garbage
Compiler: Compiled 5 935 to 840 computations (85.8% saved)

prune13.0ms (0.1%)

Memory

24.5MiB live, 24.5MiB allocated; 0ms collecting garbage

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	169	14	183
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	169	15	184

Accuracy

100.0%

Counts

184 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.6%	(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)))
	63.5%	(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (cos.f64 (+.f64 eps x))) (cos.f64 x))
	34.3%	(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))
	63.5%	(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	63.5%	(-.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))
	63.5%	(-.f64 (+.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (+.f64 eps x)))) (tan.f64 x))
▶	4.1%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)) (PI.f64))) (tan.f64 x))
	6.9%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
▶	6.9%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
✓	63.5%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶	34.3%	(.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)))
▶	99.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) #s(literal -1/6 binary64)) eps) eps (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x))) eps eps))
	99.7%	#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))
▶	99.3%	#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))
	98.6%	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))

Compiler

Compiled 669 to 384 computations (42.6% saved)

simplify199.0ms (1.4%)

Memory

-0.5MiB live, 283.7MiB allocated; 37ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
cost-diff	0	(/.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)))
cost-diff	0	(.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)))
cost-diff	1	(+.f64 (+.f64 eps x) 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 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)) (PI.f64))) (tan.f64 x))
cost-diff	1	(+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64))
cost-diff	2	(+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)) (PI.f64))
cost-diff	3	(tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)) (PI.f64)))
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	1	(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))
cost-diff	2	(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))
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	10	(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))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	787
0	111	771
1	203	739
2	508	711
3	2162	638
0	8545	631

Stop Event

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

Calls

Call 1

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

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

localize649.0ms (4.5%)

Memory

-18.8MiB live, 932.4MiB allocated; 186ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.21875	(pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64))
accuracy	0.2421875	(+.f64 (+.f64 eps x) x)
accuracy	10.375565821114522	(-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
accuracy	31.395298051909137	(/.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)))
accuracy	0.015625	(pow.f64 (cos.f64 x) #s(literal 2 binary64))
accuracy	0.017910009768442016	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
accuracy	0.0234375	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
accuracy	0.4594350062898985	#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	0.015625	(+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)) (PI.f64))
accuracy	0.028601281620653757	(+.f64 (PI.f64) x)
accuracy	23.324607248208608	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)) (PI.f64))) (tan.f64 x))
accuracy	59.51242765611994	(tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)) (PI.f64)))
accuracy	0.028601281620653757	(+.f64 (PI.f64) x)
accuracy	0.03627110241743066	(tan.f64 (+.f64 x eps))
accuracy	23.324607248208608	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
accuracy	59.402762391483776	(tan.f64 (+.f64 (PI.f64) x))
accuracy	0.1328125	(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)))
accuracy	0.18359375	(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))
accuracy	0.26171875	(.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)
accuracy	0.986660009768442	(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))

Samples

562.0ms	253×	1	valid
15.0ms	2×	3	valid
0.0ms	1×	0	valid

Compiler

Compiled 742 to 64 computations (91.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 505.0ms

ival-tan: 203.0ms (40.2% of total)

adjust: 137.0ms (27.1% of total)

ival-add: 40.0ms (7.9% of total)

ival-mult: 37.0ms (7.3% of total)

ival-div: 31.0ms (6.1% of total)

ival-pow2: 19.0ms (3.8% of total)

ival-sub: 11.0ms (2.2% of total)

ival-sin: 9.0ms (1.8% of total)

const: 7.0ms (1.4% of total)

ival-cos: 6.0ms (1.2% of total)

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

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

exact: 1.0ms (0.2% of total)

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

series119.0ms (0.8%)

Memory

-1.5MiB live, 147.1MiB allocated; 45ms collecting garbage

Counts

25 → 180

Calls

Call 1

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

Outputs
-1/2
(- (* -4/3 (pow x 2)) 1/2)
(- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/2)
(- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/2)
(* -5/6 (pow x 2))
(* (pow x 2) (- (* -13/18 (pow x 2)) 5/6))
(* (pow x 2) (- (* (pow x 2) (- (* -10/27 (pow x 2)) 13/18)) 5/6))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -373/1890 (pow x 2)) 10/27)) 13/18)) 5/6))
1/3
(+ 1/3 (* 4/3 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 4/3 (* 17/9 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/9 (* 248/135 (pow x 2)))))))
-1
(- (* -1 (pow x 2)) 1)
(- (* (pow x 2) (- (* -2/3 (pow x 2)) 1)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)) 1)
(/ (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 (+ (PI) (* 2 (PI))))) (cos (+ eps (+ (PI) (* 2 (PI))))))
(+ (* x (- 1 (* -1 (/ (pow (sin (+ eps (+ (PI) (* 2 (PI))))) 2) (pow (cos (+ eps (+ (PI) (* 2 (PI))))) 2))))) (/ (sin (+ eps (+ (PI) (* 2 (PI))))) (cos (+ eps (+ (PI) (* 2 (PI)))))))
(+ (* x (- (+ 1 (/ (* x (* (sin (+ eps (+ (PI) (* 2 (PI))))) (- 1 (* -1 (/ (pow (sin (+ eps (+ (PI) (* 2 (PI))))) 2) (pow (cos (+ eps (+ (PI) (* 2 (PI))))) 2)))))) (cos (+ eps (+ (PI) (* 2 (PI))))))) (* -1 (/ (pow (sin (+ eps (+ (PI) (* 2 (PI))))) 2) (pow (cos (+ eps (+ (PI) (* 2 (PI))))) 2))))) (/ (sin (+ eps (+ (PI) (* 2 (PI))))) (cos (+ eps (+ (PI) (* 2 (PI)))))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ eps (+ (PI) (* 2 (PI))))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (+ (PI) (* 2 (PI))))) 2) (pow (cos (+ eps (+ (PI) (* 2 (PI))))) 2))))) (pow (cos (+ eps (+ (PI) (* 2 (PI))))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (+ (PI) (* 2 (PI))))) 2) (pow (cos (+ eps (+ (PI) (* 2 (PI))))) 2))))) (* 1/6 (/ (pow (sin (+ eps (+ (PI) (* 2 (PI))))) 2) (pow (cos (+ eps (+ (PI) (* 2 (PI))))) 2)))))))) (* -1 (/ (* (sin (+ eps (+ (PI) (* 2 (PI))))) (- 1 (* -1 (/ (pow (sin (+ eps (+ (PI) (* 2 (PI))))) 2) (pow (cos (+ eps (+ (PI) (* 2 (PI))))) 2))))) (cos (+ eps (+ (PI) (* 2 (PI)))))))))) (* -1 (/ (pow (sin (+ eps (+ (PI) (* 2 (PI))))) 2) (pow (cos (+ eps (+ (PI) (* 2 (PI))))) 2))))) (/ (sin (+ eps (+ (PI) (* 2 (PI))))) (cos (+ eps (+ (PI) (* 2 (PI)))))))
(+ eps (+ (PI) (* 2 (PI))))
(+ eps (+ x (+ (PI) (* 2 (PI)))))
(+ eps (* 2 (PI)))
(+ eps (+ x (* 2 (PI))))
(+ (/ (sin (+ eps (+ (PI) (* 2 (PI))))) (cos (+ eps (+ (PI) (* 2 (PI)))))) (/ (* x (pow (sin (+ eps (+ (PI) (* 2 (PI))))) 2)) (pow (cos (+ eps (+ (PI) (* 2 (PI))))) 2)))
(+ (* x (- (/ (* x (* (sin (+ eps (+ (PI) (* 2 (PI))))) (- 1 (* -1 (/ (pow (sin (+ eps (+ (PI) (* 2 (PI))))) 2) (pow (cos (+ eps (+ (PI) (* 2 (PI))))) 2)))))) (cos (+ eps (+ (PI) (* 2 (PI)))))) (* -1 (/ (pow (sin (+ eps (+ (PI) (* 2 (PI))))) 2) (pow (cos (+ eps (+ (PI) (* 2 (PI))))) 2))))) (/ (sin (+ eps (+ (PI) (* 2 (PI))))) (cos (+ eps (+ (PI) (* 2 (PI)))))))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin (+ eps (+ (PI) (* 2 (PI))))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (+ (PI) (* 2 (PI))))) 2) (pow (cos (+ eps (+ (PI) (* 2 (PI))))) 2))))) (pow (cos (+ eps (+ (PI) (* 2 (PI))))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (+ (PI) (* 2 (PI))))) 2) (pow (cos (+ eps (+ (PI) (* 2 (PI))))) 2))))) (* 1/6 (/ (pow (sin (+ eps (+ (PI) (* 2 (PI))))) 2) (pow (cos (+ eps (+ (PI) (* 2 (PI))))) 2)))))))) (* -1 (/ (* (sin (+ eps (+ (PI) (* 2 (PI))))) (- 1 (* -1 (/ (pow (sin (+ eps (+ (PI) (* 2 (PI))))) 2) (pow (cos (+ eps (+ (PI) (* 2 (PI))))) 2))))) (cos (+ eps (+ (PI) (* 2 (PI))))))))) (* -1 (/ (pow (sin (+ eps (+ (PI) (* 2 (PI))))) 2) (pow (cos (+ eps (+ (PI) (* 2 (PI))))) 2))))) (/ (sin (+ eps (+ (PI) (* 2 (PI))))) (cos (+ eps (+ (PI) (* 2 (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))))
(+ eps (* 2 x))
(+ (* x (- (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) 2)) (/ (sin eps) (cos eps)))
(+ (* x (- (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* x (- (+ (* -2 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (+ (* -1 (/ (sin eps) (cos eps))) (/ (* (cos eps) (- (+ (* 2 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) 1)) (sin eps)))) (+ (* -2 (/ (sin eps) (cos eps))) (* 2 (/ (* (cos eps) (- (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) 2)) (sin eps)))))))) 2)) (/ (sin eps) (cos eps)))
(+ (* x (- (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* x (- (+ (* -2 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (+ (* -1 (/ (sin eps) (cos eps))) (+ (* x (- (+ 4/3 (+ (* -1 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (+ (* -1 (- (+ (* 2 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) 1)) (+ (* -1/2 (/ (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (* 2 (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (sin eps))) (+ (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (cos eps) (+ (* -2 (/ (* (sin eps) (+ 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))))))) (cos eps))) (* 2 (/ (* (sin eps) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (cos eps))))) (sin eps))))))) (+ (* -2 (- (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) 2)) (* 2 (/ (* (cos eps) (- (+ (* -2 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (+ (* -1 (/ (sin eps) (cos eps))) (/ (* (cos eps) (- (+ (* 2 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) 1)) (sin eps)))) (+ (* -2 (/ (sin eps) (cos eps))) (* 2 (/ (* (cos eps) (- (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) 2)) (sin eps)))))) (sin eps)))))) (/ (* (cos eps) (- (+ (* 2 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) 1)) (sin eps))))) (+ (* -2 (/ (sin eps) (cos eps))) (* 2 (/ (* (cos eps) (- (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) 2)) (sin eps)))))))) 2)) (/ (sin eps) (cos eps)))
(/ (sin eps) (pow (cos eps) 2))
(+ (* x (- (* 2 (/ (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))) (* 2 (/ 1 (cos eps))))) (/ (sin eps) (pow (cos eps) 2)))
(+ (* x (- (+ (* 2 (/ (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))) (* x (- (+ (* 2 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (/ (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2) (sin eps))) (+ (* -2 (/ (sin eps) (pow (cos eps) 2))) (+ (* 2 (/ (* (cos eps) (- (* 2 (/ (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))) (* 2 (/ 1 (cos eps))))) (sin eps))) (/ 1 (sin eps))))))) (* 2 (/ 1 (cos eps))))) (/ (sin eps) (pow (cos eps) 2)))
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(/ (pow (sin eps) 2) (pow (cos eps) 2))
(+ (* 2 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))
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(* 1/3 eps)
(+ (* 1/3 eps) (* 4/3 (* eps (pow x 2))))
(+ (* 1/3 eps) (* (pow x 2) (+ (* 4/3 eps) (* 17/9 (* eps (pow x 2))))))
(+ (* 1/3 eps) (* (pow x 2) (+ (* 4/3 eps) (* (pow x 2) (+ (* 248/135 (* eps (pow x 2))) (* 17/9 eps))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/18 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/135 (pow x 2)) 1/18))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/135 (* -1/1890 (pow x 2)))) 1/18))))
(PI)
(+ x (PI))
1
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(- (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) 1/6)
(- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)
(/ (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
(* x (+ 1 (/ eps x)))
(/ (sin (+ eps (+ x (+ (PI) (* 2 (PI)))))) (cos (+ eps (+ x (+ (PI) (* 2 (PI)))))))
(* x (+ 1 (+ (* 2 (/ (PI) x)) (+ (/ eps x) (/ (PI) x)))))
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(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(pow (sin x) 2)
(* 2 x)
(* x (+ 2 (/ eps x)))
(/ (* (cos x) (* (cos (+ eps x)) (- (/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2)) (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin (+ eps (* 2 x))))
(/ (- (/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2)) (/ (pow (sin x) 2) (pow (cos x) 2))) (sin (+ eps (* 2 x))))
(- (/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(* eps (- (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) 1/6))
(* 1/6 (pow (sin x) 2))
(* x (+ 1 (/ (PI) x)))
(pow (cos x) 2)
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(/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x))))
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(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
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(* -1 (* x (- (* -1 (/ eps x)) 2)))
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(* -1 (* x (- (* -1 (/ (PI) x)) 1)))
(/ (pow (sin (- eps (* -1 x))) 2) (pow (cos (- eps (* -1 x))) 2))
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(/ (sin x) (cos x))
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(/ (sin (+ x (+ (PI) (* 2 (PI))))) (cos (+ x (+ (PI) (* 2 (PI))))))
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(+ x (+ (PI) (* 2 (PI))))
(+ x (* 2 (PI)))
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(- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (+ (PI) (* 2 (PI))))) 2) (- 1 (* -1 (/ (pow (sin (+ x (+ (PI) (* 2 (PI))))) 2) (pow (cos (+ x (+ (PI) (* 2 (PI))))) 2))))) (pow (cos (+ x (+ (PI) (* 2 (PI))))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (+ (PI) (* 2 (PI))))) 2) (pow (cos (+ x (+ (PI) (* 2 (PI))))) 2))))) (* 1/6 (/ (pow (sin (+ x (+ (PI) (* 2 (PI))))) 2) (pow (cos (+ x (+ (PI) (* 2 (PI))))) 2)))))))) (* -1 (/ (* (sin (+ x (+ (PI) (* 2 (PI))))) (- 1 (* -1 (/ (pow (sin (+ x (+ (PI) (* 2 (PI))))) 2) (pow (cos (+ x (+ (PI) (* 2 (PI))))) 2))))) (cos (+ x (+ (PI) (* 2 (PI)))))))))) (* -1 (/ (pow (sin (+ x (+ (PI) (* 2 (PI))))) 2) (pow (cos (+ x (+ (PI) (* 2 (PI))))) 2))))) (/ (sin (+ x (+ (PI) (* 2 (PI))))) (cos (+ x (+ (PI) (* 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))))
(* 2 (/ (* eps (* (cos x) (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (sin (* 2 x))))
(* eps (+ (* 2 (/ (* (cos x) (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin (* 2 x)))) (* eps (- (/ (* (cos x) (+ (* -2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* (cos x) (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))))) (sin (* 2 x))) (* 2 (/ (* (cos x) (* (cos (* 2 x)) (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (pow (sin (* 2 x)) 2)))))))
(* eps (+ (* 2 (/ (* (cos x) (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin (* 2 x)))) (* eps (- (+ (* eps (- (/ (* (cos x) (+ (* -1 (* (sin x) (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)))) (+ (* -1 (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* (cos x) (+ (* -2 (/ (* (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))) (* 2 (/ (* (sin x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (cos x)))))))) (sin (* 2 x))) (+ (* -1 (/ (* (cos x) (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin (* 2 x)))) (/ (* (cos (* 2 x)) (- (/ (* (cos x) (+ (* -2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* (cos x) (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))))) (sin (* 2 x))) (* 2 (/ (* (cos x) (* (cos (* 2 x)) (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (pow (sin (* 2 x)) 2))))) (sin (* 2 x)))))) (/ (* (cos x) (+ (* -2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* (cos x) (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))))) (sin (* 2 x)))) (* 2 (/ (* (cos x) (* (cos (* 2 x)) (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (pow (sin (* 2 x)) 2)))))))
(* eps (+ (* 2 (/ (* (cos x) (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin (* 2 x)))) (* eps (- (+ (* eps (- (+ (* eps (- (/ (* (cos x) (+ (* -1 (* (sin x) (+ (* -2 (/ (* (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))) (* 2 (/ (* (sin x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (cos x)))))) (+ (* -1/2 (* (cos x) (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)))) (+ (* 1/3 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* (cos x) (+ (* -2 (* (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (* -2 (/ (* (sin x) (+ (* -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))))) (cos x))) (/ (* (pow (sin x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (cos x) 2))))))))) (sin (* 2 x))) (+ (* -1/2 (- (/ (* (cos x) (+ (* -2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* (cos x) (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))))) (sin (* 2 x))) (* 2 (/ (* (cos x) (* (cos (* 2 x)) (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (pow (sin (* 2 x)) 2))))) (+ (* -1/3 (/ (* (cos x) (* (cos (* 2 x)) (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (pow (sin (* 2 x)) 2))) (/ (* (cos (* 2 x)) (- (/ (* (cos x) (+ (* -1 (* (sin x) (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)))) (+ (* -1 (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* (cos x) (+ (* -2 (/ (* (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))) (* 2 (/ (* (sin x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (cos x)))))))) (sin (* 2 x))) (+ (* -1 (/ (* (cos x) (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin (* 2 x)))) (/ (* (cos (* 2 x)) (- (/ (* (cos x) (+ (* -2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* (cos x) (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))))) (sin (* 2 x))) (* 2 (/ (* (cos x) (* (cos (* 2 x)) (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (pow (sin (* 2 x)) 2))))) (sin (* 2 x)))))) (sin (* 2 x))))))) (/ (* (cos x) (+ (* -1 (* (sin x) (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)))) (+ (* -1 (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* (cos x) (+ (* -2 (/ (* (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))) (* 2 (/ (* (sin x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (cos x)))))))) (sin (* 2 x)))) (+ (* -1 (/ (* (cos x) (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin (* 2 x)))) (/ (* (cos (* 2 x)) (- (/ (* (cos x) (+ (* -2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* (cos x) (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))))) (sin (* 2 x))) (* 2 (/ (* (cos x) (* (cos (* 2 x)) (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (pow (sin (* 2 x)) 2))))) (sin (* 2 x)))))) (/ (* (cos x) (+ (* -2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* (cos x) (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))))) (sin (* 2 x)))) (* 2 (/ (* (cos x) (* (cos (* 2 x)) (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (pow (sin (* 2 x)) 2)))))))
(* 2 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* (cos x) (sin (* 2 x)))))
(* eps (+ (* 2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* (cos x) (sin (* 2 x))))) (* eps (- (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* (pow (cos x) 2) (sin (* 2 x))))) (/ (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2) (sin (* 2 x)))) (* 2 (/ (* (cos (* 2 x)) (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* (cos x) (pow (sin (* 2 x)) 2))))))))
(* eps (+ (* 2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* (cos x) (sin (* 2 x))))) (* eps (- (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* (pow (cos x) 2) (sin (* 2 x))))) (+ (* eps (- (+ (* -2 (/ (* (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) (sin (* 2 x))))) (* 2 (/ (* (sin x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (* (cos x) (sin (* 2 x)))))) (+ (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* (cos x) (sin (* 2 x))))) (/ (* (cos (* 2 x)) (- (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* (pow (cos x) 2) (sin (* 2 x))))) (/ (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2) (sin (* 2 x)))) (* 2 (/ (* (cos (* 2 x)) (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* (cos x) (pow (sin (* 2 x)) 2)))))) (sin (* 2 x)))))) (/ (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2) (sin (* 2 x))))) (* 2 (/ (* (cos (* 2 x)) (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* (cos x) (pow (sin (* 2 x)) 2))))))))
(* eps (+ (* 2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* (cos x) (sin (* 2 x))))) (* eps (- (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* (pow (cos x) 2) (sin (* 2 x))))) (+ (* eps (- (+ (* -2 (/ (* (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) (sin (* 2 x))))) (+ (* 2 (/ (* (sin x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (* (cos x) (sin (* 2 x))))) (* eps (- (+ (* -2 (/ (* (sin x) (+ (* -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))))) (* (cos x) (sin (* 2 x))))) (+ (* -2 (/ (* (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin (* 2 x)))) (/ (* (pow (sin x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (* (pow (cos x) 2) (sin (* 2 x)))))) (+ (* -1/2 (- (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* (pow (cos x) 2) (sin (* 2 x))))) (/ (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2) (sin (* 2 x)))) (* 2 (/ (* (cos (* 2 x)) (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* (cos x) (pow (sin (* 2 x)) 2)))))) (+ (* -1/3 (/ (* (cos (* 2 x)) (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* (cos x) (pow (sin (* 2 x)) 2)))) (/ (* (cos (* 2 x)) (- (+ (* -2 (/ (* (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) (sin (* 2 x))))) (* 2 (/ (* (sin x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (* (cos x) (sin (* 2 x)))))) (+ (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* (cos x) (sin (* 2 x))))) (/ (* (cos (* 2 x)) (- (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* (pow (cos x) 2) (sin (* 2 x))))) (/ (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2) (sin (* 2 x)))) (* 2 (/ (* (cos (* 2 x)) (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* (cos x) (pow (sin (* 2 x)) 2)))))) (sin (* 2 x)))))) (sin (* 2 x))))))))) (+ (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* (cos x) (sin (* 2 x))))) (/ (* (cos (* 2 x)) (- (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* (pow (cos x) 2) (sin (* 2 x))))) (/ (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2) (sin (* 2 x)))) (* 2 (/ (* (cos (* 2 x)) (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* (cos x) (pow (sin (* 2 x)) 2)))))) (sin (* 2 x)))))) (/ (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2) (sin (* 2 x))))) (* 2 (/ (* (cos (* 2 x)) (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* (cos x) (pow (sin (* 2 x)) 2))))))))
(* 2 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))
(* eps (+ (* 2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* eps (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)))))
(* eps (+ (* 2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* eps (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* eps (+ (* -2 (/ (* (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))) (* 2 (/ (* (sin x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (cos x))))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))))))
(* eps (+ (* 2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* eps (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* eps (+ (* -2 (/ (* (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))) (+ (* 2 (/ (* (sin x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (cos x))) (* eps (+ (* -2 (* (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (* -2 (/ (* (sin x) (+ (* -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))))) (cos x))) (/ (* (pow (sin x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (cos x) 2)))))))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))))))
(+ (* 2 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* eps (+ (* 2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* eps (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* eps (+ (* 2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* eps (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* eps (+ (* -2 (/ (* (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))) (* 2 (/ (* (sin x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (cos x))))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (+ (* 2 (/ (PI) eps)) (+ (/ x eps) (/ (PI) eps)))))
(* eps (+ 1 (+ (* 2 (/ (PI) eps)) (/ x eps))))
(* eps (+ 1 (* 2 (/ x eps))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(/ (sin (- (+ x (+ (PI) (* 2 (PI)))) (* -1 eps))) (cos (- (+ x (+ (PI) (* 2 (PI)))) (* -1 eps))))
(* -1 (* eps (- (* -1 (/ (+ x (+ (PI) (* 2 (PI)))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (+ x (* 2 (PI))) eps)) 1)))
(- (/ (sin (- (+ x (+ (PI) (* 2 (PI)))) (* -1 eps))) (cos (- (+ x (+ (PI) (* 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 (* eps (- (* -2 (/ x eps)) 1)))
(/ (* (cos x) (* (cos (- x (* -1 eps))) (- (/ (pow (sin (- x (* -1 eps))) 2) (pow (cos (- x (* -1 eps))) 2)) (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin (- (* 2 x) (* -1 eps))))
(/ (- (/ (pow (sin (- x (* -1 eps))) 2) (pow (cos (- x (* -1 eps))) 2)) (/ (pow (sin x) 2) (pow (cos x) 2))) (sin (- (* 2 x) (* -1 eps))))
(- (/ (pow (sin (- x (* -1 eps))) 2) (pow (cos (- x (* -1 eps))) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(/ (pow (sin (- x (* -1 eps))) 2) (pow (cos (- x (* -1 eps))) 2))

Calls

6 calls:

Time	Variable		Point	Expression
26.0ms	eps	@	0	((+ (* (+ (* (/ (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))) (+ (* (+ (* (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) -1/6) (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (tan (+ (PI) x)) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (tan (+ (+ (+ (+ (PI) x) eps) (PI)) (PI))) (+ (+ (+ (+ (PI) x) eps) (PI)) (PI)) (+ (+ (+ (PI) x) eps) (PI)) (- (tan (+ (+ (+ (+ (PI) x) eps) (PI)) (PI))) (tan 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) (+ (+ eps x) x) (* (/ (- (pow (tan (+ eps x)) 2) (pow (tan x) 2)) (sin (+ (+ eps x) x))) (* (cos (+ eps x)) (cos x))) (/ (- (pow (tan (+ eps x)) 2) (pow (tan x) 2)) (sin (+ (+ eps x) x))) (- (pow (tan (+ eps x)) 2) (pow (tan x) 2)) (* (+ (* (+ (* (+ (* (/ (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) -1/6) eps) (* (pow (sin x) 2) 1/6) (+ (PI) x) (pow (cos x) 2) (pow (tan (+ eps x)) 2))
16.0ms	x	@	0	((+ (* (+ (* (/ (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))) (+ (* (+ (* (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) -1/6) (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (tan (+ (PI) x)) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (tan (+ (+ (+ (+ (PI) x) eps) (PI)) (PI))) (+ (+ (+ (+ (PI) x) eps) (PI)) (PI)) (+ (+ (+ (PI) x) eps) (PI)) (- (tan (+ (+ (+ (+ (PI) x) eps) (PI)) (PI))) (tan 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) (+ (+ eps x) x) (* (/ (- (pow (tan (+ eps x)) 2) (pow (tan x) 2)) (sin (+ (+ eps x) x))) (* (cos (+ eps x)) (cos x))) (/ (- (pow (tan (+ eps x)) 2) (pow (tan x) 2)) (sin (+ (+ eps x) x))) (- (pow (tan (+ eps x)) 2) (pow (tan x) 2)) (* (+ (* (+ (* (+ (* (/ (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) -1/6) eps) (* (pow (sin x) 2) 1/6) (+ (PI) x) (pow (cos x) 2) (pow (tan (+ eps x)) 2))
15.0ms	x	@	-inf	((+ (* (+ (* (/ (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))) (+ (* (+ (* (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) -1/6) (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (tan (+ (PI) x)) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (tan (+ (+ (+ (+ (PI) x) eps) (PI)) (PI))) (+ (+ (+ (+ (PI) x) eps) (PI)) (PI)) (+ (+ (+ (PI) x) eps) (PI)) (- (tan (+ (+ (+ (+ (PI) x) eps) (PI)) (PI))) (tan 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) (+ (+ eps x) x) (* (/ (- (pow (tan (+ eps x)) 2) (pow (tan x) 2)) (sin (+ (+ eps x) x))) (* (cos (+ eps x)) (cos x))) (/ (- (pow (tan (+ eps x)) 2) (pow (tan x) 2)) (sin (+ (+ eps x) x))) (- (pow (tan (+ eps x)) 2) (pow (tan x) 2)) (* (+ (* (+ (* (+ (* (/ (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) -1/6) eps) (* (pow (sin x) 2) 1/6) (+ (PI) x) (pow (cos x) 2) (pow (tan (+ eps x)) 2))
13.0ms	x	@	inf	((+ (* (+ (* (/ (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))) (+ (* (+ (* (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) -1/6) (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (tan (+ (PI) x)) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (tan (+ (+ (+ (+ (PI) x) eps) (PI)) (PI))) (+ (+ (+ (+ (PI) x) eps) (PI)) (PI)) (+ (+ (+ (PI) x) eps) (PI)) (- (tan (+ (+ (+ (+ (PI) x) eps) (PI)) (PI))) (tan 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) (+ (+ eps x) x) (* (/ (- (pow (tan (+ eps x)) 2) (pow (tan x) 2)) (sin (+ (+ eps x) x))) (* (cos (+ eps x)) (cos x))) (/ (- (pow (tan (+ eps x)) 2) (pow (tan x) 2)) (sin (+ (+ eps x) x))) (- (pow (tan (+ eps x)) 2) (pow (tan x) 2)) (* (+ (* (+ (* (+ (* (/ (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) -1/6) eps) (* (pow (sin x) 2) 1/6) (+ (PI) x) (pow (cos x) 2) (pow (tan (+ eps x)) 2))
9.0ms	eps	@	inf	((+ (* (+ (* (/ (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))) (+ (* (+ (* (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) -1/6) (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (tan (+ (PI) x)) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (tan (+ (+ (+ (+ (PI) x) eps) (PI)) (PI))) (+ (+ (+ (+ (PI) x) eps) (PI)) (PI)) (+ (+ (+ (PI) x) eps) (PI)) (- (tan (+ (+ (+ (+ (PI) x) eps) (PI)) (PI))) (tan 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) (+ (+ eps x) x) (* (/ (- (pow (tan (+ eps x)) 2) (pow (tan x) 2)) (sin (+ (+ eps x) x))) (* (cos (+ eps x)) (cos x))) (/ (- (pow (tan (+ eps x)) 2) (pow (tan x) 2)) (sin (+ (+ eps x) x))) (- (pow (tan (+ eps x)) 2) (pow (tan x) 2)) (* (+ (* (+ (* (+ (* (/ (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) -1/6) eps) (* (pow (sin x) 2) 1/6) (+ (PI) x) (pow (cos x) 2) (pow (tan (+ eps x)) 2))

simplify193.0ms (1.3%)

Memory

44.6MiB live, 275.6MiB allocated; 25ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	904	9672
1	2944	9087
0	8835	8592

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 178

Calls

Call 1

Inputs
-1/2
(- (* -4/3 (pow x 2)) 1/2)
(- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/2)
(- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/2)
(* -5/6 (pow x 2))
(* (pow x 2) (- (* -13/18 (pow x 2)) 5/6))
(* (pow x 2) (- (* (pow x 2) (- (* -10/27 (pow x 2)) 13/18)) 5/6))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -373/1890 (pow x 2)) 10/27)) 13/18)) 5/6))
1/3
(+ 1/3 (* 4/3 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 4/3 (* 17/9 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/9 (* 248/135 (pow x 2)))))))
-1
(- (* -1 (pow x 2)) 1)
(- (* (pow x 2) (- (* -2/3 (pow x 2)) 1)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)) 1)
(/ (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 (+ (PI) (* 2 (PI))))) (cos (+ eps (+ (PI) (* 2 (PI))))))
(+ (* x (- 1 (* -1 (/ (pow (sin (+ eps (+ (PI) (* 2 (PI))))) 2) (pow (cos (+ eps (+ (PI) (* 2 (PI))))) 2))))) (/ (sin (+ eps (+ (PI) (* 2 (PI))))) (cos (+ eps (+ (PI) (* 2 (PI)))))))
(+ (* x (- (+ 1 (/ (* x (* (sin (+ eps (+ (PI) (* 2 (PI))))) (- 1 (* -1 (/ (pow (sin (+ eps (+ (PI) (* 2 (PI))))) 2) (pow (cos (+ eps (+ (PI) (* 2 (PI))))) 2)))))) (cos (+ eps (+ (PI) (* 2 (PI))))))) (* -1 (/ (pow (sin (+ eps (+ (PI) (* 2 (PI))))) 2) (pow (cos (+ eps (+ (PI) (* 2 (PI))))) 2))))) (/ (sin (+ eps (+ (PI) (* 2 (PI))))) (cos (+ eps (+ (PI) (* 2 (PI)))))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ eps (+ (PI) (* 2 (PI))))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (+ (PI) (* 2 (PI))))) 2) (pow (cos (+ eps (+ (PI) (* 2 (PI))))) 2))))) (pow (cos (+ eps (+ (PI) (* 2 (PI))))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (+ (PI) (* 2 (PI))))) 2) (pow (cos (+ eps (+ (PI) (* 2 (PI))))) 2))))) (* 1/6 (/ (pow (sin (+ eps (+ (PI) (* 2 (PI))))) 2) (pow (cos (+ eps (+ (PI) (* 2 (PI))))) 2)))))))) (* -1 (/ (* (sin (+ eps (+ (PI) (* 2 (PI))))) (- 1 (* -1 (/ (pow (sin (+ eps (+ (PI) (* 2 (PI))))) 2) (pow (cos (+ eps (+ (PI) (* 2 (PI))))) 2))))) (cos (+ eps (+ (PI) (* 2 (PI)))))))))) (* -1 (/ (pow (sin (+ eps (+ (PI) (* 2 (PI))))) 2) (pow (cos (+ eps (+ (PI) (* 2 (PI))))) 2))))) (/ (sin (+ eps (+ (PI) (* 2 (PI))))) (cos (+ eps (+ (PI) (* 2 (PI)))))))
(+ eps (+ (PI) (* 2 (PI))))
(+ eps (+ x (+ (PI) (* 2 (PI)))))
(+ eps (* 2 (PI)))
(+ eps (+ x (* 2 (PI))))
(+ (/ (sin (+ eps (+ (PI) (* 2 (PI))))) (cos (+ eps (+ (PI) (* 2 (PI)))))) (/ (* x (pow (sin (+ eps (+ (PI) (* 2 (PI))))) 2)) (pow (cos (+ eps (+ (PI) (* 2 (PI))))) 2)))
(+ (* x (- (/ (* x (* (sin (+ eps (+ (PI) (* 2 (PI))))) (- 1 (* -1 (/ (pow (sin (+ eps (+ (PI) (* 2 (PI))))) 2) (pow (cos (+ eps (+ (PI) (* 2 (PI))))) 2)))))) (cos (+ eps (+ (PI) (* 2 (PI)))))) (* -1 (/ (pow (sin (+ eps (+ (PI) (* 2 (PI))))) 2) (pow (cos (+ eps (+ (PI) (* 2 (PI))))) 2))))) (/ (sin (+ eps (+ (PI) (* 2 (PI))))) (cos (+ eps (+ (PI) (* 2 (PI)))))))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin (+ eps (+ (PI) (* 2 (PI))))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (+ (PI) (* 2 (PI))))) 2) (pow (cos (+ eps (+ (PI) (* 2 (PI))))) 2))))) (pow (cos (+ eps (+ (PI) (* 2 (PI))))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (+ (PI) (* 2 (PI))))) 2) (pow (cos (+ eps (+ (PI) (* 2 (PI))))) 2))))) (* 1/6 (/ (pow (sin (+ eps (+ (PI) (* 2 (PI))))) 2) (pow (cos (+ eps (+ (PI) (* 2 (PI))))) 2)))))))) (* -1 (/ (* (sin (+ eps (+ (PI) (* 2 (PI))))) (- 1 (* -1 (/ (pow (sin (+ eps (+ (PI) (* 2 (PI))))) 2) (pow (cos (+ eps (+ (PI) (* 2 (PI))))) 2))))) (cos (+ eps (+ (PI) (* 2 (PI))))))))) (* -1 (/ (pow (sin (+ eps (+ (PI) (* 2 (PI))))) 2) (pow (cos (+ eps (+ (PI) (* 2 (PI))))) 2))))) (/ (sin (+ eps (+ (PI) (* 2 (PI))))) (cos (+ eps (+ (PI) (* 2 (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))))
(+ eps (* 2 x))
(+ (* x (- (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) 2)) (/ (sin eps) (cos eps)))
(+ (* x (- (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* x (- (+ (* -2 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (+ (* -1 (/ (sin eps) (cos eps))) (/ (* (cos eps) (- (+ (* 2 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) 1)) (sin eps)))) (+ (* -2 (/ (sin eps) (cos eps))) (* 2 (/ (* (cos eps) (- (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) 2)) (sin eps)))))))) 2)) (/ (sin eps) (cos eps)))
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(/ (sin eps) (pow (cos eps) 2))
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(/ (pow (sin eps) 2) (pow (cos eps) 2))
(+ (* 2 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))
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(* 1/3 eps)
(+ (* 1/3 eps) (* 4/3 (* eps (pow x 2))))
(+ (* 1/3 eps) (* (pow x 2) (+ (* 4/3 eps) (* 17/9 (* eps (pow x 2))))))
(+ (* 1/3 eps) (* (pow x 2) (+ (* 4/3 eps) (* (pow x 2) (+ (* 248/135 (* eps (pow x 2))) (* 17/9 eps))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/18 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/135 (pow x 2)) 1/18))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/135 (* -1/1890 (pow x 2)))) 1/18))))
(PI)
(+ x (PI))
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)))
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(+ (* 1/6 (pow (sin x) 2)) (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
(- (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) 1/6)
(- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)
(/ (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
(* x (+ 1 (/ eps x)))
(/ (sin (+ eps (+ x (+ (PI) (* 2 (PI)))))) (cos (+ eps (+ x (+ (PI) (* 2 (PI)))))))
(* x (+ 1 (+ (* 2 (/ (PI) x)) (+ (/ eps x) (/ (PI) x)))))
(* x (+ 1 (+ (* 2 (/ (PI) x)) (/ eps x))))
(- (/ (sin (+ eps (+ x (+ (PI) (* 2 (PI)))))) (cos (+ eps (+ x (+ (PI) (* 2 (PI))))))) (/ (sin x) (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))
(pow (sin x) 2)
(* 2 x)
(* x (+ 2 (/ eps x)))
(/ (* (cos x) (* (cos (+ eps x)) (- (/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2)) (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin (+ eps (* 2 x))))
(/ (- (/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2)) (/ (pow (sin x) 2) (pow (cos x) 2))) (sin (+ eps (* 2 x))))
(- (/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(* eps (- (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) 1/6))
(* 1/6 (pow (sin x) 2))
(* x (+ 1 (/ (PI) x)))
(pow (cos x) 2)
(/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2))
(/ (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 (+ (PI) (* 2 (PI)))) (* -1 x))) (cos (- (+ eps (+ (PI) (* 2 (PI)))) (* -1 x))))
(* -1 (* x (- (* -1 (/ (+ eps (+ (PI) (* 2 (PI)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ eps (* 2 (PI))) x)) 1)))
(- (/ (sin (- (+ eps (+ (PI) (* 2 (PI)))) (* -1 x))) (cos (- (+ eps (+ (PI) (* 2 (PI)))) (* -1 x)))) (/ (sin x) (cos x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(* -1 (* x (- (* -1 (/ eps x)) 2)))
(/ (* (cos x) (* (cos (- eps (* -1 x))) (- (/ (pow (sin (- eps (* -1 x))) 2) (pow (cos (- eps (* -1 x))) 2)) (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin (- eps (* -2 x))))
(/ (- (/ (pow (sin (- eps (* -1 x))) 2) (pow (cos (- eps (* -1 x))) 2)) (/ (pow (sin x) 2) (pow (cos x) 2))) (sin (- eps (* -2 x))))
(- (/ (pow (sin (- eps (* -1 x))) 2) (pow (cos (- eps (* -1 x))) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(* -1 (* x (- (* -1 (/ (PI) x)) 1)))
(/ (pow (sin (- eps (* -1 x))) 2) (pow (cos (- eps (* -1 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)))))
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(/ (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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(/ (sin (+ x (+ (PI) (* 2 (PI))))) (cos (+ x (+ (PI) (* 2 (PI))))))
(+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (+ (PI) (* 2 (PI))))) 2) (pow (cos (+ x (+ (PI) (* 2 (PI))))) 2))))) (/ (sin (+ x (+ (PI) (* 2 (PI))))) (cos (+ x (+ (PI) (* 2 (PI)))))))
(+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (+ (PI) (* 2 (PI))))) (- 1 (* -1 (/ (pow (sin (+ x (+ (PI) (* 2 (PI))))) 2) (pow (cos (+ x (+ (PI) (* 2 (PI))))) 2)))))) (cos (+ x (+ (PI) (* 2 (PI))))))) (* -1 (/ (pow (sin (+ x (+ (PI) (* 2 (PI))))) 2) (pow (cos (+ x (+ (PI) (* 2 (PI))))) 2))))) (/ (sin (+ x (+ (PI) (* 2 (PI))))) (cos (+ x (+ (PI) (* 2 (PI)))))))
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(+ x (+ (PI) (* 2 (PI))))
(+ x (* 2 (PI)))
(- (/ (sin (+ x (+ (PI) (* 2 (PI))))) (cos (+ x (+ (PI) (* 2 (PI)))))) (/ (sin x) (cos x)))
(- (+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (+ (PI) (* 2 (PI))))) 2) (pow (cos (+ x (+ (PI) (* 2 (PI))))) 2))))) (/ (sin (+ x (+ (PI) (* 2 (PI))))) (cos (+ x (+ (PI) (* 2 (PI))))))) (/ (sin x) (cos x)))
(- (+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (+ (PI) (* 2 (PI))))) (- 1 (* -1 (/ (pow (sin (+ x (+ (PI) (* 2 (PI))))) 2) (pow (cos (+ x (+ (PI) (* 2 (PI))))) 2)))))) (cos (+ x (+ (PI) (* 2 (PI))))))) (* -1 (/ (pow (sin (+ x (+ (PI) (* 2 (PI))))) 2) (pow (cos (+ x (+ (PI) (* 2 (PI))))) 2))))) (/ (sin (+ x (+ (PI) (* 2 (PI))))) (cos (+ x (+ (PI) (* 2 (PI))))))) (/ (sin x) (cos x)))
(- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (+ (PI) (* 2 (PI))))) 2) (- 1 (* -1 (/ (pow (sin (+ x (+ (PI) (* 2 (PI))))) 2) (pow (cos (+ x (+ (PI) (* 2 (PI))))) 2))))) (pow (cos (+ x (+ (PI) (* 2 (PI))))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (+ (PI) (* 2 (PI))))) 2) (pow (cos (+ x (+ (PI) (* 2 (PI))))) 2))))) (* 1/6 (/ (pow (sin (+ x (+ (PI) (* 2 (PI))))) 2) (pow (cos (+ x (+ (PI) (* 2 (PI))))) 2)))))))) (* -1 (/ (* (sin (+ x (+ (PI) (* 2 (PI))))) (- 1 (* -1 (/ (pow (sin (+ x (+ (PI) (* 2 (PI))))) 2) (pow (cos (+ x (+ (PI) (* 2 (PI))))) 2))))) (cos (+ x (+ (PI) (* 2 (PI)))))))))) (* -1 (/ (pow (sin (+ x (+ (PI) (* 2 (PI))))) 2) (pow (cos (+ x (+ (PI) (* 2 (PI))))) 2))))) (/ (sin (+ x (+ (PI) (* 2 (PI))))) (cos (+ x (+ (PI) (* 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))))
(* 2 (/ (* eps (* (cos x) (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (sin (* 2 x))))
(* eps (+ (* 2 (/ (* (cos x) (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin (* 2 x)))) (* eps (- (/ (* (cos x) (+ (* -2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* (cos x) (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))))) (sin (* 2 x))) (* 2 (/ (* (cos x) (* (cos (* 2 x)) (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (pow (sin (* 2 x)) 2)))))))
(* eps (+ (* 2 (/ (* (cos x) (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin (* 2 x)))) (* eps (- (+ (* eps (- (/ (* (cos x) (+ (* -1 (* (sin x) (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)))) (+ (* -1 (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* (cos x) (+ (* -2 (/ (* (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))) (* 2 (/ (* (sin x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (cos x)))))))) (sin (* 2 x))) (+ (* -1 (/ (* (cos x) (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin (* 2 x)))) (/ (* (cos (* 2 x)) (- (/ (* (cos x) (+ (* -2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* (cos x) (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))))) (sin (* 2 x))) (* 2 (/ (* (cos x) (* (cos (* 2 x)) (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (pow (sin (* 2 x)) 2))))) (sin (* 2 x)))))) (/ (* (cos x) (+ (* -2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* (cos x) (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))))) (sin (* 2 x)))) (* 2 (/ (* (cos x) (* (cos (* 2 x)) (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (pow (sin (* 2 x)) 2)))))))
(* eps (+ (* 2 (/ (* (cos x) (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin (* 2 x)))) (* eps (- (+ (* eps (- (+ (* eps (- (/ (* (cos x) (+ (* -1 (* (sin x) (+ (* -2 (/ (* (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))) (* 2 (/ (* (sin x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (cos x)))))) (+ (* -1/2 (* (cos x) (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)))) (+ (* 1/3 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* (cos x) (+ (* -2 (* (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (* -2 (/ (* (sin x) (+ (* -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))))) (cos x))) (/ (* (pow (sin x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (cos x) 2))))))))) (sin (* 2 x))) (+ (* -1/2 (- (/ (* (cos x) (+ (* -2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* (cos x) (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))))) (sin (* 2 x))) (* 2 (/ (* (cos x) (* (cos (* 2 x)) (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (pow (sin (* 2 x)) 2))))) (+ (* -1/3 (/ (* (cos x) (* (cos (* 2 x)) (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (pow (sin (* 2 x)) 2))) (/ (* (cos (* 2 x)) (- (/ (* (cos x) (+ (* -1 (* (sin x) (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)))) (+ (* -1 (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* (cos x) (+ (* -2 (/ (* (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))) (* 2 (/ (* (sin x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (cos x)))))))) (sin (* 2 x))) (+ (* -1 (/ (* (cos x) (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin (* 2 x)))) (/ (* (cos (* 2 x)) (- (/ (* (cos x) (+ (* -2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* (cos x) (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))))) (sin (* 2 x))) (* 2 (/ (* (cos x) (* (cos (* 2 x)) (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (pow (sin (* 2 x)) 2))))) (sin (* 2 x)))))) (sin (* 2 x))))))) (/ (* (cos x) (+ (* -1 (* (sin x) (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)))) (+ (* -1 (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* (cos x) (+ (* -2 (/ (* (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))) (* 2 (/ (* (sin x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (cos x)))))))) (sin (* 2 x)))) (+ (* -1 (/ (* (cos x) (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin (* 2 x)))) (/ (* (cos (* 2 x)) (- (/ (* (cos x) (+ (* -2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* (cos x) (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))))) (sin (* 2 x))) (* 2 (/ (* (cos x) (* (cos (* 2 x)) (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (pow (sin (* 2 x)) 2))))) (sin (* 2 x)))))) (/ (* (cos x) (+ (* -2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* (cos x) (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))))) (sin (* 2 x)))) (* 2 (/ (* (cos x) (* (cos (* 2 x)) (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (pow (sin (* 2 x)) 2)))))))
(* 2 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* (cos x) (sin (* 2 x)))))
(* eps (+ (* 2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* (cos x) (sin (* 2 x))))) (* eps (- (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* (pow (cos x) 2) (sin (* 2 x))))) (/ (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2) (sin (* 2 x)))) (* 2 (/ (* (cos (* 2 x)) (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* (cos x) (pow (sin (* 2 x)) 2))))))))
(* eps (+ (* 2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* (cos x) (sin (* 2 x))))) (* eps (- (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* (pow (cos x) 2) (sin (* 2 x))))) (+ (* eps (- (+ (* -2 (/ (* (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) (sin (* 2 x))))) (* 2 (/ (* (sin x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (* (cos x) (sin (* 2 x)))))) (+ (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* (cos x) (sin (* 2 x))))) (/ (* (cos (* 2 x)) (- (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* (pow (cos x) 2) (sin (* 2 x))))) (/ (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2) (sin (* 2 x)))) (* 2 (/ (* (cos (* 2 x)) (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* (cos x) (pow (sin (* 2 x)) 2)))))) (sin (* 2 x)))))) (/ (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2) (sin (* 2 x))))) (* 2 (/ (* (cos (* 2 x)) (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* (cos x) (pow (sin (* 2 x)) 2))))))))
(* eps (+ (* 2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* (cos x) (sin (* 2 x))))) (* eps (- (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* (pow (cos x) 2) (sin (* 2 x))))) (+ (* eps (- (+ (* -2 (/ (* (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) (sin (* 2 x))))) (+ (* 2 (/ (* (sin x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (* (cos x) (sin (* 2 x))))) (* eps (- (+ (* -2 (/ (* (sin x) (+ (* -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))))) (* (cos x) (sin (* 2 x))))) (+ (* -2 (/ (* (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin (* 2 x)))) (/ (* (pow (sin x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (* (pow (cos x) 2) (sin (* 2 x)))))) (+ (* -1/2 (- (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* (pow (cos x) 2) (sin (* 2 x))))) (/ (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2) (sin (* 2 x)))) (* 2 (/ (* (cos (* 2 x)) (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* (cos x) (pow (sin (* 2 x)) 2)))))) (+ (* -1/3 (/ (* (cos (* 2 x)) (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* (cos x) (pow (sin (* 2 x)) 2)))) (/ (* (cos (* 2 x)) (- (+ (* -2 (/ (* (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) (sin (* 2 x))))) (* 2 (/ (* (sin x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (* (cos x) (sin (* 2 x)))))) (+ (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* (cos x) (sin (* 2 x))))) (/ (* (cos (* 2 x)) (- (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* (pow (cos x) 2) (sin (* 2 x))))) (/ (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2) (sin (* 2 x)))) (* 2 (/ (* (cos (* 2 x)) (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* (cos x) (pow (sin (* 2 x)) 2)))))) (sin (* 2 x)))))) (sin (* 2 x))))))))) (+ (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* (cos x) (sin (* 2 x))))) (/ (* (cos (* 2 x)) (- (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* (pow (cos x) 2) (sin (* 2 x))))) (/ (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2) (sin (* 2 x)))) (* 2 (/ (* (cos (* 2 x)) (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* (cos x) (pow (sin (* 2 x)) 2)))))) (sin (* 2 x)))))) (/ (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2) (sin (* 2 x))))) (* 2 (/ (* (cos (* 2 x)) (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* (cos x) (pow (sin (* 2 x)) 2))))))))
(* 2 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))
(* eps (+ (* 2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* eps (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)))))
(* eps (+ (* 2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* eps (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* eps (+ (* -2 (/ (* (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))) (* 2 (/ (* (sin x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (cos x))))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))))))
(* eps (+ (* 2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* eps (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* eps (+ (* -2 (/ (* (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))) (+ (* 2 (/ (* (sin x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (cos x))) (* eps (+ (* -2 (* (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (* -2 (/ (* (sin x) (+ (* -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))))) (cos x))) (/ (* (pow (sin x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (cos x) 2)))))))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))))))
(+ (* 2 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* eps (+ (* 2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* eps (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* eps (+ (* 2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* eps (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* eps (+ (* -2 (/ (* (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))) (* 2 (/ (* (sin x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (cos x))))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (+ (* 2 (/ (PI) eps)) (+ (/ x eps) (/ (PI) eps)))))
(* eps (+ 1 (+ (* 2 (/ (PI) eps)) (/ x eps))))
(* eps (+ 1 (* 2 (/ x eps))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(/ (sin (- (+ x (+ (PI) (* 2 (PI)))) (* -1 eps))) (cos (- (+ x (+ (PI) (* 2 (PI)))) (* -1 eps))))
(* -1 (* eps (- (* -1 (/ (+ x (+ (PI) (* 2 (PI)))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (+ x (* 2 (PI))) eps)) 1)))
(- (/ (sin (- (+ x (+ (PI) (* 2 (PI)))) (* -1 eps))) (cos (- (+ x (+ (PI) (* 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 (* eps (- (* -2 (/ x eps)) 1)))
(/ (* (cos x) (* (cos (- x (* -1 eps))) (- (/ (pow (sin (- x (* -1 eps))) 2) (pow (cos (- x (* -1 eps))) 2)) (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin (- (* 2 x) (* -1 eps))))
(/ (- (/ (pow (sin (- x (* -1 eps))) 2) (pow (cos (- x (* -1 eps))) 2)) (/ (pow (sin x) 2) (pow (cos x) 2))) (sin (- (* 2 x) (* -1 eps))))
(- (/ (pow (sin (- x (* -1 eps))) 2) (pow (cos (- x (* -1 eps))) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(/ (pow (sin (- x (* -1 eps))) 2) (pow (cos (- x (* -1 eps))) 2))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* -4/3 (pow x 2)) 1/2)
(-.f64 (.f64 (.f64 x x) #s(literal -4/3 binary64)) #s(literal 1/2 binary64))
(- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/2)
(-.f64 (.f64 (-.f64 (.f64 #s(literal -17/9 binary64) (.f64 x x)) #s(literal 4/3 binary64)) (.f64 x x)) #s(literal 1/2 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/2)
(-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -248/135 binary64) (.f64 x x)) #s(literal 17/9 binary64)) (.f64 x x)) #s(literal 4/3 binary64)) (.f64 x x)) #s(literal 1/2 binary64))
(* -5/6 (pow x 2))
(.f64 #s(literal -5/6 binary64) (.f64 x x))
(* (pow x 2) (- (* -13/18 (pow x 2)) 5/6))
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(* 1/6 (pow x 2))
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(* (pow x 2) (+ 1/6 (* -1/18 (pow x 2))))
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(PI)
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1
#s(literal 1 binary64)
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x
(* x (+ 1 (/ eps x)))
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(* eps (+ (* 2 (/ (* (cos x) (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin (* 2 x)))) (* eps (- (/ (* (cos x) (+ (* -2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* (cos x) (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))))) (sin (* 2 x))) (* 2 (/ (* (cos x) (* (cos (* 2 x)) (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (pow (sin (* 2 x)) 2)))))))
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(* eps (+ (* 2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* eps (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* eps (+ (* -2 (/ (* (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))) (* 2 (/ (* (sin x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (cos x))))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))))))
(.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (pow.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (sin.f64 x)) (.f64 #s(literal -2 binary64) (.f64 (fma.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/6 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1/6 binary64))) (sin.f64 x)))) (cos.f64 x)) eps (fma.f64 (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64) (pow.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))) eps (.f64 (/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 x)) (cos.f64 x)) #s(literal 2 binary64))) eps)
(* eps (+ (* 2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* eps (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* eps (+ (* -2 (/ (* (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))) (+ (* 2 (/ (* (sin x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (cos x))) (* eps (+ (* -2 (* (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (* -2 (/ (* (sin x) (+ (* -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))))) (cos x))) (/ (* (pow (sin x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (cos x) 2)))))))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/6 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1/6 binary64))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (sin.f64 x) (/.f64 (fma.f64 (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 x)) (cos.f64 x)) #s(literal -1/3 binary64) (.f64 (sin.f64 x) (/.f64 (fma.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/6 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1/6 binary64))) (cos.f64 x)))) (cos.f64 x)))) (/.f64 (.f64 (pow.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (pow.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (sin.f64 x)) (.f64 #s(literal -2 binary64) (.f64 (fma.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/6 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1/6 binary64))) (sin.f64 x)))) (cos.f64 x))) eps (fma.f64 (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64) (pow.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))) eps (.f64 (/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 x)) (cos.f64 x)) #s(literal 2 binary64))) eps)
(+ (* 2 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 x)) (cos.f64 x)) (+.f64 eps eps) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ (* eps (+ (* 2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* eps (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64) (pow.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) eps (.f64 (/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 x)) (cos.f64 x)) #s(literal 2 binary64))) eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ (* eps (+ (* 2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* eps (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* eps (+ (* -2 (/ (* (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))) (* 2 (/ (* (sin x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (cos x))))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (pow.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (sin.f64 x)) (.f64 #s(literal -2 binary64) (.f64 (fma.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/6 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1/6 binary64))) (sin.f64 x)))) (cos.f64 x)) eps (fma.f64 (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64) (pow.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))) eps (.f64 (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 x)) (cos.f64 x)) #s(literal 2 binary64))) eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(* eps (+ 1 (/ x eps)))
(fma.f64 (/.f64 x eps) eps eps)
(* eps (+ 1 (+ (* 2 (/ (PI) eps)) (+ (/ x eps) (/ (PI) eps)))))
(fma.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (PI.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)
(* eps (+ 1 (* 2 (/ x eps))))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) 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 (+ (PI) (* 2 (PI)))) (* -1 eps))) (cos (- (+ x (+ (PI) (* 2 (PI)))) (* -1 eps))))
(/.f64 (sin.f64 (fma.f64 #s(literal 3 binary64) (PI.f64) (+.f64 eps x))) (cos.f64 (fma.f64 #s(literal 3 binary64) (PI.f64) (+.f64 eps x))))
(* -1 (* eps (- (* -1 (/ (+ x (+ (PI) (* 2 (PI)))) eps)) 1)))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) (PI.f64) x)) eps) #s(literal 1 binary64)))
(* -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 (+ (PI) (* 2 (PI)))) (* -1 eps))) (cos (- (+ x (+ (PI) (* 2 (PI)))) (* -1 eps)))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (fma.f64 #s(literal 3 binary64) (PI.f64) (+.f64 eps x))) (cos.f64 (fma.f64 #s(literal 3 binary64) (PI.f64) (+.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 (* eps (- (* -2 (/ x eps)) 1)))
(.f64 (neg.f64 eps) (-.f64 (.f64 (/.f64 x eps) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/ (* (cos x) (* (cos (- x (* -1 eps))) (- (/ (pow (sin (- x (* -1 eps))) 2) (pow (cos (- x (* -1 eps))) 2)) (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin (- (* 2 x) (* -1 eps))))
(/.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (-.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (sin.f64 (fma.f64 #s(literal 2 binary64) x eps)))
(/ (- (/ (pow (sin (- x (* -1 eps))) 2) (pow (cos (- x (* -1 eps))) 2)) (/ (pow (sin x) 2) (pow (cos x) 2))) (sin (- (* 2 x) (* -1 eps))))
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 2 binary64) x eps)))
(- (/ (pow (sin (- x (* -1 eps))) 2) (pow (cos (- x (* -1 eps))) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/ (pow (sin (- x (* -1 eps))) 2) (pow (cos (- x (* -1 eps))) 2))
(/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))

rewrite190.0ms (1.3%)

Memory

-15.9MiB live, 213.6MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	349
0	97	333
1	460	287
2	3962	287
0	8213	276

Stop Event

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

Counts

25 → 554

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (pow.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (cos.f64 x)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(fma.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))
(-.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))))
(-.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(+.f64 (+.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(+.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/6 binary64)))
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(-.f64 #s(literal 1 binary64) (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) (neg.f64 (+.f64 (PI.f64) x))))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 x))))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) x)))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (cos.f64 x)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(*.f64 (neg.f64 (tan.f64 (+.f64 eps x))) (neg.f64 (tan.f64 (+.f64 eps x))))
(*.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (fabs.f64 (tan.f64 (+.f64 eps x))))
(*.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 eps x)))) (exp.f64 (log.f64 (tan.f64 (+.f64 eps x)))))
(*.f64 (tan.f64 (+.f64 eps x)) (tan.f64 (+.f64 eps x)))
(pow.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 eps x)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64))
(/.f64 (.f64 (+.f64 #s(literal 0 binary64) (tan.f64 (+.f64 eps x))) (tan.f64 (+.f64 eps x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 (+.f64 eps x)))))
(/.f64 (*.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 (+.f64 eps x))))) (tan.f64 (+.f64 eps x))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 eps x))))))
(/.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (tan.f64 (+.f64 eps x))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 eps) (tan.f64 x))))
(/.f64 (*.f64 (sin.f64 (+.f64 eps x)) (tan.f64 (+.f64 eps x))) (cos.f64 (+.f64 eps x)))
(/.f64 (.f64 (tan.f64 (+.f64 eps x)) (+.f64 #s(literal 0 binary64) (tan.f64 (+.f64 eps x)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 (+.f64 eps x)))))
(/.f64 (*.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (neg.f64 (neg.f64 (sin.f64 (+.f64 eps x)))))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 eps x))))))
(/.f64 (.f64 (tan.f64 (+.f64 eps x)) (+.f64 (tan.f64 eps) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 eps) (tan.f64 x))))
(/.f64 (*.f64 (tan.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x))) (cos.f64 (+.f64 eps x)))
(/.f64 (.f64 (+.f64 #s(literal 0 binary64) (tan.f64 (+.f64 eps x))) (+.f64 #s(literal 0 binary64) (tan.f64 (+.f64 eps x)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 (+.f64 eps x)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 (+.f64 eps x))))))
(/.f64 (.f64 (+.f64 #s(literal 0 binary64) (tan.f64 (+.f64 eps x))) (neg.f64 (neg.f64 (neg.f64 (sin.f64 (+.f64 eps x)))))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 (+.f64 eps x)))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 eps x)))))))
(/.f64 (.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 (+.f64 eps x))))) (+.f64 #s(literal 0 binary64) (tan.f64 (+.f64 eps x)))) (.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 eps x))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 (+.f64 eps x))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 eps (+.f64 (PI.f64) x))))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 eps (+.f64 (PI.f64) x))))))))
(/.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (+.f64 (tan.f64 eps) (tan.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 eps) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 eps) (tan.f64 x)))))
(/.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (sin.f64 (+.f64 eps x))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x))) (cos.f64 (+.f64 eps x))))
(/.f64 (.f64 (sin.f64 (+.f64 eps x)) (+.f64 (tan.f64 eps) (tan.f64 x))) (.f64 (cos.f64 (+.f64 eps x)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x)))))
(/.f64 (.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x))) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(+.f64 (cosh.f64 (.f64 (log.f64 (tan.f64 (+.f64 eps x))) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (tan.f64 (+.f64 eps x))) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 eps x))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (tan.f64 (+.f64 eps x))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (tan.f64 (+.f64 eps x))) #s(literal 2 binary64)))

eval246.0ms (1.7%)

Memory: 32.2MiB live, 454.1MiB allocated; 52ms collecting garbage
Compiler: Compiled 69 925 to 6 486 computations (90.7% saved)

prune39.0ms (0.3%)

Memory

-12.9MiB live, 85.3MiB allocated; 12ms collecting garbage

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	1 044	13	1 057
Fresh	2	7	9
Picked	4	1	5
Done	0	1	1
Total	1 050	22	1 072

Accuracy

100.0%

Counts

1 072 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.6%	(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)))
	63.5%	(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (cos.f64 (+.f64 eps x))) (cos.f64 x))
▶	34.3%	(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))
	63.5%	(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	63.5%	(-.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))
	63.5%	(-.f64 (+.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (+.f64 eps x)))) (tan.f64 x))
	31.0%	(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 (pow.f64 (tan.f64 x) #s(literal 1/2 binary64)) (pow.f64 (tan.f64 x) #s(literal 1/2 binary64))))
✓	63.5%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	62.8%	(-.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)))
✓	34.3%	(.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)))
	34.3%	(.f64 (/.f64 (-.f64 #s(approx (pow (tan (+ eps x)) 2) (/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (cos.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)))
	34.3%	(.f64 (-.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (sin.f64 (fma.f64 #s(literal 2 binary64) x eps))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 (fma.f64 #s(literal 2 binary64) x eps)))) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
▶	99.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (*.f64 (+.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) #s(literal -1/6 binary64)) eps) eps (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x))) eps eps))
	99.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (.f64 #s(approx (+ ( (+ (* (+ (* (/ (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) -1/6) #s(literal 1/3 binary64)) eps) eps (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x))) eps eps))
▶	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
	99.7%	#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))
	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (/.f64 (+.f64 (sin.f64 (-.f64 (neg.f64 x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) (sin.f64 (+.f64 (neg.f64 x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps))
	99.3%	#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) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps))
	98.9%	#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))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) eps eps))
▶	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (*.f64 x x)) eps eps))
▶	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) eps) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))

Compiler

Compiled 1 265 to 738 computations (41.7% saved)

simplify159.0ms (1.1%)

Memory

-15.4MiB live, 169.1MiB allocated; 19ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	688
0	103	688
1	180	648
2	455	607
3	1994	590
0	8518	582

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

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

localize258.0ms (1.8%)

Memory

16.2MiB live, 292.8MiB allocated; 43ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.21875	(pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64))
accuracy	0.2421875	(+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))
accuracy	10.375565821114522	(-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
accuracy	31.395298051909137	(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))
accuracy	0.01171875	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
accuracy	0.01171875	(*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) eps)
accuracy	0.01953125	(pow.f64 (tan.f64 x) #s(literal 4 binary64))
accuracy	0.4594350062898985	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) eps) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
accuracy	0.0	(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)
accuracy	0.0	(tan.f64 x)
accuracy	0.01171875	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
accuracy	0.4594350062898985	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
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	0.4594350062898985	#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	0.9436268451868153	#s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (*.f64 x x))
accuracy	0.078125	(fma.f64 (*.f64 (+.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) #s(literal -1/6 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)))
accuracy	0.10546875	(fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))
accuracy	0.26171875	(*.f64 (+.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) #s(literal -1/6 binary64)) eps)
accuracy	0.986660009768442	(+.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) #s(literal -1/6 binary64))

Samples

165.0ms	157×	1	valid
43.0ms	98×	0	valid
2.0ms	1×	3	valid

Compiler

Compiled 617 to 57 computations (90.8% saved)

Precisions

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

adjust: 39.0ms (23.8% of total)

ival-mult: 28.0ms (17.1% of total)

ival-add: 23.0ms (14% of total)

ival-sub: 16.0ms (9.8% of total)

ival-pow2: 15.0ms (9.1% of total)

ival-div: 14.0ms (8.5% of total)

ival-tan: 9.0ms (5.5% of total)

const: 6.0ms (3.7% of total)

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

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

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

ival-neg: 2.0ms (1.2% of total)

exact: 1.0ms (0.6% of total)

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

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

series84.0ms (0.6%)

Memory

13.0MiB live, 80.1MiB allocated; 14ms collecting garbage

Counts

25 → 141

Calls

Call 1

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

Outputs
-1/2
(- (* -1/3 (pow x 2)) 1/2)
(- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/2)
(- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/2)
(- (* -4/3 (pow x 2)) 1/2)
(- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/2)
(- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/2)
1/3
(+ 1/3 (* 4/3 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 4/3 (* 17/9 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/9 (* 248/135 (pow x 2)))))))
-1
(- (* -1 (pow x 2)) 1)
(- (* (pow x 2) (- (* -2/3 (pow x 2)) 1)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)) 1)
(/ (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)))
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))))))))
(+ 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))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(+ eps (* (pow x 2) (- (* 2/3 (* eps (pow x 2))) (* -1 eps))))
(+ eps (* (pow x 2) (- (* (pow x 2) (- (* 17/45 (* eps (pow x 2))) (* -2/3 eps))) (* -1 eps))))
(* -1 eps)
(+ (* -1 eps) (* eps (pow x 4)))
(+ (* -1 eps) (* (pow x 4) (+ eps (* 4/3 (* eps (pow x 2))))))
(+ (* -1 eps) (* (pow x 4) (+ eps (* (pow x 2) (+ (* 6/5 (* eps (pow x 2))) (* 4/3 eps))))))
(- (pow x 4) 1)
(- (* (pow x 4) (+ 1 (* 4/3 (pow x 2)))) 1)
(- (* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* 6/5 (pow x 2)))))) 1)
(+ (* x (- (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) 2)) (/ (sin eps) (cos eps)))
(+ (* x (- (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* x (- (/ (* (cos eps) (- (+ (* 2 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) 1)) (sin eps)) (+ (/ (* (cos eps) (* (- 2 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (- (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) 2))) (sin eps)) (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))))) 2)) (/ (sin eps) (cos eps)))
(+ (* x (- (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* x (- (+ (* x (- (+ (* -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))) (/ (* (cos eps) (+ (* -2 (/ (* (sin eps) (+ 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))))))) (cos eps))) (* 2 (/ (* (sin eps) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (cos eps))))) (sin eps))))) (+ 1/6 (+ (* (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (- (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) 2)) (/ (* (cos eps) (* (- 2 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (- (/ (* (cos eps) (- (+ (* 2 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) 1)) (sin eps)) (+ (/ (* (cos eps) (* (- 2 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (- (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) 2))) (sin eps)) (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (sin eps)))))) (/ (* (cos eps) (- (+ (* 2 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) 1)) (sin eps))) (+ (/ (* (cos eps) (* (- 2 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (- (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) 2))) (sin eps)) (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))))) 2)) (/ (sin eps) (cos eps)))
(/ (pow (sin eps) 2) (pow (cos eps) 2))
(+ (* 2 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))
(+ (* x (+ (* 2 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (* x (- (+ (* 2 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) 1)))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))
(+ (* x (+ (* 2 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (* x (- (+ (* 2 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* x (+ (* -2 (/ (* (sin eps) (+ 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))))))) (cos eps))) (* 2 (/ (* (sin eps) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (cos eps))))) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2))) 1)))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))
(+ (* x (+ (* 2 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (* x (+ (* 2 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))
(+ (* x (+ (* 2 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (* x (+ (* 2 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* x (+ (* -2 (/ (* (sin eps) (+ 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))))))) (cos eps))) (* 2 (/ (* (sin eps) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (cos eps))))) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))
(+ (* 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)))
(* 1/3 eps)
(+ (* 1/3 eps) (* 4/3 (* eps (pow x 2))))
(+ (* 1/3 eps) (* (pow x 2) (+ (* 4/3 eps) (* 17/9 (* eps (pow x 2))))))
(+ (* 1/3 eps) (* (pow x 2) (+ (* 4/3 eps) (* (pow x 2) (+ (* 248/135 (* eps (pow x 2))) (* 17/9 eps))))))
(* eps x)
(* x (+ eps x))
(* x (+ eps (* x (+ 1 (* x (+ eps (* -1/6 eps)))))))
(* x (+ eps (* x (+ 1 (* x (+ eps (+ (* -1/6 eps) (* 1/6 x))))))))
(* 1/3 (pow eps 2))
(+ (* 1/3 (pow eps 2)) (* eps x))
(+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2)))))))
(+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (+ (* 4/3 (pow eps 2)) (* x (- (+ eps (* -1/6 eps)) (* -1/2 eps)))))))))
(pow x 4)
(* (pow x 4) (+ 1 (* 4/3 (pow x 2))))
(* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* 6/5 (pow x 2))))))
(* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 6/5 (* 848/945 (pow x 2))))))))
(+ (* x (- 2 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 2 (/ (* 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 (- (+ 2 (* x (- (* 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)))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)
(- 1/3 (+ (* -1/2 (/ (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 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)
(- (/ (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 x) (cos x))
(/ (* eps (- (/ (pow (sin x) 4) (pow (cos x) 4)) 1)) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(* eps (- (/ (pow (sin x) 4) (pow (cos x) 4)) 1))
(- (/ (pow (sin x) 4) (pow (cos x) 4)) 1)
(/ (- (/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2)) (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (sin x) (cos x)) (/ (sin (+ eps x)) (cos (+ eps x)))))
(- (/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2))
(/ (sin (+ eps x)) (cos (+ eps x)))
(* eps (- 1/3 (+ (* -1/2 (/ (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) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (/ (pow (sin x) 2) (cos x)))
(+ (* (pow eps 2) (- 1/3 (+ (* -1/2 (/ (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) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (pow (sin x) 4) (pow (cos x) 4))
(+ (/ (sin x) (cos x)) (/ (sin (+ eps x)) (cos (+ eps x))))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(/ (- (/ (pow (sin (- eps (* -1 x))) 2) (pow (cos (- eps (* -1 x))) 2)) (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (sin x) (cos x)) (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))))
(- (/ (pow (sin (- eps (* -1 x))) 2) (pow (cos (- eps (* -1 x))) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(/ (pow (sin (- eps (* -1 x))) 2) (pow (cos (- eps (* -1 x))) 2))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(+ (/ (sin x) (cos x)) (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (- (+ 1 (* eps (- (* 1/2 (/ (* (cos x) (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))) (sin x))) (* 1/2 (/ (* (cos x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (sin x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (+ (* 1/2 (/ (* (cos x) (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))) (sin x))) (* eps (- (* 1/2 (/ (* (cos x) (+ (* -2 (/ (* (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))) (* 2 (/ (* (sin x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (cos x))))) (sin x))) (+ (* 1/2 (/ (* (cos x) (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* 1/2 (/ (* (cos x) (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))) (sin x))) (* 1/2 (/ (* (cos x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (sin x)))))) (sin x))) (* 1/2 (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)))))) (* 1/2 (/ (* (cos x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (sin x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (+ (* 1/2 (/ (* (cos x) (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))) (sin x))) (* eps (- (+ (* 1/2 (/ (* (cos x) (+ (* -2 (/ (* (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))) (* 2 (/ (* (sin x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (cos x))))) (sin x))) (* eps (- (* 1/2 (/ (* (cos x) (+ (* -2 (* (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (* -2 (/ (* (sin x) (+ (* -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))))) (cos x))) (/ (* (pow (sin x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (cos x) 2))))) (sin x))) (+ (* -1/2 (/ (* (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 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin x))) (+ (* 1/2 (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* 1/2 (/ (* (cos x) (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))) (sin x))) (* 1/2 (/ (* (cos x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (sin x)))))) (* 1/2 (/ (* (cos x) (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* 1/2 (/ (* (cos x) (+ (* -2 (/ (* (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))) (* 2 (/ (* (sin x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (cos x))))) (sin x))) (+ (* 1/2 (/ (* (cos x) (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* 1/2 (/ (* (cos x) (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))) (sin x))) (* 1/2 (/ (* (cos x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (sin x)))))) (sin x))) (* 1/2 (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)))))) (sin x)))))))) (+ (* 1/2 (/ (* (cos x) (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* 1/2 (/ (* (cos x) (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))) (sin x))) (* 1/2 (/ (* (cos x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (sin x)))))) (sin x))) (* 1/2 (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)))))) (* 1/2 (/ (* (cos x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (sin x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* 2 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))
(* eps (+ (* 2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* eps (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)))))
(* eps (+ (* 2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* eps (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* eps (+ (* -2 (/ (* (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))) (* 2 (/ (* (sin x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (cos x))))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))))))
(* eps (+ (* 2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* eps (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* eps (+ (* -2 (/ (* (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))) (+ (* 2 (/ (* (sin x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (cos x))) (* eps (+ (* -2 (* (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (* -2 (/ (* (sin x) (+ (* -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))))) (cos x))) (/ (* (pow (sin x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (cos x) 2)))))))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))))))
(+ (* 2 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* eps (+ (* 2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* eps (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* eps (+ (* 2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* eps (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* eps (+ (* -2 (/ (* (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))) (* 2 (/ (* (sin x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (cos x))))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)))))) (/ (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)))
(/ (pow (sin x) 2) (cos x))
(+ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (pow (sin x) 2) (cos x)))
(+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* eps (+ (* eps (- 1/3 (+ (* -1/2 (/ (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) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(* 2 (/ (sin x) (cos x)))
(+ (* 2 (/ (sin x) (cos x))) (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(+ (* 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))))))
(+ (* 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))))))
(* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (pow (sin x) 2) (* eps (cos x)))))
(* (pow eps 2) (- 1/3 (+ (* -1/2 (/ (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))))))
(* (pow eps 2) (- (+ 1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x)))) (+ (* -1/2 (/ (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))))))
(* (pow eps 2) (- (+ 1/3 (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x))) (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
(/ (- (/ (pow (sin (- x (* -1 eps))) 2) (pow (cos (- x (* -1 eps))) 2)) (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (sin x) (cos x)) (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))))
(- (/ (pow (sin (- x (* -1 eps))) 2) (pow (cos (- x (* -1 eps))) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(/ (pow (sin (- x (* -1 eps))) 2) (pow (cos (- x (* -1 eps))) 2))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(* -1 (* eps (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))))
(* -1 (* eps (+ (* -1 (/ (pow (sin x) 2) (* eps (cos x)))) (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))))
(* (pow eps 2) (- (+ 1/3 (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (* eps (cos x))))) (+ (* -1/2 (/ (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))))))
(* (pow eps 2) (- (+ 1/3 (* -1 (/ (+ (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x))) eps))) (+ (* -1/2 (/ (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) (cos x)) (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))))

Calls

6 calls:

Time	Variable		Point	Expression
36.0ms	eps	@	inf	((+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (+ (* (/ -1 (pow (cos x) 2)) (pow (sin x) 2)) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) (+ (neg (+ (* (+ (* (/ -1 (pow (cos x) 2)) (pow (sin x) 2)) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)))) -1/6) (+ (* (/ -1 (pow (cos x) 2)) (pow (sin x) 2)) -1) (- (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 x)) (+ (* (pow (tan x) 2) eps) eps) (pow (tan x) 2) (tan x) (- (tan (+ x eps)) (tan x)) (/ (* (- (pow (tan x) 4) 1) eps) (- (pow (tan x) 2) 1)) (* (- (pow (tan x) 4) 1) eps) (- (pow (tan x) 4) 1) (/ (- (pow (tan (+ eps x)) 2) (pow (tan x) 2)) (+ (tan x) (tan (+ eps x)))) (- (pow (tan (+ eps x)) 2) (pow (tan x) 2)) (pow (tan (+ eps x)) 2) (tan (+ eps x)) (* (+ (neg (+ (* (+ (* (/ -1 (pow (cos x) 2)) (pow (sin x) 2)) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)))) -1/6) eps) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (+ (* (* (+ (neg (+ (* (+ (* (/ -1 (pow (cos x) 2)) (pow (sin x) 2)) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)))) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) (pow (tan x) 4) (+ (tan x) (tan (+ eps x))))
10.0ms	eps	@	0	((+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (+ (* (/ -1 (pow (cos x) 2)) (pow (sin x) 2)) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) (+ (neg (+ (* (+ (* (/ -1 (pow (cos x) 2)) (pow (sin x) 2)) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)))) -1/6) (+ (* (/ -1 (pow (cos x) 2)) (pow (sin x) 2)) -1) (- (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 x)) (+ (* (pow (tan x) 2) eps) eps) (pow (tan x) 2) (tan x) (- (tan (+ x eps)) (tan x)) (/ (* (- (pow (tan x) 4) 1) eps) (- (pow (tan x) 2) 1)) (* (- (pow (tan x) 4) 1) eps) (- (pow (tan x) 4) 1) (/ (- (pow (tan (+ eps x)) 2) (pow (tan x) 2)) (+ (tan x) (tan (+ eps x)))) (- (pow (tan (+ eps x)) 2) (pow (tan x) 2)) (pow (tan (+ eps x)) 2) (tan (+ eps x)) (* (+ (neg (+ (* (+ (* (/ -1 (pow (cos x) 2)) (pow (sin x) 2)) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)))) -1/6) eps) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (+ (* (* (+ (neg (+ (* (+ (* (/ -1 (pow (cos x) 2)) (pow (sin x) 2)) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)))) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) (pow (tan x) 4) (+ (tan x) (tan (+ eps x))))
9.0ms	x	@	inf	((+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (+ (* (/ -1 (pow (cos x) 2)) (pow (sin x) 2)) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) (+ (neg (+ (* (+ (* (/ -1 (pow (cos x) 2)) (pow (sin x) 2)) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)))) -1/6) (+ (* (/ -1 (pow (cos x) 2)) (pow (sin x) 2)) -1) (- (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 x)) (+ (* (pow (tan x) 2) eps) eps) (pow (tan x) 2) (tan x) (- (tan (+ x eps)) (tan x)) (/ (* (- (pow (tan x) 4) 1) eps) (- (pow (tan x) 2) 1)) (* (- (pow (tan x) 4) 1) eps) (- (pow (tan x) 4) 1) (/ (- (pow (tan (+ eps x)) 2) (pow (tan x) 2)) (+ (tan x) (tan (+ eps x)))) (- (pow (tan (+ eps x)) 2) (pow (tan x) 2)) (pow (tan (+ eps x)) 2) (tan (+ eps x)) (* (+ (neg (+ (* (+ (* (/ -1 (pow (cos x) 2)) (pow (sin x) 2)) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)))) -1/6) eps) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (+ (* (* (+ (neg (+ (* (+ (* (/ -1 (pow (cos x) 2)) (pow (sin x) 2)) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)))) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) (pow (tan x) 4) (+ (tan x) (tan (+ eps x))))
8.0ms	x	@	-inf	((+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (+ (* (/ -1 (pow (cos x) 2)) (pow (sin x) 2)) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) (+ (neg (+ (* (+ (* (/ -1 (pow (cos x) 2)) (pow (sin x) 2)) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)))) -1/6) (+ (* (/ -1 (pow (cos x) 2)) (pow (sin x) 2)) -1) (- (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 x)) (+ (* (pow (tan x) 2) eps) eps) (pow (tan x) 2) (tan x) (- (tan (+ x eps)) (tan x)) (/ (* (- (pow (tan x) 4) 1) eps) (- (pow (tan x) 2) 1)) (* (- (pow (tan x) 4) 1) eps) (- (pow (tan x) 4) 1) (/ (- (pow (tan (+ eps x)) 2) (pow (tan x) 2)) (+ (tan x) (tan (+ eps x)))) (- (pow (tan (+ eps x)) 2) (pow (tan x) 2)) (pow (tan (+ eps x)) 2) (tan (+ eps x)) (* (+ (neg (+ (* (+ (* (/ -1 (pow (cos x) 2)) (pow (sin x) 2)) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)))) -1/6) eps) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (+ (* (* (+ (neg (+ (* (+ (* (/ -1 (pow (cos x) 2)) (pow (sin x) 2)) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)))) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) (pow (tan x) 4) (+ (tan x) (tan (+ eps x))))
8.0ms	x	@	0	((+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (+ (* (/ -1 (pow (cos x) 2)) (pow (sin x) 2)) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) (+ (neg (+ (* (+ (* (/ -1 (pow (cos x) 2)) (pow (sin x) 2)) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)))) -1/6) (+ (* (/ -1 (pow (cos x) 2)) (pow (sin x) 2)) -1) (- (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 x)) (+ (* (pow (tan x) 2) eps) eps) (pow (tan x) 2) (tan x) (- (tan (+ x eps)) (tan x)) (/ (* (- (pow (tan x) 4) 1) eps) (- (pow (tan x) 2) 1)) (* (- (pow (tan x) 4) 1) eps) (- (pow (tan x) 4) 1) (/ (- (pow (tan (+ eps x)) 2) (pow (tan x) 2)) (+ (tan x) (tan (+ eps x)))) (- (pow (tan (+ eps x)) 2) (pow (tan x) 2)) (pow (tan (+ eps x)) 2) (tan (+ eps x)) (* (+ (neg (+ (* (+ (* (/ -1 (pow (cos x) 2)) (pow (sin x) 2)) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)))) -1/6) eps) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (+ (* (* (+ (neg (+ (* (+ (* (/ -1 (pow (cos x) 2)) (pow (sin x) 2)) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)))) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) (pow (tan x) 4) (+ (tan x) (tan (+ eps x))))

simplify218.0ms (1.5%)

Memory

15.6MiB live, 194.0MiB allocated; 49ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	624	6315
1	2081	5974
0	8381	5707

Stop Event

1×	iter limit
1×	node limit

Counts

141 → 139

Calls

Call 1

Inputs
-1/2
(- (* -1/3 (pow x 2)) 1/2)
(- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/2)
(- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/2)
(- (* -4/3 (pow x 2)) 1/2)
(- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/2)
(- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/2)
1/3
(+ 1/3 (* 4/3 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 4/3 (* 17/9 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/9 (* 248/135 (pow x 2)))))))
-1
(- (* -1 (pow x 2)) 1)
(- (* (pow x 2) (- (* -2/3 (pow x 2)) 1)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)) 1)
(/ (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)))
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))))))))
(+ 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))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(+ eps (* (pow x 2) (- (* 2/3 (* eps (pow x 2))) (* -1 eps))))
(+ eps (* (pow x 2) (- (* (pow x 2) (- (* 17/45 (* eps (pow x 2))) (* -2/3 eps))) (* -1 eps))))
(* -1 eps)
(+ (* -1 eps) (* eps (pow x 4)))
(+ (* -1 eps) (* (pow x 4) (+ eps (* 4/3 (* eps (pow x 2))))))
(+ (* -1 eps) (* (pow x 4) (+ eps (* (pow x 2) (+ (* 6/5 (* eps (pow x 2))) (* 4/3 eps))))))
(- (pow x 4) 1)
(- (* (pow x 4) (+ 1 (* 4/3 (pow x 2)))) 1)
(- (* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* 6/5 (pow x 2)))))) 1)
(+ (* x (- (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) 2)) (/ (sin eps) (cos eps)))
(+ (* x (- (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* x (- (/ (* (cos eps) (- (+ (* 2 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) 1)) (sin eps)) (+ (/ (* (cos eps) (* (- 2 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (- (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) 2))) (sin eps)) (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))))) 2)) (/ (sin eps) (cos eps)))
(+ (* x (- (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* x (- (+ (* x (- (+ (* -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))) (/ (* (cos eps) (+ (* -2 (/ (* (sin eps) (+ 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))))))) (cos eps))) (* 2 (/ (* (sin eps) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (cos eps))))) (sin eps))))) (+ 1/6 (+ (* (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (- (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) 2)) (/ (* (cos eps) (* (- 2 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (- (/ (* (cos eps) (- (+ (* 2 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) 1)) (sin eps)) (+ (/ (* (cos eps) (* (- 2 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (- (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) 2))) (sin eps)) (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (sin eps)))))) (/ (* (cos eps) (- (+ (* 2 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) 1)) (sin eps))) (+ (/ (* (cos eps) (* (- 2 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (- (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) 2))) (sin eps)) (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))))) 2)) (/ (sin eps) (cos eps)))
(/ (pow (sin eps) 2) (pow (cos eps) 2))
(+ (* 2 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))
(+ (* x (+ (* 2 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (* x (- (+ (* 2 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) 1)))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))
(+ (* x (+ (* 2 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (* x (- (+ (* 2 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* x (+ (* -2 (/ (* (sin eps) (+ 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))))))) (cos eps))) (* 2 (/ (* (sin eps) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (cos eps))))) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2))) 1)))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))
(+ (* x (+ (* 2 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (* x (+ (* 2 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))
(+ (* x (+ (* 2 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (* x (+ (* 2 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* x (+ (* -2 (/ (* (sin eps) (+ 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))))))) (cos eps))) (* 2 (/ (* (sin eps) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (cos eps))))) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))
(+ (* 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)))
(* 1/3 eps)
(+ (* 1/3 eps) (* 4/3 (* eps (pow x 2))))
(+ (* 1/3 eps) (* (pow x 2) (+ (* 4/3 eps) (* 17/9 (* eps (pow x 2))))))
(+ (* 1/3 eps) (* (pow x 2) (+ (* 4/3 eps) (* (pow x 2) (+ (* 248/135 (* eps (pow x 2))) (* 17/9 eps))))))
(* eps x)
(* x (+ eps x))
(* x (+ eps (* x (+ 1 (* x (+ eps (* -1/6 eps)))))))
(* x (+ eps (* x (+ 1 (* x (+ eps (+ (* -1/6 eps) (* 1/6 x))))))))
(* 1/3 (pow eps 2))
(+ (* 1/3 (pow eps 2)) (* eps x))
(+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2)))))))
(+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (+ (* 4/3 (pow eps 2)) (* x (- (+ eps (* -1/6 eps)) (* -1/2 eps)))))))))
(pow x 4)
(* (pow x 4) (+ 1 (* 4/3 (pow x 2))))
(* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* 6/5 (pow x 2))))))
(* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 6/5 (* 848/945 (pow x 2))))))))
(+ (* x (- 2 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 2 (/ (* 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 (- (+ 2 (* x (- (* 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)))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)
(- 1/3 (+ (* -1/2 (/ (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 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)
(- (/ (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 x) (cos x))
(/ (* eps (- (/ (pow (sin x) 4) (pow (cos x) 4)) 1)) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(* eps (- (/ (pow (sin x) 4) (pow (cos x) 4)) 1))
(- (/ (pow (sin x) 4) (pow (cos x) 4)) 1)
(/ (- (/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2)) (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (sin x) (cos x)) (/ (sin (+ eps x)) (cos (+ eps x)))))
(- (/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2))
(/ (sin (+ eps x)) (cos (+ eps x)))
(* eps (- 1/3 (+ (* -1/2 (/ (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) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (/ (pow (sin x) 2) (cos x)))
(+ (* (pow eps 2) (- 1/3 (+ (* -1/2 (/ (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) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (pow (sin x) 4) (pow (cos x) 4))
(+ (/ (sin x) (cos x)) (/ (sin (+ eps x)) (cos (+ eps x))))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(/ (- (/ (pow (sin (- eps (* -1 x))) 2) (pow (cos (- eps (* -1 x))) 2)) (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (sin x) (cos x)) (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))))
(- (/ (pow (sin (- eps (* -1 x))) 2) (pow (cos (- eps (* -1 x))) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(/ (pow (sin (- eps (* -1 x))) 2) (pow (cos (- eps (* -1 x))) 2))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(+ (/ (sin x) (cos x)) (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (- (+ 1 (* eps (- (* 1/2 (/ (* (cos x) (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))) (sin x))) (* 1/2 (/ (* (cos x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (sin x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (+ (* 1/2 (/ (* (cos x) (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))) (sin x))) (* eps (- (* 1/2 (/ (* (cos x) (+ (* -2 (/ (* (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))) (* 2 (/ (* (sin x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (cos x))))) (sin x))) (+ (* 1/2 (/ (* (cos x) (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* 1/2 (/ (* (cos x) (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))) (sin x))) (* 1/2 (/ (* (cos x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (sin x)))))) (sin x))) (* 1/2 (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)))))) (* 1/2 (/ (* (cos x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (sin x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (+ (* 1/2 (/ (* (cos x) (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))) (sin x))) (* eps (- (+ (* 1/2 (/ (* (cos x) (+ (* -2 (/ (* (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))) (* 2 (/ (* (sin x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (cos x))))) (sin x))) (* eps (- (* 1/2 (/ (* (cos x) (+ (* -2 (* (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (* -2 (/ (* (sin x) (+ (* -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))))) (cos x))) (/ (* (pow (sin x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (cos x) 2))))) (sin x))) (+ (* -1/2 (/ (* (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 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin x))) (+ (* 1/2 (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* 1/2 (/ (* (cos x) (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))) (sin x))) (* 1/2 (/ (* (cos x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (sin x)))))) (* 1/2 (/ (* (cos x) (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* 1/2 (/ (* (cos x) (+ (* -2 (/ (* (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))) (* 2 (/ (* (sin x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (cos x))))) (sin x))) (+ (* 1/2 (/ (* (cos x) (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* 1/2 (/ (* (cos x) (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))) (sin x))) (* 1/2 (/ (* (cos x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (sin x)))))) (sin x))) (* 1/2 (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)))))) (sin x)))))))) (+ (* 1/2 (/ (* (cos x) (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* 1/2 (/ (* (cos x) (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))) (sin x))) (* 1/2 (/ (* (cos x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (sin x)))))) (sin x))) (* 1/2 (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)))))) (* 1/2 (/ (* (cos x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (sin x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* 2 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))
(* eps (+ (* 2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* eps (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)))))
(* eps (+ (* 2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* eps (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* eps (+ (* -2 (/ (* (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))) (* 2 (/ (* (sin x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (cos x))))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))))))
(* eps (+ (* 2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* eps (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* eps (+ (* -2 (/ (* (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))) (+ (* 2 (/ (* (sin x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (cos x))) (* eps (+ (* -2 (* (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (* -2 (/ (* (sin x) (+ (* -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))))) (cos x))) (/ (* (pow (sin x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (cos x) 2)))))))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))))))
(+ (* 2 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* eps (+ (* 2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* eps (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* eps (+ (* 2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* eps (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* eps (+ (* -2 (/ (* (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))) (* 2 (/ (* (sin x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (cos x))))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)))))) (/ (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)))
(/ (pow (sin x) 2) (cos x))
(+ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (pow (sin x) 2) (cos x)))
(+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* eps (+ (* eps (- 1/3 (+ (* -1/2 (/ (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) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(* 2 (/ (sin x) (cos x)))
(+ (* 2 (/ (sin x) (cos x))) (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(+ (* 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))))))
(+ (* 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))))))
(* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (pow (sin x) 2) (* eps (cos x)))))
(* (pow eps 2) (- 1/3 (+ (* -1/2 (/ (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))))))
(* (pow eps 2) (- (+ 1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x)))) (+ (* -1/2 (/ (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))))))
(* (pow eps 2) (- (+ 1/3 (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x))) (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
(/ (- (/ (pow (sin (- x (* -1 eps))) 2) (pow (cos (- x (* -1 eps))) 2)) (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (sin x) (cos x)) (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))))
(- (/ (pow (sin (- x (* -1 eps))) 2) (pow (cos (- x (* -1 eps))) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(/ (pow (sin (- x (* -1 eps))) 2) (pow (cos (- x (* -1 eps))) 2))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(* -1 (* eps (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))))
(* -1 (* eps (+ (* -1 (/ (pow (sin x) 2) (* eps (cos x)))) (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))))
(* (pow eps 2) (- (+ 1/3 (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (* eps (cos x))))) (+ (* -1/2 (/ (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))))))
(* (pow eps 2) (- (+ 1/3 (* -1 (/ (+ (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x))) eps))) (+ (* -1/2 (/ (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) (cos x)) (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* -1/3 (pow x 2)) 1/2)
(-.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/2 binary64))
(- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/2)
(-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -2/9 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/2)
(-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -17/135 binary64) (.f64 x x)) #s(literal 2/9 binary64)) x) x) #s(literal 1/3 binary64)) (.f64 x x)) #s(literal 1/2 binary64))
(- (* -4/3 (pow x 2)) 1/2)
(-.f64 (.f64 #s(literal -4/3 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/2)
(-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -17/9 binary64) (.f64 x x)) #s(literal 4/3 binary64)) x) x) #s(literal 1/2 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/2)
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1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 4/3 (pow x 2)))
(fma.f64 #s(literal 4/3 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 4/3 (* 17/9 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 17/9 binary64) (.f64 x x) #s(literal 4/3 binary64)) (.f64 x x) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/9 (* 248/135 (pow x 2)))))))
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-1
#s(literal -1 binary64)
(- (* -1 (pow x 2)) 1)
(-.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))
(- (* (pow x 2) (- (* -2/3 (pow x 2)) 1)) 1)
(-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (.f64 x x)) #s(literal 1 binary64)) x) x) #s(literal 1 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)) 1)
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(/ (sin eps) (cos eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(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 (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
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eps
(+ eps (* eps (pow x 2)))
(fma.f64 (*.f64 eps x) x eps)
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (* -1/3 eps) (* -1 eps))))))
(fma.f64 (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) eps 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))))))))
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(+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2))))))
(fma.f64 (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) eps eps) (*.f64 x x) eps)
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (+ (* 17/45 (* eps (pow x 2))) (* 2/3 eps))))))
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x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
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(+ eps (* (pow x 2) (- (* 2/3 (* eps (pow x 2))) (* -1 eps))))
(fma.f64 (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) eps eps) (*.f64 x x) eps)
(+ eps (* (pow x 2) (- (* (pow x 2) (- (* 17/45 (* eps (pow x 2))) (* -2/3 eps))) (* -1 eps))))
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(* -1 eps)
(neg.f64 eps)
(+ (* -1 eps) (* eps (pow x 4)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) eps (neg.f64 eps))
(+ (* -1 eps) (* (pow x 4) (+ eps (* 4/3 (* eps (pow x 2))))))
(fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 4/3 binary64) eps) (pow.f64 x #s(literal 4 binary64)) (neg.f64 eps))
(+ (* -1 eps) (* (pow x 4) (+ eps (* (pow x 2) (+ (* 6/5 (* eps (pow x 2))) (* 4/3 eps))))))
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(- (pow x 4) 1)
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(- (* (pow x 4) (+ 1 (* 4/3 (pow x 2)))) 1)
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(*.f64 #s(literal 1/3 binary64) eps)
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(+ (* 1/3 eps) (* (pow x 2) (+ (* 4/3 eps) (* 17/9 (* eps (pow x 2))))))
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(* eps x)
(*.f64 eps x)
(* x (+ eps x))
(*.f64 (+.f64 eps x) x)
(* x (+ eps (* x (+ 1 (* x (+ eps (* -1/6 eps)))))))
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(* x (+ eps (* x (+ 1 (* x (+ eps (+ (* -1/6 eps) (* 1/6 x))))))))
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(* 1/3 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/3 binary64))
(+ (* 1/3 (pow eps 2)) (* eps x))
(fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) (.f64 eps x))
(+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2)))))))
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(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* 4/3 (pow x 2))))
(.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 x x) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* 6/5 (pow x 2))))))
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(* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 6/5 (* 848/945 (pow x 2))))))))
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(- 1/3 (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))))
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(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
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(+ eps (/ (* eps (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)
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (* eps (- (/ (pow (sin x) 4) (pow (cos x) 4)) 1)) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal 1 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 (- (/ (pow (sin x) 4) (pow (cos x) 4)) 1))
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(- (/ (pow (sin x) 4) (pow (cos x) 4)) 1)
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(- (/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))
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(/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2))
(/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(* eps (- 1/3 (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))))
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(+ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (/ (pow (sin x) 2) (cos x)))
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(+ (* (pow eps 2) (- 1/3 (+ (* -1/2 (/ (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) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
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(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(+ (/ (sin x) (cos x)) (/ (sin (+ eps x)) (cos (+ eps x))))
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(/ (- (/ (pow (sin (- eps (* -1 x))) 2) (pow (cos (- eps (* -1 x))) 2)) (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (sin x) (cos x)) (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))))
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))))
(- (/ (pow (sin (- eps (* -1 x))) 2) (pow (cos (- eps (* -1 x))) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))
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(/ (pow (sin (- eps (* -1 x))) 2) (pow (cos (- eps (* -1 x))) 2))
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(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(+ (/ (sin x) (cos x)) (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))))
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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 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(fma.f64 (fma.f64 (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))) eps eps) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps (/.f64 (sin.f64 x) (cos.f64 x)))
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 eps) (fma.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 1/6 binary64))) (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) (sin.f64 x)) (cos.f64 x))) eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps (/.f64 (sin.f64 x) (cos.f64 x)))
(/ (pow (sin x) 2) (cos x))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))
(+ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (pow (sin x) 2) (cos x)))
(fma.f64 (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)))
(+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(fma.f64 (sin.f64 x) (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ (* eps (+ (* eps (- 1/3 (+ (* -1/2 (/ (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) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(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 (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)) (pow.f64 (cos.f64 x) #s(literal 2 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)) (cos.f64 x))) eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(* 2 (/ (sin x) (cos x)))
(/.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))
(+ (* 2 (/ (sin x) (cos x))) (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps))
(+ (* 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))))))
(fma.f64 (fma.f64 (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))) eps eps) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps (/.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 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))))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 eps) (fma.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 1/6 binary64))) (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) (sin.f64 x)) (cos.f64 x))) eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps (/.f64 (.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))
(* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(*.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x))
(* eps (+ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (pow (sin x) 2) (* eps (cos x)))))
(*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (sin.f64 x) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) (cos.f64 x))) eps)
(* (pow eps 2) (- 1/3 (+ (* -1/2 (/ (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 (-.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 (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)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 eps eps))
(* (pow eps 2) (- (+ 1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))))
(.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps) (/.f64 (sin.f64 x) (cos.f64 x)) (-.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 (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)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (*.f64 eps eps))
(* (pow eps 2) (- (+ 1/3 (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x))) (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))))
(.f64 (-.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps) (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #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 (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)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 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)))
(* -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)))
(/ (- (/ (pow (sin (- x (* -1 eps))) 2) (pow (cos (- x (* -1 eps))) 2)) (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (sin x) (cos x)) (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))))
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))))
(- (/ (pow (sin (- x (* -1 eps))) 2) (pow (cos (- x (* -1 eps))) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/ (pow (sin (- x (* -1 eps))) 2) (pow (cos (- x (* -1 eps))) 2))
(/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(* -1 (* eps (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))))
(.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(* -1 (* eps (+ (* -1 (/ (pow (sin x) 2) (* eps (cos x)))) (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))))
(*.f64 (neg.f64 eps) (fma.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 x) (/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x)) eps)))
(* (pow eps 2) (- (+ 1/3 (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (* eps (cos x))))) (+ (* -1/2 (/ (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 (-.f64 #s(literal 1/3 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps) (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64) (.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)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (*.f64 eps eps))
(* (pow eps 2) (- (+ 1/3 (* -1 (/ (+ (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x))) eps))) (+ (* -1/2 (/ (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 (-.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 x)) (/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) eps) (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 (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)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 eps eps))
(+ (/ (sin x) (cos x)) (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))

rewrite219.0ms (1.5%)

Memory

8.4MiB live, 197.7MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	394
0	99	366
1	426	289
2	3330	289
0	8196	278

Stop Event

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

Counts

25 → 483

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/36 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))))
(/.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal -1/8 binary64)) (+.f64 (pow.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)))))))
(/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))))))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/6 binary64) (tan.f64 x))) (tan.f64 x) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (tan.f64 x)) (tan.f64 x) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (tan.f64 x)) (tan.f64 x) (+.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))))
(fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1/2 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (+.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (tan.f64 x) (fabs.f64 (*.f64 (tan.f64 x) #s(literal 1/6 binary64))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (tan.f64 x) (*.f64 (tan.f64 x) #s(literal 1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (tan.f64 x) (.f64 (tan.f64 x) #s(literal -1/2 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (-.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(-.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(-.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(-.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(+.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(+.f64 (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)))))) (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)))))))
(+.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))
(+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))))
(+.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(+.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(+.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/6 binary64))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/2 binary64)) (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (pow.f64 (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/6 binary64))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/2 binary64)) (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/2 binary64)) (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/2 binary64)) (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/2 binary64)) (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))
(fma.f64 (fabs.f64 (.f64 #s(literal 1/6 binary64) (tan.f64 x))) (tan.f64 x) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
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eval170.0ms (1.2%)

Memory: -13.3MiB live, 265.1MiB allocated; 48ms collecting garbage
Compiler: Compiled 50 389 to 5 196 computations (89.7% saved)

prune36.0ms (0.3%)

Memory

27.9MiB live, 74.5MiB allocated; 3ms collecting garbage

Pruning

24 alts after pruning (21 fresh and 3 done)

	Pruned	Kept	Total
New	939	13	952
Fresh	7	8	15
Picked	3	2	5
Done	1	1	2
Total	950	24	974

Accuracy

100.0%

Counts

974 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.4%	(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x)))) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))
	34.0%	(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) (tan.f64 (+.f64 eps x))))
▶	34.3%	(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))
	63.5%	(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	63.5%	(-.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))
	63.5%	(-.f64 (+.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (+.f64 eps x)))) (tan.f64 x))
✓	63.5%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	34.3%	(.f64 (-.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (sin.f64 (fma.f64 #s(literal 2 binary64) x eps))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 (fma.f64 #s(literal 2 binary64) x eps)))) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
▶	99.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (+.f64 #s(literal -1/6 binary64) (neg.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/2 binary64))))) (*.f64 eps eps) (fma.f64 (fma.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps eps))
	99.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (.f64 #s(approx (+ ( (+ (* (+ (* (/ (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) -1/6) #s(literal 1/3 binary64)) eps) eps (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x))) eps eps))
	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) #s(literal 2 binary64)) eps eps))
✓	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
	99.7%	#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))
▶	98.9%	#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))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) eps eps))
	99.0%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (* (* (+ (neg (+ (* (+ (* (/ -1 (pow (cos x) 2)) (pow (sin x) 2)) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)))) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) x eps) x (.f64 (*.f64 eps eps) #s(literal 1/3 binary64)))) eps eps))
	99.0%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (* (* (+ (neg (+ (* (+ (* (/ -1 (pow (cos x) 2)) (pow (sin x) 2)) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)))) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) eps) x (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64))) x eps) x (.f64 (.f64 eps eps) #s(literal 1/3 binary64)))) eps eps))
	98.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (* (* (+ (neg (+ (* (+ (* (/ -1 (pow (cos x) 2)) (pow (sin x) 2)) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)))) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) (.f64 eps x))) eps eps))
	98.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (* (* (+ (neg (+ (* (+ (* (/ -1 (pow (cos x) 2)) (pow (sin x) 2)) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)))) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) (.f64 (.f64 eps eps) #s(literal 1/3 binary64))) eps eps))
▶	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 (PI.f64) x)) #s(literal 4 binary64)) #s(literal 1 binary64)) eps) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) eps) (-.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) #s(literal 2 binary64)) #s(literal 1 binary64))))
✓	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) eps) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 x x))) eps))
▶	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (fma.f64 (*.f64 eps x) x eps)))

Compiler

Compiled 1 883 to 1 056 computations (43.9% saved)

simplify185.0ms (1.3%)

Memory

-33.2MiB live, 129.9MiB allocated; 104ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	625
0	113	613
1	207	591
2	566	570
3	2539	559
0	8215	545

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

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

localize583.0ms (4%)

Memory

-1.5MiB live, 523.7MiB allocated; 65ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.2109375	(pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64))
accuracy	0.2421875	(+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))
accuracy	10.375565821114522	(-.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
accuracy	31.395298051909137	(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))
accuracy	0.01953125	(pow.f64 (tan.f64 (+.f64 (PI.f64) x)) #s(literal 4 binary64))
accuracy	0.028601281620653757	(+.f64 (PI.f64) x)
accuracy	0.4594350062898985	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 (PI.f64) x)) #s(literal 4 binary64)) #s(literal 1 binary64)) eps) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
accuracy	59.402762391483776	(tan.f64 (+.f64 (PI.f64) x))
accuracy	0.0078125	(.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))
accuracy	0.015625	(fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64))
accuracy	0.4594350062898985	#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))
accuracy	0.5055216595874825	#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)))
accuracy	0.0	(*.f64 eps x)
accuracy	0.00390625	(fma.f64 (*.f64 eps x) x eps)
accuracy	0.4594350062898985	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (fma.f64 (*.f64 eps x) x eps)))
accuracy	0.614660918453488	#s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (fma.f64 (*.f64 eps x) x eps))
accuracy	0.04107695249329704	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (+.f64 #s(literal -1/6 binary64) (neg.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/2 binary64))))) (*.f64 eps eps) (fma.f64 (fma.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps eps))
accuracy	0.078125	(fma.f64 (+.f64 #s(literal -1/6 binary64) (neg.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/2 binary64))))) (*.f64 eps eps) (fma.f64 (fma.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
accuracy	0.11328125	(fma.f64 (fma.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
accuracy	0.986660009768442	(+.f64 #s(literal -1/6 binary64) (neg.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/2 binary64)))))

Samples

477.0ms	253×	1	valid
5.0ms	2×	3	valid
1.0ms	1×	0	valid

Compiler

Compiled 510 to 69 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 414.0ms

ival-tan: 95.0ms (22.9% of total)

ival-add: 84.0ms (20.3% of total)

adjust: 70.0ms (16.9% of total)

ival-mult: 52.0ms (12.6% of total)

ival-pow2: 29.0ms (7% of total)

ival-div: 19.0ms (4.6% of total)

const: 16.0ms (3.9% of total)

ival-pow: 15.0ms (3.6% of total)

ival-cos: 11.0ms (2.7% of total)

ival-sub: 9.0ms (2.2% of total)

ival-sin: 7.0ms (1.7% of total)

ival-pi: 4.0ms (1% of total)

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

exact: 1.0ms (0.2% of total)

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

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

series89.0ms (0.6%)

Memory

21.1MiB live, 107.6MiB allocated; 15ms collecting garbage

Counts

26 → 149

Calls

Call 1

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

Outputs
-1/2
(- (* -4/3 (pow x 2)) 1/2)
(- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/2)
(- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/2)
1/3
(+ 1/3 (* 4/3 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 4/3 (* 17/9 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/9 (* 248/135 (pow x 2)))))))
1/2
(+ 1/2 (* 4/3 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 4/3 (* 17/9 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/9 (* 248/135 (pow x 2)))))))
(* eps x)
(* x (+ eps x))
(* x (+ eps (* x (+ 1 (* x (+ eps (* 1/3 eps)))))))
(* x (+ eps (* x (+ 1 (* x (+ eps (+ (* 1/3 eps) (* 2/3 x))))))))
(/ (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)))
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 (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))))
(* -1 (* eps (- (/ (pow (sin (PI)) 4) (pow (cos (PI)) 4)) 1)))
(+ (* -4 (/ (* eps (* x (* (pow (sin (PI)) 3) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))))) (pow (cos (PI)) 3))) (* -1 (* eps (- (/ (pow (sin (PI)) 4) (pow (cos (PI)) 4)) 1))))
(+ (* -1 (* eps (- (/ (pow (sin (PI)) 4) (pow (cos (PI)) 4)) 1))) (* x (+ (* -4 (/ (* eps (* (pow (sin (PI)) 3) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 3))) (* x (- (* -1 (* eps (+ (* 2 (/ (* (pow (sin (PI)) 2) (+ (* 2 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2))) (pow (cos (PI)) 2))) (* 4 (/ (* (pow (sin (PI)) 2) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (pow (cos (PI)) 2)))))) (* eps (- (/ (pow (sin (PI)) 4) (pow (cos (PI)) 4)) 1)))))))
(+ (* -1 (* eps (- (/ (pow (sin (PI)) 4) (pow (cos (PI)) 4)) 1))) (* x (+ (* -4 (/ (* eps (* (pow (sin (PI)) 3) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 3))) (* x (- (+ (* -1 (* eps (+ (* 2 (/ (* (pow (sin (PI)) 2) (+ (* 2 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2))) (pow (cos (PI)) 2))) (* 4 (/ (* (pow (sin (PI)) 2) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (pow (cos (PI)) 2)))))) (* x (- (* -1 (* eps (+ (* 2 (/ (* (pow (sin (PI)) 2) (+ (* -2 (/ (* (sin (PI)) (+ 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))))))) (cos (PI)))) (* 2 (/ (* (sin (PI)) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (cos (PI)))))) (pow (cos (PI)) 2))) (* 4 (/ (* (sin (PI)) (* (+ (* 2 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (cos (PI))))))) (* 4 (/ (* eps (* (pow (sin (PI)) 3) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 3)))))) (* eps (- (/ (pow (sin (PI)) 4) (pow (cos (PI)) 4)) 1)))))))
(* eps (- (/ (pow (sin (PI)) 4) (pow (cos (PI)) 4)) 1))
(+ (* 4 (/ (* eps (* x (* (pow (sin (PI)) 3) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))))) (pow (cos (PI)) 3))) (* eps (- (/ (pow (sin (PI)) 4) (pow (cos (PI)) 4)) 1)))
(+ (* eps (- (/ (pow (sin (PI)) 4) (pow (cos (PI)) 4)) 1)) (* x (+ (* 4 (/ (* eps (* (pow (sin (PI)) 3) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 3))) (* eps (* x (+ (* 2 (/ (* (pow (sin (PI)) 2) (+ (* 2 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2))) (pow (cos (PI)) 2))) (* 4 (/ (* (pow (sin (PI)) 2) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (pow (cos (PI)) 2)))))))))
(+ (* eps (- (/ (pow (sin (PI)) 4) (pow (cos (PI)) 4)) 1)) (* x (+ (* 4 (/ (* eps (* (pow (sin (PI)) 3) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 3))) (* x (+ (* eps (* x (+ (* 2 (/ (* (pow (sin (PI)) 2) (+ (* -2 (/ (* (sin (PI)) (+ 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))))))) (cos (PI)))) (* 2 (/ (* (sin (PI)) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (cos (PI)))))) (pow (cos (PI)) 2))) (* 4 (/ (* (sin (PI)) (* (+ (* 2 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (cos (PI))))))) (* eps (+ (* 2 (/ (* (pow (sin (PI)) 2) (+ (* 2 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2))) (pow (cos (PI)) 2))) (* 4 (/ (* (pow (sin (PI)) 2) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (pow (cos (PI)) 2))))))))))
(+ (* x (- (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (cos eps) (- (* 2 (/ (sin eps) (cos eps))) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (sin eps))) 2)) (/ (sin eps) (cos eps)))
(+ (* x (- (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* x (- (/ (* (cos eps) (- (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -2 (/ (* (sin eps) (- (* 2 (/ (sin eps) (cos eps))) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps))) (/ (* (pow (sin eps) 2) (+ (* -1 (pow (cos eps) 2)) (pow (sin eps) 2))) (pow (cos eps) 4))))) (sin eps)) (+ (/ (* (cos eps) (* (- 2 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (- (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (cos eps) (- (* 2 (/ (sin eps) (cos eps))) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (sin eps))) 2))) (sin eps)) (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (/ (* (cos eps) (- (* 2 (/ (sin eps) (cos eps))) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (sin eps)))) 2)) (/ (sin eps) (cos eps)))
(+ (* x (- (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* x (- (+ (* x (- (+ (* -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))) (/ (* (cos eps) (- (+ (* -1 (/ (sin eps) (cos eps))) (* -1/3 (/ (sin eps) (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (+ 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* -2 (/ (* (sin eps) (- (* 2 (/ (sin eps) (cos eps))) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps))) (/ (* (pow (sin eps) 2) (+ (* -1 (pow (cos eps) 2)) (pow (sin eps) 2))) (pow (cos eps) 4))))) (cos eps))) (+ (/ (* (+ (* -1 (pow (cos eps) 2)) (pow (sin eps) 2)) (- (* 2 (/ (sin eps) (cos eps))) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (pow (cos eps) 2)) (/ (* (pow (sin eps) 2) (+ (* 1/3 (* (cos eps) (sin eps))) (* (cos eps) (sin eps)))) (pow (cos eps) 4)))))) (sin eps))))) (+ 1/6 (+ (* (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (- (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (cos eps) (- (* 2 (/ (sin eps) (cos eps))) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (sin eps))) 2)) (/ (* (cos eps) (* (- 2 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (- (/ (* (cos eps) (- (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -2 (/ (* (sin eps) (- (* 2 (/ (sin eps) (cos eps))) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps))) (/ (* (pow (sin eps) 2) (+ (* -1 (pow (cos eps) 2)) (pow (sin eps) 2))) (pow (cos eps) 4))))) (sin eps)) (+ (/ (* (cos eps) (* (- 2 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (- (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (cos eps) (- (* 2 (/ (sin eps) (cos eps))) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (sin eps))) 2))) (sin eps)) (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (sin eps)))))) (/ (* (cos eps) (- (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -2 (/ (* (sin eps) (- (* 2 (/ (sin eps) (cos eps))) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps))) (/ (* (pow (sin eps) 2) (+ (* -1 (pow (cos eps) 2)) (pow (sin eps) 2))) (pow (cos eps) 4))))) (sin eps))) (+ (/ (* (cos eps) (* (- 2 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (- (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (cos eps) (- (* 2 (/ (sin eps) (cos eps))) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (sin eps))) 2))) (sin eps)) (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (/ (* (cos eps) (- (* 2 (/ (sin eps) (cos eps))) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (sin eps)))) 2)) (/ (sin eps) (cos eps)))
(/ (pow (sin eps) 2) (pow (cos eps) 2))
(+ (* x (- (* 2 (/ (sin eps) (cos eps))) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))
(+ (* x (- (+ (* 2 (/ (sin eps) (cos eps))) (* x (- (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -2 (/ (* (sin eps) (- (* 2 (/ (sin eps) (cos eps))) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps))) (/ (* (pow (sin eps) 2) (+ (* -1 (pow (cos eps) 2)) (pow (sin eps) 2))) (pow (cos eps) 4)))))) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))
(+ (* x (- (+ (* 2 (/ (sin eps) (cos eps))) (* x (- (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* x (- (+ (* -1 (/ (sin eps) (cos eps))) (* -1/3 (/ (sin eps) (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (+ 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* -2 (/ (* (sin eps) (- (* 2 (/ (sin eps) (cos eps))) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps))) (/ (* (pow (sin eps) 2) (+ (* -1 (pow (cos eps) 2)) (pow (sin eps) 2))) (pow (cos eps) 4))))) (cos eps))) (+ (/ (* (+ (* -1 (pow (cos eps) 2)) (pow (sin eps) 2)) (- (* 2 (/ (sin eps) (cos eps))) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (pow (cos eps) 2)) (/ (* (pow (sin eps) 2) (+ (* 1/3 (* (cos eps) (sin eps))) (* (cos eps) (sin eps)))) (pow (cos eps) 4))))))) (+ (* -2 (/ (* (sin eps) (- (* 2 (/ (sin eps) (cos eps))) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps))) (/ (* (pow (sin eps) 2) (+ (* -1 (pow (cos eps) 2)) (pow (sin eps) 2))) (pow (cos eps) 4)))))) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))
(+ (* x (- (+ (* 2 (/ (sin eps) (cos eps))) (* x (- (+ 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* -2 (/ (* (sin eps) (- (* 2 (/ (sin eps) (cos eps))) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps))) (/ (* (pow (sin eps) 2) (+ (* -1 (pow (cos eps) 2)) (pow (sin eps) 2))) (pow (cos eps) 4)))))) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))
(+ (* x (- (+ (* 2 (/ (sin eps) (cos eps))) (* x (- (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* x (- (+ (* -1 (/ (sin eps) (cos eps))) (* -1/3 (/ (sin eps) (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (+ 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* -2 (/ (* (sin eps) (- (* 2 (/ (sin eps) (cos eps))) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps))) (/ (* (pow (sin eps) 2) (+ (* -1 (pow (cos eps) 2)) (pow (sin eps) 2))) (pow (cos eps) 4))))) (cos eps))) (+ (/ (* (+ (* -1 (pow (cos eps) 2)) (pow (sin eps) 2)) (- (* 2 (/ (sin eps) (cos eps))) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (pow (cos eps) 2)) (/ (* (pow (sin eps) 2) (+ (* 1/3 (* (cos eps) (sin eps))) (* (cos eps) (sin eps)))) (pow (cos eps) 4)))))))) (+ (* -2 (/ (* (sin eps) (- (* 2 (/ (sin eps) (cos eps))) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps))) (/ (* (pow (sin eps) 2) (+ (* -1 (pow (cos eps) 2)) (pow (sin eps) 2))) (pow (cos eps) 4)))))) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))
(pow (sin eps) 2)
(+ (* 2 (* x (* (cos eps) (sin eps)))) (pow (sin eps) 2))
(+ (* x (+ (* 2 (* (cos eps) (sin eps))) (* x (+ (* -1 (pow (sin eps) 2)) (pow (cos eps) 2))))) (pow (sin eps) 2))
(+ (* x (+ (* 2 (* (cos eps) (sin eps))) (* x (+ (* -1 (pow (sin eps) 2)) (+ (* x (+ (* -1 (* (cos eps) (sin eps))) (* -1/3 (* (cos eps) (sin eps))))) (pow (cos eps) 2)))))) (pow (sin eps) 2))
(* 1/3 (pow eps 2))
(+ (* 1/3 (pow eps 2)) (* eps x))
(+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2)))))))
(+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (+ (* 4/3 (pow eps 2)) (* x (+ eps (* 1/3 eps)))))))))
2/3
(+ 2/3 (* 17/45 (pow x 2)))
(PI)
(+ x (PI))
(/ (pow (sin (PI)) 4) (pow (cos (PI)) 4))
(+ (* 4 (/ (* x (* (pow (sin (PI)) 3) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 3))) (/ (pow (sin (PI)) 4) (pow (cos (PI)) 4)))
(+ (* x (+ (* 4 (/ (* (pow (sin (PI)) 3) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 3))) (* x (+ (* 2 (/ (* (pow (sin (PI)) 2) (+ (* 2 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2))) (pow (cos (PI)) 2))) (* 4 (/ (* (pow (sin (PI)) 2) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (pow (cos (PI)) 2))))))) (/ (pow (sin (PI)) 4) (pow (cos (PI)) 4)))
(+ (* x (+ (* 4 (/ (* (pow (sin (PI)) 3) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 3))) (* x (+ (* 2 (/ (* (pow (sin (PI)) 2) (+ (* 2 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2))) (pow (cos (PI)) 2))) (+ (* 4 (/ (* (pow (sin (PI)) 2) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (pow (cos (PI)) 2))) (* x (+ (* 2 (/ (* (pow (sin (PI)) 2) (+ (* -2 (/ (* (sin (PI)) (+ 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))))))) (cos (PI)))) (* 2 (/ (* (sin (PI)) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (cos (PI)))))) (pow (cos (PI)) 2))) (* 4 (/ (* (sin (PI)) (* (+ (* 2 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (cos (PI))))))))))) (/ (pow (sin (PI)) 4) (pow (cos (PI)) 4)))
(+ (* x (- 2 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 2 (/ (* 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 (- (+ 2 (* x (- (* 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)))
(- (+ (* -1/3 (/ (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))) 1/2)
(- 1/3 (+ (* -1/3 (/ (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))))
(- 1/2 (+ (* -1/3 (/ (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) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(* eps (pow x 2))
(* (pow x 2) (+ eps (/ eps (pow x 2))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(* 17/45 (pow x 6))
(* (pow x 6) (+ 17/45 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/45 (+ (* 2/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(/ (sin (+ x (PI))) (cos (+ x (PI))))
(/ (* eps (- (/ (pow (sin (+ x (PI))) 4) (pow (cos (+ x (PI))) 4)) 1)) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(* eps (- (/ (pow (sin (+ x (PI))) 4) (pow (cos (+ x (PI))) 4)) 1))
(/ (- (/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2)) (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (sin x) (cos x)) (/ (sin (+ eps x)) (cos (+ eps x)))))
(- (/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2))
(pow (sin (+ eps x)) 2)
(+ (* (pow eps 2) (- 1/3 (+ (* -1/3 (/ (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) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(* 17/45 (pow x 2))
(* (pow x 2) (+ 17/45 (* 2/3 (/ 1 (pow x 2)))))
x
(* x (+ 1 (/ (PI) x)))
(/ (pow (sin (+ x (PI))) 4) (pow (cos (+ x (PI))) 4))
(+ (/ (sin x) (cos x)) (/ (sin (+ eps x)) (cos (+ eps x))))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x))))
(/ (* eps (- (/ (pow (sin (- (PI) (* -1 x))) 4) (pow (cos (- (PI) (* -1 x))) 4)) 1)) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(* eps (- (/ (pow (sin (- (PI) (* -1 x))) 4) (pow (cos (- (PI) (* -1 x))) 4)) 1))
(/ (- (/ (pow (sin (- eps (* -1 x))) 2) (pow (cos (- eps (* -1 x))) 2)) (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (sin x) (cos x)) (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))))
(- (/ (pow (sin (- eps (* -1 x))) 2) (pow (cos (- eps (* -1 x))) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(/ (pow (sin (- eps (* -1 x))) 2) (pow (cos (- eps (* -1 x))) 2))
(pow (sin (- eps (* -1 x))) 2)
(* -1 (* x (- (* -1 (/ (PI) x)) 1)))
(/ (pow (sin (- (PI) (* -1 x))) 4) (pow (cos (- (PI) (* -1 x))) 4))
(+ (/ (sin x) (cos x)) (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))))
(+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (pow x 2)))
(* 1/2 (/ (* eps (* (cos x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3)))))) (sin x)))
(* eps (+ (* 1/2 (/ (* (cos x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (sin x))) (* eps (- (* 1/2 (/ (* (cos x) (- (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))))) (sin x))) (* 1/4 (/ (* (pow (cos x) 2) (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3)))))) (pow (sin x) 2)))))))
(* eps (+ (* 1/2 (/ (* (cos x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (sin x))) (* eps (- (+ (* 1/2 (/ (* (cos x) (- (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))))) (sin x))) (* eps (- (* 1/2 (/ (* (cos x) (- (+ (* -1 (/ (sin x) (cos x))) (* -1/3 (/ (sin x) (cos x)))) (+ (* -2 (/ (* (sin x) (- (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))))) (cos x))) (+ (/ (* (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow (cos x) 2)) (/ (* (pow (sin x) 2) (+ (* 1/3 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (cos x) 4)))))) (sin x))) (+ (* 1/4 (/ (* (cos x) (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3)))))) (sin x))) (* 1/2 (/ (* (cos x) (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* 1/2 (/ (* (cos x) (- (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))))) (sin x))) (* 1/4 (/ (* (pow (cos x) 2) (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3)))))) (pow (sin x) 2)))))) (sin x))))))) (* 1/4 (/ (* (pow (cos x) 2) (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3)))))) (pow (sin x) 2)))))))
(* eps (+ (* 1/2 (/ (* (cos x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (sin x))) (* eps (- (+ (* 1/2 (/ (* (cos x) (- (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))))) (sin x))) (* eps (- (+ (* 1/2 (/ (* (cos x) (- (+ (* -1 (/ (sin x) (cos x))) (* -1/3 (/ (sin x) (cos x)))) (+ (* -2 (/ (* (sin x) (- (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))))) (cos x))) (+ (/ (* (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow (cos x) 2)) (/ (* (pow (sin x) 2) (+ (* 1/3 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (cos x) 4)))))) (sin x))) (* eps (- (* 1/2 (/ (* (cos x) (- (+ (* 1/12 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/4 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (+ (* -2 (/ (* (sin x) (- (+ (* -1 (/ (sin x) (cos x))) (* -1/3 (/ (sin x) (cos x)))) (+ (* -2 (/ (* (sin x) (- (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))))) (cos x))) (+ (/ (* (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow (cos x) 2)) (/ (* (pow (sin x) 2) (+ (* 1/3 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (cos x) 4)))))) (cos x))) (+ (/ (* (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (- (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))))) (pow (cos x) 2)) (+ (/ (* (+ (* 1/3 (* (cos x) (sin x))) (* (cos x) (sin x))) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow (cos x) 2)) (/ (* (pow (sin x) 2) (+ (* -1/3 (pow (sin x) 2)) (+ (* 1/12 (pow (cos x) 2)) (* 1/4 (pow (cos x) 2))))) (pow (cos x) 4)))))))) (sin x))) (+ (* -1/4 (/ (* (pow (cos x) 2) (* (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3)))))) (pow (sin x) 2))) (+ (* 1/2 (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* 1/2 (/ (* (cos x) (- (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))))) (sin x))) (* 1/4 (/ (* (pow (cos x) 2) (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3)))))) (pow (sin x) 2)))))) (* 1/2 (/ (* (cos x) (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* 1/2 (/ (* (cos x) (- (+ (* -1 (/ (sin x) (cos x))) (* -1/3 (/ (sin x) (cos x)))) (+ (* -2 (/ (* (sin x) (- (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))))) (cos x))) (+ (/ (* (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow (cos x) 2)) (/ (* (pow (sin x) 2) (+ (* 1/3 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (cos x) 4)))))) (sin x))) (+ (* 1/4 (/ (* (cos x) (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3)))))) (sin x))) (* 1/2 (/ (* (cos x) (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* 1/2 (/ (* (cos x) (- (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))))) (sin x))) (* 1/4 (/ (* (pow (cos x) 2) (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3)))))) (pow (sin x) 2)))))) (sin x))))))) (sin x)))))))) (+ (* 1/4 (/ (* (cos x) (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3)))))) (sin x))) (* 1/2 (/ (* (cos x) (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* 1/2 (/ (* (cos x) (- (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))))) (sin x))) (* 1/4 (/ (* (pow (cos x) 2) (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3)))))) (pow (sin x) 2)))))) (sin x))))))) (* 1/4 (/ (* (pow (cos x) 2) (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3)))))) (pow (sin x) 2)))))))
(* eps (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3)))))
(* eps (- (+ (* 2 (/ (sin x) (cos x))) (* eps (- (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4)))))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3)))))
(* eps (- (+ (* 2 (/ (sin x) (cos x))) (* eps (- (+ 1 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (- (+ (* -1 (/ (sin x) (cos x))) (* -1/3 (/ (sin x) (cos x)))) (+ (* -2 (/ (* (sin x) (- (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))))) (cos x))) (+ (/ (* (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow (cos x) 2)) (/ (* (pow (sin x) 2) (+ (* 1/3 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (cos x) 4)))))))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4)))))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3)))))
(* eps (- (+ (* 2 (/ (sin x) (cos x))) (* eps (- (+ 1 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (- (+ (* -1 (/ (sin x) (cos x))) (+ (* -1/3 (/ (sin x) (cos x))) (* eps (- (+ (* 1/12 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/4 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (+ (* -2 (/ (* (sin x) (- (+ (* -1 (/ (sin x) (cos x))) (* -1/3 (/ (sin x) (cos x)))) (+ (* -2 (/ (* (sin x) (- (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))))) (cos x))) (+ (/ (* (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow (cos x) 2)) (/ (* (pow (sin x) 2) (+ (* 1/3 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (cos x) 4)))))) (cos x))) (+ (/ (* (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (- (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))))) (pow (cos x) 2)) (+ (/ (* (+ (* 1/3 (* (cos x) (sin x))) (* (cos x) (sin x))) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow (cos x) 2)) (/ (* (pow (sin x) 2) (+ (* -1/3 (pow (sin x) 2)) (+ (* 1/12 (pow (cos x) 2)) (* 1/4 (pow (cos x) 2))))) (pow (cos x) 4)))))))))) (+ (* -2 (/ (* (sin x) (- (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))))) (cos x))) (+ (/ (* (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow (cos x) 2)) (/ (* (pow (sin x) 2) (+ (* 1/3 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (cos x) 4)))))))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4)))))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3)))))
(+ (* eps (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* eps (- (+ (* 2 (/ (sin x) (cos x))) (* eps (- (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4)))))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* eps (- (+ (* 2 (/ (sin x) (cos x))) (* eps (- (+ 1 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (- (+ (* -1 (/ (sin x) (cos x))) (* -1/3 (/ (sin x) (cos x)))) (+ (* -2 (/ (* (sin x) (- (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))))) (cos x))) (+ (/ (* (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow (cos x) 2)) (/ (* (pow (sin x) 2) (+ (* 1/3 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (cos x) 4)))))))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4)))))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(pow (sin x) 2)
(+ (* 2 (* eps (* (cos x) (sin x)))) (pow (sin x) 2))
(+ (* eps (+ (* 2 (* (cos x) (sin x))) (* eps (+ (* -1 (pow (sin x) 2)) (pow (cos x) 2))))) (pow (sin x) 2))
(+ (* eps (+ (* 2 (* (cos x) (sin x))) (* eps (+ (* -1 (pow (sin x) 2)) (+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/3 (* (cos x) (sin x))))) (pow (cos x) 2)))))) (pow (sin x) 2))
(+ (* eps (+ (* eps (- 1/3 (+ (* -1/3 (/ (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) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(* 2 (/ (sin x) (cos x)))
(+ (* 2 (/ (sin x) (cos x))) (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(+ (* 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))))))
(+ (* 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))))))
(/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
(* eps (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))
(* (pow eps 2) (- 1/3 (+ (* -1/3 (/ (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)))))
(* (pow eps 2) (- (+ 1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x)))) (+ (* -1/3 (/ (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)))))
(* (pow eps 2) (- (+ 1/3 (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x))) (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))))) (+ (* -1/3 (/ (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 (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))
(* -1 (* eps (+ (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x)))))
(- (/ (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 (* eps (- (* -1 (pow x 2)) 1)))
(/ (- (/ (pow (sin (- x (* -1 eps))) 2) (pow (cos (- x (* -1 eps))) 2)) (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (sin x) (cos x)) (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))))
(- (/ (pow (sin (- x (* -1 eps))) 2) (pow (cos (- x (* -1 eps))) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(/ (pow (sin (- x (* -1 eps))) 2) (pow (cos (- x (* -1 eps))) 2))
(pow (sin (- x (* -1 eps))) 2)
(* (pow eps 2) (- (+ 1/3 (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (* eps (cos x))))) (+ (* -1/3 (/ (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)))))
(* (pow eps 2) (- (+ 1/3 (* -1 (/ (+ (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x))) eps))) (+ (* -1/3 (/ (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) (cos x)) (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))))

Calls

6 calls:

Time	Variable		Point	Expression
33.0ms	x	@	0	((+ (* (+ (* -1 (pow (tan x) 2)) -1) (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/3) -1/2)) (+ -1/6 (neg (+ (* (+ (* -1 (pow (tan x) 2)) -1) (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/3) -1/2)))) (neg (+ (* (+ (* -1 (pow (tan x) 2)) -1) (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/3) -1/2))) (+ (* (+ (* eps (pow (tan x) 2)) eps) (tan x)) (pow (tan x) 2)) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (+ (* (* eps x) x) eps) (* eps x) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (* (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) (* x x)) (tan (+ (PI) x)) (- (tan (+ x eps)) (tan x)) (/ (* (- (pow (tan (+ (PI) x)) 4) 1) eps) (- (pow (tan x) 2) 1)) (* (- (pow (tan (+ (PI) x)) 4) 1) eps) (/ (- (/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2)) (pow (tan x) 2)) (+ (tan x) (tan (+ eps x)))) (- (/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2)) (pow (tan x) 2)) (/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2)) (pow (sin (+ eps x)) 2) (+ (* (+ -1/6 (neg (+ (* (+ (* -1 (pow (tan x) 2)) -1) (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/3) -1/2)))) (* eps eps)) (+ (* (+ (* eps (pow (tan x) 2)) eps) (tan x)) (pow (tan x) 2))) (- (tan (+ x eps)) (tan x)) (+ (* 17/45 (* x x)) 2/3) (+ (PI) x) (pow (tan (+ (PI) x)) 4) (+ (tan x) (tan (+ eps x))))
17.0ms	eps	@	0	((+ (* (+ (* -1 (pow (tan x) 2)) -1) (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/3) -1/2)) (+ -1/6 (neg (+ (* (+ (* -1 (pow (tan x) 2)) -1) (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/3) -1/2)))) (neg (+ (* (+ (* -1 (pow (tan x) 2)) -1) (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/3) -1/2))) (+ (* (+ (* eps (pow (tan x) 2)) eps) (tan x)) (pow (tan x) 2)) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (+ (* (* eps x) x) eps) (* eps x) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (* (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) (* x x)) (tan (+ (PI) x)) (- (tan (+ x eps)) (tan x)) (/ (* (- (pow (tan (+ (PI) x)) 4) 1) eps) (- (pow (tan x) 2) 1)) (* (- (pow (tan (+ (PI) x)) 4) 1) eps) (/ (- (/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2)) (pow (tan x) 2)) (+ (tan x) (tan (+ eps x)))) (- (/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2)) (pow (tan x) 2)) (/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2)) (pow (sin (+ eps x)) 2) (+ (* (+ -1/6 (neg (+ (* (+ (* -1 (pow (tan x) 2)) -1) (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/3) -1/2)))) (* eps eps)) (+ (* (+ (* eps (pow (tan x) 2)) eps) (tan x)) (pow (tan x) 2))) (- (tan (+ x eps)) (tan x)) (+ (* 17/45 (* x x)) 2/3) (+ (PI) x) (pow (tan (+ (PI) x)) 4) (+ (tan x) (tan (+ eps x))))
9.0ms	x	@	inf	((+ (* (+ (* -1 (pow (tan x) 2)) -1) (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/3) -1/2)) (+ -1/6 (neg (+ (* (+ (* -1 (pow (tan x) 2)) -1) (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/3) -1/2)))) (neg (+ (* (+ (* -1 (pow (tan x) 2)) -1) (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/3) -1/2))) (+ (* (+ (* eps (pow (tan x) 2)) eps) (tan x)) (pow (tan x) 2)) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (+ (* (* eps x) x) eps) (* eps x) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (* (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) (* x x)) (tan (+ (PI) x)) (- (tan (+ x eps)) (tan x)) (/ (* (- (pow (tan (+ (PI) x)) 4) 1) eps) (- (pow (tan x) 2) 1)) (* (- (pow (tan (+ (PI) x)) 4) 1) eps) (/ (- (/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2)) (pow (tan x) 2)) (+ (tan x) (tan (+ eps x)))) (- (/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2)) (pow (tan x) 2)) (/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2)) (pow (sin (+ eps x)) 2) (+ (* (+ -1/6 (neg (+ (* (+ (* -1 (pow (tan x) 2)) -1) (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/3) -1/2)))) (* eps eps)) (+ (* (+ (* eps (pow (tan x) 2)) eps) (tan x)) (pow (tan x) 2))) (- (tan (+ x eps)) (tan x)) (+ (* 17/45 (* x x)) 2/3) (+ (PI) x) (pow (tan (+ (PI) x)) 4) (+ (tan x) (tan (+ eps x))))
8.0ms	x	@	-inf	((+ (* (+ (* -1 (pow (tan x) 2)) -1) (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/3) -1/2)) (+ -1/6 (neg (+ (* (+ (* -1 (pow (tan x) 2)) -1) (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/3) -1/2)))) (neg (+ (* (+ (* -1 (pow (tan x) 2)) -1) (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/3) -1/2))) (+ (* (+ (* eps (pow (tan x) 2)) eps) (tan x)) (pow (tan x) 2)) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (+ (* (* eps x) x) eps) (* eps x) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (* (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) (* x x)) (tan (+ (PI) x)) (- (tan (+ x eps)) (tan x)) (/ (* (- (pow (tan (+ (PI) x)) 4) 1) eps) (- (pow (tan x) 2) 1)) (* (- (pow (tan (+ (PI) x)) 4) 1) eps) (/ (- (/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2)) (pow (tan x) 2)) (+ (tan x) (tan (+ eps x)))) (- (/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2)) (pow (tan x) 2)) (/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2)) (pow (sin (+ eps x)) 2) (+ (* (+ -1/6 (neg (+ (* (+ (* -1 (pow (tan x) 2)) -1) (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/3) -1/2)))) (* eps eps)) (+ (* (+ (* eps (pow (tan x) 2)) eps) (tan x)) (pow (tan x) 2))) (- (tan (+ x eps)) (tan x)) (+ (* 17/45 (* x x)) 2/3) (+ (PI) x) (pow (tan (+ (PI) x)) 4) (+ (tan x) (tan (+ eps x))))
8.0ms	eps	@	-inf	((+ (* (+ (* -1 (pow (tan x) 2)) -1) (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/3) -1/2)) (+ -1/6 (neg (+ (* (+ (* -1 (pow (tan x) 2)) -1) (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/3) -1/2)))) (neg (+ (* (+ (* -1 (pow (tan x) 2)) -1) (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/3) -1/2))) (+ (* (+ (* eps (pow (tan x) 2)) eps) (tan x)) (pow (tan x) 2)) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (+ (* (* eps x) x) eps) (* eps x) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (* (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) (* x x)) (tan (+ (PI) x)) (- (tan (+ x eps)) (tan x)) (/ (* (- (pow (tan (+ (PI) x)) 4) 1) eps) (- (pow (tan x) 2) 1)) (* (- (pow (tan (+ (PI) x)) 4) 1) eps) (/ (- (/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2)) (pow (tan x) 2)) (+ (tan x) (tan (+ eps x)))) (- (/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2)) (pow (tan x) 2)) (/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2)) (pow (sin (+ eps x)) 2) (+ (* (+ -1/6 (neg (+ (* (+ (* -1 (pow (tan x) 2)) -1) (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/3) -1/2)))) (* eps eps)) (+ (* (+ (* eps (pow (tan x) 2)) eps) (tan x)) (pow (tan x) 2))) (- (tan (+ x eps)) (tan x)) (+ (* 17/45 (* x x)) 2/3) (+ (PI) x) (pow (tan (+ (PI) x)) 4) (+ (tan x) (tan (+ eps x))))

simplify205.0ms (1.4%)

Memory

-22.2MiB live, 130.4MiB allocated; 20ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	775	7226
1	2786	6829
0	8652	6563

Stop Event

1×	iter limit
1×	node limit

Counts

149 → 147

Calls

Call 1

Inputs
-1/2
(- (* -4/3 (pow x 2)) 1/2)
(- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/2)
(- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/2)
1/3
(+ 1/3 (* 4/3 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 4/3 (* 17/9 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/9 (* 248/135 (pow x 2)))))))
1/2
(+ 1/2 (* 4/3 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 4/3 (* 17/9 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/9 (* 248/135 (pow x 2)))))))
(* eps x)
(* x (+ eps x))
(* x (+ eps (* x (+ 1 (* x (+ eps (* 1/3 eps)))))))
(* x (+ eps (* x (+ 1 (* x (+ eps (+ (* 1/3 eps) (* 2/3 x))))))))
(/ (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)))
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 (PI)) (cos (PI)))
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(* 1/3 (pow eps 2))
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2/3
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(PI)
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x
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(* -1 (* x (- (* -1 (/ (PI) x)) 1)))
(/ (pow (sin (- (PI) (* -1 x))) 4) (pow (cos (- (PI) (* -1 x))) 4))
(+ (/ (sin x) (cos x)) (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))))
(+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (pow x 2)))
(* 1/2 (/ (* eps (* (cos x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3)))))) (sin x)))
(* eps (+ (* 1/2 (/ (* (cos x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (sin x))) (* eps (- (* 1/2 (/ (* (cos x) (- (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))))) (sin x))) (* 1/4 (/ (* (pow (cos x) 2) (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3)))))) (pow (sin x) 2)))))))
(* eps (+ (* 1/2 (/ (* (cos x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (sin x))) (* eps (- (+ (* 1/2 (/ (* (cos x) (- (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))))) (sin x))) (* eps (- (* 1/2 (/ (* (cos x) (- (+ (* -1 (/ (sin x) (cos x))) (* -1/3 (/ (sin x) (cos x)))) (+ (* -2 (/ (* (sin x) (- (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))))) (cos x))) (+ (/ (* (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow (cos x) 2)) (/ (* (pow (sin x) 2) (+ (* 1/3 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (cos x) 4)))))) (sin x))) (+ (* 1/4 (/ (* (cos x) (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3)))))) (sin x))) (* 1/2 (/ (* (cos x) (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* 1/2 (/ (* (cos x) (- (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))))) (sin x))) (* 1/4 (/ (* (pow (cos x) 2) (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3)))))) (pow (sin x) 2)))))) (sin x))))))) (* 1/4 (/ (* (pow (cos x) 2) (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3)))))) (pow (sin x) 2)))))))
(* eps (+ (* 1/2 (/ (* (cos x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (sin x))) (* eps (- (+ (* 1/2 (/ (* (cos x) (- (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))))) (sin x))) (* eps (- (+ (* 1/2 (/ (* (cos x) (- (+ (* -1 (/ (sin x) (cos x))) (* -1/3 (/ (sin x) (cos x)))) (+ (* -2 (/ (* (sin x) (- (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))))) (cos x))) (+ (/ (* (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow (cos x) 2)) (/ (* (pow (sin x) 2) (+ (* 1/3 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (cos x) 4)))))) (sin x))) (* eps (- (* 1/2 (/ (* (cos x) (- (+ (* 1/12 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/4 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (+ (* -2 (/ (* (sin x) (- (+ (* -1 (/ (sin x) (cos x))) (* -1/3 (/ (sin x) (cos x)))) (+ (* -2 (/ (* (sin x) (- (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))))) (cos x))) (+ (/ (* (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow (cos x) 2)) (/ (* (pow (sin x) 2) (+ (* 1/3 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (cos x) 4)))))) (cos x))) (+ (/ (* (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (- (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))))) (pow (cos x) 2)) (+ (/ (* (+ (* 1/3 (* (cos x) (sin x))) (* (cos x) (sin x))) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow (cos x) 2)) (/ (* (pow (sin x) 2) (+ (* -1/3 (pow (sin x) 2)) (+ (* 1/12 (pow (cos x) 2)) (* 1/4 (pow (cos x) 2))))) (pow (cos x) 4)))))))) (sin x))) (+ (* -1/4 (/ (* (pow (cos x) 2) (* (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3)))))) (pow (sin x) 2))) (+ (* 1/2 (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* 1/2 (/ (* (cos x) (- (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))))) (sin x))) (* 1/4 (/ (* (pow (cos x) 2) (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3)))))) (pow (sin x) 2)))))) (* 1/2 (/ (* (cos x) (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* 1/2 (/ (* (cos x) (- (+ (* -1 (/ (sin x) (cos x))) (* -1/3 (/ (sin x) (cos x)))) (+ (* -2 (/ (* (sin x) (- (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))))) (cos x))) (+ (/ (* (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow (cos x) 2)) (/ (* (pow (sin x) 2) (+ (* 1/3 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (cos x) 4)))))) (sin x))) (+ (* 1/4 (/ (* (cos x) (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3)))))) (sin x))) (* 1/2 (/ (* (cos x) (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* 1/2 (/ (* (cos x) (- (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))))) (sin x))) (* 1/4 (/ (* (pow (cos x) 2) (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3)))))) (pow (sin x) 2)))))) (sin x))))))) (sin x)))))))) (+ (* 1/4 (/ (* (cos x) (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3)))))) (sin x))) (* 1/2 (/ (* (cos x) (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* 1/2 (/ (* (cos x) (- (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))))) (sin x))) (* 1/4 (/ (* (pow (cos x) 2) (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3)))))) (pow (sin x) 2)))))) (sin x))))))) (* 1/4 (/ (* (pow (cos x) 2) (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3)))))) (pow (sin x) 2)))))))
(* eps (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3)))))
(* eps (- (+ (* 2 (/ (sin x) (cos x))) (* eps (- (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4)))))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3)))))
(* eps (- (+ (* 2 (/ (sin x) (cos x))) (* eps (- (+ 1 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (- (+ (* -1 (/ (sin x) (cos x))) (* -1/3 (/ (sin x) (cos x)))) (+ (* -2 (/ (* (sin x) (- (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))))) (cos x))) (+ (/ (* (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow (cos x) 2)) (/ (* (pow (sin x) 2) (+ (* 1/3 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (cos x) 4)))))))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4)))))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3)))))
(* eps (- (+ (* 2 (/ (sin x) (cos x))) (* eps (- (+ 1 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (- (+ (* -1 (/ (sin x) (cos x))) (+ (* -1/3 (/ (sin x) (cos x))) (* eps (- (+ (* 1/12 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/4 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (+ (* -2 (/ (* (sin x) (- (+ (* -1 (/ (sin x) (cos x))) (* -1/3 (/ (sin x) (cos x)))) (+ (* -2 (/ (* (sin x) (- (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))))) (cos x))) (+ (/ (* (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow (cos x) 2)) (/ (* (pow (sin x) 2) (+ (* 1/3 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (cos x) 4)))))) (cos x))) (+ (/ (* (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (- (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))))) (pow (cos x) 2)) (+ (/ (* (+ (* 1/3 (* (cos x) (sin x))) (* (cos x) (sin x))) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow (cos x) 2)) (/ (* (pow (sin x) 2) (+ (* -1/3 (pow (sin x) 2)) (+ (* 1/12 (pow (cos x) 2)) (* 1/4 (pow (cos x) 2))))) (pow (cos x) 4)))))))))) (+ (* -2 (/ (* (sin x) (- (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))))) (cos x))) (+ (/ (* (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow (cos x) 2)) (/ (* (pow (sin x) 2) (+ (* 1/3 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (cos x) 4)))))))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4)))))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3)))))
(+ (* eps (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* eps (- (+ (* 2 (/ (sin x) (cos x))) (* eps (- (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4)))))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* eps (- (+ (* 2 (/ (sin x) (cos x))) (* eps (- (+ 1 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (- (+ (* -1 (/ (sin x) (cos x))) (* -1/3 (/ (sin x) (cos x)))) (+ (* -2 (/ (* (sin x) (- (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))))) (cos x))) (+ (/ (* (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow (cos x) 2)) (/ (* (pow (sin x) 2) (+ (* 1/3 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (cos x) 4)))))))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4)))))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(pow (sin x) 2)
(+ (* 2 (* eps (* (cos x) (sin x)))) (pow (sin x) 2))
(+ (* eps (+ (* 2 (* (cos x) (sin x))) (* eps (+ (* -1 (pow (sin x) 2)) (pow (cos x) 2))))) (pow (sin x) 2))
(+ (* eps (+ (* 2 (* (cos x) (sin x))) (* eps (+ (* -1 (pow (sin x) 2)) (+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/3 (* (cos x) (sin x))))) (pow (cos x) 2)))))) (pow (sin x) 2))
(+ (* eps (+ (* eps (- 1/3 (+ (* -1/3 (/ (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) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(* 2 (/ (sin x) (cos x)))
(+ (* 2 (/ (sin x) (cos x))) (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(+ (* 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))))))
(+ (* 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))))))
(/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
(* eps (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))
(* (pow eps 2) (- 1/3 (+ (* -1/3 (/ (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)))))
(* (pow eps 2) (- (+ 1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x)))) (+ (* -1/3 (/ (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)))))
(* (pow eps 2) (- (+ 1/3 (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x))) (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))))) (+ (* -1/3 (/ (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 (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))
(* -1 (* eps (+ (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x)))))
(- (/ (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 (* eps (- (* -1 (pow x 2)) 1)))
(/ (- (/ (pow (sin (- x (* -1 eps))) 2) (pow (cos (- x (* -1 eps))) 2)) (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (sin x) (cos x)) (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))))
(- (/ (pow (sin (- x (* -1 eps))) 2) (pow (cos (- x (* -1 eps))) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(/ (pow (sin (- x (* -1 eps))) 2) (pow (cos (- x (* -1 eps))) 2))
(pow (sin (- x (* -1 eps))) 2)
(* (pow eps 2) (- (+ 1/3 (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (* eps (cos x))))) (+ (* -1/3 (/ (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)))))
(* (pow eps 2) (- (+ 1/3 (* -1 (/ (+ (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x))) eps))) (+ (* -1/3 (/ (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) (cos x)) (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* -4/3 (pow x 2)) 1/2)
(-.f64 (.f64 (.f64 x x) #s(literal -4/3 binary64)) #s(literal 1/2 binary64))
(- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/2)
(-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -17/9 binary64) (.f64 x x)) #s(literal 4/3 binary64)) x) x) #s(literal 1/2 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/2)
(-.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 1/2 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 4/3 (pow x 2)))
(fma.f64 #s(literal 4/3 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 4/3 (* 17/9 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 17/9 binary64) (.f64 x x) #s(literal 4/3 binary64)) (.f64 x x) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/9 (* 248/135 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 248/135 binary64) (.f64 x x) #s(literal 17/9 binary64)) (.f64 x x) #s(literal 4/3 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 4/3 (pow x 2)))
(fma.f64 #s(literal 4/3 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 4/3 (* 17/9 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 17/9 binary64) (.f64 x x) #s(literal 4/3 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/9 (* 248/135 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 248/135 binary64) (.f64 x x) #s(literal 17/9 binary64)) (.f64 x x) #s(literal 4/3 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(* eps x)
(*.f64 eps x)
(* x (+ eps x))
(*.f64 (+.f64 eps x) x)
(* x (+ eps (* x (+ 1 (* x (+ eps (* 1/3 eps)))))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) eps) x #s(literal 1 binary64)) x eps) x)
(* x (+ eps (* x (+ 1 (* x (+ eps (+ (* 1/3 eps) (* 2/3 x))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) x (.f64 #s(literal 4/3 binary64) eps)) x #s(literal 1 binary64)) x eps) x)
(/ (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 (- (/ (* 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 x (sin.f64 eps)) (/.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)))) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(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 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps)) (cos.f64 eps))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
eps
(+ eps (* eps (pow x 2)))
(fma.f64 (*.f64 eps x) x 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 (*.f64 #s(literal 2/3 binary64) 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 (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)
(* -1 (* eps (- (/ (pow (sin (PI)) 4) (pow (cos (PI)) 4)) 1)))
eps
(+ (* -4 (/ (* eps (* x (* (pow (sin (PI)) 3) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))))) (pow (cos (PI)) 3))) (* -1 (* eps (- (/ (pow (sin (PI)) 4) (pow (cos (PI)) 4)) 1))))
eps
(+ (* -1 (* eps (- (/ (pow (sin (PI)) 4) (pow (cos (PI)) 4)) 1))) (* x (+ (* -4 (/ (* eps (* (pow (sin (PI)) 3) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 3))) (* x (- (* -1 (* eps (+ (* 2 (/ (* (pow (sin (PI)) 2) (+ (* 2 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2))) (pow (cos (PI)) 2))) (* 4 (/ (* (pow (sin (PI)) 2) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (pow (cos (PI)) 2)))))) (* eps (- (/ (pow (sin (PI)) 4) (pow (cos (PI)) 4)) 1)))))))
(fma.f64 (*.f64 eps x) x eps)
(+ (* -1 (* eps (- (/ (pow (sin (PI)) 4) (pow (cos (PI)) 4)) 1))) (* x (+ (* -4 (/ (* eps (* (pow (sin (PI)) 3) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 3))) (* x (- (+ (* -1 (* eps (+ (* 2 (/ (* (pow (sin (PI)) 2) (+ (* 2 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2))) (pow (cos (PI)) 2))) (* 4 (/ (* (pow (sin (PI)) 2) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (pow (cos (PI)) 2)))))) (* x (- (* -1 (* eps (+ (* 2 (/ (* (pow (sin (PI)) 2) (+ (* -2 (/ (* (sin (PI)) (+ 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))))))) (cos (PI)))) (* 2 (/ (* (sin (PI)) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (cos (PI)))))) (pow (cos (PI)) 2))) (* 4 (/ (* (sin (PI)) (* (+ (* 2 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (cos (PI))))))) (* 4 (/ (* eps (* (pow (sin (PI)) 3) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 3)))))) (* eps (- (/ (pow (sin (PI)) 4) (pow (cos (PI)) 4)) 1)))))))
(fma.f64 (*.f64 eps x) x eps)
(* eps (- (/ (pow (sin (PI)) 4) (pow (cos (PI)) 4)) 1))
(neg.f64 eps)
(+ (* 4 (/ (* eps (* x (* (pow (sin (PI)) 3) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))))) (pow (cos (PI)) 3))) (* eps (- (/ (pow (sin (PI)) 4) (pow (cos (PI)) 4)) 1)))
(-.f64 #s(literal 0 binary64) eps)
(+ (* eps (- (/ (pow (sin (PI)) 4) (pow (cos (PI)) 4)) 1)) (* x (+ (* 4 (/ (* eps (* (pow (sin (PI)) 3) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 3))) (* eps (* x (+ (* 2 (/ (* (pow (sin (PI)) 2) (+ (* 2 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2))) (pow (cos (PI)) 2))) (* 4 (/ (* (pow (sin (PI)) 2) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (pow (cos (PI)) 2)))))))))
(-.f64 #s(literal 0 binary64) eps)
(+ (* eps (- (/ (pow (sin (PI)) 4) (pow (cos (PI)) 4)) 1)) (* x (+ (* 4 (/ (* eps (* (pow (sin (PI)) 3) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 3))) (* x (+ (* eps (* x (+ (* 2 (/ (* (pow (sin (PI)) 2) (+ (* -2 (/ (* (sin (PI)) (+ 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))))))) (cos (PI)))) (* 2 (/ (* (sin (PI)) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (cos (PI)))))) (pow (cos (PI)) 2))) (* 4 (/ (* (sin (PI)) (* (+ (* 2 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (cos (PI))))))) (* eps (+ (* 2 (/ (* (pow (sin (PI)) 2) (+ (* 2 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2))) (pow (cos (PI)) 2))) (* 4 (/ (* (pow (sin (PI)) 2) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (pow (cos (PI)) 2))))))))))
(-.f64 #s(literal 0 binary64) eps)
(+ (* x (- (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (cos eps) (- (* 2 (/ (sin eps) (cos eps))) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (sin eps))) 2)) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (cos.f64 eps) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)))) (sin.f64 eps)) (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 2 binary64))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* x (- (/ (* (cos eps) (- (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -2 (/ (* (sin eps) (- (* 2 (/ (sin eps) (cos eps))) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps))) (/ (* (pow (sin eps) 2) (+ (* -1 (pow (cos eps) 2)) (pow (sin eps) 2))) (pow (cos eps) 4))))) (sin eps)) (+ (/ (* (cos eps) (* (- 2 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (- (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (cos eps) (- (* 2 (/ (sin eps) (cos eps))) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (sin eps))) 2))) (sin eps)) (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (/ (* (cos eps) (- (* 2 (/ (sin eps) (cos eps))) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (sin eps)))) 2)) (/ (sin eps) (cos eps)))
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x
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(/ (- (/ (pow (sin (- eps (* -1 x))) 2) (pow (cos (- eps (* -1 x))) 2)) (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (sin x) (cos x)) (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))))
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(- (/ (pow (sin (- eps (* -1 x))) 2) (pow (cos (- eps (* -1 x))) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))
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(/ (pow (sin (- eps (* -1 x))) 2) (pow (cos (- eps (* -1 x))) 2))
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(pow (sin (- eps (* -1 x))) 2)
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(* -1 (* x (- (* -1 (/ (PI) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (PI.f64)) x) #s(literal 1 binary64)))
(/ (pow (sin (- (PI) (* -1 x))) 4) (pow (cos (- (PI) (* -1 x))) 4))
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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 (/ (pow (sin x) 2) (pow (cos x) 2))))
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(* eps (+ 1 (pow x 2)))
(fma.f64 (*.f64 eps x) x eps)
(* 1/2 (/ (* eps (* (cos x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3)))))) (sin x)))
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(* eps (+ (* 1/2 (/ (* (cos x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (sin x))) (* eps (- (* 1/2 (/ (* (cos x) (- (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))))) (sin x))) (* 1/4 (/ (* (pow (cos x) 2) (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3)))))) (pow (sin x) 2)))))))
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(* eps (+ (* 1/2 (/ (* (cos x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (sin x))) (* eps (- (+ (* 1/2 (/ (* (cos x) (- (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))))) (sin x))) (* eps (- (* 1/2 (/ (* (cos x) (- (+ (* -1 (/ (sin x) (cos x))) (* -1/3 (/ (sin x) (cos x)))) (+ (* -2 (/ (* (sin x) (- (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))))) (cos x))) (+ (/ (* (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow (cos x) 2)) (/ (* (pow (sin x) 2) (+ (* 1/3 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (cos x) 4)))))) (sin x))) (+ (* 1/4 (/ (* (cos x) (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3)))))) (sin x))) (* 1/2 (/ (* (cos x) (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* 1/2 (/ (* (cos x) (- (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))))) (sin x))) (* 1/4 (/ (* (pow (cos x) 2) (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3)))))) (pow (sin x) 2)))))) (sin x))))))) (* 1/4 (/ (* (pow (cos x) 2) (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3)))))) (pow (sin x) 2)))))))
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(* eps (- (+ (* 2 (/ (sin x) (cos x))) (* eps (- (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4)))))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3)))))
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(* eps (- (+ (* 2 (/ (sin x) (cos x))) (* eps (- (+ 1 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (- (+ (* -1 (/ (sin x) (cos x))) (* -1/3 (/ (sin x) (cos x)))) (+ (* -2 (/ (* (sin x) (- (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))))) (cos x))) (+ (/ (* (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow (cos x) 2)) (/ (* (pow (sin x) 2) (+ (* 1/3 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (cos x) 4)))))))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4)))))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3)))))
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(* eps (- (+ (* 2 (/ (sin x) (cos x))) (* eps (- (+ 1 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (- (+ (* -1 (/ (sin x) (cos x))) (+ (* -1/3 (/ (sin x) (cos x))) (* eps (- (+ (* 1/12 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/4 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (+ (* -2 (/ (* (sin x) (- (+ (* -1 (/ (sin x) (cos x))) (* -1/3 (/ (sin x) (cos x)))) (+ (* -2 (/ (* (sin x) (- (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))))) (cos x))) (+ (/ (* (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow (cos x) 2)) (/ (* (pow (sin x) 2) (+ (* 1/3 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (cos x) 4)))))) (cos x))) (+ (/ (* (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (- (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))))) (pow (cos x) 2)) (+ (/ (* (+ (* 1/3 (* (cos x) (sin x))) (* (cos x) (sin x))) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow (cos x) 2)) (/ (* (pow (sin x) 2) (+ (* -1/3 (pow (sin x) 2)) (+ (* 1/12 (pow (cos x) 2)) (* 1/4 (pow (cos x) 2))))) (pow (cos x) 4)))))))))) (+ (* -2 (/ (* (sin x) (- (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))))) (cos x))) (+ (/ (* (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow (cos x) 2)) (/ (* (pow (sin x) 2) (+ (* 1/3 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (cos x) 4)))))))) (+ (* -2 (/ (* (sin x) (- (* 2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (cos x))) (/ (* (pow (sin x) 2) (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4)))))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3)))))
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(pow (sin x) 2)
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(* 2 (/ (sin x) (cos x)))
(/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 x)) (cos.f64 x))
(+ (* 2 (/ (sin x) (cos x))) (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps))
(+ (* 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))))))
(fma.f64 (fma.f64 (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))) eps eps) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps (/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 x)) (cos.f64 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))))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 eps) (fma.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 1/6 binary64))) (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) (sin.f64 x)) (cos.f64 x))) eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps (/.f64 (.f64 #s(literal 2 binary64) (sin.f64 x)) (cos.f64 x)))
(/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
(*.f64 (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))) eps eps) (cos.f64 x)))
(* eps (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))
(*.f64 (fma.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(* (pow eps 2) (- 1/3 (+ (* -1/3 (/ (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 (-.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 #s(literal -1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 eps eps))
(* (pow eps 2) (- (+ 1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x)))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))))
(.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps) (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 #s(literal -1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 eps eps))
(* (pow eps 2) (- (+ 1/3 (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x))) (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))))) (+ (* -1/3 (/ (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 (-.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps) (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64))) (/.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 #s(literal -1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (.f64 eps eps))
(* -1 (/ (* eps (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))
(.f64 (neg.f64 eps) (.f64 (sin.f64 x) (/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 x))))
(* -1 (* eps (+ (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x)))))
(*.f64 (neg.f64 eps) (fma.f64 (sin.f64 x) (/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 x)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(- (/ (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 (* eps (- (* -1 (pow x 2)) 1)))
(.f64 (neg.f64 eps) (-.f64 (.f64 (neg.f64 x) x) #s(literal 1 binary64)))
(/ (- (/ (pow (sin (- x (* -1 eps))) 2) (pow (cos (- x (* -1 eps))) 2)) (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (sin x) (cos x)) (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))))
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))))
(- (/ (pow (sin (- x (* -1 eps))) 2) (pow (cos (- x (* -1 eps))) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/ (pow (sin (- x (* -1 eps))) 2) (pow (cos (- x (* -1 eps))) 2))
(/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))
(pow (sin (- x (* -1 eps))) 2)
(pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64))
(* (pow eps 2) (- (+ 1/3 (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (* eps (cos x))))) (+ (* -1/3 (/ (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 (-.f64 #s(literal 1/3 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps) (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 #s(literal -1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 eps eps))
(* (pow eps 2) (- (+ 1/3 (* -1 (/ (+ (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x))) eps))) (+ (* -1/3 (/ (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 (-.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 x)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps)) (/.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 #s(literal -1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 eps eps))
(+ (/ (sin x) (cos x)) (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))

rewrite222.0ms (1.5%)

Memory

19.4MiB live, 251.7MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	468
0	113	458
1	538	359
2	4487	359
0	8997	354

Stop Event

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

Counts

26 → 447

Calls

Call 1

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

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

eval124.0ms (0.9%)

Memory: -19.6MiB live, 125.5MiB allocated; 17ms collecting garbage
Compiler: Compiled 30 126 to 3 178 computations (89.5% saved)

prune34.0ms (0.2%)

Memory

21.4MiB live, 66.8MiB allocated; 3ms collecting garbage

Pruning

22 alts after pruning (15 fresh and 7 done)

	Pruned	Kept	Total
New	556	10	566
Fresh	11	5	16
Picked	1	4	5
Done	0	3	3
Total	568	22	590

Accuracy

100.0%

Counts

590 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.0%	(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
✓	34.3%	(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))
	63.5%	(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	63.5%	(-.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))
✓	63.5%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	99.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (tan.f64 x) (+.f64 (tan.f64 x) (fma.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps)) (.f64 (.f64 eps eps) (+.f64 (neg.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1/6 binary64)))) eps eps))
	99.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 #s(approx (+ -1/6 (neg (+ (* (+ (* -1 (pow (tan x) 2)) -1) (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/3) -1/2)))) #s(literal 1/3 binary64)) (*.f64 eps eps) (fma.f64 (fma.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps eps))
	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) #s(literal 2 binary64)) eps eps))
✓	99.3%	#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 #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))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (fma.f64 #s(approx (+ ( 17/45 (* x x)) 2/3) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))) eps eps))
	99.0%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (* (+ -1/6 (neg (+ (* (+ (* -1 (pow (tan x) 2)) -1) (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/3) -1/2)))) (* eps eps)) (+ (* (+ (* eps (pow (tan x) 2)) eps) (tan x)) (pow (tan x) 2))) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) (fma.f64 (.f64 #s(literal 4/3 binary64) eps) x #s(literal 1 binary64))) x eps) x (.f64 (.f64 eps eps) #s(literal 1/3 binary64)))) eps eps))
	99.0%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (* (+ -1/6 (neg (+ (* (+ (* -1 (pow (tan x) 2)) -1) (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/3) -1/2)))) (* eps eps)) (+ (* (+ (* eps (pow (tan x) 2)) eps) (tan x)) (pow (tan x) 2))) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) x eps) x (.f64 (*.f64 eps eps) #s(literal 1/3 binary64)))) eps eps))
	98.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (* (+ -1/6 (neg (+ (* (+ (* -1 (pow (tan x) 2)) -1) (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/3) -1/2)))) (* eps eps)) (+ (* (+ (* eps (pow (tan x) 2)) eps) (tan x)) (pow (tan x) 2))) (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) (.f64 eps x))) eps eps))
	98.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (* (+ -1/6 (neg (+ (* (+ (* -1 (pow (tan x) 2)) -1) (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/3) -1/2)))) (* eps eps)) (+ (* (+ (* eps (pow (tan x) 2)) eps) (tan x)) (pow (tan x) 2))) (.f64 (.f64 eps eps) #s(literal 1/3 binary64))) eps eps))
	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (.f64 (-.f64 (pow.f64 (tan.f64 (-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (-.f64 (PI.f64) x)) (/.f64 (*.f64 x x) (-.f64 (PI.f64) x)))) #s(literal 4 binary64)) #s(literal 1 binary64)) eps) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
✓	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 (PI.f64) x)) #s(literal 4 binary64)) #s(literal 1 binary64)) eps) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) eps) (-.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) #s(literal 2 binary64)) #s(literal 1 binary64))))
✓	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) eps) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 x x))) eps))
	98.6%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (* (- (pow (tan (+ (PI) x)) 4) 1) eps) (- (pow (tan x) 2) 1)) eps))
✓	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (fma.f64 (*.f64 eps x) x eps)))

Compiler

Compiled 2 752 to 850 computations (69.1% saved)

regimes49.0ms (0.3%)

Memory

-28.5MiB live, 30.8MiB allocated; 6ms collecting garbage

Counts

51 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

23.0ms	x
12.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
12.0ms	eps

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)

regimes30.0ms (0.2%)

Memory

26.7MiB live, 26.7MiB allocated; 0ms collecting garbage

Counts

40 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

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)

regimes27.0ms (0.2%)

Memory

-9.9MiB live, 36.3MiB allocated; 2ms collecting garbage

Counts

34 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes28.0ms (0.2%)

Memory

-10.6MiB live, 33.6MiB allocated; 5ms collecting garbage

Counts

30 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

12.0ms	x
7.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
7.0ms	eps

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes25.0ms (0.2%)

Memory

-6.2MiB live, 37.2MiB allocated; 4ms collecting garbage

Counts

28 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

10.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
7.0ms	eps
7.0ms	x

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes29.0ms (0.2%)

Memory

-11.1MiB live, 44.0MiB allocated; 15ms collecting garbage

Counts

27 → 1

Calls

Call 1

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

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) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps))

Calls

3 calls:

15.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
6.0ms	eps
6.0ms	x

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes20.0ms (0.1%)

Memory

26.8MiB live, 26.8MiB allocated; 0ms collecting garbage

Counts

25 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes32.0ms (0.2%)

Memory

-25.6MiB live, 20.0MiB allocated; 5ms collecting garbage

Counts

17 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

23.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
4.0ms	x
4.0ms	eps

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes11.0ms (0.1%)

Memory

16.9MiB live, 16.9MiB allocated; 0ms collecting garbage

Counts

13 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

4.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
3.0ms	x
3.0ms	eps

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes10.0ms (0.1%)

Memory

15.0MiB live, 15.0MiB allocated; 0ms collecting garbage

Counts

11 → 1

Calls

Call 1

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes17.0ms (0.1%)

Memory

-33.5MiB live, 12.8MiB allocated; 2ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes3.0ms (0%)

Memory

8.4MiB live, 8.4MiB 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)) #s(approx (/ (* (- (pow (tan (+ (PI) x)) 4) 1) eps) (- (pow (tan x) 2) 1)) eps))

Outputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (* (- (pow (tan (+ (PI) x)) 4) 1) eps) (- (pow (tan x) 2) 1)) eps))

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify49.0ms (0.3%)

Memory

24.7MiB live, 69.9MiB allocated; 4ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	143	511
1	228	494
2	520	477
3	2092	475

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations1.3s (9%)

Memory

-24.3MiB live, 648.1MiB allocated; 49ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	624	6315
1	2081	5974
0	8381	5707
0	56	394
0	99	366
1	426	289
2	3330	289
0	8196	278
0	65	468
0	113	458
1	538	359
2	4487	359
0	8997	354
0	904	9672
1	2944	9087
0	8835	8592
0	775	7226
1	2786	6829
0	8652	6563
0	157	970
1	488	910
2	1845	849
0	8454	797
0	52	349
0	97	333
1	460	287
2	3962	287
0	8213	276

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

Compiler

Compiled 514 to 150 computations (70.8% saved)

preprocess116.0ms (0.8%)

Memory: 30.7MiB live, 75.6MiB allocated; 5ms collecting garbage
Compiler: Compiled 1 060 to 324 computations (69.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze93.0ms (0.6%)

sample7.0s (48.5%)

explain147.0ms (1%)

preprocess284.0ms (2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify218.0ms (1.5%)

localize33.0ms (0.2%)

series12.0ms (0.1%)

simplify159.0ms (1.1%)

rewrite434.0ms (3%)

eval57.0ms (0.4%)

prune13.0ms (0.1%)

simplify199.0ms (1.4%)

localize649.0ms (4.5%)

series119.0ms (0.8%)

simplify193.0ms (1.3%)

rewrite190.0ms (1.3%)

eval246.0ms (1.7%)

prune39.0ms (0.3%)

simplify159.0ms (1.1%)

localize258.0ms (1.8%)

series84.0ms (0.6%)

simplify218.0ms (1.5%)

rewrite219.0ms (1.5%)

eval170.0ms (1.2%)

prune36.0ms (0.3%)

simplify185.0ms (1.3%)

localize583.0ms (4%)

series89.0ms (0.6%)

simplify205.0ms (1.4%)

rewrite222.0ms (1.5%)

eval124.0ms (0.9%)

prune34.0ms (0.2%)

regimes49.0ms (0.3%)

regimes30.0ms (0.2%)

regimes27.0ms (0.2%)

regimes28.0ms (0.2%)

regimes25.0ms (0.2%)

regimes29.0ms (0.2%)

regimes20.0ms (0.1%)

regimes32.0ms (0.2%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

regimes17.0ms (0.1%)

regimes3.0ms (0%)

simplify49.0ms (0.3%)

derivations1.3s (9%)

preprocess116.0ms (0.8%)

end0.0ms (0%)

Profiling