Metrics for 2tan (problem 3.3.2)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze51.0ms (0.3%)

Memory

-17.0MiB live, 73.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample7.1s (48.3%)

Memory

177.6MiB live, 7 561.7MiB allocated

Samples

3.3s	26 158×	0	invalid
636.0ms	5 492×	0	valid
512.0ms	2 764×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 3.1s

const: 659.0ms (21% of total)

ival-tan: 605.0ms (19.3% of total)

ival-add: 326.0ms (10.4% of total)

ival-mult: 304.0ms (9.7% of total)

ival-fabs: 296.0ms (9.5% of total)

ival-sub: 262.0ms (8.4% of total)

ival-<=: 237.0ms (7.6% of total)

ival-<: 169.0ms (5.4% of total)

ival-and: 113.0ms (3.6% of total)

adjust: 102.0ms (3.3% of total)

exact: 45.0ms (1.4% of total)

ival-assert: 14.0ms (0.4% of total)

Bogosity

explain175.0ms (1.2%)

Memory

-18.7MiB live, 123.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
216	2	(3.9623101405596605e-14 2.381082427109811e-16)	3	(-4.245537707451789e-212 5.385447906051911e-214)	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
1	0	-	0	-	`(tan.f64 (+.f64 x eps))`
0	0	-	0	-	`eps`
0	0	-	0	-	`(+.f64 x eps)`
0	0	-	0	-	`(tan.f64 x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`	cancellation	215	6
`tan.f64`	`(tan.f64 (+.f64 x eps))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	213	4
-	2	37

Precision

0.9906976744186047

Recall

0.9815668202764977

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	213	3	1
-	2	3	34

Precision?

0.9773755656108597

Recall?

0.9953917050691244

Freqs

test

number	freq
0	41
1	214
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

49.0ms	6×	3	valid
17.0ms	354×	0	valid
16.0ms	150×	1	valid
0.0ms	2×	2	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-tan: 57.0ms (84.4% of total)

adjust: 4.0ms (5.9% of total)

ival-add: 3.0ms (4.4% of total)

ival-sub: 3.0ms (4.4% of total)

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

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

preprocess299.0ms (2%)

Memory

19.1MiB live, 309.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.3%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify198.0ms (1.3%)

Memory

16.0MiB live, 152.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	16	18
2	25	18
3	41	18
4	66	18
5	117	18
6	211	18
7	474	18
8	1311	18
9	2274	18
10	3303	18
11	3588	18
12	3771	18
13	3850	18
14	3868	18
15	3874	18
16	3880	18
17	3886	18
18	3892	18
19	3898	18
20	3904	18
21	3910	18
22	3916	18
23	3922	18
24	3928	18
25	7779	18
0	8041	18

Stop Event

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

Calls

Call 1

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

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

localize52.0ms (0.4%)

Memory

-24.6MiB live, 74.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x eps)
accuracy	0.0	(tan.f64 x)
accuracy	0.06951260924229953	(tan.f64 (+.f64 x eps))
accuracy	22.796960196730993	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Samples

12.0ms	177×	0	valid
11.0ms	75×	1	valid
10.0ms	3×	3	valid
0.0ms	1×	2	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-tan: 16.0ms (73.8% of total)

adjust: 2.0ms (9.2% of total)

ival-add: 2.0ms (9.2% of total)

ival-sub: 2.0ms (9.2% of total)

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

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

series11.0ms (0.1%)

Memory

18.3MiB live, 18.3MiB allocated

Counts

4 → 31

Calls

Call 1

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

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

Calls

6 calls:

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

simplify137.0ms (0.9%)

Memory

-16.8MiB live, 214.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

31 → 29

Calls

Call 1

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

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

rewrite186.0ms (1.3%)

Memory

44.7MiB live, 229.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 158

Calls

Call 1

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

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

eval593.0ms (4%)

Memory: -364.6MiB live, 103.6MiB allocated
Compiler: Compiled 5 935 to 840 computations (85.8% saved)

prune9.0ms (0.1%)

Memory

17.5MiB live, 17.5MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	173	10	183
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	173	11	184

Accuracy

100.0%

Counts

184 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.4%	(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (sin.f64 x))) (*.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
	64.4%	(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x))
▶	64.4%	(-.f64 (.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 2 binary64)))) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal 1 binary64))) (tan.f64 x))
	36.8%	(-.f64 (tan.f64 (-.f64 (/.f64 (.f64 eps eps) (-.f64 eps x)) (/.f64 (.f64 x x) (-.f64 eps x)))) (tan.f64 x))
▶	3.7%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
▶	6.5%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
✓	64.3%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.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))
	99.8%	#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))
▶	99.6%	#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))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))

Compiler

Compiled 533 to 292 computations (45.2% saved)

simplify182.0ms (1.2%)

Memory

-2.3MiB live, 136.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 (tan.f64 eps) (tan.f64 x))
cost-diff	0	(/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 2 binary64))))
cost-diff	0	(.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 2 binary64)))) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal 1 binary64)))
cost-diff	0	(-.f64 (.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 2 binary64)))) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal 1 binary64))) (tan.f64 x))
cost-diff	0	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
cost-diff	0	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
cost-diff	0	(fma.f64 (/.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	(tan.f64 (+.f64 x eps))
cost-diff	0	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
cost-diff	1	(+.f64 (+.f64 (PI.f64) x) (PI.f64))
cost-diff	3	(tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))
cost-diff	0	(+.f64 (PI.f64) x)
cost-diff	0	(+.f64 (+.f64 (PI.f64) x) eps)
cost-diff	0	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
cost-diff	2	(tan.f64 (+.f64 (+.f64 (PI.f64) x) eps))
cost-diff	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	55	773
0	105	769
1	188	729
2	518	703
3	2427	630
0	9026	628

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

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

localize466.0ms (3.2%)

Memory

10.8MiB live, 424.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(*.f64 (tan.f64 eps) (tan.f64 x))
accuracy	0.0234375	(+.f64 (tan.f64 eps) (tan.f64 x))
accuracy	0.1328125	(pow.f64 (*.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 2 binary64))
accuracy	22.796960196730993	(-.f64 (.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 2 binary64)))) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal 1 binary64))) (tan.f64 x))
accuracy	0.00390625	(pow.f64 (cos.f64 x) #s(literal 2 binary64))
accuracy	0.015625	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
accuracy	0.0234375	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
accuracy	0.25555438376874295	#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	0.01953125	(+.f64 (+.f64 (PI.f64) x) (PI.f64))
accuracy	0.06951260924229953	(tan.f64 (+.f64 x eps))
accuracy	22.796960196730993	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
accuracy	59.85445072883139	(tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))
accuracy	0.00390625	(+.f64 (+.f64 (PI.f64) x) eps)
accuracy	0.01171875	(+.f64 (PI.f64) x)
accuracy	22.796960196730993	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
accuracy	59.7829174341275	(tan.f64 (+.f64 (+.f64 (PI.f64) x) eps))
accuracy	0.1640625	(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	0.19140625	(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))
accuracy	0.39453125	(.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	0.994472509768442	(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

358.0ms	248×	1	valid
44.0ms	4×	3	valid
6.0ms	2×	2	valid
1.0ms	2×	0	valid

Compiler

Compiled 731 to 61 computations (91.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 363.0ms

ival-tan: 189.0ms (52.1% of total)

adjust: 37.0ms (10.2% of total)

ival-add: 37.0ms (10.2% of total)

ival-mult: 37.0ms (10.2% of total)

ival-div: 20.0ms (5.5% of total)

ival-pow2: 14.0ms (3.9% of total)

ival-sub: 12.0ms (3.3% of total)

const: 7.0ms (1.9% of total)

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

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

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

exact: 1.0ms (0.3% of total)

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

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

series78.0ms (0.5%)

Memory

34.0MiB live, 78.4MiB allocated

Counts

25 → 168

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

Calls

6 calls:

Time	Variable		Point	Expression
21.0ms	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) eps)) (- (tan (+ (+ (PI) x) eps)) (tan x)) (+ (+ (PI) x) eps) (+ (PI) x) (tan (+ (+ (PI) x) (PI))) (+ (+ (PI) x) (PI)) (- (tan (+ x eps)) (tan (+ (+ (PI) x) (PI)))) (tan (+ x eps)) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (pow (sin x) 2) (- (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (tan x)) (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (tan eps) (tan x)) (* (+ (* (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) (* (pow (sin x) 2) 1/6) (pow (cos x) 2) (pow (* (tan eps) (tan x)) 2) (* (tan eps) (tan x)))
14.0ms	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) eps)) (- (tan (+ (+ (PI) x) eps)) (tan x)) (+ (+ (PI) x) eps) (+ (PI) x) (tan (+ (+ (PI) x) (PI))) (+ (+ (PI) x) (PI)) (- (tan (+ x eps)) (tan (+ (+ (PI) x) (PI)))) (tan (+ x eps)) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (pow (sin x) 2) (- (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (tan x)) (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (tan eps) (tan x)) (* (+ (* (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) (* (pow (sin x) 2) 1/6) (pow (cos x) 2) (pow (* (tan eps) (tan x)) 2) (* (tan eps) (tan x)))
11.0ms	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) eps)) (- (tan (+ (+ (PI) x) eps)) (tan x)) (+ (+ (PI) x) eps) (+ (PI) x) (tan (+ (+ (PI) x) (PI))) (+ (+ (PI) x) (PI)) (- (tan (+ x eps)) (tan (+ (+ (PI) x) (PI)))) (tan (+ x eps)) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (pow (sin x) 2) (- (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (tan x)) (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (tan eps) (tan x)) (* (+ (* (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) (* (pow (sin x) 2) 1/6) (pow (cos x) 2) (pow (* (tan eps) (tan x)) 2) (* (tan eps) (tan x)))
10.0ms	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) eps)) (- (tan (+ (+ (PI) x) eps)) (tan x)) (+ (+ (PI) x) eps) (+ (PI) x) (tan (+ (+ (PI) x) (PI))) (+ (+ (PI) x) (PI)) (- (tan (+ x eps)) (tan (+ (+ (PI) x) (PI)))) (tan (+ x eps)) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (pow (sin x) 2) (- (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (tan x)) (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (tan eps) (tan x)) (* (+ (* (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) (* (pow (sin x) 2) 1/6) (pow (cos x) 2) (pow (* (tan eps) (tan x)) 2) (* (tan eps) (tan x)))
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) eps)) (- (tan (+ (+ (PI) x) eps)) (tan x)) (+ (+ (PI) x) eps) (+ (PI) x) (tan (+ (+ (PI) x) (PI))) (+ (+ (PI) x) (PI)) (- (tan (+ x eps)) (tan (+ (+ (PI) x) (PI)))) (tan (+ x eps)) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (pow (sin x) 2) (- (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (tan x)) (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (tan eps) (tan x)) (* (+ (* (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) (* (pow (sin x) 2) 1/6) (pow (cos x) 2) (pow (* (tan eps) (tan x)) 2) (* (tan eps) (tan x)))

simplify169.0ms (1.2%)

Memory

-4.4MiB live, 134.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	748	4958
1	2334	4561
0	8810	4332

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 166

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

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))
(* -5/6 (pow x 2))
(.f64 #s(literal -5/6 binary64) (.f64 x x))
(* (pow x 2) (- (* -13/18 (pow x 2)) 5/6))
(.f64 (.f64 (-.f64 (.f64 #s(literal -13/18 binary64) (.f64 x x)) #s(literal 5/6 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (- (* -10/27 (pow x 2)) 13/18)) 5/6))
(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -10/27 binary64) (.f64 x x)) #s(literal 13/18 binary64)) x) x) #s(literal 5/6 binary64)) (.f64 x x))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -373/1890 (pow x 2)) 10/27)) 13/18)) 5/6))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -373/1890 binary64) (.f64 x x)) #s(literal 10/27 binary64)) x) x) #s(literal 13/18 binary64)) (.f64 x x)) #s(literal 5/6 binary64)) (.f64 x x))
1/3
#s(literal 1/3 binary64)
(+ 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
#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)
(-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -17/45 binary64) (.f64 x x)) #s(literal 2/3 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x)) #s(literal 1 binary64))
(/ (sin (+ eps (PI))) (cos (+ eps (PI))))
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps)))
(+ (* x (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))
(fma.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) x (/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps))))
(+ (* x (- (+ 1 (/ (* x (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))) (cos (+ eps (PI))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))
(fma.f64 (fma.f64 (neg.f64 (*.f64 (sin.f64 eps) x)) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (neg.f64 (cos.f64 eps))) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64))) x (/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ eps (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (pow (cos (+ eps (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (* 1/6 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))))) (* -1 (/ (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (cos (+ eps (PI)))))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (+.f64 (fma.f64 (+.f64 (/.f64 (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) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) #s(literal 1/6 binary64))) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 eps)) (cos.f64 eps))) x (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64))) x (/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps))))
(+ (/ (sin (+ eps (PI))) (cos (+ eps (PI)))) (/ (* x (pow (sin (+ eps (PI))) 2)) (pow (cos (+ eps (PI))) 2)))
(fma.f64 x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps))))
(+ (* x (- (/ (* x (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))) (cos (+ eps (PI)))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))
(fma.f64 (fma.f64 (neg.f64 (*.f64 (sin.f64 eps) x)) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (neg.f64 (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps))))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin (+ eps (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (pow (cos (+ eps (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (* 1/6 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))))) (* -1 (/ (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (cos (+ eps (PI))))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (+.f64 (fma.f64 (+.f64 (/.f64 (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) (/.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 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 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 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps))))
(+ eps (PI))
(+.f64 (PI.f64) eps)
(+ eps (+ x (PI)))
(+.f64 (+.f64 (PI.f64) x) eps)
(PI)
(PI.f64)
(+ x (PI))
(+.f64 (PI.f64) x)
(/ (sin (* 2 (PI))) (cos (* 2 (PI))))
(/.f64 (neg.f64 (sin.f64 (PI.f64))) (neg.f64 (cos.f64 (PI.f64))))
(+ (* x (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (neg.f64 (sin.f64 (PI.f64))) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cos.f64 (PI.f64))) #s(literal 2 binary64)))) x (/.f64 (neg.f64 (sin.f64 (PI.f64))) (neg.f64 (cos.f64 (PI.f64)))))
(+ (* x (- (+ 1 (/ (* x (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))) (cos (* 2 (PI))))) (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))
(fma.f64 (fma.f64 (*.f64 x (neg.f64 (sin.f64 (PI.f64)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (neg.f64 (sin.f64 (PI.f64))) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cos.f64 (PI.f64))) #s(literal 2 binary64)))) (neg.f64 (cos.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (neg.f64 (sin.f64 (PI.f64))) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cos.f64 (PI.f64))) #s(literal 2 binary64))))) x (/.f64 (neg.f64 (sin.f64 (PI.f64))) (neg.f64 (cos.f64 (PI.f64)))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (* 2 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (pow (cos (* 2 (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (* 1/6 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))))) (* -1 (/ (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (cos (* 2 (PI)))))))) (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (fma.f64 (neg.f64 (pow.f64 (neg.f64 (sin.f64 (PI.f64))) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (neg.f64 (sin.f64 (PI.f64))) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cos.f64 (PI.f64))) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (cos.f64 (PI.f64))) #s(literal 2 binary64))) (+.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (neg.f64 (sin.f64 (PI.f64))) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cos.f64 (PI.f64))) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 (PI.f64))) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cos.f64 (PI.f64))) #s(literal 2 binary64))) #s(literal 1/6 binary64))) #s(literal 1/6 binary64))) (.f64 (neg.f64 (sin.f64 (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (neg.f64 (sin.f64 (PI.f64))) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cos.f64 (PI.f64))) #s(literal 2 binary64)))) (neg.f64 (cos.f64 (PI.f64)))))) x (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (neg.f64 (sin.f64 (PI.f64))) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cos.f64 (PI.f64))) #s(literal 2 binary64))))) x (/.f64 (neg.f64 (sin.f64 (PI.f64))) (neg.f64 (cos.f64 (PI.f64)))))
(* 2 (PI))
(*.f64 (PI.f64) #s(literal 2 binary64))
(+ x (* 2 (PI)))
(fma.f64 (PI.f64) #s(literal 2 binary64) x)
(- (/ (sin eps) (cos eps)) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (neg.f64 (sin.f64 (PI.f64))) (neg.f64 (cos.f64 (PI.f64)))))
(- (+ (* x (- (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))
(fma.f64 (fma.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 (PI.f64))) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cos.f64 (PI.f64))) #s(literal 2 binary64))) #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (neg.f64 (sin.f64 (PI.f64))) (neg.f64 (cos.f64 (PI.f64))))))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))) (* x (- (* -1 (/ (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (cos (* 2 (PI))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (neg.f64 (sin.f64 (PI.f64)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (neg.f64 (sin.f64 (PI.f64))) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cos.f64 (PI.f64))) #s(literal 2 binary64)))) (neg.f64 (cos.f64 (PI.f64)))) (/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 eps)) (cos.f64 eps))) x (fma.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 (PI.f64))) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cos.f64 (PI.f64))) #s(literal 2 binary64))) #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) x (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (neg.f64 (sin.f64 (PI.f64))) (neg.f64 (cos.f64 (PI.f64))))))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))) (* x (- (+ (* -1 (/ (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (cos (* 2 (PI))))) (* x (- (+ (* -1 (/ (* (pow (sin (* 2 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (pow (cos (* 2 (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (* 1/6 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))
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(/ (sin eps) (cos eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
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(+ (/ (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)))
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(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
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eps
(+ eps (* eps (pow x 2)))
(fma.f64 (*.f64 x x) eps eps)
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (* -1/3 eps) (* -1 eps))))))
(fma.f64 (fma.f64 (.f64 eps #s(literal 2/3 binary64)) (.f64 x x) eps) (*.f64 x x) eps)
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (+ (* -1/3 eps) (* (pow x 2) (- (* 2/45 eps) (+ (* -1 (- (* -1/3 eps) (* -1 eps))) (* 1/3 eps))))) (* -1 eps))))))
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(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/315 binary64) (.f64 x x) #s(literal 2/45 binary64)) x) x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))
(+ (* x (+ (* x (- (/ (sin eps) (cos eps)) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
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(+ (* x (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
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(+ x (/ (sin eps) (cos eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x)
(+ (* x (+ 1 (/ (* x (pow (sin eps) 3)) (pow (cos eps) 3)))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 x (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) #s(literal 1 binary64)) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (+ 1 (* x (- (* x (- 1/3 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))))) (/ (sin eps) (cos eps)))
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(+ (* x (+ 1 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(* 1/3 eps)
(*.f64 #s(literal 1/3 binary64) eps)
(+ (* 1/3 eps) (* 4/3 (* eps (pow x 2))))
(fma.f64 (.f64 (.f64 x x) eps) #s(literal 4/3 binary64) (*.f64 #s(literal 1/3 binary64) eps))
(+ (* 1/3 eps) (* (pow x 2) (+ (* 4/3 eps) (* 17/9 (* eps (pow x 2))))))
(fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 17/9 binary64) (.f64 #s(literal 4/3 binary64) eps)) x) x (*.f64 #s(literal 1/3 binary64) eps))
(+ (* 1/3 eps) (* (pow x 2) (+ (* 4/3 eps) (* (pow x 2) (+ (* 248/135 (* eps (pow x 2))) (* 17/9 eps))))))
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(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -1/18 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/135 (pow x 2)) 1/18))))
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(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/135 (* -1/1890 (pow x 2)))) 1/18))))
(.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/1890 binary64) (.f64 x x) #s(literal 1/135 binary64)) x) x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -2/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))
(/ (* (pow x 2) (pow (sin eps) 2)) (pow (cos eps) 2))
(.f64 (.f64 x x) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))
(* (pow x 2) (+ (* 2/3 (/ (* (pow x 2) (pow (sin eps) 2)) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))
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(.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 (*.f64 (sin.f64 x) eps) eps) (sin.f64 x)) (cos.f64 x)) eps)
(* eps (+ (* (pow eps 2) (+ (* 2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x))))
(.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (sin.f64 x) (.f64 #s(literal 2/15 binary64) (.f64 (.f64 (sin.f64 x) eps) eps))) (cos.f64 x)) (*.f64 eps eps) (/.f64 (sin.f64 x) (cos.f64 x))) eps)
(* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 17/315 (/ (* (pow eps 2) (sin x)) (cos x))) (* 2/15 (/ (sin x) (cos x))))))) (/ (sin x) (cos x))))
(.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/15 binary64) (sin.f64 x) (.f64 #s(literal 17/315 binary64) (.f64 (.f64 (sin.f64 x) eps) eps))) (cos.f64 x)) (.f64 eps eps) (/.f64 (.f64 #s(literal 1/3 binary64) (sin.f64 x)) (cos.f64 x))) (*.f64 eps eps) (/.f64 (sin.f64 x) (cos.f64 x))) eps)
(* eps (+ 1 (+ (/ x eps) (/ (PI) eps))))
(fma.f64 (/.f64 (+.f64 (PI.f64) x) eps) eps eps)
(/ (sin (- (+ x (PI)) (* -1 eps))) (cos (- (+ x (PI)) (* -1 eps))))
(/.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (neg.f64 (cos.f64 (+.f64 eps x))))
(- (/ (sin (- (+ x (PI)) (* -1 eps))) (cos (- (+ x (PI)) (* -1 eps)))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (neg.f64 (cos.f64 (+.f64 eps x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(* -1 (* eps (- (* -1 (/ (+ x (PI)) eps)) 1)))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (+.f64 (PI.f64) x) (neg.f64 eps)) #s(literal 1 binary64)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) x)) (cos.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) x))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps 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)))

rewrite201.0ms (1.4%)

Memory

1.7MiB live, 188.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	349
0	91	337
1	425	291
2	3416	286
0	8208	280

Stop Event

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

Counts

25 → 660

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

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

eval240.0ms (1.6%)

Memory: 10.2MiB live, 334.9MiB allocated
Compiler: Compiled 75 438 to 7 414 computations (90.2% saved)

prune32.0ms (0.2%)

Memory

-16.2MiB live, 78.0MiB allocated

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	1 216	13	1 229
Fresh	2	3	5
Picked	4	1	5
Done	0	1	1
Total	1 222	18	1 240

Accuracy

100.0%

Counts

1 240 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.4%	(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (sin.f64 x))) (*.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
	64.4%	(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x))
✓	64.4%	(-.f64 (.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 2 binary64)))) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal 1 binary64))) (tan.f64 x))
	36.8%	(-.f64 (tan.f64 (-.f64 (/.f64 (.f64 eps eps) (-.f64 eps x)) (/.f64 (.f64 x x) (-.f64 eps x)))) (tan.f64 x))
✓	64.3%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	99.8%	#s(approx (- (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (tan x)) (fma.f64 (fma.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps eps))
	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 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (cos.f64 x))) (cos.f64 x))) eps eps))
▶	99.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (*.f64 (+.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 (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))
▶	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (PI.f64) x) (PI.f64)))) (sin.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (PI.f64) x) (PI.f64))))) #s(literal 2 binary64))) eps eps))
	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))))) eps eps))
▶	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (+.f64 (PI.f64) x) (PI.f64))))))) eps eps))
	99.6%	#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 (PI.f64) x))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps))
	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x)) eps eps))
	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
	99.2%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
	99.2%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
▶	99.2%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (*.f64 x x)) eps eps))

Compiler

Compiled 1 196 to 680 computations (43.1% saved)

simplify167.0ms (1.1%)

Memory

41.7MiB live, 185.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 (tan.f64 eps) (tan.f64 x))
cost-diff	0	(*.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x))
cost-diff	2	(-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (sin.f64 x)))
cost-diff	7	(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (sin.f64 x))) (*.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
cost-diff	0	(fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (+.f64 (PI.f64) x) (PI.f64))))))) eps eps)
cost-diff	0	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (+.f64 (PI.f64) x) (PI.f64))))))) eps eps))
cost-diff	1	(+.f64 (+.f64 (PI.f64) x) (PI.f64))
cost-diff	1	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (+.f64 (PI.f64) x) (PI.f64))))))
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 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))
cost-diff	1	(neg.f64 (fma.f64 (fma.f64 (neg.f64 (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	5	(fma.f64 (fma.f64 (neg.f64 (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	67	776
0	122	776
1	232	736
2	645	694
3	2680	684
0	8201	659

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

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

localize309.0ms (2.1%)

Memory

-22.3MiB live, 314.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (sin.f64 x))) (*.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
accuracy	0.0234375	(+.f64 (tan.f64 eps) (tan.f64 x))
accuracy	0.03125	(*.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x))
accuracy	22.79205996266671	(-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (sin.f64 x)))
accuracy	0.01953125	(+.f64 (+.f64 (PI.f64) x) (PI.f64))
accuracy	0.0234375	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
accuracy	0.05086523651630716	(cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
accuracy	0.25555438376874295	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (+.f64 (PI.f64) x) (PI.f64))))))) eps eps))
accuracy	0.0	(tan.f64 x)
accuracy	0.00390625	(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)
accuracy	0.015625	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
accuracy	0.25555438376874295	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (*.f64 x x)) eps eps)
accuracy	0.25555438376874295	#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	0.6937654072714317	#s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (*.f64 x x))
accuracy	0.06269181266573357	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (*.f64 (+.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 (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))
accuracy	0.12625753162065376	(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	0.39453125	(*.f64 (+.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 (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	0.994472509768442	(+.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 (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

98.0ms	175×	0	valid
80.0ms	75×	1	valid
28.0ms	4×	3	valid
4.0ms	2×	2	valid

Compiler

Compiled 708 to 68 computations (90.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 176.0ms

ival-mult: 33.0ms (18.7% of total)

ival-tan: 28.0ms (15.9% of total)

ival-add: 24.0ms (13.6% of total)

ival-pow2: 21.0ms (11.9% of total)

ival-cos: 15.0ms (8.5% of total)

ival-div: 14.0ms (7.9% of total)

adjust: 13.0ms (7.4% of total)

ival-neg: 9.0ms (5.1% of total)

const: 7.0ms (4% of total)

ival-pow: 4.0ms (2.3% of total)

ival-sub: 3.0ms (1.7% of total)

ival-sin: 2.0ms (1.1% of total)

ival-pi: 1.0ms (0.6% of total)

exact: 1.0ms (0.6% of total)

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

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

series65.0ms (0.4%)

Memory

9.8MiB live, 99.6MiB allocated

Counts

25 → 121

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

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)
1/2
(+ 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 (* -1/6 eps)))))))
(* x (+ eps (* x (+ 1 (* x (+ eps (+ (* -1/6 eps) (* 1/6 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))))))))
(+ 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))))))))
(+ 1/2 (* 1/2 (cos (* 4 (PI)))))
(+ 1/2 (+ (* -1 (* x (sin (* 4 (PI))))) (* 1/2 (cos (* 4 (PI))))))
(+ 1/2 (+ (* 1/2 (cos (* 4 (PI)))) (* x (+ (* -1 (sin (* 4 (PI)))) (* -1 (* x (cos (* 4 (PI)))))))))
(+ 1/2 (+ (* 1/2 (cos (* 4 (PI)))) (* x (+ (* -1 (sin (* 4 (PI)))) (* x (+ (* -1 (cos (* 4 (PI)))) (* 2/3 (* x (sin (* 4 (PI)))))))))))
(* 2 (PI))
(+ x (* 2 (PI)))
(+ eps (/ (* eps (pow x 2)) (+ 1/2 (* 1/2 (cos (* 4 (PI)))))))
(+ eps (* (pow x 2) (+ (/ eps (+ 1/2 (* 1/2 (cos (* 4 (PI)))))) (/ (* eps (* x (sin (* 4 (PI))))) (pow (+ 1/2 (* 1/2 (cos (* 4 (PI))))) 2)))))
(+ eps (* (pow x 2) (+ (* x (- (* x (- (* -1/3 (/ eps (+ 1/2 (* 1/2 (cos (* 4 (PI))))))) (+ (* -1 (/ (* eps (cos (* 4 (PI)))) (pow (+ 1/2 (* 1/2 (cos (* 4 (PI))))) 2))) (* -1 (/ (* eps (pow (sin (* 4 (PI))) 2)) (pow (+ 1/2 (* 1/2 (cos (* 4 (PI))))) 3)))))) (* -1 (/ (* eps (sin (* 4 (PI)))) (pow (+ 1/2 (* 1/2 (cos (* 4 (PI))))) 2))))) (/ eps (+ 1/2 (* 1/2 (cos (* 4 (PI)))))))))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/2 (/ (sin eps) (cos eps))))) (cos eps)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* (pow x 2) (- (* -1/2 (/ (sin eps) (cos eps))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
(+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* 1/24 (/ (sin eps) (cos eps))) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
(+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (* (pow x 2) (- (+ (* 1/24 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* -1/720 (/ (sin eps) (cos eps))) (+ (* -2/15 (/ (sin eps) (cos eps))) (+ (* -1/120 (/ (sin eps) (cos eps))) (* 1/18 (/ (sin eps) (cos eps)))))))) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
(+ x (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* -1/2 (/ (* x (sin eps)) (cos eps))))) (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* x (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/6 x))))) (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (/ (sin eps) (cos eps)))
1/3
(+ 1/3 (* 4/3 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 4/3 (* 17/9 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/9 (* 248/135 (pow x 2)))))))
(* 1/3 eps)
(+ (* 1/3 eps) (* 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))))))
(cos (* 4 (PI)))
(+ (cos (* 4 (PI))) (* -2 (* x (sin (* 4 (PI))))))
(+ (cos (* 4 (PI))) (* x (- (* -2 (* x (cos (* 4 (PI))))) (* 2 (sin (* 4 (PI)))))))
(+ (cos (* 4 (PI))) (* x (- (* x (+ (* -2 (cos (* 4 (PI)))) (* 4/3 (* x (sin (* 4 (PI))))))) (* 2 (sin (* 4 (PI)))))))
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(- (+ (* -1/2 (/ (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)
(- 1/2 (+ (* -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) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (/ (pow (sin x) 2) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (sin x) (cos x))
(+ 1/2 (* 1/2 (cos (* 2 (+ x (* 2 (PI)))))))
(* x (+ 1 (* 2 (/ (PI) x))))
(+ eps (/ (* eps (pow (sin x) 2)) (+ 1/2 (* 1/2 (cos (* 2 (+ x (* 2 (PI)))))))))
(/ (- (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(- (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(- 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)))))
(* 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))))))
(cos (* 2 (+ x (* 2 (PI)))))
(pow (sin x) 2)
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(+ 1/2 (* 1/2 (cos (* 2 (- (* 2 (PI)) (* -1 x))))))
(* -1 (* x (- (* -2 (/ (PI) x)) 1)))
(+ eps (/ (* eps (pow (sin x) 2)) (+ 1/2 (* 1/2 (cos (* 2 (- (* 2 (PI)) (* -1 x))))))))
(cos (* 2 (- (* 2 (PI)) (* -1 x))))
(/ (pow (sin x) 2) (cos x))
(+ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (pow (sin x) 2) (cos x)))
(* 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 (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 (+ x (* 2 (PI))))))))))
(/ (* eps (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (cos x))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))))) (pow (cos x) 2))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1/3 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2))))))) (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- (+ (cos x) (* (pow eps 2) (- (* 1/3 (cos x)) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (- (* 2/15 (cos x)) (* -2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (- (+ (* 2/15 (cos x)) (* (pow eps 2) (- (* 17/315 (cos x)) (* -17/315 (/ (pow (sin x) 2) (cos x)))))) (* -2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(sin x)
(+ (sin x) (* eps (cos x)))
(+ (sin x) (* eps (+ (cos x) (* 1/3 (* (pow eps 2) (cos x))))))
(+ (sin x) (* eps (+ (cos x) (* (pow eps 2) (+ (* 2/15 (* (pow eps 2) (cos x))) (* 1/3 (cos x)))))))
(+ eps (/ (sin x) (cos x)))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (/ (sin x) (cos x)))
(+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (/ (sin x) (cos x)))
(* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (pow (sin x) 2) (* eps (cos x)))))
(* -1 (* eps (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))))
(* -1 (* eps (+ (* -1 (/ (pow (sin x) 2) (* eps (cos x)))) (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
(* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 (+ x (* 2 (PI))))))))) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
18.0ms	x	@	inf	((+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (+ (* (neg (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 (+ (* (+ (* (neg (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)))) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (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) (+ 1/2 (* 1/2 (cos (* 2 (+ (+ (PI) x) (PI)))))) (+ (+ (PI) x) (PI)) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 (+ (+ (PI) x) (PI))))))) eps) eps) (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (* (neg (tan x)) (tan eps)) 1) (cos x))) (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (tan eps) (tan x)) (cos x)) (+ (tan eps) (tan x)) (+ (neg (+ (* (+ (* (neg (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) (* (+ (neg (+ (* (+ (* (neg (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) (- (tan (+ x eps)) (tan x)) (cos (* 2 (+ (+ (PI) x) (PI)))) (pow (sin x) 2))
12.0ms	eps	@	inf	((+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (+ (* (neg (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 (+ (* (+ (* (neg (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)))) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (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) (+ 1/2 (* 1/2 (cos (* 2 (+ (+ (PI) x) (PI)))))) (+ (+ (PI) x) (PI)) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 (+ (+ (PI) x) (PI))))))) eps) eps) (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (* (neg (tan x)) (tan eps)) 1) (cos x))) (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (tan eps) (tan x)) (cos x)) (+ (tan eps) (tan x)) (+ (neg (+ (* (+ (* (neg (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) (* (+ (neg (+ (* (+ (* (neg (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) (- (tan (+ x eps)) (tan x)) (cos (* 2 (+ (+ (PI) x) (PI)))) (pow (sin x) 2))
9.0ms	x	@	-inf	((+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (+ (* (neg (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 (+ (* (+ (* (neg (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)))) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (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) (+ 1/2 (* 1/2 (cos (* 2 (+ (+ (PI) x) (PI)))))) (+ (+ (PI) x) (PI)) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 (+ (+ (PI) x) (PI))))))) eps) eps) (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (* (neg (tan x)) (tan eps)) 1) (cos x))) (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (tan eps) (tan x)) (cos x)) (+ (tan eps) (tan x)) (+ (neg (+ (* (+ (* (neg (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) (* (+ (neg (+ (* (+ (* (neg (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) (- (tan (+ x eps)) (tan x)) (cos (* 2 (+ (+ (PI) x) (PI)))) (pow (sin x) 2))
9.0ms	eps	@	0	((+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (+ (* (neg (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 (+ (* (+ (* (neg (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)))) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (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) (+ 1/2 (* 1/2 (cos (* 2 (+ (+ (PI) x) (PI)))))) (+ (+ (PI) x) (PI)) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 (+ (+ (PI) x) (PI))))))) eps) eps) (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (* (neg (tan x)) (tan eps)) 1) (cos x))) (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (tan eps) (tan x)) (cos x)) (+ (tan eps) (tan x)) (+ (neg (+ (* (+ (* (neg (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) (* (+ (neg (+ (* (+ (* (neg (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) (- (tan (+ x eps)) (tan x)) (cos (* 2 (+ (+ (PI) x) (PI)))) (pow (sin x) 2))
8.0ms	eps	@	-inf	((+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (+ (* (neg (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 (+ (* (+ (* (neg (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)))) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (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) (+ 1/2 (* 1/2 (cos (* 2 (+ (+ (PI) x) (PI)))))) (+ (+ (PI) x) (PI)) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 (+ (+ (PI) x) (PI))))))) eps) eps) (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (* (neg (tan x)) (tan eps)) 1) (cos x))) (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (tan eps) (tan x)) (cos x)) (+ (tan eps) (tan x)) (+ (neg (+ (* (+ (* (neg (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) (* (+ (neg (+ (* (+ (* (neg (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) (- (tan (+ x eps)) (tan x)) (cos (* 2 (+ (+ (PI) x) (PI)))) (pow (sin x) 2))

simplify165.0ms (1.1%)

Memory

15.7MiB live, 156.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	590	2829
1	2004	2668
2	7878	2635
0	8016	2461

Stop Event

1×	iter limit
1×	node limit

Counts

121 → 119

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)
1/2
(+ 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 (* -1/6 eps)))))))
(* x (+ eps (* x (+ 1 (* x (+ eps (+ (* -1/6 eps) (* 1/6 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))))))))
(+ 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))))))))
(+ 1/2 (* 1/2 (cos (* 4 (PI)))))
(+ 1/2 (+ (* -1 (* x (sin (* 4 (PI))))) (* 1/2 (cos (* 4 (PI))))))
(+ 1/2 (+ (* 1/2 (cos (* 4 (PI)))) (* x (+ (* -1 (sin (* 4 (PI)))) (* -1 (* x (cos (* 4 (PI)))))))))
(+ 1/2 (+ (* 1/2 (cos (* 4 (PI)))) (* x (+ (* -1 (sin (* 4 (PI)))) (* x (+ (* -1 (cos (* 4 (PI)))) (* 2/3 (* x (sin (* 4 (PI)))))))))))
(* 2 (PI))
(+ x (* 2 (PI)))
(+ eps (/ (* eps (pow x 2)) (+ 1/2 (* 1/2 (cos (* 4 (PI)))))))
(+ eps (* (pow x 2) (+ (/ eps (+ 1/2 (* 1/2 (cos (* 4 (PI)))))) (/ (* eps (* x (sin (* 4 (PI))))) (pow (+ 1/2 (* 1/2 (cos (* 4 (PI))))) 2)))))
(+ eps (* (pow x 2) (+ (* x (- (* x (- (* -1/3 (/ eps (+ 1/2 (* 1/2 (cos (* 4 (PI))))))) (+ (* -1 (/ (* eps (cos (* 4 (PI)))) (pow (+ 1/2 (* 1/2 (cos (* 4 (PI))))) 2))) (* -1 (/ (* eps (pow (sin (* 4 (PI))) 2)) (pow (+ 1/2 (* 1/2 (cos (* 4 (PI))))) 3)))))) (* -1 (/ (* eps (sin (* 4 (PI)))) (pow (+ 1/2 (* 1/2 (cos (* 4 (PI))))) 2))))) (/ eps (+ 1/2 (* 1/2 (cos (* 4 (PI)))))))))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/2 (/ (sin eps) (cos eps))))) (cos eps)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* (pow x 2) (- (* -1/2 (/ (sin eps) (cos eps))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
(+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* 1/24 (/ (sin eps) (cos eps))) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
(+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (* (pow x 2) (- (+ (* 1/24 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* -1/720 (/ (sin eps) (cos eps))) (+ (* -2/15 (/ (sin eps) (cos eps))) (+ (* -1/120 (/ (sin eps) (cos eps))) (* 1/18 (/ (sin eps) (cos eps)))))))) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
(+ x (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* -1/2 (/ (* x (sin eps)) (cos eps))))) (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* x (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/6 x))))) (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (/ (sin eps) (cos eps)))
1/3
(+ 1/3 (* 4/3 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 4/3 (* 17/9 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/9 (* 248/135 (pow x 2)))))))
(* 1/3 eps)
(+ (* 1/3 eps) (* 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))))))
(cos (* 4 (PI)))
(+ (cos (* 4 (PI))) (* -2 (* x (sin (* 4 (PI))))))
(+ (cos (* 4 (PI))) (* x (- (* -2 (* x (cos (* 4 (PI))))) (* 2 (sin (* 4 (PI)))))))
(+ (cos (* 4 (PI))) (* x (- (* x (+ (* -2 (cos (* 4 (PI)))) (* 4/3 (* x (sin (* 4 (PI))))))) (* 2 (sin (* 4 (PI)))))))
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(- (+ (* -1/2 (/ (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)
(- 1/2 (+ (* -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) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (/ (pow (sin x) 2) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (sin x) (cos x))
(+ 1/2 (* 1/2 (cos (* 2 (+ x (* 2 (PI)))))))
(* x (+ 1 (* 2 (/ (PI) x))))
(+ eps (/ (* eps (pow (sin x) 2)) (+ 1/2 (* 1/2 (cos (* 2 (+ x (* 2 (PI)))))))))
(/ (- (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(- (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(- 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)))))
(* 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))))))
(cos (* 2 (+ x (* 2 (PI)))))
(pow (sin x) 2)
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(+ 1/2 (* 1/2 (cos (* 2 (- (* 2 (PI)) (* -1 x))))))
(* -1 (* x (- (* -2 (/ (PI) x)) 1)))
(+ eps (/ (* eps (pow (sin x) 2)) (+ 1/2 (* 1/2 (cos (* 2 (- (* 2 (PI)) (* -1 x))))))))
(cos (* 2 (- (* 2 (PI)) (* -1 x))))
(/ (pow (sin x) 2) (cos x))
(+ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (pow (sin x) 2) (cos x)))
(* 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 (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 (+ x (* 2 (PI))))))))))
(/ (* eps (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (cos x))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))))) (pow (cos x) 2))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1/3 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2))))))) (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- (+ (cos x) (* (pow eps 2) (- (* 1/3 (cos x)) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (- (* 2/15 (cos x)) (* -2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (- (+ (* 2/15 (cos x)) (* (pow eps 2) (- (* 17/315 (cos x)) (* -17/315 (/ (pow (sin x) 2) (cos x)))))) (* -2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(sin x)
(+ (sin x) (* eps (cos x)))
(+ (sin x) (* eps (+ (cos x) (* 1/3 (* (pow eps 2) (cos x))))))
(+ (sin x) (* eps (+ (cos x) (* (pow eps 2) (+ (* 2/15 (* (pow eps 2) (cos x))) (* 1/3 (cos x)))))))
(+ eps (/ (sin x) (cos x)))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (/ (sin x) (cos x)))
(+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (/ (sin x) (cos x)))
(* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (pow (sin x) 2) (* eps (cos x)))))
(* -1 (* eps (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))))
(* -1 (* eps (+ (* -1 (/ (pow (sin x) 2) (* eps (cos x)))) (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
(* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 (+ x (* 2 (PI))))))))) 1)))

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)
(-.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))
1/2
#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 (* -1/6 eps)))))))
(.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) (.f64 eps x) #s(literal 1 binary64)) x eps) x)
(* x (+ eps (* x (+ 1 (* x (+ eps (+ (* -1/6 eps) (* 1/6 x))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x eps) x)
(/ (sin eps) (cos eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 x (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps))) x (/.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 (/.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 eps)) (sin.f64 eps) (.f64 (neg.f64 x) (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (+.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1/6 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) #s(literal 1/2 binary64))))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
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))))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/45 binary64) eps) (fma.f64 #s(literal -2/3 binary64) eps (.f64 #s(literal 1/3 binary64) eps))) (.f64 x x) (.f64 #s(literal 2/3 binary64) eps)) (.f64 x x) eps) (.f64 x x) eps)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)
(+ 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))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 17/45 binary64) (.f64 x x)) eps (.f64 #s(literal 2/3 binary64) eps)) (.f64 x x) eps) (*.f64 x x) eps)
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)
(+ 1/2 (* 1/2 (cos (* 4 (PI)))))
(fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1 (* x (sin (* 4 (PI))))) (* 1/2 (cos (* 4 (PI))))))
(fma.f64 (sin.f64 (.f64 #s(literal -4 binary64) (PI.f64))) x (fma.f64 (cos.f64 (.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* 1/2 (cos (* 4 (PI)))) (* x (+ (* -1 (sin (* 4 (PI)))) (* -1 (* x (cos (* 4 (PI)))))))))
(fma.f64 (fma.f64 (neg.f64 x) (cos.f64 (.f64 (PI.f64) #s(literal 4 binary64))) (sin.f64 (.f64 #s(literal -4 binary64) (PI.f64)))) x (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* 1/2 (cos (* 4 (PI)))) (* x (+ (* -1 (sin (* 4 (PI)))) (* x (+ (* -1 (cos (* 4 (PI)))) (* 2/3 (* x (sin (* 4 (PI)))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 2/3 binary64) x) (sin.f64 (.f64 (PI.f64) #s(literal 4 binary64))) (cos.f64 (fma.f64 #s(literal -4 binary64) (PI.f64) (PI.f64)))) x (sin.f64 (.f64 #s(literal -4 binary64) (PI.f64)))) x (fma.f64 (cos.f64 (.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(* 2 (PI))
(*.f64 (PI.f64) #s(literal 2 binary64))
(+ x (* 2 (PI)))
(fma.f64 (PI.f64) #s(literal 2 binary64) x)
(+ eps (/ (* eps (pow x 2)) (+ 1/2 (* 1/2 (cos (* 4 (PI)))))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 (cos.f64 (.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) eps eps)
(+ eps (* (pow x 2) (+ (/ eps (+ 1/2 (* 1/2 (cos (* 4 (PI)))))) (/ (* eps (* x (sin (* 4 (PI))))) (pow (+ 1/2 (* 1/2 (cos (* 4 (PI))))) 2)))))
(fma.f64 (fma.f64 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 4 binary64))) x) (pow.f64 (fma.f64 (cos.f64 (.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) eps (/.f64 eps (fma.f64 (cos.f64 (.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 x x) eps)
(+ eps (* (pow x 2) (+ (* x (- (* x (- (* -1/3 (/ eps (+ 1/2 (* 1/2 (cos (* 4 (PI))))))) (+ (* -1 (/ (* eps (cos (* 4 (PI)))) (pow (+ 1/2 (* 1/2 (cos (* 4 (PI))))) 2))) (* -1 (/ (* eps (pow (sin (* 4 (PI))) 2)) (pow (+ 1/2 (* 1/2 (cos (* 4 (PI))))) 3)))))) (* -1 (/ (* eps (sin (* 4 (PI)))) (pow (+ 1/2 (* 1/2 (cos (* 4 (PI))))) 2))))) (/ eps (+ 1/2 (* 1/2 (cos (* 4 (PI)))))))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 eps (fma.f64 (cos.f64 (.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1/3 binary64) (.f64 #s(literal 1 binary64) (.f64 eps (+.f64 (/.f64 (cos.f64 (.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (fma.f64 (cos.f64 (.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (cos.f64 (.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))))))) x (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 4 binary64))) eps) (pow.f64 (fma.f64 (cos.f64 (.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) x (/.f64 eps (fma.f64 (cos.f64 (.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (.f64 x x) eps)
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (neg.f64 x) (-.f64 (pow.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) #s(literal 3 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/2 (/ (sin eps) (cos eps))))) (cos eps)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (+.f64 (fma.f64 (neg.f64 x) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 eps) (fma.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps))) #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 eps) #s(literal 1/6 binary64)) (cos.f64 eps)))) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* (pow x 2) (- (* -1/2 (/ (sin eps) (cos eps))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* 1/24 (/ (sin eps) (cos eps))) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 5/24 binary64)) (.f64 x x) (/.f64 (.f64 (sin.f64 eps) #s(literal 1/2 binary64)) (cos.f64 eps))) (.f64 x x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (* (pow x 2) (- (+ (* 1/24 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* -1/720 (/ (sin eps) (cos eps))) (+ (* -2/15 (/ (sin eps) (cos eps))) (+ (* -1/120 (/ (sin eps) (cos eps))) (* 1/18 (/ (sin eps) (cos eps)))))))) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal -1/720 binary64) (sin.f64 eps)) (cos.f64 eps)) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal -31/360 binary64))) (.f64 x x) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 5/24 binary64))) (.f64 x x) (/.f64 (.f64 (sin.f64 eps) #s(literal 1/2 binary64)) (cos.f64 eps))) (*.f64 x x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ x (/ (sin eps) (cos eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x)
(+ (* x (+ 1 (* -1/2 (/ (* x (sin eps)) (cos eps))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 1 binary64)) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (+ 1 (* x (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/6 x))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (+ 1 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps)))
(+.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (/ (sin eps) (cos eps)))
(+.f64 (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) (/.f64 (sin.f64 eps) (cos.f64 eps)))
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))
(* 1/3 eps)
(*.f64 #s(literal 1/3 binary64) eps)
(+ (* 1/3 eps) (* 4/3 (* eps (pow x 2))))
(fma.f64 (.f64 (.f64 eps x) x) #s(literal 4/3 binary64) (*.f64 #s(literal 1/3 binary64) eps))
(+ (* 1/3 eps) (* (pow x 2) (+ (* 4/3 eps) (* 17/9 (* eps (pow x 2))))))
(fma.f64 (.f64 (fma.f64 (.f64 (.f64 eps x) x) #s(literal 17/9 binary64) (.f64 #s(literal 4/3 binary64) eps)) x) x (*.f64 #s(literal 1/3 binary64) eps))
(+ (* 1/3 eps) (* (pow x 2) (+ (* 4/3 eps) (* (pow x 2) (+ (* 248/135 (* eps (pow x 2))) (* 17/9 eps))))))
(fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 eps x) x) #s(literal 248/135 binary64) (.f64 #s(literal 17/9 binary64) eps)) x) x (.f64 #s(literal 4/3 binary64) eps)) (.f64 x x) (*.f64 #s(literal 1/3 binary64) eps))
(cos (* 4 (PI)))
(cos.f64 (*.f64 (PI.f64) #s(literal 4 binary64)))
(+ (cos (* 4 (PI))) (* -2 (* x (sin (* 4 (PI))))))
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(cos (* 2 (+ x (* 2 (PI)))))
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(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
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(/ (pow (sin x) 2) (cos x))
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(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1/3 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2))))))) (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* eps (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))))
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(* eps (- (+ (cos x) (* (pow eps 2) (- (* 1/3 (cos x)) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)) (cos.f64 x))) (*.f64 eps eps) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)) (cos.f64 x))) eps)
(* eps (- (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (- (* 2/15 (cos x)) (* -2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 2/15 binary64) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)) (cos.f64 x))) (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)) (cos.f64 x)))) (*.f64 eps eps) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)) (cos.f64 x))) eps)
(* eps (- (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (- (+ (* 2/15 (cos x)) (* (pow eps 2) (- (* 17/315 (cos x)) (* -17/315 (/ (pow (sin x) 2) (cos x)))))) (* -2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 17/315 binary64) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)) (cos.f64 x))) (.f64 eps eps) (.f64 #s(literal 2/15 binary64) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)) (cos.f64 x)))) (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)) (cos.f64 x)))) (*.f64 eps eps) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)) (cos.f64 x))) eps)
(sin x)
(sin.f64 x)
(+ (sin x) (* eps (cos x)))
(fma.f64 (cos.f64 x) eps (sin.f64 x))
(+ (sin x) (* eps (+ (cos x) (* 1/3 (* (pow eps 2) (cos x))))))
(fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) (cos.f64 x)) eps (sin.f64 x))
(+ (sin x) (* eps (+ (cos x) (* (pow eps 2) (+ (* 2/15 (* (pow eps 2) (cos x))) (* 1/3 (cos x)))))))
(fma.f64 (fma.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64))) (*.f64 eps eps) (cos.f64 x)) eps (sin.f64 x))
(+ eps (/ (sin x) (cos x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) eps)
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (/ (sin x) (cos x)))
(+.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64) eps) (/.f64 (sin.f64 x) (cos.f64 x)))
(+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (/ (sin x) (cos x)))
(+.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) eps) (/.f64 (sin.f64 x) (cos.f64 x)))
(* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) eps)
(* eps (+ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (pow (sin x) 2) (* eps (cos x)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 x) eps) (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x))) eps)
(* -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))) eps) (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 (- (* -1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 (+ x (* 2 (PI))))))))) 1)))
(.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 (cos.f64 (.f64 #s(literal -2 binary64) (fma.f64 (PI.f64) #s(literal 2 binary64) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))

rewrite250.0ms (1.7%)

Memory

-15.8MiB live, 230.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	455
0	122	455
1	521	352
2	4294	352
0	8810	343

Stop Event

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

Counts

25 → 450

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

Outputs
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)) (.f64 (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)) #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)) (pow.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.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)) (fma.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 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 (pow.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 2 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)))) (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 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/36 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 (.f64 (pow.f64 (tan.f64 x) #s(literal 2 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)) #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 (pow.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/36 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 (*.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) (*.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 (pow.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 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 (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)))
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eval196.0ms (1.3%)

Memory: 17.1MiB live, 207.3MiB allocated
Compiler: Compiled 48 016 to 5 283 computations (89% saved)

prune47.0ms (0.3%)

Memory

-33.2MiB live, 69.1MiB allocated

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	823	7	830
Fresh	5	6	11
Picked	2	3	5
Done	1	1	2
Total	831	17	848

Accuracy

100.0%

Counts

848 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)) (cos.f64 x))) (.f64 eps eps) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)) (cos.f64 x))) eps)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
	99.8%	(/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)) (cos.f64 x)) eps)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
	64.4%	(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x))
▶	36.8%	(-.f64 (tan.f64 (-.f64 (/.f64 (.f64 eps eps) (-.f64 eps x)) (/.f64 (.f64 x x) (-.f64 eps x)))) (tan.f64 x))
✓	64.3%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (tan.f64 (+.f64 (PI.f64) x)) #s(literal 2 binary64)) eps eps))
✓	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))))) eps eps))
▶	3.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 (PI.f64) x) #s(literal 2 binary64)) (-.f64 (+.f64 (PI.f64) x) (PI.f64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (+.f64 (PI.f64) x) (PI.f64))))))))) eps eps))
✓	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (+.f64 (PI.f64) x) (PI.f64))))))) eps eps))
	99.6%	#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 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 (PI.f64) x) (PI.f64))))))) eps eps))
	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (pow (sin x) 2) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/315 binary64) (.f64 x x) #s(literal 2/45 binary64)) x) x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (+.f64 (PI.f64) x) (PI.f64))))))) eps eps))
▶	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (pow (sin x) 2) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 (PI.f64) x) (PI.f64))))))) eps eps))
	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
	99.2%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
▶	99.2%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
✓	99.2%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (*.f64 x x)) eps eps))

Compiler

Compiled 1 008 to 641 computations (36.4% saved)

simplify117.0ms (0.8%)

Memory

28.1MiB live, 119.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 (PI.f64) x) #s(literal 2 binary64)) (-.f64 (+.f64 (PI.f64) x) (PI.f64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (+.f64 (PI.f64) x) (PI.f64))))))))) eps eps))
cost-diff	1	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 (PI.f64) x) #s(literal 2 binary64)) (-.f64 (+.f64 (PI.f64) x) (PI.f64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (+.f64 (PI.f64) x) (PI.f64))))))))
cost-diff	2	(-.f64 (/.f64 (pow.f64 (+.f64 (PI.f64) x) #s(literal 2 binary64)) (-.f64 (+.f64 (PI.f64) x) (PI.f64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (+.f64 (PI.f64) x) (PI.f64))))
cost-diff	4	(-.f64 (+.f64 (PI.f64) x) (PI.f64))
cost-diff	0	(/.f64 (*.f64 eps eps) (-.f64 eps x))
cost-diff	0	(tan.f64 (-.f64 (/.f64 (.f64 eps eps) (-.f64 eps x)) (/.f64 (.f64 x x) (-.f64 eps x))))
cost-diff	0	(-.f64 (tan.f64 (-.f64 (/.f64 (.f64 eps eps) (-.f64 eps x)) (/.f64 (.f64 x x) (-.f64 eps x)))) (tan.f64 x))
cost-diff	4	(-.f64 (/.f64 (.f64 eps eps) (-.f64 eps x)) (/.f64 (.f64 x x) (-.f64 eps x)))
cost-diff	0	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (pow (sin x) 2) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 (PI.f64) x) (PI.f64))))))) eps eps))
cost-diff	1	(+.f64 (+.f64 (PI.f64) x) (PI.f64))
cost-diff	1	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (+.f64 (PI.f64) x) (PI.f64))))))
cost-diff	2	(.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
cost-diff	0	(fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)) eps eps)
cost-diff	0	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
cost-diff	2	(.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) x)
cost-diff	0	(.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)) (cos.f64 x))) (*.f64 eps eps) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)) (cos.f64 x))) eps)
cost-diff	0	#s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)) (cos.f64 x))) (*.f64 eps eps) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)) (cos.f64 x))) eps))
cost-diff	0	(/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)) (cos.f64 x))) (.f64 eps eps) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)) (cos.f64 x))) eps)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
cost-diff	9	(fma.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)) (cos.f64 x))) (.f64 eps eps) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)) (cos.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	934
0	147	930
1	283	930
2	736	862
3	2440	793
4	7449	793
0	8008	752

Stop Event

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

Calls

Call 1

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

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

localize650.0ms (4.4%)

Memory

-45.2MiB live, 563.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.33984375	(/.f64 (pow.f64 (+.f64 (PI.f64) x) #s(literal 2 binary64)) (-.f64 (+.f64 (PI.f64) x) (PI.f64)))
accuracy	1.695271226937083	(PI.f64)
accuracy	57.48016803961123	(-.f64 (+.f64 (PI.f64) x) (PI.f64))
accuracy	58.69599539226581	(-.f64 (/.f64 (pow.f64 (+.f64 (PI.f64) x) #s(literal 2 binary64)) (-.f64 (+.f64 (PI.f64) x) (PI.f64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (+.f64 (PI.f64) x) (PI.f64))))
accuracy	0.1328125	(-.f64 (/.f64 (.f64 eps eps) (-.f64 eps x)) (/.f64 (.f64 x x) (-.f64 eps x)))
accuracy	22.752000138120337	(-.f64 (tan.f64 (-.f64 (/.f64 (.f64 eps eps) (-.f64 eps x)) (/.f64 (.f64 x x) (-.f64 eps x)))) (tan.f64 x))
accuracy	28.772352154727834	(/.f64 (*.f64 x x) (-.f64 eps x))
accuracy	29.389225238759366	(/.f64 (*.f64 eps eps) (-.f64 eps x))
accuracy	0.1484375	(.f64 #s(literal 2/45 binary64) (.f64 x x))
accuracy	0.25555438376874295	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (pow (sin x) 2) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 (PI.f64) x) (PI.f64))))))) eps eps))
accuracy	0.3744764561737551	#s(approx (pow (sin x) 2) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
accuracy	1.695271226937083	(PI.f64)
accuracy	0.0078125	(.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) x)
accuracy	0.0078125	(.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)
accuracy	0.25555438376874295	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
accuracy	0.49236100347396683	#s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
accuracy	0.00390625	(/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)) (cos.f64 x))) (.f64 eps eps) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)) (cos.f64 x))) eps)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
accuracy	0.00390625	(.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)) (cos.f64 x))) (*.f64 eps eps) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)) (cos.f64 x))) eps)
accuracy	0.0078125	(*.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)) (cos.f64 x)))
accuracy	0.03939378276486079	#s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)) (cos.f64 x))) (*.f64 eps eps) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)) (cos.f64 x))) eps))

Samples

498.0ms	244×	1	valid
59.0ms	7×	5	exit
3.0ms	5×	0	valid

Compiler

Compiled 728 to 79 computations (89.1% saved)

Precisions

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

ival-mult: 112.0ms (22.3% of total)

ival-cos: 81.0ms (16.1% of total)

ival-pow2: 74.0ms (14.7% of total)

ival-tan: 57.0ms (11.3% of total)

adjust: 54.0ms (10.7% of total)

ival-add: 48.0ms (9.6% of total)

ival-div: 31.0ms (6.2% of total)

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

const: 13.0ms (2.6% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

series112.0ms (0.8%)

Memory

-19.3MiB live, 78.1MiB allocated

Counts

27 → 157

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
21.0ms	x	@	0	((+ (* (* 1/3 (+ (* (sin x) (/ (sin x) (cos x))) (cos x))) (* eps eps)) (+ (* (sin x) (/ (sin x) (cos x))) (cos x))) (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (* (neg (tan x)) (tan eps)) 1) (cos x))) (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (* (* 1/3 (+ (* (sin x) (/ (sin x) (cos x))) (cos x))) (* eps eps)) (+ (* (sin x) (/ (sin x) (cos x))) (cos x))) eps) (* (+ (* 2/3 (* x x)) 1) x) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (* (+ (* (- (* 2/45 (* x x)) 1/3) (* x x)) 1) x) (+ 1/2 (* 1/2 (cos (* 2 (+ (+ (PI) x) (PI)))))) (+ (+ (PI) x) (PI)) (- (tan (+ x eps)) (tan x)) (- (/ (* eps eps) (- eps x)) (/ (* x x) (- eps x))) (- (tan (- (/ (* eps eps) (- eps x)) (/ (* x x) (- eps x)))) (tan x)) (tan (- (/ (* eps eps) (- eps x)) (/ (* x x) (- eps x)))) (/ (* eps eps) (- eps x)) (- (+ (PI) x) (PI)) (- (/ (pow (+ (PI) x) 2) (- (+ (PI) x) (PI))) (/ (* (PI) (PI)) (- (+ (PI) x) (PI)))) (+ 1/2 (* 1/2 (cos (* 2 (- (/ (pow (+ (PI) x) 2) (- (+ (PI) x) (PI))) (/ (* (PI) (PI)) (- (+ (PI) x) (PI)))))))) (- (tan (+ x eps)) (tan x)) (* 1/3 (+ (* (sin x) (/ (sin x) (cos x))) (cos x))) (* (* (+ (* 2/3 (* x x)) 1) x) x) (PI) (pow (sin x) 2) (* 2/45 (* x x)) (/ (* x x) (- eps x)) (/ (pow (+ (PI) x) 2) (- (+ (PI) x) (PI))))
13.0ms	eps	@	-inf	((+ (* (* 1/3 (+ (* (sin x) (/ (sin x) (cos x))) (cos x))) (* eps eps)) (+ (* (sin x) (/ (sin x) (cos x))) (cos x))) (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (* (neg (tan x)) (tan eps)) 1) (cos x))) (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (* (* 1/3 (+ (* (sin x) (/ (sin x) (cos x))) (cos x))) (* eps eps)) (+ (* (sin x) (/ (sin x) (cos x))) (cos x))) eps) (* (+ (* 2/3 (* x x)) 1) x) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (* (+ (* (- (* 2/45 (* x x)) 1/3) (* x x)) 1) x) (+ 1/2 (* 1/2 (cos (* 2 (+ (+ (PI) x) (PI)))))) (+ (+ (PI) x) (PI)) (- (tan (+ x eps)) (tan x)) (- (/ (* eps eps) (- eps x)) (/ (* x x) (- eps x))) (- (tan (- (/ (* eps eps) (- eps x)) (/ (* x x) (- eps x)))) (tan x)) (tan (- (/ (* eps eps) (- eps x)) (/ (* x x) (- eps x)))) (/ (* eps eps) (- eps x)) (- (+ (PI) x) (PI)) (- (/ (pow (+ (PI) x) 2) (- (+ (PI) x) (PI))) (/ (* (PI) (PI)) (- (+ (PI) x) (PI)))) (+ 1/2 (* 1/2 (cos (* 2 (- (/ (pow (+ (PI) x) 2) (- (+ (PI) x) (PI))) (/ (* (PI) (PI)) (- (+ (PI) x) (PI)))))))) (- (tan (+ x eps)) (tan x)) (* 1/3 (+ (* (sin x) (/ (sin x) (cos x))) (cos x))) (* (* (+ (* 2/3 (* x x)) 1) x) x) (PI) (pow (sin x) 2) (* 2/45 (* x x)) (/ (* x x) (- eps x)) (/ (pow (+ (PI) x) 2) (- (+ (PI) x) (PI))))
10.0ms	x	@	-inf	((+ (* (* 1/3 (+ (* (sin x) (/ (sin x) (cos x))) (cos x))) (* eps eps)) (+ (* (sin x) (/ (sin x) (cos x))) (cos x))) (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (* (neg (tan x)) (tan eps)) 1) (cos x))) (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (* (* 1/3 (+ (* (sin x) (/ (sin x) (cos x))) (cos x))) (* eps eps)) (+ (* (sin x) (/ (sin x) (cos x))) (cos x))) eps) (* (+ (* 2/3 (* x x)) 1) x) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (* (+ (* (- (* 2/45 (* x x)) 1/3) (* x x)) 1) x) (+ 1/2 (* 1/2 (cos (* 2 (+ (+ (PI) x) (PI)))))) (+ (+ (PI) x) (PI)) (- (tan (+ x eps)) (tan x)) (- (/ (* eps eps) (- eps x)) (/ (* x x) (- eps x))) (- (tan (- (/ (* eps eps) (- eps x)) (/ (* x x) (- eps x)))) (tan x)) (tan (- (/ (* eps eps) (- eps x)) (/ (* x x) (- eps x)))) (/ (* eps eps) (- eps x)) (- (+ (PI) x) (PI)) (- (/ (pow (+ (PI) x) 2) (- (+ (PI) x) (PI))) (/ (* (PI) (PI)) (- (+ (PI) x) (PI)))) (+ 1/2 (* 1/2 (cos (* 2 (- (/ (pow (+ (PI) x) 2) (- (+ (PI) x) (PI))) (/ (* (PI) (PI)) (- (+ (PI) x) (PI)))))))) (- (tan (+ x eps)) (tan x)) (* 1/3 (+ (* (sin x) (/ (sin x) (cos x))) (cos x))) (* (* (+ (* 2/3 (* x x)) 1) x) x) (PI) (pow (sin x) 2) (* 2/45 (* x x)) (/ (* x x) (- eps x)) (/ (pow (+ (PI) x) 2) (- (+ (PI) x) (PI))))
10.0ms	x	@	inf	((+ (* (* 1/3 (+ (* (sin x) (/ (sin x) (cos x))) (cos x))) (* eps eps)) (+ (* (sin x) (/ (sin x) (cos x))) (cos x))) (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (* (neg (tan x)) (tan eps)) 1) (cos x))) (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (* (* 1/3 (+ (* (sin x) (/ (sin x) (cos x))) (cos x))) (* eps eps)) (+ (* (sin x) (/ (sin x) (cos x))) (cos x))) eps) (* (+ (* 2/3 (* x x)) 1) x) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (* (+ (* (- (* 2/45 (* x x)) 1/3) (* x x)) 1) x) (+ 1/2 (* 1/2 (cos (* 2 (+ (+ (PI) x) (PI)))))) (+ (+ (PI) x) (PI)) (- (tan (+ x eps)) (tan x)) (- (/ (* eps eps) (- eps x)) (/ (* x x) (- eps x))) (- (tan (- (/ (* eps eps) (- eps x)) (/ (* x x) (- eps x)))) (tan x)) (tan (- (/ (* eps eps) (- eps x)) (/ (* x x) (- eps x)))) (/ (* eps eps) (- eps x)) (- (+ (PI) x) (PI)) (- (/ (pow (+ (PI) x) 2) (- (+ (PI) x) (PI))) (/ (* (PI) (PI)) (- (+ (PI) x) (PI)))) (+ 1/2 (* 1/2 (cos (* 2 (- (/ (pow (+ (PI) x) 2) (- (+ (PI) x) (PI))) (/ (* (PI) (PI)) (- (+ (PI) x) (PI)))))))) (- (tan (+ x eps)) (tan x)) (* 1/3 (+ (* (sin x) (/ (sin x) (cos x))) (cos x))) (* (* (+ (* 2/3 (* x x)) 1) x) x) (PI) (pow (sin x) 2) (* 2/45 (* x x)) (/ (* x x) (- eps x)) (/ (pow (+ (PI) x) 2) (- (+ (PI) x) (PI))))
7.0ms	eps	@	inf	((+ (* (* 1/3 (+ (* (sin x) (/ (sin x) (cos x))) (cos x))) (* eps eps)) (+ (* (sin x) (/ (sin x) (cos x))) (cos x))) (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (* (neg (tan x)) (tan eps)) 1) (cos x))) (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (* (* 1/3 (+ (* (sin x) (/ (sin x) (cos x))) (cos x))) (* eps eps)) (+ (* (sin x) (/ (sin x) (cos x))) (cos x))) eps) (* (+ (* 2/3 (* x x)) 1) x) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (* (+ (* (- (* 2/45 (* x x)) 1/3) (* x x)) 1) x) (+ 1/2 (* 1/2 (cos (* 2 (+ (+ (PI) x) (PI)))))) (+ (+ (PI) x) (PI)) (- (tan (+ x eps)) (tan x)) (- (/ (* eps eps) (- eps x)) (/ (* x x) (- eps x))) (- (tan (- (/ (* eps eps) (- eps x)) (/ (* x x) (- eps x)))) (tan x)) (tan (- (/ (* eps eps) (- eps x)) (/ (* x x) (- eps x)))) (/ (* eps eps) (- eps x)) (- (+ (PI) x) (PI)) (- (/ (pow (+ (PI) x) 2) (- (+ (PI) x) (PI))) (/ (* (PI) (PI)) (- (+ (PI) x) (PI)))) (+ 1/2 (* 1/2 (cos (* 2 (- (/ (pow (+ (PI) x) 2) (- (+ (PI) x) (PI))) (/ (* (PI) (PI)) (- (+ (PI) x) (PI)))))))) (- (tan (+ x eps)) (tan x)) (* 1/3 (+ (* (sin x) (/ (sin x) (cos x))) (cos x))) (* (* (+ (* 2/3 (* x x)) 1) x) x) (PI) (pow (sin x) 2) (* 2/45 (* x x)) (/ (* x x) (- eps x)) (/ (pow (+ (PI) x) 2) (- (+ (PI) x) (PI))))

simplify147.0ms (1%)

Memory

41.2MiB live, 170.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	804	3894
1	2689	3602
0	8944	3411

Stop Event

1×	iter limit
1×	node limit

Counts

157 → 155

Calls

Call 1

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

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

rewrite257.0ms (1.7%)

Memory

-35.4MiB live, 222.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	541
0	147	454
1	612	391
2	4979	378
0	8268	376

Stop Event

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

Counts

27 → 563

Calls

Call 1

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

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

eval121.0ms (0.8%)

Memory: 28.7MiB live, 162.9MiB allocated
Compiler: Compiled 38 629 to 5 637 computations (85.4% saved)

prune36.0ms (0.2%)

Memory

6.4MiB live, 58.9MiB allocated

Pruning

20 alts after pruning (14 fresh and 6 done)

	Pruned	Kept	Total
New	766	8	774
Fresh	2	6	8
Picked	3	2	5
Done	0	4	4
Total	771	20	791

Accuracy

100.0%

Counts

791 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (fma.f64 (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x))) eps)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
	99.9%	(/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (fma.f64 #s(approx ( 1/3 (+ (* (sin x) (/ (sin x) (cos x))) (cos x))) #s(literal 1/3 binary64)) (.f64 eps eps) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)) (cos.f64 x))) eps)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
	99.8%	(/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (cos.f64 x)) eps)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
	64.4%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x))
✓	36.8%	(-.f64 (tan.f64 (-.f64 (/.f64 (.f64 eps eps) (-.f64 eps x)) (/.f64 (.f64 x x) (-.f64 eps x)))) (tan.f64 x))
✓	64.3%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (tan.f64 (+.f64 (PI.f64) x)) #s(literal 2 binary64)) eps eps))
✓	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))))) eps eps))
	3.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) x) #s(literal 2 binary64)) (-.f64 (+.f64 (PI.f64) x) (PI.f64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (+.f64 (PI.f64) x) (PI.f64))))))))) eps eps))
	3.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (-.f64 (.f64 (+.f64 (PI.f64) x) (/.f64 (+.f64 (PI.f64) x) (-.f64 (+.f64 (PI.f64) x) (PI.f64)))) (/.f64 (.f64 (PI.f64) (PI.f64)) (-.f64 (+.f64 (PI.f64) x) (PI.f64))))))))) eps eps))
✓	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (+.f64 (PI.f64) x) (PI.f64))))))) eps eps))
	99.6%	#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 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 (PI.f64) x) (PI.f64))))))) eps eps))
	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (pow (sin x) 2) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/315 binary64) (.f64 x x) #s(literal 2/45 binary64)) x) x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (+.f64 (PI.f64) x) (PI.f64))))))) eps eps))
	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (pow (sin x) 2) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) eps eps))
	99.2%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (pow (sin x) 2) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)) #s(approx (+ 1/2 ( 1/2 (cos (* 2 (+ (+ (PI) x) (PI)))))) (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) eps eps))
	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
	99.2%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
✓	99.2%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
✓	99.2%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (*.f64 x x)) eps eps))

Compiler

Compiled 2 139 to 761 computations (64.4% saved)

regimes33.0ms (0.2%)

Memory

-38.4MiB live, 51.9MiB allocated

Counts

39 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes28.0ms (0.2%)

Memory

6.6MiB live, 51.8MiB allocated

Counts

34 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes26.0ms (0.2%)

Memory

-8.0MiB live, 47.1MiB allocated

Counts

29 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

11.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
7.0ms	eps
7.0ms	x

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes35.0ms (0.2%)

Memory

-1.8MiB live, 45.4MiB allocated

Counts

27 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

20.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
7.0ms	eps
6.0ms	x

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes18.0ms (0.1%)

Memory

25.0MiB live, 25.0MiB allocated

Counts

23 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes15.0ms (0.1%)

Memory

20.2MiB live, 20.2MiB allocated

Counts

19 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes27.0ms (0.2%)

Memory

-18.5MiB live, 28.6MiB allocated

Counts

18 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes17.0ms (0.1%)

Memory

-17.7MiB live, 27.1MiB allocated

Counts

16 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
4.0ms	eps
4.0ms	x

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes9.0ms (0.1%)

Memory

17.9MiB live, 17.9MiB allocated

Counts

9 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

regimes7.0ms (0%)

Memory

16.1MiB live, 16.1MiB allocated

Counts

7 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
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)

regimes9.0ms (0.1%)

Memory

-36.7MiB live, 15.3MiB allocated

Counts

6 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

4.0ms	x
2.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
2.0ms	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)

regimes6.0ms (0%)

Memory

11.2MiB live, 11.2MiB allocated

Counts

5 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

regimes5.0ms (0%)

Memory

10.0MiB live, 10.0MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

Outputs

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0%)

Memory

9.3MiB live, 9.3MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes3.0ms (0%)

Memory

7.1MiB live, 7.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify89.0ms (0.6%)

Memory

-18.2MiB live, 29.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	145	573
1	198	570
2	316	570
3	669	570
4	1452	570
5	3660	566
6	6508	566

Stop Event

1×	node limit

Calls

Call 1

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

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

soundness1.4s (9.8%)

Memory

12.4MiB live, 628.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	590	2829
1	2004	2668
2	7878	2635
0	8016	2461
0	6	16
0	10	16
1	53	16
2	440	16
3	6608	16
0	8588	16
0	748	4958
1	2334	4561
0	8810	4332
0	157	970
1	488	910
2	1845	849
0	8454	797
0	83	541
0	147	454
1	612	391
2	4979	378
0	8268	376
0	49	349
0	91	337
1	425	291
2	3416	286
0	8208	280
0	804	3894
1	2689	3602
0	8944	3411

Stop Event

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

Compiler

Compiled 1 031 to 483 computations (53.2% saved)

preprocess102.0ms (0.7%)

Memory: 14.9MiB live, 208.6MiB allocated
Compiler: Compiled 1 180 to 320 computations (72.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze51.0ms (0.3%)

sample7.1s (48.3%)

explain175.0ms (1.2%)

preprocess299.0ms (2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify198.0ms (1.3%)

localize52.0ms (0.4%)

series11.0ms (0.1%)

simplify137.0ms (0.9%)

rewrite186.0ms (1.3%)

eval593.0ms (4%)

prune9.0ms (0.1%)

simplify182.0ms (1.2%)

localize466.0ms (3.2%)

series78.0ms (0.5%)

simplify169.0ms (1.2%)

rewrite201.0ms (1.4%)

eval240.0ms (1.6%)

prune32.0ms (0.2%)

simplify167.0ms (1.1%)

localize309.0ms (2.1%)

series65.0ms (0.4%)

simplify165.0ms (1.1%)

rewrite250.0ms (1.7%)

eval196.0ms (1.3%)

prune47.0ms (0.3%)

simplify117.0ms (0.8%)

localize650.0ms (4.4%)

series112.0ms (0.8%)

simplify147.0ms (1%)

rewrite257.0ms (1.7%)

eval121.0ms (0.8%)

prune36.0ms (0.2%)

regimes33.0ms (0.2%)

regimes28.0ms (0.2%)

regimes26.0ms (0.2%)

regimes35.0ms (0.2%)

regimes18.0ms (0.1%)

regimes15.0ms (0.1%)

regimes27.0ms (0.2%)

regimes17.0ms (0.1%)

regimes9.0ms (0.1%)

regimes7.0ms (0%)

regimes9.0ms (0.1%)

regimes6.0ms (0%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

simplify89.0ms (0.6%)

soundness1.4s (9.8%)

preprocess102.0ms (0.7%)

end0.0ms (0%)

Profiling