Metrics for 2tan (problem 3.3.2)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze58.0ms (0.4%)

Memory

1.3MiB live, 56.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample7.1s (50.2%)

Memory

-92.8MiB live, 7 356.1MiB allocated

Samples

3.6s	26 356×	0	invalid
1.0s	5 060×	1	valid
437.0ms	3 196×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.7s

ival-tan: 687.0ms (18.8% of total)

const: 656.0ms (18% of total)

ival-add: 395.0ms (10.8% of total)

ival-<=: 382.0ms (10.5% of total)

ival-fabs: 328.0ms (9% of total)

ival-mult: 320.0ms (8.8% of total)

ival-sub: 264.0ms (7.2% of total)

ival-<: 238.0ms (6.5% of total)

adjust: 215.0ms (5.9% of total)

ival-and: 109.0ms (3% of total)

exact: 45.0ms (1.2% of total)

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

Bogosity

explain111.0ms (0.8%)

Memory

23.8MiB live, 215.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
223	3	(1.5205985533716885e-176 5.932949096031192e-179)	3	(4.829119669411114e-54 7.835149712215918e-56)	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
3	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	223	7
`tan.f64`	`(tan.f64 (+.f64 x eps))`	sensitivity	3	0

Confusion

	Predicted +	Predicted -
+	221	3
-	3	29

Precision

0.9866071428571429

Recall

0.9866071428571429

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	221	3	0
-	3	4	25

Precision?

0.9696969696969697

Recall?

1.0

Freqs

test

number	freq
0	32
1	222
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

42.0ms	304×	1	valid
13.0ms	206×	0	valid
4.0ms	2×	3	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-tan: 16.0ms (38.7% of total)

adjust: 12.0ms (29% of total)

ival-add: 7.0ms (16.9% of total)

ival-sub: 6.0ms (14.5% of total)

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

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

preprocess271.0ms (1.9%)

Memory

-24.1MiB live, 207.5MiB 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
▶	63.6%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify226.0ms (1.6%)

Memory

7.5MiB live, 243.3MiB 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)

localize53.0ms (0.4%)

Memory

14.9MiB live, 68.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x eps)
accuracy	0.0	(tan.f64 x)
accuracy	0.1677172782310725	(tan.f64 (+.f64 x eps))
accuracy	23.11260576893946	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Samples

41.0ms	152×	1	valid
5.0ms	103×	0	valid
2.0ms	1×	3	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

adjust: 21.0ms (65.8% of total)

ival-tan: 7.0ms (21.9% of total)

ival-add: 2.0ms (6.3% of total)

ival-sub: 2.0ms (6.3% of total)

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

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

series11.0ms (0.1%)

Memory

17.4MiB live, 17.4MiB allocated

Counts

4 → 31

Calls

Call 1

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

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

Calls

6 calls:

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

simplify134.0ms (0.9%)

Memory

9.7MiB live, 141.4MiB 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)))

rewrite221.0ms (1.6%)

Memory

12.2MiB live, 291.3MiB 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)))))

eval27.0ms (0.2%)

Memory: -20.5MiB live, 72.4MiB allocated
Compiler: Compiled 5 935 to 840 computations (85.8% saved)

prune15.0ms (0.1%)

Memory

-25.2MiB live, 30.7MiB allocated

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	171	12	183
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	171	13	184

Accuracy

100.0%

Counts

184 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.9%	(fma.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 3 binary64)))) (fma.f64 (.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x)))
▶	63.6%	(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
▶	63.9%	(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x))
	63.9%	(-.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 3 binary64)))) (fma.f64 (*.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (tan.f64 x))
	3.8%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))) (tan.f64 x))
▶	6.7%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
▶	6.6%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
✓	63.6%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) #s(literal -1/6 binary64)) eps) eps (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x))) eps eps))
▶	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 (neg.f64 eps) (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) (sin.f64 x)) #s(literal -1/3 binary64) (fma.f64 (.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (sin.f64 x) (.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) (sin.f64 x)) #s(literal -1/3 binary64)))) (cos.f64 x))) (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/6 binary64)))) eps) eps (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x))) eps eps))
	99.5%	#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))
	99.1%	#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))
	98.3%	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))

Compiler

Compiled 871 to 400 computations (54.1% saved)

simplify223.0ms (1.6%)

Memory

18.1MiB live, 247.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(tan.f64 eps)
cost-diff	0	(+.f64 (tan.f64 eps) (tan.f64 x))
cost-diff	0	(/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)))
cost-diff	0	(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x))
cost-diff	0	(+.f64 eps x)
cost-diff	0	(sin.f64 (-.f64 (+.f64 eps x) x))
cost-diff	0	(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
cost-diff	4	(-.f64 (+.f64 eps x) x)
cost-diff	0	(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 x eps)
cost-diff	0	(tan.f64 (+.f64 x eps))
cost-diff	0	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
cost-diff	2	(tan.f64 (+.f64 (PI.f64) x))
cost-diff	4	(fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/6 binary64)))
cost-diff	6	(fma.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)))
cost-diff	6	(fma.f64 (.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (sin.f64 x) (.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) (sin.f64 x)) #s(literal -1/3 binary64)))
cost-diff	10	(fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) (sin.f64 x)) #s(literal -1/3 binary64) (fma.f64 (.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (sin.f64 x) (.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) (sin.f64 x)) #s(literal -1/3 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	1346
0	130	1330
1	242	1234
2	634	1088
3	2985	1046
0	9039	1028

Stop Event

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

Calls

Call 1

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

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

localize754.0ms (5.3%)

Memory

12.5MiB live, 1 159.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 (tan.f64 x))
accuracy	0.0078125	(/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)))
accuracy	0.0078125	(+.f64 (tan.f64 eps) (tan.f64 x))
accuracy	23.11260576893946	(-.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))
accuracy	0.0078125	(*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
accuracy	0.01171875	(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
accuracy	0.1396741180528605	(cos.f64 (+.f64 eps x))
accuracy	23.242750589433882	(-.f64 (+.f64 eps x) x)
accuracy	0.033535009768442016	(+.f64 (+.f64 (PI.f64) x) (PI.f64))
accuracy	0.1677172782310725	(tan.f64 (+.f64 x eps))
accuracy	23.11260576893946	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
accuracy	59.487674991380715	(tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))
accuracy	0.015625	(+.f64 (PI.f64) x)
accuracy	0.1677172782310725	(tan.f64 (+.f64 x eps))
accuracy	23.11260576893946	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
accuracy	59.46792035028289	(tan.f64 (+.f64 (PI.f64) x))
accuracy	0.24613568028344596	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 (neg.f64 eps) (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) (sin.f64 x)) #s(literal -1/3 binary64) (fma.f64 (.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (sin.f64 x) (.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) (sin.f64 x)) #s(literal -1/3 binary64)))) (cos.f64 x))) (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/6 binary64)))) eps) eps (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x))) eps eps))
accuracy	0.35546875	(*.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) (sin.f64 x)) #s(literal -1/3 binary64))
accuracy	0.359375	(.f64 (-.f64 (.f64 (neg.f64 eps) (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) (sin.f64 x)) #s(literal -1/3 binary64) (fma.f64 (.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (sin.f64 x) (.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) (sin.f64 x)) #s(literal -1/3 binary64)))) (cos.f64 x))) (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/6 binary64)))) eps)
accuracy	0.984375	(fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/6 binary64)))

Samples

647.0ms	252×	1	valid
9.0ms	2×	2	valid
5.0ms	1×	3	valid
1.0ms	1×	0	valid

Compiler

Compiled 1 293 to 75 computations (94.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 568.0ms

ival-tan: 223.0ms (39.3% of total)

adjust: 116.0ms (20.4% of total)

ival-mult: 73.0ms (12.9% of total)

ival-div: 50.0ms (8.8% of total)

ival-add: 40.0ms (7% of total)

ival-pow2: 19.0ms (3.3% of total)

const: 15.0ms (2.6% of total)

ival-sub: 14.0ms (2.5% of total)

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

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

ival-neg: 3.0ms (0.5% of total)

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

exact: 1.0ms (0.2% of total)

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

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

series115.0ms (0.8%)

Memory

31.1MiB live, 177.1MiB allocated

Counts

26 → 162

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
29.0ms	x	@	-inf	((+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (+ (* (* (/ (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (cos x) 2)) (pow (sin x) 2)) (sin x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3))) (+ (* (* (/ (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (cos x) 2)) (pow (sin x) 2)) (sin x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3)) (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/2) (+ (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2)) 1/6)) (tan (+ (PI) x)) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (tan (+ (+ (PI) x) (PI))) (+ (+ (PI) x) (PI)) (- (tan (+ x eps)) (tan (+ (+ (PI) x) (PI)))) (- (+ eps x) x) (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (sin (- (+ eps x) x)) (+ eps x) (- (/ (+ (tan eps) (tan x)) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (/ (+ (tan eps) (tan x)) (+ (* (neg (tan x)) (tan eps)) 1)) (+ (tan eps) (tan x)) (tan eps) (* (- (* (neg eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (+ (* (* (/ (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (cos x) 2)) (pow (sin x) 2)) (sin x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3))) (cos x))) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/2) (+ (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2)) 1/6))) eps) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (- (tan (+ x eps)) (tan x)) (+ (PI) x) (cos (+ eps x)) (* (cos (+ eps x)) (cos x)) (neg (tan x)))
25.0ms	x	@	inf	((+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (+ (* (* (/ (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (cos x) 2)) (pow (sin x) 2)) (sin x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3))) (+ (* (* (/ (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (cos x) 2)) (pow (sin x) 2)) (sin x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3)) (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/2) (+ (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2)) 1/6)) (tan (+ (PI) x)) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (tan (+ (+ (PI) x) (PI))) (+ (+ (PI) x) (PI)) (- (tan (+ x eps)) (tan (+ (+ (PI) x) (PI)))) (- (+ eps x) x) (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (sin (- (+ eps x) x)) (+ eps x) (- (/ (+ (tan eps) (tan x)) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (/ (+ (tan eps) (tan x)) (+ (* (neg (tan x)) (tan eps)) 1)) (+ (tan eps) (tan x)) (tan eps) (* (- (* (neg eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (+ (* (* (/ (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (cos x) 2)) (pow (sin x) 2)) (sin x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3))) (cos x))) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/2) (+ (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2)) 1/6))) eps) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (- (tan (+ x eps)) (tan x)) (+ (PI) x) (cos (+ eps x)) (* (cos (+ eps x)) (cos x)) (neg (tan x)))
23.0ms	eps	@	0	((+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (+ (* (* (/ (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (cos x) 2)) (pow (sin x) 2)) (sin x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3))) (+ (* (* (/ (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (cos x) 2)) (pow (sin x) 2)) (sin x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3)) (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/2) (+ (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2)) 1/6)) (tan (+ (PI) x)) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (tan (+ (+ (PI) x) (PI))) (+ (+ (PI) x) (PI)) (- (tan (+ x eps)) (tan (+ (+ (PI) x) (PI)))) (- (+ eps x) x) (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (sin (- (+ eps x) x)) (+ eps x) (- (/ (+ (tan eps) (tan x)) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (/ (+ (tan eps) (tan x)) (+ (* (neg (tan x)) (tan eps)) 1)) (+ (tan eps) (tan x)) (tan eps) (* (- (* (neg eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (+ (* (* (/ (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (cos x) 2)) (pow (sin x) 2)) (sin x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3))) (cos x))) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/2) (+ (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2)) 1/6))) eps) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (- (tan (+ x eps)) (tan x)) (+ (PI) x) (cos (+ eps x)) (* (cos (+ eps x)) (cos x)) (neg (tan x)))
11.0ms	x	@	0	((+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (+ (* (* (/ (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (cos x) 2)) (pow (sin x) 2)) (sin x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3))) (+ (* (* (/ (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (cos x) 2)) (pow (sin x) 2)) (sin x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3)) (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/2) (+ (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2)) 1/6)) (tan (+ (PI) x)) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (tan (+ (+ (PI) x) (PI))) (+ (+ (PI) x) (PI)) (- (tan (+ x eps)) (tan (+ (+ (PI) x) (PI)))) (- (+ eps x) x) (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (sin (- (+ eps x) x)) (+ eps x) (- (/ (+ (tan eps) (tan x)) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (/ (+ (tan eps) (tan x)) (+ (* (neg (tan x)) (tan eps)) 1)) (+ (tan eps) (tan x)) (tan eps) (* (- (* (neg eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (+ (* (* (/ (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (cos x) 2)) (pow (sin x) 2)) (sin x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3))) (cos x))) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/2) (+ (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2)) 1/6))) eps) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (- (tan (+ x eps)) (tan x)) (+ (PI) x) (cos (+ eps x)) (* (cos (+ eps x)) (cos x)) (neg (tan x)))
11.0ms	eps	@	-inf	((+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (+ (* (* (/ (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (cos x) 2)) (pow (sin x) 2)) (sin x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3))) (+ (* (* (/ (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (cos x) 2)) (pow (sin x) 2)) (sin x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3)) (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/2) (+ (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2)) 1/6)) (tan (+ (PI) x)) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (tan (+ (+ (PI) x) (PI))) (+ (+ (PI) x) (PI)) (- (tan (+ x eps)) (tan (+ (+ (PI) x) (PI)))) (- (+ eps x) x) (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (sin (- (+ eps x) x)) (+ eps x) (- (/ (+ (tan eps) (tan x)) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (/ (+ (tan eps) (tan x)) (+ (* (neg (tan x)) (tan eps)) 1)) (+ (tan eps) (tan x)) (tan eps) (* (- (* (neg eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (+ (* (* (/ (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (cos x) 2)) (pow (sin x) 2)) (sin x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3))) (cos x))) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/2) (+ (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2)) 1/6))) eps) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (- (tan (+ x eps)) (tan x)) (+ (PI) x) (cos (+ eps x)) (* (cos (+ eps x)) (cos x)) (neg (tan x)))

simplify170.0ms (1.2%)

Memory

-60.5MiB live, 175.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	761	4260
1	2343	3942
0	8471	3753

Stop Event

1×	iter limit
1×	node limit

Counts

162 → 160

Calls

Call 1

Inputs
(* -2/3 x)
(* x (- (* -14/9 (pow x 2)) 2/3))
(* x (- (* (pow x 2) (- (* -331/180 (pow x 2)) 14/9)) 2/3))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -3071/1890 (pow x 2)) 331/180)) 14/9)) 2/3))
(* -1/3 x)
(* x (- (* -23/18 (pow x 2)) 1/3))
(* x (- (* (pow x 2) (- (* -601/360 (pow x 2)) 23/18)) 1/3))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -23183/15120 (pow x 2)) 601/360)) 23/18)) 1/3))
(* -5/6 (pow x 2))
(* (pow x 2) (- (* -13/18 (pow x 2)) 5/6))
(* (pow x 2) (- (* (pow x 2) (- (* -10/27 (pow x 2)) 13/18)) 5/6))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -373/1890 (pow x 2)) 10/27)) 13/18)) 5/6))
-1/3
(- (* -4/3 (pow x 2)) 1/3)
(- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/3)
(- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/3)
(/ (sin (PI)) (cos (PI)))
(+ (* x (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(+ (* x (- (+ 1 (/ (* x (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))))) (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI))))))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(- (/ (sin eps) (cos eps)) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (+ (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* x (- (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(/ (sin eps) (cos eps))
(+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
eps
(+ eps x)
(/ (sin (* 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 (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(sin eps)
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (* x (- (* x (- 1/3 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (* -1/3 (/ (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 (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (/ (sin eps) (cos eps)))
(* 1/3 eps)
(+ (* 1/3 eps) (* 2/3 (* (pow eps 2) x)))
(+ (* 1/3 eps) (* x (+ (* 2/3 (pow eps 2)) (* 4/3 (* eps x)))))
(+ (* 1/3 eps) (* x (+ (* 2/3 (pow eps 2)) (* x (+ (* -1 (* eps (* x (- (* -14/9 eps) (* 1/3 eps))))) (* 4/3 eps))))))
(* x (- (* -5/18 (pow x 2)) 1/3))
(* x (- (* (pow x 2) (- (* -61/360 (pow x 2)) 5/18)) 1/3))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -277/3024 (pow x 2)) 61/360)) 5/18)) 1/3))
(+ (* 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)))
(PI)
(+ x (PI))
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))
(* -1 x)
(* x (- (* -1/3 (pow x 2)) 1))
(* x (- (* (pow x 2) (- (* -2/15 (pow x 2)) 1/3)) 1))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/315 (pow x 2)) 2/15)) 1/3)) 1))
(+ (* -2/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))
(+ (* -1/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))
(+ (* 1/6 (pow (sin x) 2)) (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
(+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))))
(/ (sin (+ x (PI))) (cos (+ x (PI))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(/ (sin (+ eps x)) (cos (+ eps x)))
x
(* x (+ 1 (/ eps x)))
(/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))
(* x (+ 1 (* 2 (/ (PI) x))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(/ (sin eps) (* (cos x) (cos (+ eps x))))
(- (+ (/ (sin eps) (* (cos eps) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (/ (sin x) (cos x)))
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(* eps (- (* -1 (/ (* eps (+ (* -2/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) (cos x))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))))))
(* -1/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(* x (+ 1 (/ (PI) x)))
(cos (+ eps x))
(* (cos x) (cos (+ eps x)))
(* -1 (/ (sin x) (cos x)))
(/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x))))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x)))))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(/ (sin (- (* 2 (PI)) (* -1 x))) (cos (- (* 2 (PI)) (* -1 x))))
(* -1 (* x (- (* -2 (/ (PI) x)) 1)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin (- (* 2 (PI)) (* -1 x))) (cos (- (* 2 (PI)) (* -1 x)))))
(/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(* -1 (* x (- (* -1 (/ (PI) x)) 1)))
(cos (- eps (* -1 x)))
(* (cos x) (cos (- eps (* -1 x))))
(- (/ (sin x) (cos x)) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(/ (sin x) (cos x))
(+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(- (/ (sin x) (cos x)) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(- (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(- (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(/ eps (pow (cos x) 2))
(* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3))))
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))
(* eps (+ 1 (* -1/6 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* -1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* -1/3 (/ (sin x) (cos x))) (+ (* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ (* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (* -1/3 (/ (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 (/ (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 (+ 1 (* 1/3 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(* -1 (* eps (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))))))
(* eps (+ (* -1 (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))))) (* -1 (/ (* eps (+ (* -2/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) (cos x)))))
(* eps (- (+ 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)))))
(cos x)
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(pow (cos x) 2)
(+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2))
(* eps (+ 1 (/ x eps)))
(* -1 (/ (* (pow eps 2) (+ (* -2/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) eps)) (* -1 (/ (+ (* -2/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))) (cos x)))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))
(sin (neg (* -1 eps)))
(* -1 (* (pow eps 2) (+ (* -2/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 3)))))
(* (pow eps 2) (+ (* -1 (+ (* -2/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 3)))) (* -1 (/ (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) eps))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(cos (- x (* -1 eps)))
(* (cos x) (cos (- x (* -1 eps))))

Outputs
(* -2/3 x)
(*.f64 #s(literal -2/3 binary64) x)
(* x (- (* -14/9 (pow x 2)) 2/3))
(.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -14/9 binary64)) #s(literal 2/3 binary64)) x)
(* x (- (* (pow x 2) (- (* -331/180 (pow x 2)) 14/9)) 2/3))
(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -331/180 binary64) (*.f64 x x)) #s(literal 14/9 binary64)) x) x) #s(literal 2/3 binary64)) x)
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -3071/1890 (pow x 2)) 331/180)) 14/9)) 2/3))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -3071/1890 binary64) (.f64 x x)) #s(literal 331/180 binary64)) x) x) #s(literal 14/9 binary64)) (*.f64 x x)) #s(literal 2/3 binary64)) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* x (- (* -23/18 (pow x 2)) 1/3))
(.f64 (-.f64 (.f64 #s(literal -23/18 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)
(* x (- (* (pow x 2) (- (* -601/360 (pow x 2)) 23/18)) 1/3))
(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -601/360 binary64) (*.f64 x x)) #s(literal 23/18 binary64)) x) x) #s(literal 1/3 binary64)) x)
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(* eps (+ (* -1 (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))))) (* -1 (/ (* eps (+ (* -2/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) (cos x)))))
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(* 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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(fma.f64 (neg.f64 eps) (sin.f64 x) (cos.f64 x))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(fma.f64 (-.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps (cos.f64 x))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps (cos.f64 x))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2))
(fma.f64 (neg.f64 eps) (*.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2))
(fma.f64 (fma.f64 (.f64 eps #s(literal -1/2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))) eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2))
(fma.f64 (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 (cos.f64 x) eps)) (sin.f64 x) (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) eps)) eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(* eps (+ 1 (/ x eps)))
(fma.f64 (/.f64 x eps) eps eps)
(* -1 (/ (* (pow eps 2) (+ (* -2/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) (cos x)))
(.f64 (.f64 (neg.f64 eps) eps) (fma.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) (/.f64 (sin.f64 x) (cos.f64 x))) #s(literal -2/3 binary64) (*.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)))))
(* (pow eps 2) (+ (* -1 (/ (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) eps)) (* -1 (/ (+ (* -2/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))) (cos x)))))
(.f64 (neg.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) (/.f64 (sin.f64 x) (cos.f64 x))) #s(literal -2/3 binary64) (fma.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) (/.f64 (+.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/6 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)))) (.f64 eps eps))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64)))
(- (/ (sin (- x (* -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 (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(sin (neg (* -1 eps)))
(sin.f64 eps)
(* -1 (* (pow eps 2) (+ (* -2/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 3)))))
(.f64 (.f64 (neg.f64 eps) eps) (fma.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) (/.f64 (sin.f64 x) (cos.f64 x))) #s(literal -2/3 binary64) (*.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)))))
(* (pow eps 2) (+ (* -1 (+ (* -2/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 3)))) (* -1 (/ (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) eps))))
(.f64 (neg.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) (/.f64 (sin.f64 x) (cos.f64 x))) #s(literal -2/3 binary64) (fma.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) (/.f64 (+.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/6 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)))) (.f64 eps eps))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 eps x))
(* (cos x) (cos (- x (* -1 eps))))
(*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))

rewrite193.0ms (1.4%)

Memory

-5.3MiB live, 130.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	559
0	130	522
1	588	417
2	5436	417
0	8052	402

Stop Event

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

Counts

26 → 519

Calls

Call 1

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

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

eval133.0ms (0.9%)

Memory: -3.7MiB live, 138.3MiB allocated
Compiler: Compiled 38 998 to 3 457 computations (91.1% saved)

prune42.0ms (0.3%)

Memory

5.5MiB live, 50.8MiB allocated

Pruning

22 alts after pruning (19 fresh and 3 done)

	Pruned	Kept	Total
New	580	16	596
Fresh	4	3	7
Picked	3	2	5
Done	0	1	1
Total	587	22	609

Accuracy

100.0%

Counts

609 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.9%	(fma.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 3 binary64)))) (fma.f64 (.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x)))
▶	99.8%	(/.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (cos.f64 (+.f64 eps x))) (cos.f64 x))
▶	33.6%	(/.f64 (sin.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 eps eps (-.f64 #s(literal 0 binary64) (.f64 eps #s(literal 0 binary64)))))) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	99.5%	(/.f64 #s(approx (sin (- (+ eps x) x)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	63.9%	(-.f64 (/.f64 (/.f64 (fma.f64 (sin.f64 eps) (neg.f64 (cos.f64 x)) (.f64 (cos.f64 eps) (neg.f64 (sin.f64 x)))) (.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x))
✓	63.9%	(-.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))
	3.8%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))) (tan.f64 x))
✓	6.6%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
✓	63.6%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	62.9%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (+ (PI) x) (PI))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x)))
	62.7%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (+ (PI) x) (PI))) x))
▶	7.8%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (+ (PI) x) (PI))) #s(literal 0 binary64)))
	99.2%	(+.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (-.f64 (/.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x)))
	99.7%	(*.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (+.f64 (cos.f64 (+.f64 #s(literal 0 binary64) eps)) (cos.f64 (+.f64 (+.f64 eps x) x)))) #s(literal 2 binary64))
	99.6%	#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (fma.f64 (fma.f64 (fma.f64 (neg.f64 eps) (fma.f64 (neg.f64 (sin.f64 x)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 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 4 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (/.f64 (.f64 (sin.f64 x) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 1/2 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 4 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) eps (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (.f64 eps eps) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
	99.6%	#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (fma.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 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 4 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) eps) eps (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
	99.4%	#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (fma.f64 (*.f64 (sin.f64 x) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) eps (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
▶	99.1%	#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
	99.6%	#s(approx (- (/ (+ (tan eps) (tan x)) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) eps (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) (/.f64 (sin.f64 x) (cos.f64 x))))) eps (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) eps))
▶	99.5%	#s(approx (- (/ (+ (tan eps) (tan x)) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (*.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 eps (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) (/.f64 (sin.f64 x) (cos.f64 x))) #s(literal 1 binary64))) eps))
	98.3%	#s(approx (- (tan (+ x eps)) (tan (+ (+ (PI) x) (PI)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
	99.5%	#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))

Compiler

Compiled 1 272 to 720 computations (43.4% saved)

simplify113.0ms (0.8%)

Memory

-1.9MiB live, 135.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	364
0	89	297
1	182	291
2	451	291
3	1910	288
0	8757	279

Stop Event

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

Calls

Call 1

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

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

localize488.0ms (3.4%)

Memory

10.6MiB live, 401.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(pow.f64 (cos.f64 x) #s(literal 2 binary64))
accuracy	0.01171875	(/.f64 (sin.f64 x) (cos.f64 x))
accuracy	0.015625	(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))
accuracy	0.3444499396074856	#s(approx (- (/ (+ (tan eps) (tan x)) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (*.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 eps (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) (/.f64 (sin.f64 x) (cos.f64 x))) #s(literal 1 binary64))) eps))
accuracy	0.0078125	(*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
accuracy	0.01171875	(/.f64 (sin.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 eps eps (-.f64 #s(literal 0 binary64) (.f64 eps #s(literal 0 binary64)))))) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
accuracy	0.1396741180528605	(cos.f64 (+.f64 eps x))
accuracy	41.76221744144129	(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 eps eps (-.f64 #s(literal 0 binary64) (*.f64 eps #s(literal 0 binary64)))))
accuracy	0.0	(cos.f64 x)
accuracy	0.01171875	(pow.f64 (cos.f64 x) #s(literal 2 binary64))
accuracy	0.01171875	(/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
accuracy	0.5700956422345981	#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
accuracy	0.0	(+.f64 x eps)
accuracy	0.1677172782310725	(tan.f64 (+.f64 x eps))
accuracy	23.11260576893946	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (+ (PI) x) (PI))) #s(literal 0 binary64)))
accuracy	60.72294982616871	#s(approx (tan (+ (+ (PI) x) (PI))) #s(literal 0 binary64))
accuracy	0.0	(cos.f64 x)
accuracy	0.00390625	(/.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (cos.f64 (+.f64 eps x))) (cos.f64 x))
accuracy	0.00390625	(/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (cos.f64 (+.f64 eps x)))
accuracy	0.1396741180528605	(cos.f64 (+.f64 eps x))

Samples

238.0ms	193×	1	valid
168.0ms	61×	2	valid
3.0ms	1×	3	valid
1.0ms	1×	0	valid

Compiler

Compiled 335 to 55 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 356.0ms

adjust: 114.0ms (32% of total)

ival-tan: 80.0ms (22.5% of total)

ival-pow: 46.0ms (12.9% of total)

ival-add: 32.0ms (9% of total)

ival-div: 29.0ms (8.1% of total)

ival-mult: 21.0ms (5.9% of total)

ival-sin: 11.0ms (3.1% of total)

ival-sub: 8.0ms (2.2% of total)

ival-cos: 7.0ms (2% of total)

ival-pow2: 5.0ms (1.4% of total)

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

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

exact: 1.0ms (0.3% of total)

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

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

series66.0ms (0.5%)

Memory

10.2MiB live, 54.9MiB allocated

Counts

25 → 125

Calls

Call 1

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

Outputs
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* -1/2 (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (sin eps) (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* -1/2 (/ (sin eps) (cos eps))))) (cos eps)))))) (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* -1/2 (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(- (/ (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)))))
(+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
eps
(+ eps x)
(/ (sin (* 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)))))
(+ eps (* eps (pow x 2)))
(+ eps (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 eps) (* 1/3 eps)))) (* -1 eps))))
(+ eps (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 eps) (+ (* -2/45 eps) (* 2/3 eps))))) (+ (* -1 eps) (* 1/3 eps)))) (* -1 eps))))
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)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+ 1 (* eps x))
(+ 1 (* x (+ eps x)))
(+ 1 (* x (+ eps (* x (+ 1 (* 4/3 (* eps x)))))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ eps (* (pow eps 2) x))
(+ eps (* x (+ (* eps x) (pow eps 2))))
(+ eps (* x (+ (* x (+ eps (* 4/3 (* (pow eps 2) x)))) (pow eps 2))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))
(pow x 3)
(* (pow x 3) (+ 1 (pow x 2)))
(* (pow x 3) (+ 1 (* (pow x 2) (+ 1 (* 11/15 (pow x 2))))))
(* (pow x 3) (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 11/15 (* 88/189 (pow x 2))))))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(/ (sin eps) (* (cos x) (cos (+ eps x))))
(/ (sin eps) (cos (+ eps x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(/ (sin (+ eps x)) (cos (+ eps x)))
(* x (+ 1 (/ eps x)))
(/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))
(/ eps (pow (cos x) 2))
(pow (cos x) 2)
(cos x)
(+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(- (+ (/ (sin eps) (* (cos eps) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (/ (sin x) (cos x)))
(* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(sin x)
(cos (+ eps x))
(* (cos x) (cos (+ eps x)))
(/ (pow (sin x) 3) (pow (cos x) 3))
(/ (sin x) (cos x))
(/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))
(/ (sin eps) (cos (- eps (* -1 x))))
(- (/ (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))))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(/ (sin (- (* 2 (PI)) (* -1 x))) (cos (- (* 2 (PI)) (* -1 x))))
(cos (- eps (* -1 x)))
(* (cos x) (cos (- eps (* -1 x))))
(* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3))))
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))
(/ eps (cos x))
(* eps (+ (/ 1 (cos x)) (/ (* eps (sin x)) (pow (cos x) 2))))
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (cos x))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))) (* 1/6 (/ 1 (cos x)))))) (* -1 (/ (sin x) (pow (cos x) 2))))) (/ 1 (cos x))))
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (cos x))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))) (* 1/6 (/ 1 (cos x)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 2))) (* 1/6 (/ (sin x) (pow (cos x) 2))))))) (* 1/2 (/ 1 (cos x)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))) (* 1/6 (/ 1 (cos x)))))) (* -1 (/ (sin x) (pow (cos x) 2))))) (/ 1 (cos x))))
(* eps (+ 1 (* -1/6 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(- (/ (sin x) (cos x)) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(- (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(- (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(pow eps 3)
0
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* -1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* -1/3 (/ (sin x) (cos x))) (+ (* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2))
(sin eps)
(* eps (+ 1 (/ x eps)))
(* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* eps (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))
(* (pow eps 2) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))
(/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))
(/ (sin (neg (* -1 eps))) (cos (- x (* -1 eps))))
(sin (neg (* -1 eps)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (+ (* -1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)))))
(cos (- x (* -1 eps)))
(/ (sin eps) (* (cos x) (cos (- x (* -1 eps)))))
(* (cos x) (cos (- x (* -1 eps))))

Calls

6 calls:

Time	Variable		Point	Expression
32.0ms	eps	@	0	((+ 0 eps) (/ (/ (sin (+ 0 eps)) (cos (+ eps x))) (cos x)) (/ (sin (+ 0 eps)) (cos (+ eps x))) (sin (+ 0 eps)) (- (tan (+ x eps)) (tan (+ (+ (PI) x) (PI)))) (tan (+ x eps)) (+ x eps) (tan (+ (+ (PI) x) (PI))) (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/ eps (pow (cos x) 2)) (pow (cos x) 2) (cos x) (/ (+ (pow eps 3) 0) (+ (* eps eps) (- 0 (* eps 0)))) (+ (pow eps 3) 0) (- 0 (* eps 0)) (* eps 0) (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) (+ (* eps (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x)))) 1)) (- (/ (+ (tan eps) (tan x)) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) (+ (* eps (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x)))) 1)) eps) (sin x) (cos (+ eps x)) (/ (sin (/ (+ (pow eps 3) 0) (+ (* eps eps) (- 0 (* eps 0))))) (* (cos (+ eps x)) (cos x))) (* (cos (+ eps x)) (cos x)) (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x)))
8.0ms	eps	@	-inf	((+ 0 eps) (/ (/ (sin (+ 0 eps)) (cos (+ eps x))) (cos x)) (/ (sin (+ 0 eps)) (cos (+ eps x))) (sin (+ 0 eps)) (- (tan (+ x eps)) (tan (+ (+ (PI) x) (PI)))) (tan (+ x eps)) (+ x eps) (tan (+ (+ (PI) x) (PI))) (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/ eps (pow (cos x) 2)) (pow (cos x) 2) (cos x) (/ (+ (pow eps 3) 0) (+ (* eps eps) (- 0 (* eps 0)))) (+ (pow eps 3) 0) (- 0 (* eps 0)) (* eps 0) (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) (+ (* eps (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x)))) 1)) (- (/ (+ (tan eps) (tan x)) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) (+ (* eps (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x)))) 1)) eps) (sin x) (cos (+ eps x)) (/ (sin (/ (+ (pow eps 3) 0) (+ (* eps eps) (- 0 (* eps 0))))) (* (cos (+ eps x)) (cos x))) (* (cos (+ eps x)) (cos x)) (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x)))
7.0ms	eps	@	inf	((+ 0 eps) (/ (/ (sin (+ 0 eps)) (cos (+ eps x))) (cos x)) (/ (sin (+ 0 eps)) (cos (+ eps x))) (sin (+ 0 eps)) (- (tan (+ x eps)) (tan (+ (+ (PI) x) (PI)))) (tan (+ x eps)) (+ x eps) (tan (+ (+ (PI) x) (PI))) (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/ eps (pow (cos x) 2)) (pow (cos x) 2) (cos x) (/ (+ (pow eps 3) 0) (+ (* eps eps) (- 0 (* eps 0)))) (+ (pow eps 3) 0) (- 0 (* eps 0)) (* eps 0) (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) (+ (* eps (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x)))) 1)) (- (/ (+ (tan eps) (tan x)) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) (+ (* eps (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x)))) 1)) eps) (sin x) (cos (+ eps x)) (/ (sin (/ (+ (pow eps 3) 0) (+ (* eps eps) (- 0 (* eps 0))))) (* (cos (+ eps x)) (cos x))) (* (cos (+ eps x)) (cos x)) (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x)))
6.0ms	x	@	inf	((+ 0 eps) (/ (/ (sin (+ 0 eps)) (cos (+ eps x))) (cos x)) (/ (sin (+ 0 eps)) (cos (+ eps x))) (sin (+ 0 eps)) (- (tan (+ x eps)) (tan (+ (+ (PI) x) (PI)))) (tan (+ x eps)) (+ x eps) (tan (+ (+ (PI) x) (PI))) (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/ eps (pow (cos x) 2)) (pow (cos x) 2) (cos x) (/ (+ (pow eps 3) 0) (+ (* eps eps) (- 0 (* eps 0)))) (+ (pow eps 3) 0) (- 0 (* eps 0)) (* eps 0) (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) (+ (* eps (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x)))) 1)) (- (/ (+ (tan eps) (tan x)) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) (+ (* eps (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x)))) 1)) eps) (sin x) (cos (+ eps x)) (/ (sin (/ (+ (pow eps 3) 0) (+ (* eps eps) (- 0 (* eps 0))))) (* (cos (+ eps x)) (cos x))) (* (cos (+ eps x)) (cos x)) (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x)))
6.0ms	x	@	-inf	((+ 0 eps) (/ (/ (sin (+ 0 eps)) (cos (+ eps x))) (cos x)) (/ (sin (+ 0 eps)) (cos (+ eps x))) (sin (+ 0 eps)) (- (tan (+ x eps)) (tan (+ (+ (PI) x) (PI)))) (tan (+ x eps)) (+ x eps) (tan (+ (+ (PI) x) (PI))) (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/ eps (pow (cos x) 2)) (pow (cos x) 2) (cos x) (/ (+ (pow eps 3) 0) (+ (* eps eps) (- 0 (* eps 0)))) (+ (pow eps 3) 0) (- 0 (* eps 0)) (* eps 0) (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) (+ (* eps (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x)))) 1)) (- (/ (+ (tan eps) (tan x)) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) (+ (* eps (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x)))) 1)) eps) (sin x) (cos (+ eps x)) (/ (sin (/ (+ (pow eps 3) 0) (+ (* eps eps) (- 0 (* eps 0))))) (* (cos (+ eps x)) (cos x))) (* (cos (+ eps x)) (cos x)) (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x)))

simplify181.0ms (1.3%)

Memory

-0.2MiB live, 182.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	604	3137
1	2043	2923
2	7846	2570
0	8306	2429

Stop Event

1×	iter limit
1×	node limit

Counts

125 → 123

Calls

Call 1

Inputs
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* -1/2 (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (sin eps) (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* -1/2 (/ (sin eps) (cos eps))))) (cos eps)))))) (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* -1/2 (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(- (/ (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)))))
(+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
eps
(+ eps x)
(/ (sin (* 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)))))
(+ eps (* eps (pow x 2)))
(+ eps (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 eps) (* 1/3 eps)))) (* -1 eps))))
(+ eps (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 eps) (+ (* -2/45 eps) (* 2/3 eps))))) (+ (* -1 eps) (* 1/3 eps)))) (* -1 eps))))
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)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+ 1 (* eps x))
(+ 1 (* x (+ eps x)))
(+ 1 (* x (+ eps (* x (+ 1 (* 4/3 (* eps x)))))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ eps (* (pow eps 2) x))
(+ eps (* x (+ (* eps x) (pow eps 2))))
(+ eps (* x (+ (* x (+ eps (* 4/3 (* (pow eps 2) x)))) (pow eps 2))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))
(pow x 3)
(* (pow x 3) (+ 1 (pow x 2)))
(* (pow x 3) (+ 1 (* (pow x 2) (+ 1 (* 11/15 (pow x 2))))))
(* (pow x 3) (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 11/15 (* 88/189 (pow x 2))))))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(/ (sin eps) (* (cos x) (cos (+ eps x))))
(/ (sin eps) (cos (+ eps x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(/ (sin (+ eps x)) (cos (+ eps x)))
(* x (+ 1 (/ eps x)))
(/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))
(/ eps (pow (cos x) 2))
(pow (cos x) 2)
(cos x)
(+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(- (+ (/ (sin eps) (* (cos eps) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (/ (sin x) (cos x)))
(* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(sin x)
(cos (+ eps x))
(* (cos x) (cos (+ eps x)))
(/ (pow (sin x) 3) (pow (cos x) 3))
(/ (sin x) (cos x))
(/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))
(/ (sin eps) (cos (- eps (* -1 x))))
(- (/ (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))))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(/ (sin (- (* 2 (PI)) (* -1 x))) (cos (- (* 2 (PI)) (* -1 x))))
(cos (- eps (* -1 x)))
(* (cos x) (cos (- eps (* -1 x))))
(* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3))))
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))
(/ eps (cos x))
(* eps (+ (/ 1 (cos x)) (/ (* eps (sin x)) (pow (cos x) 2))))
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (cos x))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))) (* 1/6 (/ 1 (cos x)))))) (* -1 (/ (sin x) (pow (cos x) 2))))) (/ 1 (cos x))))
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (cos x))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))) (* 1/6 (/ 1 (cos x)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 2))) (* 1/6 (/ (sin x) (pow (cos x) 2))))))) (* 1/2 (/ 1 (cos x)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))) (* 1/6 (/ 1 (cos x)))))) (* -1 (/ (sin x) (pow (cos x) 2))))) (/ 1 (cos x))))
(* eps (+ 1 (* -1/6 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(- (/ (sin x) (cos x)) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(- (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(- (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(pow eps 3)
0
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* -1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* -1/3 (/ (sin x) (cos x))) (+ (* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2))
(sin eps)
(* eps (+ 1 (/ x eps)))
(* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* eps (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))
(* (pow eps 2) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))
(/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))
(/ (sin (neg (* -1 eps))) (cos (- x (* -1 eps))))
(sin (neg (* -1 eps)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (+ (* -1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)))))
(cos (- x (* -1 eps)))
(/ (sin eps) (* (cos x) (cos (- x (* -1 eps)))))
(* (cos x) (cos (- x (* -1 eps))))

Outputs
(/ (sin eps) (cos eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 x (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (*.f64 (fma.f64 (sin.f64 eps) (fma.f64 (sin.f64 eps) (/.f64 #s(literal 2/3 binary64) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) (cos.f64 eps))) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* -1/2 (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (/.f64 (neg.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))) (+ (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (sin eps) (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* -1/2 (/ (sin eps) (cos eps))))) (cos eps)))))) (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* -1/2 (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(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 -1/3 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) #s(literal 3 binary64))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (cos.f64 eps))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(- (/ (sin eps) (cos eps)) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 0 binary64))
(- (+ (* 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 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 0 binary64)) x (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 0 binary64)))
(- (+ (* 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 (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)) #s(literal 0 binary64)) x (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 0 binary64))) x (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 0 binary64)))
(- (+ (* 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)))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1/6 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))) x (fma.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)) #s(literal 0 binary64))) x (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 0 binary64))) x (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 0 binary64)))
(+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps))) x (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 eps)) (sin.f64 eps) (.f64 (neg.f64 x) (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (+.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1/6 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) #s(literal 1/6 binary64))))) x (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
eps
(+ eps x)
(+.f64 x eps)
(/ (sin (* 2 (PI))) (cos (* 2 (PI))))
#s(literal 0 binary64)
(+ (* x (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))
(+.f64 #s(literal 0 binary64) x)
(+ (* 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 #s(literal 0 binary64) x #s(literal 1 binary64)) x #s(literal 0 binary64))
(+ (* 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 #s(literal 1/3 binary64) x #s(literal 0 binary64)) x #s(literal 1 binary64)) x #s(literal 0 binary64))
(+ eps (* eps (pow x 2)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) eps)
(+ eps (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 eps) (* 1/3 eps)))) (* -1 eps))))
(fma.f64 (fma.f64 (.f64 (.f64 (neg.f64 eps) x) x) #s(literal -2/3 binary64) eps) (*.f64 x x) eps)
(+ eps (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 eps) (+ (* -2/45 eps) (* 2/3 eps))))) (+ (* -1 eps) (* 1/3 eps)))) (* -1 eps))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 x) x) (.f64 eps #s(literal -17/45 binary64)) (.f64 (neg.f64 eps) #s(literal -2/3 binary64))) (.f64 x x) eps) (*.f64 x x) eps)
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))
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* eps x))
(fma.f64 x eps #s(literal 1 binary64))
(+ 1 (* x (+ eps x)))
(fma.f64 (+.f64 x eps) x #s(literal 1 binary64))
(+ 1 (* x (+ eps (* x (+ 1 (* 4/3 (* eps x)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) (*.f64 x eps) #s(literal 1 binary64)) x eps) x #s(literal 1 binary64))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (*.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal -1/3 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64))) (pow.f64 (cos.f64 eps) #s(literal 4 binary64)))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.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)))
(+ eps (* (pow eps 2) x))
(fma.f64 (*.f64 eps eps) x eps)
(+ eps (* x (+ (* eps x) (pow eps 2))))
(fma.f64 (*.f64 eps (+.f64 x eps)) x eps)
(+ eps (* x (+ (* x (+ eps (* 4/3 (* (pow eps 2) x)))) (pow eps 2))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 4/3 binary64) eps) x (*.f64 eps eps)) x eps)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x)
(cos eps)
(cos.f64 eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 eps)) x) (sin.f64 eps)) x (cos.f64 eps))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))) x) (sin.f64 eps)) x (cos.f64 eps))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))
(fma.f64 (neg.f64 x) (fma.f64 (cos.f64 eps) x (sin.f64 eps)) (cos.f64 eps))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal 2/3 binary64) (neg.f64 (cos.f64 eps))) x (neg.f64 (sin.f64 eps))) x (cos.f64 eps))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (+ 1 (pow x 2)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) x (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1 (* (pow x 2) (+ 1 (* 11/15 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 11/15 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 11/15 (* 88/189 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 88/189 binary64) (.f64 x x) #s(literal 11/15 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* 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 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(/ (sin eps) (* (cos x) (cos (+ eps x))))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(/ (sin eps) (cos (+ eps x)))
(/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
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(* eps (+ (/ 1 (cos x)) (/ (* eps (sin x)) (pow (cos x) 2))))
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(* eps (+ 1 (* -1/6 (pow eps 2))))
(fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/6 binary64) eps)
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(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps)
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(* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* -1/3 (/ (sin x) (cos x))) (+ (* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(fma.f64 (*.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2))
(fma.f64 (fma.f64 (neg.f64 (cos.f64 x)) (sin.f64 x) (.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) eps) #s(literal -1/2 binary64))) eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2))
(fma.f64 (fma.f64 (neg.f64 (cos.f64 x)) (sin.f64 x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 (cos.f64 x) eps)) (sin.f64 x) (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) eps)) eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(sin eps)
(sin.f64 eps)
(* eps (+ 1 (/ x eps)))
(fma.f64 (/.f64 x eps) eps eps)
(* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(*.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) (/.f64 (sin.f64 x) (cos.f64 x))) eps)
(* eps (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))
(fma.f64 (fma.f64 (/.f64 (sin.f64 x) eps) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) (/.f64 (sin.f64 x) (cos.f64 x)))) eps #s(literal 1 binary64))
(* (pow eps 2) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(.f64 (.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) (/.f64 (sin.f64 x) (cos.f64 x))) eps) eps)
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))
(fma.f64 (*.f64 (fma.f64 (/.f64 (sin.f64 x) eps) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) (/.f64 (sin.f64 x) (cos.f64 x)))) eps) eps eps)
(/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(/ (sin (neg (* -1 eps))) (cos (- x (* -1 eps))))
(/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps)))
(sin (neg (* -1 eps)))
(sin.f64 eps)
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (cos.f64 x)))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(*.f64 (-.f64 (/.f64 x (neg.f64 eps)) #s(literal 1 binary64)) (neg.f64 eps))
(* -1 (* eps (+ (* -1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)))))
(*.f64 eps (+.f64 (/.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps) (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) (/.f64 (sin.f64 x) (cos.f64 x)))))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 x eps))
(/ (sin eps) (* (cos x) (cos (- x (* -1 eps)))))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(* (cos x) (cos (- x (* -1 eps))))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))

rewrite209.0ms (1.5%)

Memory

-12.5MiB live, 286.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	57	264
0	89	190
1	460	161
2	4355	161
0	8062	161

Stop Event

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

Counts

25 → 556

Calls

Call 1

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

Outputs
(.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 eps #s(literal 4 binary64))) (.f64 eps eps))
(*.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64))) (+.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 0 binary64)))
(.f64 (pow.f64 eps #s(literal 3/2 binary64)) (/.f64 (pow.f64 eps #s(literal 3/2 binary64)) (.f64 eps eps)))
(.f64 (.f64 eps eps) (/.f64 eps (*.f64 eps eps)))
(.f64 eps (/.f64 (.f64 eps eps) (*.f64 eps eps)))
(/.f64 (neg.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) (neg.f64 (neg.f64 (*.f64 eps eps))))
(/.f64 (neg.f64 (neg.f64 (*.f64 eps eps))) eps)
(/.f64 (neg.f64 (*.f64 (+.f64 (+.f64 x eps) x) eps)) (neg.f64 (+.f64 (+.f64 x eps) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 (+.f64 x eps) x) (pow.f64 (+.f64 x eps) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (.f64 eps eps) (.f64 (neg.f64 (.f64 eps eps)) #s(literal 0 binary64))) (.f64 (neg.f64 (.f64 eps eps)) (.f64 eps eps)))
(/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 eps eps) #s(literal 0 binary64)) (pow.f64 eps #s(literal 4 binary64)))
(/.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (neg.f64 (*.f64 eps eps)))
(/.f64 (*.f64 (+.f64 (+.f64 x eps) x) eps) (+.f64 (+.f64 x eps) x))
(/.f64 (neg.f64 (*.f64 eps eps)) (neg.f64 eps))
(/.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 (+.f64 x eps) x) (pow.f64 (+.f64 x eps) #s(literal 2 binary64))))
(/.f64 (pow.f64 eps #s(literal 6 binary64)) (.f64 (pow.f64 eps #s(literal 3 binary64)) (.f64 eps eps)))
(/.f64 (pow.f64 eps #s(literal 9 binary64)) (.f64 (pow.f64 eps #s(literal 6 binary64)) (.f64 eps eps)))
(/.f64 (*.f64 eps eps) (-.f64 eps #s(literal 0 binary64)))
(/.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 eps eps))
(neg.f64 (neg.f64 eps))
(fma.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 eps #s(literal 4 binary64))) (*.f64 eps eps) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64))) (+.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 eps #s(literal 3/2 binary64)) (/.f64 (pow.f64 eps #s(literal 3/2 binary64)) (*.f64 eps eps)) #s(literal 0 binary64))
(fma.f64 (.f64 eps eps) (/.f64 eps (.f64 eps eps)) #s(literal 0 binary64))
(fma.f64 eps (/.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 eps)) (/.f64 (*.f64 eps eps) (neg.f64 eps)))
(-.f64 (/.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (+.f64 (+.f64 x eps) x)) (/.f64 (*.f64 x x) (+.f64 (+.f64 x eps) x)))
(-.f64 (/.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) (fma.f64 x (+.f64 (+.f64 x eps) x) (pow.f64 (+.f64 x eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 (+.f64 x eps) x) (pow.f64 (+.f64 x eps) #s(literal 2 binary64)))))
(-.f64 (+.f64 x eps) x)
(+.f64 x (-.f64 eps x))
(+.f64 eps #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) eps)
eps
(*.f64 (/.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) (cos.f64 (+.f64 (+.f64 x eps) x)))) #s(literal 2 binary64))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (neg.f64 (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))))
(/.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
(/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps))))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps))) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(neg.f64 (/.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 (+.f64 x eps))) (cos.f64 x)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(neg.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x))))
(neg.f64 (/.f64 (sin.f64 eps) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))))
(-.f64 (/.f64 (.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) (/.f64 (.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(+.f64 (/.f64 (.f64 (cos.f64 eps) #s(literal 0 binary64)) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) (/.f64 (.f64 #s(literal 1 binary64) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (neg.f64 (neg.f64 (cos.f64 (+.f64 x eps)))))
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 (+.f64 x eps))))
(-.f64 (/.f64 (.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x)) (cos.f64 (+.f64 x eps))) (/.f64 (.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (cos.f64 (+.f64 x eps))))
(+.f64 (/.f64 (.f64 (cos.f64 eps) #s(literal 0 binary64)) (cos.f64 (+.f64 x eps))) (/.f64 (.f64 #s(literal 1 binary64) (sin.f64 eps)) (cos.f64 (+.f64 x eps))))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x)) (.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x))) (.f64 (.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))))) (sin.f64 (+.f64 (+.f64 x eps) x)))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 eps) #s(literal 0 binary64)) (.f64 (cos.f64 eps) #s(literal 0 binary64))) (.f64 (.f64 #s(literal 1 binary64) (sin.f64 eps)) (.f64 #s(literal 1 binary64) (sin.f64 eps)))) (neg.f64 (sin.f64 eps)))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x)) (.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (.f64 (.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (sin.f64 eps)) #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 eps) #s(literal 0 binary64)) (.f64 (cos.f64 eps) #s(literal 0 binary64)) (-.f64 (.f64 (.f64 #s(literal 1 binary64) (sin.f64 eps)) (.f64 #s(literal 1 binary64) (sin.f64 eps))) (.f64 (.f64 (cos.f64 eps) #s(literal 0 binary64)) (.f64 #s(literal 1 binary64) (sin.f64 eps))))))
(fma.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x) (*.f64 (neg.f64 (cos.f64 (+.f64 x eps))) (sin.f64 x)))
(fma.f64 (cos.f64 eps) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (sin.f64 eps)))
(fma.f64 #s(literal 1 binary64) (sin.f64 eps) (*.f64 (cos.f64 eps) #s(literal 0 binary64)))
(fma.f64 (sin.f64 x) (cos.f64 (-.f64 eps x)) (*.f64 (cos.f64 x) (sin.f64 (-.f64 eps x))))
(fma.f64 (cos.f64 x) (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (cos.f64 (+.f64 x eps))) (sin.f64 x)))
(fma.f64 (sin.f64 eps) #s(literal 1 binary64) (*.f64 (cos.f64 eps) #s(literal 0 binary64)))
(fma.f64 #s(literal 0 binary64) (cos.f64 eps) (*.f64 #s(literal 1 binary64) (sin.f64 eps)))
(sin.f64 eps)
(-.f64 (.f64 (sin.f64 (/.f64 #s(literal 0 binary64) (neg.f64 eps))) (cos.f64 (/.f64 (.f64 eps eps) (neg.f64 eps)))) (.f64 (cos.f64 (/.f64 #s(literal 0 binary64) (neg.f64 eps))) (sin.f64 (/.f64 (.f64 eps eps) (neg.f64 eps)))))
(-.f64 (.f64 (sin.f64 (/.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (+.f64 (+.f64 x eps) x))) (cos.f64 (/.f64 (.f64 x x) (+.f64 (+.f64 x eps) x)))) (.f64 (cos.f64 (/.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (+.f64 (+.f64 x eps) x))) (sin.f64 (/.f64 (.f64 x x) (+.f64 (+.f64 x eps) x)))))
(-.f64 (.f64 (sin.f64 (/.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) (fma.f64 x (+.f64 (+.f64 x eps) x) (pow.f64 (+.f64 x eps) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 (+.f64 x eps) x) (pow.f64 (+.f64 x eps) #s(literal 2 binary64)))))) (.f64 (cos.f64 (/.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) (fma.f64 x (+.f64 (+.f64 x eps) x) (pow.f64 (+.f64 x eps) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 (+.f64 x eps) x) (pow.f64 (+.f64 x eps) #s(literal 2 binary64)))))))
(-.f64 (.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x)) (.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))))
(-.f64 (.f64 (cos.f64 eps) #s(literal 0 binary64)) (.f64 #s(literal -1 binary64) (sin.f64 eps)))
(+.f64 (.f64 (sin.f64 x) (cos.f64 (-.f64 eps x))) (.f64 (cos.f64 x) (sin.f64 (-.f64 eps x))))
(+.f64 (.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x)) (.f64 (neg.f64 (cos.f64 (+.f64 x eps))) (sin.f64 x)))
(+.f64 (.f64 #s(literal 1 binary64) (sin.f64 eps)) (.f64 (cos.f64 eps) #s(literal 0 binary64)))
(+.f64 (.f64 (cos.f64 eps) #s(literal 0 binary64)) (.f64 #s(literal 1 binary64) (sin.f64 eps)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 #s(approx (tan (+ (+ (PI) x) (PI))) #s(literal 0 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (+ (PI) x) (PI))) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 #s(approx (tan (+ (+ (PI) x) (PI))) #s(literal 0 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (tan (+ (+ (PI) x) (PI))) #s(literal 0 binary64)) (+.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (+ (PI) x) (PI))) #s(literal 0 binary64))) (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)))))
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eps
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(neg.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x))))
(neg.f64 (/.f64 (sin.f64 eps) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))))
(-.f64 (/.f64 (.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) (/.f64 (.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(+.f64 (/.f64 (.f64 (cos.f64 eps) #s(literal 0 binary64)) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) (/.f64 (.f64 #s(literal 1 binary64) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (neg.f64 (+.f64 x eps))))) (sin.f64 (+.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (neg.f64 (+.f64 x eps)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (+.f64 x eps)))) (sin.f64 (+.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (+.f64 x eps))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 x eps))) (sin.f64 (+.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 x eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (neg.f64 (neg.f64 (+.f64 x eps))))) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (neg.f64 (neg.f64 (+.f64 x eps)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 (+.f64 x eps)) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (neg.f64 x)))) (sin.f64 (+.f64 (+.f64 (neg.f64 (+.f64 x eps)) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 (+.f64 x eps)) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 x))) (sin.f64 (+.f64 (+.f64 (neg.f64 (+.f64 x eps)) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 (+.f64 x eps)) (/.f64 (PI.f64) #s(literal 2 binary64))) x)) (sin.f64 (+.f64 (+.f64 (neg.f64 (+.f64 x eps)) (/.f64 (PI.f64) #s(literal 2 binary64))) x))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (neg.f64 (neg.f64 x)))) (sin.f64 (+.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (neg.f64 (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 (+.f64 x eps)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 (+.f64 x eps)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))) (cos.f64 (+.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (neg.f64 (+.f64 x eps)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (neg.f64 (+.f64 x eps)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 (+.f64 x eps)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (neg.f64 (+.f64 x eps)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 (+.f64 x eps)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) (cos.f64 (+.f64 (+.f64 (neg.f64 (+.f64 x eps)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (+.f64 x eps))))) (cos.f64 (-.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (+.f64 x eps)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 x)) (neg.f64 (+.f64 x eps)))) (cos.f64 (-.f64 (neg.f64 (neg.f64 x)) (neg.f64 (+.f64 x eps))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 x)) (+.f64 x eps))) (cos.f64 (-.f64 (neg.f64 (neg.f64 x)) (+.f64 x eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 x) (neg.f64 (neg.f64 (+.f64 x eps))))) (cos.f64 (-.f64 (neg.f64 x) (neg.f64 (neg.f64 (+.f64 x eps)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 x (neg.f64 (neg.f64 (+.f64 x eps))))) (cos.f64 (-.f64 x (neg.f64 (neg.f64 (+.f64 x eps)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 x eps))) (neg.f64 (neg.f64 x)))) (cos.f64 (-.f64 (neg.f64 (neg.f64 (+.f64 x eps))) (neg.f64 (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 x eps))) (neg.f64 x))) (cos.f64 (-.f64 (neg.f64 (neg.f64 (+.f64 x eps))) (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 x eps))) x)) (cos.f64 (-.f64 (neg.f64 (neg.f64 (+.f64 x eps))) x))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (+.f64 x eps)) (neg.f64 (neg.f64 x)))) (cos.f64 (-.f64 (neg.f64 (+.f64 x eps)) (neg.f64 (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 x eps) (neg.f64 (neg.f64 x)))) (cos.f64 (-.f64 (+.f64 x eps) (neg.f64 (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (cos.f64 eps) (cos.f64 (+.f64 (+.f64 x eps) x)))) #s(literal -2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 x) (neg.f64 (+.f64 x eps)))) (cos.f64 (-.f64 (neg.f64 x) (neg.f64 (+.f64 x eps))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 x) (+.f64 x eps))) (cos.f64 (-.f64 (neg.f64 x) (+.f64 x eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (neg.f64 x))) (sin.f64 (+.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) x)) (sin.f64 (+.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) x))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) (cos.f64 (+.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 x (neg.f64 (+.f64 x eps)))) (cos.f64 (-.f64 x (neg.f64 (+.f64 x eps))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 x eps) x)) (cos.f64 (-.f64 x (+.f64 x eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (+.f64 x eps)) (neg.f64 x))) (cos.f64 (-.f64 (neg.f64 (+.f64 x eps)) (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (+.f64 x eps)) x)) (cos.f64 (-.f64 (neg.f64 (+.f64 x eps)) x))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 x eps) (neg.f64 x))) (cos.f64 (-.f64 (+.f64 x eps) (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 eps) (cos.f64 (+.f64 (+.f64 x eps) x))) #s(literal 2 binary64))
(+.f64 (/.f64 (cos.f64 (+.f64 (+.f64 x eps) x)) #s(literal 2 binary64)) (/.f64 (cos.f64 eps) #s(literal 2 binary64)))
(*.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (tan.f64 x) #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 (tan.f64 x) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (tan.f64 x) #s(literal 3/2 binary64)) (pow.f64 (tan.f64 x) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (tan.f64 x))
(*.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (log.f64 (tan.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (tan.f64 x) #s(literal 3 binary64))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (neg.f64 (cos.f64 x)))
(/.f64 (.f64 (+.f64 (tan.f64 x) #s(literal 0 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(literal 0 binary64))))
(/.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (tan.f64 x) #s(literal 0 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(literal 0 binary64))))
(/.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (neg.f64 (neg.f64 (sin.f64 x)))) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))
(/.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (cos.f64 x))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(/.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (+.f64 (tan.f64 x) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(literal 0 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (neg.f64 (sin.f64 x))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 (cos.f64 x))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (tan.f64 x)) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 (tan.f64 x)) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 3 binary64)))
(/.f64 (+.f64 (tan.f64 (/.f64 (pow.f64 (+.f64 (PI.f64) x) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) (+.f64 (PI.f64) x)) (pow.f64 (+.f64 (PI.f64) x) #s(literal 2 binary64))))) (tan.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) (+.f64 (PI.f64) x)) (pow.f64 (+.f64 (PI.f64) x) #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 (pow.f64 (+.f64 (PI.f64) x) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) (+.f64 (PI.f64) x)) (pow.f64 (+.f64 (PI.f64) x) #s(literal 2 binary64))))) (tan.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) (+.f64 (PI.f64) x)) (pow.f64 (+.f64 (PI.f64) x) #s(literal 2 binary64))))))))
(/.f64 (+.f64 (tan.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (PI.f64)) (.f64 (PI.f64) (PI.f64))))) (tan.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (PI.f64)) (.f64 (PI.f64) (PI.f64)))))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (PI.f64)) (.f64 (PI.f64) (PI.f64))))) (tan.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (PI.f64)) (*.f64 (PI.f64) (PI.f64))))))))
(/.f64 (sin.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (PI.f64))) (cos.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (PI.f64))))
(/.f64 (neg.f64 (+.f64 (tan.f64 x) #s(literal 0 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 x)))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 x)))))
(/.f64 (sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) (cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (+.f64 (tan.f64 x) #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (sin.f64 x) (cos.f64 x))
(neg.f64 (neg.f64 (tan.f64 x)))
(tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (PI.f64)))
(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 (tan.f64 x) #s(literal 0 binary64)))) (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(literal 0 binary64)))))

eval167.0ms (1.2%)

Memory: 28.5MiB live, 174.1MiB allocated
Compiler: Compiled 33 720 to 4 015 computations (88.1% saved)

prune31.0ms (0.2%)

Memory

-31.7MiB live, 59.3MiB allocated

Pruning

25 alts after pruning (22 fresh and 3 done)

	Pruned	Kept	Total
New	840	19	859
Fresh	11	3	14
Picked	5	0	5
Done	0	3	3
Total	856	25	881

Accuracy

100.0%

Counts

881 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.6%	(/.f64 (/.f64 (sin.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 eps eps))) (cos.f64 (+.f64 eps x))) (cos.f64 x))
▶	100.0%	(/.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps))))))) (cos.f64 x))
▶	99.8%	(/.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (sin.f64 (+.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))) x))) (cos.f64 x))
	99.6%	(/.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) #s(approx (cos (+ eps x)) (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps (cos.f64 x)))) (cos.f64 x))
	99.5%	(/.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) #s(approx (cos (+ eps x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (cos.f64 x)))) (cos.f64 x))
	99.8%	(/.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps))) (cos.f64 x))
	33.4%	(/.f64 (sin.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 eps eps (-.f64 #s(literal 0 binary64) (.f64 eps #s(literal 0 binary64)))))) (.f64 #s(approx (cos (+ eps x)) (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps (cos.f64 x))) (cos.f64 x)))
	33.6%	(/.f64 (sin.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 eps eps #s(approx (- 0 (* eps 0)) #s(literal 0 binary64))))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	99.5%	(/.f64 #s(approx (sin (- (+ eps x) x)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
✓	63.9%	(-.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))
	3.8%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))) (tan.f64 x))
✓	6.6%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
✓	63.6%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	62.7%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (+ (PI) x) (PI))) x))
	99.1%	#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 eps (pow.f64 (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64))))
▶	99.1%	#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 eps (-.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)))))))))
	99.1%	#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
	99.1%	#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (neg.f64 x) (PI.f64))))))))
	99.1%	#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) x)))))))
	98.4%	#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 eps #s(approx (pow (cos x) 2) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
	98.3%	#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 eps #s(approx (pow (cos x) 2) #s(literal 1 binary64))))
	98.5%	#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) #s(approx (/ eps (pow (cos x) 2)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) eps)))
▶	98.5%	#s(approx (- (/ (+ (tan eps) (tan x)) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (.f64 #s(approx (+ ( (sin x) (/ (sin x) (pow (cos x) 2))) (+ (* eps (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x)))) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) (*.f64 x eps) #s(literal 1 binary64)) x eps) x #s(literal 1 binary64))) eps))
	98.5%	#s(approx (- (/ (+ (tan eps) (tan x)) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (.f64 #s(approx (+ ( (sin x) (/ (sin x) (pow (cos x) 2))) (+ (* eps (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x)))) 1)) (fma.f64 (+.f64 x eps) x #s(literal 1 binary64))) eps))
▶	98.3%	#s(approx (- (/ (+ (tan eps) (tan x)) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) #s(approx (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) (+ (* eps (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x)))) 1)) eps) (fma.f64 (*.f64 eps eps) x eps)))

Compiler

Compiled 1 310 to 818 computations (37.6% saved)

simplify151.0ms (1.1%)

Memory

23.0MiB live, 119.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	734
0	124	693
1	277	675
2	929	669
3	4222	651
0	8258	629

Stop Event

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

Calls

Call 1

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

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

localize398.0ms (2.8%)

Memory

-15.2MiB live, 456.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (sin.f64 (+.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))) x)))
accuracy	0.01171875	(+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64)))
accuracy	0.02734375	(+.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))) x)
accuracy	0.1133808997743501	(sin.f64 (+.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))) x))
accuracy	0.01171875	(/.f64 eps (-.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))))))))
accuracy	0.03970666768232691	(-.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)))))))
accuracy	0.13434413829673564	(cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))
accuracy	0.5700956422345981	#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 eps (-.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)))))))))
accuracy	0.00390625	(.f64 #s(approx (+ ( (sin x) (/ (sin x) (pow (cos x) 2))) (+ (* eps (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x)))) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) (*.f64 x eps) #s(literal 1 binary64)) x eps) x #s(literal 1 binary64))) eps)
accuracy	0.015625	(fma.f64 (fma.f64 #s(literal 4/3 binary64) (*.f64 x eps) #s(literal 1 binary64)) x eps)
accuracy	0.3444499396074856	#s(approx (- (/ (+ (tan eps) (tan x)) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (.f64 #s(approx (+ ( (sin x) (/ (sin x) (pow (cos x) 2))) (+ (* eps (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x)))) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) (*.f64 x eps) #s(literal 1 binary64)) x eps) x #s(literal 1 binary64))) eps))
accuracy	0.919807354670503	#s(approx (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) (+ (* eps (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x)))) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) (*.f64 x eps) #s(literal 1 binary64)) x eps) x #s(literal 1 binary64)))
accuracy	0.0	(fma.f64 (*.f64 eps eps) x eps)
accuracy	0.0	(*.f64 eps eps)
accuracy	0.3444499396074856	#s(approx (- (/ (+ (tan eps) (tan x)) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) #s(approx (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) (+ (* eps (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x)))) 1)) eps) (fma.f64 (*.f64 eps eps) x eps)))
accuracy	1.0871839740630094	#s(approx (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) (+ (* eps (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x)))) 1)) eps) (fma.f64 (*.f64 eps eps) x eps))
accuracy	0.0078125	(fma.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
accuracy	0.01171875	(*.f64 (sin.f64 x) (sin.f64 eps))
accuracy	0.020195019536884032	(pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 3 binary64))
accuracy	0.08660126953688403	(pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64))

Samples

235.0ms	166×	1	valid
99.0ms	87×	0	valid
3.0ms	2×	2	valid
2.0ms	1×	3	valid

Compiler

Compiled 621 to 77 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 300.0ms

adjust: 54.0ms (18% of total)

ival-add: 46.0ms (15.3% of total)

ival-pow: 43.0ms (14.3% of total)

ival-mult: 41.0ms (13.6% of total)

ival-sin: 37.0ms (12.3% of total)

ival-div: 29.0ms (9.7% of total)

ival-cos: 22.0ms (7.3% of total)

ival-tan: 8.0ms (2.7% of total)

ival-sub: 7.0ms (2.3% of total)

const: 4.0ms (1.3% of total)

ival-pow2: 4.0ms (1.3% of total)

ival-neg: 3.0ms (1% of total)

ival-pi: 2.0ms (0.7% of total)

exact: 1.0ms (0.3% of total)

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

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

series145.0ms (1%)

Memory

5.8MiB live, 112.5MiB allocated

Counts

26 → 180

Calls

Call 1

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

Outputs
(* x (* (cos eps) (sin eps)))
(* x (+ (* x (pow (sin eps) 2)) (* (cos eps) (sin eps))))
(* x (+ (* x (+ (* x (* (cos eps) (+ (* -1/2 (sin eps)) (* -1/6 (sin eps))))) (pow (sin eps) 2))) (* (cos eps) (sin eps))))
(* x (+ (* x (+ (* x (+ (* -1/3 (* x (pow (sin eps) 2))) (* (cos eps) (+ (* -1/2 (sin eps)) (* -1/6 (sin eps)))))) (pow (sin eps) 2))) (* (cos eps) (sin eps))))
(pow (cos eps) 2)
(+ (* x (* (cos eps) (sin eps))) (pow (cos eps) 2))
(+ (* x (+ (* x (+ (* -1 (pow (cos eps) 2)) (pow (sin eps) 2))) (* (cos eps) (sin eps)))) (pow (cos eps) 2))
(+ (* x (+ (* x (+ (* -1 (pow (cos eps) 2)) (+ (* x (* (cos eps) (+ (* -1/2 (sin eps)) (* -1/6 (sin eps))))) (pow (sin eps) 2)))) (* (cos eps) (sin eps)))) (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 (pow (cos eps) 2)) (pow (sin eps) 2))) (pow (cos eps) 3)) (/ (* (sin eps) (+ (* -3/2 (pow (cos eps) 3)) (* -1/2 (pow (cos eps) 3)))) (pow (cos eps) 4)))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(+ (* x (+ (* x (- (+ (* x (- (/ (* (sin eps) (+ (* -1/2 (sin eps)) (* -1/6 (sin eps)))) (pow (cos eps) 2)) (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (/ (* (pow (sin eps) 2) (+ (* -3/2 (pow (cos eps) 3)) (* -1/2 (pow (cos eps) 3)))) (pow (cos eps) 5))))) (/ (* (sin eps) (+ (* -1 (pow (cos eps) 2)) (pow (sin eps) 2))) (pow (cos eps) 3))) (/ (* (sin eps) (+ (* -3/2 (pow (cos eps) 3)) (* -1/2 (pow (cos eps) 3)))) (pow (cos eps) 4)))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
eps
(+ eps (* (pow eps 2) x))
(+ eps (* x (+ (* eps x) (pow eps 2))))
(+ eps (* x (+ (* x (+ eps (* 4/3 (* (pow eps 2) x)))) (pow eps 2))))
1
(+ 1 (* eps x))
(+ 1 (* x (+ eps x)))
(+ 1 (* x (+ eps (* x (+ 1 (* 4/3 (* eps x)))))))
(cos (PI))
(+ (cos (PI)) (* 2 (* x (sin (PI)))))
(+ (cos (PI)) (* x (- (* -2 (* x (cos (PI)))) (* -2 (sin (PI))))))
(+ (cos (PI)) (* x (- (* x (+ (* -2 (cos (PI))) (* -4/3 (* x (sin (PI)))))) (* -2 (sin (PI))))))
(PI)
(+ (PI) (* -2 x))
(- 1/2 (* 1/2 (cos (PI))))
(- (+ 1/2 (* -1 (* x (sin (PI))))) (* 1/2 (cos (PI))))
(- (+ 1/2 (* x (- (* x (cos (PI))) (sin (PI))))) (* 1/2 (cos (PI))))
(- (+ 1/2 (* x (- (* x (- (* 2/3 (* x (sin (PI)))) (* -1 (cos (PI))))) (sin (PI))))) (* 1/2 (cos (PI))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(sin (+ eps (* 1/2 (PI))))
(+ (sin (+ eps (* 1/2 (PI)))) (* x (cos (+ eps (* 1/2 (PI))))))
(+ (sin (+ eps (* 1/2 (PI)))) (* x (+ (cos (+ eps (* 1/2 (PI)))) (* -1/2 (* x (sin (+ eps (* 1/2 (PI)))))))))
(+ (sin (+ eps (* 1/2 (PI)))) (* x (+ (cos (+ eps (* 1/2 (PI)))) (* x (+ (* -1/2 (sin (+ eps (* 1/2 (PI))))) (* -1/6 (* x (cos (+ eps (* 1/2 (PI)))))))))))
(/ (sin eps) (sin (+ eps (* 1/2 (PI)))))
(+ (* -1 (/ (* x (* (cos (+ eps (* 1/2 (PI)))) (sin eps))) (pow (sin (+ eps (* 1/2 (PI)))) 2))) (/ (sin eps) (sin (+ eps (* 1/2 (PI))))))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (sin (+ eps (* 1/2 (PI)))))) (* -1 (/ (* (pow (cos (+ eps (* 1/2 (PI)))) 2) (sin eps)) (pow (sin (+ eps (* 1/2 (PI)))) 3)))))) (/ (* (cos (+ eps (* 1/2 (PI)))) (sin eps)) (pow (sin (+ eps (* 1/2 (PI)))) 2)))) (/ (sin eps) (sin (+ eps (* 1/2 (PI))))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (cos (+ eps (* 1/2 (PI)))) (+ (* -1 (/ (sin eps) (sin (+ eps (* 1/2 (PI)))))) (* -1 (/ (* (pow (cos (+ eps (* 1/2 (PI)))) 2) (sin eps)) (pow (sin (+ eps (* 1/2 (PI)))) 3))))) (sin (+ eps (* 1/2 (PI)))))) (+ (/ (* (cos (+ eps (* 1/2 (PI)))) (sin eps)) (pow (sin (+ eps (* 1/2 (PI)))) 2)) (/ (* (sin eps) (+ (* -1/2 (cos (+ eps (* 1/2 (PI))))) (* -1/6 (cos (+ eps (* 1/2 (PI))))))) (pow (sin (+ eps (* 1/2 (PI)))) 2)))))) (+ (* -1 (/ (sin eps) (sin (+ eps (* 1/2 (PI)))))) (* -1 (/ (* (pow (cos (+ eps (* 1/2 (PI)))) 2) (sin eps)) (pow (sin (+ eps (* 1/2 (PI)))) 3)))))) (/ (* (cos (+ eps (* 1/2 (PI)))) (sin eps)) (pow (sin (+ eps (* 1/2 (PI)))) 2)))) (/ (sin eps) (sin (+ eps (* 1/2 (PI))))))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (* (pow (cos (+ eps (* 1/2 (PI)))) 2) (sin eps)) (pow (sin (+ eps (* 1/2 (PI)))) 3))) (* -1/2 (/ (sin eps) (sin (+ eps (* 1/2 (PI))))))))) (/ (* (cos (+ eps (* 1/2 (PI)))) (sin eps)) (pow (sin (+ eps (* 1/2 (PI)))) 2)))) (/ (sin eps) (sin (+ eps (* 1/2 (PI))))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (cos (+ eps (* 1/2 (PI)))) (+ (* -1 (/ (* (pow (cos (+ eps (* 1/2 (PI)))) 2) (sin eps)) (pow (sin (+ eps (* 1/2 (PI)))) 3))) (* -1/2 (/ (sin eps) (sin (+ eps (* 1/2 (PI)))))))) (sin (+ eps (* 1/2 (PI)))))) (+ (* -1/6 (/ (* (cos (+ eps (* 1/2 (PI)))) (sin eps)) (pow (sin (+ eps (* 1/2 (PI)))) 2))) (* 1/2 (/ (* (cos (+ eps (* 1/2 (PI)))) (sin eps)) (pow (sin (+ eps (* 1/2 (PI)))) 2))))))) (+ (* -1 (/ (* (pow (cos (+ eps (* 1/2 (PI)))) 2) (sin eps)) (pow (sin (+ eps (* 1/2 (PI)))) 3))) (* -1/2 (/ (sin eps) (sin (+ eps (* 1/2 (PI))))))))) (/ (* (cos (+ eps (* 1/2 (PI)))) (sin eps)) (pow (sin (+ eps (* 1/2 (PI)))) 2)))) (/ (sin eps) (sin (+ eps (* 1/2 (PI))))))
(* (pow x 3) (pow (sin eps) 3))
(* (pow x 3) (+ (* -1/2 (* (pow x 2) (pow (sin eps) 3))) (pow (sin eps) 3)))
(* (pow x 3) (+ (* (pow x 2) (+ (* -1/2 (pow (sin eps) 3)) (* 13/120 (* (pow x 2) (pow (sin eps) 3))))) (pow (sin eps) 3)))
(* (pow x 3) (+ (* (pow x 2) (+ (* -1/2 (pow (sin eps) 3)) (* (pow x 2) (+ (* -41/3024 (* (pow x 2) (pow (sin eps) 3))) (* 13/120 (pow (sin eps) 3)))))) (pow (sin eps) 3)))
(pow (cos eps) 3)
(+ (* -3/2 (* (pow x 2) (pow (cos eps) 3))) (pow (cos eps) 3))
(+ (* (pow x 2) (+ (* -3/2 (pow (cos eps) 3)) (* 7/8 (* (pow x 2) (pow (cos eps) 3))))) (pow (cos eps) 3))
(+ (* (pow x 2) (+ (* -3/2 (pow (cos eps) 3)) (* (pow x 2) (+ (* -61/240 (* (pow x 2) (pow (cos eps) 3))) (* 7/8 (pow (cos eps) 3)))))) (pow (cos eps) 3))
(* x (sin eps))
(* x (+ (sin eps) (* -1/6 (* (pow x 2) (sin eps)))))
(* x (+ (sin eps) (* (pow x 2) (+ (* -1/6 (sin eps)) (* 1/120 (* (pow x 2) (sin eps)))))))
(* x (+ (sin eps) (* (pow x 2) (+ (* -1/6 (sin eps)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (sin eps))) (* 1/120 (sin eps))))))))
(+ eps x)
(+ eps (* x (+ 1 (* 4/3 (* eps x)))))
(/ eps (- 1/2 (* 1/2 (cos (PI)))))
(+ (/ eps (- 1/2 (* 1/2 (cos (PI))))) (/ (* eps (* x (sin (PI)))) (pow (- 1/2 (* 1/2 (cos (PI)))) 2)))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (* eps (pow (sin (PI)) 2)) (pow (- 1/2 (* 1/2 (cos (PI)))) 3))) (/ (* eps (cos (PI))) (pow (- 1/2 (* 1/2 (cos (PI)))) 2))))) (* -1 (/ (* eps (sin (PI))) (pow (- 1/2 (* 1/2 (cos (PI)))) 2))))) (/ eps (- 1/2 (* 1/2 (cos (PI))))))
(+ (* x (- (* x (- (* -1 (* x (+ (* 2/3 (/ (* eps (sin (PI))) (pow (- 1/2 (* 1/2 (cos (PI)))) 2))) (+ (/ (* eps (* (cos (PI)) (sin (PI)))) (pow (- 1/2 (* 1/2 (cos (PI)))) 3)) (/ (* (sin (PI)) (+ (* -1 (/ (* eps (pow (sin (PI)) 2)) (pow (- 1/2 (* 1/2 (cos (PI)))) 3))) (/ (* eps (cos (PI))) (pow (- 1/2 (* 1/2 (cos (PI)))) 2)))) (- 1/2 (* 1/2 (cos (PI))))))))) (+ (* -1 (/ (* eps (pow (sin (PI)) 2)) (pow (- 1/2 (* 1/2 (cos (PI)))) 3))) (/ (* eps (cos (PI))) (pow (- 1/2 (* 1/2 (cos (PI)))) 2))))) (* -1 (/ (* eps (sin (PI))) (pow (- 1/2 (* 1/2 (cos (PI)))) 2))))) (/ eps (- 1/2 (* 1/2 (cos (PI))))))
(+ eps (* 1/2 (PI)))
(+ eps (+ x (* 1/2 (PI))))
(+ (* (cos eps) (* (cos x) (* (sin eps) (sin x)))) (* (pow (sin eps) 2) (pow (sin x) 2)))
(+ (* (cos eps) (* (cos x) (* (sin eps) (sin x)))) (+ (* (pow (cos eps) 2) (pow (cos x) 2)) (* (pow (sin eps) 2) (pow (sin x) 2))))
(/ (* (sin eps) (+ (* (cos eps) (* (cos x) (* (sin eps) (sin x)))) (+ (* (pow (cos eps) 2) (pow (cos x) 2)) (* (pow (sin eps) 2) (pow (sin x) 2))))) (* (cos x) (- (* (pow (cos eps) 3) (pow (cos x) 3)) (* (pow (sin eps) 3) (pow (sin x) 3)))))
(- (+ (/ (sin eps) (* (cos eps) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (/ (sin x) (cos x)))
(* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* (pow eps 2) x)
(* x (+ (/ eps x) (pow eps 2)))
(+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(* 4/3 (* eps (pow x 3)))
(* (pow x 3) (+ (* 4/3 eps) (/ 1 x)))
(* (pow x 3) (+ (* 4/3 eps) (+ (/ 1 x) (/ eps (pow x 2)))))
(* (pow x 3) (+ (* 4/3 eps) (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ eps (pow x 2))))))
(cos (* 2 (- (* 1/2 (PI)) x)))
(* -2 x)
(* x (- (/ (PI) x) 2))
(- 1/2 (* 1/2 (cos (* 2 (- (* 1/2 (PI)) x)))))
(/ (sin eps) (* (cos x) (cos (+ eps x))))
(sin (+ eps (+ x (* 1/2 (PI)))))
(/ (sin eps) (* (cos x) (sin (+ eps (+ x (* 1/2 (PI)))))))
(/ (sin eps) (sin (+ eps (+ x (* 1/2 (PI))))))
(* (pow (sin eps) 3) (pow (sin x) 3))
(* (pow (cos eps) 3) (pow (cos x) 3))
(* (sin eps) (sin x))
(* 4/3 (* eps (pow x 2)))
(* (pow x 2) (+ (* 4/3 eps) (/ 1 x)))
(* (pow x 2) (+ (* 4/3 eps) (+ (/ 1 x) (/ eps (pow x 2)))))
(/ eps (- 1/2 (* 1/2 (cos (* 2 (- (* 1/2 (PI)) x))))))
x
(* x (+ 1 (+ (* 1/2 (/ (PI) x)) (/ eps x))))
(* -1 (* x (+ (* -1 (/ eps x)) (* -1 (pow eps 2)))))
(* -1 (* (pow x 3) (- (* -4/3 eps) (/ 1 x))))
(* -1 (* (pow x 3) (+ (* -4/3 eps) (* -1 (/ (+ 1 (/ eps x)) x)))))
(* -1 (* (pow x 3) (+ (* -4/3 eps) (* -1 (/ (+ 1 (* -1 (/ (- (* -1 eps) (/ 1 x)) x))) x)))))
(cos (* 2 (+ (* -1 x) (* 1/2 (PI)))))
(* -1 (* x (+ 2 (* -1 (/ (PI) x)))))
(- 1/2 (* 1/2 (cos (* 2 (+ (* -1 x) (* 1/2 (PI)))))))
(/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))
(sin (- (+ eps (* 1/2 (PI))) (* -1 x)))
(/ (sin eps) (* (cos x) (sin (- (+ eps (* 1/2 (PI))) (* -1 x)))))
(/ (sin eps) (sin (- (+ eps (* 1/2 (PI))) (* -1 x))))
(* (pow x 2) (+ (* -1 (/ (- (* -1 (/ eps x)) 1) x)) (* 4/3 eps)))
(/ eps (- 1/2 (* 1/2 (cos (* 2 (+ (* -1 x) (* 1/2 (PI))))))))
(* -1 (* x (- (* -1 (/ (+ eps (* 1/2 (PI))) x)) 1)))
(* eps (* (cos x) (sin x)))
(* eps (+ (* eps (pow (sin x) 2)) (* (cos x) (sin x))))
(* eps (+ (* eps (+ (* eps (+ (* -1/2 (* (cos x) (sin x))) (* -1/6 (* (cos x) (sin x))))) (pow (sin x) 2))) (* (cos x) (sin x))))
(* eps (+ (* eps (+ (* eps (+ (* -1/2 (* (cos x) (sin x))) (+ (* -1/3 (* eps (pow (sin x) 2))) (* -1/6 (* (cos x) (sin x)))))) (pow (sin x) 2))) (* (cos x) (sin x))))
(pow (cos x) 2)
(+ (* eps (* (cos x) (sin x))) (pow (cos x) 2))
(+ (* eps (+ (* eps (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (* (cos x) (sin x)))) (pow (cos x) 2))
(+ (* eps (+ (* eps (+ (* -1 (pow (cos x) 2)) (+ (* eps (+ (* -1/2 (* (cos x) (sin x))) (* -1/6 (* (cos x) (sin x))))) (pow (sin x) 2)))) (* (cos x) (sin x)))) (pow (cos x) 2))
(/ eps (pow (cos x) 2))
(* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3))))
(* eps (+ (* eps (+ (* eps (- (+ (* 1/2 (/ 1 (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2))))) (/ (sin x) (pow (cos x) 3)))) (/ 1 (pow (cos x) 2))))
(* eps (+ (* eps (+ (* eps (- (+ (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* eps (- (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* -1/3 (/ (sin x) (pow (cos x) 3)))) (+ (* -3/2 (/ (sin x) (pow (cos x) 3))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 5)))))) (/ (pow (sin x) 2) (pow (cos x) 4)))) (* 1/6 (/ 1 (pow (cos x) 2))))) (/ (sin x) (pow (cos x) 3)))) (/ 1 (pow (cos x) 2))))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* -1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* -1/3 (/ (sin x) (cos x))) (+ (* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (* eps x)))
(pow eps 2)
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (pow x 2))
(+ 1 (+ (* eps (* x (+ 1 (* 4/3 (pow x 2))))) (pow x 2)))
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))
(sin (+ x (* 1/2 (PI))))
(+ (sin (+ x (* 1/2 (PI)))) (* eps (cos (+ x (* 1/2 (PI))))))
(+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (cos (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin (+ x (* 1/2 (PI)))))))))
(+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (cos (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin (+ x (* 1/2 (PI))))) (* -1/6 (* eps (cos (+ x (* 1/2 (PI)))))))))))
(/ eps (* (cos x) (sin (+ x (* 1/2 (PI))))))
(* eps (+ (* -1 (/ (* eps (cos (+ x (* 1/2 (PI))))) (* (cos x) (pow (sin (+ x (* 1/2 (PI)))) 2)))) (/ 1 (* (cos x) (sin (+ x (* 1/2 (PI))))))))
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (* (cos x) (sin (+ x (* 1/2 (PI))))))) (+ (* -1 (/ (pow (cos (+ x (* 1/2 (PI)))) 2) (* (cos x) (pow (sin (+ x (* 1/2 (PI)))) 3)))) (* 1/6 (/ 1 (* (cos x) (sin (+ x (* 1/2 (PI)))))))))) (/ (cos (+ x (* 1/2 (PI)))) (* (cos x) (pow (sin (+ x (* 1/2 (PI)))) 2))))) (/ 1 (* (cos x) (sin (+ x (* 1/2 (PI))))))))
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1/6 (/ (cos (+ x (* 1/2 (PI)))) (* (cos x) (pow (sin (+ x (* 1/2 (PI)))) 2)))) (+ (* 1/2 (/ (cos (+ x (* 1/2 (PI)))) (* (cos x) (pow (sin (+ x (* 1/2 (PI)))) 2)))) (/ (* (cos (+ x (* 1/2 (PI)))) (- (* 1/2 (/ 1 (* (cos x) (sin (+ x (* 1/2 (PI))))))) (+ (* -1 (/ (pow (cos (+ x (* 1/2 (PI)))) 2) (* (cos x) (pow (sin (+ x (* 1/2 (PI)))) 3)))) (* 1/6 (/ 1 (* (cos x) (sin (+ x (* 1/2 (PI)))))))))) (sin (+ x (* 1/2 (PI))))))))) (* 1/2 (/ 1 (* (cos x) (sin (+ x (* 1/2 (PI)))))))) (+ (* -1 (/ (pow (cos (+ x (* 1/2 (PI)))) 2) (* (cos x) (pow (sin (+ x (* 1/2 (PI)))) 3)))) (* 1/6 (/ 1 (* (cos x) (sin (+ x (* 1/2 (PI)))))))))) (/ (cos (+ x (* 1/2 (PI)))) (* (cos x) (pow (sin (+ x (* 1/2 (PI)))) 2))))) (/ 1 (* (cos x) (sin (+ x (* 1/2 (PI))))))))
(/ eps (sin (+ x (* 1/2 (PI)))))
(* eps (+ (* -1 (/ (* eps (cos (+ x (* 1/2 (PI))))) (pow (sin (+ x (* 1/2 (PI)))) 2))) (/ 1 (sin (+ x (* 1/2 (PI)))))))
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (sin (+ x (* 1/2 (PI)))))) (+ (* -1 (/ (pow (cos (+ x (* 1/2 (PI)))) 2) (pow (sin (+ x (* 1/2 (PI)))) 3))) (* 1/6 (/ 1 (sin (+ x (* 1/2 (PI))))))))) (/ (cos (+ x (* 1/2 (PI)))) (pow (sin (+ x (* 1/2 (PI)))) 2)))) (/ 1 (sin (+ x (* 1/2 (PI)))))))
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1/6 (/ (cos (+ x (* 1/2 (PI)))) (pow (sin (+ x (* 1/2 (PI)))) 2))) (+ (* 1/2 (/ (cos (+ x (* 1/2 (PI)))) (pow (sin (+ x (* 1/2 (PI)))) 2))) (/ (* (cos (+ x (* 1/2 (PI)))) (- (* 1/2 (/ 1 (sin (+ x (* 1/2 (PI)))))) (+ (* -1 (/ (pow (cos (+ x (* 1/2 (PI)))) 2) (pow (sin (+ x (* 1/2 (PI)))) 3))) (* 1/6 (/ 1 (sin (+ x (* 1/2 (PI))))))))) (sin (+ x (* 1/2 (PI))))))))) (* 1/2 (/ 1 (sin (+ x (* 1/2 (PI))))))) (+ (* -1 (/ (pow (cos (+ x (* 1/2 (PI)))) 2) (pow (sin (+ x (* 1/2 (PI)))) 3))) (* 1/6 (/ 1 (sin (+ x (* 1/2 (PI))))))))) (/ (cos (+ x (* 1/2 (PI)))) (pow (sin (+ x (* 1/2 (PI)))) 2)))) (/ 1 (sin (+ x (* 1/2 (PI)))))))
(* (pow eps 3) (pow (sin x) 3))
(* (pow eps 3) (+ (* -1/2 (* (pow eps 2) (pow (sin x) 3))) (pow (sin x) 3)))
(* (pow eps 3) (+ (* (pow eps 2) (+ (* -1/2 (pow (sin x) 3)) (* 13/120 (* (pow eps 2) (pow (sin x) 3))))) (pow (sin x) 3)))
(* (pow eps 3) (+ (* (pow eps 2) (+ (* -1/2 (pow (sin x) 3)) (* (pow eps 2) (+ (* -41/3024 (* (pow eps 2) (pow (sin x) 3))) (* 13/120 (pow (sin x) 3)))))) (pow (sin x) 3)))
(pow (cos x) 3)
(+ (* -3/2 (* (pow eps 2) (pow (cos x) 3))) (pow (cos x) 3))
(+ (* (pow eps 2) (+ (* -3/2 (pow (cos x) 3)) (* 7/8 (* (pow eps 2) (pow (cos x) 3))))) (pow (cos x) 3))
(+ (* (pow eps 2) (+ (* -3/2 (pow (cos x) 3)) (* (pow eps 2) (+ (* -61/240 (* (pow eps 2) (pow (cos x) 3))) (* 7/8 (pow (cos x) 3)))))) (pow (cos x) 3))
(* eps (sin x))
(* eps (+ (sin x) (* -1/6 (* (pow eps 2) (sin x)))))
(* eps (+ (sin x) (* (pow eps 2) (+ (* -1/6 (sin x)) (* 1/120 (* (pow eps 2) (sin x)))))))
(* eps (+ (sin x) (* (pow eps 2) (+ (* -1/6 (sin x)) (* (pow eps 2) (+ (* -1/5040 (* (pow eps 2) (sin x))) (* 1/120 (sin x))))))))
(+ x (* eps (+ 1 (* 4/3 (pow x 2)))))
(+ x (* 1/2 (PI)))
(* 1/2 (PI))
(* (pow eps 2) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))
(* (pow eps 2) (+ x (/ 1 eps)))
(* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* eps (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))
(* eps (* x (+ 1 (* 4/3 (pow x 2)))))
(* eps (+ (* x (+ 1 (* 4/3 (pow x 2)))) (+ (/ 1 eps) (/ (pow x 2) eps))))
(* eps (+ 1 (* 4/3 (pow x 2))))
(* eps (+ 1 (+ (* 4/3 (pow x 2)) (/ x eps))))
(* eps (+ 1 (+ (* 1/2 (/ (PI) eps)) (/ x eps))))
(* eps (+ 1 (* 1/2 (/ (PI) eps))))
(/ (* (sin (neg (* -1 eps))) (+ (* (cos eps) (* (cos x) (* (sin eps) (sin x)))) (+ (* (pow (cos eps) 2) (pow (cos x) 2)) (* (pow (sin eps) 2) (pow (sin x) 2))))) (* (cos x) (- (* (pow (cos eps) 3) (pow (cos x) 3)) (* (pow (sin eps) 3) (pow (sin x) 3)))))
(* -1 (* eps (+ (* -1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)))))
(* -1 (* eps (* x (- (* -4/3 (pow x 2)) 1))))
(* -1 (* eps (+ (* -1 (/ (+ 1 (pow x 2)) eps)) (* x (- (* -4/3 (pow x 2)) 1)))))
(/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))
(sin (- (+ x (* 1/2 (PI))) (* -1 eps)))
(/ (sin (neg (* -1 eps))) (* (cos x) (sin (- (+ x (* 1/2 (PI))) (* -1 eps)))))
(/ (sin (neg (* -1 eps))) (sin (- (+ x (* 1/2 (PI))) (* -1 eps))))
(* -1 (* eps (- (* -4/3 (pow x 2)) 1)))
(* -1 (* eps (- (+ (* -4/3 (pow x 2)) (* -1 (/ x eps))) 1)))
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (PI))) eps)) 1)))
(* -1 (* eps (- (* -1/2 (/ (PI) eps)) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
53.0ms	eps	@	inf	((+ (* (* (sin x) (sin eps)) (* (sin x) (sin eps))) (* (* (cos eps) (cos x)) (* (sin x) (sin eps)))) (+ 0 eps) (+ (* (* (cos eps) (cos x)) (* (cos eps) (cos x))) (+ (* (* (sin x) (sin eps)) (* (sin x) (sin eps))) (* (* (cos eps) (cos x)) (* (sin x) (sin eps))))) (/ (/ (sin (+ 0 eps)) (/ (- (pow (* (cos eps) (cos x)) 3) (pow (* (sin x) (sin eps)) 3)) (+ (* (* (cos eps) (cos x)) (* (cos eps) (cos x))) (+ (* (* (sin x) (sin eps)) (* (sin x) (sin eps))) (* (* (cos eps) (cos x)) (* (sin x) (sin eps))))))) (cos x)) (- (/ (+ (tan eps) (tan x)) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) (+ (* eps (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x)))) 1)) eps) (+ (* (* eps eps) x) eps) (* eps eps) (- (/ (+ (tan eps) (tan x)) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) (+ (* eps (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x)))) 1)) eps) (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) (+ (* eps (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x)))) 1)) (+ (* (+ (* (+ (* 4/3 (* x eps)) 1) x) eps) x) 1) (cos (* 2 (+ (neg x) (/ (PI) 2)))) (* 2 (+ (neg x) (/ (PI) 2))) (- 1/2 (* 1/2 (cos (* 2 (+ (neg x) (/ (PI) 2)))))) (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (sin (+ (+ eps (/ (PI) 2)) x)) (/ (/ (sin (+ 0 eps)) (sin (+ (+ eps (/ (PI) 2)) x))) (cos x)) (/ (sin (+ 0 eps)) (sin (+ (+ eps (/ (PI) 2)) x))) (pow (* (sin x) (sin eps)) 3) (pow (* (cos eps) (cos x)) 3) (* (sin x) (sin eps)) (+ (* (+ (* 4/3 (* x eps)) 1) x) eps) (/ eps (- 1/2 (* 1/2 (cos (* 2 (+ (neg x) (/ (PI) 2))))))) (+ (+ eps (/ (PI) 2)) x) (+ eps (/ (PI) 2)))
28.0ms	x	@	inf	((+ (* (* (sin x) (sin eps)) (* (sin x) (sin eps))) (* (* (cos eps) (cos x)) (* (sin x) (sin eps)))) (+ 0 eps) (+ (* (* (cos eps) (cos x)) (* (cos eps) (cos x))) (+ (* (* (sin x) (sin eps)) (* (sin x) (sin eps))) (* (* (cos eps) (cos x)) (* (sin x) (sin eps))))) (/ (/ (sin (+ 0 eps)) (/ (- (pow (* (cos eps) (cos x)) 3) (pow (* (sin x) (sin eps)) 3)) (+ (* (* (cos eps) (cos x)) (* (cos eps) (cos x))) (+ (* (* (sin x) (sin eps)) (* (sin x) (sin eps))) (* (* (cos eps) (cos x)) (* (sin x) (sin eps))))))) (cos x)) (- (/ (+ (tan eps) (tan x)) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) (+ (* eps (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x)))) 1)) eps) (+ (* (* eps eps) x) eps) (* eps eps) (- (/ (+ (tan eps) (tan x)) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) (+ (* eps (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x)))) 1)) eps) (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) (+ (* eps (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x)))) 1)) (+ (* (+ (* (+ (* 4/3 (* x eps)) 1) x) eps) x) 1) (cos (* 2 (+ (neg x) (/ (PI) 2)))) (* 2 (+ (neg x) (/ (PI) 2))) (- 1/2 (* 1/2 (cos (* 2 (+ (neg x) (/ (PI) 2)))))) (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (sin (+ (+ eps (/ (PI) 2)) x)) (/ (/ (sin (+ 0 eps)) (sin (+ (+ eps (/ (PI) 2)) x))) (cos x)) (/ (sin (+ 0 eps)) (sin (+ (+ eps (/ (PI) 2)) x))) (pow (* (sin x) (sin eps)) 3) (pow (* (cos eps) (cos x)) 3) (* (sin x) (sin eps)) (+ (* (+ (* 4/3 (* x eps)) 1) x) eps) (/ eps (- 1/2 (* 1/2 (cos (* 2 (+ (neg x) (/ (PI) 2))))))) (+ (+ eps (/ (PI) 2)) x) (+ eps (/ (PI) 2)))
24.0ms	x	@	0	((+ (* (* (sin x) (sin eps)) (* (sin x) (sin eps))) (* (* (cos eps) (cos x)) (* (sin x) (sin eps)))) (+ 0 eps) (+ (* (* (cos eps) (cos x)) (* (cos eps) (cos x))) (+ (* (* (sin x) (sin eps)) (* (sin x) (sin eps))) (* (* (cos eps) (cos x)) (* (sin x) (sin eps))))) (/ (/ (sin (+ 0 eps)) (/ (- (pow (* (cos eps) (cos x)) 3) (pow (* (sin x) (sin eps)) 3)) (+ (* (* (cos eps) (cos x)) (* (cos eps) (cos x))) (+ (* (* (sin x) (sin eps)) (* (sin x) (sin eps))) (* (* (cos eps) (cos x)) (* (sin x) (sin eps))))))) (cos x)) (- (/ (+ (tan eps) (tan x)) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) (+ (* eps (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x)))) 1)) eps) (+ (* (* eps eps) x) eps) (* eps eps) (- (/ (+ (tan eps) (tan x)) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) (+ (* eps (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x)))) 1)) eps) (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) (+ (* eps (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x)))) 1)) (+ (* (+ (* (+ (* 4/3 (* x eps)) 1) x) eps) x) 1) (cos (* 2 (+ (neg x) (/ (PI) 2)))) (* 2 (+ (neg x) (/ (PI) 2))) (- 1/2 (* 1/2 (cos (* 2 (+ (neg x) (/ (PI) 2)))))) (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (sin (+ (+ eps (/ (PI) 2)) x)) (/ (/ (sin (+ 0 eps)) (sin (+ (+ eps (/ (PI) 2)) x))) (cos x)) (/ (sin (+ 0 eps)) (sin (+ (+ eps (/ (PI) 2)) x))) (pow (* (sin x) (sin eps)) 3) (pow (* (cos eps) (cos x)) 3) (* (sin x) (sin eps)) (+ (* (+ (* 4/3 (* x eps)) 1) x) eps) (/ eps (- 1/2 (* 1/2 (cos (* 2 (+ (neg x) (/ (PI) 2))))))) (+ (+ eps (/ (PI) 2)) x) (+ eps (/ (PI) 2)))
13.0ms	eps	@	-inf	((+ (* (* (sin x) (sin eps)) (* (sin x) (sin eps))) (* (* (cos eps) (cos x)) (* (sin x) (sin eps)))) (+ 0 eps) (+ (* (* (cos eps) (cos x)) (* (cos eps) (cos x))) (+ (* (* (sin x) (sin eps)) (* (sin x) (sin eps))) (* (* (cos eps) (cos x)) (* (sin x) (sin eps))))) (/ (/ (sin (+ 0 eps)) (/ (- (pow (* (cos eps) (cos x)) 3) (pow (* (sin x) (sin eps)) 3)) (+ (* (* (cos eps) (cos x)) (* (cos eps) (cos x))) (+ (* (* (sin x) (sin eps)) (* (sin x) (sin eps))) (* (* (cos eps) (cos x)) (* (sin x) (sin eps))))))) (cos x)) (- (/ (+ (tan eps) (tan x)) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) (+ (* eps (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x)))) 1)) eps) (+ (* (* eps eps) x) eps) (* eps eps) (- (/ (+ (tan eps) (tan x)) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) (+ (* eps (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x)))) 1)) eps) (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) (+ (* eps (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x)))) 1)) (+ (* (+ (* (+ (* 4/3 (* x eps)) 1) x) eps) x) 1) (cos (* 2 (+ (neg x) (/ (PI) 2)))) (* 2 (+ (neg x) (/ (PI) 2))) (- 1/2 (* 1/2 (cos (* 2 (+ (neg x) (/ (PI) 2)))))) (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (sin (+ (+ eps (/ (PI) 2)) x)) (/ (/ (sin (+ 0 eps)) (sin (+ (+ eps (/ (PI) 2)) x))) (cos x)) (/ (sin (+ 0 eps)) (sin (+ (+ eps (/ (PI) 2)) x))) (pow (* (sin x) (sin eps)) 3) (pow (* (cos eps) (cos x)) 3) (* (sin x) (sin eps)) (+ (* (+ (* 4/3 (* x eps)) 1) x) eps) (/ eps (- 1/2 (* 1/2 (cos (* 2 (+ (neg x) (/ (PI) 2))))))) (+ (+ eps (/ (PI) 2)) x) (+ eps (/ (PI) 2)))
12.0ms	x	@	-inf	((+ (* (* (sin x) (sin eps)) (* (sin x) (sin eps))) (* (* (cos eps) (cos x)) (* (sin x) (sin eps)))) (+ 0 eps) (+ (* (* (cos eps) (cos x)) (* (cos eps) (cos x))) (+ (* (* (sin x) (sin eps)) (* (sin x) (sin eps))) (* (* (cos eps) (cos x)) (* (sin x) (sin eps))))) (/ (/ (sin (+ 0 eps)) (/ (- (pow (* (cos eps) (cos x)) 3) (pow (* (sin x) (sin eps)) 3)) (+ (* (* (cos eps) (cos x)) (* (cos eps) (cos x))) (+ (* (* (sin x) (sin eps)) (* (sin x) (sin eps))) (* (* (cos eps) (cos x)) (* (sin x) (sin eps))))))) (cos x)) (- (/ (+ (tan eps) (tan x)) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) (+ (* eps (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x)))) 1)) eps) (+ (* (* eps eps) x) eps) (* eps eps) (- (/ (+ (tan eps) (tan x)) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) (+ (* eps (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x)))) 1)) eps) (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) (+ (* eps (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x)))) 1)) (+ (* (+ (* (+ (* 4/3 (* x eps)) 1) x) eps) x) 1) (cos (* 2 (+ (neg x) (/ (PI) 2)))) (* 2 (+ (neg x) (/ (PI) 2))) (- 1/2 (* 1/2 (cos (* 2 (+ (neg x) (/ (PI) 2)))))) (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (sin (+ (+ eps (/ (PI) 2)) x)) (/ (/ (sin (+ 0 eps)) (sin (+ (+ eps (/ (PI) 2)) x))) (cos x)) (/ (sin (+ 0 eps)) (sin (+ (+ eps (/ (PI) 2)) x))) (pow (* (sin x) (sin eps)) 3) (pow (* (cos eps) (cos x)) 3) (* (sin x) (sin eps)) (+ (* (+ (* 4/3 (* x eps)) 1) x) eps) (/ eps (- 1/2 (* 1/2 (cos (* 2 (+ (neg x) (/ (PI) 2))))))) (+ (+ eps (/ (PI) 2)) x) (+ eps (/ (PI) 2)))

simplify190.0ms (1.3%)

Memory

11.9MiB live, 103.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	859	4210
1	3155	3940
0	8967	3615

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 178

Calls

Call 1

Inputs
(* x (* (cos eps) (sin eps)))
(* x (+ (* x (pow (sin eps) 2)) (* (cos eps) (sin eps))))
(* x (+ (* x (+ (* x (* (cos eps) (+ (* -1/2 (sin eps)) (* -1/6 (sin eps))))) (pow (sin eps) 2))) (* (cos eps) (sin eps))))
(* x (+ (* x (+ (* x (+ (* -1/3 (* x (pow (sin eps) 2))) (* (cos eps) (+ (* -1/2 (sin eps)) (* -1/6 (sin eps)))))) (pow (sin eps) 2))) (* (cos eps) (sin eps))))
(pow (cos eps) 2)
(+ (* x (* (cos eps) (sin eps))) (pow (cos eps) 2))
(+ (* x (+ (* x (+ (* -1 (pow (cos eps) 2)) (pow (sin eps) 2))) (* (cos eps) (sin eps)))) (pow (cos eps) 2))
(+ (* x (+ (* x (+ (* -1 (pow (cos eps) 2)) (+ (* x (* (cos eps) (+ (* -1/2 (sin eps)) (* -1/6 (sin eps))))) (pow (sin eps) 2)))) (* (cos eps) (sin eps)))) (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 (pow (cos eps) 2)) (pow (sin eps) 2))) (pow (cos eps) 3)) (/ (* (sin eps) (+ (* -3/2 (pow (cos eps) 3)) (* -1/2 (pow (cos eps) 3)))) (pow (cos eps) 4)))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(+ (* x (+ (* x (- (+ (* x (- (/ (* (sin eps) (+ (* -1/2 (sin eps)) (* -1/6 (sin eps)))) (pow (cos eps) 2)) (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (/ (* (pow (sin eps) 2) (+ (* -3/2 (pow (cos eps) 3)) (* -1/2 (pow (cos eps) 3)))) (pow (cos eps) 5))))) (/ (* (sin eps) (+ (* -1 (pow (cos eps) 2)) (pow (sin eps) 2))) (pow (cos eps) 3))) (/ (* (sin eps) (+ (* -3/2 (pow (cos eps) 3)) (* -1/2 (pow (cos eps) 3)))) (pow (cos eps) 4)))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
eps
(+ eps (* (pow eps 2) x))
(+ eps (* x (+ (* eps x) (pow eps 2))))
(+ eps (* x (+ (* x (+ eps (* 4/3 (* (pow eps 2) x)))) (pow eps 2))))
1
(+ 1 (* eps x))
(+ 1 (* x (+ eps x)))
(+ 1 (* x (+ eps (* x (+ 1 (* 4/3 (* eps x)))))))
(cos (PI))
(+ (cos (PI)) (* 2 (* x (sin (PI)))))
(+ (cos (PI)) (* x (- (* -2 (* x (cos (PI)))) (* -2 (sin (PI))))))
(+ (cos (PI)) (* x (- (* x (+ (* -2 (cos (PI))) (* -4/3 (* x (sin (PI)))))) (* -2 (sin (PI))))))
(PI)
(+ (PI) (* -2 x))
(- 1/2 (* 1/2 (cos (PI))))
(- (+ 1/2 (* -1 (* x (sin (PI))))) (* 1/2 (cos (PI))))
(- (+ 1/2 (* x (- (* x (cos (PI))) (sin (PI))))) (* 1/2 (cos (PI))))
(- (+ 1/2 (* x (- (* x (- (* 2/3 (* x (sin (PI)))) (* -1 (cos (PI))))) (sin (PI))))) (* 1/2 (cos (PI))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(sin (+ eps (* 1/2 (PI))))
(+ (sin (+ eps (* 1/2 (PI)))) (* x (cos (+ eps (* 1/2 (PI))))))
(+ (sin (+ eps (* 1/2 (PI)))) (* x (+ (cos (+ eps (* 1/2 (PI)))) (* -1/2 (* x (sin (+ eps (* 1/2 (PI)))))))))
(+ (sin (+ eps (* 1/2 (PI)))) (* x (+ (cos (+ eps (* 1/2 (PI)))) (* x (+ (* -1/2 (sin (+ eps (* 1/2 (PI))))) (* -1/6 (* x (cos (+ eps (* 1/2 (PI)))))))))))
(/ (sin eps) (sin (+ eps (* 1/2 (PI)))))
(+ (* -1 (/ (* x (* (cos (+ eps (* 1/2 (PI)))) (sin eps))) (pow (sin (+ eps (* 1/2 (PI)))) 2))) (/ (sin eps) (sin (+ eps (* 1/2 (PI))))))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (sin (+ eps (* 1/2 (PI)))))) (* -1 (/ (* (pow (cos (+ eps (* 1/2 (PI)))) 2) (sin eps)) (pow (sin (+ eps (* 1/2 (PI)))) 3)))))) (/ (* (cos (+ eps (* 1/2 (PI)))) (sin eps)) (pow (sin (+ eps (* 1/2 (PI)))) 2)))) (/ (sin eps) (sin (+ eps (* 1/2 (PI))))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (cos (+ eps (* 1/2 (PI)))) (+ (* -1 (/ (sin eps) (sin (+ eps (* 1/2 (PI)))))) (* -1 (/ (* (pow (cos (+ eps (* 1/2 (PI)))) 2) (sin eps)) (pow (sin (+ eps (* 1/2 (PI)))) 3))))) (sin (+ eps (* 1/2 (PI)))))) (+ (/ (* (cos (+ eps (* 1/2 (PI)))) (sin eps)) (pow (sin (+ eps (* 1/2 (PI)))) 2)) (/ (* (sin eps) (+ (* -1/2 (cos (+ eps (* 1/2 (PI))))) (* -1/6 (cos (+ eps (* 1/2 (PI))))))) (pow (sin (+ eps (* 1/2 (PI)))) 2)))))) (+ (* -1 (/ (sin eps) (sin (+ eps (* 1/2 (PI)))))) (* -1 (/ (* (pow (cos (+ eps (* 1/2 (PI)))) 2) (sin eps)) (pow (sin (+ eps (* 1/2 (PI)))) 3)))))) (/ (* (cos (+ eps (* 1/2 (PI)))) (sin eps)) (pow (sin (+ eps (* 1/2 (PI)))) 2)))) (/ (sin eps) (sin (+ eps (* 1/2 (PI))))))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (* (pow (cos (+ eps (* 1/2 (PI)))) 2) (sin eps)) (pow (sin (+ eps (* 1/2 (PI)))) 3))) (* -1/2 (/ (sin eps) (sin (+ eps (* 1/2 (PI))))))))) (/ (* (cos (+ eps (* 1/2 (PI)))) (sin eps)) (pow (sin (+ eps (* 1/2 (PI)))) 2)))) (/ (sin eps) (sin (+ eps (* 1/2 (PI))))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (cos (+ eps (* 1/2 (PI)))) (+ (* -1 (/ (* (pow (cos (+ eps (* 1/2 (PI)))) 2) (sin eps)) (pow (sin (+ eps (* 1/2 (PI)))) 3))) (* -1/2 (/ (sin eps) (sin (+ eps (* 1/2 (PI)))))))) (sin (+ eps (* 1/2 (PI)))))) (+ (* -1/6 (/ (* (cos (+ eps (* 1/2 (PI)))) (sin eps)) (pow (sin (+ eps (* 1/2 (PI)))) 2))) (* 1/2 (/ (* (cos (+ eps (* 1/2 (PI)))) (sin eps)) (pow (sin (+ eps (* 1/2 (PI)))) 2))))))) (+ (* -1 (/ (* (pow (cos (+ eps (* 1/2 (PI)))) 2) (sin eps)) (pow (sin (+ eps (* 1/2 (PI)))) 3))) (* -1/2 (/ (sin eps) (sin (+ eps (* 1/2 (PI))))))))) (/ (* (cos (+ eps (* 1/2 (PI)))) (sin eps)) (pow (sin (+ eps (* 1/2 (PI)))) 2)))) (/ (sin eps) (sin (+ eps (* 1/2 (PI))))))
(* (pow x 3) (pow (sin eps) 3))
(* (pow x 3) (+ (* -1/2 (* (pow x 2) (pow (sin eps) 3))) (pow (sin eps) 3)))
(* (pow x 3) (+ (* (pow x 2) (+ (* -1/2 (pow (sin eps) 3)) (* 13/120 (* (pow x 2) (pow (sin eps) 3))))) (pow (sin eps) 3)))
(* (pow x 3) (+ (* (pow x 2) (+ (* -1/2 (pow (sin eps) 3)) (* (pow x 2) (+ (* -41/3024 (* (pow x 2) (pow (sin eps) 3))) (* 13/120 (pow (sin eps) 3)))))) (pow (sin eps) 3)))
(pow (cos eps) 3)
(+ (* -3/2 (* (pow x 2) (pow (cos eps) 3))) (pow (cos eps) 3))
(+ (* (pow x 2) (+ (* -3/2 (pow (cos eps) 3)) (* 7/8 (* (pow x 2) (pow (cos eps) 3))))) (pow (cos eps) 3))
(+ (* (pow x 2) (+ (* -3/2 (pow (cos eps) 3)) (* (pow x 2) (+ (* -61/240 (* (pow x 2) (pow (cos eps) 3))) (* 7/8 (pow (cos eps) 3)))))) (pow (cos eps) 3))
(* x (sin eps))
(* x (+ (sin eps) (* -1/6 (* (pow x 2) (sin eps)))))
(* x (+ (sin eps) (* (pow x 2) (+ (* -1/6 (sin eps)) (* 1/120 (* (pow x 2) (sin eps)))))))
(* x (+ (sin eps) (* (pow x 2) (+ (* -1/6 (sin eps)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (sin eps))) (* 1/120 (sin eps))))))))
(+ eps x)
(+ eps (* x (+ 1 (* 4/3 (* eps x)))))
(/ eps (- 1/2 (* 1/2 (cos (PI)))))
(+ (/ eps (- 1/2 (* 1/2 (cos (PI))))) (/ (* eps (* x (sin (PI)))) (pow (- 1/2 (* 1/2 (cos (PI)))) 2)))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (* eps (pow (sin (PI)) 2)) (pow (- 1/2 (* 1/2 (cos (PI)))) 3))) (/ (* eps (cos (PI))) (pow (- 1/2 (* 1/2 (cos (PI)))) 2))))) (* -1 (/ (* eps (sin (PI))) (pow (- 1/2 (* 1/2 (cos (PI)))) 2))))) (/ eps (- 1/2 (* 1/2 (cos (PI))))))
(+ (* x (- (* x (- (* -1 (* x (+ (* 2/3 (/ (* eps (sin (PI))) (pow (- 1/2 (* 1/2 (cos (PI)))) 2))) (+ (/ (* eps (* (cos (PI)) (sin (PI)))) (pow (- 1/2 (* 1/2 (cos (PI)))) 3)) (/ (* (sin (PI)) (+ (* -1 (/ (* eps (pow (sin (PI)) 2)) (pow (- 1/2 (* 1/2 (cos (PI)))) 3))) (/ (* eps (cos (PI))) (pow (- 1/2 (* 1/2 (cos (PI)))) 2)))) (- 1/2 (* 1/2 (cos (PI))))))))) (+ (* -1 (/ (* eps (pow (sin (PI)) 2)) (pow (- 1/2 (* 1/2 (cos (PI)))) 3))) (/ (* eps (cos (PI))) (pow (- 1/2 (* 1/2 (cos (PI)))) 2))))) (* -1 (/ (* eps (sin (PI))) (pow (- 1/2 (* 1/2 (cos (PI)))) 2))))) (/ eps (- 1/2 (* 1/2 (cos (PI))))))
(+ eps (* 1/2 (PI)))
(+ eps (+ x (* 1/2 (PI))))
(+ (* (cos eps) (* (cos x) (* (sin eps) (sin x)))) (* (pow (sin eps) 2) (pow (sin x) 2)))
(+ (* (cos eps) (* (cos x) (* (sin eps) (sin x)))) (+ (* (pow (cos eps) 2) (pow (cos x) 2)) (* (pow (sin eps) 2) (pow (sin x) 2))))
(/ (* (sin eps) (+ (* (cos eps) (* (cos x) (* (sin eps) (sin x)))) (+ (* (pow (cos eps) 2) (pow (cos x) 2)) (* (pow (sin eps) 2) (pow (sin x) 2))))) (* (cos x) (- (* (pow (cos eps) 3) (pow (cos x) 3)) (* (pow (sin eps) 3) (pow (sin x) 3)))))
(- (+ (/ (sin eps) (* (cos eps) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (/ (sin x) (cos x)))
(* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* (pow eps 2) x)
(* x (+ (/ eps x) (pow eps 2)))
(+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(* 4/3 (* eps (pow x 3)))
(* (pow x 3) (+ (* 4/3 eps) (/ 1 x)))
(* (pow x 3) (+ (* 4/3 eps) (+ (/ 1 x) (/ eps (pow x 2)))))
(* (pow x 3) (+ (* 4/3 eps) (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ eps (pow x 2))))))
(cos (* 2 (- (* 1/2 (PI)) x)))
(* -2 x)
(* x (- (/ (PI) x) 2))
(- 1/2 (* 1/2 (cos (* 2 (- (* 1/2 (PI)) x)))))
(/ (sin eps) (* (cos x) (cos (+ eps x))))
(sin (+ eps (+ x (* 1/2 (PI)))))
(/ (sin eps) (* (cos x) (sin (+ eps (+ x (* 1/2 (PI)))))))
(/ (sin eps) (sin (+ eps (+ x (* 1/2 (PI))))))
(* (pow (sin eps) 3) (pow (sin x) 3))
(* (pow (cos eps) 3) (pow (cos x) 3))
(* (sin eps) (sin x))
(* 4/3 (* eps (pow x 2)))
(* (pow x 2) (+ (* 4/3 eps) (/ 1 x)))
(* (pow x 2) (+ (* 4/3 eps) (+ (/ 1 x) (/ eps (pow x 2)))))
(/ eps (- 1/2 (* 1/2 (cos (* 2 (- (* 1/2 (PI)) x))))))
x
(* x (+ 1 (+ (* 1/2 (/ (PI) x)) (/ eps x))))
(* -1 (* x (+ (* -1 (/ eps x)) (* -1 (pow eps 2)))))
(* -1 (* (pow x 3) (- (* -4/3 eps) (/ 1 x))))
(* -1 (* (pow x 3) (+ (* -4/3 eps) (* -1 (/ (+ 1 (/ eps x)) x)))))
(* -1 (* (pow x 3) (+ (* -4/3 eps) (* -1 (/ (+ 1 (* -1 (/ (- (* -1 eps) (/ 1 x)) x))) x)))))
(cos (* 2 (+ (* -1 x) (* 1/2 (PI)))))
(* -1 (* x (+ 2 (* -1 (/ (PI) x)))))
(- 1/2 (* 1/2 (cos (* 2 (+ (* -1 x) (* 1/2 (PI)))))))
(/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))
(sin (- (+ eps (* 1/2 (PI))) (* -1 x)))
(/ (sin eps) (* (cos x) (sin (- (+ eps (* 1/2 (PI))) (* -1 x)))))
(/ (sin eps) (sin (- (+ eps (* 1/2 (PI))) (* -1 x))))
(* (pow x 2) (+ (* -1 (/ (- (* -1 (/ eps x)) 1) x)) (* 4/3 eps)))
(/ eps (- 1/2 (* 1/2 (cos (* 2 (+ (* -1 x) (* 1/2 (PI))))))))
(* -1 (* x (- (* -1 (/ (+ eps (* 1/2 (PI))) x)) 1)))
(* eps (* (cos x) (sin x)))
(* eps (+ (* eps (pow (sin x) 2)) (* (cos x) (sin x))))
(* eps (+ (* eps (+ (* eps (+ (* -1/2 (* (cos x) (sin x))) (* -1/6 (* (cos x) (sin x))))) (pow (sin x) 2))) (* (cos x) (sin x))))
(* eps (+ (* eps (+ (* eps (+ (* -1/2 (* (cos x) (sin x))) (+ (* -1/3 (* eps (pow (sin x) 2))) (* -1/6 (* (cos x) (sin x)))))) (pow (sin x) 2))) (* (cos x) (sin x))))
(pow (cos x) 2)
(+ (* eps (* (cos x) (sin x))) (pow (cos x) 2))
(+ (* eps (+ (* eps (+ (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (* (cos x) (sin x)))) (pow (cos x) 2))
(+ (* eps (+ (* eps (+ (* -1 (pow (cos x) 2)) (+ (* eps (+ (* -1/2 (* (cos x) (sin x))) (* -1/6 (* (cos x) (sin x))))) (pow (sin x) 2)))) (* (cos x) (sin x)))) (pow (cos x) 2))
(/ eps (pow (cos x) 2))
(* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3))))
(* eps (+ (* eps (+ (* eps (- (+ (* 1/2 (/ 1 (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2))))) (/ (sin x) (pow (cos x) 3)))) (/ 1 (pow (cos x) 2))))
(* eps (+ (* eps (+ (* eps (- (+ (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* eps (- (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* -1/3 (/ (sin x) (pow (cos x) 3)))) (+ (* -3/2 (/ (sin x) (pow (cos x) 3))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 5)))))) (/ (pow (sin x) 2) (pow (cos x) 4)))) (* 1/6 (/ 1 (pow (cos x) 2))))) (/ (sin x) (pow (cos x) 3)))) (/ 1 (pow (cos x) 2))))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* -1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* -1/3 (/ (sin x) (cos x))) (+ (* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (* eps x)))
(pow eps 2)
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (pow x 2))
(+ 1 (+ (* eps (* x (+ 1 (* 4/3 (pow x 2))))) (pow x 2)))
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))
(sin (+ x (* 1/2 (PI))))
(+ (sin (+ x (* 1/2 (PI)))) (* eps (cos (+ x (* 1/2 (PI))))))
(+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (cos (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin (+ x (* 1/2 (PI)))))))))
(+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (cos (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin (+ x (* 1/2 (PI))))) (* -1/6 (* eps (cos (+ x (* 1/2 (PI)))))))))))
(/ eps (* (cos x) (sin (+ x (* 1/2 (PI))))))
(* eps (+ (* -1 (/ (* eps (cos (+ x (* 1/2 (PI))))) (* (cos x) (pow (sin (+ x (* 1/2 (PI)))) 2)))) (/ 1 (* (cos x) (sin (+ x (* 1/2 (PI))))))))
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (* (cos x) (sin (+ x (* 1/2 (PI))))))) (+ (* -1 (/ (pow (cos (+ x (* 1/2 (PI)))) 2) (* (cos x) (pow (sin (+ x (* 1/2 (PI)))) 3)))) (* 1/6 (/ 1 (* (cos x) (sin (+ x (* 1/2 (PI)))))))))) (/ (cos (+ x (* 1/2 (PI)))) (* (cos x) (pow (sin (+ x (* 1/2 (PI)))) 2))))) (/ 1 (* (cos x) (sin (+ x (* 1/2 (PI))))))))
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1/6 (/ (cos (+ x (* 1/2 (PI)))) (* (cos x) (pow (sin (+ x (* 1/2 (PI)))) 2)))) (+ (* 1/2 (/ (cos (+ x (* 1/2 (PI)))) (* (cos x) (pow (sin (+ x (* 1/2 (PI)))) 2)))) (/ (* (cos (+ x (* 1/2 (PI)))) (- (* 1/2 (/ 1 (* (cos x) (sin (+ x (* 1/2 (PI))))))) (+ (* -1 (/ (pow (cos (+ x (* 1/2 (PI)))) 2) (* (cos x) (pow (sin (+ x (* 1/2 (PI)))) 3)))) (* 1/6 (/ 1 (* (cos x) (sin (+ x (* 1/2 (PI)))))))))) (sin (+ x (* 1/2 (PI))))))))) (* 1/2 (/ 1 (* (cos x) (sin (+ x (* 1/2 (PI)))))))) (+ (* -1 (/ (pow (cos (+ x (* 1/2 (PI)))) 2) (* (cos x) (pow (sin (+ x (* 1/2 (PI)))) 3)))) (* 1/6 (/ 1 (* (cos x) (sin (+ x (* 1/2 (PI)))))))))) (/ (cos (+ x (* 1/2 (PI)))) (* (cos x) (pow (sin (+ x (* 1/2 (PI)))) 2))))) (/ 1 (* (cos x) (sin (+ x (* 1/2 (PI))))))))
(/ eps (sin (+ x (* 1/2 (PI)))))
(* eps (+ (* -1 (/ (* eps (cos (+ x (* 1/2 (PI))))) (pow (sin (+ x (* 1/2 (PI)))) 2))) (/ 1 (sin (+ x (* 1/2 (PI)))))))
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (sin (+ x (* 1/2 (PI)))))) (+ (* -1 (/ (pow (cos (+ x (* 1/2 (PI)))) 2) (pow (sin (+ x (* 1/2 (PI)))) 3))) (* 1/6 (/ 1 (sin (+ x (* 1/2 (PI))))))))) (/ (cos (+ x (* 1/2 (PI)))) (pow (sin (+ x (* 1/2 (PI)))) 2)))) (/ 1 (sin (+ x (* 1/2 (PI)))))))
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1/6 (/ (cos (+ x (* 1/2 (PI)))) (pow (sin (+ x (* 1/2 (PI)))) 2))) (+ (* 1/2 (/ (cos (+ x (* 1/2 (PI)))) (pow (sin (+ x (* 1/2 (PI)))) 2))) (/ (* (cos (+ x (* 1/2 (PI)))) (- (* 1/2 (/ 1 (sin (+ x (* 1/2 (PI)))))) (+ (* -1 (/ (pow (cos (+ x (* 1/2 (PI)))) 2) (pow (sin (+ x (* 1/2 (PI)))) 3))) (* 1/6 (/ 1 (sin (+ x (* 1/2 (PI))))))))) (sin (+ x (* 1/2 (PI))))))))) (* 1/2 (/ 1 (sin (+ x (* 1/2 (PI))))))) (+ (* -1 (/ (pow (cos (+ x (* 1/2 (PI)))) 2) (pow (sin (+ x (* 1/2 (PI)))) 3))) (* 1/6 (/ 1 (sin (+ x (* 1/2 (PI))))))))) (/ (cos (+ x (* 1/2 (PI)))) (pow (sin (+ x (* 1/2 (PI)))) 2)))) (/ 1 (sin (+ x (* 1/2 (PI)))))))
(* (pow eps 3) (pow (sin x) 3))
(* (pow eps 3) (+ (* -1/2 (* (pow eps 2) (pow (sin x) 3))) (pow (sin x) 3)))
(* (pow eps 3) (+ (* (pow eps 2) (+ (* -1/2 (pow (sin x) 3)) (* 13/120 (* (pow eps 2) (pow (sin x) 3))))) (pow (sin x) 3)))
(* (pow eps 3) (+ (* (pow eps 2) (+ (* -1/2 (pow (sin x) 3)) (* (pow eps 2) (+ (* -41/3024 (* (pow eps 2) (pow (sin x) 3))) (* 13/120 (pow (sin x) 3)))))) (pow (sin x) 3)))
(pow (cos x) 3)
(+ (* -3/2 (* (pow eps 2) (pow (cos x) 3))) (pow (cos x) 3))
(+ (* (pow eps 2) (+ (* -3/2 (pow (cos x) 3)) (* 7/8 (* (pow eps 2) (pow (cos x) 3))))) (pow (cos x) 3))
(+ (* (pow eps 2) (+ (* -3/2 (pow (cos x) 3)) (* (pow eps 2) (+ (* -61/240 (* (pow eps 2) (pow (cos x) 3))) (* 7/8 (pow (cos x) 3)))))) (pow (cos x) 3))
(* eps (sin x))
(* eps (+ (sin x) (* -1/6 (* (pow eps 2) (sin x)))))
(* eps (+ (sin x) (* (pow eps 2) (+ (* -1/6 (sin x)) (* 1/120 (* (pow eps 2) (sin x)))))))
(* eps (+ (sin x) (* (pow eps 2) (+ (* -1/6 (sin x)) (* (pow eps 2) (+ (* -1/5040 (* (pow eps 2) (sin x))) (* 1/120 (sin x))))))))
(+ x (* eps (+ 1 (* 4/3 (pow x 2)))))
(+ x (* 1/2 (PI)))
(* 1/2 (PI))
(* (pow eps 2) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))
(* (pow eps 2) (+ x (/ 1 eps)))
(* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* eps (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))
(* eps (* x (+ 1 (* 4/3 (pow x 2)))))
(* eps (+ (* x (+ 1 (* 4/3 (pow x 2)))) (+ (/ 1 eps) (/ (pow x 2) eps))))
(* eps (+ 1 (* 4/3 (pow x 2))))
(* eps (+ 1 (+ (* 4/3 (pow x 2)) (/ x eps))))
(* eps (+ 1 (+ (* 1/2 (/ (PI) eps)) (/ x eps))))
(* eps (+ 1 (* 1/2 (/ (PI) eps))))
(/ (* (sin (neg (* -1 eps))) (+ (* (cos eps) (* (cos x) (* (sin eps) (sin x)))) (+ (* (pow (cos eps) 2) (pow (cos x) 2)) (* (pow (sin eps) 2) (pow (sin x) 2))))) (* (cos x) (- (* (pow (cos eps) 3) (pow (cos x) 3)) (* (pow (sin eps) 3) (pow (sin x) 3)))))
(* -1 (* eps (+ (* -1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)))))
(* -1 (* eps (* x (- (* -4/3 (pow x 2)) 1))))
(* -1 (* eps (+ (* -1 (/ (+ 1 (pow x 2)) eps)) (* x (- (* -4/3 (pow x 2)) 1)))))
(/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))
(sin (- (+ x (* 1/2 (PI))) (* -1 eps)))
(/ (sin (neg (* -1 eps))) (* (cos x) (sin (- (+ x (* 1/2 (PI))) (* -1 eps)))))
(/ (sin (neg (* -1 eps))) (sin (- (+ x (* 1/2 (PI))) (* -1 eps))))
(* -1 (* eps (- (* -4/3 (pow x 2)) 1)))
(* -1 (* eps (- (+ (* -4/3 (pow x 2)) (* -1 (/ x eps))) 1)))
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (PI))) eps)) 1)))
(* -1 (* eps (- (* -1/2 (/ (PI) eps)) 1)))

Outputs
(* x (* (cos eps) (sin eps)))
(.f64 (.f64 x (cos.f64 eps)) (sin.f64 eps))
(* x (+ (* x (pow (sin eps) 2)) (* (cos eps) (sin eps))))
(.f64 (fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) x (.f64 (sin.f64 eps) (cos.f64 eps))) x)
(* x (+ (* x (+ (* x (* (cos eps) (+ (* -1/2 (sin eps)) (* -1/6 (sin eps))))) (pow (sin eps) 2))) (* (cos eps) (sin eps))))
(.f64 (fma.f64 (fma.f64 (.f64 x (.f64 (sin.f64 eps) #s(literal -2/3 binary64))) (cos.f64 eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) x (.f64 (sin.f64 eps) (cos.f64 eps))) x)
(* x (+ (* x (+ (* x (+ (* -1/3 (* x (pow (sin eps) 2))) (* (cos eps) (+ (* -1/2 (sin eps)) (* -1/6 (sin eps)))))) (pow (sin eps) 2))) (* (cos eps) (sin eps))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) x (.f64 (.f64 (sin.f64 eps) #s(literal -2/3 binary64)) (cos.f64 eps))) x (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) x (*.f64 (sin.f64 eps) (cos.f64 eps))) x)
(pow (cos eps) 2)
(pow.f64 (cos.f64 eps) #s(literal 2 binary64))
(+ (* x (* (cos eps) (sin eps))) (pow (cos eps) 2))
(fma.f64 (*.f64 x (cos.f64 eps)) (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))
(+ (* x (+ (* x (+ (* -1 (pow (cos eps) 2)) (pow (sin eps) 2))) (* (cos eps) (sin eps)))) (pow (cos eps) 2))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) x (*.f64 (sin.f64 eps) (cos.f64 eps))) x (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))
(+ (* x (+ (* x (+ (* -1 (pow (cos eps) 2)) (+ (* x (* (cos eps) (+ (* -1/2 (sin eps)) (* -1/6 (sin eps))))) (pow (sin eps) 2)))) (* (cos eps) (sin eps)))) (pow (cos eps) 2))
(fma.f64 (fma.f64 (fma.f64 (.f64 x (.f64 (sin.f64 eps) #s(literal -2/3 binary64))) (cos.f64 eps) (fma.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) x (*.f64 (sin.f64 eps) (cos.f64 eps))) x (pow.f64 (cos.f64 eps) #s(literal 2 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 (+ (* x (- (/ (* (sin eps) (+ (* -1 (pow (cos eps) 2)) (pow (sin eps) 2))) (pow (cos eps) 3)) (/ (* (sin eps) (+ (* -3/2 (pow (cos eps) 3)) (* -1/2 (pow (cos eps) 3)))) (pow (cos eps) 4)))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (.f64 (sin.f64 eps) (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))) (/.f64 (.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 4 binary64))))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (+ (* x (- (+ (* x (- (/ (* (sin eps) (+ (* -1/2 (sin eps)) (* -1/6 (sin eps)))) (pow (cos eps) 2)) (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (/ (* (pow (sin eps) 2) (+ (* -3/2 (pow (cos eps) 3)) (* -1/2 (pow (cos eps) 3)))) (pow (cos eps) 5))))) (/ (* (sin eps) (+ (* -1 (pow (cos eps) 2)) (pow (sin eps) 2))) (pow (cos eps) 3))) (/ (* (sin eps) (+ (* -3/2 (pow (cos eps) 3)) (* -1/2 (pow (cos eps) 3)))) (pow (cos eps) 4)))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) #s(literal -2/3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 5 binary64))) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64))) (pow.f64 (cos.f64 eps) #s(literal 4 binary64))))) x (.f64 (sin.f64 eps) (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))) (/.f64 (.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 4 binary64)))))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (*.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 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal -1/3 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64))) (pow.f64 (cos.f64 eps) #s(literal 4 binary64))))) x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
eps
(+ eps (* (pow eps 2) x))
(fma.f64 (*.f64 eps eps) x eps)
(+ eps (* x (+ (* eps x) (pow eps 2))))
(fma.f64 (*.f64 eps (+.f64 eps x)) x eps)
(+ eps (* x (+ (* x (+ eps (* 4/3 (* (pow eps 2) x)))) (pow eps 2))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 (.f64 eps eps) x) eps) x (*.f64 eps eps)) x eps)
1
#s(literal 1 binary64)
(+ 1 (* eps x))
(fma.f64 eps x #s(literal 1 binary64))
(+ 1 (* x (+ eps x)))
(fma.f64 (+.f64 eps x) x #s(literal 1 binary64))
(+ 1 (* x (+ eps (* x (+ 1 (* 4/3 (* eps x)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) (*.f64 eps x) #s(literal 1 binary64)) x eps) x #s(literal 1 binary64))
(cos (PI))
#s(literal -1 binary64)
(+ (cos (PI)) (* 2 (* x (sin (PI)))))
#s(literal -1 binary64)
(+ (cos (PI)) (* x (- (* -2 (* x (cos (PI)))) (* -2 (sin (PI))))))
(fma.f64 (*.f64 #s(literal 2 binary64) x) x #s(literal -1 binary64))
(+ (cos (PI)) (* x (- (* x (+ (* -2 (cos (PI))) (* -4/3 (* x (sin (PI)))))) (* -2 (sin (PI))))))
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#s(literal 1 binary64)
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(*.f64 (fma.f64 #s(literal 4/3 binary64) eps (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* 4/3 eps) (+ (/ 1 x) (/ eps (pow x 2)))))
(.f64 (+.f64 (fma.f64 #s(literal 4/3 binary64) eps (/.f64 eps (.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* 4/3 eps) (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ eps (pow x 2))))))
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(cos (* 2 (- (* 1/2 (PI)) x)))
(cos.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x) #s(literal -2 binary64)))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* x (- (/ (PI) x) 2))
(*.f64 (-.f64 (/.f64 (PI.f64) x) #s(literal 2 binary64)) x)
(- 1/2 (* 1/2 (cos (* 2 (- (* 1/2 (PI)) x)))))
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(/ (sin eps) (* (cos x) (cos (+ eps x))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(sin (+ eps (+ x (* 1/2 (PI)))))
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(/ (sin eps) (* (cos x) (sin (+ eps (+ x (* 1/2 (PI)))))))
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(* (pow (sin eps) 3) (pow (sin x) 3))
(pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) #s(literal 3 binary64))
(* (pow (cos eps) 3) (pow (cos x) 3))
(pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 3 binary64))
(* (sin eps) (sin x))
(*.f64 (sin.f64 eps) (sin.f64 x))
(* 4/3 (* eps (pow x 2)))
(.f64 (.f64 (*.f64 x x) #s(literal 4/3 binary64)) eps)
(* (pow x 2) (+ (* 4/3 eps) (/ 1 x)))
(.f64 (.f64 (fma.f64 #s(literal 4/3 binary64) eps (/.f64 #s(literal 1 binary64) x)) x) x)
(* (pow x 2) (+ (* 4/3 eps) (+ (/ 1 x) (/ eps (pow x 2)))))
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x
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(* -1 (* x (+ (* -1 (/ eps x)) (* -1 (pow eps 2)))))
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 eps eps (/.f64 eps x))))
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(cos (* 2 (+ (* -1 x) (* 1/2 (PI)))))
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(* -1 (* x (+ 2 (* -1 (/ (PI) x)))))
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(/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))
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(* eps (+ (* eps (pow (sin x) 2)) (* (cos x) (sin x))))
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(* eps (+ (* eps (+ (* eps (+ (* -1/2 (* (cos x) (sin x))) (+ (* -1/3 (* eps (pow (sin x) 2))) (* -1/6 (* (cos x) (sin x)))))) (pow (sin x) 2))) (* (cos x) (sin x))))
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(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
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(/ eps (pow (cos x) 2))
(/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3))))
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(* eps (+ (* eps (+ (* eps (- (+ (* 1/2 (/ 1 (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2))))) (/ (sin x) (pow (cos x) 3)))) (/ 1 (pow (cos x) 2))))
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(* eps (+ (* eps (+ (* eps (- (+ (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* eps (- (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* -1/3 (/ (sin x) (pow (cos x) 3)))) (+ (* -3/2 (/ (sin x) (pow (cos x) 3))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 5)))))) (/ (pow (sin x) 2) (pow (cos x) 4)))) (* 1/6 (/ 1 (pow (cos x) 2))))) (/ (sin x) (pow (cos x) 3)))) (/ 1 (pow (cos x) 2))))
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(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* eps (- (+ 1 (* -1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* -1/3 (/ (sin x) (cos x))) (+ (* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
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(* eps (+ 1 (* eps x)))
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(pow eps 2)
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(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
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(+ 1 (pow x 2))
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(+ 1 (+ (* eps (* x (+ 1 (* 4/3 (pow x 2))))) (pow x 2)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4/3 binary64) x) eps (fma.f64 x x #s(literal 1 binary64)))
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 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 4 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) eps (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))
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(sin (+ x (* 1/2 (PI))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))
(+ (sin (+ x (* 1/2 (PI)))) (* eps (cos (+ x (* 1/2 (PI))))))
(fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) eps (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))
(+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (cos (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin (+ x (* 1/2 (PI)))))))))
(fma.f64 (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))) eps (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))
(+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (cos (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin (+ x (* 1/2 (PI))))) (* -1/6 (* eps (cos (+ x (* 1/2 (PI)))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) eps) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal -1/2 binary64))) eps (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))) eps (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))
(/ eps (* (cos x) (sin (+ x (* 1/2 (PI))))))
(/.f64 (/.f64 eps (cos.f64 x)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))
(* eps (+ (* -1 (/ (* eps (cos (+ x (* 1/2 (PI))))) (* (cos x) (pow (sin (+ x (* 1/2 (PI)))) 2)))) (/ 1 (* (cos x) (sin (+ x (* 1/2 (PI))))))))
(*.f64 (fma.f64 (neg.f64 (/.f64 eps (cos.f64 x))) (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))) eps)
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (* (cos x) (sin (+ x (* 1/2 (PI))))))) (+ (* -1 (/ (pow (cos (+ x (* 1/2 (PI)))) 2) (* (cos x) (pow (sin (+ x (* 1/2 (PI)))) 3)))) (* 1/6 (/ 1 (* (cos x) (sin (+ x (* 1/2 (PI)))))))))) (/ (cos (+ x (* 1/2 (PI)))) (* (cos x) (pow (sin (+ x (* 1/2 (PI)))) 2))))) (/ 1 (* (cos x) (sin (+ x (* 1/2 (PI))))))))
(.f64 (fma.f64 (-.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (cos.f64 x))) (fma.f64 (/.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64)) (.f64 (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 3 binary64)) (cos.f64 x))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (cos.f64 x))))) eps) (/.f64 (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (cos.f64 x)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64)))) eps (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))) eps)
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1/6 (/ (cos (+ x (* 1/2 (PI)))) (* (cos x) (pow (sin (+ x (* 1/2 (PI)))) 2)))) (+ (* 1/2 (/ (cos (+ x (* 1/2 (PI)))) (* (cos x) (pow (sin (+ x (* 1/2 (PI)))) 2)))) (/ (* (cos (+ x (* 1/2 (PI)))) (- (* 1/2 (/ 1 (* (cos x) (sin (+ x (* 1/2 (PI))))))) (+ (* -1 (/ (pow (cos (+ x (* 1/2 (PI)))) 2) (* (cos x) (pow (sin (+ x (* 1/2 (PI)))) 3)))) (* 1/6 (/ 1 (* (cos x) (sin (+ x (* 1/2 (PI)))))))))) (sin (+ x (* 1/2 (PI))))))))) (* 1/2 (/ 1 (* (cos x) (sin (+ x (* 1/2 (PI)))))))) (+ (* -1 (/ (pow (cos (+ x (* 1/2 (PI)))) 2) (* (cos x) (pow (sin (+ x (* 1/2 (PI)))) 3)))) (* 1/6 (/ 1 (* (cos x) (sin (+ x (* 1/2 (PI)))))))))) (/ (cos (+ x (* 1/2 (PI)))) (* (cos x) (pow (sin (+ x (* 1/2 (PI)))) 2))))) (/ 1 (* (cos x) (sin (+ x (* 1/2 (PI))))))))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (neg.f64 eps) (fma.f64 (/.f64 (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (cos.f64 x)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64))) #s(literal 1/3 binary64) (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (cos.f64 x))) (fma.f64 (/.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64)) (.f64 (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 3 binary64)) (cos.f64 x))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (cos.f64 x))))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))))) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (cos.f64 x))) (fma.f64 (/.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64)) (.f64 (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 3 binary64)) (cos.f64 x))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (cos.f64 x)))))) eps) (/.f64 (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (cos.f64 x)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64)))) eps (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))) eps)
(/ eps (sin (+ x (* 1/2 (PI)))))
(/.f64 eps (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))
(* eps (+ (* -1 (/ (* eps (cos (+ x (* 1/2 (PI))))) (pow (sin (+ x (* 1/2 (PI)))) 2))) (/ 1 (sin (+ x (* 1/2 (PI)))))))
(*.f64 (fma.f64 (neg.f64 eps) (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))) eps)
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (sin (+ x (* 1/2 (PI)))))) (+ (* -1 (/ (pow (cos (+ x (* 1/2 (PI)))) 2) (pow (sin (+ x (* 1/2 (PI)))) 3))) (* 1/6 (/ 1 (sin (+ x (* 1/2 (PI))))))))) (/ (cos (+ x (* 1/2 (PI)))) (pow (sin (+ x (* 1/2 (PI)))) 2)))) (/ 1 (sin (+ x (* 1/2 (PI)))))))
(.f64 (fma.f64 (-.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))) (fma.f64 (/.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))))) eps) (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64)))) eps (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))) eps)
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1/6 (/ (cos (+ x (* 1/2 (PI)))) (pow (sin (+ x (* 1/2 (PI)))) 2))) (+ (* 1/2 (/ (cos (+ x (* 1/2 (PI)))) (pow (sin (+ x (* 1/2 (PI)))) 2))) (/ (* (cos (+ x (* 1/2 (PI)))) (- (* 1/2 (/ 1 (sin (+ x (* 1/2 (PI)))))) (+ (* -1 (/ (pow (cos (+ x (* 1/2 (PI)))) 2) (pow (sin (+ x (* 1/2 (PI)))) 3))) (* 1/6 (/ 1 (sin (+ x (* 1/2 (PI))))))))) (sin (+ x (* 1/2 (PI))))))))) (* 1/2 (/ 1 (sin (+ x (* 1/2 (PI))))))) (+ (* -1 (/ (pow (cos (+ x (* 1/2 (PI)))) 2) (pow (sin (+ x (* 1/2 (PI)))) 3))) (* 1/6 (/ 1 (sin (+ x (* 1/2 (PI))))))))) (/ (cos (+ x (* 1/2 (PI)))) (pow (sin (+ x (* 1/2 (PI)))) 2)))) (/ 1 (sin (+ x (* 1/2 (PI)))))))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (neg.f64 eps) (fma.f64 (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64))) #s(literal 1/3 binary64) (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))) (fma.f64 (/.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))) (fma.f64 (/.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))))) eps) (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64)))) eps (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))) eps)
(* (pow eps 3) (pow (sin x) 3))
(pow.f64 (*.f64 (sin.f64 x) eps) #s(literal 3 binary64))
(* (pow eps 3) (+ (* -1/2 (* (pow eps 2) (pow (sin x) 3))) (pow (sin x) 3)))
(.f64 (.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) eps #s(literal 1 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ (* (pow eps 2) (+ (* -1/2 (pow (sin x) 3)) (* 13/120 (* (pow eps 2) (pow (sin x) 3))))) (pow (sin x) 3)))
(.f64 (fma.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 #s(literal 13/120 binary64) (.f64 eps eps) #s(literal -1/2 binary64))) (.f64 eps eps) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ (* (pow eps 2) (+ (* -1/2 (pow (sin x) 3)) (* (pow eps 2) (+ (* -41/3024 (* (pow eps 2) (pow (sin x) 3))) (* 13/120 (pow (sin x) 3)))))) (pow (sin x) 3)))
(.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 #s(literal -41/3024 binary64) (.f64 eps eps) #s(literal 13/120 binary64))) (.f64 eps eps) (.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/2 binary64))) (.f64 eps eps) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (pow.f64 eps #s(literal 3 binary64)))
(pow (cos x) 3)
(pow.f64 (cos.f64 x) #s(literal 3 binary64))
(+ (* -3/2 (* (pow eps 2) (pow (cos x) 3))) (pow (cos x) 3))
(.f64 (fma.f64 #s(literal -3/2 binary64) (.f64 eps eps) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))
(+ (* (pow eps 2) (+ (* -3/2 (pow (cos x) 3)) (* 7/8 (* (pow eps 2) (pow (cos x) 3))))) (pow (cos x) 3))
(fma.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 #s(literal 7/8 binary64) (.f64 eps eps) #s(literal -3/2 binary64))) (*.f64 eps eps) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))
(+ (* (pow eps 2) (+ (* -3/2 (pow (cos x) 3)) (* (pow eps 2) (+ (* -61/240 (* (pow eps 2) (pow (cos x) 3))) (* 7/8 (pow (cos x) 3)))))) (pow (cos x) 3))
(fma.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 #s(literal -61/240 binary64) (.f64 eps eps) #s(literal 7/8 binary64))) (.f64 eps eps) (.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -3/2 binary64))) (*.f64 eps eps) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))
(* eps (sin x))
(*.f64 (sin.f64 x) eps)
(* eps (+ (sin x) (* -1/6 (* (pow eps 2) (sin x)))))
(.f64 (.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) eps) eps #s(literal 1 binary64)) (sin.f64 x)) eps)
(* eps (+ (sin x) (* (pow eps 2) (+ (* -1/6 (sin x)) (* 1/120 (* (pow eps 2) (sin x)))))))
(fma.f64 (pow.f64 eps #s(literal 3 binary64)) (.f64 (sin.f64 x) (fma.f64 #s(literal 1/120 binary64) (.f64 eps eps) #s(literal -1/6 binary64))) (*.f64 (sin.f64 x) eps))
(* eps (+ (sin x) (* (pow eps 2) (+ (* -1/6 (sin x)) (* (pow eps 2) (+ (* -1/5040 (* (pow eps 2) (sin x))) (* 1/120 (sin x))))))))
(fma.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (.f64 (sin.f64 x) (fma.f64 #s(literal -1/5040 binary64) (.f64 eps eps) #s(literal 1/120 binary64))) (.f64 eps eps) (.f64 #s(literal -1/6 binary64) (sin.f64 x))) (*.f64 (sin.f64 x) eps))
(+ x (* eps (+ 1 (* 4/3 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 4/3 binary64) (*.f64 eps x) #s(literal 1 binary64)) x eps)
(+ x (* 1/2 (PI)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) x)
(* 1/2 (PI))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(* (pow eps 2) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(.f64 (.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) (/.f64 (sin.f64 x) (cos.f64 x))) eps) eps)
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))
(fma.f64 (fma.f64 (/.f64 (sin.f64 x) eps) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 eps eps) eps)
(* (pow eps 2) (+ x (/ 1 eps)))
(fma.f64 (*.f64 eps eps) x eps)
(* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(*.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) (/.f64 (sin.f64 x) (cos.f64 x))) eps)
(* eps (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))
(fma.f64 (fma.f64 (/.f64 (sin.f64 x) eps) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) (/.f64 (sin.f64 x) (cos.f64 x)))) eps #s(literal 1 binary64))
(* eps (* x (+ 1 (* 4/3 (pow x 2)))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4/3 binary64) x) eps)
(* eps (+ (* x (+ 1 (* 4/3 (pow x 2)))) (+ (/ 1 eps) (/ (pow x 2) eps))))
(*.f64 (+.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) eps) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4/3 binary64) x)) eps)
(* eps (+ 1 (* 4/3 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1 binary64)) eps)
(* eps (+ 1 (+ (* 4/3 (pow x 2)) (/ x eps))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 4/3 binary64) (/.f64 x eps)) eps eps)
(* eps (+ 1 (+ (* 1/2 (/ (PI) eps)) (/ x eps))))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x) eps) eps eps)
(* eps (+ 1 (* 1/2 (/ (PI) eps))))
(*.f64 (fma.f64 (/.f64 (PI.f64) eps) #s(literal 1/2 binary64) #s(literal 1 binary64)) eps)
(/ (* (sin (neg (* -1 eps))) (+ (* (cos eps) (* (cos x) (* (sin eps) (sin x)))) (+ (* (pow (cos eps) 2) (pow (cos x) 2)) (* (pow (sin eps) 2) (pow (sin x) 2))))) (* (cos x) (- (* (pow (cos eps) 3) (pow (cos x) 3)) (* (pow (sin eps) 3) (pow (sin x) 3)))))
(/.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (cos.f64 x)) (cos.f64 eps) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (sin.f64 eps)) (cos.f64 x)) (-.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) #s(literal 3 binary64))))
(* -1 (* eps (+ (* -1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)))))
(*.f64 eps (+.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps)))
(* -1 (* eps (* x (- (* -4/3 (pow x 2)) 1))))
(.f64 (.f64 (neg.f64 x) eps) (-.f64 (.f64 (.f64 x x) #s(literal -4/3 binary64)) #s(literal 1 binary64)))
(* -1 (* eps (+ (* -1 (/ (+ 1 (pow x 2)) eps)) (* x (- (* -4/3 (pow x 2)) 1)))))
(.f64 (neg.f64 eps) (fma.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -4/3 binary64)) #s(literal 1 binary64)) x (/.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 eps))))
(/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(sin (- (+ x (* 1/2 (PI))) (* -1 eps)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x)))
(/ (sin (neg (* -1 eps))) (* (cos x) (sin (- (+ x (* 1/2 (PI))) (* -1 eps)))))
(/.f64 (sin.f64 eps) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x))) (cos.f64 x)))
(/ (sin (neg (* -1 eps))) (sin (- (+ x (* 1/2 (PI))) (* -1 eps))))
(/.f64 (sin.f64 eps) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x))))
(* -1 (* eps (- (* -4/3 (pow x 2)) 1)))
(.f64 (neg.f64 eps) (-.f64 (.f64 (*.f64 x x) #s(literal -4/3 binary64)) #s(literal 1 binary64)))
(* -1 (* eps (- (+ (* -4/3 (pow x 2)) (* -1 (/ x eps))) 1)))
(.f64 (neg.f64 eps) (-.f64 (.f64 (*.f64 x x) #s(literal -4/3 binary64)) (+.f64 (/.f64 x eps) #s(literal 1 binary64))))
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (PI))) eps)) 1)))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x) (neg.f64 eps)) #s(literal 1 binary64)))
(* -1 (* eps (- (* -1/2 (/ (PI) eps)) 1)))
(.f64 (neg.f64 eps) (-.f64 (.f64 (/.f64 (PI.f64) eps) #s(literal -1/2 binary64)) #s(literal 1 binary64)))

rewrite270.0ms (1.9%)

Memory

13.1MiB live, 148.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	525
0	124	499
1	606	340
2	6122	340
0	8686	334

Stop Event

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

Counts

26 → 612

Calls

Call 1

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

Outputs
(.f64 (cos.f64 (-.f64 x eps)) (.f64 (sin.f64 x) (sin.f64 eps)))
(.f64 (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 (-.f64 x eps))))
(.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 (-.f64 x eps)))
(.f64 (sin.f64 eps) (.f64 (sin.f64 x) (cos.f64 (-.f64 x eps))))
(.f64 (sin.f64 eps) (fma.f64 (sin.f64 eps) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (sin.f64 x) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(.f64 (sin.f64 eps) (fma.f64 (sin.f64 x) (.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x))) (cos.f64 (-.f64 x eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (sin.f64 eps)) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 4 binary64))) (-.f64 (.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (sin.f64 eps)) (sin.f64 x)) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (sin.f64 eps)) (sin.f64 x)) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (sin.f64 eps)) (sin.f64 x)) #s(literal 2 binary64)))) (neg.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (sin.f64 eps)) (sin.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (sin.f64 eps)) (sin.f64 x)) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (.f64 (cos.f64 x) (cos.f64 eps)))) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (sin.f64 eps)) (sin.f64 x)) #s(literal 2 binary64))) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (sin.f64 eps)) (sin.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (sin.f64 eps)) (sin.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 4 binary64)) (.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (sin.f64 eps)) (sin.f64 x)) #s(literal 3 binary64))) (+.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (sin.f64 eps)) (sin.f64 x)) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (.f64 (cos.f64 x) (cos.f64 eps)))) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 4 binary64))))
(fma.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (sin.f64 eps)) (sin.f64 x) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)))
(fma.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 eps)) (cos.f64 x) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)))
(fma.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (sin.f64 eps)) (sin.f64 eps) (.f64 (neg.f64 (.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x))) (.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (sin.f64 eps)) (sin.f64 eps) (.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 1 binary64)) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 1 binary64)) (.f64 (neg.f64 (.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 1 binary64)) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 1 binary64)) (.f64 (.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (neg.f64 (.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (neg.f64 (.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (.f64 (neg.f64 (.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (neg.f64 (.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (neg.f64 (.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (.f64 (.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (neg.f64 (fabs.f64 (.f64 (sin.f64 x) (sin.f64 eps)))) (neg.f64 (fabs.f64 (.f64 (sin.f64 x) (sin.f64 eps)))) (.f64 (neg.f64 (.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (neg.f64 (fabs.f64 (.f64 (sin.f64 x) (sin.f64 eps)))) (neg.f64 (fabs.f64 (.f64 (sin.f64 x) (sin.f64 eps)))) (.f64 (.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (fabs.f64 (fabs.f64 (.f64 (sin.f64 x) (sin.f64 eps)))) (fabs.f64 (fabs.f64 (.f64 (sin.f64 x) (sin.f64 eps)))) (.f64 (neg.f64 (.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (fabs.f64 (fabs.f64 (.f64 (sin.f64 x) (sin.f64 eps)))) (fabs.f64 (fabs.f64 (.f64 (sin.f64 x) (sin.f64 eps)))) (.f64 (.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (sin.f64 x)) (sin.f64 x) (.f64 (neg.f64 (.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x))) (.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (sin.f64 x)) (sin.f64 x) (.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 eps) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)))
(fma.f64 (.f64 (sin.f64 eps) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (sin.f64 eps) (.f64 (neg.f64 (.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x))) (.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (.f64 (sin.f64 eps) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (sin.f64 eps) (.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (.f64 (sin.f64 x) (.f64 (cos.f64 x) (cos.f64 eps))) (sin.f64 eps) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (neg.f64 (.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 (neg.f64 (.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (.f64 (neg.f64 (.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (.f64 (.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (fabs.f64 (.f64 (sin.f64 x) (sin.f64 eps))) (fabs.f64 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 (neg.f64 (.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (fabs.f64 (.f64 (sin.f64 x) (sin.f64 eps))) (fabs.f64 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 (.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (sin.f64 x) (.f64 (sin.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps))) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)))
(fma.f64 (sin.f64 x) (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (.f64 (neg.f64 (.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x))) (.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (sin.f64 x) (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (sin.f64 x) (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (sin.f64 x)) (.f64 (neg.f64 (.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x))) (.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (sin.f64 x) (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (sin.f64 x)) (.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)))
(fma.f64 (cos.f64 x) (.f64 (cos.f64 eps) (.f64 (sin.f64 x) (sin.f64 eps))) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)))
(fma.f64 (cos.f64 eps) (.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)))
(fma.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)))
(fma.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (neg.f64 (.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (.f64 (neg.f64 (.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x))) (.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (.f64 (sin.f64 x) (.f64 (cos.f64 x) (cos.f64 eps))) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 4 binary64)) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps))))) (/.f64 (pow.f64 (.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (sin.f64 eps)) (sin.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps))))))
(-.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (.f64 (neg.f64 (.f64 (sin.f64 x) (.f64 (cos.f64 x) (cos.f64 eps)))) (sin.f64 eps)))
(-.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (.f64 (neg.f64 (cos.f64 eps)) (.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps)))))
(-.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps))))
(-.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (sin.f64 eps)) (sin.f64 x)) (.f64 (neg.f64 (*.f64 (sin.f64 eps) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (sin.f64 eps)))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 eps x) #s(literal 4/3 binary64) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps (-.f64 eps (.f64 (fma.f64 (.f64 eps x) #s(literal 4/3 binary64) #s(literal 1 binary64)) x)) (pow.f64 (.f64 (fma.f64 (.f64 eps x) #s(literal 4/3 binary64) #s(literal 1 binary64)) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 eps x) #s(literal 4/3 binary64) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (.f64 eps eps)) (-.f64 (.f64 (fma.f64 (*.f64 eps x) #s(literal 4/3 binary64) #s(literal 1 binary64)) x) eps))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 eps x) #s(literal 4/3 binary64) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 eps x) #s(literal 4/3 binary64) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 (*.f64 eps x) #s(literal 4/3 binary64) #s(literal 1 binary64)) x) eps))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 eps x) #s(literal 4/3 binary64) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (-.f64 eps (.f64 (fma.f64 (.f64 eps x) #s(literal 4/3 binary64) #s(literal 1 binary64)) x)) (pow.f64 (.f64 (fma.f64 (.f64 eps x) #s(literal 4/3 binary64) #s(literal 1 binary64)) x) #s(literal 2 binary64))))
(fma.f64 (fma.f64 (*.f64 eps x) #s(literal 4/3 binary64) #s(literal 1 binary64)) x eps)
(fma.f64 x (fma.f64 (*.f64 eps x) #s(literal 4/3 binary64) #s(literal 1 binary64)) eps)
(-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (.f64 eps x) #s(literal 4/3 binary64) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 (.f64 eps x) #s(literal 4/3 binary64) #s(literal 1 binary64)) x) eps)) (/.f64 (.f64 eps eps) (-.f64 (.f64 (fma.f64 (*.f64 eps x) #s(literal 4/3 binary64) #s(literal 1 binary64)) x) eps)))
(-.f64 eps (.f64 (neg.f64 (fma.f64 (.f64 eps x) #s(literal 4/3 binary64) #s(literal 1 binary64))) x))
(-.f64 eps (.f64 (neg.f64 x) (fma.f64 (.f64 eps x) #s(literal 4/3 binary64) #s(literal 1 binary64))))
(+.f64 (fma.f64 (fma.f64 (*.f64 eps x) #s(literal 4/3 binary64) #s(literal 1 binary64)) x #s(literal 0 binary64)) eps)
(+.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (.f64 eps x) #s(literal 4/3 binary64) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (fma.f64 eps (-.f64 eps (.f64 (fma.f64 (.f64 eps x) #s(literal 4/3 binary64) #s(literal 1 binary64)) x)) (pow.f64 (.f64 (fma.f64 (.f64 eps x) #s(literal 4/3 binary64) #s(literal 1 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps (-.f64 eps (.f64 (fma.f64 (.f64 eps x) #s(literal 4/3 binary64) #s(literal 1 binary64)) x)) (pow.f64 (.f64 (fma.f64 (.f64 eps x) #s(literal 4/3 binary64) #s(literal 1 binary64)) x) #s(literal 2 binary64)))))
(+.f64 (.f64 (fma.f64 (.f64 eps x) #s(literal 4/3 binary64) #s(literal 1 binary64)) x) eps)
(+.f64 (fma.f64 (fma.f64 (*.f64 eps x) #s(literal 4/3 binary64) #s(literal 1 binary64)) x eps) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (*.f64 eps x) #s(literal 4/3 binary64) #s(literal 1 binary64)) x eps))
(+.f64 eps (+.f64 #s(literal 0 binary64) (.f64 (fma.f64 (.f64 eps x) #s(literal 4/3 binary64) #s(literal 1 binary64)) x)))
(+.f64 eps (.f64 (fma.f64 (.f64 eps x) #s(literal 4/3 binary64) #s(literal 1 binary64)) x))
(.f64 (/.f64 eps (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(.f64 (/.f64 eps (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(/.f64 (/.f64 eps (cos.f64 x)) (cos.f64 x))
(/.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 eps eps)) (.f64 (neg.f64 eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/.f64 (pow.f64 eps #s(literal 3 binary64)) (.f64 (.f64 eps eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/.f64 (neg.f64 eps) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(neg.f64 (/.f64 (neg.f64 eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(neg.f64 (/.f64 eps (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(fma.f64 (/.f64 eps (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(fma.f64 (/.f64 eps (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+.f64 (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 eps eps) (.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) (-.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) #s(literal 2 binary64))) (-.f64 x (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps)))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 (+.f64 eps x) (-.f64 eps x)) #s(literal -2 binary64) (.f64 (-.f64 eps x) (neg.f64 (PI.f64)))) (*.f64 (-.f64 eps x) #s(literal -2 binary64)))
(/.f64 (fma.f64 (.f64 (+.f64 eps x) (-.f64 eps x)) #s(literal 2 binary64) (.f64 (-.f64 eps x) (PI.f64))) (*.f64 (-.f64 eps x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) #s(literal -2 binary64) (.f64 (fma.f64 eps eps (.f64 x (-.f64 x eps))) (neg.f64 (PI.f64)))) (.f64 (fma.f64 eps eps (.f64 x (-.f64 x eps))) #s(literal -2 binary64)))
(/.f64 (fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) #s(literal 2 binary64) (.f64 (fma.f64 eps eps (.f64 x (-.f64 x eps))) (PI.f64))) (.f64 (fma.f64 eps eps (.f64 x (-.f64 x eps))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (+.f64 eps x))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (+.f64 eps x))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x)) (/.f64 (*.f64 x x) (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x)))
(+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) #s(literal 2 binary64)))))
(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps)
(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x)
(+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x))
(+.f64 #s(literal 0 binary64) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x))
(+.f64 eps (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
(+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(+.f64 x (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 eps eps)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps))
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) (*.f64 eps eps))))
(/.f64 (fma.f64 (neg.f64 (PI.f64)) (neg.f64 eps) (.f64 #s(literal -2 binary64) (neg.f64 (.f64 eps eps)))) (*.f64 #s(literal -2 binary64) (neg.f64 eps)))
(/.f64 (fma.f64 (neg.f64 (PI.f64)) (.f64 eps eps) (.f64 #s(literal -2 binary64) (pow.f64 eps #s(literal 3 binary64)))) (.f64 #s(literal -2 binary64) (.f64 eps eps)))
(/.f64 (fma.f64 (PI.f64) (neg.f64 eps) (.f64 #s(literal 2 binary64) (neg.f64 (.f64 eps eps)))) (*.f64 #s(literal 2 binary64) (neg.f64 eps)))
(/.f64 (fma.f64 (PI.f64) (.f64 eps eps) (.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 3 binary64)))) (.f64 #s(literal 2 binary64) (.f64 eps eps)))
(/.f64 (fma.f64 (neg.f64 (.f64 eps eps)) #s(literal -2 binary64) (.f64 (neg.f64 eps) (neg.f64 (PI.f64)))) (*.f64 (neg.f64 eps) #s(literal -2 binary64)))
(/.f64 (fma.f64 (neg.f64 (.f64 eps eps)) #s(literal 2 binary64) (.f64 (neg.f64 eps) (PI.f64))) (*.f64 (neg.f64 eps) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2 binary64) (.f64 (.f64 eps eps) (neg.f64 (PI.f64)))) (.f64 (.f64 eps eps) #s(literal -2 binary64)))
(/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 2 binary64) (.f64 (.f64 eps eps) (PI.f64))) (.f64 (.f64 eps eps) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 eps eps) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps))))
(/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) (*.f64 eps eps)))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) eps)
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) eps)
(-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 0 binary64)) eps)
(+.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) (.f64 eps eps))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) (.f64 eps eps))))
(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) #s(literal 0 binary64))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps)
(+.f64 #s(literal 0 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps))
(+.f64 eps (+.f64 #s(literal 0 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64)))

eval224.0ms (1.6%)

Memory: -5.9MiB live, 142.0MiB allocated
Compiler: Compiled 45 614 to 4 602 computations (89.9% saved)

prune61.0ms (0.4%)

Memory

16.0MiB live, 62.1MiB allocated

Pruning

26 alts after pruning (21 fresh and 5 done)

	Pruned	Kept	Total
New	824	7	831
Fresh	3	14	17
Picked	3	2	5
Done	0	3	3
Total	830	26	856

Accuracy

100.0%

Counts

856 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.6%	(/.f64 (/.f64 (sin.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 eps eps))) (cos.f64 (+.f64 eps x))) (cos.f64 x))
	99.6%	(/.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) #s(approx (cos (+ eps x)) (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps (cos.f64 x)))) (cos.f64 x))
	99.5%	(/.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) #s(approx (cos (+ eps x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (cos.f64 x)))) (cos.f64 x))
	99.9%	(/.f64 (.f64 (fma.f64 (cos.f64 (-.f64 x eps)) (.f64 (sin.f64 x) (sin.f64 eps)) (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) (-.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64))))) (cos.f64 x))
	33.4%	(/.f64 (sin.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 eps eps (-.f64 #s(literal 0 binary64) (.f64 eps #s(literal 0 binary64)))))) (.f64 #s(approx (cos (+ eps x)) (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps (cos.f64 x))) (cos.f64 x)))
	33.6%	(/.f64 (sin.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 eps eps #s(approx (- 0 (* eps 0)) #s(literal 0 binary64))))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	99.5%	(/.f64 #s(approx (sin (- (+ eps x) x)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
✓	63.9%	(-.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))
	3.8%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))) (tan.f64 x))
✓	6.6%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
✓	63.6%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	62.7%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (+ (PI) x) (PI))) x))
	99.8%	#s(approx (/ (/ (sin (+ 0 eps)) (sin (+ (+ eps (/ (PI) 2)) x))) (cos x)) (/.f64 (sin.f64 eps) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x))) (cos.f64 x))))
	99.1%	#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 eps (pow.f64 (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64))))
	99.1%	#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 eps (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
	99.1%	#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 eps (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 #s(approx ( 2 (+ (neg x) (/ (PI) 2))) (fma.f64 #s(literal -2 binary64) x (PI.f64))))))))
	99.1%	#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
	99.1%	#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) x)))))))
	98.4%	#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 eps #s(approx (pow (cos x) 2) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
	98.5%	#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) #s(approx (/ eps (pow (cos x) 2)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) eps)))
	98.3%	#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) #s(approx (/ eps (- 1/2 (* 1/2 (cos (* 2 (+ (neg x) (/ (PI) 2))))))) eps))
✓	98.5%	#s(approx (- (/ (+ (tan eps) (tan x)) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (.f64 #s(approx (+ ( (sin x) (/ (sin x) (pow (cos x) 2))) (+ (* eps (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x)))) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) (*.f64 x eps) #s(literal 1 binary64)) x eps) x #s(literal 1 binary64))) eps))
	98.5%	#s(approx (- (/ (+ (tan eps) (tan x)) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (.f64 #s(approx (+ ( (sin x) (/ (sin x) (pow (cos x) 2))) (+ (* eps (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x)))) 1)) (fma.f64 (+.f64 x eps) x #s(literal 1 binary64))) eps))
	98.5%	#s(approx (- (/ (+ (tan eps) (tan x)) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (.f64 #s(approx (+ ( (sin x) (/ (sin x) (pow (cos x) 2))) (+ (* eps (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x)))) 1)) (/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps x) #s(literal 4/3 binary64) #s(literal 1 binary64)) x eps) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps x) #s(literal 4/3 binary64) #s(literal 1 binary64)) x eps) x) #s(literal 1 binary64)))) eps))
	98.3%	#s(approx (- (/ (+ (tan eps) (tan x)) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (.f64 #s(approx (+ ( (sin x) (/ (sin x) (pow (cos x) 2))) (+ (* eps (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x)))) 1)) #s(approx (+ (* (+ (* (+ (* 4/3 (* x eps)) 1) x) eps) x) 1) (.f64 (neg.f64 eps) (fma.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -4/3 binary64)) #s(literal 1 binary64)) x (/.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 eps)))))) eps))
✓	98.3%	#s(approx (- (/ (+ (tan eps) (tan x)) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) #s(approx (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) (+ (* eps (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x)))) 1)) eps) (fma.f64 (*.f64 eps eps) x eps)))

Compiler

Compiled 2 734 to 924 computations (66.2% saved)

regimes67.0ms (0.5%)

Memory

-17.2MiB live, 72.2MiB allocated

Counts

55 → 1

Calls

Call 1

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

Outputs

(/.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps))))))) (cos.f64 x))

Calls

3 calls:

15.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
13.0ms	eps
12.0ms	x

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes41.0ms (0.3%)

Memory

2.1MiB live, 54.4MiB allocated

Counts

50 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

16.0ms	eps
12.0ms	x
12.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes41.0ms (0.3%)

Memory

-23.8MiB live, 69.2MiB allocated

Counts

49 → 1

Calls

Call 1

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

Outputs
#s(approx (/ (/ (sin (+ 0 eps)) (sin (+ (+ eps (/ (PI) 2)) x))) (cos x)) (/.f64 (sin.f64 eps) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x))) (cos.f64 x))))

Calls

3 calls:

14.0ms	eps
12.0ms	x
11.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes21.0ms (0.1%)

Memory

35.4MiB live, 35.4MiB allocated

Counts

27 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes22.0ms (0.2%)

Memory

-7.6MiB live, 39.0MiB allocated

Counts

26 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

8.0ms	x
6.0ms	eps
6.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.1%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
99.1%	1	`x`
99.1%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes30.0ms (0.2%)

Memory

-25.5MiB live, 31.0MiB allocated

Counts

16 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

21.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
4.0ms	eps
4.0ms	x

Results

Accuracy	Segments	Branch
99.1%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
99.1%	1	`x`
99.1%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes12.0ms (0.1%)

Memory

-4.6MiB live, 42.8MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
3.0ms	eps
3.0ms	x

Results

Accuracy	Segments	Branch
99.1%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
99.1%	1	`x`
99.1%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes9.0ms (0.1%)

Memory

20.5MiB live, 20.5MiB allocated

Counts

10 → 1

Calls

Call 1

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

Outputs

#s(approx (- (/ (+ (tan eps) (tan x)) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (*.f64 #s(approx (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) (+ (* eps (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x)))) 1)) (fma.f64 (+.f64 x eps) x #s(literal 1 binary64))) 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
98.5%	1	`eps`
98.5%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.5%	1	`x`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes5.0ms (0%)

Memory

13.6MiB live, 13.6MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes5.0ms (0%)

Memory

-36.1MiB live, 10.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) #s(approx (/ eps (- 1/2 (* 1/2 (cos (* 2 (+ (neg x) (/ (PI) 2))))))) eps))

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

Outputs
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) #s(approx (/ eps (- 1/2 (* 1/2 (cos (* 2 (+ (neg x) (/ (PI) 2))))))) eps))

Calls

3 calls:

2.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
1.0ms	eps
1.0ms	x

Results

Accuracy	Segments	Branch
98.3%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.3%	1	`x`
98.3%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify57.0ms (0.4%)

Memory

28.1MiB live, 75.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	125	352
1	221	323
2	501	323
3	1609	315
4	7306	314

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations1.2s (8.6%)

Memory

18.2MiB live, 477.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	604	3137
1	2043	2923
2	7846	2570
0	8306	2429
0	57	264
0	89	190
1	460	161
2	4355	161
0	8062	161
0	6	16
0	10	16
1	53	16
2	440	16
3	6608	16
0	8588	16
0	66	559
0	130	522
1	588	417
2	5436	417
0	8052	402
0	761	4260
1	2343	3942
0	8471	3753
0	859	4210
1	3155	3940
0	8967	3615
0	77	525
0	124	499
1	606	340
2	6122	340
0	8686	334

Stop Event

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

Compiler

Compiled 364 to 123 computations (66.2% saved)

preprocess70.0ms (0.5%)

Memory: -20.2MiB live, 70.7MiB allocated
Compiler: Compiled 760 to 270 computations (64.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze58.0ms (0.4%)

sample7.1s (50.2%)

explain111.0ms (0.8%)

preprocess271.0ms (1.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify226.0ms (1.6%)

localize53.0ms (0.4%)

series11.0ms (0.1%)

simplify134.0ms (0.9%)

rewrite221.0ms (1.6%)

eval27.0ms (0.2%)

prune15.0ms (0.1%)

simplify223.0ms (1.6%)

localize754.0ms (5.3%)

series115.0ms (0.8%)

simplify170.0ms (1.2%)

rewrite193.0ms (1.4%)

eval133.0ms (0.9%)

prune42.0ms (0.3%)

simplify113.0ms (0.8%)

localize488.0ms (3.4%)

series66.0ms (0.5%)

simplify181.0ms (1.3%)

rewrite209.0ms (1.5%)

eval167.0ms (1.2%)

prune31.0ms (0.2%)

simplify151.0ms (1.1%)

localize398.0ms (2.8%)

series145.0ms (1%)

simplify190.0ms (1.3%)

rewrite270.0ms (1.9%)

eval224.0ms (1.6%)

prune61.0ms (0.4%)

regimes67.0ms (0.5%)

regimes41.0ms (0.3%)

regimes41.0ms (0.3%)

regimes21.0ms (0.1%)

regimes22.0ms (0.2%)

regimes30.0ms (0.2%)

regimes12.0ms (0.1%)

regimes9.0ms (0.1%)

regimes5.0ms (0%)

regimes5.0ms (0%)

simplify57.0ms (0.4%)

derivations1.2s (8.6%)

preprocess70.0ms (0.5%)

end0.0ms (0%)

Profiling