Metrics for 2tan (problem 3.3.2)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze65.0ms (0.4%)

Memory

33.6MiB live, 72.3MiB 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)

sample6.3s (40.7%)

Memory

-153.3MiB live, 7 364.4MiB allocated

Samples

3.2s	26 399×	0	invalid
634.0ms	5 524×	0	valid
580.0ms	2 732×	1	valid

Precisions

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

const: 638.0ms (20.4% of total)

ival-tan: 602.0ms (19.2% of total)

ival-fabs: 313.0ms (10% of total)

ival-add: 310.0ms (9.9% of total)

ival-<=: 310.0ms (9.9% of total)

ival-mult: 287.0ms (9.2% of total)

ival-<: 222.0ms (7.1% of total)

ival-sub: 211.0ms (6.7% of total)

ival-and: 98.0ms (3.1% of total)

adjust: 82.0ms (2.6% of total)

exact: 46.0ms (1.5% of total)

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

Bogosity

explain101.0ms (0.7%)

Memory

-3.3MiB live, 145.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
218	1	(-5.260965472320147e-258 1.5846438986147005e-260)	3	(1.4511863494896043e-7 5.726377697566477e-9)	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
5	0	-	1	(93.5228927064356 0.05326189858433034)	`(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	216	5
`tan.f64`	`(tan.f64 (+.f64 x eps))`	sensitivity	4	1

Confusion

	Predicted +	Predicted -
+	217	2
-	1	36

Precision

0.9954128440366973

Recall

0.9908675799086758

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	217	2	0
-	1	3	33

Precision?

0.9820627802690582

Recall?

1.0

Freqs

test

number	freq
0	38
1	216
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

25.0ms	182×	1	valid
16.0ms	328×	0	valid
1.0ms	2×	3	valid

Compiler

Compiled 49 to 22 computations (55.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-tan: 10.0ms (41.6% of total)

adjust: 7.0ms (29.1% of total)

ival-add: 3.0ms (12.5% of total)

ival-sub: 3.0ms (12.5% of total)

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

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

preprocess29.0ms (0.2%)

Memory

2.9MiB live, 38.5MiB allocated

Algorithm

1×	egg-herbie

Rules

102×	`sub-neg`
80×	`lower-fma.f64`
80×	`lower-fma.f32`
68×	`cancel-sign-sub-inv`
64×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	39
1	38	35
2	86	35
3	169	35
4	310	35
5	367	35
6	445	35
7	482	35
8	491	35
0	6	7
0	10	7
1	13	7
2	18	7
3	24	7
4	32	7
5	47	7
6	80	7
7	107	7
8	151	7
9	166	7
10	174	7
0	174	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.8%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify8.0ms (0%)

Memory

9.8MiB live, 9.8MiB 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))

Rules

80×	`lower-fma.f64`
80×	`lower-fma.f32`
48×	`lower-*.f64`
48×	`lower-*.f32`
36×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	13	18
2	18	18
3	24	18
4	32	18
5	47	18
6	80	18
7	107	18
8	151	18
9	166	18
10	174	18
0	174	18

Stop Event

1×	iter limit
1×	saturated
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))
(tan.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(tan.f64 x)

localize42.0ms (0.3%)

Memory

-10.7MiB live, 63.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x eps)
accuracy	0	(tan.f64 x)
accuracy	0.16032625831770161	(tan.f64 (+.f64 x eps))
accuracy	23.628241717530177	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Samples

21.0ms	164×	0	valid
14.0ms	91×	1	valid
0.0ms	1×	3	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-tan: 5.0ms (48.7% of total)

adjust: 2.0ms (19.5% of total)

ival-add: 2.0ms (19.5% of total)

ival-sub: 1.0ms (9.7% of total)

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

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

series11.0ms (0.1%)

Memory

20.5MiB live, 20.5MiB allocated

Counts

4 → 84

Calls

Call 1

Inputs
#s(alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (patch (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #<representation binary64>) () ())
#s(alt (tan.f64 (+.f64 x eps)) (patch (tan.f64 (+.f64 x eps)) #<representation binary64>) () ())
#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())
#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())

Outputs
#s(alt (/ (sin eps) (cos eps)) (taylor 0 x) (#s(alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (patch (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2))) (taylor 0 x) (#s(alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (patch (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 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))) (taylor 0 x) (#s(alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (patch (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 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))) (taylor 0 x) (#s(alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (patch (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) (taylor inf x) (#s(alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (patch (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) (taylor inf x) (#s(alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (patch (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) (taylor inf x) (#s(alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (patch (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) (taylor inf x) (#s(alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (patch (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x))) (taylor -inf x) (#s(alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (patch (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x))) (taylor -inf x) (#s(alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (patch (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x))) (taylor -inf x) (#s(alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (patch (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x))) (taylor -inf x) (#s(alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (patch (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (taylor 0 eps) (#s(alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (patch (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 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))))) (taylor 0 eps) (#s(alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (patch (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 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))))) (taylor 0 eps) (#s(alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (patch (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 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))))) (taylor 0 eps) (#s(alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (patch (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) (taylor inf eps) (#s(alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (patch (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) (taylor inf eps) (#s(alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (patch (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) (taylor inf eps) (#s(alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (patch (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) (taylor inf eps) (#s(alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (patch (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x))) (taylor -inf eps) (#s(alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (patch (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x))) (taylor -inf eps) (#s(alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (patch (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x))) (taylor -inf eps) (#s(alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (patch (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x))) (taylor -inf eps) (#s(alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (patch (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin eps) (cos eps)) (taylor 0 x) (#s(alt (tan.f64 (+.f64 x eps)) (patch (tan.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (taylor 0 x) (#s(alt (tan.f64 (+.f64 x eps)) (patch (tan.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (+ (* 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))) (taylor 0 x) (#s(alt (tan.f64 (+.f64 x eps)) (patch (tan.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (+ (* 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))) (taylor 0 x) (#s(alt (tan.f64 (+.f64 x eps)) (patch (tan.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (+ eps x)) (cos (+ eps x))) (taylor inf x) (#s(alt (tan.f64 (+.f64 x eps)) (patch (tan.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (+ eps x)) (cos (+ eps x))) (taylor inf x) (#s(alt (tan.f64 (+.f64 x eps)) (patch (tan.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (+ eps x)) (cos (+ eps x))) (taylor inf x) (#s(alt (tan.f64 (+.f64 x eps)) (patch (tan.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (+ eps x)) (cos (+ eps x))) (taylor inf x) (#s(alt (tan.f64 (+.f64 x eps)) (patch (tan.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (taylor -inf x) (#s(alt (tan.f64 (+.f64 x eps)) (patch (tan.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (taylor -inf x) (#s(alt (tan.f64 (+.f64 x eps)) (patch (tan.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (taylor -inf x) (#s(alt (tan.f64 (+.f64 x eps)) (patch (tan.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (taylor -inf x) (#s(alt (tan.f64 (+.f64 x eps)) (patch (tan.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (cos x)) (taylor 0 eps) (#s(alt (tan.f64 (+.f64 x eps)) (patch (tan.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (taylor 0 eps) (#s(alt (tan.f64 (+.f64 x eps)) (patch (tan.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (+ (* 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))) (taylor 0 eps) (#s(alt (tan.f64 (+.f64 x eps)) (patch (tan.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (+ (* 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))) (taylor 0 eps) (#s(alt (tan.f64 (+.f64 x eps)) (patch (tan.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (+ eps x)) (cos (+ eps x))) (taylor inf eps) (#s(alt (tan.f64 (+.f64 x eps)) (patch (tan.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (+ eps x)) (cos (+ eps x))) (taylor inf eps) (#s(alt (tan.f64 (+.f64 x eps)) (patch (tan.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (+ eps x)) (cos (+ eps x))) (taylor inf eps) (#s(alt (tan.f64 (+.f64 x eps)) (patch (tan.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (+ eps x)) (cos (+ eps x))) (taylor inf eps) (#s(alt (tan.f64 (+.f64 x eps)) (patch (tan.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (taylor -inf eps) (#s(alt (tan.f64 (+.f64 x eps)) (patch (tan.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (taylor -inf eps) (#s(alt (tan.f64 (+.f64 x eps)) (patch (tan.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (taylor -inf eps) (#s(alt (tan.f64 (+.f64 x eps)) (patch (tan.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (taylor -inf eps) (#s(alt (tan.f64 (+.f64 x eps)) (patch (tan.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt eps (taylor 0 x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps x) (taylor 0 x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps x) (taylor 0 x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps x) (taylor 0 x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ eps x))) (taylor inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ eps x))) (taylor inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ eps x))) (taylor inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ eps x)) 1))) (taylor -inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ eps x)) 1))) (taylor -inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ eps x)) 1))) (taylor -inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps x) (taylor 0 eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps x) (taylor 0 eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps x) (taylor 0 eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt eps (taylor inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (/ x eps))) (taylor inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (/ x eps))) (taylor inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (/ x eps))) (taylor inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt eps (taylor -inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (* -1 (/ x eps)) 1))) (taylor -inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (* -1 (/ x eps)) 1))) (taylor -inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (* -1 (/ x eps)) 1))) (taylor -inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (taylor 0 x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))) (taylor 0 x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (cos x)) (taylor inf x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (cos x)) (taylor inf x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (cos x)) (taylor inf x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (cos x)) (taylor inf x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (cos x)) (taylor -inf x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (cos x)) (taylor -inf x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (cos x)) (taylor -inf x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (cos x)) (taylor -inf x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())

Calls

21 calls:

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

simplify286.0ms (1.9%)

Memory

-11.0MiB live, 431.0MiB allocated

Algorithm

1×	egg-herbie

Rules

14 592×	`lower-fma.f64`
14 592×	`lower-fma.f32`
5 316×	`lower-*.f64`
5 316×	`lower-*.f32`
2 664×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	1351
1	464	1285
2	1534	1274
3	5949	1242
0	8534	1195

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 77

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)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ 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)))) (/ (sin x) (cos x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(/ (sin eps) (cos eps))
(+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/ (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 (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
eps
(+ eps x)
(+ eps x)
(+ eps x)
x
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
x
(+ eps x)
(+ eps x)
(+ eps x)
eps
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
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 x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))

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 (- (/ (* 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 x (fma.f64 (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 x (cos.f64 eps)) (/.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 (- (* -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 x (fma.f64 x (fma.f64 x (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 #s(literal 1/6 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 -1/2 binary64) #s(literal -1/2 binary64))))) (/.f64 (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(- (/ (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))) (/ (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))) (/ (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))) (/ (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)))) (/ (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)))) (/ (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)))) (/ (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)))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) 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 eps (fma.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(* eps (- (+ 1 (* 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 eps (fma.f64 eps (fma.f64 eps (+.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) #s(literal -1/6 binary64)) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(* eps (- (+ 1 (* 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 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 (+.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) #s(literal -1/6 binary64)) (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) #s(literal -1/6 binary64))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(- (/ (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))) (/ (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))) (/ (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))) (/ (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)))) (/ (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)))) (/ (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)))) (/ (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)))) (/ (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) (cos eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 x (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) x))
(+ (* 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 x (fma.f64 (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 x (cos.f64 eps)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.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 x (fma.f64 x (fma.f64 x (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1/6 binary64)))) (/.f64 (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) 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))))) (/ (sin x) (cos x)))
(fma.f64 eps (fma.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (/.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 eps (fma.f64 eps (fma.f64 eps (+.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) #s(literal -1/6 binary64)) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
eps
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
x
(* x (+ 1 (/ eps x)))
(+.f64 eps x)
(* x (+ 1 (/ eps x)))
(+.f64 eps x)
(* x (+ 1 (/ eps x)))
(+.f64 eps x)
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(+.f64 eps x)
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(+.f64 eps x)
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(+.f64 eps x)
x
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
eps
(* eps (+ 1 (/ x eps)))
(+.f64 eps x)
(* eps (+ 1 (/ x eps)))
(+.f64 eps x)
(* eps (+ 1 (/ x eps)))
(+.f64 eps x)
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(+.f64 eps x)
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(+.f64 eps x)
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(+.f64 eps x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x)
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))

rewrite262.0ms (1.7%)

Memory

16.4MiB live, 287.9MiB allocated

Rules

4 404×	`lower-*.f64`
4 404×	`lower-*.f32`
3 318×	`lower-/.f64`
3 318×	`lower-/.f32`
3 264×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	10	16
1	50	16
2	402	16
3	6117	16
0	8095	16

Stop Event

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

Counts

4 → 259

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

eval87.0ms (0.6%)

Memory: 18.4MiB live, 55.3MiB allocated
Compiler: Compiled 8 701 to 985 computations (88.7% saved)

prune154.0ms (1%)

Memory

-33.2MiB live, 95.0MiB allocated

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	315	21	336
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	315	22	337

Accuracy

100.0%

Counts

337 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.2%	(fma.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (sin.f64 (+.f64 (+.f64 x eps) x))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
	63.1%	(fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 3 binary64)))) (fma.f64 (.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (tan.f64 x)))
	63.1%	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
	62.8%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
	62.8%	(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 x eps)))
▶	63.1%	(/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))
	63.0%	(/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (sin.f64 x)))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))
	20.8%	(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64))))
	62.8%	(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
	63.1%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
▶	62.8%	(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
	62.2%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) (tan.f64 x))
✓	62.8%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	61.4%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x)))
▶	61.4%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/3 binary64)) x)))
	61.4%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64)))))
	62.8%	(.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
	97.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 x (fma.f64 (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 x (cos.f64 eps)) (/.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))))
	99.0%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps))
▶	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 (+.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) #s(literal -1/6 binary64)) (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) #s(literal -1/6 binary64))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps))
▶	98.5%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps))
	97.5%	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))

Compiler

Compiled 1 201 to 542 computations (54.9% saved)

simplify352.0ms (2.3%)

Memory

-41.5MiB live, 238.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 x)
cost-diff	0	(neg.f64 (sin.f64 x))
cost-diff	0	(/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))
cost-diff	256	(fma.f64 (neg.f64 (sin.f64 x)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))))
cost-diff	0	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
cost-diff	0	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
cost-diff	0	(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
cost-diff	0	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps))
cost-diff	0	(+.f64 x eps)
cost-diff	0	(sin.f64 (+.f64 x eps))
cost-diff	0	(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
cost-diff	0	(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
cost-diff	0	#s(approx (tan x) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/3 binary64)) x))
cost-diff	0	(+.f64 x eps)
cost-diff	0	(tan.f64 (+.f64 x eps))
cost-diff	0	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/3 binary64)) x)))
cost-diff	0	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 (+.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) #s(literal -1/6 binary64)) (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) #s(literal -1/6 binary64))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps))
cost-diff	192	(+.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) #s(literal -1/6 binary64))
cost-diff	26816	(fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
cost-diff	79744	(fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 (+.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) #s(literal -1/6 binary64)) (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) #s(literal -1/6 binary64)))

Rules

16 590×	`lower-fma.f32`
16 570×	`lower-fma.f64`
4 232×	`lower-*.f32`
4 220×	`lower-*.f64`
3 578×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	1294
0	118	1294
1	223	1118
2	560	975
3	1891	975
0	8049	948

Stop Event

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

Calls

Call 1

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

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

localize512.0ms (3.3%)

Memory

20.5MiB live, 373.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))
accuracy	0.0234375	(*.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))
accuracy	0.03125	(+.f64 (tan.f64 x) (tan.f64 eps))
accuracy	23.607769948362087	(fma.f64 (neg.f64 (sin.f64 x)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))))
accuracy	0.01171875	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
accuracy	0.01953125	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
accuracy	0.03515625	(pow.f64 (cos.f64 x) #s(literal 2 binary64))
accuracy	0.954645651052603	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps))
accuracy	0.0390625	(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
accuracy	0.12674859825865142	(cos.f64 (+.f64 x eps))
accuracy	0.14057965590938684	(sin.f64 (+.f64 x eps))
accuracy	23.628241717530177	(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
accuracy	0.16032625831770161	(tan.f64 (+.f64 x eps))
accuracy	0.30078125	(*.f64 x #s(literal 1/3 binary64))
accuracy	1.4358352579093947	#s(approx (tan x) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/3 binary64)) x))
accuracy	23.628241717530177	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/3 binary64)) x)))
accuracy	0.12890625	(fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 (+.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) #s(literal -1/6 binary64)) (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) #s(literal -1/6 binary64))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
accuracy	0.28515625	(*.f64 (+.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) #s(literal -1/6 binary64)) (/.f64 (sin.f64 x) (cos.f64 x)))
accuracy	0.4408036028241773	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 (+.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) #s(literal -1/6 binary64)) (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) #s(literal -1/6 binary64))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps))
accuracy	0.963222509768442	(+.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) #s(literal -1/6 binary64))

Samples

233.0ms	95×	1	valid
146.0ms	157×	0	valid
13.0ms	3×	3	valid
2.0ms	1×	2	valid

Compiler

Compiled 1 164 to 67 computations (94.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 271.0ms

ival-mult: 104.0ms (38.4% of total)

ival-pow: 61.0ms (22.5% of total)

ival-add: 21.0ms (7.8% of total)

ival-div: 16.0ms (5.9% of total)

adjust: 15.0ms (5.5% of total)

ival-tan: 14.0ms (5.2% of total)

const: 11.0ms (4.1% of total)

ival-cos: 7.0ms (2.6% of total)

ival-sin: 7.0ms (2.6% of total)

ival-sub: 6.0ms (2.2% of total)

ival-pow2: 6.0ms (2.2% of total)

ival-neg: 1.0ms (0.4% of total)

exact: 1.0ms (0.4% of total)

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

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

series176.0ms (1.1%)

Memory

-6.4MiB live, 195.0MiB allocated

Counts

26 → 504

Calls

Call 1

Inputs
#s(alt (fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (.f64 (+.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) #s(literal -1/6 binary64)) (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) #s(literal -1/6 binary64))) (patch (fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (.f64 (+.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) #s(literal -1/6 binary64)) (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) #s(literal -1/6 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (patch (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) #s(literal -1/6 binary64)) (patch (+.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) #s(literal -1/6 binary64)) #<representation binary64>) () ())
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#s(alt (tan.f64 (+.f64 x eps)) (patch (tan.f64 (+.f64 x eps)) #<representation binary64>) () ())
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#s(alt (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())
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#s(alt (neg.f64 (sin.f64 x)) (patch (neg.f64 (sin.f64 x)) #<representation binary64>) () ())
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#s(alt (.f64 x #s(literal 1/3 binary64)) (patch (.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (cos.f64 (+.f64 x eps)) (patch (cos.f64 (+.f64 x eps)) #<representation binary64>) () ())
#s(alt (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (tan.f64 x) (tan.f64 eps)) (patch (+.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())
#s(alt (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (patch (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) #<representation binary64>) () ())

Outputs
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#s(alt (cos (+ eps x)) (taylor inf x) (#s(alt (cos.f64 (+.f64 x eps)) (patch (cos.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (cos (+ eps x)) (taylor inf x) (#s(alt (cos.f64 (+.f64 x eps)) (patch (cos.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (cos (- eps (* -1 x))) (taylor -inf x) (#s(alt (cos.f64 (+.f64 x eps)) (patch (cos.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (cos (- eps (* -1 x))) (taylor -inf x) (#s(alt (cos.f64 (+.f64 x eps)) (patch (cos.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (cos (- eps (* -1 x))) (taylor -inf x) (#s(alt (cos.f64 (+.f64 x eps)) (patch (cos.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (cos (- eps (* -1 x))) (taylor -inf x) (#s(alt (cos.f64 (+.f64 x eps)) (patch (cos.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor 0 eps) (#s(alt (cos.f64 (+.f64 x eps)) (patch (cos.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (+ (cos x) (* -1 (* eps (sin x)))) (taylor 0 eps) (#s(alt (cos.f64 (+.f64 x eps)) (patch (cos.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x)))) (taylor 0 eps) (#s(alt (cos.f64 (+.f64 x eps)) (patch (cos.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))) (taylor 0 eps) (#s(alt (cos.f64 (+.f64 x eps)) (patch (cos.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (cos (+ eps x)) (taylor inf eps) (#s(alt (cos.f64 (+.f64 x eps)) (patch (cos.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (cos (+ eps x)) (taylor inf eps) (#s(alt (cos.f64 (+.f64 x eps)) (patch (cos.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (cos (+ eps x)) (taylor inf eps) (#s(alt (cos.f64 (+.f64 x eps)) (patch (cos.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (cos (+ eps x)) (taylor inf eps) (#s(alt (cos.f64 (+.f64 x eps)) (patch (cos.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (cos (- x (* -1 eps))) (taylor -inf eps) (#s(alt (cos.f64 (+.f64 x eps)) (patch (cos.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (cos (- x (* -1 eps))) (taylor -inf eps) (#s(alt (cos.f64 (+.f64 x eps)) (patch (cos.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (cos (- x (* -1 eps))) (taylor -inf eps) (#s(alt (cos.f64 (+.f64 x eps)) (patch (cos.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (cos (- x (* -1 eps))) (taylor -inf eps) (#s(alt (cos.f64 (+.f64 x eps)) (patch (cos.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1))) (taylor 0 x) (#s(alt (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1))) (taylor 0 x) (#s(alt (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (cos x) 2) (taylor inf x) (#s(alt (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (cos x) 2) (taylor inf x) (#s(alt (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (cos x) 2) (taylor inf x) (#s(alt (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (cos x) 2) (taylor inf x) (#s(alt (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (cos x) 2) (taylor -inf x) (#s(alt (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (cos x) 2) (taylor -inf x) (#s(alt (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (cos x) 2) (taylor -inf x) (#s(alt (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (cos x) 2) (taylor -inf x) (#s(alt (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (sin eps) (cos eps)) (taylor 0 x) (#s(alt (+.f64 (tan.f64 x) (tan.f64 eps)) (patch (+.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (sin eps) (cos eps))) (taylor 0 x) (#s(alt (+.f64 (tan.f64 x) (tan.f64 eps)) (patch (+.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ 1 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps))) (taylor 0 x) (#s(alt (+.f64 (tan.f64 x) (tan.f64 eps)) (patch (+.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (/ (sin eps) (cos eps))) (taylor 0 x) (#s(alt (+.f64 (tan.f64 x) (tan.f64 eps)) (patch (+.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (taylor inf x) (#s(alt (+.f64 (tan.f64 x) (tan.f64 eps)) (patch (+.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (taylor inf x) (#s(alt (+.f64 (tan.f64 x) (tan.f64 eps)) (patch (+.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (taylor inf x) (#s(alt (+.f64 (tan.f64 x) (tan.f64 eps)) (patch (+.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (taylor inf x) (#s(alt (+.f64 (tan.f64 x) (tan.f64 eps)) (patch (+.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (taylor -inf x) (#s(alt (+.f64 (tan.f64 x) (tan.f64 eps)) (patch (+.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (taylor -inf x) (#s(alt (+.f64 (tan.f64 x) (tan.f64 eps)) (patch (+.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (taylor -inf x) (#s(alt (+.f64 (tan.f64 x) (tan.f64 eps)) (patch (+.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (taylor -inf x) (#s(alt (+.f64 (tan.f64 x) (tan.f64 eps)) (patch (+.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (cos x)) (taylor 0 eps) (#s(alt (+.f64 (tan.f64 x) (tan.f64 eps)) (patch (+.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (+ eps (/ (sin x) (cos x))) (taylor 0 eps) (#s(alt (+.f64 (tan.f64 x) (tan.f64 eps)) (patch (+.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (/ (sin x) (cos x))) (taylor 0 eps) (#s(alt (+.f64 (tan.f64 x) (tan.f64 eps)) (patch (+.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (/ (sin x) (cos x))) (taylor 0 eps) (#s(alt (+.f64 (tan.f64 x) (tan.f64 eps)) (patch (+.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (taylor inf eps) (#s(alt (+.f64 (tan.f64 x) (tan.f64 eps)) (patch (+.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (taylor inf eps) (#s(alt (+.f64 (tan.f64 x) (tan.f64 eps)) (patch (+.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (taylor inf eps) (#s(alt (+.f64 (tan.f64 x) (tan.f64 eps)) (patch (+.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (taylor inf eps) (#s(alt (+.f64 (tan.f64 x) (tan.f64 eps)) (patch (+.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (taylor -inf eps) (#s(alt (+.f64 (tan.f64 x) (tan.f64 eps)) (patch (+.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (taylor -inf eps) (#s(alt (+.f64 (tan.f64 x) (tan.f64 eps)) (patch (+.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (taylor -inf eps) (#s(alt (+.f64 (tan.f64 x) (tan.f64 eps)) (patch (+.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (taylor -inf eps) (#s(alt (+.f64 (tan.f64 x) (tan.f64 eps)) (patch (+.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (sin eps) (cos eps)) (taylor 0 x) (#s(alt (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (patch (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (sin eps) (cos eps))) (taylor 0 x) (#s(alt (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (patch (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ 1 (* -1/2 (/ (* x (sin eps)) (cos eps))))) (/ (sin eps) (cos eps))) (taylor 0 x) (#s(alt (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (patch (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ 1 (* x (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/6 x))))) (/ (sin eps) (cos eps))) (taylor 0 x) (#s(alt (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (patch (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (taylor inf x) (#s(alt (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (patch (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (taylor inf x) (#s(alt (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (patch (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (taylor inf x) (#s(alt (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (patch (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (taylor inf x) (#s(alt (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (patch (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (taylor -inf x) (#s(alt (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (patch (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (taylor -inf x) (#s(alt (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (patch (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (taylor -inf x) (#s(alt (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (patch (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (taylor -inf x) (#s(alt (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (patch (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor 0 eps) (#s(alt (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (patch (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (+ (sin x) (* eps (cos x))) (taylor 0 eps) (#s(alt (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (patch (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (+ (sin x) (* eps (+ (cos x) (* 1/3 (* (pow eps 2) (cos x)))))) (taylor 0 eps) (#s(alt (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (patch (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (+ (sin x) (* eps (+ (cos x) (* (pow eps 2) (+ (* 2/15 (* (pow eps 2) (cos x))) (* 1/3 (cos x))))))) (taylor 0 eps) (#s(alt (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (patch (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (taylor inf eps) (#s(alt (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (patch (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (taylor inf eps) (#s(alt (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (patch (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (taylor inf eps) (#s(alt (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (patch (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (taylor inf eps) (#s(alt (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (patch (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (taylor -inf eps) (#s(alt (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (patch (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (taylor -inf eps) (#s(alt (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (patch (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (taylor -inf eps) (#s(alt (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (patch (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (taylor -inf eps) (#s(alt (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (patch (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) #<representation binary64>) () ())) ())

Calls

126 calls:

Time	Variable		Point	Expression
30.0ms	eps	@	-inf	(/ (+ (* (neg (sin x)) (- 1 (* (tan x) (tan eps)))) (* (cos x) (+ (tan x) (tan eps)))) (* (cos x) (- 1 (* (tan x) (tan eps)))))
14.0ms	x	@	inf	(+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6) (/ (sin x) (cos x))))) (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6))
9.0ms	eps	@	inf	(+ (* (neg (sin x)) (- 1 (* (tan x) (tan eps)))) (* (cos x) (+ (tan x) (tan eps))))
6.0ms	x	@	-inf	(+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6) (/ (sin x) (cos x))))) (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6))
5.0ms	eps	@	0	(+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6) (/ (sin x) (cos x))))) (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6))

simplify309.0ms (2%)

Memory

36.1MiB live, 502.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 702×	`lower-fma.f64`
11 702×	`lower-fma.f32`
6 856×	`lower-*.f64`
6 856×	`lower-*.f32`
4 374×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	690	12491
1	2226	12078
2	7611	12026
0	8399	11549

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 495

Calls

Call 1

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

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

rewrite429.0ms (2.8%)

Memory

-30.6MiB live, 410.8MiB allocated

Rules

5 618×	`lower-fma.f32`
5 598×	`lower-fma.f64`
5 312×	`lower-*.f32`
5 300×	`lower-*.f64`
2 412×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	713
0	118	668
1	523	480
2	5044	480
0	8123	456

Stop Event

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

Counts

26 → 635

Calls

Call 1

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

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

eval519.0ms (3.4%)

Memory: 48.9MiB live, 698.0MiB allocated
Compiler: Compiled 225 433 to 7 386 computations (96.7% saved)

prune540.0ms (3.5%)

Memory

-6.8MiB live, 757.3MiB allocated

Pruning

27 alts after pruning (25 fresh and 2 done)

	Pruned	Kept	Total
New	2 228	20	2 248
Fresh	11	5	16
Picked	4	1	5
Done	0	1	1
Total	2 243	27	2 270

Accuracy

100.0%

Counts

2 270 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.1%	(fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 3 binary64)))) (fma.f64 (.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (tan.f64 x)))
	63.1%	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
	62.8%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
	63.0%	(/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (.f64 (sin.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))
▶	62.5%	(/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) #s(approx ( (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x)))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))
	99.0%	(/.f64 (+.f64 (fma.f64 (sin.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) (.f64 (cos.f64 x) (tan.f64 x))) (.f64 (cos.f64 x) (tan.f64 eps))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
▶	99.3%	(/.f64 #s(approx (+ (* (neg (sin x)) (- 1 (* (tan x) (tan eps)))) (* (cos x) (+ (tan x) (tan eps)))) (fma.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x) (.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))))) #s(literal 0 binary64))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))
	99.0%	(/.f64 #s(approx (+ (* (neg (sin x)) (- 1 (* (tan x) (tan eps)))) (* (cos x) (+ (tan x) (tan eps)))) (fma.f64 eps (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) #s(literal 0 binary64))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))
	63.1%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
	21.1%	(-.f64 (/.f64 (sin.f64 (/.f64 (fma.f64 eps (.f64 eps eps) (.f64 x (.f64 x x))) (fma.f64 eps eps (-.f64 (.f64 x x) (*.f64 eps x))))) (cos.f64 (+.f64 x eps))) (tan.f64 x))
✓	62.8%	(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
	62.8%	(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 #s(approx (+ x eps) (fma.f64 eps (/.f64 x eps) eps)))) (tan.f64 x))
▶	33.8%	(-.f64 (/.f64 (sin.f64 (.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))) (cos.f64 (+.f64 x eps))) (tan.f64 x))
	62.2%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) (tan.f64 x))
✓	62.8%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	98.5%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (.f64 (+.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) #s(literal -1/6 binary64)) (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) #s(literal -1/6 binary64))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (/.f64 (.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) eps))
▶	97.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64))) #s(literal 1 binary64)))) eps))
	97.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) #s(literal 1 binary64))))) eps))
	97.8%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64))))) eps))
	97.8%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (*.f64 x x)) eps))
	99.0%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6) (/ (sin x) (cos x))))) (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))) (fma.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps))
	97.3%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6) (/ (sin x) (cos x))))) (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 (.f64 x eps) (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64))))) eps))
	97.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6) (/ (sin x) (cos x))))) (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 x (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps (.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) eps))))) eps))
	97.5%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6) (/ (sin x) (cos x))))) (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps))
	48.7%	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (fma.f64 (.f64 eps eps) (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (.f64 (neg.f64 eps) eps)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps)))
▶	97.8%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) (fma.f64 x (*.f64 x eps) eps)))

Compiler

Compiled 1 457 to 666 computations (54.3% saved)

simplify172.0ms (1.1%)

Memory

-14.2MiB live, 190.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 x)
cost-diff	0	(neg.f64 (sin.f64 x))
cost-diff	256	(fma.f64 (neg.f64 (sin.f64 x)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) #s(approx ( (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x))))
cost-diff	12992	(/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) #s(approx ( (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x)))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))
cost-diff	0	(sin.f64 (.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps))))
cost-diff	0	(/.f64 (sin.f64 (.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))) (cos.f64 (+.f64 x eps)))
cost-diff	0	(-.f64 (/.f64 (sin.f64 (.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))) (cos.f64 (+.f64 x eps))) (tan.f64 x))
cost-diff	1728	(.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))
cost-diff	0	(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64))) #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64))) #s(literal 1 binary64))))
cost-diff	0	(fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64))) #s(literal 1 binary64)))) eps)
cost-diff	0	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64))) #s(literal 1 binary64)))) eps))
cost-diff	0	(*.f64 x eps)
cost-diff	0	(fma.f64 x (*.f64 x eps) eps)
cost-diff	0	#s(approx (+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) (fma.f64 x (*.f64 x eps) eps))
cost-diff	0	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) (fma.f64 x (*.f64 x eps) eps)))
cost-diff	0	#s(approx (+ (* (neg (sin x)) (- 1 (* (tan x) (tan eps)))) (* (cos x) (+ (tan x) (tan eps)))) (fma.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x) (.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))))) #s(literal 0 binary64)))
cost-diff	0	(/.f64 #s(approx (+ (* (neg (sin x)) (- 1 (* (tan x) (tan eps)))) (* (cos x) (+ (tan x) (tan eps)))) (fma.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x) (.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))))) #s(literal 0 binary64))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))
cost-diff	64	(fma.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x) (.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))))) #s(literal 0 binary64))
cost-diff	20992	(+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x) (.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)))))

Rules

7 284×	`lower-fma.f32`
7 264×	`lower-fma.f64`
3 232×	`lower-*.f32`
3 208×	`lower-*.f64`
1 850×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	781
0	127	798
1	240	748
2	545	708
3	1575	677
4	4252	666
5	6573	666
0	8187	642

Stop Event

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

Calls

Call 1

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

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

localize366.0ms (2.4%)

Memory

17.1MiB live, 359.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.015625	(*.f64 (tan.f64 x) (tan.f64 eps))
accuracy	0.0234375	(/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) #s(approx ( (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x)))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))
accuracy	0.34445894510815456	#s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x)))
accuracy	23.5836686788252	(fma.f64 (neg.f64 (sin.f64 x)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) #s(approx ( (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x))))
accuracy	0.12886090590938684	(sin.f64 (.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps))))
accuracy	0.2421875	(/.f64 #s(literal 1 binary64) (-.f64 x eps))
accuracy	23.60414044799329	(-.f64 (/.f64 (sin.f64 (.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))) (cos.f64 (+.f64 x eps))) (tan.f64 x))
accuracy	29.26999152204345	(.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))
accuracy	0.015625	(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64))) #s(literal 1 binary64)))
accuracy	0.29296875	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64)))
accuracy	0.954645651052603	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64))) #s(literal 1 binary64)))) eps))
accuracy	1.256099802005186	#s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64))) #s(literal 1 binary64))))
accuracy	0	(*.f64 x eps)
accuracy	0.00390625	(fma.f64 x (*.f64 x eps) eps)
accuracy	0.954645651052603	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) (fma.f64 x (*.f64 x eps) eps)))
accuracy	1.3161400563418066	#s(approx (+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) (fma.f64 x (*.f64 x eps) eps))
accuracy	0.03515625	(fma.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x) (.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))))) #s(literal 0 binary64))
accuracy	0.10384750976844201	(.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))
accuracy	0.171875	(.f64 #s(literal 1/3 binary64) (.f64 eps eps))
accuracy	0.38837771870342225	#s(approx (+ (* (neg (sin x)) (- 1 (* (tan x) (tan eps)))) (* (cos x) (+ (tan x) (tan eps)))) (fma.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x) (.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))))) #s(literal 0 binary64)))

Samples

147.0ms	94×	1	valid
107.0ms	157×	0	valid
21.0ms	5×	5	exit

Compiler

Compiled 596 to 65 computations (89.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 207.0ms

ival-neg: 50.0ms (24.2% of total)

ival-mult: 48.0ms (23.2% of total)

const: 22.0ms (10.6% of total)

ival-add: 20.0ms (9.7% of total)

adjust: 15.0ms (7.3% of total)

ival-tan: 11.0ms (5.3% of total)

ival-div: 11.0ms (5.3% of total)

ival-sin: 11.0ms (5.3% of total)

ival-cos: 7.0ms (3.4% of total)

ival-sub: 6.0ms (2.9% of total)

ival-pow2: 6.0ms (2.9% of total)

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

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

exact: 0.0ms (0% of total)

series70.0ms (0.5%)

Memory

13.8MiB live, 64.3MiB allocated

Counts

26 → 552

Calls

Call 1

Inputs
#s(alt (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x) (.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))))) (patch (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x) (.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))))) #<representation binary64>) () ())
#s(alt (fma.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x) (.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))))) #s(literal 0 binary64)) (patch (fma.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x) (.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))))) #s(literal 0 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* (neg (sin x)) (- 1 (* (tan x) (tan eps)))) (* (cos x) (+ (tan x) (tan eps)))) (fma.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x) (.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))))) #s(literal 0 binary64))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))))) (patch (/.f64 #s(approx (+ (* (neg (sin x)) (- 1 (* (tan x) (tan eps)))) (* (cos x) (+ (tan x) (tan eps)))) (fma.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x) (.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))))) #s(literal 0 binary64))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (neg (sin x)) (- 1 (* (tan x) (tan eps)))) (* (cos x) (+ (tan x) (tan eps)))) (fma.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x) (.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))))) #s(literal 0 binary64))) (patch #s(approx (+ (* (neg (sin x)) (- 1 (* (tan x) (tan eps)))) (* (cos x) (+ (tan x) (tan eps)))) (fma.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x) (.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))))) #s(literal 0 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) (fma.f64 x (.f64 x eps) eps))) (patch #s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ ( eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) (fma.f64 x (*.f64 x eps) eps))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) (fma.f64 x (.f64 x eps) eps)) (patch #s(approx (+ ( eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) (fma.f64 x (*.f64 x eps) eps)) #<representation binary64>) () ())
#s(alt (fma.f64 x (.f64 x eps) eps) (patch (fma.f64 x (.f64 x eps) eps) #<representation binary64>) () ())
#s(alt (.f64 x eps) (patch (.f64 x eps) #<representation binary64>) () ())
#s(alt #s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64))) #s(literal 1 binary64)))) eps)) (patch #s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64))) #s(literal 1 binary64)))) eps)) #<representation binary64>) () ())
#s(alt (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64))) #s(literal 1 binary64)))) eps) (patch (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64))) #s(literal 1 binary64)))) eps) #<representation binary64>) () ())
#s(alt #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64))) #s(literal 1 binary64)))) (patch #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64))) #s(literal 1 binary64))) (patch (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) (patch (.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (sin.f64 (.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))) (cos.f64 (+.f64 x eps))) (tan.f64 x)) (patch (-.f64 (/.f64 (sin.f64 (.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))) (cos.f64 (+.f64 x eps))) (tan.f64 x)) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 (.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))) (cos.f64 (+.f64 x eps))) (patch (/.f64 (sin.f64 (.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))) (cos.f64 (+.f64 x eps))) #<representation binary64>) () ())
#s(alt (sin.f64 (.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))) (patch (sin.f64 (.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) #s(approx ( (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x)))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))))) (patch (/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) #s(approx ( (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x)))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))))) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 (sin.f64 x)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) #s(approx ( (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x)))) (patch (fma.f64 (neg.f64 (sin.f64 x)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) #s(approx ( (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x)))) #<representation binary64>) () ())
#s(alt (neg.f64 (sin.f64 x)) (patch (neg.f64 (sin.f64 x)) #<representation binary64>) () ())
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (patch (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (patch (.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) #<representation binary64>) () ())
#s(alt (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (patch (/.f64 #s(literal 1 binary64) (-.f64 x eps)) #<representation binary64>) () ())
#s(alt #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x))) (patch #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x))) #<representation binary64>) () ())
#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())

Outputs
#s(alt (+ 1 (* 1/3 (pow eps 2))) (taylor 0 x) (#s(alt (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x) (.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))))) (patch (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x) (.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))))) #<representation binary64>) () ())) ())
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#s(alt (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (taylor inf x) (#s(alt #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x))) (patch #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (taylor inf x) (#s(alt #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x))) (patch #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (taylor -inf x) (#s(alt #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x))) (patch #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (taylor -inf x) (#s(alt #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x))) (patch #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (taylor -inf x) (#s(alt #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x))) (patch #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (taylor -inf x) (#s(alt #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x))) (patch #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor 0 eps) (#s(alt #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x))) (patch #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (sin x) (* eps (cos x))) (taylor 0 eps) (#s(alt #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x))) (patch #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (sin x) (* eps (+ (cos x) (* 1/3 (* (pow eps 2) (cos x)))))) (taylor 0 eps) (#s(alt #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x))) (patch #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (sin x) (* eps (+ (cos x) (* (pow eps 2) (+ (* 2/15 (* (pow eps 2) (cos x))) (* 1/3 (cos x))))))) (taylor 0 eps) (#s(alt #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x))) (patch #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (taylor inf eps) (#s(alt #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x))) (patch #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (taylor inf eps) (#s(alt #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x))) (patch #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (taylor inf eps) (#s(alt #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x))) (patch #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (taylor inf eps) (#s(alt #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x))) (patch #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (taylor -inf eps) (#s(alt #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x))) (patch #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (taylor -inf eps) (#s(alt #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x))) (patch #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (taylor -inf eps) (#s(alt #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x))) (patch #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (taylor -inf eps) (#s(alt #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x))) (patch #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin eps)) (cos eps)) (taylor 0 x) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps)))) (taylor 0 x) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* (pow x 2) (+ (* 2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))) (taylor 0 x) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* (pow x 2) (+ (* 1/3 (/ (sin eps) (cos eps))) (* (pow x 2) (+ (* 17/315 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 2/15 (/ (sin eps) (cos eps))))))) (/ (sin eps) (cos eps)))) (taylor 0 x) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) (taylor inf x) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) (taylor inf x) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) (taylor inf x) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) (taylor inf x) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) (taylor -inf x) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) (taylor -inf x) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) (taylor -inf x) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) (taylor -inf x) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (sin x)) (cos x)) (taylor 0 eps) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x)))) (taylor 0 eps) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* (pow eps 2) (+ (* 2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x)))) (taylor 0 eps) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 17/315 (/ (* (pow eps 2) (sin x)) (cos x))) (* 2/15 (/ (sin x) (cos x))))))) (/ (sin x) (cos x)))) (taylor 0 eps) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) (taylor inf eps) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) (taylor inf eps) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) (taylor inf eps) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) (taylor inf eps) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) (taylor -inf eps) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) (taylor -inf eps) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) (taylor -inf eps) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) (taylor -inf eps) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())

Calls

138 calls:

Time	Variable		Point	Expression
18.0ms	eps	@	-inf	(/ (+ (* (neg (sin x)) (- 1 (* (tan x) (tan eps)))) (* (cos x) (+ (tan x) (tan eps)))) (* (cos x) (- 1 (* (tan x) (tan eps)))))
2.0ms	x	@	inf	(+ (/ (pow (sin x) 2) (cos x)) (+ (* (+ (* 1/3 (* eps eps)) 1) (cos x)) (* (/ (pow (sin x) 2) (cos x)) (* 1/3 (* eps eps)))))
2.0ms	eps	@	0	(* (tan x) (tan eps))
2.0ms	x	@	-inf	(+ (/ (pow (sin x) 2) (cos x)) (+ (* (+ (* 1/3 (* eps eps)) 1) (cos x)) (* (/ (pow (sin x) 2) (cos x)) (* 1/3 (* eps eps)))))
1.0ms	x	@	0	(+ (/ (pow (sin x) 2) (cos x)) (+ (* (+ (* 1/3 (* eps eps)) 1) (cos x)) (* (/ (pow (sin x) 2) (cos x)) (* 1/3 (* eps eps)))))

simplify334.0ms (2.2%)

Memory

-1.6MiB live, 467.4MiB allocated

Algorithm

1×	egg-herbie

Rules

10 932×	`lower-fma.f64`
10 932×	`lower-fma.f32`
6 376×	`lower-*.f64`
6 376×	`lower-*.f32`
4 750×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	704	11417
1	2324	10780
2	7863	10764
0	8056	10404

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 542

Calls

Call 1

Inputs
(+ 1 (* 1/3 (pow eps 2)))
(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1 (+ (* -1/2 (+ 1 (* 1/3 (pow eps 2)))) (* 1/3 (pow eps 2)))))))
(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1 (+ (* -1/2 (+ 1 (* 1/3 (pow eps 2)))) (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/6 (+ (* 1/24 (+ 1 (* 1/3 (pow eps 2)))) (* 1/3 (- (* -1/3 (pow eps 2)) (* -1/2 (pow eps 2)))))))))))))
(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1 (+ (* -1/2 (+ 1 (* 1/3 (pow eps 2)))) (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/6 (+ (* 1/24 (+ 1 (* 1/3 (pow eps 2)))) (+ (* 1/3 (- (* -1/3 (pow eps 2)) (* -1/2 (pow eps 2)))) (* (pow x 2) (+ 31/360 (+ (* -1/720 (+ 1 (* 1/3 (pow eps 2)))) (* 1/3 (- (* 2/45 (pow eps 2)) (+ (* -1/2 (- (* -1/3 (pow eps 2)) (* -1/2 (pow eps 2)))) (* 1/24 (pow eps 2))))))))))))))))))
(+ (* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))) (+ (* (cos x) (+ 1 (* 1/3 (pow eps 2)))) (/ (pow (sin x) 2) (cos x))))
(+ (* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))) (+ (* (cos x) (+ 1 (* 1/3 (pow eps 2)))) (/ (pow (sin x) 2) (cos x))))
(+ (* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))) (+ (* (cos x) (+ 1 (* 1/3 (pow eps 2)))) (/ (pow (sin x) 2) (cos x))))
(+ (* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))) (+ (* (cos x) (+ 1 (* 1/3 (pow eps 2)))) (/ (pow (sin x) 2) (cos x))))
(+ (* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))) (+ (* (cos x) (+ 1 (* 1/3 (pow eps 2)))) (/ (pow (sin x) 2) (cos x))))
(+ (* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))) (+ (* (cos x) (+ 1 (* 1/3 (pow eps 2)))) (/ (pow (sin x) 2) (cos x))))
(+ (* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))) (+ (* (cos x) (+ 1 (* 1/3 (pow eps 2)))) (/ (pow (sin x) 2) (cos x))))
(+ (* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))) (+ (* (cos x) (+ 1 (* 1/3 (pow eps 2)))) (/ (pow (sin x) 2) (cos x))))
(+ (cos x) (/ (pow (sin x) 2) (cos x)))
(+ (cos x) (+ (* (pow eps 2) (+ (* 1/3 (cos x)) (* 1/3 (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))
(+ (cos x) (+ (* (pow eps 2) (+ (* 1/3 (cos x)) (* 1/3 (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))
(+ (cos x) (+ (* (pow eps 2) (+ (* 1/3 (cos x)) (* 1/3 (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))
(* (pow eps 2) (+ (* 1/3 (cos x)) (* 1/3 (/ (pow (sin x) 2) (cos x)))))
(* (pow eps 2) (+ (* 1/3 (cos x)) (+ (* 1/3 (/ (pow (sin x) 2) (cos x))) (+ (/ (cos x) (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (cos x)))))))
(* (pow eps 2) (+ (* 1/3 (cos x)) (+ (* 1/3 (/ (pow (sin x) 2) (cos x))) (+ (/ (cos x) (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (cos x)))))))
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(* (pow eps 2) (+ (* 1/3 (cos x)) (+ (* 1/3 (/ (pow (sin x) 2) (cos x))) (+ (/ (cos x) (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (cos x)))))))
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(* eps (+ (cos x) (/ (pow (sin x) 2) (cos x))))
(* eps (+ (cos x) (+ (* (pow eps 2) (+ (* 1/3 (cos x)) (* 1/3 (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))))
(* eps (+ (cos x) (+ (* (pow eps 2) (+ (* 1/3 (cos x)) (* 1/3 (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))))
(* eps (+ (cos x) (+ (* (pow eps 2) (+ (* 1/3 (cos x)) (* 1/3 (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))))
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(/ (sin eps) (cos eps))
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eps
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eps
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(* eps (pow x 2))
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x
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(/ (+ (* -1 (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (+ (* -1 (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (+ (* -1 (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (+ (* -1 (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (sin eps) (cos eps))
(+ (* (pow x 2) (+ (* -1/2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (/ (sin eps) (cos eps)))
(+ (* (pow x 2) (+ (* -1/2 (/ (sin eps) (cos eps))) (+ (* (pow x 2) (+ (* -1 (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))) (* 1/24 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
(+ (* (pow x 2) (+ (* -1/2 (/ (sin eps) (cos eps))) (+ (* (pow x 2) (+ (* -1 (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))) (+ (* 1/24 (/ (sin eps) (cos eps))) (* (pow x 2) (+ (* -1 (+ (* -2/15 (/ (sin eps) (cos eps))) (+ (* -1/120 (/ (sin eps) (cos eps))) (* 1/18 (/ (sin eps) (cos eps)))))) (* -1/720 (/ (sin eps) (cos eps)))))))) (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
(+ (* -1 (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))))
(+ (* -1 (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))))
(+ (* -1 (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))))
(+ (* -1 (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))))
(+ (* -1 (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))))
(+ (* -1 (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))))
(+ (* -1 (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))))
(+ (* -1 (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))))
(+ (sin x) (* -1 (sin x)))
(+ (sin x) (+ (* -1 (sin x)) (* eps (+ (cos x) (/ (pow (sin x) 2) (cos x))))))
(+ (sin x) (+ (* -1 (sin x)) (* eps (+ (cos x) (+ (* (pow eps 2) (+ (* 1/3 (cos x)) (* 1/3 (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))))))
(+ (sin x) (+ (* -1 (sin x)) (* eps (+ (cos x) (+ (* (pow eps 2) (+ (* 1/3 (cos x)) (+ (* 1/3 (/ (pow (sin x) 2) (cos x))) (* (pow eps 2) (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))))))) (/ (pow (sin x) 2) (cos x)))))))
(+ (* -1 (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))))
(+ (* -1 (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))))
(+ (* -1 (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))))
(+ (* -1 (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))))
(+ (* -1 (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))))
(+ (* -1 (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))))
(+ (* -1 (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))))
(+ (* -1 (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))))
(* -1 x)
(* x (- (* 1/6 (pow x 2)) 1))
(* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1))
(* -1 (sin x))
(* -1 (sin x))
(* -1 (sin x))
(* -1 (sin x))
(* -1 (sin x))
(* -1 (sin x))
(* -1 (sin x))
(* -1 (sin x))
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))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (+ (* 1/3 (* (pow x 2) (- (* -1/3 (pow eps 2)) (* -1/2 (pow eps 2))))) (* 1/3 (pow eps 2))))
(* (pow x 2) (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ (* 1/3 (* (pow x 2) (- (* 2/45 (pow eps 2)) (+ (* -1/2 (- (* -1/3 (pow eps 2)) (* -1/2 (pow eps 2)))) (* 1/24 (pow eps 2)))))) (* 1/3 (- (* -1/3 (pow eps 2)) (* -1/2 (pow eps 2))))))))
(* (pow x 2) (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ (* 1/3 (- (* -1/3 (pow eps 2)) (* -1/2 (pow eps 2)))) (* (pow x 2) (+ (* 1/3 (* (pow x 2) (- (* -1/315 (pow eps 2)) (+ (* -1/2 (- (* 2/45 (pow eps 2)) (+ (* -1/2 (- (* -1/3 (pow eps 2)) (* -1/2 (pow eps 2)))) (* 1/24 (pow eps 2))))) (+ (* -1/720 (pow eps 2)) (* 1/24 (- (* -1/3 (pow eps 2)) (* -1/2 (pow eps 2))))))))) (* 1/3 (- (* 2/45 (pow eps 2)) (+ (* -1/2 (- (* -1/3 (pow eps 2)) (* -1/2 (pow eps 2)))) (* 1/24 (pow eps 2)))))))))))
(* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x)))
(* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x)))
(* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x)))
(* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x)))
(* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x)))
(* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x)))
(* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x)))
(* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x)))
(* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x)))
(* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x)))
(* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x)))
(* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x)))
(* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x)))
(* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x)))
(* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x)))
(* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x)))
(* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x)))
(* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x)))
(* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x)))
(* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x)))
(* 2/3 x)
(* x (+ 2/3 (* 17/45 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))
(* 62/315 (pow x 5))
(* (pow x 5) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 62/315 (+ (/ 2/3 (pow x 4)) (* 17/45 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 62/315 (+ (/ 2/3 (pow x 4)) (* 17/45 (/ 1 (pow x 2))))))
(* 62/315 (pow x 5))
(* (pow x 5) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 17/45 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 62/315)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 17/45 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 62/315)))
(/ -1 eps)
(- (* -1 (/ x (pow eps 2))) (/ 1 eps))
(- (* x (- (* -1 (/ x (pow eps 3))) (/ 1 (pow eps 2)))) (/ 1 eps))
(- (* x (- (* x (- (* -1 (/ x (pow eps 4))) (/ 1 (pow eps 3)))) (/ 1 (pow eps 2)))) (/ 1 eps))
(/ 1 x)
(/ (+ 1 (/ eps x)) x)
(/ (- (+ 1 (/ (pow eps 2) (pow x 2))) (* -1 (/ eps x))) x)
(/ (- (+ 1 (/ (pow eps 3) (pow x 3))) (+ (* -1 (/ eps x)) (* -1 (/ (pow eps 2) (pow x 2))))) x)
(/ 1 x)
(* -1 (/ (- (* -1 (/ eps x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow eps 2) x) (* -1 eps)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow eps 3) x)) (pow eps 2)) x)) (* -1 eps)) x)) 1) x))
(/ 1 x)
(+ (/ 1 x) (/ eps (pow x 2)))
(+ (* eps (+ (/ 1 (pow x 2)) (/ eps (pow x 3)))) (/ 1 x))
(+ (* eps (+ (* eps (+ (/ 1 (pow x 3)) (/ eps (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x))
(/ -1 eps)
(/ (- (* -1 (/ x eps)) 1) eps)
(/ (- (* -1 (/ (pow x 2) (pow eps 2))) (+ 1 (/ x eps))) eps)
(/ (- (* -1 (/ (pow x 3) (pow eps 3))) (+ 1 (+ (/ x eps) (/ (pow x 2) (pow eps 2))))) eps)
(/ -1 eps)
(* -1 (/ (+ 1 (/ x eps)) eps))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) eps)) x) eps))) eps))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) eps) (* -1 (pow x 2))) eps)) x) eps))) eps))
(/ (sin eps) (cos eps))
(+ x (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* -1/2 (/ (* x (sin eps)) (cos eps))))) (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* x (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/6 x))))) (/ (sin eps) (cos eps)))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(sin x)
(+ (sin x) (* eps (cos x)))
(+ (sin x) (* eps (+ (cos x) (* 1/3 (* (pow eps 2) (cos x))))))
(+ (sin x) (* eps (+ (cos x) (* (pow eps 2) (+ (* 2/15 (* (pow eps 2) (cos x))) (* 1/3 (cos x)))))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(/ (* x (sin eps)) (cos eps))
(* x (+ (* 1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps))))
(* x (+ (* (pow x 2) (+ (* 2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))))
(* x (+ (* (pow x 2) (+ (* 1/3 (/ (sin eps) (cos eps))) (* (pow x 2) (+ (* 17/315 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 2/15 (/ (sin eps) (cos eps))))))) (/ (sin eps) (cos eps))))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* eps (sin x)) (cos x))
(* eps (+ (* 1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x))))
(* eps (+ (* (pow eps 2) (+ (* 2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x))))
(* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 17/315 (/ (* (pow eps 2) (sin x)) (cos x))) (* 2/15 (/ (sin x) (cos x))))))) (/ (sin x) (cos x))))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))

Outputs
(+ 1 (* 1/3 (pow eps 2)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64))
(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1 (+ (* -1/2 (+ 1 (* 1/3 (pow eps 2)))) (* 1/3 (pow eps 2)))))))
(fma.f64 (.f64 x x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64)))
(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1 (+ (* -1/2 (+ 1 (* 1/3 (pow eps 2)))) (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/6 (+ (* 1/24 (+ 1 (* 1/3 (pow eps 2)))) (* 1/3 (- (* -1/3 (pow eps 2)) (* -1/2 (pow eps 2)))))))))))))
(fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 eps eps) #s(literal 1/18 binary64) (+.f64 #s(literal 5/24 binary64) (.f64 #s(literal 1/72 binary64) (.f64 eps eps)))) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps))))) #s(literal 1 binary64)))
(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1 (+ (* -1/2 (+ 1 (* 1/3 (pow eps 2)))) (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/6 (+ (* 1/24 (+ 1 (* 1/3 (pow eps 2)))) (+ (* 1/3 (- (* -1/3 (pow eps 2)) (* -1/2 (pow eps 2)))) (* (pow x 2) (+ 31/360 (+ (* -1/720 (+ 1 (* 1/3 (pow eps 2)))) (* 1/3 (- (* 2/45 (pow eps 2)) (+ (* -1/2 (- (* -1/3 (pow eps 2)) (* -1/2 (pow eps 2)))) (* 1/24 (pow eps 2))))))))))))))))))
(fma.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/3 binary64) (-.f64 (.f64 (.f64 eps eps) #s(literal 2/45 binary64)) (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) (.f64 (.f64 eps eps) #s(literal -1/12 binary64)))) (+.f64 #s(literal 61/720 binary64) (.f64 #s(literal -1/2160 binary64) (.f64 eps eps)))) (fma.f64 (.f64 eps eps) #s(literal 1/18 binary64) (+.f64 #s(literal 5/24 binary64) (.f64 #s(literal 1/72 binary64) (.f64 eps eps))))) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal -1/2 binary64))))) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))
(+ (* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))) (+ (* (cos x) (+ 1 (* 1/3 (pow eps 2)))) (/ (pow (sin x) 2) (cos x))))
(fma.f64 #s(literal 1/3 binary64) (.f64 (.f64 eps eps) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))
(+ (* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))) (+ (* (cos x) (+ 1 (* 1/3 (pow eps 2)))) (/ (pow (sin x) 2) (cos x))))
(fma.f64 #s(literal 1/3 binary64) (.f64 (.f64 eps eps) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))
(+ (* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))) (+ (* (cos x) (+ 1 (* 1/3 (pow eps 2)))) (/ (pow (sin x) 2) (cos x))))
(fma.f64 #s(literal 1/3 binary64) (.f64 (.f64 eps eps) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))
(+ (* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))) (+ (* (cos x) (+ 1 (* 1/3 (pow eps 2)))) (/ (pow (sin x) 2) (cos x))))
(fma.f64 #s(literal 1/3 binary64) (.f64 (.f64 eps eps) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))
(+ (* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))) (+ (* (cos x) (+ 1 (* 1/3 (pow eps 2)))) (/ (pow (sin x) 2) (cos x))))
(fma.f64 #s(literal 1/3 binary64) (.f64 (.f64 eps eps) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))
(+ (* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))) (+ (* (cos x) (+ 1 (* 1/3 (pow eps 2)))) (/ (pow (sin x) 2) (cos x))))
(fma.f64 #s(literal 1/3 binary64) (.f64 (.f64 eps eps) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))
(+ (* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))) (+ (* (cos x) (+ 1 (* 1/3 (pow eps 2)))) (/ (pow (sin x) 2) (cos x))))
(fma.f64 #s(literal 1/3 binary64) (.f64 (.f64 eps eps) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))
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(*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))
(/ (* x (sin eps)) (cos eps))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(* x (+ (* 1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps))))
(.f64 x (fma.f64 (.f64 x x) (/.f64 (*.f64 #s(literal 1/3 binary64) (sin.f64 eps)) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(* x (+ (* (pow x 2) (+ (* 2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 #s(literal 2/15 binary64) (.f64 x x)) (/.f64 (*.f64 #s(literal 1/3 binary64) (sin.f64 eps)) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(* x (+ (* (pow x 2) (+ (* 1/3 (/ (sin eps) (cos eps))) (* (pow x 2) (+ (* 17/315 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 2/15 (/ (sin eps) (cos eps))))))) (/ (sin eps) (cos eps))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 2/15 binary64) (.f64 (.f64 #s(literal 17/315 binary64) (.f64 x x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (/.f64 (*.f64 #s(literal 1/3 binary64) (sin.f64 eps)) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps))))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps))))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps))))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps))))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps))))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps))))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps))))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps))))
(/ (* eps (sin x)) (cos x))
(/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))
(* eps (+ (* 1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x))))
(.f64 eps (fma.f64 (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))))
(* eps (+ (* (pow eps 2) (+ (* 2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x))))
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 #s(literal 1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (.f64 (.f64 #s(literal 2/15 binary64) (*.f64 eps eps)) (sin.f64 x)) (cos.f64 x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 17/315 (/ (* (pow eps 2) (sin x)) (cos x))) (* 2/15 (/ (sin x) (cos x))))))) (/ (sin x) (cos x))))
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2/15 binary64) (.f64 (.f64 #s(literal 17/315 binary64) (.f64 eps eps)) (/.f64 (sin.f64 x) (cos.f64 x)))) (/.f64 (*.f64 #s(literal 1/3 binary64) (sin.f64 x)) (cos.f64 x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps))))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps))))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps))))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps))))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps))))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps))))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps))))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps))))

rewrite309.0ms (2%)

Memory

-2.0MiB live, 402.0MiB allocated

Rules

4 610×	`lower-fma.f32`
4 590×	`lower-fma.f64`
4 530×	`lower-*.f32`
4 506×	`lower-*.f64`
2 842×	`lower-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	576
0	127	552
1	515	478
2	4396	474
0	8184	464

Stop Event

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

Counts

26 → 454

Calls

Call 1

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

Outputs
(+.f64 (.f64 (sin.f64 x) (tan.f64 x)) (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))))
(+.f64 (.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (fma.f64 (sin.f64 x) (tan.f64 x) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))))
(+.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) (.f64 (sin.f64 x) (tan.f64 x)))
(+.f64 (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64))) (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (sin.f64 x) (tan.f64 x))))
(+.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) (.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))))
(+.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)))) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal 2 binary64)) (-.f64 (.f64 (sin.f64 x) (tan.f64 x)) (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))))) (/.f64 (pow.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 (sin.f64 x) (tan.f64 x)) (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))))))
(fma.f64 (sin.f64 x) (tan.f64 x) (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64)))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (fma.f64 (sin.f64 x) (tan.f64 x) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (cos.f64 x)) (fma.f64 (sin.f64 x) (tan.f64 x) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64)))))
(fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (*.f64 (sin.f64 x) (tan.f64 x))))
(fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (fma.f64 (sin.f64 x) (tan.f64 x) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1/3 binary64) (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (tan.f64 x))) (fma.f64 (sin.f64 x) (tan.f64 x) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64)))))
(fma.f64 (.f64 eps eps) (.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (tan.f64 x)) (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x) (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (*.f64 (sin.f64 x) (tan.f64 x))))
(fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (sin.f64 x) (tan.f64 x)) (fma.f64 (sin.f64 x) (tan.f64 x) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64)))))
(fma.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))))
(fma.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (tan.f64 x))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (-.f64 (.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64))))))) (*.f64 (sin.f64 x) (tan.f64 x)))
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(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)))))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (tan.f64 x))))
(/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (cos.f64 x))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)))) (neg.f64 (cos.f64 x)))
(/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (neg.f64 (cos.f64 x)))
(/.f64 (.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (neg.f64 (cos.f64 x)))
(pow.f64 (/.f64 (cos.f64 x) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)))) #s(literal -1 binary64))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (cos.f64 x)))
(.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)))
(.f64 #s(literal 1/3 binary64) (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (tan.f64 x))))
(.f64 (.f64 eps eps) (.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal 1/3 binary64)))
(.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (sin.f64 x) (tan.f64 x)))
(.f64 (.f64 #s(literal 1/3 binary64) eps) (.f64 (.f64 (sin.f64 x) (tan.f64 x)) eps))
(.f64 (.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal 1/3 binary64)) (.f64 eps eps))
(.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(.f64 (.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 eps eps)) #s(literal 1/3 binary64))
(.f64 (.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) eps)) eps)
(.f64 (.f64 (.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal 1/3 binary64)) eps) eps)
(+.f64 (.f64 x #s(literal 2/3 binary64)) (.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)))))
(+.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)))) (*.f64 x #s(literal 2/3 binary64)))
(fma.f64 x #s(literal 2/3 binary64) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)))))
(fma.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)))) (.f64 x #s(literal 2/3 binary64)))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64))) (.f64 x #s(literal 2/3 binary64)))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (.f64 x (.f64 x x)) (.f64 x #s(literal 2/3 binary64)))
(fma.f64 #s(literal 2/3 binary64) x (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)))))
(fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)))) x (.f64 x #s(literal 2/3 binary64)))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (.f64 x #s(literal 2/3 binary64)))
(fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64))) (.f64 x x) (.f64 x #s(literal 2/3 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)))) (.f64 x (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64))))) (.f64 x (.f64 x x)) (.f64 #s(literal 8/27 binary64) (.f64 x (.f64 x x)))) (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)))) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)))) (-.f64 (.f64 (.f64 x #s(literal 2/3 binary64)) (.f64 x #s(literal 2/3 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)))) (*.f64 x #s(literal 2/3 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)))) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64))))) (.f64 (.f64 x #s(literal 2/3 binary64)) (.f64 x #s(literal 2/3 binary64)))) (-.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)))) (*.f64 x #s(literal 2/3 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)))) (.f64 x (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)))) #s(literal 8/27 binary64))) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64))) (.f64 x (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)))) #s(literal 4/9 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64))) #s(literal 2/3 binary64)))))
(/.f64 (.f64 x (fma.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64))))) #s(literal -4/9 binary64))) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal -2/3 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)))) (.f64 x (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)))) #s(literal 8/27 binary64)) x) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64))) (.f64 x (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)))) #s(literal 4/9 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64))) #s(literal 2/3 binary64)))))
(/.f64 (.f64 (fma.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64))))) #s(literal -4/9 binary64)) x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal -2/3 binary64)))
(.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64))) #s(literal 2/3 binary64)))
(.f64 (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64))) #s(literal 2/3 binary64)) x)
(exp.f64 (*.f64 (log.f64 (-.f64 x eps)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 x eps)))
(/.f64 #s(literal 1 binary64) (-.f64 x eps))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (-.f64 x eps))))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 x eps)))
(pow.f64 (-.f64 x eps) #s(literal -1 binary64))
(pow.f64 (neg.f64 (neg.f64 (-.f64 x eps))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 x eps) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (-.f64 x eps) (-.f64 x eps)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (-.f64 x eps))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x eps))))
(*.f64 (pow.f64 (-.f64 x eps) #s(literal -1/2 binary64)) (pow.f64 (-.f64 x eps) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x (.f64 eps (+.f64 x eps))) (-.f64 x eps))) (fma.f64 x x (.f64 eps (+.f64 x eps))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x (.f64 eps (+.f64 x eps))) (-.f64 x eps))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 eps (+.f64 x eps)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x eps) (+.f64 x eps))) (+.f64 x eps))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x eps) (+.f64 x eps))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 x eps) (+.f64 x eps)) (fma.f64 x (.f64 x x) (.f64 eps (.f64 eps eps)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (.f64 x x))))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 x eps) (+.f64 x eps)) (fma.f64 x (.f64 x x) (.f64 eps (.f64 eps eps)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (.f64 eps eps))))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 x eps) (+.f64 x eps)) (*.f64 (+.f64 x eps) (-.f64 eps x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 eps x)))
#s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64))) (sin.f64 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 eps)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 eps) (tan.f64 x)) (cos.f64 eps))
(.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (tan.f64 x) (tan.f64 eps))
(*.f64 (tan.f64 eps) (tan.f64 x))
(.f64 (.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1 binary64) (tan.f64 x)) (tan.f64 eps))
(.f64 (.f64 #s(literal 1 binary64) (tan.f64 eps)) (tan.f64 x))

eval179.0ms (1.2%)

Memory: -13.2MiB live, 220.6MiB allocated
Compiler: Compiled 43 047 to 2 516 computations (94.2% saved)

prune203.0ms (1.3%)

Memory

18.3MiB live, 255.8MiB allocated

Pruning

30 alts after pruning (24 fresh and 6 done)

	Pruned	Kept	Total
New	1 108	12	1 120
Fresh	8	12	20
Picked	1	4	5
Done	0	2	2
Total	1 117	30	1 147

Accuracy

100.0%

Counts

1 147 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.1%	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
	62.8%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
	63.0%	(/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (.f64 (sin.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))
✓	62.5%	(/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) #s(approx ( (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x)))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))
▶	62.5%	(/.f64 (/.f64 (fma.f64 (sin.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) #s(approx ( (cos x) (+ (tan x) (tan eps))) (fma.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64))) (sin.f64 x)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
	99.0%	(/.f64 (+.f64 (fma.f64 (sin.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) (.f64 (cos.f64 x) (tan.f64 x))) (.f64 (cos.f64 x) (tan.f64 eps))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
▶	99.4%	(/.f64 #s(approx (+ (* (neg (sin x)) (- 1 (* (tan x) (tan eps)))) (* (cos x) (+ (tan x) (tan eps)))) (fma.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) eps (.f64 (.f64 (sin.f64 x) (tan.f64 x)) eps))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
	99.3%	(/.f64 #s(approx (+ (* (neg (sin x)) (- 1 (* (tan x) (tan eps)))) (* (cos x) (+ (tan x) (tan eps)))) (fma.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) eps (.f64 (.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
	98.0%	(/.f64 #s(approx (+ (* (neg (sin x)) (- 1 (* (tan x) (tan eps)))) (* (cos x) (+ (tan x) (tan eps)))) (fma.f64 eps #s(approx (+ (/ (pow (sin x) 2) (cos x)) (+ (* (+ (* 1/3 (* eps eps)) 1) (cos x)) (* (/ (pow (sin x) 2) (cos x)) (* 1/3 (* eps eps))))) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 eps eps) #s(literal 1/18 binary64) (+.f64 #s(literal 5/24 binary64) (.f64 #s(literal 1/72 binary64) (.f64 eps eps)))) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))) #s(literal 1 binary64)))) #s(literal 0 binary64))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
	99.3%	(/.f64 #s(approx (+ (* (neg (sin x)) (- 1 (* (tan x) (tan eps)))) (* (cos x) (+ (tan x) (tan eps)))) (.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64))))) eps)) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))
	99.0%	(/.f64 #s(approx (+ (* (neg (sin x)) (- 1 (* (tan x) (tan eps)))) (* (cos x) (+ (tan x) (tan eps)))) #s(approx (+ (* eps (+ (/ (pow (sin x) 2) (cos x)) (+ (* (+ (* 1/3 (* eps eps)) 1) (cos x)) (* (/ (pow (sin x) 2) (cos x)) (* 1/3 (* eps eps)))))) 0) (.f64 eps (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
	63.1%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
	21.1%	(-.f64 (/.f64 (sin.f64 (/.f64 (fma.f64 eps (.f64 eps eps) (.f64 x (.f64 x x))) (fma.f64 eps eps (-.f64 (.f64 x x) (*.f64 eps x))))) (cos.f64 (+.f64 x eps))) (tan.f64 x))
✓	62.8%	(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
▶	62.8%	(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 #s(approx (+ x eps) (fma.f64 eps (/.f64 x eps) eps)))) (tan.f64 x))
✓	33.8%	(-.f64 (/.f64 (sin.f64 (.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))) (cos.f64 (+.f64 x eps))) (tan.f64 x))
	62.2%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) (tan.f64 x))
✓	62.8%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	98.5%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
▶	97.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) #s(literal 1 binary64)))) eps))
✓	97.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64))) #s(literal 1 binary64)))) eps))
	97.8%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 x #s(approx (* x (+ (* (* x x) (+ (* (* x x) 62/315) 17/45)) 2/3)) (*.f64 x #s(literal 2/3 binary64))) #s(literal 1 binary64)))) eps))
	97.3%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6) (/ (sin x) (cos x))))) (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 (.f64 x eps) (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64))))) eps))
	97.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6) (/ (sin x) (cos x))))) (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 x (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps (.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) eps))))) eps))
	97.5%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6) (/ (sin x) (cos x))))) (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps))
	48.1%	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (-.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64))) #s(literal 2/3 binary64)) #s(literal 1 binary64)))) #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64))) #s(literal 2/3 binary64)) #s(literal 1 binary64))))))) (-.f64 eps (.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64))) #s(literal 2/3 binary64)) #s(literal 1 binary64))))))))
✓	97.8%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) (fma.f64 x (*.f64 x eps) eps)))
	97.8%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) (*.f64 (fma.f64 x x #s(literal 1 binary64)) eps)))
	48.5%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) #s(approx (+ (* x (* x eps)) eps) (.f64 (.f64 x x) (+.f64 eps (/.f64 eps (*.f64 x x)))))))
▶	6.4%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) #s(approx (+ (* x (* x eps)) eps) (.f64 eps (.f64 x x)))))

Compiler

Compiled 1 446 to 685 computations (52.6% saved)

simplify199.0ms (1.3%)

Memory

-16.0MiB live, 238.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (sin.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) #s(approx ( (cos x) (+ (tan x) (tan eps))) (fma.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64))) (sin.f64 x))))
cost-diff	0	(/.f64 (/.f64 (fma.f64 (sin.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) #s(approx ( (cos x) (+ (tan x) (tan eps))) (fma.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64))) (sin.f64 x)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
cost-diff	256	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
cost-diff	13376	(/.f64 (fma.f64 (sin.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) #s(approx ( (cos x) (+ (tan x) (tan eps))) (fma.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64))) (sin.f64 x)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
cost-diff	0	(sin.f64 (+.f64 x eps))
cost-diff	0	(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 #s(approx (+ x eps) (fma.f64 eps (/.f64 x eps) eps))))
cost-diff	0	(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 #s(approx (+ x eps) (fma.f64 eps (/.f64 x eps) eps)))) (tan.f64 x))
cost-diff	896	(fma.f64 eps (/.f64 x eps) eps)
cost-diff	0	(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) #s(literal 1 binary64))))
cost-diff	0	(fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) #s(literal 1 binary64)))) eps)
cost-diff	0	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) #s(literal 1 binary64)))) eps))
cost-diff	0	(.f64 eps (.f64 x x))
cost-diff	0	#s(approx (+ (* x (* x eps)) eps) (.f64 eps (.f64 x x)))
cost-diff	0	#s(approx (+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) #s(approx (+ (* x (* x eps)) eps) (.f64 eps (.f64 x x))))
cost-diff	0	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) #s(approx (+ (* x (* x eps)) eps) (.f64 eps (.f64 x x)))))
cost-diff	0	(fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64))))
cost-diff	0	#s(approx (+ (* (neg (sin x)) (- 1 (* (tan x) (tan eps)))) (* (cos x) (+ (tan x) (tan eps)))) (fma.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) eps (.f64 (*.f64 (sin.f64 x) (tan.f64 x)) eps)))
cost-diff	0	(/.f64 #s(approx (+ (* (neg (sin x)) (- 1 (* (tan x) (tan eps)))) (* (cos x) (+ (tan x) (tan eps)))) (fma.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) eps (.f64 (.f64 (sin.f64 x) (tan.f64 x)) eps))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
cost-diff	14464	(fma.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) eps (.f64 (*.f64 (sin.f64 x) (tan.f64 x)) eps))

Rules

6 680×	`lower-fma.f32`
6 662×	`lower-fma.f64`
4 608×	`lower-*.f32`
4 586×	`lower-*.f64`
1 442×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	721
0	118	715
1	230	709
2	513	676
3	1506	651
4	2804	634
5	5998	634
0	8214	605

Stop Event

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

Calls

Call 1

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

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

localize308.0ms (2%)

Memory

18.9MiB live, 362.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.015625	(*.f64 (tan.f64 x) (tan.f64 eps))
accuracy	0.0234375	(/.f64 (/.f64 (fma.f64 (sin.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) #s(approx ( (cos x) (+ (tan x) (tan eps))) (fma.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64))) (sin.f64 x)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
accuracy	0.34445894510815456	#s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64))) (sin.f64 x)))
accuracy	23.5836686788252	(fma.f64 (sin.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) #s(approx ( (cos x) (+ (tan x) (tan eps))) (fma.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64))) (sin.f64 x))))
accuracy	0.12674859825865142	(cos.f64 #s(approx (+ x eps) (fma.f64 eps (/.f64 x eps) eps)))
accuracy	0.12886090590938684	(sin.f64 (+.f64 x eps))
accuracy	0.25	(fma.f64 eps (/.f64 x eps) eps)
accuracy	23.60414044799329	(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 #s(approx (+ x eps) (fma.f64 eps (/.f64 x eps) eps)))) (tan.f64 x))
accuracy	0.01171875	(fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64))
accuracy	0.0234375	(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) #s(literal 1 binary64)))
accuracy	0.954645651052603	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) #s(literal 1 binary64)))) eps))
accuracy	1.2694698007588563	#s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) #s(literal 1 binary64))))
accuracy	0.08984375	(.f64 eps (.f64 x x))
accuracy	0.954645651052603	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) #s(approx (+ (* x (* x eps)) eps) (.f64 eps (.f64 x x)))))
accuracy	1.3161400563418066	#s(approx (+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) #s(approx (+ (* x (* x eps)) eps) (.f64 eps (.f64 x x))))
accuracy	58.330653105036426	#s(approx (+ (* x (* x eps)) eps) (.f64 eps (.f64 x x)))
accuracy	0.0234375	(/.f64 #s(approx (+ (* (neg (sin x)) (- 1 (* (tan x) (tan eps)))) (* (cos x) (+ (tan x) (tan eps)))) (fma.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) eps (.f64 (.f64 (sin.f64 x) (tan.f64 x)) eps))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
accuracy	0.078125	(.f64 (.f64 (sin.f64 x) (tan.f64 x)) eps)
accuracy	0.171875	(.f64 #s(literal 1/3 binary64) (.f64 eps eps))
accuracy	0.38837771870342225	#s(approx (+ (* (neg (sin x)) (- 1 (* (tan x) (tan eps)))) (* (cos x) (+ (tan x) (tan eps)))) (fma.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) eps (.f64 (*.f64 (sin.f64 x) (tan.f64 x)) eps)))

Samples

87.0ms	94×	1	valid
84.0ms	157×	0	valid
37.0ms	5×	5	exit

Compiler

Compiled 491 to 64 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 174.0ms

ival-mult: 73.0ms (42% of total)

ival-add: 18.0ms (10.4% of total)

ival-div: 15.0ms (8.6% of total)

adjust: 14.0ms (8.1% of total)

const: 13.0ms (7.5% of total)

ival-tan: 11.0ms (6.3% of total)

ival-sin: 8.0ms (4.6% of total)

ival-cos: 7.0ms (4% of total)

ival-pow2: 6.0ms (3.5% of total)

ival-sub: 5.0ms (2.9% of total)

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

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

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

exact: 0.0ms (0% of total)

series79.0ms (0.5%)

Memory

-27.9MiB live, 106.0MiB allocated

Counts

26 → 576

Calls

Call 1

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

Outputs
#s(alt (* eps (+ 1 (* 1/3 (pow eps 2)))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) eps (.f64 (.f64 (sin.f64 x) (tan.f64 x)) eps)) (patch (fma.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) eps (.f64 (.f64 (sin.f64 x) (tan.f64 x)) eps)) #<representation binary64>) () ())) ())
#s(alt (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow x 2) (+ eps (* eps (+ (* -1/2 (+ 1 (* 1/3 (pow eps 2)))) (* 1/3 (pow eps 2))))))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) eps (.f64 (.f64 (sin.f64 x) (tan.f64 x)) eps)) (patch (fma.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) eps (.f64 (.f64 (sin.f64 x) (tan.f64 x)) eps)) #<representation binary64>) () ())) ())
#s(alt (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow x 2) (+ eps (+ (* eps (+ (* -1/2 (+ 1 (* 1/3 (pow eps 2)))) (* 1/3 (pow eps 2)))) (* (pow x 2) (+ (* 1/6 eps) (* eps (+ (* 1/24 (+ 1 (* 1/3 (pow eps 2)))) (* 1/18 (pow eps 2)))))))))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) eps (.f64 (.f64 (sin.f64 x) (tan.f64 x)) eps)) (patch (fma.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) eps (.f64 (.f64 (sin.f64 x) (tan.f64 x)) eps)) #<representation binary64>) () ())) ())
#s(alt (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow x 2) (+ eps (+ (* eps (+ (* -1/2 (+ 1 (* 1/3 (pow eps 2)))) (* 1/3 (pow eps 2)))) (* (pow x 2) (+ (* 1/6 eps) (+ (* eps (+ (* 1/24 (+ 1 (* 1/3 (pow eps 2)))) (* 1/18 (pow eps 2)))) (* (pow x 2) (+ (* 31/360 eps) (* eps (+ (* -1/720 (+ 1 (* 1/3 (pow eps 2)))) (* 31/1080 (pow eps 2))))))))))))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) eps (.f64 (.f64 (sin.f64 x) (tan.f64 x)) eps)) (patch (fma.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) eps (.f64 (.f64 (sin.f64 x) (tan.f64 x)) eps)) #<representation binary64>) () ())) ())
#s(alt (+ (* eps (+ (* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))) (* (cos x) (+ 1 (* 1/3 (pow eps 2)))))) (/ (* eps (pow (sin x) 2)) (cos x))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) eps (.f64 (.f64 (sin.f64 x) (tan.f64 x)) eps)) (patch (fma.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) eps (.f64 (.f64 (sin.f64 x) (tan.f64 x)) eps)) #<representation binary64>) () ())) ())
#s(alt (+ (* eps (+ (* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))) (* (cos x) (+ 1 (* 1/3 (pow eps 2)))))) (/ (* eps (pow (sin x) 2)) (cos x))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) eps (.f64 (.f64 (sin.f64 x) (tan.f64 x)) eps)) (patch (fma.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) eps (.f64 (.f64 (sin.f64 x) (tan.f64 x)) eps)) #<representation binary64>) () ())) ())
#s(alt (+ (* eps (+ (* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))) (* (cos x) (+ 1 (* 1/3 (pow eps 2)))))) (/ (* eps (pow (sin x) 2)) (cos x))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) eps (.f64 (.f64 (sin.f64 x) (tan.f64 x)) eps)) (patch (fma.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) eps (.f64 (.f64 (sin.f64 x) (tan.f64 x)) eps)) #<representation binary64>) () ())) ())
#s(alt (+ (* eps (+ (* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))) (* (cos x) (+ 1 (* 1/3 (pow eps 2)))))) (/ (* eps (pow (sin x) 2)) (cos x))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) eps (.f64 (.f64 (sin.f64 x) (tan.f64 x)) eps)) (patch (fma.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) eps (.f64 (.f64 (sin.f64 x) (tan.f64 x)) eps)) #<representation binary64>) () ())) ())
#s(alt (+ (* eps (+ (* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))) (* (cos x) (+ 1 (* 1/3 (pow eps 2)))))) (/ (* eps (pow (sin x) 2)) (cos x))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) eps (.f64 (.f64 (sin.f64 x) (tan.f64 x)) eps)) (patch (fma.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) eps (.f64 (.f64 (sin.f64 x) (tan.f64 x)) eps)) #<representation binary64>) () ())) ())
#s(alt (+ (* eps (+ (* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))) (* (cos x) (+ 1 (* 1/3 (pow eps 2)))))) (/ (* eps (pow (sin x) 2)) (cos x))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) eps (.f64 (.f64 (sin.f64 x) (tan.f64 x)) eps)) (patch (fma.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) eps (.f64 (.f64 (sin.f64 x) (tan.f64 x)) eps)) #<representation binary64>) () ())) ())
#s(alt (+ (* eps (+ (* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))) (* (cos x) (+ 1 (* 1/3 (pow eps 2)))))) (/ (* eps (pow (sin x) 2)) (cos x))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) eps (.f64 (.f64 (sin.f64 x) (tan.f64 x)) eps)) (patch (fma.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) eps (.f64 (.f64 (sin.f64 x) (tan.f64 x)) eps)) #<representation binary64>) () ())) ())
#s(alt (+ (* eps (+ (* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))) (* (cos x) (+ 1 (* 1/3 (pow eps 2)))))) (/ (* eps (pow (sin x) 2)) (cos x))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) eps (.f64 (.f64 (sin.f64 x) (tan.f64 x)) eps)) (patch (fma.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) eps (.f64 (.f64 (sin.f64 x) (tan.f64 x)) eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) eps (.f64 (.f64 (sin.f64 x) (tan.f64 x)) eps)) (patch (fma.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) eps (.f64 (.f64 (sin.f64 x) (tan.f64 x)) eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (cos x) (+ (* (pow eps 2) (+ (* 1/3 (cos x)) (* 1/3 (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))) (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) eps (.f64 (.f64 (sin.f64 x) (tan.f64 x)) eps)) (patch (fma.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) eps (.f64 (.f64 (sin.f64 x) (tan.f64 x)) eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (cos x) (+ (* (pow eps 2) (+ (* 1/3 (cos x)) (* 1/3 (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))) (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) eps (.f64 (.f64 (sin.f64 x) (tan.f64 x)) eps)) (patch (fma.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) eps (.f64 (.f64 (sin.f64 x) (tan.f64 x)) eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (cos x) (+ (* (pow eps 2) (+ (* 1/3 (cos x)) (* 1/3 (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))) (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) eps (.f64 (.f64 (sin.f64 x) (tan.f64 x)) eps)) (patch (fma.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) eps (.f64 (.f64 (sin.f64 x) (tan.f64 x)) eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (+ (* 1/3 (cos x)) (* 1/3 (/ (pow (sin x) 2) (cos x))))) (taylor inf eps) (#s(alt (fma.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) eps (.f64 (.f64 (sin.f64 x) (tan.f64 x)) eps)) (patch (fma.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) eps (.f64 (.f64 (sin.f64 x) (tan.f64 x)) eps)) #<representation binary64>) () ())) ())
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#s(alt (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (taylor -inf eps) (#s(alt #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64))) (sin.f64 x))) (patch #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64))) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin eps)) (cos eps)) (taylor 0 x) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps)))) (taylor 0 x) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* (pow x 2) (+ (* 2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))) (taylor 0 x) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* (pow x 2) (+ (* 1/3 (/ (sin eps) (cos eps))) (* (pow x 2) (+ (* 17/315 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 2/15 (/ (sin eps) (cos eps))))))) (/ (sin eps) (cos eps)))) (taylor 0 x) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) (taylor inf x) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) (taylor inf x) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) (taylor inf x) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) (taylor inf x) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) (taylor -inf x) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) (taylor -inf x) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) (taylor -inf x) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) (taylor -inf x) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (sin x)) (cos x)) (taylor 0 eps) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x)))) (taylor 0 eps) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* (pow eps 2) (+ (* 2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x)))) (taylor 0 eps) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 17/315 (/ (* (pow eps 2) (sin x)) (cos x))) (* 2/15 (/ (sin x) (cos x))))))) (/ (sin x) (cos x)))) (taylor 0 eps) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) (taylor inf eps) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) (taylor inf eps) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) (taylor inf eps) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) (taylor inf eps) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) (taylor -inf eps) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) (taylor -inf eps) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) (taylor -inf eps) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) (taylor -inf eps) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())

Calls

144 calls:

Time	Variable		Point	Expression
18.0ms	x	@	-inf	(* (* x x) (+ (* (* x x) (+ (* (* x x) 17/45) 2/3)) 1))
3.0ms	eps	@	-inf	(/ (+ (* (sin x) (neg (- 1 (* (tan x) (tan eps))))) (* (cos x) (+ (tan x) (tan eps)))) (- 1 (* (tan x) (tan eps))))
1.0ms	x	@	inf	(+ (* (+ (* (* (sin x) (tan x)) (* 1/3 (* eps eps))) (* (cos x) (+ (* 1/3 (* eps eps)) 1))) eps) (* (* (sin x) (tan x)) eps))
1.0ms	x	@	-inf	(+ (* (+ (* (* (sin x) (tan x)) (* 1/3 (* eps eps))) (* (cos x) (+ (* 1/3 (* eps eps)) 1))) eps) (* (* (sin x) (tan x)) eps))
1.0ms	x	@	inf	(/ (+ (* (sin x) (neg (- 1 (* (tan x) (tan eps))))) (* (cos x) (+ (tan x) (tan eps)))) (- 1 (* (tan x) (tan eps))))

simplify338.0ms (2.2%)

Memory

38.4MiB live, 483.0MiB allocated

Algorithm

1×	egg-herbie

Rules

13 522×	`lower-fma.f64`
13 522×	`lower-fma.f32`
7 366×	`lower-*.f64`
7 366×	`lower-*.f32`
4 074×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	653	12194
1	2196	11468
2	7774	11450
0	8664	10967

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 567

Calls

Call 1

Inputs
(* eps (+ 1 (* 1/3 (pow eps 2))))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow x 2) (+ eps (* eps (+ (* -1/2 (+ 1 (* 1/3 (pow eps 2)))) (* 1/3 (pow eps 2)))))))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow x 2) (+ eps (+ (* eps (+ (* -1/2 (+ 1 (* 1/3 (pow eps 2)))) (* 1/3 (pow eps 2)))) (* (pow x 2) (+ (* 1/6 eps) (* eps (+ (* 1/24 (+ 1 (* 1/3 (pow eps 2)))) (* 1/18 (pow eps 2))))))))))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow x 2) (+ eps (+ (* eps (+ (* -1/2 (+ 1 (* 1/3 (pow eps 2)))) (* 1/3 (pow eps 2)))) (* (pow x 2) (+ (* 1/6 eps) (+ (* eps (+ (* 1/24 (+ 1 (* 1/3 (pow eps 2)))) (* 1/18 (pow eps 2)))) (* (pow x 2) (+ (* 31/360 eps) (* eps (+ (* -1/720 (+ 1 (* 1/3 (pow eps 2)))) (* 31/1080 (pow eps 2)))))))))))))
(+ (* eps (+ (* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))) (* (cos x) (+ 1 (* 1/3 (pow eps 2)))))) (/ (* eps (pow (sin x) 2)) (cos x)))
(+ (* eps (+ (* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))) (* (cos x) (+ 1 (* 1/3 (pow eps 2)))))) (/ (* eps (pow (sin x) 2)) (cos x)))
(+ (* eps (+ (* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))) (* (cos x) (+ 1 (* 1/3 (pow eps 2)))))) (/ (* eps (pow (sin x) 2)) (cos x)))
(+ (* eps (+ (* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))) (* (cos x) (+ 1 (* 1/3 (pow eps 2)))))) (/ (* eps (pow (sin x) 2)) (cos x)))
(+ (* eps (+ (* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))) (* (cos x) (+ 1 (* 1/3 (pow eps 2)))))) (/ (* eps (pow (sin x) 2)) (cos x)))
(+ (* eps (+ (* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))) (* (cos x) (+ 1 (* 1/3 (pow eps 2)))))) (/ (* eps (pow (sin x) 2)) (cos x)))
(+ (* eps (+ (* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))) (* (cos x) (+ 1 (* 1/3 (pow eps 2)))))) (/ (* eps (pow (sin x) 2)) (cos x)))
(+ (* eps (+ (* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))) (* (cos x) (+ 1 (* 1/3 (pow eps 2)))))) (/ (* eps (pow (sin x) 2)) (cos x)))
(* eps (+ (cos x) (/ (pow (sin x) 2) (cos x))))
(* eps (+ (cos x) (+ (* (pow eps 2) (+ (* 1/3 (cos x)) (* 1/3 (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))))
(* eps (+ (cos x) (+ (* (pow eps 2) (+ (* 1/3 (cos x)) (* 1/3 (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))))
(* eps (+ (cos x) (+ (* (pow eps 2) (+ (* 1/3 (cos x)) (* 1/3 (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))))
(* (pow eps 3) (+ (* 1/3 (cos x)) (* 1/3 (/ (pow (sin x) 2) (cos x)))))
(* (pow eps 3) (+ (* 1/3 (cos x)) (+ (* 1/3 (/ (pow (sin x) 2) (cos x))) (+ (/ (cos x) (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (cos x)))))))
(* (pow eps 3) (+ (* 1/3 (cos x)) (+ (* 1/3 (/ (pow (sin x) 2) (cos x))) (+ (/ (cos x) (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (cos x)))))))
(* (pow eps 3) (+ (* 1/3 (cos x)) (+ (* 1/3 (/ (pow (sin x) 2) (cos x))) (+ (/ (cos x) (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (cos x)))))))
(* (pow eps 3) (+ (* 1/3 (cos x)) (* 1/3 (/ (pow (sin x) 2) (cos x)))))
(* -1 (* (pow eps 3) (+ (* -1 (+ (* 1/3 (cos x)) (* 1/3 (/ (pow (sin x) 2) (cos x))))) (+ (* -1 (/ (cos x) (pow eps 2))) (* -1 (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))))
(* -1 (* (pow eps 3) (+ (* -1 (+ (* 1/3 (cos x)) (* 1/3 (/ (pow (sin x) 2) (cos x))))) (+ (* -1 (/ (cos x) (pow eps 2))) (* -1 (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))))
(* -1 (* (pow eps 3) (+ (* -1 (+ (* 1/3 (cos x)) (* 1/3 (/ (pow (sin x) 2) (cos x))))) (+ (* -1 (/ (cos x) (pow eps 2))) (* -1 (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))))
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (- (* x (- (/ (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 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps))) (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (sin eps) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/2 (/ (sin eps) (cos eps))))) (cos eps)))))) (/ (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)))
(/ (+ (* -1 (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (+ (* -1 (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (+ (* -1 (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (+ (* -1 (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (+ (* -1 (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (+ (* -1 (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (+ (* -1 (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (+ (* -1 (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (+ (sin x) (* -1 (sin x))) (cos x))
(+ (* -1 (/ (sin x) (cos x))) (+ (* eps (- (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* -1 (/ (* (sin x) (+ (sin x) (* -1 (sin x)))) (pow (cos x) 2))))) (/ (sin x) (cos x))))
(+ (* -1 (/ (sin x) (cos x))) (+ (* eps (- (+ 1 (+ (/ (* eps (* (sin x) (- (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* -1 (/ (* (sin x) (+ (sin x) (* -1 (sin x)))) (pow (cos x) 2)))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))) (* -1 (/ (* (sin x) (+ (sin x) (* -1 (sin x)))) (pow (cos x) 2))))) (/ (sin x) (cos x))))
(+ (* -1 (/ (sin x) (cos x))) (+ (* eps (- (+ 1 (+ (* eps (- (* eps (- (+ 1/3 (* 1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* -1 (/ (* (pow (sin x) 2) (- (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* -1 (/ (* (sin x) (+ (sin x) (* -1 (sin x)))) (pow (cos x) 2))))) (pow (cos x) 2))) (* -1/3 (/ (* (sin x) (+ (sin x) (* -1 (sin x)))) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* -1 (/ (* (sin x) (+ (sin x) (* -1 (sin x)))) (pow (cos x) 2))))) (cos x))))) (/ (pow (sin x) 2) (pow (cos x) 2)))) (* -1 (/ (* (sin x) (+ (sin x) (* -1 (sin x)))) (pow (cos x) 2))))) (/ (sin x) (cos x))))
(/ (+ (* -1 (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (+ (* -1 (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (+ (* -1 (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (+ (* -1 (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (+ (* -1 (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (+ (* -1 (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (+ (* -1 (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (+ (* -1 (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (sin eps) (cos eps))
(+ (* (pow x 2) (+ (* -1/2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (/ (sin eps) (cos eps)))
(+ (* (pow x 2) (+ (* -1/2 (/ (sin eps) (cos eps))) (+ (* (pow x 2) (+ (* -1 (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))) (* 1/24 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
(+ (* (pow x 2) (+ (* -1/2 (/ (sin eps) (cos eps))) (+ (* (pow x 2) (+ (* -1 (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))) (+ (* 1/24 (/ (sin eps) (cos eps))) (* (pow x 2) (+ (* -1 (+ (* -2/15 (/ (sin eps) (cos eps))) (+ (* -1/120 (/ (sin eps) (cos eps))) (* 1/18 (/ (sin eps) (cos eps)))))) (* -1/720 (/ (sin eps) (cos eps)))))))) (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
(+ (* -1 (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))))
(+ (* -1 (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))))
(+ (* -1 (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))))
(+ (* -1 (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))))
(+ (* -1 (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))))
(+ (* -1 (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))))
(+ (* -1 (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))))
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(+ (sin x) (+ (* -1 (sin x)) (* eps (+ (cos x) (/ (pow (sin x) 2) (cos x))))))
(+ (sin x) (+ (* -1 (sin x)) (* eps (+ (cos x) (+ (* (pow eps 2) (+ (* 1/3 (cos x)) (* 1/3 (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))))))
(+ (sin x) (+ (* -1 (sin x)) (* eps (+ (cos x) (+ (* (pow eps 2) (+ (* 1/3 (cos x)) (+ (* 1/3 (/ (pow (sin x) 2) (cos x))) (* (pow eps 2) (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))))))) (/ (pow (sin x) 2) (cos x)))))))
(+ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (- (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) 1)))
(+ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (- (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) 1)))
(+ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (- (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) 1)))
(+ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (- (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) 1)))
(+ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (- (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) 1)))
(+ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (- (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) 1)))
(+ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (- (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) 1)))
(+ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (- (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) 1)))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* eps (pow x 2))
(* (pow x 2) (+ eps (* 1/6 (* eps (pow x 2)))))
(* (pow x 2) (+ eps (* (pow x 2) (+ (* 31/360 (* eps (pow x 2))) (* 1/6 eps)))))
(* (pow x 2) (+ eps (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* 173/5040 (* eps (pow x 2))) (* 31/360 eps)))))))
(/ (* eps (pow (sin x) 2)) (cos x))
(/ (* eps (pow (sin x) 2)) (cos x))
(/ (* eps (pow (sin x) 2)) (cos x))
(/ (* eps (pow (sin x) 2)) (cos x))
(/ (* eps (pow (sin x) 2)) (cos x))
(/ (* eps (pow (sin x) 2)) (cos x))
(/ (* eps (pow (sin x) 2)) (cos x))
(/ (* eps (pow (sin x) 2)) (cos x))
(/ (* eps (pow (sin x) 2)) (cos x))
(/ (* eps (pow (sin x) 2)) (cos x))
(/ (* eps (pow (sin x) 2)) (cos x))
(/ (* eps (pow (sin x) 2)) (cos x))
(/ (* eps (pow (sin x) 2)) (cos x))
(/ (* eps (pow (sin x) 2)) (cos x))
(/ (* eps (pow (sin x) 2)) (cos x))
(/ (* eps (pow (sin x) 2)) (cos x))
(/ (* eps (pow (sin x) 2)) (cos x))
(/ (* eps (pow (sin x) 2)) (cos x))
(/ (* eps (pow (sin x) 2)) (cos x))
(/ (* eps (pow (sin x) 2)) (cos x))
2/3
(+ 2/3 (* 17/45 (pow x 2)))
(+ 2/3 (* 17/45 (pow x 2)))
(+ 2/3 (* 17/45 (pow x 2)))
(* 17/45 (pow x 2))
(* (pow x 2) (+ 17/45 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 17/45 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 17/45 (* 2/3 (/ 1 (pow x 2)))))
(* 17/45 (pow x 2))
(* (pow x 2) (+ 17/45 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 17/45 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 17/45 (* 2/3 (/ 1 (pow x 2)))))
(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))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (- eps (* -1 x)))
(cos (- eps (* -1 x)))
(cos (- eps (* -1 x)))
(cos (- eps (* -1 x)))
(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))))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (- x (* -1 eps)))
(cos (- x (* -1 eps)))
(cos (- x (* -1 eps)))
(cos (- x (* -1 eps)))
(/ (sin eps) (cos eps))
(+ x (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* -1/2 (/ (* x (sin eps)) (cos eps))))) (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* x (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/6 x))))) (/ (sin eps) (cos eps)))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(sin x)
(+ (sin x) (* eps (cos x)))
(+ (sin x) (* eps (+ (cos x) (* 1/3 (* (pow eps 2) (cos x))))))
(+ (sin x) (* eps (+ (cos x) (* (pow eps 2) (+ (* 2/15 (* (pow eps 2) (cos x))) (* 1/3 (cos x)))))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(/ (* x (sin eps)) (cos eps))
(* x (+ (* 1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps))))
(* x (+ (* (pow x 2) (+ (* 2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))))
(* x (+ (* (pow x 2) (+ (* 1/3 (/ (sin eps) (cos eps))) (* (pow x 2) (+ (* 17/315 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 2/15 (/ (sin eps) (cos eps))))))) (/ (sin eps) (cos eps))))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* eps (sin x)) (cos x))
(* eps (+ (* 1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x))))
(* eps (+ (* (pow eps 2) (+ (* 2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x))))
(* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 17/315 (/ (* (pow eps 2) (sin x)) (cos x))) (* 2/15 (/ (sin x) (cos x))))))) (/ (sin x) (cos x))))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))

Outputs
(* eps (+ 1 (* 1/3 (pow eps 2))))
(fma.f64 eps (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) eps)
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow x 2) (+ eps (* eps (+ (* -1/2 (+ 1 (* 1/3 (pow eps 2)))) (* 1/3 (pow eps 2)))))))
(fma.f64 (.f64 (fma.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/3 binary64)) (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal -1/2 binary64))) eps) x) x (fma.f64 eps (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) eps))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow x 2) (+ eps (+ (* eps (+ (* -1/2 (+ 1 (* 1/3 (pow eps 2)))) (* 1/3 (pow eps 2)))) (* (pow x 2) (+ (* 1/6 eps) (* eps (+ (* 1/24 (+ 1 (* 1/3 (pow eps 2)))) (* 1/18 (pow eps 2))))))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 eps (.f64 eps #s(literal 1/18 binary64)) (fma.f64 (.f64 eps eps) #s(literal 1/72 binary64) #s(literal 1/24 binary64))))) (fma.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/3 binary64)) (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal -1/2 binary64))) eps)) (fma.f64 eps (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) eps))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow x 2) (+ eps (+ (* eps (+ (* -1/2 (+ 1 (* 1/3 (pow eps 2)))) (* 1/3 (pow eps 2)))) (* (pow x 2) (+ (* 1/6 eps) (+ (* eps (+ (* 1/24 (+ 1 (* 1/3 (pow eps 2)))) (* 1/18 (pow eps 2)))) (* (pow x 2) (+ (* 31/360 eps) (* eps (+ (* -1/720 (+ 1 (* 1/3 (pow eps 2)))) (* 31/1080 (pow eps 2)))))))))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (.f64 eps (+.f64 #s(literal 31/360 binary64) (fma.f64 eps (.f64 eps #s(literal 31/1080 binary64)) (fma.f64 (.f64 eps eps) #s(literal -1/2160 binary64) #s(literal -1/720 binary64)))))) (.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 eps (.f64 eps #s(literal 1/18 binary64)) (fma.f64 (.f64 eps eps) #s(literal 1/72 binary64) #s(literal 1/24 binary64)))))) (fma.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/3 binary64)) (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal -1/2 binary64))) eps)) (fma.f64 eps (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) eps))
(+ (* eps (+ (* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))) (* (cos x) (+ 1 (* 1/3 (pow eps 2)))))) (/ (* eps (pow (sin x) 2)) (cos x)))
(.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (.f64 eps (.f64 eps (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)))))
(+ (* eps (+ (* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))) (* (cos x) (+ 1 (* 1/3 (pow eps 2)))))) (/ (* eps (pow (sin x) 2)) (cos x)))
(.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (.f64 eps (.f64 eps (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)))))
(+ (* eps (+ (* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))) (* (cos x) (+ 1 (* 1/3 (pow eps 2)))))) (/ (* eps (pow (sin x) 2)) (cos x)))
(.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (.f64 eps (.f64 eps (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)))))
(+ (* eps (+ (* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))) (* (cos x) (+ 1 (* 1/3 (pow eps 2)))))) (/ (* eps (pow (sin x) 2)) (cos x)))
(.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (.f64 eps (.f64 eps (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)))))
(+ (* eps (+ (* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))) (* (cos x) (+ 1 (* 1/3 (pow eps 2)))))) (/ (* eps (pow (sin x) 2)) (cos x)))
(.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (.f64 eps (.f64 eps (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)))))
(+ (* eps (+ (* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))) (* (cos x) (+ 1 (* 1/3 (pow eps 2)))))) (/ (* eps (pow (sin x) 2)) (cos x)))
(.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (.f64 eps (.f64 eps (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)))))
(+ (* eps (+ (* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))) (* (cos x) (+ 1 (* 1/3 (pow eps 2)))))) (/ (* eps (pow (sin x) 2)) (cos x)))
(.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (.f64 eps (.f64 eps (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)))))
(+ (* eps (+ (* 1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))) (* (cos x) (+ 1 (* 1/3 (pow eps 2)))))) (/ (* eps (pow (sin x) 2)) (cos x)))
(.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (.f64 eps (.f64 eps (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)))))
(* eps (+ (cos x) (/ (pow (sin x) 2) (cos x))))
(*.f64 eps (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))
(* eps (+ (cos x) (+ (* (pow eps 2) (+ (* 1/3 (cos x)) (* 1/3 (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))))
(.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (.f64 eps (.f64 eps (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)))))
(* eps (+ (cos x) (+ (* (pow eps 2) (+ (* 1/3 (cos x)) (* 1/3 (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))))
(.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (.f64 eps (.f64 eps (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)))))
(* eps (+ (cos x) (+ (* (pow eps 2) (+ (* 1/3 (cos x)) (* 1/3 (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))))
(.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (.f64 eps (.f64 eps (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)))))
(* (pow eps 3) (+ (* 1/3 (cos x)) (* 1/3 (/ (pow (sin x) 2) (cos x)))))
(.f64 (.f64 eps (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))
(* (pow eps 3) (+ (* 1/3 (cos x)) (+ (* 1/3 (/ (pow (sin x) 2) (cos x))) (+ (/ (cos x) (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (cos x)))))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (fma.f64 #s(literal 1/3 binary64) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (/.f64 (cos.f64 x) (.f64 eps eps))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 eps (.f64 eps (cos.f64 x))))))
(* (pow eps 3) (+ (* 1/3 (cos x)) (+ (* 1/3 (/ (pow (sin x) 2) (cos x))) (+ (/ (cos x) (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (cos x)))))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (fma.f64 #s(literal 1/3 binary64) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (/.f64 (cos.f64 x) (.f64 eps eps))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 eps (.f64 eps (cos.f64 x))))))
(* (pow eps 3) (+ (* 1/3 (cos x)) (+ (* 1/3 (/ (pow (sin x) 2) (cos x))) (+ (/ (cos x) (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (cos x)))))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (fma.f64 #s(literal 1/3 binary64) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (/.f64 (cos.f64 x) (.f64 eps eps))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 eps (.f64 eps (cos.f64 x))))))
(* (pow eps 3) (+ (* 1/3 (cos x)) (* 1/3 (/ (pow (sin x) 2) (cos x)))))
(.f64 (.f64 eps (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))
(* -1 (* (pow eps 3) (+ (* -1 (+ (* 1/3 (cos x)) (* 1/3 (/ (pow (sin x) 2) (cos x))))) (+ (* -1 (/ (cos x) (pow eps 2))) (* -1 (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))))
(neg.f64 (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (fma.f64 #s(literal -1/3 binary64) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (/.f64 (cos.f64 x) (neg.f64 (.f64 eps eps)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 eps (.f64 eps (cos.f64 x)))))))
(* -1 (* (pow eps 3) (+ (* -1 (+ (* 1/3 (cos x)) (* 1/3 (/ (pow (sin x) 2) (cos x))))) (+ (* -1 (/ (cos x) (pow eps 2))) (* -1 (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))))
(neg.f64 (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (fma.f64 #s(literal -1/3 binary64) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (/.f64 (cos.f64 x) (neg.f64 (.f64 eps eps)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 eps (.f64 eps (cos.f64 x)))))))
(* -1 (* (pow eps 3) (+ (* -1 (+ (* 1/3 (cos x)) (* 1/3 (/ (pow (sin x) 2) (cos x))))) (+ (* -1 (/ (cos x) (pow eps 2))) (* -1 (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))))
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(/ (sin eps) (cos eps))
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(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
(* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
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(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
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(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
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(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
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(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
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(* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
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(* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
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(* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
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eps
(+ eps (* eps (pow x 2)))
(fma.f64 eps (*.f64 x x) eps)
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (* -1/3 eps) (* -1 eps))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (*.f64 eps #s(literal 2/3 binary64)) eps) eps)
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(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
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(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
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eps
(+ eps (* eps (pow x 2)))
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(+ eps (* eps (pow x 2)))
(fma.f64 eps (*.f64 x x) eps)
(+ eps (* eps (pow x 2)))
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(* eps (pow x 2))
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(* (pow x 2) (+ eps (/ eps (pow x 2))))
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(* eps (pow x 2))
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(* (pow x 2) (+ eps (/ eps (pow x 2))))
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(* (pow x 2) (+ eps (/ eps (pow x 2))))
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(* eps (+ 1 (pow x 2)))
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(* eps (+ 1 (pow x 2)))
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(* eps (+ 1 (pow x 2)))
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(* eps (+ 1 (pow x 2)))
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(* eps (+ 1 (pow x 2)))
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(* eps (+ 1 (pow x 2)))
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(* -1 (* eps (- (* -1 (pow x 2)) 1)))
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(* -1 (* eps (- (* -1 (pow x 2)) 1)))
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(* -1 (* eps (- (* -1 (pow x 2)) 1)))
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(* -1 (* eps (- (* -1 (pow x 2)) 1)))
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(* eps (pow x 2))
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(* eps (pow x 2))
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(* eps (pow x 2))
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(* eps (pow x 2))
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(* eps (pow x 2))
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(* eps (pow x 2))
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(* eps (pow x 2))
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(* eps (pow x 2))
(.f64 eps (.f64 x x))
(/ (sin eps) (cos eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
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(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
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(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
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(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
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(* eps (+ 1 (/ (pow (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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x
(+ eps x)
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eps
(* eps (+ 1 (/ x eps)))
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(* eps (+ 1 (/ x eps)))
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eps
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(* -1 (* eps (- (* -1 (/ x eps)) 1)))
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eps
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(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))
(/ (* x (sin eps)) (cos eps))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(* x (+ (* 1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps))))
(.f64 x (fma.f64 (.f64 x x) (/.f64 (*.f64 #s(literal 1/3 binary64) (sin.f64 eps)) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(* x (+ (* (pow x 2) (+ (* 2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 #s(literal 2/15 binary64) (.f64 x x)) (/.f64 (*.f64 #s(literal 1/3 binary64) (sin.f64 eps)) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(* x (+ (* (pow x 2) (+ (* 1/3 (/ (sin eps) (cos eps))) (* (pow x 2) (+ (* 17/315 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 2/15 (/ (sin eps) (cos eps))))))) (/ (sin eps) (cos eps))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 17/315 binary64) (.f64 x x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (.f64 (sin.f64 eps) #s(literal 2/15 binary64)) (cos.f64 eps))) (/.f64 (*.f64 #s(literal 1/3 binary64) (sin.f64 eps)) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps)))
(/ (* eps (sin x)) (cos x))
(/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))
(* eps (+ (* 1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x))))
(.f64 eps (fma.f64 (.f64 eps eps) (/.f64 (*.f64 #s(literal 1/3 binary64) (sin.f64 x)) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))))
(* eps (+ (* (pow eps 2) (+ (* 2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x))))
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 (.f64 eps eps) #s(literal 2/15 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) (sin.f64 x)) (cos.f64 x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 17/315 (/ (* (pow eps 2) (sin x)) (cos x))) (* 2/15 (/ (sin x) (cos x))))))) (/ (sin x) (cos x))))
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2/15 binary64) (/.f64 (.f64 (.f64 eps (.f64 eps (sin.f64 x))) #s(literal 17/315 binary64)) (cos.f64 x))) (/.f64 (*.f64 #s(literal 1/3 binary64) (sin.f64 x)) (cos.f64 x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps)))

rewrite362.0ms (2.3%)

Memory

-8.9MiB live, 593.9MiB allocated

Rules

7 666×	`lower-*.f32`
7 644×	`lower-*.f64`
6 908×	`lower-fma.f32`
6 890×	`lower-fma.f64`
3 744×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	571
0	118	568
1	485	533
2	3784	525
0	10631	503

Stop Event

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

Counts

26 → 405

Calls

Call 1

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

Outputs
(+.f64 (.f64 (sin.f64 x) (.f64 (tan.f64 x) eps)) (.f64 eps (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (tan.f64 x) (.f64 (sin.f64 x) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)))))))
(+.f64 (.f64 eps (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (tan.f64 x) (.f64 (sin.f64 x) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)))))) (.f64 (sin.f64 x) (.f64 (tan.f64 x) eps)))
(-.f64 (/.f64 (pow.f64 (.f64 eps (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (tan.f64 x) (.f64 (sin.f64 x) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)))))) #s(literal 2 binary64)) (.f64 eps (-.f64 (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (tan.f64 x) (.f64 (sin.f64 x) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))))) (.f64 (sin.f64 x) (tan.f64 x))))) (/.f64 (pow.f64 (.f64 (sin.f64 x) (.f64 (tan.f64 x) eps)) #s(literal 2 binary64)) (.f64 eps (-.f64 (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (tan.f64 x) (.f64 (sin.f64 x) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))))) (.f64 (sin.f64 x) (tan.f64 x))))))
(fma.f64 (sin.f64 x) (.f64 (tan.f64 x) eps) (.f64 eps (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (tan.f64 x) (.f64 (sin.f64 x) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))))))
(fma.f64 (tan.f64 x) (.f64 (sin.f64 x) eps) (.f64 eps (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (tan.f64 x) (.f64 (sin.f64 x) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))))))
(fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) eps (.f64 eps (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (tan.f64 x) (.f64 (sin.f64 x) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))))))
(fma.f64 eps (.f64 (sin.f64 x) (tan.f64 x)) (.f64 eps (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (tan.f64 x) (.f64 (sin.f64 x) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))))))
(fma.f64 eps (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (tan.f64 x) (.f64 (sin.f64 x) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))))) (.f64 (sin.f64 x) (*.f64 (tan.f64 x) eps)))
(fma.f64 (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (tan.f64 x) (.f64 (sin.f64 x) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))))) eps (.f64 (sin.f64 x) (*.f64 (tan.f64 x) eps)))
(fma.f64 (.f64 (tan.f64 x) eps) (sin.f64 x) (.f64 eps (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (tan.f64 x) (.f64 (sin.f64 x) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))))))
(fma.f64 (.f64 eps (sin.f64 x)) (tan.f64 x) (.f64 eps (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (tan.f64 x) (.f64 (sin.f64 x) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (sin.f64 x) (.f64 (tan.f64 x) eps)) (-.f64 (.f64 (sin.f64 x) (.f64 (tan.f64 x) eps)) (.f64 eps (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (tan.f64 x) (.f64 (sin.f64 x) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))))))) (pow.f64 (.f64 eps (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (tan.f64 x) (.f64 (sin.f64 x) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)))))) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 eps (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (tan.f64 x) (.f64 (sin.f64 x) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)))))) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) (.f64 (tan.f64 x) eps)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 eps (-.f64 (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (tan.f64 x) (.f64 (sin.f64 x) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))))) (.f64 (sin.f64 x) (tan.f64 x)))) (-.f64 (pow.f64 (.f64 eps (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (tan.f64 x) (.f64 (sin.f64 x) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)))))) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 x) (*.f64 (tan.f64 x) eps)) #s(literal 2 binary64)))))
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(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) #s(literal 3 binary64)) (pow.f64 #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps eps)) eps) (sin.f64 x))) #s(literal 3 binary64))) (fma.f64 #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps eps)) eps) (sin.f64 x))) (-.f64 #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps eps)) eps) (sin.f64 x))) (.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))))) (pow.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) #s(literal 3 binary64)) (pow.f64 #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps eps)) eps) (sin.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps eps)) eps) (sin.f64 x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) #s(literal 2 binary64)) (.f64 #s(approx ( (cos x) (+ (tan x) (tan eps))) (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps eps)) eps) (sin.f64 x))) (.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))))))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) #s(literal 2 binary64)) (pow.f64 #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps eps)) eps) (sin.f64 x))) #s(literal 2 binary64))) (-.f64 (.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps eps)) eps) (sin.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) #s(literal 3 binary64)) (pow.f64 #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps eps)) eps) (sin.f64 x))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps eps)) eps) (sin.f64 x))) (-.f64 #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps eps)) eps) (sin.f64 x))) (.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))))) (pow.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) #s(literal 2 binary64)) (pow.f64 #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps eps)) eps) (sin.f64 x))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps eps)) eps) (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps eps)) eps) (sin.f64 x))) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) #s(literal 2 binary64))) (-.f64 #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps eps)) eps) (sin.f64 x))) (.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))))))
(pow.f64 (/.f64 (fma.f64 #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps eps)) eps) (sin.f64 x))) (-.f64 #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps eps)) eps) (sin.f64 x))) (.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))))) (pow.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) #s(literal 3 binary64)) (pow.f64 #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps eps)) eps) (sin.f64 x))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps eps)) eps) (sin.f64 x)))) (-.f64 (pow.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) #s(literal 2 binary64)) (pow.f64 #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps eps)) eps) (sin.f64 x))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) #s(literal 3 binary64)) (pow.f64 #s(approx ( (cos x) (+ (tan x) (tan eps))) (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps eps)) eps) (sin.f64 x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps eps)) eps) (sin.f64 x))) (-.f64 #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps eps)) eps) (sin.f64 x))) (.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))))) (pow.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) #s(literal 2 binary64)))))
(.f64 (-.f64 (pow.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) #s(literal 2 binary64)) (pow.f64 #s(approx ( (cos x) (+ (tan x) (tan eps))) (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps eps)) eps) (sin.f64 x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) #s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps eps)) eps) (sin.f64 x))))))
(.f64 #s(literal 1/3 binary64) (.f64 eps eps))
(.f64 eps (.f64 #s(literal 1/3 binary64) eps))
(.f64 (.f64 eps eps) #s(literal 1/3 binary64))
(.f64 (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))
(.f64 (.f64 #s(literal 1/3 binary64) eps) eps)
(.f64 (sin.f64 x) (.f64 (tan.f64 x) eps))
(.f64 (tan.f64 x) (.f64 (sin.f64 x) eps))
(.f64 (.f64 (sin.f64 x) (tan.f64 x)) eps)
(.f64 eps (.f64 (sin.f64 x) (tan.f64 x)))
(.f64 (.f64 (tan.f64 x) eps) (sin.f64 x))
(.f64 (.f64 eps (sin.f64 x)) (tan.f64 x))
(+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 17/45 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 17/45 binary64)) #s(literal 2/3 binary64))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/2025 binary64)) (fma.f64 x (.f64 x #s(literal 17/45 binary64)) #s(literal -2/3 binary64))) (/.f64 #s(literal 4/9 binary64) (fma.f64 x (.f64 x #s(literal 17/45 binary64)) #s(literal -2/3 binary64))))
(fma.f64 x (*.f64 x #s(literal 17/45 binary64)) #s(literal 2/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64))
(fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(fma.f64 (*.f64 x #s(literal 17/45 binary64)) x #s(literal 2/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/2025 binary64) (-.f64 #s(literal 4/9 binary64) (.f64 (.f64 x x) #s(literal 34/135 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 4913/91125 binary64)) #s(literal 8/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 17/45 binary64)) #s(literal -2/3 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/2025 binary64) #s(literal -4/9 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 4913/91125 binary64)) #s(literal 8/27 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/2025 binary64) (-.f64 #s(literal 4/9 binary64) (.f64 (.f64 x x) #s(literal 34/135 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 4913/91125 binary64)) #s(literal 8/27 binary64)) (+.f64 #s(literal 4/9 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/2025 binary64)) (.f64 (*.f64 x x) #s(literal 34/135 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/2025 binary64) #s(literal -4/9 binary64)) (fma.f64 x (.f64 x #s(literal 17/45 binary64)) #s(literal -2/3 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 4913/91125 binary64)) #s(literal 8/27 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/2025 binary64) (-.f64 #s(literal 4/9 binary64) (.f64 (.f64 x x) #s(literal 34/135 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/2025 binary64) #s(literal -4/9 binary64))) (neg.f64 (fma.f64 x (.f64 x #s(literal 17/45 binary64)) #s(literal -2/3 binary64))))
(/.f64 (-.f64 #s(literal 4/9 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/2025 binary64))) (-.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 17/45 binary64))))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/2025 binary64) (-.f64 #s(literal 4/9 binary64) (.f64 (.f64 x x) #s(literal 34/135 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 4913/91125 binary64)) #s(literal 8/27 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 17/45 binary64)) #s(literal -2/3 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/2025 binary64) #s(literal -4/9 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 4913/91125 binary64)) #s(literal 8/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/2025 binary64) (-.f64 #s(literal 4/9 binary64) (.f64 (*.f64 x x) #s(literal 34/135 binary64))))))
(.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/2025 binary64) #s(literal -4/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 17/45 binary64)) #s(literal -2/3 binary64))))
(cos.f64 #s(approx (+ x eps) (fma.f64 x #s(literal 1 binary64) eps)))
#s(approx (* (cos x) (+ (tan x) (tan eps))) (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps eps)) eps) (sin.f64 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 eps)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 eps) (tan.f64 x)) (cos.f64 eps))
(*.f64 (tan.f64 x) (tan.f64 eps))
(.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (tan.f64 eps) (tan.f64 x))
(.f64 (.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1 binary64) (tan.f64 x)) (tan.f64 eps))
(.f64 (.f64 #s(literal 1 binary64) (tan.f64 eps)) (tan.f64 x))

eval173.0ms (1.1%)

Memory: 17.2MiB live, 262.3MiB allocated
Compiler: Compiled 38 027 to 2 119 computations (94.4% saved)

prune142.0ms (0.9%)

Memory

-12.5MiB live, 229.9MiB allocated

Pruning

31 alts after pruning (23 fresh and 8 done)

	Pruned	Kept	Total
New	1 037	7	1 044
Fresh	3	16	19
Picked	2	3	5
Done	1	5	6
Total	1 043	31	1 074

Accuracy

100.0%

Counts

1 074 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.1%	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
	62.8%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
	63.0%	(/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (.f64 (sin.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))
	62.5%	(/.f64 (fma.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) #s(approx ( (cos x) (+ (tan x) (tan eps))) (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps eps)) eps) (sin.f64 x)))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))
	62.5%	(/.f64 (/.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x) #s(approx ( (cos x) (+ (tan x) (tan eps))) (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps eps)) eps) (sin.f64 x)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
	99.0%	(/.f64 (+.f64 (fma.f64 (sin.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) (.f64 (cos.f64 x) (tan.f64 x))) (.f64 (cos.f64 x) (tan.f64 eps))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
	99.3%	(/.f64 #s(approx (+ (* (neg (sin x)) (- 1 (* (tan x) (tan eps)))) (* (cos x) (+ (tan x) (tan eps)))) (fma.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) eps (.f64 (.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
	99.0%	(/.f64 #s(approx (+ (* (neg (sin x)) (- 1 (* (tan x) (tan eps)))) (* (cos x) (+ (tan x) (tan eps)))) (fma.f64 #s(approx (+ (* (* (sin x) (tan x)) (* 1/3 (* eps eps))) (* (cos x) (+ (* 1/3 (* eps eps)) 1))) (cos.f64 x)) eps (.f64 (.f64 (sin.f64 x) (tan.f64 x)) eps))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))
	98.0%	(/.f64 #s(approx (+ (* (neg (sin x)) (- 1 (* (tan x) (tan eps)))) (* (cos x) (+ (tan x) (tan eps)))) (fma.f64 eps #s(approx (+ (/ (pow (sin x) 2) (cos x)) (+ (* (+ (* 1/3 (* eps eps)) 1) (cos x)) (* (/ (pow (sin x) 2) (cos x)) (* 1/3 (* eps eps))))) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 eps eps) #s(literal 1/18 binary64) (+.f64 #s(literal 5/24 binary64) (.f64 #s(literal 1/72 binary64) (.f64 eps eps)))) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))) #s(literal 1 binary64)))) #s(literal 0 binary64))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
	99.3%	(/.f64 #s(approx (+ (* (neg (sin x)) (- 1 (* (tan x) (tan eps)))) (* (cos x) (+ (tan x) (tan eps)))) (.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64))))) eps)) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))
	63.1%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
	21.1%	(-.f64 (/.f64 (sin.f64 (/.f64 (fma.f64 eps (.f64 eps eps) (.f64 x (.f64 x x))) (fma.f64 eps eps (-.f64 (.f64 x x) (*.f64 eps x))))) (cos.f64 (+.f64 x eps))) (tan.f64 x))
✓	62.8%	(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
✓	62.8%	(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 #s(approx (+ x eps) (fma.f64 eps (/.f64 x eps) eps)))) (tan.f64 x))
✓	33.8%	(-.f64 (/.f64 (sin.f64 (.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))) (cos.f64 (+.f64 x eps))) (tan.f64 x))
	62.2%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) (tan.f64 x))
✓	62.8%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	98.5%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
✓	97.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) #s(literal 1 binary64)))) eps))
	97.8%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 17/45) 2/3) #s(literal 2/3 binary64)) #s(literal 1 binary64)))) eps))
✓	97.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64))) #s(literal 1 binary64)))) eps))
	97.3%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6) (/ (sin x) (cos x))))) (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 (.f64 x eps) (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64))))) eps))
	97.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6) (/ (sin x) (cos x))))) (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 x (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps (.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) eps))))) eps))
	97.5%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6) (/ (sin x) (cos x))))) (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps))
	48.1%	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (-.f64 (.f64 eps eps) (.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64))) #s(literal 1 binary64))))) (.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64))) #s(literal 1 binary64))))) (.f64 eps eps)))) (-.f64 eps (.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64))) #s(literal 1 binary64)))))))))
	97.8%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64))) #s(literal 1 binary64))))) #s(literal 1 binary64)) eps))
✓	97.8%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) (fma.f64 x (*.f64 x eps) eps)))
	97.8%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) (*.f64 (fma.f64 x x #s(literal 1 binary64)) eps)))
	48.5%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) #s(approx (+ (* x (* x eps)) eps) (.f64 (.f64 x x) (+.f64 eps (/.f64 eps (*.f64 x x)))))))
	6.4%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) #s(approx (+ (* x (* x eps)) eps) (.f64 (.f64 x eps) x))))
✓	6.4%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) #s(approx (+ (* x (* x eps)) eps) (.f64 eps (.f64 x x)))))

Compiler

Compiled 2 477 to 676 computations (72.7% saved)

regimes52.0ms (0.3%)

Memory

-10.0MiB live, 69.4MiB allocated

Counts

61 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) #s(approx (+ (* x (* x eps)) eps) (.f64 eps (.f64 x x)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) #s(approx (+ (* x (* x eps)) eps) (.f64 (.f64 x eps) x))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) (*.f64 (fma.f64 x x #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) (fma.f64 x (*.f64 x eps) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (*.f64 x x)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6) (/ (sin x) (cos x))))) (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 x #s(approx (* x (+ (* (* x x) (+ (* (* x x) 62/315) 17/45)) 2/3)) (*.f64 x #s(literal 2/3 binary64))) #s(literal 1 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 17/45) 2/3) #s(literal 2/3 binary64)) #s(literal 1 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) #s(approx (+ (* x (* x eps)) eps) (.f64 (.f64 x x) (+.f64 eps (/.f64 eps (*.f64 x x)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6) (/ (sin x) (cos x))))) (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 (.f64 x eps) (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) #s(literal 1 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) #s(literal 1 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64))) #s(literal 1 binary64))))) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64))) #s(literal 1 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6) (/ (sin x) (cos x))))) (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 x (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps (.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) eps))))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/3 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (-.f64 (.f64 eps eps) (.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64))) #s(literal 1 binary64))))) (.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64))) #s(literal 1 binary64))))) (.f64 eps eps)))) (-.f64 eps (.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64))) #s(literal 1 binary64)))))))))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x)))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (-.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64))) #s(literal 2/3 binary64)) #s(literal 1 binary64)))) #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64))) #s(literal 2/3 binary64)) #s(literal 1 binary64))))))) (-.f64 eps (.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64))) #s(literal 2/3 binary64)) #s(literal 1 binary64))))))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 x eps)))
(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 #s(approx (+ x eps) (fma.f64 eps (/.f64 x eps) eps)))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (/.f64 (fma.f64 eps (.f64 eps eps) (.f64 x (.f64 x x))) (fma.f64 eps eps (-.f64 (.f64 x x) (*.f64 eps x))))) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(/.f64 #s(approx (+ (* (neg (sin x)) (- 1 (* (tan x) (tan eps)))) (* (cos x) (+ (tan x) (tan eps)))) (fma.f64 eps #s(approx (+ (/ (pow (sin x) 2) (cos x)) (+ (* (+ (* 1/3 (* eps eps)) 1) (cos x)) (* (/ (pow (sin x) 2) (cos x)) (* 1/3 (* eps eps))))) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 eps eps) #s(literal 1/18 binary64) (+.f64 #s(literal 5/24 binary64) (.f64 #s(literal 1/72 binary64) (.f64 eps eps)))) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))) #s(literal 1 binary64)))) #s(literal 0 binary64))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (fma.f64 (.f64 eps eps) (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (.f64 (neg.f64 eps) eps)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(/.f64 #s(approx (+ (* (neg (sin x)) (- 1 (* (tan x) (tan eps)))) (* (cos x) (+ (tan x) (tan eps)))) (fma.f64 #s(approx (+ (* (* (sin x) (tan x)) (* 1/3 (* eps eps))) (* (cos x) (+ (* 1/3 (* eps eps)) 1))) (cos.f64 x)) eps (.f64 (.f64 (sin.f64 x) (tan.f64 x)) eps))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 #s(approx (+ (* (neg (sin x)) (- 1 (* (tan x) (tan eps)))) (* (cos x) (+ (tan x) (tan eps)))) #s(approx (+ (* eps (+ (/ (pow (sin x) 2) (cos x)) (+ (* (+ (* 1/3 (* eps eps)) 1) (cos x)) (* (/ (pow (sin x) 2) (cos x)) (* 1/3 (* eps eps)))))) 0) (.f64 eps (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 #s(approx (+ (* (neg (sin x)) (- 1 (* (tan x) (tan eps)))) (* (cos x) (+ (tan x) (tan eps)))) (fma.f64 eps (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) #s(literal 0 binary64))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (fma.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) #s(approx ( (cos x) (+ (tan x) (tan eps))) (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps eps)) eps) (sin.f64 x)))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) #s(approx ( (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x)))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (/.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x) #s(approx ( (cos x) (+ (tan x) (tan eps))) (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps eps)) eps) (sin.f64 x)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
(/.f64 (/.f64 (fma.f64 (sin.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) #s(approx ( (cos x) (+ (tan x) (tan eps))) (fma.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64))) (sin.f64 x)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
(/.f64 #s(approx (+ (* (neg (sin x)) (- 1 (* (tan x) (tan eps)))) (* (cos x) (+ (tan x) (tan eps)))) (.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64))))) eps)) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 #s(approx (+ (* (neg (sin x)) (- 1 (* (tan x) (tan eps)))) (* (cos x) (+ (tan x) (tan eps)))) (fma.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) eps (.f64 (.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 #s(approx (+ (* (neg (sin x)) (- 1 (* (tan x) (tan eps)))) (* (cos x) (+ (tan x) (tan eps)))) (fma.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) eps (.f64 (.f64 (sin.f64 x) (tan.f64 x)) eps))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (sin.f64 x)))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (.f64 (sin.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6) (/ (sin x) (cos x))))) (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))) (fma.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps))
(fma.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (sin.f64 (+.f64 (+.f64 x eps) x))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 3 binary64)))) (fma.f64 (.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (tan.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps))
(/.f64 (+.f64 (fma.f64 (sin.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) (.f64 (cos.f64 x) (tan.f64 x))) (.f64 (cos.f64 x) (tan.f64 eps))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 #s(approx (+ (* (neg (sin x)) (- 1 (* (tan x) (tan eps)))) (* (cos x) (+ (tan x) (tan eps)))) (fma.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x) (.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))))) #s(literal 0 binary64))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 x (fma.f64 (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 x (cos.f64 eps)) (/.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))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (.f64 (+.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) #s(literal -1/6 binary64)) (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) #s(literal -1/6 binary64))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (/.f64 (.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 (+.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) #s(literal -1/6 binary64)) (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) #s(literal -1/6 binary64))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps))

Outputs

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

Calls

3 calls:

17.0ms	eps
15.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
15.0ms	x

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`eps`
99.4%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes39.0ms (0.3%)

Memory

18.9MiB live, 57.8MiB allocated

Counts

47 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) #s(approx (+ (* x (* x eps)) eps) (.f64 eps (.f64 x x)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) #s(approx (+ (* x (* x eps)) eps) (.f64 (.f64 x eps) x))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) (*.f64 (fma.f64 x x #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) (fma.f64 x (*.f64 x eps) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (*.f64 x x)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6) (/ (sin x) (cos x))))) (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 x #s(approx (* x (+ (* (* x x) (+ (* (* x x) 62/315) 17/45)) 2/3)) (*.f64 x #s(literal 2/3 binary64))) #s(literal 1 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 17/45) 2/3) #s(literal 2/3 binary64)) #s(literal 1 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) #s(approx (+ (* x (* x eps)) eps) (.f64 (.f64 x x) (+.f64 eps (/.f64 eps (*.f64 x x)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6) (/ (sin x) (cos x))))) (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 (.f64 x eps) (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) #s(literal 1 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) #s(literal 1 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64))) #s(literal 1 binary64))))) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64))) #s(literal 1 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6) (/ (sin x) (cos x))))) (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 x (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps (.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) eps))))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/3 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (-.f64 (.f64 eps eps) (.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64))) #s(literal 1 binary64))))) (.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64))) #s(literal 1 binary64))))) (.f64 eps eps)))) (-.f64 eps (.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64))) #s(literal 1 binary64)))))))))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x)))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (-.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64))) #s(literal 2/3 binary64)) #s(literal 1 binary64)))) #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64))) #s(literal 2/3 binary64)) #s(literal 1 binary64))))))) (-.f64 eps (.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64))) #s(literal 2/3 binary64)) #s(literal 1 binary64))))))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 x eps)))
(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 #s(approx (+ x eps) (fma.f64 eps (/.f64 x eps) eps)))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (/.f64 (fma.f64 eps (.f64 eps eps) (.f64 x (.f64 x x))) (fma.f64 eps eps (-.f64 (.f64 x x) (*.f64 eps x))))) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(/.f64 #s(approx (+ (* (neg (sin x)) (- 1 (* (tan x) (tan eps)))) (* (cos x) (+ (tan x) (tan eps)))) (fma.f64 eps #s(approx (+ (/ (pow (sin x) 2) (cos x)) (+ (* (+ (* 1/3 (* eps eps)) 1) (cos x)) (* (/ (pow (sin x) 2) (cos x)) (* 1/3 (* eps eps))))) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 eps eps) #s(literal 1/18 binary64) (+.f64 #s(literal 5/24 binary64) (.f64 #s(literal 1/72 binary64) (.f64 eps eps)))) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))) #s(literal 1 binary64)))) #s(literal 0 binary64))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (fma.f64 (.f64 eps eps) (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (.f64 (neg.f64 eps) eps)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(/.f64 #s(approx (+ (* (neg (sin x)) (- 1 (* (tan x) (tan eps)))) (* (cos x) (+ (tan x) (tan eps)))) (fma.f64 #s(approx (+ (* (* (sin x) (tan x)) (* 1/3 (* eps eps))) (* (cos x) (+ (* 1/3 (* eps eps)) 1))) (cos.f64 x)) eps (.f64 (.f64 (sin.f64 x) (tan.f64 x)) eps))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 #s(approx (+ (* (neg (sin x)) (- 1 (* (tan x) (tan eps)))) (* (cos x) (+ (tan x) (tan eps)))) #s(approx (+ (* eps (+ (/ (pow (sin x) 2) (cos x)) (+ (* (+ (* 1/3 (* eps eps)) 1) (cos x)) (* (/ (pow (sin x) 2) (cos x)) (* 1/3 (* eps eps)))))) 0) (.f64 eps (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 #s(approx (+ (* (neg (sin x)) (- 1 (* (tan x) (tan eps)))) (* (cos x) (+ (tan x) (tan eps)))) (fma.f64 eps (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) #s(literal 0 binary64))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (fma.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) #s(approx ( (cos x) (+ (tan x) (tan eps))) (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps eps)) eps) (sin.f64 x)))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) #s(approx ( (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x)))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (/.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x) #s(approx ( (cos x) (+ (tan x) (tan eps))) (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps eps)) eps) (sin.f64 x)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
(/.f64 (/.f64 (fma.f64 (sin.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) #s(approx ( (cos x) (+ (tan x) (tan eps))) (fma.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64))) (sin.f64 x)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
(/.f64 #s(approx (+ (* (neg (sin x)) (- 1 (* (tan x) (tan eps)))) (* (cos x) (+ (tan x) (tan eps)))) (.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64))))) eps)) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 #s(approx (+ (* (neg (sin x)) (- 1 (* (tan x) (tan eps)))) (* (cos x) (+ (tan x) (tan eps)))) (fma.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) eps (.f64 (.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))

Outputs

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes42.0ms (0.3%)

Memory

-11.0MiB live, 68.5MiB allocated

Counts

46 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) #s(approx (+ (* x (* x eps)) eps) (.f64 eps (.f64 x x)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) #s(approx (+ (* x (* x eps)) eps) (.f64 (.f64 x eps) x))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) (*.f64 (fma.f64 x x #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) (fma.f64 x (*.f64 x eps) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (*.f64 x x)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6) (/ (sin x) (cos x))))) (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 x #s(approx (* x (+ (* (* x x) (+ (* (* x x) 62/315) 17/45)) 2/3)) (*.f64 x #s(literal 2/3 binary64))) #s(literal 1 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 17/45) 2/3) #s(literal 2/3 binary64)) #s(literal 1 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) #s(approx (+ (* x (* x eps)) eps) (.f64 (.f64 x x) (+.f64 eps (/.f64 eps (*.f64 x x)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6) (/ (sin x) (cos x))))) (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 (.f64 x eps) (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) #s(literal 1 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) #s(literal 1 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64))) #s(literal 1 binary64))))) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64))) #s(literal 1 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6) (/ (sin x) (cos x))))) (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 x (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps (.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) eps))))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/3 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (-.f64 (.f64 eps eps) (.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64))) #s(literal 1 binary64))))) (.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64))) #s(literal 1 binary64))))) (.f64 eps eps)))) (-.f64 eps (.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64))) #s(literal 1 binary64)))))))))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x)))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (-.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64))) #s(literal 2/3 binary64)) #s(literal 1 binary64)))) #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64))) #s(literal 2/3 binary64)) #s(literal 1 binary64))))))) (-.f64 eps (.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64))) #s(literal 2/3 binary64)) #s(literal 1 binary64))))))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 x eps)))
(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 #s(approx (+ x eps) (fma.f64 eps (/.f64 x eps) eps)))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (/.f64 (fma.f64 eps (.f64 eps eps) (.f64 x (.f64 x x))) (fma.f64 eps eps (-.f64 (.f64 x x) (*.f64 eps x))))) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(/.f64 #s(approx (+ (* (neg (sin x)) (- 1 (* (tan x) (tan eps)))) (* (cos x) (+ (tan x) (tan eps)))) (fma.f64 eps #s(approx (+ (/ (pow (sin x) 2) (cos x)) (+ (* (+ (* 1/3 (* eps eps)) 1) (cos x)) (* (/ (pow (sin x) 2) (cos x)) (* 1/3 (* eps eps))))) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 eps eps) #s(literal 1/18 binary64) (+.f64 #s(literal 5/24 binary64) (.f64 #s(literal 1/72 binary64) (.f64 eps eps)))) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))) #s(literal 1 binary64)))) #s(literal 0 binary64))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (fma.f64 (.f64 eps eps) (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (.f64 (neg.f64 eps) eps)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(/.f64 #s(approx (+ (* (neg (sin x)) (- 1 (* (tan x) (tan eps)))) (* (cos x) (+ (tan x) (tan eps)))) (fma.f64 #s(approx (+ (* (* (sin x) (tan x)) (* 1/3 (* eps eps))) (* (cos x) (+ (* 1/3 (* eps eps)) 1))) (cos.f64 x)) eps (.f64 (.f64 (sin.f64 x) (tan.f64 x)) eps))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 #s(approx (+ (* (neg (sin x)) (- 1 (* (tan x) (tan eps)))) (* (cos x) (+ (tan x) (tan eps)))) #s(approx (+ (* eps (+ (/ (pow (sin x) 2) (cos x)) (+ (* (+ (* 1/3 (* eps eps)) 1) (cos x)) (* (/ (pow (sin x) 2) (cos x)) (* 1/3 (* eps eps)))))) 0) (.f64 eps (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 #s(approx (+ (* (neg (sin x)) (- 1 (* (tan x) (tan eps)))) (* (cos x) (+ (tan x) (tan eps)))) (fma.f64 eps (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) #s(literal 0 binary64))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (fma.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) #s(approx ( (cos x) (+ (tan x) (tan eps))) (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps eps)) eps) (sin.f64 x)))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) #s(approx ( (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x)))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (/.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x) #s(approx ( (cos x) (+ (tan x) (tan eps))) (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps eps)) eps) (sin.f64 x)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
(/.f64 (/.f64 (fma.f64 (sin.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) #s(approx ( (cos x) (+ (tan x) (tan eps))) (fma.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64))) (sin.f64 x)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
(/.f64 #s(approx (+ (* (neg (sin x)) (- 1 (* (tan x) (tan eps)))) (* (cos x) (+ (tan x) (tan eps)))) (.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64))))) eps)) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))

Outputs

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes40.0ms (0.3%)

Memory

-0.5MiB live, 37.2MiB allocated

Counts

45 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) #s(approx (+ (* x (* x eps)) eps) (.f64 eps (.f64 x x)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) #s(approx (+ (* x (* x eps)) eps) (.f64 (.f64 x eps) x))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) (*.f64 (fma.f64 x x #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) (fma.f64 x (*.f64 x eps) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (*.f64 x x)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6) (/ (sin x) (cos x))))) (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 x #s(approx (* x (+ (* (* x x) (+ (* (* x x) 62/315) 17/45)) 2/3)) (*.f64 x #s(literal 2/3 binary64))) #s(literal 1 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 17/45) 2/3) #s(literal 2/3 binary64)) #s(literal 1 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) #s(approx (+ (* x (* x eps)) eps) (.f64 (.f64 x x) (+.f64 eps (/.f64 eps (*.f64 x x)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6) (/ (sin x) (cos x))))) (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 (.f64 x eps) (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) #s(literal 1 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) #s(literal 1 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64))) #s(literal 1 binary64))))) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64))) #s(literal 1 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6) (/ (sin x) (cos x))))) (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 x (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps (.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) eps))))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/3 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (-.f64 (.f64 eps eps) (.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64))) #s(literal 1 binary64))))) (.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64))) #s(literal 1 binary64))))) (.f64 eps eps)))) (-.f64 eps (.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64))) #s(literal 1 binary64)))))))))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x)))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (-.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64))) #s(literal 2/3 binary64)) #s(literal 1 binary64)))) #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64))) #s(literal 2/3 binary64)) #s(literal 1 binary64))))))) (-.f64 eps (.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64))) #s(literal 2/3 binary64)) #s(literal 1 binary64))))))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 x eps)))
(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 #s(approx (+ x eps) (fma.f64 eps (/.f64 x eps) eps)))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (/.f64 (fma.f64 eps (.f64 eps eps) (.f64 x (.f64 x x))) (fma.f64 eps eps (-.f64 (.f64 x x) (*.f64 eps x))))) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(/.f64 #s(approx (+ (* (neg (sin x)) (- 1 (* (tan x) (tan eps)))) (* (cos x) (+ (tan x) (tan eps)))) (fma.f64 eps #s(approx (+ (/ (pow (sin x) 2) (cos x)) (+ (* (+ (* 1/3 (* eps eps)) 1) (cos x)) (* (/ (pow (sin x) 2) (cos x)) (* 1/3 (* eps eps))))) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 eps eps) #s(literal 1/18 binary64) (+.f64 #s(literal 5/24 binary64) (.f64 #s(literal 1/72 binary64) (.f64 eps eps)))) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))) #s(literal 1 binary64)))) #s(literal 0 binary64))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (fma.f64 (.f64 eps eps) (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (.f64 (neg.f64 eps) eps)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(/.f64 #s(approx (+ (* (neg (sin x)) (- 1 (* (tan x) (tan eps)))) (* (cos x) (+ (tan x) (tan eps)))) (fma.f64 #s(approx (+ (* (* (sin x) (tan x)) (* 1/3 (* eps eps))) (* (cos x) (+ (* 1/3 (* eps eps)) 1))) (cos.f64 x)) eps (.f64 (.f64 (sin.f64 x) (tan.f64 x)) eps))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 #s(approx (+ (* (neg (sin x)) (- 1 (* (tan x) (tan eps)))) (* (cos x) (+ (tan x) (tan eps)))) #s(approx (+ (* eps (+ (/ (pow (sin x) 2) (cos x)) (+ (* (+ (* 1/3 (* eps eps)) 1) (cos x)) (* (/ (pow (sin x) 2) (cos x)) (* 1/3 (* eps eps)))))) 0) (.f64 eps (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 #s(approx (+ (* (neg (sin x)) (- 1 (* (tan x) (tan eps)))) (* (cos x) (+ (tan x) (tan eps)))) (fma.f64 eps (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) #s(literal 0 binary64))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (fma.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) #s(approx ( (cos x) (+ (tan x) (tan eps))) (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps eps)) eps) (sin.f64 x)))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) #s(approx ( (cos x) (+ (tan x) (tan eps))) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x)))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (/.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x) #s(approx ( (cos x) (+ (tan x) (tan eps))) (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps eps)) eps) (sin.f64 x)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
(/.f64 (/.f64 (fma.f64 (sin.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) #s(approx ( (cos x) (+ (tan x) (tan eps))) (fma.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64))) (sin.f64 x)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))

Outputs

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes32.0ms (0.2%)

Memory

26.4MiB live, 26.4MiB allocated

Counts

38 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) #s(approx (+ (* x (* x eps)) eps) (.f64 eps (.f64 x x)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) #s(approx (+ (* x (* x eps)) eps) (.f64 (.f64 x eps) x))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) (*.f64 (fma.f64 x x #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) (fma.f64 x (*.f64 x eps) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (*.f64 x x)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6) (/ (sin x) (cos x))))) (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 x #s(approx (* x (+ (* (* x x) (+ (* (* x x) 62/315) 17/45)) 2/3)) (*.f64 x #s(literal 2/3 binary64))) #s(literal 1 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 17/45) 2/3) #s(literal 2/3 binary64)) #s(literal 1 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) #s(approx (+ (* x (* x eps)) eps) (.f64 (.f64 x x) (+.f64 eps (/.f64 eps (*.f64 x x)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6) (/ (sin x) (cos x))))) (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 (.f64 x eps) (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) #s(literal 1 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) #s(literal 1 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64))) #s(literal 1 binary64))))) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64))) #s(literal 1 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6) (/ (sin x) (cos x))))) (+ (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))) -1/6))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 x (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps (.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) eps))))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/3 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (-.f64 (.f64 eps eps) (.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64))) #s(literal 1 binary64))))) (.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64))) #s(literal 1 binary64))))) (.f64 eps eps)))) (-.f64 eps (.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64))) #s(literal 1 binary64)))))))))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x)))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (-.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64))) #s(literal 2/3 binary64)) #s(literal 1 binary64)))) #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64))) #s(literal 2/3 binary64)) #s(literal 1 binary64))))))) (-.f64 eps (.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64))) #s(literal 2/3 binary64)) #s(literal 1 binary64))))))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 x eps)))
(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 #s(approx (+ x eps) (fma.f64 eps (/.f64 x eps) eps)))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (/.f64 (fma.f64 eps (.f64 eps eps) (.f64 x (.f64 x x))) (fma.f64 eps eps (-.f64 (.f64 x x) (*.f64 eps x))))) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(/.f64 #s(approx (+ (* (neg (sin x)) (- 1 (* (tan x) (tan eps)))) (* (cos x) (+ (tan x) (tan eps)))) (fma.f64 eps #s(approx (+ (/ (pow (sin x) 2) (cos x)) (+ (* (+ (* 1/3 (* eps eps)) 1) (cos x)) (* (/ (pow (sin x) 2) (cos x)) (* 1/3 (* eps eps))))) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 eps eps) #s(literal 1/18 binary64) (+.f64 #s(literal 5/24 binary64) (.f64 #s(literal 1/72 binary64) (.f64 eps eps)))) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))) #s(literal 1 binary64)))) #s(literal 0 binary64))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (fma.f64 (.f64 eps eps) (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (.f64 (neg.f64 eps) eps)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))

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

Calls

3 calls:

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

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 15 to 10 computations (33.3% saved)

regimes37.0ms (0.2%)

Memory

-22.7MiB live, 16.2MiB allocated

Counts

22 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

23.0ms	eps
6.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
6.0ms	x

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes15.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated

Counts

15 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes14.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated

Counts

14 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes41.0ms (0.3%)

Memory

-32.1MiB live, 7.4MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

36.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
2.0ms	x
2.0ms	eps

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes6.0ms (0%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

Outputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) (*.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
97.8%	1	`x`
97.8%	1	`eps`
97.8%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes5.0ms (0%)

Memory

9.8MiB live, 9.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
6.4%	1	`x`
6.4%	1	`eps`
6.4%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify13.0ms (0.1%)

Memory

16.6MiB live, 16.6MiB allocated

Algorithm

1×	egg-herbie

Rules

48×	`*-commutative_binary64`
8×	`+-commutative_binary64`
8×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	647
1	174	647
2	185	647
3	191	647
4	195	647
5	196	647

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.5s (9.9%)

Memory

-13.7MiB live, 719.5MiB allocated

Rules

14 592×	`lower-fma.f64`
14 592×	`lower-fma.f32`
13 522×	`lower-fma.f64`
13 522×	`lower-fma.f32`
11 702×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	704	11417
1	2324	10780
2	7863	10764
0	8056	10404
0	690	12491
1	2226	12078
2	7611	12026
0	8399	11549
0	6	16
0	10	16
1	50	16
2	402	16
3	6117	16
0	8095	16
0	157	1351
1	464	1285
2	1534	1274
3	5949	1242
0	8534	1195
0	62	713
0	118	668
1	523	480
2	5044	480
0	8123	456
0	75	576
0	127	552
1	515	478
2	4396	474
0	8184	464
0	653	12194
1	2196	11468
2	7774	11450
0	8664	10967

Stop Event

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

Compiler

Compiled 640 to 284 computations (55.6% saved)

preprocess149.0ms (1%)

Memory: 7.6MiB live, 200.9MiB allocated
Compiler: Compiled 634 to 192 computations (69.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	18	39
1	38	35
2	86	35
3	169	35
4	310	35
5	367	35
6	445	35
7	482	35
8	491	35
0	6	7
0	10	7
1	13	7
2	18	7
3	24	7
4	32	7
5	47	7
6	80	7
7	107	7
8	151	7
9	166	7
10	174	7
0	174	7

Iter	Nodes	Cost
0	6	18
0	10	18
1	13	18
2	18	18
3	24	18
4	32	18
5	47	18
6	80	18
7	107	18
8	151	18
9	166	18
10	174	18
0	174	18

Iter	Nodes	Cost
0	18	39
1	38	35
2	86	35
3	169	35
4	310	35
5	367	35
6	445	35
7	482	35
8	491	35
0	6	7
0	10	7
1	13	7
2	18	7
3	24	7
4	32	7
5	47	7
6	80	7
7	107	7
8	151	7
9	166	7
10	174	7
0	174	7

Iter	Nodes	Cost
0	6	18
0	10	18
1	13	18
2	18	18
3	24	18
4	32	18
5	47	18
6	80	18
7	107	18
8	151	18
9	166	18
10	174	18
0	174	18

start0.0ms (0%)

analyze65.0ms (0.4%)

sample6.3s (40.7%)

explain101.0ms (0.7%)

preprocess29.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0%)

localize42.0ms (0.3%)

series11.0ms (0.1%)

simplify286.0ms (1.9%)

rewrite262.0ms (1.7%)

eval87.0ms (0.6%)

prune154.0ms (1%)

simplify352.0ms (2.3%)

localize512.0ms (3.3%)

series176.0ms (1.1%)

simplify309.0ms (2%)

rewrite429.0ms (2.8%)

eval519.0ms (3.4%)

prune540.0ms (3.5%)

simplify172.0ms (1.1%)

localize366.0ms (2.4%)

series70.0ms (0.5%)

simplify334.0ms (2.2%)

rewrite309.0ms (2%)

eval179.0ms (1.2%)

prune203.0ms (1.3%)

simplify199.0ms (1.3%)

localize308.0ms (2%)

series79.0ms (0.5%)

simplify338.0ms (2.2%)

rewrite362.0ms (2.3%)

eval173.0ms (1.1%)

prune142.0ms (0.9%)

regimes52.0ms (0.3%)

regimes39.0ms (0.3%)

regimes42.0ms (0.3%)

regimes40.0ms (0.3%)

regimes32.0ms (0.2%)

regimes37.0ms (0.2%)

regimes15.0ms (0.1%)

regimes14.0ms (0.1%)

regimes12.0ms (0.1%)

regimes41.0ms (0.3%)

regimes6.0ms (0%)

regimes5.0ms (0%)

simplify13.0ms (0.1%)

soundness1.5s (9.9%)

preprocess149.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	18	39
1	38	35
2	86	35
3	169	35
4	310	35
5	367	35
6	445	35
7	482	35
8	491	35
0	6	7
0	10	7
1	13	7
2	18	7
3	24	7
4	32	7
5	47	7
6	80	7
7	107	7
8	151	7
9	166	7
10	174	7
0	174	7

Iter	Nodes	Cost
0	6	18
0	10	18
1	13	18
2	18	18
3	24	18
4	32	18
5	47	18
6	80	18
7	107	18
8	151	18
9	166	18
10	174	18
0	174	18