Metrics for 2cos (problem 3.3.5)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze39.0ms (0.2%)

Memory

23.3MiB live, 23.3MiB 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)

sample10.3s (64.5%)

Memory

-82.3MiB live, 10 942.4MiB allocated

Samples

4.4s	25 716×	0	invalid
3.3s	5 595×	2	valid
947.0ms	2 550×	1	valid
13.0ms	111×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 6.9s

ival-cos: 2.9s (42.7% of total)

const: 814.0ms (11.8% of total)

ival-<=: 564.0ms (8.2% of total)

ival-add: 527.0ms (7.6% of total)

adjust: 468.0ms (6.8% of total)

ival-sub: 417.0ms (6% of total)

ival-mult: 412.0ms (6% of total)

ival-<: 359.0ms (5.2% of total)

ival-fabs: 226.0ms (3.3% of total)

ival-and: 104.0ms (1.5% of total)

exact: 48.0ms (0.7% of total)

ival-assert: 13.0ms (0.2% of total)

Bogosity

explain208.0ms (1.3%)

Memory

8.4MiB live, 244.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
133	-	-	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
0	-	-	`eps`
0	-	-	`(+.f64 x eps)`
0	-	-	`(cos.f64 x)`
0	-	-	`(cos.f64 (+.f64 x eps))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`	cancellation	133	0

Confusion

	Predicted +	Predicted -
+	133	0
-	0	123

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	133	0	0
-	0	0	123

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	123
1	133

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

133.0ms	366×	2	valid
17.0ms	144×	1	valid
0.0ms	2×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

ival-cos: 96.0ms (75.2% of total)

adjust: 22.0ms (17.2% of total)

ival-sub: 6.0ms (4.7% of total)

ival-add: 3.0ms (2.4% of total)

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

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

preprocess24.0ms (0.1%)

Memory

32.1MiB live, 32.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	41
1	38	37
2	81	35
3	152	35
4	278	35
5	370	35
6	448	35
7	485	35
8	531	35
9	546	35
10	554	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 (cos.f64 (+.f64 x eps)) (cos.f64 x))

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.9%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify9.0ms (0.1%)

Memory

-25.4MiB live, 11.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

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 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(cos.f64 x)

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

localize99.0ms (0.6%)

Memory

4.9MiB live, 83.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x eps)
accuracy	0	(cos.f64 (+.f64 x eps))
accuracy	0	(cos.f64 x)
accuracy	30.15235105749214	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Samples

83.0ms	183×	2	valid
8.0ms	72×	1	valid
0.0ms	1×	0	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-cos: 61.0ms (81.7% of total)

adjust: 9.0ms (12% of total)

ival-sub: 3.0ms (4% of total)

ival-add: 2.0ms (2.7% of total)

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

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

series5.0ms (0%)

Memory

5.6MiB live, 5.6MiB allocated

Counts

4 → 84

Calls

Call 1

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

Outputs
#s(alt (* -1 (* eps (sin x))) (taylor 0 eps) (#s(alt (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (patch (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (taylor 0 eps) (#s(alt (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (patch (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (taylor 0 eps) (#s(alt (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (patch (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (taylor 0 eps) (#s(alt (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (patch (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) #<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 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 (- (cos (+ eps x)) (cos x)) (taylor inf eps) (#s(alt (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (patch (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (cos (+ eps x)) (cos x)) (taylor inf eps) (#s(alt (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (patch (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (cos (+ eps x)) (cos x)) (taylor inf eps) (#s(alt (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (patch (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (cos (+ eps x)) (cos x)) (taylor inf eps) (#s(alt (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (patch (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) #<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 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 (- (cos (- x (* -1 eps))) (cos x)) (taylor -inf eps) (#s(alt (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (patch (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (cos (- x (* -1 eps))) (cos x)) (taylor -inf eps) (#s(alt (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (patch (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (cos (- x (* -1 eps))) (cos x)) (taylor -inf eps) (#s(alt (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (patch (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (cos (- x (* -1 eps))) (cos x)) (taylor -inf eps) (#s(alt (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (patch (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) #<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 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 (- (cos eps) 1) (taylor 0 x) (#s(alt (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (patch (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (cos eps) (* -1 (* x (sin eps)))) 1) (taylor 0 x) (#s(alt (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (patch (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1) (taylor 0 x) (#s(alt (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (patch (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1) (taylor 0 x) (#s(alt (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (patch (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (cos eps) (taylor 0 x) (#s(alt (cos.f64 (+.f64 x eps)) (patch (cos.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (+ (cos eps) (* -1 (* x (sin eps)))) (taylor 0 x) (#s(alt (cos.f64 (+.f64 x eps)) (patch (cos.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps)))) (taylor 0 x) (#s(alt (cos.f64 (+.f64 x eps)) (patch (cos.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps)))) (taylor 0 x) (#s(alt (cos.f64 (+.f64 x eps)) (patch (cos.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 1 (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (- (cos (+ eps x)) (cos x)) (taylor inf x) (#s(alt (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (patch (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (cos (+ eps x)) (cos x)) (taylor inf x) (#s(alt (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (patch (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (cos (+ eps x)) (cos x)) (taylor inf x) (#s(alt (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (patch (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (cos (+ eps x)) (cos x)) (taylor inf x) (#s(alt (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (patch (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) #<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 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 x)) (taylor inf x) (#s(alt (cos.f64 (+.f64 x eps)) (patch (cos.f64 (+.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 (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (- (cos (- eps (* -1 x))) (cos x)) (taylor -inf x) (#s(alt (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (patch (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (cos (- eps (* -1 x))) (cos x)) (taylor -inf x) (#s(alt (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (patch (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (cos (- eps (* -1 x))) (cos x)) (taylor -inf x) (#s(alt (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (patch (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (cos (- eps (* -1 x))) (cos x)) (taylor -inf x) (#s(alt (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (patch (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) #<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 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 (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	inf	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x))
1.0ms	x	@	0	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x))
1.0ms	eps	@	0	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x))
1.0ms	eps	@	-inf	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x))
0.0ms	x	@	-inf	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x))

simplify188.0ms (1.2%)

Memory

9.4MiB live, 153.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	498
1	277	495
2	607	495
3	2403	494
4	7863	494
0	8013	474

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 78

Calls

Call 1

Inputs
(* -1 (* eps (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin 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))))
x
(+ eps x)
(+ eps x)
(+ eps x)
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
eps
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
(- (cos (- x (* -1 eps))) (cos x))
(- (cos (- x (* -1 eps))) (cos x))
(- (cos (- x (* -1 eps))) (cos x))
(- (cos (- x (* -1 eps))) (cos x))
(cos (- x (* -1 eps)))
(cos (- x (* -1 eps)))
(cos (- x (* -1 eps)))
(cos (- x (* -1 eps)))
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(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))))
eps
(+ eps x)
(+ eps x)
(+ eps x)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
x
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
(cos x)
(cos x)
(cos x)
(cos x)
(- (cos (- eps (* -1 x))) (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(cos (- eps (* -1 x)))
(cos (- eps (* -1 x)))
(cos (- eps (* -1 x)))
(cos (- eps (* -1 x)))
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(cos x)
(cos x)
(cos x)
(cos x)

Outputs
(* -1 (* eps (sin x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps)
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(.f64 (fma.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)) eps)
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(.f64 (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 (cos.f64 x) eps))) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps)
(cos x)
(cos.f64 x)
(+ (cos x) (* -1 (* eps (sin x))))
(fma.f64 (neg.f64 eps) (sin.f64 x) (cos.f64 x))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(fma.f64 (-.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps (cos.f64 x))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(fma.f64 (fma.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) (.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)) eps (cos.f64 x))
x
(+ eps x)
(+.f64 x eps)
(+ eps x)
(+.f64 x eps)
(+ eps x)
(+.f64 x eps)
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (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))
eps
(* eps (+ 1 (/ x eps)))
(+.f64 x eps)
(* eps (+ 1 (/ x eps)))
(+.f64 x eps)
(* eps (+ 1 (/ x eps)))
(+.f64 x eps)
(- (cos (- x (* -1 eps))) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (- x (* -1 eps))) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (- x (* -1 eps))) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (- x (* -1 eps))) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(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))
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(+.f64 x eps)
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(+.f64 x eps)
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(+.f64 x eps)
(- (cos eps) 1)
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(-.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) x #s(literal 1 binary64)))
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(fma.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) (sin.f64 eps)) x (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(fma.f64 (fma.f64 (sin.f64 eps) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64)) (.f64 (fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)) x (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(cos eps)
(cos.f64 eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (cos.f64 eps) (neg.f64 (sin.f64 eps))) x (cos.f64 eps))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(fma.f64 (fma.f64 (sin.f64 eps) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64)) (.f64 (*.f64 (cos.f64 eps) x) #s(literal -1/2 binary64))) x (cos.f64 eps))
eps
(+ eps x)
(+.f64 x eps)
(+ eps x)
(+.f64 x eps)
(+ eps x)
(+.f64 x eps)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (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))
x
(* x (+ 1 (/ eps x)))
(+.f64 x eps)
(* x (+ 1 (/ eps x)))
(+.f64 x eps)
(* x (+ 1 (/ eps x)))
(+.f64 x eps)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(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))
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(+.f64 x eps)
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(+.f64 x eps)
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(+.f64 x eps)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)

rewrite229.0ms (1.4%)

Memory

-36.8MiB live, 189.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	10	16
1	54	16
2	380	16
3	4694	16
0	8209	16

Stop Event

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

Counts

4 → 228

Calls

Call 1

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

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

eval49.0ms (0.3%)

Memory: 26.6MiB live, 65.1MiB allocated
Compiler: Compiled 6 943 to 892 computations (87.2% saved)

prune92.0ms (0.6%)

Memory

-19.3MiB live, 66.6MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	302	4	306
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	303	4	307

Accuracy

99.8%

Counts

307 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.5%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
▶	52.3%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
▶	99.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
▶	80.8%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))

Compiler

Compiled 30 to 29 computations (3.3% saved)

simplify40.0ms (0.3%)

Memory

-0.5MiB live, 39.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (cos x) #s(literal 1 binary64))
cost-diff	0	(+.f64 x eps)
cost-diff	0	(cos.f64 (+.f64 x eps))
cost-diff	0	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
cost-diff	0	(cos.f64 eps)
cost-diff	0	(-.f64 (cos.f64 eps) #s(literal 1 binary64))
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
cost-diff	0	(.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)
cost-diff	0	(-.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x))
cost-diff	0	(.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps)
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
cost-diff	0	(sin.f64 x)
cost-diff	0	(neg.f64 eps)
cost-diff	0	(*.f64 (neg.f64 eps) (sin.f64 x))
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	123
0	39	123
1	61	123
2	92	123
3	140	123
4	198	123
5	301	123
6	557	123
7	840	123
8	1085	123
9	1140	123
10	1160	123
11	1162	123
12	1162	123
0	1162	123

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize218.0ms (1.4%)

Memory

8.8MiB live, 89.0MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x eps)
accuracy	0	(cos.f64 (+.f64 x eps))
accuracy	1.0629106269833133	#s(approx (cos x) #s(literal 1 binary64))
accuracy	30.15235105749214	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
accuracy	0	(cos.f64 eps)
accuracy	29.673038100627014	(-.f64 (cos.f64 eps) #s(literal 1 binary64))
accuracy	29.67613022631876	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
accuracy	0	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
accuracy	0.00390625	(.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)
accuracy	0.0234375	(-.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x))
accuracy	0.12109375	(.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps)
accuracy	0	(sin.f64 x)
accuracy	0	(neg.f64 eps)
accuracy	0.01953125	(*.f64 (neg.f64 eps) (sin.f64 x))
accuracy	12.259869928688016	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))

Samples

174.0ms	184×	2	valid
22.0ms	70×	1	valid
4.0ms	2×	3	valid

Compiler

Compiled 98 to 19 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 172.0ms

ival-cos: 100.0ms (58% of total)

adjust: 42.0ms (24.4% of total)

ival-mult: 15.0ms (8.7% of total)

ival-sub: 9.0ms (5.2% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated

Counts

15 → 300

Calls

Call 1

Inputs
#s(alt #s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) (sin.f64 x))) (patch #s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) (sin.f64 x))) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 eps) (sin.f64 x)) (patch (.f64 (neg.f64 eps) (sin.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 eps) (patch (neg.f64 eps) #<representation binary64>) () ())
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps)) (patch #s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps)) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps) (patch (.f64 (-.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) (patch (-.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (patch (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) #<representation binary64>) () ())
#s(alt #s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) (patch #s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (cos.f64 eps) #s(literal 1 binary64)) (patch (-.f64 (cos.f64 eps) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())
#s(alt (-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64))) (patch (-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (cos.f64 (+.f64 x eps)) (patch (cos.f64 (+.f64 x eps)) #<representation binary64>) () ())
#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())
#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* -1 (* eps (sin x))) (taylor 0 eps) (#s(alt #s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) (sin.f64 x))) (patch #s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (taylor 0 eps) (#s(alt #s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) (sin.f64 x))) (patch #s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (taylor 0 eps) (#s(alt #s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) (sin.f64 x))) (patch #s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (taylor 0 eps) (#s(alt #s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) (sin.f64 x))) (patch #s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (sin x))) (taylor 0 eps) (#s(alt (.f64 (neg.f64 eps) (sin.f64 x)) (patch (.f64 (neg.f64 eps) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (sin x))) (taylor 0 eps) (#s(alt (.f64 (neg.f64 eps) (sin.f64 x)) (patch (.f64 (neg.f64 eps) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (sin x))) (taylor 0 eps) (#s(alt (.f64 (neg.f64 eps) (sin.f64 x)) (patch (.f64 (neg.f64 eps) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (sin x))) (taylor 0 eps) (#s(alt (.f64 (neg.f64 eps) (sin.f64 x)) (patch (.f64 (neg.f64 eps) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 eps) (taylor 0 eps) (#s(alt (neg.f64 eps) (patch (neg.f64 eps) #<representation binary64>) () ())) ())
#s(alt (* -1 eps) (taylor 0 eps) (#s(alt (neg.f64 eps) (patch (neg.f64 eps) #<representation binary64>) () ())) ())
#s(alt (* -1 eps) (taylor 0 eps) (#s(alt (neg.f64 eps) (patch (neg.f64 eps) #<representation binary64>) () ())) ())
#s(alt (* -1 eps) (taylor 0 eps) (#s(alt (neg.f64 eps) (patch (neg.f64 eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (sin x))) (taylor 0 eps) (#s(alt #s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps)) (patch #s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (taylor 0 eps) (#s(alt #s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps)) (patch #s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (taylor 0 eps) (#s(alt #s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps)) (patch #s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (taylor 0 eps) (#s(alt #s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps)) (patch #s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (sin x))) (taylor 0 eps) (#s(alt (.f64 (-.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps) (patch (.f64 (-.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))) (taylor 0 eps) (#s(alt (.f64 (-.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps) (patch (.f64 (-.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))) (taylor 0 eps) (#s(alt (.f64 (-.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps) (patch (.f64 (-.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))) (taylor 0 eps) (#s(alt (.f64 (-.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps) (patch (.f64 (-.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (sin x)) (taylor 0 eps) (#s(alt (-.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) (patch (-.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1/2 (* eps (cos x))) (sin x)) (taylor 0 eps) (#s(alt (-.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) (patch (-.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1/2 (* eps (cos x))) (sin x)) (taylor 0 eps) (#s(alt (-.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) (patch (-.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1/2 (* eps (cos x))) (sin x)) (taylor 0 eps) (#s(alt (-.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) (patch (-.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* eps (cos x))) (taylor 0 eps) (#s(alt (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (patch (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* eps (cos x))) (taylor 0 eps) (#s(alt (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (patch (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* eps (cos x))) (taylor 0 eps) (#s(alt (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (patch (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* eps (cos x))) (taylor 0 eps) (#s(alt (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (patch (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (sin x))) (taylor 0 eps) (#s(alt #s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) (patch #s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (taylor 0 eps) (#s(alt #s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) (patch #s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (taylor 0 eps) (#s(alt #s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) (patch #s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (taylor 0 eps) (#s(alt #s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) (patch #s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (pow eps 2)) (taylor 0 eps) (#s(alt (-.f64 (cos.f64 eps) #s(literal 1 binary64)) (patch (-.f64 (cos.f64 eps) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) (taylor 0 eps) (#s(alt (-.f64 (cos.f64 eps) #s(literal 1 binary64)) (patch (-.f64 (cos.f64 eps) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)) (taylor 0 eps) (#s(alt (-.f64 (cos.f64 eps) #s(literal 1 binary64)) (patch (-.f64 (cos.f64 eps) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2)) (taylor 0 eps) (#s(alt (-.f64 (cos.f64 eps) #s(literal 1 binary64)) (patch (-.f64 (cos.f64 eps) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 eps) (#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow eps 2))) (taylor 0 eps) (#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (taylor 0 eps) (#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))) (taylor 0 eps) (#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (sin x))) (taylor 0 eps) (#s(alt (-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64))) (patch (-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (taylor 0 eps) (#s(alt (-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64))) (patch (-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (taylor 0 eps) (#s(alt (-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64))) (patch (-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (taylor 0 eps) (#s(alt (-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64))) (patch (-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64))) #<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 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 (- (cos (+ eps x)) (cos x)) (taylor inf eps) (#s(alt #s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) (sin.f64 x))) (patch #s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (cos (+ eps x)) (cos x)) (taylor inf eps) (#s(alt #s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) (sin.f64 x))) (patch #s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (cos (+ eps x)) (cos x)) (taylor inf eps) (#s(alt #s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) (sin.f64 x))) (patch #s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (cos (+ eps x)) (cos x)) (taylor inf eps) (#s(alt #s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) (sin.f64 x))) (patch #s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) (sin.f64 x))) #<representation binary64>) () ())) ())
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#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 (cos x) (taylor -inf x) (#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	eps	@	0	((- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (sin x) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (- (* (* (cos x) -1/2) eps) (sin x)) (* (* (cos x) -1/2) eps) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x))
2.0ms	eps	@	inf	((- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (sin x) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (- (* (* (cos x) -1/2) eps) (sin x)) (* (* (cos x) -1/2) eps) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x))
2.0ms	x	@	0	((- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (sin x) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (- (* (* (cos x) -1/2) eps) (sin x)) (* (* (cos x) -1/2) eps) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x))
2.0ms	eps	@	-inf	((- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (sin x) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (- (* (* (cos x) -1/2) eps) (sin x)) (* (* (cos x) -1/2) eps) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x))
1.0ms	x	@	inf	((- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (sin x) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (- (* (* (cos x) -1/2) eps) (sin x)) (* (* (cos x) -1/2) eps) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x))

simplify230.0ms (1.4%)

Memory

-17.8MiB live, 55.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	222	2228
1	635	2215
2	1594	2192
3	4016	2191
0	9237	2107

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 293

Calls

Call 1

Inputs
(* -1 (* eps (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 (* eps (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(* -1 (* eps (sin x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* -1 (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1 (* eps (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(* -1/2 (pow eps 2))
(* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))
1
(+ 1 (* -1/2 (pow eps 2)))
(+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))
(* -1 (* eps (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin 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))))
x
(+ eps x)
(+ eps x)
(+ eps x)
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(* -1/2 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* -1/2 (* eps (cos x)))
(* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos eps) 1)
(- (cos eps) 1)
(- (cos eps) 1)
(- (cos eps) 1)
(cos eps)
(cos eps)
(cos eps)
(cos eps)
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
eps
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
(- (cos (- x (* -1 eps))) (cos x))
(- (cos (- x (* -1 eps))) (cos x))
(- (cos (- x (* -1 eps))) (cos x))
(- (cos (- x (* -1 eps))) (cos x))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(- (cos (- x (* -1 eps))) (cos x))
(- (cos (- x (* -1 eps))) (cos x))
(- (cos (- x (* -1 eps))) (cos x))
(- (cos (- x (* -1 eps))) (cos x))
(* -1/2 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* -1/2 (* eps (cos x)))
(* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))
(* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))
(* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(- (cos (- x (* -1 eps))) (cos x))
(- (cos (- x (* -1 eps))) (cos x))
(- (cos (- x (* -1 eps))) (cos x))
(- (cos (- x (* -1 eps))) (cos x))
(- (cos eps) 1)
(- (cos eps) 1)
(- (cos eps) 1)
(- (cos eps) 1)
(cos eps)
(cos eps)
(cos eps)
(cos eps)
(- (cos (- x (* -1 eps))) (cos x))
(- (cos (- x (* -1 eps))) (cos x))
(- (cos (- x (* -1 eps))) (cos x))
(- (cos (- x (* -1 eps))) (cos x))
(cos (- x (* -1 eps)))
(cos (- x (* -1 eps)))
(cos (- x (* -1 eps)))
(cos (- x (* -1 eps)))
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(* -1 (* eps x))
(* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(* -1/2 (pow eps 2))
(+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))
(* -1/2 eps)
(+ (* -1 x) (* -1/2 eps))
(+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))
(+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))
(* -1/2 eps)
(+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))
(+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))
(+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(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))))
eps
(+ eps x)
(+ eps x)
(+ eps x)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(sin x)
(sin x)
(sin x)
(sin x)
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
x
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
(cos x)
(cos x)
(cos x)
(cos x)
(- (cos (- eps (* -1 x))) (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(sin x)
(sin x)
(sin x)
(sin x)
(- (cos (- eps (* -1 x))) (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(- (cos (- eps (* -1 x))) (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(cos (- eps (* -1 x)))
(cos (- eps (* -1 x)))
(cos (- eps (* -1 x)))
(cos (- eps (* -1 x)))
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(cos x)
(cos x)
(cos x)
(cos x)

Outputs
(* -1 (* eps (sin x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) eps (sin.f64 x)) (neg.f64 eps))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(.f64 (fma.f64 (sin.f64 x) (fma.f64 (.f64 #s(literal 1/6 binary64) eps) eps #s(literal -1 binary64)) (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)) eps)
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(.f64 (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 (cos.f64 x) eps))) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps)
(* -1 (* eps (sin x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(* -1 (* eps (sin x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(* -1 (* eps (sin x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(* -1 (* eps (sin x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 (* eps (sin x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) eps (sin.f64 x)) (neg.f64 eps))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(.f64 (fma.f64 (sin.f64 x) (fma.f64 (.f64 #s(literal 1/6 binary64) eps) eps #s(literal -1 binary64)) (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)) eps)
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(.f64 (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 (cos.f64 x) eps))) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps)
(* -1 (* eps (sin x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) eps (sin.f64 x)) (neg.f64 eps))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) eps (sin.f64 x)) (neg.f64 eps))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) eps (sin.f64 x)) (neg.f64 eps))
(* -1 (sin x))
(neg.f64 (sin.f64 x))
(- (* -1/2 (* eps (cos x))) (sin x))
(neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) eps (sin.f64 x)))
(- (* -1/2 (* eps (cos x))) (sin x))
(neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) eps (sin.f64 x)))
(- (* -1/2 (* eps (cos x))) (sin x))
(neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) eps (sin.f64 x)))
(* -1/2 (* eps (cos x)))
(.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)
(* -1/2 (* eps (cos x)))
(.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)
(* -1/2 (* eps (cos x)))
(.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)
(* -1/2 (* eps (cos x)))
(.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)
(* -1 (* eps (sin x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) eps (sin.f64 x)) (neg.f64 eps))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
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(fma.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) (sin.f64 eps)) x (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal 1/6 binary64) (fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) x) (sin.f64 eps)) x (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(- (cos eps) 1)
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(-.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) x #s(literal 1 binary64)))
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(fma.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) (sin.f64 eps)) x (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal 1/6 binary64) (fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) x) (sin.f64 eps)) x (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(cos eps)
(cos.f64 eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (cos.f64 eps) (neg.f64 (sin.f64 eps))) x (cos.f64 eps))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(fma.f64 (fma.f64 (sin.f64 eps) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64)) (.f64 (*.f64 (cos.f64 eps) x) #s(literal -1/2 binary64))) x (cos.f64 eps))
eps
(+ eps x)
(+.f64 x eps)
(+ eps x)
(+.f64 x eps)
(+ eps x)
(+.f64 x eps)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(* -1 (* eps (sin x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(* -1 (* eps (sin x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(* -1 (* eps (sin x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(* -1 (* eps (sin x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) eps (sin.f64 x)) (neg.f64 eps))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) eps (sin.f64 x)) (neg.f64 eps))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) eps (sin.f64 x)) (neg.f64 eps))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) eps (sin.f64 x)) (neg.f64 eps))
(- (* -1/2 (* eps (cos x))) (sin x))
(neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) eps (sin.f64 x)))
(- (* -1/2 (* eps (cos x))) (sin x))
(neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) eps (sin.f64 x)))
(- (* -1/2 (* eps (cos x))) (sin x))
(neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) eps (sin.f64 x)))
(- (* -1/2 (* eps (cos x))) (sin x))
(neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) eps (sin.f64 x)))
(* -1/2 (* eps (cos x)))
(.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)
(* -1/2 (* eps (cos x)))
(.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)
(* -1/2 (* eps (cos x)))
(.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)
(* -1/2 (* eps (cos x)))
(.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (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))
x
(* x (+ 1 (/ eps x)))
(+.f64 x eps)
(* x (+ 1 (/ eps x)))
(+.f64 x eps)
(* x (+ 1 (/ eps x)))
(+.f64 x eps)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(* -1 (* eps (sin x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(* -1 (* eps (sin x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(* -1 (* eps (sin x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(* -1 (* eps (sin x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) eps (sin.f64 x)) (neg.f64 eps))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) eps (sin.f64 x)) (neg.f64 eps))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) eps (sin.f64 x)) (neg.f64 eps))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) eps (sin.f64 x)) (neg.f64 eps))
(- (* -1/2 (* eps (cos x))) (sin x))
(neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) eps (sin.f64 x)))
(- (* -1/2 (* eps (cos x))) (sin x))
(neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) eps (sin.f64 x)))
(- (* -1/2 (* eps (cos x))) (sin x))
(neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) eps (sin.f64 x)))
(- (* -1/2 (* eps (cos x))) (sin x))
(neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) eps (sin.f64 x)))
(* -1/2 (* eps (cos x)))
(.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)
(* -1/2 (* eps (cos x)))
(.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)
(* -1/2 (* eps (cos x)))
(.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)
(* -1/2 (* eps (cos x)))
(.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(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))
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(+.f64 x eps)
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(+.f64 x eps)
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(+.f64 x eps)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)

rewrite249.0ms (1.6%)

Memory

12.6MiB live, 167.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	105
0	39	105
1	134	105
2	849	105
0	8485	105

Stop Event

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

Counts

15 → 362

Calls

Call 1

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

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

eval104.0ms (0.6%)

Memory: -18.3MiB live, 146.6MiB allocated
Compiler: Compiled 12 359 to 1 576 computations (87.2% saved)

prune63.0ms (0.4%)

Memory

-1.5MiB live, 162.1MiB allocated

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	655	12	667
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	657	14	671

Accuracy

100.0%

Counts

671 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps)))
	29.1%	#s(approx (- (cos (+ x eps)) (cos x)) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) eps) (fma.f64 (pow.f64 (.f64 eps (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (sin.f64 x) (fma.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps (sin.f64 x))))))
▶	52.3%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	99.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
	99.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 x)) eps))
	99.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (.f64 eps (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1/2 binary64)))) (sin.f64 x)) eps))
	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x)) eps))
✓	80.8%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
▶	98.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps))
▶	98.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
▶	98.8%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) x (neg.f64 eps)) x))))
	80.6%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x x) (neg.f64 eps)) x)))
	80.3%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (.f64 eps (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64))) x)))
	80.0%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps)))

Compiler

Compiled 390 to 296 computations (24.1% saved)

simplify468.0ms (2.9%)

Memory

7.6MiB live, 165.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) x (neg.f64 eps)) x)))
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) x (neg.f64 eps)) x))))
cost-diff	128	(fma.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) x (neg.f64 eps))
cost-diff	320	(fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) x (neg.f64 eps)) x))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))
cost-diff	0	#s(approx (- (* (* (cos x) -1/2) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps)))
cost-diff	0	(.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps)
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps))
cost-diff	0	(fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))
cost-diff	0	#s(approx (- (* (* (cos x) -1/2) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))
cost-diff	0	(.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps)
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
cost-diff	0	#s(approx (cos eps) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff	0	(neg.f64 eps)
cost-diff	0	(sin.f64 x)
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps)))
cost-diff	320	(fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	47	420
0	75	420
1	129	416
2	230	411
3	531	411
4	1123	405
5	2148	405
6	4096	405
7	5264	405
8	5987	405
9	6442	405
10	6446	405
11	6450	405
12	6556	405
13	6733	405
14	6771	405
15	6781	405
16	6791	405
17	6799	405
18	6803	405
19	6803	405
20	7079	405
21	7195	405
22	7195	405
23	7195	405
24	7195	405
25	7195	405
26	7211	405
0	7211	405

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize323.0ms (2%)

Memory

12.6MiB live, 652.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.1484375	(fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) x (neg.f64 eps)) x))
accuracy	0.28125	(fma.f64 #s(literal 1/4 binary64) eps (*.f64 #s(literal 1/6 binary64) x))
accuracy	0.42578125	(*.f64 #s(literal 1/6 binary64) x)
accuracy	0.6144231284870707	#s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) x (neg.f64 eps)) x)))
accuracy	0.12109375	(.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps)
accuracy	0.28125	(fma.f64 #s(literal 1/4 binary64) eps (*.f64 #s(literal 1/6 binary64) x))
accuracy	0.42578125	(*.f64 #s(literal 1/6 binary64) x)
accuracy	0.6148346943310788	#s(approx (- (* (* (cos x) -1/2) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps)))
accuracy	0	(neg.f64 x)
accuracy	0	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
accuracy	0.12109375	(.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps)
accuracy	1.0001481796949634	#s(approx (- (* (* (cos x) -1/2) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))
accuracy	0	#s(approx (cos eps) #s(literal 1 binary64))
accuracy	29.673038100627014	(-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	29.67613022631876	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy	0	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps)))
accuracy	0.00390625	(.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps)
accuracy	0.01171875	(.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps)
accuracy	0.015625	(fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps))

Samples

215.0ms	184×	2	valid
43.0ms	70×	1	valid
6.0ms	2×	3	valid

Compiler

Compiled 275 to 42 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 203.0ms

ival-cos: 78.0ms (38.5% of total)

ival-mult: 49.0ms (24.2% of total)

adjust: 36.0ms (17.8% of total)

ival-add: 16.0ms (7.9% of total)

ival-sub: 10.0ms (4.9% of total)

const: 7.0ms (3.5% of total)

ival-sin: 4.0ms (2% of total)

ival-neg: 2.0ms (1% of total)

exact: 1.0ms (0.5% of total)

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

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

series45.0ms (0.3%)

Memory

-5.1MiB live, 76.0MiB allocated

Counts

24 → 504

Calls

Call 1

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

Outputs
#s(alt (* -1 (* eps (sin x))) (taylor 0 eps) (#s(alt (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps)) (patch (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))) (taylor 0 eps) (#s(alt (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps)) (patch (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))) (taylor 0 eps) (#s(alt (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps)) (patch (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))) (taylor 0 eps) (#s(alt (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps)) (patch (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (sin x))) (taylor 0 eps) (#s(alt #s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps))) (patch #s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps))) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (taylor 0 eps) (#s(alt #s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps))) (patch #s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps))) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (taylor 0 eps) (#s(alt #s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps))) (patch #s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps))) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (taylor 0 eps) (#s(alt #s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps))) (patch #s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps))) #<representation binary64>) () ())) ())
#s(alt (* -1 eps) (taylor 0 eps) (#s(alt (neg.f64 eps) (patch (neg.f64 eps) #<representation binary64>) () ())) ())
#s(alt (* -1 eps) (taylor 0 eps) (#s(alt (neg.f64 eps) (patch (neg.f64 eps) #<representation binary64>) () ())) ())
#s(alt (* -1 eps) (taylor 0 eps) (#s(alt (neg.f64 eps) (patch (neg.f64 eps) #<representation binary64>) () ())) ())
#s(alt (* -1 eps) (taylor 0 eps) (#s(alt (neg.f64 eps) (patch (neg.f64 eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (sin x))) (taylor 0 eps) (#s(alt #s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (taylor 0 eps) (#s(alt #s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (taylor 0 eps) (#s(alt #s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (taylor 0 eps) (#s(alt #s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (pow eps 2)) (taylor 0 eps) (#s(alt (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) (taylor 0 eps) (#s(alt (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)) (taylor 0 eps) (#s(alt (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2)) (taylor 0 eps) (#s(alt (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 eps) (#s(alt #s(approx (cos eps) #s(literal 1 binary64)) (patch #s(approx (cos eps) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow eps 2))) (taylor 0 eps) (#s(alt #s(approx (cos eps) #s(literal 1 binary64)) (patch #s(approx (cos eps) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (taylor 0 eps) (#s(alt #s(approx (cos eps) #s(literal 1 binary64)) (patch #s(approx (cos eps) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))) (taylor 0 eps) (#s(alt #s(approx (cos eps) #s(literal 1 binary64)) (patch #s(approx (cos eps) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (sin x))) (taylor 0 eps) (#s(alt #s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps)) (patch #s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (taylor 0 eps) (#s(alt #s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps)) (patch #s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (taylor 0 eps) (#s(alt #s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps)) (patch #s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (+ (* -1 (/ (+ (* -1/4 (pow eps 2)) (/ eps x)) x)) (* 1/6 eps))) (taylor -inf x) (#s(alt (fma.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) x (neg.f64 eps)) (patch (fma.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) x (neg.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (+ (* -1/4 (pow eps 2)) (/ eps x)) x)) (* 1/6 eps))) (taylor -inf x) (#s(alt (fma.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) x (neg.f64 eps)) (patch (fma.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) x (neg.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (- (cos (- eps (* -1 x))) (cos x)) (taylor -inf x) (#s(alt #s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) x (neg.f64 eps)) x)))) (patch #s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) x (neg.f64 eps)) x)))) #<representation binary64>) () ())) ())
#s(alt (- (cos (- eps (* -1 x))) (cos x)) (taylor -inf x) (#s(alt #s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) x (neg.f64 eps)) x)))) (patch #s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) x (neg.f64 eps)) x)))) #<representation binary64>) () ())) ())
#s(alt (- (cos (- eps (* -1 x))) (cos x)) (taylor -inf x) (#s(alt #s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) x (neg.f64 eps)) x)))) (patch #s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) x (neg.f64 eps)) x)))) #<representation binary64>) () ())) ())
#s(alt (- (cos (- eps (* -1 x))) (cos x)) (taylor -inf x) (#s(alt #s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) x (neg.f64 eps)) x)))) (patch #s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) x (neg.f64 eps)) x)))) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (taylor -inf x) (#s(alt #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) x (neg.f64 eps)) x))) (patch #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) x (neg.f64 eps)) x))) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (taylor -inf x) (#s(alt #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) x (neg.f64 eps)) x))) (patch #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) x (neg.f64 eps)) x))) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (taylor -inf x) (#s(alt #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) x (neg.f64 eps)) x))) (patch #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) x (neg.f64 eps)) x))) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (taylor -inf x) (#s(alt #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) x (neg.f64 eps)) x))) (patch #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) x (neg.f64 eps)) x))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (pow eps 2) (cos x))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps) (patch (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (pow eps 2) (cos x))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps) (patch (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (pow eps 2) (cos x))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps) (patch (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (pow eps 2) (cos x))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps) (patch (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* eps (cos x))) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (patch (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* eps (cos x))) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (patch (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* eps (cos x))) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (patch (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* eps (cos x))) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (patch (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/6 binary64) x) (patch (.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/6 binary64) x) (patch (.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/6 binary64) x) (patch (.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/6 binary64) x) (patch (.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) (patch (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/4 (/ eps x)) 1/6))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) (patch (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/4 (/ eps x)) 1/6))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) (patch (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/4 (/ eps x)) 1/6))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) (patch (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	eps	@	-inf	((+ (* (sin x) (neg eps)) (* (* (* -1/2 (cos x)) eps) eps)) (- (cos (+ x eps)) (cos x)) (sin x) (neg eps) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (- (* (* (cos x) -1/2) eps) (sin x)) (+ (* -1/2 eps) (neg x)) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (- (* (* (cos x) -1/2) eps) (sin x)) (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) (+ (* (* -1/2 eps) eps) (* (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) x)) (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (* (* (* -1/2 (cos x)) eps) eps) (* (* -1/2 (cos x)) eps) (neg x) (* 1/6 x) (+ (* 1/4 eps) (* 1/6 x)))
3.0ms	eps	@	0	((+ (* (sin x) (neg eps)) (* (* (* -1/2 (cos x)) eps) eps)) (- (cos (+ x eps)) (cos x)) (sin x) (neg eps) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (- (* (* (cos x) -1/2) eps) (sin x)) (+ (* -1/2 eps) (neg x)) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (- (* (* (cos x) -1/2) eps) (sin x)) (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) (+ (* (* -1/2 eps) eps) (* (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) x)) (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (* (* (* -1/2 (cos x)) eps) eps) (* (* -1/2 (cos x)) eps) (neg x) (* 1/6 x) (+ (* 1/4 eps) (* 1/6 x)))
3.0ms	eps	@	inf	((+ (* (sin x) (neg eps)) (* (* (* -1/2 (cos x)) eps) eps)) (- (cos (+ x eps)) (cos x)) (sin x) (neg eps) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (- (* (* (cos x) -1/2) eps) (sin x)) (+ (* -1/2 eps) (neg x)) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (- (* (* (cos x) -1/2) eps) (sin x)) (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) (+ (* (* -1/2 eps) eps) (* (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) x)) (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (* (* (* -1/2 (cos x)) eps) eps) (* (* -1/2 (cos x)) eps) (neg x) (* 1/6 x) (+ (* 1/4 eps) (* 1/6 x)))
3.0ms	x	@	-inf	((+ (* (sin x) (neg eps)) (* (* (* -1/2 (cos x)) eps) eps)) (- (cos (+ x eps)) (cos x)) (sin x) (neg eps) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (- (* (* (cos x) -1/2) eps) (sin x)) (+ (* -1/2 eps) (neg x)) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (- (* (* (cos x) -1/2) eps) (sin x)) (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) (+ (* (* -1/2 eps) eps) (* (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) x)) (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (* (* (* -1/2 (cos x)) eps) eps) (* (* -1/2 (cos x)) eps) (neg x) (* 1/6 x) (+ (* 1/4 eps) (* 1/6 x)))
3.0ms	x	@	inf	((+ (* (sin x) (neg eps)) (* (* (* -1/2 (cos x)) eps) eps)) (- (cos (+ x eps)) (cos x)) (sin x) (neg eps) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (- (* (* (cos x) -1/2) eps) (sin x)) (+ (* -1/2 eps) (neg x)) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (- (* (* (cos x) -1/2) eps) (sin x)) (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) (+ (* (* -1/2 eps) eps) (* (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) x)) (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (* (* (* -1/2 (cos x)) eps) eps) (* (* -1/2 (cos x)) eps) (neg x) (* 1/6 x) (+ (* 1/4 eps) (* 1/6 x)))

simplify158.0ms (1%)

Memory

16.5MiB live, 213.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	334	4892
1	994	4764
2	2966	4678
0	8159	4447

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 503

Calls

Call 1

Inputs
(* -1 (* eps (sin x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* -1 (* eps (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 (* eps (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(* -1/2 (pow eps 2))
(* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))
1
(+ 1 (* -1/2 (pow eps 2)))
(+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))
(* -1 (* eps (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(* -1 (* eps (sin x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* -1 (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(* -1 x)
(- (* -1/2 eps) x)
(- (* -1/2 eps) x)
(- (* -1/2 eps) x)
(* -1 (* eps (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(* -1 (* eps (sin x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* -1 (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(* x (- (* 1/6 (pow x 2)) 1))
(+ (* eps (- (* 1/4 (pow x 2)) 1/2)) (* x (- (* 1/6 (pow x 2)) 1)))
(+ (* eps (- (* 1/4 (pow x 2)) 1/2)) (* x (- (* 1/6 (pow x 2)) 1)))
(+ (* eps (- (* 1/4 (pow x 2)) 1/2)) (* x (- (* 1/6 (pow x 2)) 1)))
(* eps (* x (- (* 1/6 (pow x 2)) 1)))
(* eps (+ (* eps (- (* 1/4 (pow x 2)) 1/2)) (* x (- (* 1/6 (pow x 2)) 1))))
(* eps (+ (* eps (- (* 1/4 (pow x 2)) 1/2)) (* x (- (* 1/6 (pow x 2)) 1))))
(* eps (+ (* eps (- (* 1/4 (pow x 2)) 1/2)) (* x (- (* 1/6 (pow x 2)) 1))))
(* eps (- (* 1/6 (pow x 2)) 1))
(* eps (- (+ (* 1/6 (pow x 2)) (* 1/4 (* eps x))) 1))
(* eps (- (+ (* 1/6 (pow x 2)) (* 1/4 (* eps x))) 1))
(* eps (- (+ (* 1/6 (pow x 2)) (* 1/4 (* eps x))) 1))
(* -1 (* eps (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(* -1 (* eps (sin x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* -1/2 (* (pow eps 2) (cos x)))
(* -1/2 (* (pow eps 2) (cos x)))
(* -1/2 (* (pow eps 2) (cos x)))
(* -1/2 (* (pow eps 2) (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* 1/6 x)
(+ (* 1/6 x) (* 1/4 eps))
(+ (* 1/6 x) (* 1/4 eps))
(+ (* 1/6 x) (* 1/4 eps))
(* -1/2 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos eps) 1)
(- (cos eps) 1)
(- (cos eps) 1)
(- (cos eps) 1)
(cos eps)
(cos eps)
(cos eps)
(cos eps)
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(* -1/2 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* -1/2 (* eps (cos x)))
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(* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* -1/2 eps)
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(* eps (- (* -1 (/ x eps)) 1/2))
(* eps (- (* -1 (/ x eps)) 1/2))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(* -1/2 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* -1/2 (* eps (cos x)))
(* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* eps (- (* 1/4 (pow x 2)) 1/2))
(* eps (- (+ (* 1/4 (pow x 2)) (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) 1/2))
(* eps (- (+ (* 1/4 (pow x 2)) (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) 1/2))
(* eps (- (+ (* 1/4 (pow x 2)) (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) 1/2))
(* (pow eps 2) (- (* 1/4 (pow x 2)) 1/2))
(* (pow eps 2) (- (+ (* 1/4 (pow x 2)) (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) 1/2))
(* (pow eps 2) (- (+ (* 1/4 (pow x 2)) (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) 1/2))
(* (pow eps 2) (- (+ (* 1/4 (pow x 2)) (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) 1/2))
(* 1/4 (* (pow eps 2) x))
(* (pow eps 2) (- (+ (* 1/6 (/ (pow x 2) eps)) (* 1/4 x)) (/ 1 eps)))
(* (pow eps 2) (- (+ (* 1/6 (/ (pow x 2) eps)) (* 1/4 x)) (/ 1 eps)))
(* (pow eps 2) (- (+ (* 1/6 (/ (pow x 2) eps)) (* 1/4 x)) (/ 1 eps)))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(* -1/2 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* -1/2 (* (pow eps 2) (cos x)))
(* -1/2 (* (pow eps 2) (cos x)))
(* -1/2 (* (pow eps 2) (cos x)))
(* -1/2 (* (pow eps 2) (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* 1/4 eps)
(* eps (+ 1/4 (* 1/6 (/ x eps))))
(* eps (+ 1/4 (* 1/6 (/ x eps))))
(* eps (+ 1/4 (* 1/6 (/ x eps))))
(* -1/2 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(- (cos (- x (* -1 eps))) (cos x))
(- (cos (- x (* -1 eps))) (cos x))
(- (cos (- x (* -1 eps))) (cos x))
(- (cos (- x (* -1 eps))) (cos x))
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(- (cos (- x (* -1 eps))) (cos x))
(- (cos (- x (* -1 eps))) (cos x))
(- (cos (- x (* -1 eps))) (cos x))
(- (cos (- x (* -1 eps))) (cos x))
(- (cos eps) 1)
(- (cos eps) 1)
(- (cos eps) 1)
(- (cos eps) 1)
(cos eps)
(cos eps)
(cos eps)
(cos eps)
(- (cos (- x (* -1 eps))) (cos x))
(- (cos (- x (* -1 eps))) (cos x))
(- (cos (- x (* -1 eps))) (cos x))
(- (cos (- x (* -1 eps))) (cos x))
(* -1/2 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* -1/2 (* eps (cos x)))
(* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))
(* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))
(* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))
(* -1/2 eps)
(* -1 (* eps (+ 1/2 (/ x eps))))
(* -1 (* eps (+ 1/2 (/ x eps))))
(* -1 (* eps (+ 1/2 (/ x eps))))
(- (cos (- x (* -1 eps))) (cos x))
(- (cos (- x (* -1 eps))) (cos x))
(- (cos (- x (* -1 eps))) (cos x))
(- (cos (- x (* -1 eps))) (cos x))
(* -1/2 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* -1/2 (* eps (cos x)))
(* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))
(* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))
(* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))
(* -1 (* eps (+ 1/2 (* -1/4 (pow x 2)))))
(* -1 (* eps (+ 1/2 (+ (* -1 (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) (* -1/4 (pow x 2))))))
(* -1 (* eps (+ 1/2 (+ (* -1 (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) (* -1/4 (pow x 2))))))
(* -1 (* eps (+ 1/2 (+ (* -1 (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) (* -1/4 (pow x 2))))))
(* (pow eps 2) (- (* 1/4 (pow x 2)) 1/2))
(* (pow eps 2) (- (+ (* -1 (/ (* x (+ 1 (* -1/6 (pow x 2)))) eps)) (* 1/4 (pow x 2))) 1/2))
(* (pow eps 2) (- (+ (* -1 (/ (* x (+ 1 (* -1/6 (pow x 2)))) eps)) (* 1/4 (pow x 2))) 1/2))
(* (pow eps 2) (- (+ (* -1 (/ (* x (+ 1 (* -1/6 (pow x 2)))) eps)) (* 1/4 (pow x 2))) 1/2))
(* 1/4 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1 (/ (+ 1 (* -1/6 (pow x 2))) eps)) (* 1/4 x)))
(* (pow eps 2) (+ (* -1 (/ (+ 1 (* -1/6 (pow x 2))) eps)) (* 1/4 x)))
(* (pow eps 2) (+ (* -1 (/ (+ 1 (* -1/6 (pow x 2))) eps)) (* 1/4 x)))
(- (cos (- x (* -1 eps))) (cos x))
(- (cos (- x (* -1 eps))) (cos x))
(- (cos (- x (* -1 eps))) (cos x))
(- (cos (- x (* -1 eps))) (cos x))
(* -1/2 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* -1/2 (* (pow eps 2) (cos x)))
(* -1/2 (* (pow eps 2) (cos x)))
(* -1/2 (* (pow eps 2) (cos x)))
(* -1/2 (* (pow eps 2) (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* 1/4 eps)
(* -1 (* eps (- (* -1/6 (/ x eps)) 1/4)))
(* -1 (* eps (- (* -1/6 (/ x eps)) 1/4)))
(* -1 (* eps (- (* -1/6 (/ x eps)) 1/4)))
(* -1/2 (pow eps 2))
(+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(* -1/2 (pow eps 2))
(+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))
(* -1/2 eps)
(+ (* -1 x) (* -1/2 eps))
(+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))
(+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))
(* -1/2 eps)
(+ (* -1 x) (* -1/2 eps))
(+ (* -1 x) (* -1/2 eps))
(+ (* -1 x) (* -1/2 eps))
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(* -1/2 (pow eps 2))
(+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))
(* -1/2 eps)
(+ (* -1 x) (* -1/2 eps))
(+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))
(+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))
(* -1/2 eps)
(+ (* -1 x) (* -1/2 eps))
(+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))
(+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))
(* -1/2 (pow eps 2))
(+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))
(* -1 eps)
(- (* 1/4 (* (pow eps 2) x)) eps)
(- (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))) eps)
(- (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))) eps)
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(* -1/2 (pow eps 2))
(+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))
(* -1/2 (pow eps 2))
(+ (* -1/2 (pow eps 2)) (* 1/4 (* (pow eps 2) (pow x 2))))
(+ (* -1/2 (pow eps 2)) (* (pow x 2) (+ (* -1/48 (* (pow eps 2) (pow x 2))) (* 1/4 (pow eps 2)))))
(+ (* -1/2 (pow eps 2)) (* (pow x 2) (+ (* 1/4 (pow eps 2)) (* (pow x 2) (+ (* -1/48 (pow eps 2)) (* 1/1440 (* (pow eps 2) (pow x 2))))))))
(* -1/2 eps)
(+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))
(+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))
(+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/4 eps)
(+ (* 1/6 x) (* 1/4 eps))
(+ (* 1/6 x) (* 1/4 eps))
(+ (* 1/6 x) (* 1/4 eps))
(+ (* -1 (* eps (sin x))) (* -1/2 (* (pow eps 2) (cos x))))
(+ (* -1 (* eps (sin x))) (* -1/2 (* (pow eps 2) (cos x))))
(+ (* -1 (* eps (sin x))) (* -1/2 (* (pow eps 2) (cos x))))
(+ (* -1 (* eps (sin x))) (* -1/2 (* (pow eps 2) (cos x))))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(sin x)
(sin x)
(sin x)
(sin x)
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(* -1 x)
(* x (- (* -1/2 (/ eps x)) 1))
(* x (- (* -1/2 (/ eps x)) 1))
(* x (- (* -1/2 (/ eps x)) 1))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/4 (/ eps x))))
(* (pow x 3) (- (+ 1/6 (* 1/4 (/ eps x))) (/ 1 (pow x 2))))
(* (pow x 3) (- (+ 1/6 (+ (* -1/2 (/ eps (pow x 3))) (* 1/4 (/ eps x)))) (/ 1 (pow x 2))))
(* 1/6 (* eps (pow x 3)))
(* (pow x 3) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x))))
(* (pow x 3) (+ (* -1 (/ eps (pow x 2))) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x)))))
(* (pow x 3) (- (+ (* -1/2 (/ (pow eps 2) (pow x 3))) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x)))) (/ eps (pow x 2))))
(* 1/6 (* eps (pow x 2)))
(* (pow x 2) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x))))
(* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x)))))
(* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x)))))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* -1/2 (* (pow eps 2) (cos x)))
(* -1/2 (* (pow eps 2) (cos x)))
(* -1/2 (* (pow eps 2) (cos x)))
(* -1/2 (* (pow eps 2) (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* x (+ 1/6 (* 1/4 (/ eps x))))
(* x (+ 1/6 (* 1/4 (/ eps x))))
(* x (+ 1/6 (* 1/4 (/ eps x))))
(+ (* -1 (* eps (sin x))) (* -1/2 (* (pow eps 2) (cos x))))
(+ (* -1 (* eps (sin x))) (* -1/2 (* (pow eps 2) (cos x))))
(+ (* -1 (* eps (sin x))) (* -1/2 (* (pow eps 2) (cos x))))
(+ (* -1 (* eps (sin x))) (* -1/2 (* (pow eps 2) (cos x))))
(- (cos (- eps (* -1 x))) (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(sin x)
(sin x)
(sin x)
(sin x)
(- (cos (- eps (* -1 x))) (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ eps x)))))
(* -1 (* x (+ 1 (* 1/2 (/ eps x)))))
(* -1 (* x (+ 1 (* 1/2 (/ eps x)))))
(- (cos (- eps (* -1 x))) (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(* 1/6 (pow x 3))
(* -1 (* (pow x 3) (- (* -1/4 (/ eps x)) 1/6)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/4 eps) (/ 1 x)) x)) 1/6)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (/ (+ 1 (* 1/2 (/ eps x))) x)) (* 1/4 eps)) x)) 1/6)))
(* 1/6 (* eps (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/4 (/ (pow eps 2) x)) (* -1/6 eps))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ eps x)) (* 1/4 (pow eps 2))) x)) (* -1/6 eps))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ eps (* 1/2 (/ (pow eps 2) x))) x)) (* 1/4 (pow eps 2))) x)) (* -1/6 eps))))
(* 1/6 (* eps (pow x 2)))
(* (pow x 2) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/4 (pow eps 2)) (/ eps x)) x)) (* 1/6 eps)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/4 (pow eps 2)) (/ eps x)) x)) (* 1/6 eps)))
(- (cos (- eps (* -1 x))) (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* -1/2 (* (pow eps 2) (cos x)))
(* -1/2 (* (pow eps 2) (cos x)))
(* -1/2 (* (pow eps 2) (cos x)))
(* -1/2 (* (pow eps 2) (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* -1 (* x (- (* -1/4 (/ eps x)) 1/6)))
(* -1 (* x (- (* -1/4 (/ eps x)) 1/6)))
(* -1 (* x (- (* -1/4 (/ eps x)) 1/6)))

Outputs
(* -1 (* eps (sin x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* -1 (* eps (sin x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps)
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(.f64 (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 (cos.f64 x) eps))) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 (* eps (sin x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps)
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(.f64 (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 (cos.f64 x) eps))) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps)
(* -1/2 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/2 binary64))
(* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))
(.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps) eps)
(* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)) eps) eps)
(* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 eps eps) #s(literal -1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) eps) eps)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow eps 2)))
(fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 eps eps) #s(literal 1 binary64))
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 eps eps) #s(literal 1 binary64))
(* -1 (* eps (sin x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps)
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(.f64 (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 (cos.f64 x) eps))) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps)
(* -1 (* eps (sin x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* -1 (sin x))
(neg.f64 (sin.f64 x))
(- (* -1/2 (* eps (cos x))) (sin x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x)))
(- (* -1/2 (* eps (cos x))) (sin x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x)))
(- (* -1/2 (* eps (cos x))) (sin x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x)))
(* -1 x)
(neg.f64 x)
(- (* -1/2 eps) x)
(fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))
(- (* -1/2 eps) x)
(fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))
(- (* -1/2 eps) x)
(fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))
(* -1 (* eps (sin x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps)
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(.f64 (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 (cos.f64 x) eps))) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps)
(* -1 (* eps (sin x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* -1 (sin x))
(neg.f64 (sin.f64 x))
(- (* -1/2 (* eps (cos x))) (sin x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x)))
(- (* -1/2 (* eps (cos x))) (sin x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x)))
(- (* -1/2 (* eps (cos x))) (sin x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x)))
(* x (- (* 1/6 (pow x 2)) 1))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 x))
(+ (* eps (- (* 1/4 (pow x 2)) 1/2)) (* x (- (* 1/6 (pow x 2)) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))
(+ (* eps (- (* 1/4 (pow x 2)) 1/2)) (* x (- (* 1/6 (pow x 2)) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))
(+ (* eps (- (* 1/4 (pow x 2)) 1/2)) (* x (- (* 1/6 (pow x 2)) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))
(* eps (* x (- (* 1/6 (pow x 2)) 1)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 x)) eps)
(* eps (+ (* eps (- (* 1/4 (pow x 2)) 1/2)) (* x (- (* 1/6 (pow x 2)) 1))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) eps)
(* eps (+ (* eps (- (* 1/4 (pow x 2)) 1/2)) (* x (- (* 1/6 (pow x 2)) 1))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) eps)
(* eps (+ (* eps (- (* 1/4 (pow x 2)) 1/2)) (* x (- (* 1/6 (pow x 2)) 1))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) eps)
(* eps (- (* 1/6 (pow x 2)) 1))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)) eps)
(* eps (- (+ (* 1/6 (pow x 2)) (* 1/4 (* eps x))) 1))
(.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) eps)
(* eps (- (+ (* 1/6 (pow x 2)) (* 1/4 (* eps x))) 1))
(.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) eps)
(* eps (- (+ (* 1/6 (pow x 2)) (* 1/4 (* eps x))) 1))
(.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) eps)
(* -1 (* eps (sin x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps)
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(.f64 (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 (cos.f64 x) eps))) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps)
(* -1 (* eps (sin x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 (.f64 (*.f64 (cos.f64 x) eps) eps) #s(literal -1/2 binary64))
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 (.f64 (*.f64 (cos.f64 x) eps) eps) #s(literal -1/2 binary64))
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 (.f64 (*.f64 (cos.f64 x) eps) eps) #s(literal -1/2 binary64))
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 (.f64 (*.f64 (cos.f64 x) eps) eps) #s(literal -1/2 binary64))
(* -1/2 (* eps (cos x)))
(.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)
(* -1/2 (* eps (cos x)))
(.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)
(* -1/2 (* eps (cos x)))
(.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)
(* -1/2 (* eps (cos x)))
(.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(+ (* 1/6 x) (* 1/4 eps))
(fma.f64 #s(literal 1/4 binary64) eps (*.f64 #s(literal 1/6 binary64) x))
(+ (* 1/6 x) (* 1/4 eps))
(fma.f64 #s(literal 1/4 binary64) eps (*.f64 #s(literal 1/6 binary64) x))
(+ (* 1/6 x) (* 1/4 eps))
(fma.f64 #s(literal 1/4 binary64) eps (*.f64 #s(literal 1/6 binary64) x))
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 (.f64 (*.f64 (cos.f64 x) eps) eps) #s(literal -1/2 binary64))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) (neg.f64 eps)) eps)
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) (neg.f64 eps)) eps)
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) (neg.f64 eps)) eps)
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos eps) 1)
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(- (cos eps) 1)
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(- (cos eps) 1)
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(- (cos eps) 1)
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 (.f64 (*.f64 (cos.f64 x) eps) eps) #s(literal -1/2 binary64))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) (neg.f64 eps)) eps)
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
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(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(- (* -1/2 (* eps (cos x))) (sin x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x)))
(- (* -1/2 (* eps (cos x))) (sin x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x)))
(- (* -1/2 (* eps (cos x))) (sin x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x)))
(- (* -1/2 (* eps (cos x))) (sin x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x)))
(* 1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow x 3) (+ 1/6 (* 1/4 (/ eps x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 1/4 binary64) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (+ 1/6 (* 1/4 (/ eps x))) (/ 1 (pow x 2))))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x)) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (+ 1/6 (+ (* -1/2 (/ eps (pow x 3))) (* 1/4 (/ eps x)))) (/ 1 (pow x 2))))
(*.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x)) x) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* 1/6 (* eps (pow x 3)))
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 1/6 binary64))
(* (pow x 3) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x))))
(.f64 (fma.f64 (.f64 eps (/.f64 eps x)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) eps)) (pow.f64 x #s(literal 3 binary64)))
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(.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)) (pow.f64 x #s(literal 3 binary64)))
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(* 1/6 (* eps (pow x 2)))
(.f64 (.f64 (*.f64 x eps) x) #s(literal 1/6 binary64))
(* (pow x 2) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x))))
(.f64 (.f64 (fma.f64 (.f64 eps (/.f64 eps x)) #s(literal 1/4 binary64) (.f64 #s(literal 1/6 binary64) eps)) x) x)
(* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x)))))
(.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)) (*.f64 x x))
(* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x)))))
(.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)) (*.f64 x x))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 (.f64 (*.f64 (cos.f64 x) eps) eps) #s(literal -1/2 binary64))
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 (.f64 (*.f64 (cos.f64 x) eps) eps) #s(literal -1/2 binary64))
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 (.f64 (*.f64 (cos.f64 x) eps) eps) #s(literal -1/2 binary64))
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 (.f64 (*.f64 (cos.f64 x) eps) eps) #s(literal -1/2 binary64))
(* -1/2 (* eps (cos x)))
(.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)
(* -1/2 (* eps (cos x)))
(.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)
(* -1/2 (* eps (cos x)))
(.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)
(* -1/2 (* eps (cos x)))
(.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* 1/4 (/ eps x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 1/4 binary64) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* 1/4 (/ eps x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 1/4 binary64) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* 1/4 (/ eps x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 1/4 binary64) #s(literal 1/6 binary64)) x)
(+ (* -1 (* eps (sin x))) (* -1/2 (* (pow eps 2) (cos x))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(+ (* -1 (* eps (sin x))) (* -1/2 (* (pow eps 2) (cos x))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(+ (* -1 (* eps (sin x))) (* -1/2 (* (pow eps 2) (cos x))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(+ (* -1 (* eps (sin x))) (* -1/2 (* (pow eps 2) (cos x))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(- (* -1/2 (* eps (cos x))) (sin x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x)))
(- (* -1/2 (* eps (cos x))) (sin x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x)))
(- (* -1/2 (* eps (cos x))) (sin x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x)))
(- (* -1/2 (* eps (cos x))) (sin x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x)))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/2 (/ eps x)))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) #s(literal -1 binary64)) x)
(* -1 (* x (+ 1 (* 1/2 (/ eps x)))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) #s(literal -1 binary64)) x)
(* -1 (* x (+ 1 (* 1/2 (/ eps x)))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) #s(literal -1 binary64)) x)
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(- (* -1/2 (* eps (cos x))) (sin x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x)))
(- (* -1/2 (* eps (cos x))) (sin x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x)))
(- (* -1/2 (* eps (cos x))) (sin x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x)))
(- (* -1/2 (* eps (cos x))) (sin x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x)))
(* 1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* -1 (* (pow x 3) (- (* -1/4 (/ eps x)) 1/6)))
(*.f64 (neg.f64 (fma.f64 (/.f64 eps x) #s(literal -1/4 binary64) #s(literal -1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/4 eps) (/ 1 x)) x)) 1/6)))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x)) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (/ (+ 1 (* 1/2 (/ eps x))) x)) (* 1/4 eps)) x)) 1/6)))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) eps (/.f64 (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) #s(literal -1 binary64)) x)) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* 1/6 (* eps (pow x 3)))
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 1/6 binary64))
(* -1 (* (pow x 3) (+ (* -1/4 (/ (pow eps 2) x)) (* -1/6 eps))))
(.f64 (fma.f64 (.f64 eps (/.f64 eps x)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) eps)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ eps x)) (* 1/4 (pow eps 2))) x)) (* -1/6 eps))))
(.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ eps (* 1/2 (/ (pow eps 2) x))) x)) (* 1/4 (pow eps 2))) x)) (* -1/6 eps))))
(.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) eps (/.f64 (fma.f64 (.f64 (.f64 #s(literal 1/4 binary64) eps) eps) #s(literal -1 binary64) (/.f64 (fma.f64 (.f64 eps (/.f64 eps x)) #s(literal 1/2 binary64) eps) x)) x))) (pow.f64 x #s(literal 3 binary64)))
(* 1/6 (* eps (pow x 2)))
(.f64 (.f64 (*.f64 x eps) x) #s(literal 1/6 binary64))
(* (pow x 2) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x))))
(.f64 (.f64 (fma.f64 (.f64 eps (/.f64 eps x)) #s(literal 1/4 binary64) (.f64 #s(literal 1/6 binary64) eps)) x) x)
(* (pow x 2) (+ (* -1 (/ (+ (* -1/4 (pow eps 2)) (/ eps x)) x)) (* 1/6 eps)))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 eps eps) (/.f64 eps x)) (neg.f64 x))) x) x)
(* (pow x 2) (+ (* -1 (/ (+ (* -1/4 (pow eps 2)) (/ eps x)) x)) (* 1/6 eps)))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 eps eps) (/.f64 eps x)) (neg.f64 x))) x) x)
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 (.f64 (*.f64 (cos.f64 x) eps) eps) #s(literal -1/2 binary64))
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 (.f64 (*.f64 (cos.f64 x) eps) eps) #s(literal -1/2 binary64))
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 (.f64 (*.f64 (cos.f64 x) eps) eps) #s(literal -1/2 binary64))
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 (.f64 (*.f64 (cos.f64 x) eps) eps) #s(literal -1/2 binary64))
(* -1/2 (* eps (cos x)))
(.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)
(* -1/2 (* eps (cos x)))
(.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)
(* -1/2 (* eps (cos x)))
(.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)
(* -1/2 (* eps (cos x)))
(.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* -1 (* x (- (* -1/4 (/ eps x)) 1/6)))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal -1/4 binary64) #s(literal -1/6 binary64)) (neg.f64 x))
(* -1 (* x (- (* -1/4 (/ eps x)) 1/6)))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal -1/4 binary64) #s(literal -1/6 binary64)) (neg.f64 x))
(* -1 (* x (- (* -1/4 (/ eps x)) 1/6)))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal -1/4 binary64) #s(literal -1/6 binary64)) (neg.f64 x))

rewrite172.0ms (1.1%)

Memory

-14.7MiB live, 219.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	348
0	75	348
1	274	344
2	2024	344
0	8767	344

Stop Event

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

Counts

24 → 319

Calls

Call 1

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

Outputs
(.f64 (-.f64 (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 (fma.f64 (neg.f64 (sin.f64 x)) eps (.f64 (neg.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps))) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 (.f64 (cos.f64 x) eps) (.f64 #s(literal -1/2 binary64) eps)) (-.f64 (.f64 (.f64 (cos.f64 x) eps) (.f64 #s(literal -1/2 binary64) eps)) (.f64 (neg.f64 eps) (sin.f64 x))) (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps)
(.f64 eps (-.f64 (.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)))
(pow.f64 (/.f64 (fma.f64 (neg.f64 (sin.f64 x)) eps (.f64 (neg.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps))) (-.f64 (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 (cos.f64 x) eps) (.f64 #s(literal -1/2 binary64) eps)) (-.f64 (.f64 (.f64 (cos.f64 x) eps) (.f64 #s(literal -1/2 binary64) eps)) (.f64 (neg.f64 eps) (sin.f64 x))) (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 eps #s(literal 6 binary64))) (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (cos.f64 x) eps) (.f64 #s(literal -1/2 binary64) eps)) (.f64 eps (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 x)) eps (.f64 (neg.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (pow.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (neg.f64 (sin.f64 x)) eps (.f64 (neg.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 x)) eps (.f64 (neg.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)))) (/.f64 (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 x)) eps (.f64 (neg.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)))) (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (neg.f64 (sin.f64 x)) eps (.f64 (neg.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)))) (/.f64 (.f64 (pow.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (neg.f64 (sin.f64 x)) eps (.f64 (neg.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)))) (.f64 (/.f64 (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 x)) eps (.f64 (neg.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)))) (/.f64 (.f64 (pow.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (neg.f64 (sin.f64 x)) eps (.f64 (neg.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps))))))))
(/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (.f64 eps (neg.f64 (sin.f64 x))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 eps (neg.f64 (sin.f64 x)))) (.f64 (.f64 (.f64 (cos.f64 x) eps) (.f64 #s(literal -1/2 binary64) eps)) (*.f64 eps (neg.f64 (sin.f64 x)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) eps)) (neg.f64 (fma.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps (sin.f64 x))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) eps)) (neg.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (sin.f64 x) (fma.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps (sin.f64 x))))))
(/.f64 (neg.f64 (.f64 eps (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps (sin.f64 x))))
(/.f64 (neg.f64 (.f64 eps (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (sin.f64 x) (fma.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps (sin.f64 x))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 (cos.f64 x) eps) (.f64 #s(literal -1/2 binary64) eps)) (*.f64 (neg.f64 eps) (sin.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 (sin.f64 x)) eps (.f64 (neg.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (cos.f64 x) eps) (.f64 #s(literal -1/2 binary64) eps)) (-.f64 (.f64 (.f64 (cos.f64 x) eps) (.f64 #s(literal -1/2 binary64) eps)) (.f64 (neg.f64 eps) (sin.f64 x))) (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 x)) eps (.f64 (neg.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)))) (.f64 (fma.f64 (neg.f64 (sin.f64 x)) eps (.f64 (neg.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps))) (.f64 (pow.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))))) (.f64 (fma.f64 (neg.f64 (sin.f64 x)) eps (.f64 (neg.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps))) (fma.f64 (neg.f64 (sin.f64 x)) eps (.f64 (neg.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) eps) (fma.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps (sin.f64 x)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) eps) (fma.f64 (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (sin.f64 x) (fma.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps (sin.f64 x)))))
(/.f64 (.f64 eps (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (fma.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps (sin.f64 x)))
(/.f64 (.f64 eps (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (sin.f64 x) (fma.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps (sin.f64 x)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (cos.f64 x) eps) (.f64 #s(literal -1/2 binary64) eps)) (*.f64 (neg.f64 eps) (sin.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))))) (neg.f64 (fma.f64 (neg.f64 (sin.f64 x)) eps (.f64 (neg.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 binary64)) (-.f64 (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)) eps)))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 (cos.f64 x) eps) (.f64 #s(literal -1/2 binary64) eps)) (-.f64 (.f64 (.f64 (cos.f64 x) eps) (.f64 #s(literal -1/2 binary64) eps)) (.f64 (neg.f64 eps) (sin.f64 x))) (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (fma.f64 (neg.f64 (sin.f64 x)) eps (.f64 (neg.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps))))
(/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 binary64)) (-.f64 (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)) eps))))
(/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (cos.f64 x) eps) (.f64 #s(literal -1/2 binary64) eps)) (-.f64 (.f64 (.f64 (cos.f64 x) eps) (.f64 #s(literal -1/2 binary64) eps)) (.f64 (neg.f64 eps) (sin.f64 x))) (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (neg.f64 (sin.f64 x)) eps (.f64 (neg.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps))) (-.f64 (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 (cos.f64 x) eps) (.f64 #s(literal -1/2 binary64) eps)) (-.f64 (.f64 (.f64 (cos.f64 x) eps) (.f64 #s(literal -1/2 binary64) eps)) (.f64 (neg.f64 eps) (sin.f64 x))) (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (sin.f64 x)) eps (.f64 (neg.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps))) (-.f64 (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 (cos.f64 x) eps) (.f64 #s(literal -1/2 binary64) eps)) (-.f64 (.f64 (.f64 (cos.f64 x) eps) (.f64 #s(literal -1/2 binary64) eps)) (.f64 (neg.f64 eps) (sin.f64 x))) (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 3 binary64)))))
(fma.f64 (.f64 (sin.f64 x) #s(literal -1 binary64)) eps (.f64 (.f64 (cos.f64 x) eps) (.f64 #s(literal -1/2 binary64) eps)))
(fma.f64 (.f64 (cos.f64 x) eps) (.f64 #s(literal -1/2 binary64) eps) (*.f64 eps (neg.f64 (sin.f64 x))))
(fma.f64 (.f64 (cos.f64 x) eps) (.f64 #s(literal -1/2 binary64) eps) (*.f64 (neg.f64 eps) (sin.f64 x)))
(fma.f64 (neg.f64 (sin.f64 x)) eps (.f64 (.f64 (cos.f64 x) eps) (*.f64 #s(literal -1/2 binary64) eps)))
(fma.f64 (.f64 eps eps) (.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 eps (neg.f64 (sin.f64 x))))
(fma.f64 (.f64 eps eps) (.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 (cos.f64 x) eps) (*.f64 eps (neg.f64 (sin.f64 x))))
(fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 (cos.f64 x) eps) (*.f64 (neg.f64 eps) (sin.f64 x)))
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eval95.0ms (0.6%)

Memory: 21.1MiB live, 143.9MiB allocated
Compiler: Compiled 19 952 to 2 385 computations (88% saved)

prune75.0ms (0.5%)

Memory

-17.5MiB live, 105.0MiB allocated

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	903	9	912
Fresh	2	5	7
Picked	2	3	5
Done	0	2	2
Total	907	19	926

Accuracy

100.0%

Counts

926 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps)))
	99.7%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 #s(approx ( (* -1/2 (cos x)) eps) (*.f64 #s(literal -1/2 binary64) eps)) eps)))
✓	52.3%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	99.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
▶	99.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 x)) eps))
	99.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (.f64 eps (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1/2 binary64)))) (sin.f64 x)) eps))
	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x)) eps))
✓	80.8%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
	98.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 (fma.f64 #s(approx (+ (* 1/4 eps) (* 1/6 x)) (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps))
✓	98.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
	98.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) #s(literal -1 binary64)) x))) eps))
▶	98.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps))) eps))
▶	80.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))) eps))
	99.0%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) eps) x (neg.f64 eps)) x (.f64 (.f64 #s(literal -1/2 binary64) eps) eps))))
	97.7%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (.f64 (fma.f64 #s(literal 1/4 binary64) x (/.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)) eps)) (*.f64 eps eps))) x))))
▶	98.6%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)) (*.f64 x x))) x))))
	98.2%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (neg.f64 eps)) x))))
▶	80.6%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x x) (neg.f64 eps)) x)))
	80.3%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (.f64 eps (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64))) x)))

Compiler

Compiled 490 to 385 computations (21.4% saved)

simplify158.0ms (1%)

Memory

-18.6MiB live, 110.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)) (*.f64 x x))) x)))
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)) (*.f64 x x))) x))))
cost-diff	192	(fma.f64 #s(literal 1/6 binary64) eps (/.f64 (*.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x))
cost-diff	1536	(.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)) (*.f64 x x))
cost-diff	0	(.f64 eps (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)))
cost-diff	0	#s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x x) (neg.f64 eps)) x))
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x x) (neg.f64 eps)) x)))
cost-diff	128	(fma.f64 (.f64 eps (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) (*.f64 x x) (neg.f64 eps))
cost-diff	0	#s(approx (- (* (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps)))
cost-diff	0	(.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps))) eps)
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps))) eps))
cost-diff	704	(*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps)
cost-diff	0	#s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))
cost-diff	0	#s(approx (- (* (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x)))
cost-diff	0	(.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))) eps)
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))) eps))
cost-diff	0	(-.f64 #s(approx (* (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 x))
cost-diff	0	(.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 x)) eps)
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 x)) eps))
cost-diff	320	(fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	748
0	103	735
1	197	728
2	387	723
3	914	720
4	2011	707
5	3520	689
6	5402	689
0	8261	661

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 x)) eps))
(.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 x)) eps)
(-.f64 #s(approx (* (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 x))
#s(approx (* (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps)))
(fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))
(.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64))) x)
(.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)))
eps
(fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64))
#s(literal -1/48 binary64)
(*.f64 x x)
x
#s(literal 1/4 binary64)
(*.f64 #s(literal -1/2 binary64) eps)
#s(literal -1/2 binary64)
(sin.f64 x)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))) eps))
(.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))) eps)
#s(approx (- (* (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x)))
#s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))
(neg.f64 x)
x
eps
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps))) eps))
(.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps))) eps)
#s(approx (- (* (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps)))
#s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps))
(*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps)
(-.f64 #s(literal -1/2 binary64) (/.f64 x eps))
#s(literal -1/2 binary64)
(/.f64 x eps)
x
eps
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x x) (neg.f64 eps)) x)))
#s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x x) (neg.f64 eps)) x))
(.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x x) (neg.f64 eps)) x)
(fma.f64 (.f64 eps (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) (*.f64 x x) (neg.f64 eps))
(.f64 eps (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)))
eps
(fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -1/120 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
(neg.f64 eps)
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)) (*.f64 x x))) x))))
#s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)) (*.f64 x x))) x)))
(fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)) (*.f64 x x))) x))
(*.f64 #s(literal -1/2 binary64) eps)
#s(literal -1/2 binary64)
eps
(.f64 #s(approx (+ ( (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)) (*.f64 x x))) x)
#s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)) (*.f64 x x)))
(.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)) (*.f64 x x))
(fma.f64 #s(literal 1/6 binary64) eps (/.f64 (*.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x))
#s(literal 1/6 binary64)
(/.f64 (*.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)
(*.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x)))
(fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))
#s(literal 1/4 binary64)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(*.f64 x x)

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) x) x #s(literal -1/2 binary64)) eps)) (sin.f64 x)) eps))
(.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 x)) eps)
(.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) x) x #s(literal -1/2 binary64)) eps)) (sin.f64 x)) eps)
(-.f64 #s(approx (* (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 x))
(-.f64 #s(approx (* (* (cos x) -1/2) eps) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) x) x #s(literal -1/2 binary64)) eps)) (sin.f64 x))
#s(approx (* (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (* (cos x) -1/2) eps) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) x) x #s(literal -1/2 binary64)) eps))
(fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))
(.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) x) x #s(literal -1/2 binary64)) eps)
(.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64))) x)
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) eps) x)
(.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) eps)
eps
(fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64))
#s(literal -1/48 binary64)
(*.f64 x x)
x
#s(literal 1/4 binary64)
(*.f64 #s(literal -1/2 binary64) eps)
#s(literal -1/2 binary64)
(sin.f64 x)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))) eps))
(.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))) eps)
#s(approx (- (* (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x)))
#s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))
(neg.f64 x)
x
eps
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))) eps))
(.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps))) eps)
(.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))) eps)
#s(approx (- (* (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps)))
#s(approx (- (* (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)))
#s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps))
#s(approx (+ (* -1/2 eps) (neg x)) (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))
(*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps)
(-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)
(-.f64 #s(literal -1/2 binary64) (/.f64 x eps))
#s(literal -1/2 binary64)
(/.f64 x eps)
x
eps
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x x) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (neg.f64 x)) eps)))
#s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x x) (neg.f64 eps)) x))
#s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (neg.f64 x)) eps))
(.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x x) (neg.f64 eps)) x)
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (neg.f64 x)) eps)
(fma.f64 (.f64 eps (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) (*.f64 x x) (neg.f64 eps))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal -1 binary64)) eps)
(.f64 eps (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) eps)
eps
(fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -1/120 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
(neg.f64 eps)
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)) (*.f64 x x))) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x #s(literal -1 binary64)) eps)) x (.f64 (.f64 #s(literal -1/2 binary64) eps) eps))))
#s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)) (*.f64 x x))) x)))
#s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x #s(literal -1 binary64)) eps)) x (.f64 (.f64 #s(literal -1/2 binary64) eps) eps)))
(fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)) (*.f64 x x))) x))
(fma.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x #s(literal -1 binary64)) eps)) x (.f64 (.f64 #s(literal -1/2 binary64) eps) eps))
(*.f64 #s(literal -1/2 binary64) eps)
#s(literal -1/2 binary64)
eps
(.f64 #s(approx (+ ( (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)) (*.f64 x x))) x)
(.f64 #s(approx (+ ( (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x #s(literal -1 binary64)) eps)) x)
#s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)) (*.f64 x x)))
#s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x #s(literal -1 binary64)) eps))
(.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)) (*.f64 x x))
(.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x #s(literal -1 binary64)) eps)
(fma.f64 #s(literal 1/6 binary64) eps (/.f64 (*.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x)) x) #s(literal 1/6 binary64)) eps)
#s(literal 1/6 binary64)
(/.f64 (*.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x)) eps) x)
(*.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x)))
(*.f64 (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x)) eps)
(fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))
#s(literal 1/4 binary64)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(*.f64 x x)

localize288.0ms (1.8%)

Memory

19.5MiB live, 96.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.2578125	(*.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x)))
accuracy	0.26171875	(/.f64 (*.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)
accuracy	0.6144231284870707	#s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)) (*.f64 x x))) x)))
accuracy	28.031596833101137	(.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)) (*.f64 x x))
accuracy	0.015625	(.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x x) (neg.f64 eps)) x)
accuracy	0.2890625	(.f64 eps (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)))
accuracy	0.42392807203664085	#s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x x) (neg.f64 eps)) x))
accuracy	12.259869928688016	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x x) (neg.f64 eps)) x)))
accuracy	0.00390625	(-.f64 #s(literal -1/2 binary64) (/.f64 x eps))
accuracy	0.12109375	(.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps))) eps)
accuracy	0.27734375	(*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps)
accuracy	0.9923356796949634	#s(approx (- (* (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps)))
accuracy	0	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))) eps))
accuracy	0.12109375	(.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))) eps)
accuracy	0.9923356796949634	#s(approx (- (* (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x)))
accuracy	25.29012285641077	#s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))
accuracy	0.01171875	(.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64))) x)
accuracy	0.015625	(-.f64 #s(approx (* (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 x))
accuracy	0.12109375	(.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 x)) eps)
accuracy	0.4704458215701142	#s(approx (* (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps)))

Samples

188.0ms	178×	2	valid
50.0ms	73×	1	valid
7.0ms	3×	5	exit
1.0ms	2×	0	valid

Compiler

Compiled 397 to 56 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 195.0ms

ival-mult: 53.0ms (27.2% of total)

ival-cos: 48.0ms (24.6% of total)

adjust: 40.0ms (20.5% of total)

ival-add: 18.0ms (9.2% of total)

ival-div: 11.0ms (5.6% of total)

const: 11.0ms (5.6% of total)

ival-sub: 7.0ms (3.6% of total)

ival-sin: 4.0ms (2.1% of total)

ival-neg: 2.0ms (1% of total)

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

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

exact: 0.0ms (0% of total)

series60.0ms (0.4%)

Memory

-4.7MiB live, 32.3MiB allocated

Counts

26 → 624

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps)) (patch (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps)) #<representation binary64>) () ())
#s(alt #s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 x)) eps)) (patch #s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 x)) eps)) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 x)) eps) (patch (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 x)) eps) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (* (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 x)) (patch (-.f64 #s(approx (* (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 x)) #<representation binary64>) () ())
#s(alt #s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))) eps)) (patch #s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))) eps)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))) eps) (patch (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))) eps) #<representation binary64>) () ())
#s(alt #s(approx (- (* (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))) (patch #s(approx (- (* (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x)) (patch #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps) (patch (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps) #<representation binary64>) () ())
#s(alt #s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps))) eps)) (patch #s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- (* (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps))) eps)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps))) eps) (patch (.f64 #s(approx (- (* (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps))) eps) #<representation binary64>) () ())
#s(alt #s(approx (- (* (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps))) (patch #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 eps (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x x) (neg.f64 eps)) (patch (fma.f64 (.f64 eps (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x x) (neg.f64 eps)) #<representation binary64>) () ())
#s(alt #s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x x) (neg.f64 eps)) x))) (patch #s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x x) (neg.f64 eps)) x))) #<representation binary64>) () ())
#s(alt #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x x) (neg.f64 eps)) x)) (patch #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x x) (neg.f64 eps)) x)) #<representation binary64>) () ())
#s(alt (.f64 eps (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) (patch (.f64 eps (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)) (.f64 x x)) (patch (.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)) (.f64 x x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)) (patch (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)) #<representation binary64>) () ())
#s(alt #s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)) (.f64 x x))) x)))) (patch #s(approx (- (cos (+ x eps)) (cos x)) #s(approx ( (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)) (*.f64 x x))) x)))) #<representation binary64>) () ())
#s(alt #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)) (.f64 x x))) x))) (patch #s(approx ( (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)) (*.f64 x x))) x))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))) (patch #s(approx (* (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) (patch (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) (patch (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x x) (neg.f64 eps)) x) (patch (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x x) (neg.f64 eps)) x) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x) (patch (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x) #<representation binary64>) () ())
#s(alt (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) (patch (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())

Outputs
#s(alt (* eps (- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2)) (taylor 0 eps) (#s(alt (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps)) (patch (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2)) (taylor 0 eps) (#s(alt (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps)) (patch (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2)) (taylor 0 eps) (#s(alt (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps)) (patch (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2)) (taylor 0 eps) (#s(alt (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps)) (patch (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (sin x))) (taylor 0 eps) (#s(alt #s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 x)) eps)) (patch #s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 x)) eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (taylor 0 eps) (#s(alt #s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 x)) eps)) (patch #s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 x)) eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (taylor 0 eps) (#s(alt #s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 x)) eps)) (patch #s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 x)) eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (taylor 0 eps) (#s(alt #s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 x)) eps)) (patch #s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 x)) eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (sin x))) (taylor 0 eps) (#s(alt (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 x)) eps) (patch (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 x)) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))) (taylor 0 eps) (#s(alt (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 x)) eps) (patch (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 x)) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))) (taylor 0 eps) (#s(alt (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 x)) eps) (patch (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 x)) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))) (taylor 0 eps) (#s(alt (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 x)) eps) (patch (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 x)) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (sin x)) (taylor 0 eps) (#s(alt (-.f64 #s(approx (* (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 x)) (patch (-.f64 #s(approx (* (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1/2 (* eps (cos x))) (sin x)) (taylor 0 eps) (#s(alt (-.f64 #s(approx (* (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 x)) (patch (-.f64 #s(approx (* (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1/2 (* eps (cos x))) (sin x)) (taylor 0 eps) (#s(alt (-.f64 #s(approx (* (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 x)) (patch (-.f64 #s(approx (* (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1/2 (* eps (cos x))) (sin x)) (taylor 0 eps) (#s(alt (-.f64 #s(approx (* (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 x)) (patch (-.f64 #s(approx (* (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (sin x))) (taylor 0 eps) (#s(alt #s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))) eps)) (patch #s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))) eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (taylor 0 eps) (#s(alt #s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))) eps)) (patch #s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))) eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (taylor 0 eps) (#s(alt #s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))) eps)) (patch #s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))) eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (taylor 0 eps) (#s(alt #s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))) eps)) (patch #s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))) eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (sin x))) (taylor 0 eps) (#s(alt (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))) eps) (patch (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))) (taylor 0 eps) (#s(alt (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))) eps) (patch (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))) (taylor 0 eps) (#s(alt (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))) eps) (patch (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))) (taylor 0 eps) (#s(alt (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))) eps) (patch (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (sin x)) (taylor 0 eps) (#s(alt #s(approx (- (* (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))) (patch #s(approx (- (* (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (* -1/2 (* eps (cos x))) (sin x)) (taylor 0 eps) (#s(alt #s(approx (- (* (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))) (patch #s(approx (- (* (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (* -1/2 (* eps (cos x))) (sin x)) (taylor 0 eps) (#s(alt #s(approx (- (* (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))) (patch #s(approx (- (* (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (* -1/2 (* eps (cos x))) (sin x)) (taylor 0 eps) (#s(alt #s(approx (- (* (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))) (patch #s(approx (- (* (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 eps) (#s(alt #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x)) (patch #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1/2 eps) x) (taylor 0 eps) (#s(alt #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x)) (patch #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1/2 eps) x) (taylor 0 eps) (#s(alt #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x)) (patch #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1/2 eps) x) (taylor 0 eps) (#s(alt #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x)) (patch #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (+ (* -1/4 (pow eps 2)) (/ eps x)) x)) (taylor -inf x) (#s(alt (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x) (patch (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/4 (pow eps 2)) (/ eps x)) x)) (taylor -inf x) (#s(alt (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x) (patch (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/4 (pow eps 2)) (/ eps x)) x)) (taylor -inf x) (#s(alt (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x) (patch (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow eps 2)) (taylor -inf x) (#s(alt (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) (patch (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ eps x)) (* 1/4 (pow eps 2))) (taylor -inf x) (#s(alt (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) (patch (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ eps x)) (* 1/4 (pow eps 2))) (taylor -inf x) (#s(alt (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) (patch (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ eps x)) (* 1/4 (pow eps 2))) (taylor -inf x) (#s(alt (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) (patch (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	eps	@	-inf	((+ (* (* (* eps (+ (* -1/48 (* x x)) 1/4)) x) x) (* -1/2 eps)) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (- (* (* (cos x) -1/2) eps) (sin x)) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (- (* (* (cos x) -1/2) eps) (sin x)) (+ (* -1/2 eps) (neg x)) (* (- -1/2 (/ x eps)) eps) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (- (* (* (cos x) -1/2) eps) (sin x)) (+ (* (* eps (+ (* -1/120 (* x x)) 1/6)) (* x x)) (neg eps)) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* eps (+ (* -1/120 (* x x)) 1/6)) (* (+ (* 1/6 eps) (/ (* eps (+ (* 1/4 eps) (/ -1 x))) x)) (* x x)) (+ (* 1/6 eps) (/ (* eps (+ (* 1/4 eps) (/ -1 x))) x)) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (* (* (cos x) -1/2) eps) (* (* eps (+ (* -1/48 (* x x)) 1/4)) x) (- -1/2 (/ x eps)) (* (+ (* (* eps (+ (* -1/120 (* x x)) 1/6)) (* x x)) (neg eps)) x) (/ (* eps (+ (* 1/4 eps) (/ -1 x))) x) (* eps (+ (* 1/4 eps) (/ -1 x))))
6.0ms	eps	@	0	((+ (* (* (* eps (+ (* -1/48 (* x x)) 1/4)) x) x) (* -1/2 eps)) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (- (* (* (cos x) -1/2) eps) (sin x)) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (- (* (* (cos x) -1/2) eps) (sin x)) (+ (* -1/2 eps) (neg x)) (* (- -1/2 (/ x eps)) eps) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (- (* (* (cos x) -1/2) eps) (sin x)) (+ (* (* eps (+ (* -1/120 (* x x)) 1/6)) (* x x)) (neg eps)) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* eps (+ (* -1/120 (* x x)) 1/6)) (* (+ (* 1/6 eps) (/ (* eps (+ (* 1/4 eps) (/ -1 x))) x)) (* x x)) (+ (* 1/6 eps) (/ (* eps (+ (* 1/4 eps) (/ -1 x))) x)) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (* (* (cos x) -1/2) eps) (* (* eps (+ (* -1/48 (* x x)) 1/4)) x) (- -1/2 (/ x eps)) (* (+ (* (* eps (+ (* -1/120 (* x x)) 1/6)) (* x x)) (neg eps)) x) (/ (* eps (+ (* 1/4 eps) (/ -1 x))) x) (* eps (+ (* 1/4 eps) (/ -1 x))))
6.0ms	eps	@	inf	((+ (* (* (* eps (+ (* -1/48 (* x x)) 1/4)) x) x) (* -1/2 eps)) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (- (* (* (cos x) -1/2) eps) (sin x)) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (- (* (* (cos x) -1/2) eps) (sin x)) (+ (* -1/2 eps) (neg x)) (* (- -1/2 (/ x eps)) eps) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (- (* (* (cos x) -1/2) eps) (sin x)) (+ (* (* eps (+ (* -1/120 (* x x)) 1/6)) (* x x)) (neg eps)) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* eps (+ (* -1/120 (* x x)) 1/6)) (* (+ (* 1/6 eps) (/ (* eps (+ (* 1/4 eps) (/ -1 x))) x)) (* x x)) (+ (* 1/6 eps) (/ (* eps (+ (* 1/4 eps) (/ -1 x))) x)) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (* (* (cos x) -1/2) eps) (* (* eps (+ (* -1/48 (* x x)) 1/4)) x) (- -1/2 (/ x eps)) (* (+ (* (* eps (+ (* -1/120 (* x x)) 1/6)) (* x x)) (neg eps)) x) (/ (* eps (+ (* 1/4 eps) (/ -1 x))) x) (* eps (+ (* 1/4 eps) (/ -1 x))))
3.0ms	x	@	inf	((+ (* (* (* eps (+ (* -1/48 (* x x)) 1/4)) x) x) (* -1/2 eps)) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (- (* (* (cos x) -1/2) eps) (sin x)) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (- (* (* (cos x) -1/2) eps) (sin x)) (+ (* -1/2 eps) (neg x)) (* (- -1/2 (/ x eps)) eps) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (- (* (* (cos x) -1/2) eps) (sin x)) (+ (* (* eps (+ (* -1/120 (* x x)) 1/6)) (* x x)) (neg eps)) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* eps (+ (* -1/120 (* x x)) 1/6)) (* (+ (* 1/6 eps) (/ (* eps (+ (* 1/4 eps) (/ -1 x))) x)) (* x x)) (+ (* 1/6 eps) (/ (* eps (+ (* 1/4 eps) (/ -1 x))) x)) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (* (* (cos x) -1/2) eps) (* (* eps (+ (* -1/48 (* x x)) 1/4)) x) (- -1/2 (/ x eps)) (* (+ (* (* eps (+ (* -1/120 (* x x)) 1/6)) (* x x)) (neg eps)) x) (/ (* eps (+ (* 1/4 eps) (/ -1 x))) x) (* eps (+ (* 1/4 eps) (/ -1 x))))
3.0ms	x	@	-inf	((+ (* (* (* eps (+ (* -1/48 (* x x)) 1/4)) x) x) (* -1/2 eps)) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (- (* (* (cos x) -1/2) eps) (sin x)) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (- (* (* (cos x) -1/2) eps) (sin x)) (+ (* -1/2 eps) (neg x)) (* (- -1/2 (/ x eps)) eps) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (- (* (* (cos x) -1/2) eps) (sin x)) (+ (* (* eps (+ (* -1/120 (* x x)) 1/6)) (* x x)) (neg eps)) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* eps (+ (* -1/120 (* x x)) 1/6)) (* (+ (* 1/6 eps) (/ (* eps (+ (* 1/4 eps) (/ -1 x))) x)) (* x x)) (+ (* 1/6 eps) (/ (* eps (+ (* 1/4 eps) (/ -1 x))) x)) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (* (* (cos x) -1/2) eps) (* (* eps (+ (* -1/48 (* x x)) 1/4)) x) (- -1/2 (/ x eps)) (* (+ (* (* eps (+ (* -1/120 (* x x)) 1/6)) (* x x)) (neg eps)) x) (/ (* eps (+ (* 1/4 eps) (/ -1 x))) x) (* eps (+ (* 1/4 eps) (/ -1 x))))

simplify150.0ms (0.9%)

Memory

14.3MiB live, 55.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	305	6520
1	965	6420
2	2949	6191
3	7741	6181
0	8240	5880

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 624

Calls

Call 1

Inputs
(* eps (- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2))
(* eps (- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2))
(* eps (- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2))
(* eps (- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2))
(* -1 (* eps (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(* -1 (* eps (sin x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* -1 (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(* -1 (* eps (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(* -1 (* eps (sin x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* -1 (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(* -1 x)
(- (* -1/2 eps) x)
(- (* -1/2 eps) x)
(- (* -1/2 eps) x)
(* -1 x)
(+ (* -1 x) (* -1/2 eps))
(+ (* -1 x) (* -1/2 eps))
(+ (* -1 x) (* -1/2 eps))
(* -1 (* eps (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(* -1 (* eps (sin x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* -1 (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(* eps (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))
(* eps (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))
(* eps (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))
(* eps (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))
(* -1 (* eps (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* eps (+ 1/6 (* -1/120 (pow x 2))))
(* eps (+ 1/6 (* -1/120 (pow x 2))))
(* eps (+ 1/6 (* -1/120 (pow x 2))))
(* eps (+ 1/6 (* -1/120 (pow x 2))))
(* eps (* (pow x 2) (- 1/6 (/ 1 (pow x 2)))))
(* eps (+ (* 1/4 (* eps x)) (* (pow x 2) (- 1/6 (/ 1 (pow x 2))))))
(* eps (+ (* 1/4 (* eps x)) (* (pow x 2) (- 1/6 (/ 1 (pow x 2))))))
(* eps (+ (* 1/4 (* eps x)) (* (pow x 2) (- 1/6 (/ 1 (pow x 2))))))
(* eps (- 1/6 (/ 1 (pow x 2))))
(* eps (- (+ 1/6 (* 1/4 (/ eps x))) (/ 1 (pow x 2))))
(* eps (- (+ 1/6 (* 1/4 (/ eps x))) (/ 1 (pow x 2))))
(* eps (- (+ 1/6 (* 1/4 (/ eps x))) (/ 1 (pow x 2))))
(* -1 (* eps (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(* -1 (* eps (sin x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* eps (* x (+ 1/4 (* -1/48 (pow x 2)))))
(* eps (* x (+ 1/4 (* -1/48 (pow x 2)))))
(* eps (* x (+ 1/4 (* -1/48 (pow x 2)))))
(* eps (* x (+ 1/4 (* -1/48 (pow x 2)))))
(* -1 (/ x eps))
(/ (- (* -1/2 eps) x) eps)
(/ (- (* -1/2 eps) x) eps)
(/ (- (* -1/2 eps) x) eps)
(* eps (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)))
(* eps (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)))
(* eps (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)))
(* eps (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)))
(* -1 (/ eps (pow x 2)))
(* eps (- (* 1/4 (/ eps x)) (/ 1 (pow x 2))))
(* eps (- (* 1/4 (/ eps x)) (/ 1 (pow x 2))))
(* eps (- (* 1/4 (/ eps x)) (/ 1 (pow x 2))))
(* -1 (/ eps x))
(* eps (- (* 1/4 eps) (/ 1 x)))
(* eps (- (* 1/4 eps) (/ 1 x)))
(* eps (- (* 1/4 eps) (/ 1 x)))
(* eps (- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2))
(* eps (- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2))
(* eps (- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2))
(* eps (- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(* -1/2 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* -1/2 (* eps (cos x)))
(* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(* -1/2 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* -1/2 (* eps (cos x)))
(* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* -1/2 eps)
(* eps (- (* -1 (/ x eps)) 1/2))
(* eps (- (* -1 (/ x eps)) 1/2))
(* eps (- (* -1 (/ x eps)) 1/2))
(* -1/2 eps)
(* eps (- (* -1 (/ x eps)) 1/2))
(* eps (- (* -1 (/ x eps)) 1/2))
(* eps (- (* -1 (/ x eps)) 1/2))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(* -1/2 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* -1/2 (* eps (cos x)))
(* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* eps (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))
(* eps (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))
(* eps (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))
(* eps (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* eps (+ 1/6 (* -1/120 (pow x 2))))
(* eps (+ 1/6 (* -1/120 (pow x 2))))
(* eps (+ 1/6 (* -1/120 (pow x 2))))
(* eps (+ 1/6 (* -1/120 (pow x 2))))
(* 1/4 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 1/4 x) (/ (* (pow x 2) (- 1/6 (/ 1 (pow x 2)))) eps)))
(* (pow eps 2) (+ (* 1/4 x) (/ (* (pow x 2) (- 1/6 (/ 1 (pow x 2)))) eps)))
(* (pow eps 2) (+ (* 1/4 x) (/ (* (pow x 2) (- 1/6 (/ 1 (pow x 2)))) eps)))
(* 1/4 (/ (pow eps 2) x))
(* (pow eps 2) (- (+ (* 1/6 (/ 1 eps)) (* 1/4 (/ 1 x))) (/ 1 (* eps (pow x 2)))))
(* (pow eps 2) (- (+ (* 1/6 (/ 1 eps)) (* 1/4 (/ 1 x))) (/ 1 (* eps (pow x 2)))))
(* (pow eps 2) (- (+ (* 1/6 (/ 1 eps)) (* 1/4 (/ 1 x))) (/ 1 (* eps (pow x 2)))))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(* -1/2 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* eps (* x (+ 1/4 (* -1/48 (pow x 2)))))
(* eps (* x (+ 1/4 (* -1/48 (pow x 2)))))
(* eps (* x (+ 1/4 (* -1/48 (pow x 2)))))
(* eps (* x (+ 1/4 (* -1/48 (pow x 2)))))
-1/2
(- (* -1 (/ x eps)) 1/2)
(- (* -1 (/ x eps)) 1/2)
(- (* -1 (/ x eps)) 1/2)
(* eps (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)))
(* eps (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)))
(* eps (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)))
(* eps (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)))
(* 1/4 (/ (pow eps 2) x))
(* (pow eps 2) (- (* 1/4 (/ 1 x)) (/ 1 (* eps (pow x 2)))))
(* (pow eps 2) (- (* 1/4 (/ 1 x)) (/ 1 (* eps (pow x 2)))))
(* (pow eps 2) (- (* 1/4 (/ 1 x)) (/ 1 (* eps (pow x 2)))))
(* 1/4 (pow eps 2))
(* (pow eps 2) (- 1/4 (/ 1 (* eps x))))
(* (pow eps 2) (- 1/4 (/ 1 (* eps x))))
(* (pow eps 2) (- 1/4 (/ 1 (* eps x))))
(* -1 (* eps (+ 1/2 (* -1 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))))))
(* -1 (* eps (+ 1/2 (* -1 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))))))
(* -1 (* eps (+ 1/2 (* -1 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))))))
(* -1 (* eps (+ 1/2 (* -1 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))))))
(- (cos (- x (* -1 eps))) (cos x))
(- (cos (- x (* -1 eps))) (cos x))
(- (cos (- x (* -1 eps))) (cos x))
(- (cos (- x (* -1 eps))) (cos x))
(* -1/2 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* -1/2 (* eps (cos x)))
(* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))
(* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))
(* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))
(- (cos (- x (* -1 eps))) (cos x))
(- (cos (- x (* -1 eps))) (cos x))
(- (cos (- x (* -1 eps))) (cos x))
(- (cos (- x (* -1 eps))) (cos x))
(* -1/2 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* -1/2 (* eps (cos x)))
(* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))
(* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))
(* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))
(* -1/2 eps)
(* -1 (* eps (+ 1/2 (/ x eps))))
(* -1 (* eps (+ 1/2 (/ x eps))))
(* -1 (* eps (+ 1/2 (/ x eps))))
(* -1/2 eps)
(* -1 (* eps (+ 1/2 (/ x eps))))
(* -1 (* eps (+ 1/2 (/ x eps))))
(* -1 (* eps (+ 1/2 (/ x eps))))
(- (cos (- x (* -1 eps))) (cos x))
(- (cos (- x (* -1 eps))) (cos x))
(- (cos (- x (* -1 eps))) (cos x))
(- (cos (- x (* -1 eps))) (cos x))
(* -1/2 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* -1/2 (* eps (cos x)))
(* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))
(* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))
(* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))
(* -1 (* eps (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))))))
(* -1 (* eps (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))))))
(* -1 (* eps (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))))))
(* -1 (* eps (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))))))
(- (cos (- x (* -1 eps))) (cos x))
(- (cos (- x (* -1 eps))) (cos x))
(- (cos (- x (* -1 eps))) (cos x))
(- (cos (- x (* -1 eps))) (cos x))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* eps (+ 1/6 (* -1/120 (pow x 2))))
(* eps (+ 1/6 (* -1/120 (pow x 2))))
(* eps (+ 1/6 (* -1/120 (pow x 2))))
(* eps (+ 1/6 (* -1/120 (pow x 2))))
(* 1/4 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1 (/ (* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) eps)) (* 1/4 x)))
(* (pow eps 2) (+ (* -1 (/ (* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) eps)) (* 1/4 x)))
(* (pow eps 2) (+ (* -1 (/ (* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) eps)) (* 1/4 x)))
(* 1/4 (/ (pow eps 2) x))
(* (pow eps 2) (+ (* -1 (/ (- (/ 1 (pow x 2)) 1/6) eps)) (* 1/4 (/ 1 x))))
(* (pow eps 2) (+ (* -1 (/ (- (/ 1 (pow x 2)) 1/6) eps)) (* 1/4 (/ 1 x))))
(* (pow eps 2) (+ (* -1 (/ (- (/ 1 (pow x 2)) 1/6) eps)) (* 1/4 (/ 1 x))))
(- (cos (- x (* -1 eps))) (cos x))
(- (cos (- x (* -1 eps))) (cos x))
(- (cos (- x (* -1 eps))) (cos x))
(- (cos (- x (* -1 eps))) (cos x))
(* -1/2 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* eps (* x (+ 1/4 (* -1/48 (pow x 2)))))
(* eps (* x (+ 1/4 (* -1/48 (pow x 2)))))
(* eps (* x (+ 1/4 (* -1/48 (pow x 2)))))
(* eps (* x (+ 1/4 (* -1/48 (pow x 2)))))
-1/2
(- (* -1 (/ x eps)) 1/2)
(- (* -1 (/ x eps)) 1/2)
(- (* -1 (/ x eps)) 1/2)
(* -1 (* eps (* x (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))))))
(* -1 (* eps (* x (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))))))
(* -1 (* eps (* x (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))))))
(* -1 (* eps (* x (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))))))
(* 1/4 (/ (pow eps 2) x))
(* (pow eps 2) (- (* 1/4 (/ 1 x)) (/ 1 (* eps (pow x 2)))))
(* (pow eps 2) (- (* 1/4 (/ 1 x)) (/ 1 (* eps (pow x 2)))))
(* (pow eps 2) (- (* 1/4 (/ 1 x)) (/ 1 (* eps (pow x 2)))))
(* 1/4 (pow eps 2))
(* (pow eps 2) (- 1/4 (/ 1 (* eps x))))
(* (pow eps 2) (- 1/4 (/ 1 (* eps x))))
(* (pow eps 2) (- 1/4 (/ 1 (* eps x))))
(* -1/2 eps)
(+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))
(+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))
(+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(* -1/2 (pow eps 2))
(+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))
(* -1/2 eps)
(+ (* -1 x) (* -1/2 eps))
(+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))
(+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(* -1/2 (pow eps 2))
(+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))
(* -1/2 eps)
(+ (* -1 x) (* -1/2 eps))
(+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))
(+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))
(* -1/2 eps)
(+ (* -1 x) (* -1/2 eps))
(+ (* -1 x) (* -1/2 eps))
(+ (* -1 x) (* -1/2 eps))
(* -1/2 eps)
(+ (* -1 x) (* -1/2 eps))
(+ (* -1 x) (* -1/2 eps))
(+ (* -1 x) (* -1/2 eps))
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(* -1/2 (pow eps 2))
(+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))
(* -1/2 eps)
(+ (* -1 x) (* -1/2 eps))
(+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))
(+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))
(* -1 eps)
(- (* 1/6 (* eps (pow x 2))) eps)
(- (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps))) eps)
(- (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps))) eps)
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(* -1 (* eps x))
(* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))
(* 1/6 eps)
(+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps))
(+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps))
(+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps))
(* -1 eps)
(+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))
(+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))
(+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))
(* -1 (/ eps (pow x 2)))
(/ (+ (* -1 eps) (* 1/4 (* (pow eps 2) x))) (pow x 2))
(/ (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2))))) (pow x 2))
(/ (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2))))) (pow x 2))
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(* -1/2 (pow eps 2))
(+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))
(* -1/2 eps)
(+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))
(+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))
(+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))
(* 1/4 (* eps x))
(* x (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps)))
(* x (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps)))
(* x (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps)))
-1/2
(- (* -1 (/ x eps)) 1/2)
(- (* -1 (/ x eps)) 1/2)
(- (* -1 (/ x eps)) 1/2)
(* -1 (* eps x))
(* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))
(* -1 (/ eps (pow x 2)))
(/ (+ (* -1 eps) (* 1/4 (* (pow eps 2) x))) (pow x 2))
(/ (+ (* -1 eps) (* 1/4 (* (pow eps 2) x))) (pow x 2))
(/ (+ (* -1 eps) (* 1/4 (* (pow eps 2) x))) (pow x 2))
(* -1 (/ eps x))
(/ (+ (* -1 eps) (* 1/4 (* (pow eps 2) x))) x)
(/ (+ (* -1 eps) (* 1/4 (* (pow eps 2) x))) x)
(/ (+ (* -1 eps) (* 1/4 (* (pow eps 2) x))) x)
(* -1/48 (* eps (pow x 4)))
(* (pow x 4) (+ (* -1/48 eps) (* 1/4 (/ eps (pow x 2)))))
(* (pow x 4) (+ (* -1/2 (/ eps (pow x 4))) (+ (* -1/48 eps) (* 1/4 (/ eps (pow x 2))))))
(* (pow x 4) (+ (* -1/2 (/ eps (pow x 4))) (+ (* -1/48 eps) (* 1/4 (/ eps (pow x 2))))))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(* -1 x)
(* x (- (* -1/2 (/ eps x)) 1))
(* x (- (* -1/2 (/ eps x)) 1))
(* x (- (* -1/2 (/ eps x)) 1))
(* -1 x)
(* x (- (* -1/2 (/ eps x)) 1))
(* x (- (* -1/2 (/ eps x)) 1))
(* x (- (* -1/2 (/ eps x)) 1))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(* -1/120 (* eps (pow x 4)))
(* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))
(* (pow x 4) (+ (* -1 (/ eps (pow x 4))) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))))
(* (pow x 4) (+ (* -1 (/ eps (pow x 4))) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1/120 (* eps (pow x 2)))
(* (pow x 2) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))
(* (pow x 2) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))
(* (pow x 2) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))
(* 1/6 (* eps (pow x 2)))
(* (pow x 2) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x))))
(* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x)))))
(* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x)))))
(* 1/6 eps)
(+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x)))
(+ (* -1 (/ eps (pow x 2))) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x))))
(+ (* -1 (/ eps (pow x 2))) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x))))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/48 (* eps (pow x 3)))
(* (pow x 3) (+ (* -1/48 eps) (* 1/4 (/ eps (pow x 2)))))
(* (pow x 3) (+ (* -1/48 eps) (* 1/4 (/ eps (pow x 2)))))
(* (pow x 3) (+ (* -1/48 eps) (* 1/4 (/ eps (pow x 2)))))
(* -1 (/ x eps))
(* -1 (* x (+ (/ 1 eps) (* 1/2 (/ 1 x)))))
(* -1 (* x (+ (/ 1 eps) (* 1/2 (/ 1 x)))))
(* -1 (* x (+ (/ 1 eps) (* 1/2 (/ 1 x)))))
(* -1/120 (* eps (pow x 5)))
(* (pow x 5) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))
(* (pow x 5) (+ (* -1 (/ eps (pow x 4))) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))))
(* (pow x 5) (+ (* -1 (/ eps (pow x 4))) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))))
(* 1/4 (/ (pow eps 2) x))
(/ (+ (* -1 (/ eps x)) (* 1/4 (pow eps 2))) x)
(/ (+ (* -1 (/ eps x)) (* 1/4 (pow eps 2))) x)
(/ (+ (* -1 (/ eps x)) (* 1/4 (pow eps 2))) x)
(* 1/4 (pow eps 2))
(+ (* -1 (/ eps x)) (* 1/4 (pow eps 2)))
(+ (* -1 (/ eps x)) (* 1/4 (pow eps 2)))
(+ (* -1 (/ eps x)) (* 1/4 (pow eps 2)))
(* -1/48 (* eps (pow x 4)))
(* (pow x 4) (+ (* -1/48 eps) (* 1/4 (/ eps (pow x 2)))))
(* (pow x 4) (+ (* -1/2 (/ eps (pow x 4))) (+ (* -1/48 eps) (* 1/4 (/ eps (pow x 2))))))
(* (pow x 4) (+ (* -1/2 (/ eps (pow x 4))) (+ (* -1/48 eps) (* 1/4 (/ eps (pow x 2))))))
(- (cos (- eps (* -1 x))) (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (cos (- eps (* -1 x))) (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ eps x)))))
(* -1 (* x (+ 1 (* 1/2 (/ eps x)))))
(* -1 (* x (+ 1 (* 1/2 (/ eps x)))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ eps x)))))
(* -1 (* x (+ 1 (* 1/2 (/ eps x)))))
(* -1 (* x (+ 1 (* 1/2 (/ eps x)))))
(- (cos (- eps (* -1 x))) (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(* -1/120 (* eps (pow x 4)))
(* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))
(* (pow x 4) (+ (* -1 (/ eps (pow x 4))) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))))
(* (pow x 4) (+ (* -1 (/ eps (pow x 4))) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))))
(- (cos (- eps (* -1 x))) (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1/120 (* eps (pow x 2)))
(* (pow x 2) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))
(* (pow x 2) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))
(* (pow x 2) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))
(* 1/6 (* eps (pow x 2)))
(* (pow x 2) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/4 (pow eps 2)) (/ eps x)) x)) (* 1/6 eps)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/4 (pow eps 2)) (/ eps x)) x)) (* 1/6 eps)))
(* 1/6 eps)
(+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x)))
(+ (* -1 (/ (+ (* -1/4 (pow eps 2)) (/ eps x)) x)) (* 1/6 eps))
(+ (* -1 (/ (+ (* -1/4 (pow eps 2)) (/ eps x)) x)) (* 1/6 eps))
(- (cos (- eps (* -1 x))) (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/48 (* eps (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/4 (/ eps (pow x 2))) (* 1/48 eps))))
(* -1 (* (pow x 3) (+ (* -1/4 (/ eps (pow x 2))) (* 1/48 eps))))
(* -1 (* (pow x 3) (+ (* -1/4 (/ eps (pow x 2))) (* 1/48 eps))))
(* -1 (/ x eps))
(* -1 (* x (+ (/ 1 eps) (* 1/2 (/ 1 x)))))
(* -1 (* x (+ (/ 1 eps) (* 1/2 (/ 1 x)))))
(* -1 (* x (+ (/ 1 eps) (* 1/2 (/ 1 x)))))
(* -1/120 (* eps (pow x 5)))
(* -1 (* (pow x 5) (+ (* -1/6 (/ eps (pow x 2))) (* 1/120 eps))))
(* -1 (* (pow x 5) (+ (* -1/6 (/ eps (pow x 2))) (+ (* 1/120 eps) (/ eps (pow x 4))))))
(* -1 (* (pow x 5) (+ (* -1/6 (/ eps (pow x 2))) (+ (* 1/120 eps) (/ eps (pow x 4))))))
(* 1/4 (/ (pow eps 2) x))
(* -1 (/ (+ (* -1/4 (pow eps 2)) (/ eps x)) x))
(* -1 (/ (+ (* -1/4 (pow eps 2)) (/ eps x)) x))
(* -1 (/ (+ (* -1/4 (pow eps 2)) (/ eps x)) x))
(* 1/4 (pow eps 2))
(+ (* -1 (/ eps x)) (* 1/4 (pow eps 2)))
(+ (* -1 (/ eps x)) (* 1/4 (pow eps 2)))
(+ (* -1 (/ eps x)) (* 1/4 (pow eps 2)))

Outputs
(* eps (- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x #s(literal -1/2 binary64)) eps)
(* eps (- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x #s(literal -1/2 binary64)) eps)
(* eps (- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x #s(literal -1/2 binary64)) eps)
(* eps (- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x #s(literal -1/2 binary64)) eps)
(* -1 (* eps (sin x)))
(*.f64 (neg.f64 (sin.f64 x)) eps)
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(.f64 (fma.f64 (sin.f64 x) (fma.f64 eps (.f64 #s(literal 1/6 binary64) eps) #s(literal -1 binary64)) (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)) eps)
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(.f64 (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 (cos.f64 x) eps))) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps)
(* -1 (* eps (sin x)))
(*.f64 (neg.f64 (sin.f64 x)) eps)
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* -1 (sin x))
(neg.f64 (sin.f64 x))
(- (* -1/2 (* eps (cos x))) (sin x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x)))
(- (* -1/2 (* eps (cos x))) (sin x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x)))
(- (* -1/2 (* eps (cos x))) (sin x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x)))
(* -1 (* eps (sin x)))
(*.f64 (neg.f64 (sin.f64 x)) eps)
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(.f64 (fma.f64 (sin.f64 x) (fma.f64 eps (.f64 #s(literal 1/6 binary64) eps) #s(literal -1 binary64)) (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)) eps)
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(.f64 (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 (cos.f64 x) eps))) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps)
(* -1 (* eps (sin x)))
(*.f64 (neg.f64 (sin.f64 x)) eps)
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* -1 (sin x))
(neg.f64 (sin.f64 x))
(- (* -1/2 (* eps (cos x))) (sin x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x)))
(- (* -1/2 (* eps (cos x))) (sin x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x)))
(- (* -1/2 (* eps (cos x))) (sin x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x)))
(* -1 x)
(neg.f64 x)
(- (* -1/2 eps) x)
(fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))
(- (* -1/2 eps) x)
(fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))
(- (* -1/2 eps) x)
(fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* -1/2 eps))
(fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))
(+ (* -1 x) (* -1/2 eps))
(fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))
(+ (* -1 x) (* -1/2 eps))
(fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))
(* -1 (* eps (sin x)))
(*.f64 (neg.f64 (sin.f64 x)) eps)
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(.f64 (fma.f64 (sin.f64 x) (fma.f64 eps (.f64 #s(literal 1/6 binary64) eps) #s(literal -1 binary64)) (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)) eps)
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(.f64 (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 (cos.f64 x) eps))) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps)
(* -1 (* eps (sin x)))
(*.f64 (neg.f64 (sin.f64 x)) eps)
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* -1 (sin x))
(neg.f64 (sin.f64 x))
(- (* -1/2 (* eps (cos x))) (sin x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x)))
(- (* -1/2 (* eps (cos x))) (sin x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x)))
(- (* -1/2 (* eps (cos x))) (sin x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x)))
(* eps (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/120 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1 binary64))) eps)
(* eps (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/120 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1 binary64))) eps)
(* eps (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/120 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1 binary64))) eps)
(* eps (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/120 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1 binary64))) eps)
(* -1 (* eps (sin x)))
(*.f64 (neg.f64 (sin.f64 x)) eps)
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(.f64 (fma.f64 (sin.f64 x) (fma.f64 eps (.f64 #s(literal 1/6 binary64) eps) #s(literal -1 binary64)) (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)) eps)
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(.f64 (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 (cos.f64 x) eps))) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps)
(* -1 (* eps (sin x)))
(*.f64 (neg.f64 (sin.f64 x)) eps)
(* -1 (* eps (sin x)))
(*.f64 (neg.f64 (sin.f64 x)) eps)
(* -1 (* eps (sin x)))
(*.f64 (neg.f64 (sin.f64 x)) eps)
(* -1 (* eps (sin x)))
(*.f64 (neg.f64 (sin.f64 x)) eps)
(* eps (+ 1/6 (* -1/120 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) eps)
(* eps (+ 1/6 (* -1/120 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) eps)
(* eps (+ 1/6 (* -1/120 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) eps)
(* eps (+ 1/6 (* -1/120 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) eps)
(* eps (* (pow x 2) (- 1/6 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1 binary64)) eps)
(* eps (+ (* 1/4 (* eps x)) (* (pow x 2) (- 1/6 (/ 1 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x #s(literal -1 binary64)) eps)
(* eps (+ (* 1/4 (* eps x)) (* (pow x 2) (- 1/6 (/ 1 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x #s(literal -1 binary64)) eps)
(* eps (+ (* 1/4 (* eps x)) (* (pow x 2) (- 1/6 (/ 1 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x #s(literal -1 binary64)) eps)
(* eps (- 1/6 (/ 1 (pow x 2))))
(.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) eps)
(* eps (- (+ 1/6 (* 1/4 (/ eps x))) (/ 1 (pow x 2))))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x)) x) #s(literal 1/6 binary64)) eps)
(* eps (- (+ 1/6 (* 1/4 (/ eps x))) (/ 1 (pow x 2))))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x)) x) #s(literal 1/6 binary64)) eps)
(* eps (- (+ 1/6 (* 1/4 (/ eps x))) (/ 1 (pow x 2))))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x)) x) #s(literal 1/6 binary64)) eps)
(* -1 (* eps (sin x)))
(*.f64 (neg.f64 (sin.f64 x)) eps)
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(.f64 (fma.f64 (sin.f64 x) (fma.f64 eps (.f64 #s(literal 1/6 binary64) eps) #s(literal -1 binary64)) (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)) eps)
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(.f64 (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 (cos.f64 x) eps))) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps)
(* -1 (* eps (sin x)))
(*.f64 (neg.f64 (sin.f64 x)) eps)
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* -1/2 (* eps (cos x)))
(.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)
(* -1/2 (* eps (cos x)))
(.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)
(* -1/2 (* eps (cos x)))
(.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)
(* -1/2 (* eps (cos x)))
(.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)
(* eps (* x (+ 1/4 (* -1/48 (pow x 2)))))
(.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64))) x)
(* eps (* x (+ 1/4 (* -1/48 (pow x 2)))))
(.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64))) x)
(* eps (* x (+ 1/4 (* -1/48 (pow x 2)))))
(.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64))) x)
(* eps (* x (+ 1/4 (* -1/48 (pow x 2)))))
(.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64))) x)
(* -1 (/ x eps))
(/.f64 (neg.f64 x) eps)
(/ (- (* -1/2 eps) x) eps)
(-.f64 #s(literal -1/2 binary64) (/.f64 x eps))
(/ (- (* -1/2 eps) x) eps)
(-.f64 #s(literal -1/2 binary64) (/.f64 x eps))
(/ (- (* -1/2 eps) x) eps)
(-.f64 #s(literal -1/2 binary64) (/.f64 x eps))
(* eps (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/120 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1 binary64))) (*.f64 x eps))
(* eps (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/120 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1 binary64))) (*.f64 x eps))
(* eps (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/120 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1 binary64))) (*.f64 x eps))
(* eps (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/120 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1 binary64))) (*.f64 x eps))
(* -1 (/ eps (pow x 2)))
(/.f64 (neg.f64 eps) (*.f64 x x))
(* eps (- (* 1/4 (/ eps x)) (/ 1 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x)) (/.f64 eps x))
(* eps (- (* 1/4 (/ eps x)) (/ 1 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x)) (/.f64 eps x))
(* eps (- (* 1/4 (/ eps x)) (/ 1 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x)) (/.f64 eps x))
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(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* -1/2 (* eps (cos x)))
(.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)
(* -1/2 (* eps (cos x)))
(.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)
(* -1/2 (* eps (cos x)))
(.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)
(* -1/2 (* eps (cos x)))
(.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)
(* -1/48 (* eps (pow x 3)))
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal -1/48 binary64))
(* -1 (* (pow x 3) (+ (* -1/4 (/ eps (pow x 2))) (* 1/48 eps))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 eps (+.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) x) x) #s(literal -1/48 binary64))))
(* -1 (* (pow x 3) (+ (* -1/4 (/ eps (pow x 2))) (* 1/48 eps))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 eps (+.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) x) x) #s(literal -1/48 binary64))))
(* -1 (* (pow x 3) (+ (* -1/4 (/ eps (pow x 2))) (* 1/48 eps))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 eps (+.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) x) x) #s(literal -1/48 binary64))))
(* -1 (/ x eps))
(/.f64 (neg.f64 x) eps)
(* -1 (* x (+ (/ 1 eps) (* 1/2 (/ 1 x)))))
(-.f64 #s(literal -1/2 binary64) (/.f64 x eps))
(* -1 (* x (+ (/ 1 eps) (* 1/2 (/ 1 x)))))
(-.f64 #s(literal -1/2 binary64) (/.f64 x eps))
(* -1 (* x (+ (/ 1 eps) (* 1/2 (/ 1 x)))))
(-.f64 #s(literal -1/2 binary64) (/.f64 x eps))
(* -1/120 (* eps (pow x 5)))
(.f64 (.f64 (pow.f64 x #s(literal 5 binary64)) eps) #s(literal -1/120 binary64))
(* -1 (* (pow x 5) (+ (* -1/6 (/ eps (pow x 2))) (* 1/120 eps))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (.f64 eps (+.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal -1/120 binary64))))
(* -1 (* (pow x 5) (+ (* -1/6 (/ eps (pow x 2))) (+ (* 1/120 eps) (/ eps (pow x 4))))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 eps (+.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal -1/120 binary64)) (/.f64 (neg.f64 eps) (pow.f64 x #s(literal 4 binary64)))))
(* -1 (* (pow x 5) (+ (* -1/6 (/ eps (pow x 2))) (+ (* 1/120 eps) (/ eps (pow x 4))))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 eps (+.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal -1/120 binary64)) (/.f64 (neg.f64 eps) (pow.f64 x #s(literal 4 binary64)))))
(* 1/4 (/ (pow eps 2) x))
(.f64 (.f64 eps (/.f64 eps x)) #s(literal 1/4 binary64))
(* -1 (/ (+ (* -1/4 (pow eps 2)) (/ eps x)) x))
(/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 eps eps) (/.f64 eps x)) (neg.f64 x))
(* -1 (/ (+ (* -1/4 (pow eps 2)) (/ eps x)) x))
(/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 eps eps) (/.f64 eps x)) (neg.f64 x))
(* -1 (/ (+ (* -1/4 (pow eps 2)) (/ eps x)) x))
(/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 eps eps) (/.f64 eps x)) (neg.f64 x))
(* 1/4 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/4 binary64))
(+ (* -1 (/ eps x)) (* 1/4 (pow eps 2)))
(*.f64 (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x)) eps)
(+ (* -1 (/ eps x)) (* 1/4 (pow eps 2)))
(*.f64 (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x)) eps)
(+ (* -1 (/ eps x)) (* 1/4 (pow eps 2)))
(*.f64 (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x)) eps)

rewrite146.0ms (0.9%)

Memory

-13.5MiB live, 61.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	556
0	103	547
1	406	543
2	3090	543
0	8663	541

Stop Event

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

Counts

26 → 333

Calls

Call 1

Inputs
(fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 x)) eps))
(.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 x)) eps)
(-.f64 #s(approx (* (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))) eps))
(.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))) eps)
#s(approx (- (* (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x)))
#s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))
(*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps))) eps))
(.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps))) eps)
#s(approx (- (* (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps)))
(fma.f64 (.f64 eps (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) (*.f64 x x) (neg.f64 eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x x) (neg.f64 eps)) x)))
#s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x x) (neg.f64 eps)) x))
(.f64 eps (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)) (*.f64 x x))
(fma.f64 #s(literal 1/6 binary64) eps (/.f64 (*.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)) (*.f64 x x))) x))))
#s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)) (*.f64 x x))) x)))
#s(approx (* (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps)))
(.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64))) x)
(-.f64 #s(literal -1/2 binary64) (/.f64 x eps))
(.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x x) (neg.f64 eps)) x)
(/.f64 (*.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)
(*.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x)))

Outputs
(.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) eps) x) x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) eps) eps)) (pow.f64 (fma.f64 (.f64 x eps) (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) x) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) eps) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) eps) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) eps) (-.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) eps) x) x)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (.f64 x eps) (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) x) (.f64 #s(literal 1/2 binary64) eps)) (-.f64 (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) eps) x) x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) eps) eps))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) eps) (-.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) eps) x) x)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) eps) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) eps) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) eps) eps) (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) eps) x) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) eps) x) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) eps) x) x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) eps) eps)))) (neg.f64 (neg.f64 (fma.f64 (.f64 x eps) (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) x) (.f64 #s(literal 1/2 binary64) eps)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) eps) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) eps) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) eps) (-.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) eps) x) x)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) eps) x) x) #s(literal 2 binary64)) (fma.f64 (.f64 x eps) (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) x) (.f64 #s(literal 1/2 binary64) eps))) (.f64 (fma.f64 (.f64 x eps) (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) x) (.f64 #s(literal 1/2 binary64) eps)) (.f64 (.f64 #s(literal 1/4 binary64) eps) eps))) (.f64 (fma.f64 (.f64 x eps) (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) x) (.f64 #s(literal 1/2 binary64) eps)) (fma.f64 (.f64 x eps) (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) x) (*.f64 #s(literal 1/2 binary64) eps))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) eps) eps) (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) eps) x) x) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) eps) x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) eps) x) x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) eps) eps))) (neg.f64 (fma.f64 (.f64 x eps) (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) x) (.f64 #s(literal 1/2 binary64) eps))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) eps) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 eps eps) #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) eps) x) x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) eps) x) x) #s(literal -1/2 binary64)) eps)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) eps) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) eps) (-.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) eps) x) x))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) eps) x) x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) eps) eps)) (fma.f64 (.f64 x eps) (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) x) (.f64 #s(literal 1/2 binary64) eps)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) eps) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) eps) #s(literal 3 binary64))) (fma.f64 (.f64 eps eps) #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) eps) x) x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) eps) x) x) #s(literal -1/2 binary64)) eps))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) eps) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) eps) #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) eps) (-.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) eps) x) x)))))
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(neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x)) (neg.f64 eps)) x))
(neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x)) eps) (neg.f64 x)))
(exp.f64 (.f64 (log.f64 (/.f64 x (.f64 (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x)) eps))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x)) eps)
(*.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x)))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) eps) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))) eps)) (neg.f64 (fma.f64 #s(literal 1/4 binary64) eps (pow.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))) eps)) (neg.f64 (fma.f64 (.f64 eps eps) #s(literal 1/16 binary64) (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (neg.f64 eps) x))))))
(/.f64 (neg.f64 (.f64 eps (-.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) eps) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) eps (pow.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (.f64 eps (fma.f64 #s(literal 1/64 binary64) (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))))) (neg.f64 (fma.f64 (.f64 eps eps) #s(literal 1/16 binary64) (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (neg.f64 eps) x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) eps) #s(literal 4 binary64)) (pow.f64 (/.f64 (neg.f64 eps) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (*.f64 #s(literal 1/4 binary64) eps) eps) (/.f64 (neg.f64 eps) x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 1/64 binary64) (pow.f64 (/.f64 eps x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) eps) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 (neg.f64 eps) x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) eps) eps) (/.f64 (neg.f64 eps) x))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) eps) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))) eps) (fma.f64 #s(literal 1/4 binary64) eps (pow.f64 x #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))) eps) (fma.f64 (.f64 eps eps) #s(literal 1/16 binary64) (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (neg.f64 eps) x)))))
(/.f64 (.f64 eps (-.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) eps) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64)))) (fma.f64 #s(literal 1/4 binary64) eps (pow.f64 x #s(literal -1 binary64))))
(/.f64 (.f64 eps (fma.f64 #s(literal 1/64 binary64) (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (fma.f64 (.f64 eps eps) #s(literal 1/16 binary64) (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (neg.f64 eps) x)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) eps) #s(literal 4 binary64)) (pow.f64 (/.f64 (neg.f64 eps) x) #s(literal 2 binary64))) (-.f64 (.f64 (*.f64 #s(literal 1/4 binary64) eps) eps) (/.f64 (neg.f64 eps) x)))
(/.f64 (fma.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 1/64 binary64) (pow.f64 (/.f64 eps x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) eps) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 (neg.f64 eps) x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) eps) eps) (/.f64 (neg.f64 eps) x)))))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) #s(literal -1/2 binary64)) eps (/.f64 (neg.f64 eps) x))
(fma.f64 (*.f64 eps eps) #s(literal 1/4 binary64) (/.f64 (neg.f64 eps) x))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) eps) #s(literal -1/2 binary64) (/.f64 (neg.f64 eps) x))
(fma.f64 (*.f64 #s(literal 1/4 binary64) eps) eps (/.f64 (neg.f64 eps) x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) eps (.f64 (.f64 #s(literal 1/4 binary64) eps) eps))
(fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal -1 binary64)) eps) (.f64 (*.f64 #s(literal 1/4 binary64) eps) eps))
(fma.f64 (neg.f64 eps) (pow.f64 x #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) eps) eps))
(fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) eps) (/.f64 (neg.f64 eps) x))
(fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 #s(literal -1/2 binary64) eps) eps) (/.f64 (neg.f64 eps) x))
(fma.f64 #s(literal 1/4 binary64) (*.f64 eps eps) (/.f64 (neg.f64 eps) x))
(fma.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) eps)) (/.f64 (neg.f64 eps) x))
(fma.f64 eps (*.f64 #s(literal 1/4 binary64) eps) (/.f64 (neg.f64 eps) x))
(fma.f64 eps (/.f64 #s(literal -1 binary64) x) (.f64 (.f64 #s(literal 1/4 binary64) eps) eps))
(+.f64 (/.f64 (neg.f64 eps) x) (.f64 (.f64 #s(literal 1/4 binary64) eps) eps))
(+.f64 (.f64 (.f64 #s(literal 1/4 binary64) eps) eps) (/.f64 (neg.f64 eps) x))

eval115.0ms (0.7%)

Memory: -0.1MiB live, 82.1MiB allocated
Compiler: Compiled 21 566 to 2 756 computations (87.2% saved)

prune61.0ms (0.4%)

Memory

24.4MiB live, 63.4MiB allocated

Pruning

18 alts after pruning (11 fresh and 7 done)

	Pruned	Kept	Total
New	951	6	957
Fresh	4	5	9
Picked	2	3	5
Done	1	4	5
Total	958	18	976

Accuracy

100.0%

Counts

976 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 #s(approx ( (* -1/2 (cos x)) eps) (*.f64 #s(literal -1/2 binary64) eps)) eps)))
	99.7%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 #s(approx (* (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) eps) x) x (.f64 #s(literal -1/2 binary64) eps))) eps (*.f64 (neg.f64 (sin.f64 x)) eps)))
✓	52.3%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	99.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
	99.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x #s(literal -1/2 binary64)) eps)) (sin.f64 x)) eps))
	99.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (.f64 eps (fma.f64 (.f64 #s(literal 1/4 binary64) x) x #s(literal -1/2 binary64)))) (sin.f64 x)) eps))
	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x)) eps))
✓	80.8%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
	98.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 (fma.f64 #s(approx (+ (* 1/4 eps) (* 1/6 x)) (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps))
✓	98.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
	98.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) #s(literal -1 binary64)) x))) eps))
✓	98.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps))) eps))
✓	80.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))) eps))
	98.4%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 eps (fma.f64 (.f64 #s(literal 1/4 binary64) x) eps #s(literal -1 binary64))) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
	51.1%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) eps #s(approx (/ ( eps (+ (* 1/4 eps) (/ -1 x))) x) (/.f64 (neg.f64 eps) (.f64 x x)))) (.f64 x x))) x))))
	98.2%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (neg.f64 eps)) x))))
✓	80.6%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x x) (neg.f64 eps)) x)))
	80.3%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)) eps) x)))

Compiler

Compiled 724 to 398 computations (45% saved)

regimes24.0ms (0.1%)

Memory

-26.7MiB live, 12.6MiB allocated

Counts

32 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (neg.f64 eps)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (.f64 eps (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64))) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)) eps) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) #s(literal -1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 (fma.f64 #s(approx (+ (* 1/4 eps) (* 1/6 x)) (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 eps (fma.f64 (.f64 #s(literal 1/4 binary64) x) eps #s(literal -1 binary64))) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x x) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) x (neg.f64 eps)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) eps) x (neg.f64 eps)) x (.f64 (.f64 #s(literal -1/2 binary64) eps) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) eps #s(approx (/ ( eps (+ (* 1/4 eps) (/ -1 x))) x) (/.f64 (neg.f64 eps) (.f64 x x)))) (.f64 x x))) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (.f64 (fma.f64 #s(literal 1/4 binary64) x (/.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)) eps)) (*.f64 eps eps))) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)) (*.f64 x x))) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 #s(approx ( (* -1/2 (cos x)) eps) (*.f64 #s(literal -1/2 binary64) eps)) eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (.f64 eps (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1/2 binary64)))) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (.f64 eps (fma.f64 (.f64 #s(literal 1/4 binary64) x) x #s(literal -1/2 binary64)))) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x #s(literal -1/2 binary64)) eps)) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 #s(approx (* (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) eps) x) x (.f64 #s(literal -1/2 binary64) eps))) eps (*.f64 (neg.f64 (sin.f64 x)) eps)))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) eps) (fma.f64 (pow.f64 (.f64 eps (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (sin.f64 x) (fma.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps (sin.f64 x))))))

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

Calls

3 calls:

8.0ms	x
8.0ms	eps
7.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes22.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Counts

30 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (neg.f64 eps)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (.f64 eps (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64))) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)) eps) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) #s(literal -1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 (fma.f64 #s(approx (+ (* 1/4 eps) (* 1/6 x)) (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 eps (fma.f64 (.f64 #s(literal 1/4 binary64) x) eps #s(literal -1 binary64))) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x x) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) x (neg.f64 eps)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) eps) x (neg.f64 eps)) x (.f64 (.f64 #s(literal -1/2 binary64) eps) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) eps #s(approx (/ ( eps (+ (* 1/4 eps) (/ -1 x))) x) (/.f64 (neg.f64 eps) (.f64 x x)))) (.f64 x x))) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (.f64 (fma.f64 #s(literal 1/4 binary64) x (/.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)) eps)) (*.f64 eps eps))) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)) (*.f64 x x))) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 #s(approx ( (* -1/2 (cos x)) eps) (*.f64 #s(literal -1/2 binary64) eps)) eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (.f64 eps (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1/2 binary64)))) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (.f64 eps (fma.f64 (.f64 #s(literal 1/4 binary64) x) x #s(literal -1/2 binary64)))) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x #s(literal -1/2 binary64)) eps)) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 #s(approx (* (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) eps) x) x (.f64 #s(literal -1/2 binary64) eps))) eps (*.f64 (neg.f64 (sin.f64 x)) eps)))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes21.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Counts

29 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (neg.f64 eps)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (.f64 eps (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64))) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)) eps) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) #s(literal -1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 (fma.f64 #s(approx (+ (* 1/4 eps) (* 1/6 x)) (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 eps (fma.f64 (.f64 #s(literal 1/4 binary64) x) eps #s(literal -1 binary64))) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x x) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) x (neg.f64 eps)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) eps) x (neg.f64 eps)) x (.f64 (.f64 #s(literal -1/2 binary64) eps) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) eps #s(approx (/ ( eps (+ (* 1/4 eps) (/ -1 x))) x) (/.f64 (neg.f64 eps) (.f64 x x)))) (.f64 x x))) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (.f64 (fma.f64 #s(literal 1/4 binary64) x (/.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)) eps)) (*.f64 eps eps))) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)) (*.f64 x x))) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 #s(approx ( (* -1/2 (cos x)) eps) (*.f64 #s(literal -1/2 binary64) eps)) eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (.f64 eps (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1/2 binary64)))) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (.f64 eps (fma.f64 (.f64 #s(literal 1/4 binary64) x) x #s(literal -1/2 binary64)))) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x #s(literal -1/2 binary64)) eps)) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 #s(approx (* (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) eps) x) x (.f64 #s(literal -1/2 binary64) eps))) eps (*.f64 (neg.f64 (sin.f64 x)) eps)))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Outputs

#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 #s(approx (* (* (cos x) -1/2) eps) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x #s(literal -1/2 binary64)) eps)) (sin.f64 x)) eps))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`eps`
99.7%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes19.0ms (0.1%)

Memory

-29.0MiB live, 10.8MiB allocated

Counts

25 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (neg.f64 eps)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (.f64 eps (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64))) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)) eps) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) #s(literal -1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 (fma.f64 #s(approx (+ (* 1/4 eps) (* 1/6 x)) (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 eps (fma.f64 (.f64 #s(literal 1/4 binary64) x) eps #s(literal -1 binary64))) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x x) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) x (neg.f64 eps)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) eps) x (neg.f64 eps)) x (.f64 (.f64 #s(literal -1/2 binary64) eps) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) eps #s(approx (/ ( eps (+ (* 1/4 eps) (/ -1 x))) x) (/.f64 (neg.f64 eps) (.f64 x x)))) (.f64 x x))) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (.f64 (fma.f64 #s(literal 1/4 binary64) x (/.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)) eps)) (*.f64 eps eps))) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)) (*.f64 x x))) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 #s(approx ( (* -1/2 (cos x)) eps) (*.f64 #s(literal -1/2 binary64) eps)) eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (.f64 eps (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1/2 binary64)))) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (.f64 eps (fma.f64 (.f64 #s(literal 1/4 binary64) x) x #s(literal -1/2 binary64)))) (sin.f64 x)) eps))

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

Calls

3 calls:

7.0ms	eps
6.0ms	x
5.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
99.7%	1	`eps`
99.7%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.7%	1	`x`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes17.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

Counts

22 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (neg.f64 eps)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (.f64 eps (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64))) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)) eps) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) #s(literal -1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 (fma.f64 #s(approx (+ (* 1/4 eps) (* 1/6 x)) (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 eps (fma.f64 (.f64 #s(literal 1/4 binary64) x) eps #s(literal -1 binary64))) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x x) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) x (neg.f64 eps)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) eps) x (neg.f64 eps)) x (.f64 (.f64 #s(literal -1/2 binary64) eps) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) eps #s(approx (/ ( eps (+ (* 1/4 eps) (/ -1 x))) x) (/.f64 (neg.f64 eps) (.f64 x x)))) (.f64 x x))) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (.f64 (fma.f64 #s(literal 1/4 binary64) x (/.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)) eps)) (*.f64 eps eps))) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)) (*.f64 x x))) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x)) eps))

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

Calls

3 calls:

6.0ms	eps
6.0ms	x
4.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes16.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated

Counts

21 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (neg.f64 eps)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (.f64 eps (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64))) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)) eps) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) #s(literal -1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 (fma.f64 #s(approx (+ (* 1/4 eps) (* 1/6 x)) (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 eps (fma.f64 (.f64 #s(literal 1/4 binary64) x) eps #s(literal -1 binary64))) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x x) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) x (neg.f64 eps)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) eps) x (neg.f64 eps)) x (.f64 (.f64 #s(literal -1/2 binary64) eps) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) eps #s(approx (/ ( eps (+ (* 1/4 eps) (/ -1 x))) x) (/.f64 (neg.f64 eps) (.f64 x x)))) (.f64 x x))) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (.f64 (fma.f64 #s(literal 1/4 binary64) x (/.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)) eps)) (*.f64 eps eps))) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)) (*.f64 x x))) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))

Outputs

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

Calls

3 calls:

6.0ms	x
5.0ms	eps
4.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes12.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated

Counts

14 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (neg.f64 eps)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (.f64 eps (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64))) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)) eps) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) #s(literal -1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 (fma.f64 #s(approx (+ (* 1/4 eps) (* 1/6 x)) (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 eps (fma.f64 (.f64 #s(literal 1/4 binary64) x) eps #s(literal -1 binary64))) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x x) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) x (neg.f64 eps)) x))))

Outputs

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes9.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	x
3.0ms	eps
2.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes6.0ms (0%)

Memory

-40.5MiB live, 4.7MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps)))

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

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps)))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
80.0%	1	`x`
80.0%	1	`eps`
80.0%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes3.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
52.3%	1	`eps`
52.3%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
52.3%	1	`x`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify22.0ms (0.1%)

Memory

19.1MiB live, 19.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	256
1	113	256
2	130	256
3	143	256
4	145	256

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x #s(literal -1/2 binary64)) eps)) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 #s(approx ( (* -1/2 (cos x)) eps) (*.f64 #s(literal -1/2 binary64) eps)) eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) eps) x (neg.f64 eps)) x (.f64 (.f64 #s(literal -1/2 binary64) eps) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 (fma.f64 #s(approx (+ (* 1/4 eps) (* 1/6 x)) (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x #s(literal -1/2 binary64)) eps)) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 #s(approx ( (* -1/2 (cos x)) eps) (*.f64 #s(literal -1/2 binary64) eps)) eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) eps) x (neg.f64 eps)) x (.f64 (.f64 #s(literal -1/2 binary64) eps) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 (fma.f64 #s(approx (+ (* 1/4 eps) (* 1/6 x)) (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))

soundness1.2s (7.6%)

Memory

-25.1MiB live, 14.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	305	6520
1	965	6420
2	2949	6191
3	7741	6181
0	8240	5880
0	334	4892
1	994	4764
2	2966	4678
0	8159	4447
0	47	348
0	75	348
1	274	344
2	2024	344
0	8767	344
0	222	2228
1	635	2215
2	1594	2192
3	4016	2191
0	9237	2107
0	25	105
0	39	105
1	134	105
2	849	105
0	8485	105
0	105	498
1	277	495
2	607	495
3	2403	494
4	7863	494
0	8013	474

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

Compiler

Compiled 271 to 200 computations (26.2% saved)

preprocess131.0ms (0.8%)

Memory: 15.9MiB live, 54.5MiB allocated
Compiler: Compiled 298 to 166 computations (44.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	18	41
1	38	37
2	81	35
3	152	35
4	278	35
5	370	35
6	448	35
7	485	35
8	531	35
9	546	35
10	554	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	41
1	38	37
2	81	35
3	152	35
4	278	35
5	370	35
6	448	35
7	485	35
8	531	35
9	546	35
10	554	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%)

analyze39.0ms (0.2%)

sample10.3s (64.5%)

explain208.0ms (1.3%)

preprocess24.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify9.0ms (0.1%)

localize99.0ms (0.6%)

series5.0ms (0%)

simplify188.0ms (1.2%)

rewrite229.0ms (1.4%)

eval49.0ms (0.3%)

prune92.0ms (0.6%)

simplify40.0ms (0.3%)

localize218.0ms (1.4%)

series19.0ms (0.1%)

simplify230.0ms (1.4%)

rewrite249.0ms (1.6%)

eval104.0ms (0.6%)

prune63.0ms (0.4%)

simplify468.0ms (2.9%)

localize323.0ms (2%)

series45.0ms (0.3%)

simplify158.0ms (1%)

rewrite172.0ms (1.1%)

eval95.0ms (0.6%)

prune75.0ms (0.5%)

simplify158.0ms (1%)

localize288.0ms (1.8%)

series60.0ms (0.4%)

simplify150.0ms (0.9%)

rewrite146.0ms (0.9%)

eval115.0ms (0.7%)

prune61.0ms (0.4%)

regimes24.0ms (0.1%)

regimes22.0ms (0.1%)

regimes21.0ms (0.1%)

regimes19.0ms (0.1%)

regimes17.0ms (0.1%)

regimes16.0ms (0.1%)

regimes12.0ms (0.1%)

regimes9.0ms (0.1%)

regimes6.0ms (0%)

regimes3.0ms (0%)

simplify22.0ms (0.1%)

soundness1.2s (7.6%)

preprocess131.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	18	41
1	38	37
2	81	35
3	152	35
4	278	35
5	370	35
6	448	35
7	485	35
8	531	35
9	546	35
10	554	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