Metrics for mixedcos

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze159.0ms (1.6%)

Memory

-7.6MiB live, 150.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	4
18.8%	18.7%	81.1%	0.1%	0%	0%	0%	5
28.1%	28.1%	71.8%	0.1%	0%	0%	0%	6
42.2%	42.1%	57.7%	0.1%	0%	0%	0%	7
49.2%	49.1%	50.7%	0.1%	0%	0%	0%	8
57.4%	57.3%	42.5%	0.1%	0%	0%	0%	9
67%	66.9%	33%	0.1%	0%	0%	0%	10
71.8%	71.7%	28.2%	0.1%	0%	0%	0%	11
76.9%	76.8%	23.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample1.7s (17.2%)

Memory

38.8MiB live, 2 108.0MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 916.0ms

ival-mult: 379.0ms (41.4% of total)

ival-cos: 284.0ms (31% of total)

ival-pow2: 189.0ms (20.6% of total)

ival-div: 48.0ms (5.2% of total)

ival-true: 7.0ms (0.8% of total)

exact: 5.0ms (0.5% of total)

ival-assert: 4.0ms (0.4% of total)

Bogosity

explain214.0ms (2.2%)

Memory

-29.0MiB live, 248.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
61	0	-	1	(-1828689360611831.0 8.135006161568751e-162 -1.210889463103515e+21)	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`
29	0	-	1	(-2.0968154271322932e+200 3.4709174985392117e+236 -1.0442113253508672e-155)	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`
23	0	-	0	-	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`
1	0	-	0	-	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
0	0	-	0	-	`(pow.f64 c #s(literal 2 binary64))`
0	0	-	0	-	`(*.f64 #s(literal 2 binary64) x)`
0	133	(9.231527248746514e+211 -2.0129894929330204e+83 2.1441335951598813e-210)	0	-	`(cos.f64 (*.f64 #s(literal 2 binary64) x))`
0	0	-	0	-	`s`
0	0	-	0	-	`c`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`x`
0	0	-	0	-	`(pow.f64 s #s(literal 2 binary64))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`cos.f64`	`(cos.f64 (*.f64 #s(literal 2 binary64) x))`	sensitivity	133	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*uo**	23	0
↳	`(pow.f64 c #s(literal 2 binary64))`	underflow	64
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	overflow	81
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	overflow	77
↳	`(pow.f64 s #s(literal 2 binary64))`	overflow	71
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*ou**	15	0
↳	`(pow.f64 c #s(literal 2 binary64))`	overflow	61
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	underflow	60
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	underflow	56
↳	`(pow.f64 s #s(literal 2 binary64))`	underflow	61
`*.f64`	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	*no**	14	0
`*.f64`	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	*nu**	14	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*nu**	13	0
`*.f64`	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	*nu**	12	0
`*.f64`	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	*no**	11	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*no**	9	0
`/.f64`	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`	n/o	1	0
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	overflow	81
↳	`(pow.f64 c #s(literal 2 binary64))`	overflow	61
↳	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	overflow	89
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	overflow	77
↳	`(pow.f64 s #s(literal 2 binary64))`	overflow	71

Confusion

	Predicted +	Predicted -
+	90	0
-	90	76

Precision

0.5

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	90	0	0
-	90	0	76

Precision?

0.5

Recall?

1.0

Freqs

test

number	freq
0	76
1	119
2	57
3	4

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

74.0ms

512×

valid

Compiler

Compiled 132 to 40 computations (69.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-cos: 27.0ms (50.8% of total)

ival-mult: 12.0ms (22.6% of total)

ival-pow2: 10.0ms (18.8% of total)

ival-div: 3.0ms (5.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess50.0ms (0.5%)

Memory

34.0MiB live, 70.5MiB allocated

Algorithm

1×	egg-herbie

Rules

1 052×	`distribute-neg-frac`
1 004×	`div-sub`
784×	`distribute-lft-neg-in`
688×	`unsub-neg`
676×	`distribute-frac-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	168
1	133	161
2	473	147
3	2282	147
4	5965	147
0	12	16
0	20	16
1	31	16
2	64	16
3	198	16
4	487	16
5	704	16
6	737	16
0	737	16

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))

Outputs

(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))

(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 s c)) (*.f64 x x)) (*.f64 s c))

Symmetry

(abs s)

(abs c)

(abs x)

(sort c s)

Compiler

Compiled 16 to 12 computations (25% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.8%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))

Compiler

Compiled 16 to 12 computations (25% saved)

simplify14.0ms (0.1%)

Memory

-19.5MiB live, 17.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(cos.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff	6144	(pow.f64 s #s(literal 2 binary64))
cost-diff	6144	(pow.f64 c #s(literal 2 binary64))

Rules

632×	`associate-/r*`
378×	`lower-/.f32`
376×	`lower-/.f64`
330×	`lower-*.f32`
322×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	56
0	20	56
1	31	56
2	64	56
3	198	56
4	487	56
5	704	56
6	737	56
0	737	56

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))
(pow.f64 c #s(literal 2 binary64))
c
(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)
(*.f64 x (pow.f64 s #s(literal 2 binary64)))
(pow.f64 s #s(literal 2 binary64))
s

Outputs
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 s c)) (.f64 x x)) (.f64 s c))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
x
(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))
(.f64 (.f64 (.f64 (.f64 c x) x) s) (*.f64 s c))
(pow.f64 c #s(literal 2 binary64))
(*.f64 c c)
c
(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)
(.f64 (.f64 (*.f64 s s) x) x)
(*.f64 x (pow.f64 s #s(literal 2 binary64)))
(.f64 (.f64 s s) x)
(pow.f64 s #s(literal 2 binary64))
(*.f64 s s)
s

localize45.0ms (0.5%)

Memory

4.2MiB live, 85.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.30992038210878814	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
accuracy	3.9490176016023457	(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)
accuracy	5.091996414748251	(*.f64 x (pow.f64 s #s(literal 2 binary64)))
accuracy	17.03885624804524	(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))

Samples

37.0ms

256×

valid

Compiler

Compiled 58 to 14 computations (75.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-cos: 13.0ms (51.1% of total)

ival-mult: 6.0ms (23.6% of total)

ival-pow2: 4.0ms (15.7% of total)

ival-div: 1.0ms (3.9% of total)

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

exact: 0.0ms (0% of total)

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

series29.0ms (0.3%)

Memory

22.2MiB live, 58.8MiB allocated

Counts

8 → 168

Calls

Call 1

Inputs
#s(alt (pow.f64 c #s(literal 2 binary64)) (patch (pow.f64 c #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 s #s(literal 2 binary64)) (patch (pow.f64 s #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (cos.f64 (.f64 #s(literal 2 binary64) x)) (patch (cos.f64 (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)) (patch (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)) #<representation binary64>) () ())
#s(alt (.f64 x (pow.f64 s #s(literal 2 binary64))) (patch (.f64 x (pow.f64 s #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x) (patch (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x) #<representation binary64>) () ())
#s(alt (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) (patch (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #<representation binary64>) () ())

Outputs
#s(alt 1 (taylor 0 x) (#s(alt (cos.f64 (.f64 #s(literal 2 binary64) x)) (patch (cos.f64 (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 (pow x 2))) (taylor 0 x) (#s(alt (cos.f64 (.f64 #s(literal 2 binary64) x)) (patch (cos.f64 (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) (taylor 0 x) (#s(alt (cos.f64 (.f64 #s(literal 2 binary64) x)) (patch (cos.f64 (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) (taylor 0 x) (#s(alt (cos.f64 (.f64 #s(literal 2 binary64) x)) (patch (cos.f64 (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)) (patch (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)) (patch (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)) (patch (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)) (patch (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) x) (taylor 0 x) (#s(alt (.f64 x (pow.f64 s #s(literal 2 binary64))) (patch (.f64 x (pow.f64 s #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) x) (taylor 0 x) (#s(alt (.f64 x (pow.f64 s #s(literal 2 binary64))) (patch (.f64 x (pow.f64 s #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) x) (taylor 0 x) (#s(alt (.f64 x (pow.f64 s #s(literal 2 binary64))) (patch (.f64 x (pow.f64 s #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) x) (taylor 0 x) (#s(alt (.f64 x (pow.f64 s #s(literal 2 binary64))) (patch (.f64 x (pow.f64 s #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x) (patch (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x) (patch (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x) (patch (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x) (patch (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) (patch (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) (patch (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) (patch (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) (patch (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #<representation binary64>) () ())) ())
#s(alt (cos (* 2 x)) (taylor inf x) (#s(alt (cos.f64 (.f64 #s(literal 2 binary64) x)) (patch (cos.f64 (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (cos (* 2 x)) (taylor inf x) (#s(alt (cos.f64 (.f64 #s(literal 2 binary64) x)) (patch (cos.f64 (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (cos (* 2 x)) (taylor inf x) (#s(alt (cos.f64 (.f64 #s(literal 2 binary64) x)) (patch (cos.f64 (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (cos (* 2 x)) (taylor inf x) (#s(alt (cos.f64 (.f64 #s(literal 2 binary64) x)) (patch (cos.f64 (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
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#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) (patch (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	s	@	inf	((pow c 2) (pow s 2) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))))
3.0ms	x	@	inf	((pow c 2) (pow s 2) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))))
3.0ms	x	@	0	((pow c 2) (pow s 2) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))))
2.0ms	s	@	0	((pow c 2) (pow s 2) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))))
2.0ms	x	@	-inf	((pow c 2) (pow s 2) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))))

simplify214.0ms (2.2%)

Memory

-30.5MiB live, 210.1MiB allocated

Algorithm

1×	egg-herbie

Rules

19 320×	`lower-fma.f64`
19 320×	`lower-fma.f32`
5 250×	`lower-*.f64`
5 250×	`lower-*.f32`
2 472×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	1512
1	117	1512
2	383	1498
3	1949	1488
4	4763	1480
5	6909	1480
0	8006	1468

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow s 2) x)
(.f64 (.f64 s s) x)
(* (pow s 2) x)
(.f64 (.f64 s s) x)
(* (pow s 2) x)
(.f64 (.f64 s s) x)
(* (pow s 2) x)
(.f64 (.f64 s s) x)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c)) (*.f64 x x))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 x x))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (/.f64 (/.f64 (/.f64 (/.f64 x s) c) s) c) (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c))) (*.f64 x x))
(cos (* 2 x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(cos (* 2 x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(cos (* 2 x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(cos (* 2 x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow s 2) x)
(.f64 (.f64 s s) x)
(* (pow s 2) x)
(.f64 (.f64 s s) x)
(* (pow s 2) x)
(.f64 (.f64 s s) x)
(* (pow s 2) x)
(.f64 (.f64 s s) x)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(cos (* 2 x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(cos (* 2 x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(cos (* 2 x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(cos (* 2 x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow s 2) x)
(.f64 (.f64 s s) x)
(* (pow s 2) x)
(.f64 (.f64 s s) x)
(* (pow s 2) x)
(.f64 (.f64 s s) x)
(* (pow s 2) x)
(.f64 (.f64 s s) x)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(pow s 2)
(*.f64 s s)
(pow s 2)
(*.f64 s s)
(pow s 2)
(*.f64 s s)
(pow s 2)
(*.f64 s s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow s 2) x)
(.f64 (.f64 s s) x)
(* (pow s 2) x)
(.f64 (.f64 s s) x)
(* (pow s 2) x)
(.f64 (.f64 s s) x)
(* (pow s 2) x)
(.f64 (.f64 s s) x)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(pow s 2)
(*.f64 s s)
(pow s 2)
(*.f64 s s)
(pow s 2)
(*.f64 s s)
(pow s 2)
(*.f64 s s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow s 2) x)
(.f64 (.f64 s s) x)
(* (pow s 2) x)
(.f64 (.f64 s s) x)
(* (pow s 2) x)
(.f64 (.f64 s s) x)
(* (pow s 2) x)
(.f64 (.f64 s s) x)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(pow s 2)
(*.f64 s s)
(pow s 2)
(*.f64 s s)
(pow s 2)
(*.f64 s s)
(pow s 2)
(*.f64 s s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow s 2) x)
(.f64 (.f64 s s) x)
(* (pow s 2) x)
(.f64 (.f64 s s) x)
(* (pow s 2) x)
(.f64 (.f64 s s) x)
(* (pow s 2) x)
(.f64 (.f64 s s) x)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)

rewrite207.0ms (2.1%)

Memory

11.4MiB live, 364.6MiB allocated

Rules

4 664×	`lower-/.f32`
4 662×	`lower-/.f64`
4 522×	`lower-*.f32`
4 514×	`lower-*.f64`
1 754×	`lower--.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	52
0	20	52
1	55	52
2	217	48
3	1946	42
0	8396	42

Stop Event

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

Counts

8 → 685

Calls

Call 1

Inputs
(pow.f64 c #s(literal 2 binary64))
(pow.f64 s #s(literal 2 binary64))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))
(*.f64 x (pow.f64 s #s(literal 2 binary64)))
(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))

Outputs
(*.f64 (pow.f64 (pow.f64 c #s(literal 3/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 c))
(*.f64 (pow.f64 c #s(literal 3/2 binary64)) (sqrt.f64 c))
(*.f64 (sqrt.f64 c) (pow.f64 (pow.f64 c #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 c) (pow.f64 c #s(literal 3/2 binary64)))
(*.f64 c c)
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 c))
(pow.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 c))
(pow.f64 (sqrt.f64 c) #s(literal 4 binary64))
(pow.f64 (*.f64 c c) #s(literal 1 binary64))
(pow.f64 c #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 c)))
(exp.f64 (*.f64 (log.f64 c) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 s #s(literal 3/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 s))
(*.f64 (pow.f64 s #s(literal 3/2 binary64)) (sqrt.f64 s))
(*.f64 (sqrt.f64 s) (pow.f64 (pow.f64 s #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 s) (pow.f64 s #s(literal 3/2 binary64)))
(*.f64 s s)
(pow.f64 (.f64 (.f64 s s) (*.f64 s s)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 s))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 s))
(pow.f64 (sqrt.f64 s) #s(literal 4 binary64))
(pow.f64 (*.f64 s s) #s(literal 1 binary64))
(pow.f64 s #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 s)))
(exp.f64 (*.f64 (log.f64 s) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (sin.f64 x) (cos.f64 x)))
(.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (.f64 (-.f64 (cos.f64 x) (sin.f64 x)) #s(literal 1 binary64)))
(*.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64))) (pow.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (.f64 x #s(literal 2 binary64)))))
(.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))
(.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (-.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (+.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 12 binary64)) (pow.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 8 binary64)) (-.f64 (.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 12 binary64)) (pow.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 8 binary64)) (-.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) (.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 8 binary64)) (pow.f64 (sin.f64 x) #s(literal 8 binary64)))) (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 12 binary64)) (pow.f64 (sin.f64 x) #s(literal 12 binary64)))) (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 8 binary64)) (+.f64 (pow.f64 (sin.f64 x) #s(literal 8 binary64)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 x)) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (*.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(literal 8 binary64))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(literal 8 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) #s(literal 8 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) #s(literal 8 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(literal 16 binary64))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64)))
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(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))))) (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (.f64 x (*.f64 c s)) #s(literal 2 binary64))))))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) c) #s(literal 2 binary64)) (pow.f64 (*.f64 x s) #s(literal 2 binary64))))
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(-.f64 (/.f64 (pow.f64 (/.f64 (cos.f64 x) c) #s(literal 2 binary64)) (pow.f64 (.f64 x s) #s(literal 2 binary64))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) c) #s(literal 2 binary64)) (pow.f64 (.f64 x s) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 (cos.f64 (.f64 x #s(literal 2 binary64)))) (pow.f64 (.f64 x (*.f64 c s)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (cos.f64 (.f64 x #s(literal 2 binary64)))) (pow.f64 (.f64 x (*.f64 c s)) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)) (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
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(+.f64 (/.f64 (pow.f64 (/.f64 (cos.f64 x) c) #s(literal 2 binary64)) (pow.f64 (.f64 x s) #s(literal 2 binary64))) (.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (.f64 c s) #s(literal -2 binary64)))))
(+.f64 (/.f64 (pow.f64 (/.f64 (cos.f64 x) c) #s(literal 2 binary64)) (pow.f64 (.f64 x s) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) c) #s(literal 2 binary64)) (pow.f64 (.f64 x s) #s(literal 2 binary64)))))

eval143.0ms (1.4%)

Memory: 23.9MiB live, 350.7MiB allocated
Compiler: Compiled 23 459 to 2 481 computations (89.4% saved)

prune77.0ms (0.8%)

Memory

-34.9MiB live, 121.4MiB allocated

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	828	25	853
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	829	25	854

Accuracy

100.0%

Counts

854 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	88.2%	(/.f64 (/.f64 (pow.f64 (.f64 c s) #s(literal -2 binary64)) x) (/.f64 x (cos.f64 (.f64 x #s(literal 2 binary64)))))
	83.2%	(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (.f64 x s) #s(literal 2 binary64))) c) c)
	71.6%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (.f64 x s) #s(literal 2 binary64))) (*.f64 c c))
	83.1%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c)) c)
▶	88.4%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) x) (.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))
	97.8%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (.f64 (pow.f64 (.f64 x (*.f64 c s)) #s(literal 2 binary64)) #s(literal 2 binary64)))
	26.5%	(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) c) (.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) c)) (.f64 (.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) c) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) c))) (.f64 (.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) c) (.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c)))
	11.0%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) c) (.f64 (neg.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) (/.f64 (neg.f64 (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) c)))) (.f64 (neg.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) c))
	97.8%	(/.f64 (-.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))))
	88.2%	(/.f64 (.f64 (/.f64 (pow.f64 (.f64 c s) #s(literal -2 binary64)) x) (cos.f64 (*.f64 x #s(literal 2 binary64)))) x)
	97.8%	(/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (.f64 x (*.f64 c s)) #s(literal 2 binary64)))
	77.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) (.f64 s s)))
	83.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) c) c))
	88.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x))
	72.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 c c)) s) (.f64 x s)))
	77.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 (.f64 x (.f64 s s)) c)))
	96.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))))
	83.1%	(.f64 (pow.f64 (.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) c) #s(literal -1 binary64)) (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) c))
▶	75.6%	(.f64 (pow.f64 c #s(literal -1 binary64)) (pow.f64 (.f64 (.f64 (.f64 x (.f64 s s)) c) (/.f64 x (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
▶	97.9%	(.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) (neg.f64 (cos.f64 (.f64 x #s(literal 2 binary64)))))
	71.9%	(exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)) (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
▶	63.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s)))
▶	75.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s))
	46.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c)) (*.f64 x x)))
	42.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 x x)))

Compiler

Compiled 914 to 650 computations (28.9% saved)

simplify110.0ms (1.1%)

Memory

28.2MiB live, 206.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (.f64 x (.f64 s s)) c) (/.f64 x (cos.f64 (*.f64 x #s(literal 2 binary64)))))
cost-diff	0	(pow.f64 c #s(literal -1 binary64))
cost-diff	1344	(.f64 (pow.f64 c #s(literal -1 binary64)) (pow.f64 (.f64 (.f64 (.f64 x (.f64 s s)) c) (/.f64 x (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
cost-diff	6080	(pow.f64 (.f64 (.f64 (.f64 x (.f64 s s)) c) (/.f64 x (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))
cost-diff	0	(*.f64 x #s(literal 2 binary64))
cost-diff	0	(cos.f64 (*.f64 x #s(literal 2 binary64)))
cost-diff	0	(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) x)
cost-diff	704	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) x) (.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))
cost-diff	0	(cos.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff	0	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x))
cost-diff	0	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c))
cost-diff	0	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
cost-diff	0	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c)
cost-diff	0	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s)))
cost-diff	0	(.f64 x (.f64 c s))
cost-diff	0	(pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))
cost-diff	0	(/.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)))
cost-diff	448	(.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) (neg.f64 (cos.f64 (.f64 x #s(literal 2 binary64)))))

Rules

4 780×	`lower-fma.f64`
4 780×	`lower-fma.f32`
4 328×	`lower-*.f32`
4 298×	`lower-*.f64`
2 314×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	351
0	82	346
1	154	322
2	342	312
3	1184	312
4	5119	312
0	8108	312

Stop Event

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

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) (neg.f64 (cos.f64 (.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)))
#s(literal -1 binary64)
(pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))
(.f64 x (.f64 c s))
x
(*.f64 c s)
c
s
#s(literal 2 binary64)
(neg.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))))
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s)))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c)
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
c
(.f64 (.f64 s c) s)
(*.f64 s c)
s
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 x x)
(.f64 (.f64 s c) c)
(*.f64 s c)
s
c
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) x) (.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) x)
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x)
(pow.f64 (*.f64 s c) #s(literal 2 binary64))
(*.f64 s c)
s
c
(.f64 (pow.f64 c #s(literal -1 binary64)) (pow.f64 (.f64 (.f64 (.f64 x (.f64 s s)) c) (/.f64 x (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
(pow.f64 c #s(literal -1 binary64))
c
#s(literal -1 binary64)
(pow.f64 (.f64 (.f64 (.f64 x (.f64 s s)) c) (/.f64 x (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))
(.f64 (.f64 (.f64 x (.f64 s s)) c) (/.f64 x (cos.f64 (*.f64 x #s(literal 2 binary64)))))
(.f64 (.f64 x (*.f64 s s)) c)
(.f64 x (.f64 s s))
x
(*.f64 s s)
s
(/.f64 x (cos.f64 (*.f64 x #s(literal 2 binary64))))
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
(.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) (neg.f64 (cos.f64 (.f64 x #s(literal 2 binary64)))))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 c x) s) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64)))
#s(literal -1 binary64)
(pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64))
(.f64 x (.f64 c s))
(.f64 (.f64 c x) s)
x
(*.f64 c s)
(*.f64 s c)
c
s
#s(literal 2 binary64)
(neg.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))))
(neg.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)))
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s))
(/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c)
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
c
(.f64 (.f64 s c) s)
(*.f64 s c)
s
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 c x) s) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 c x) s) #s(literal 2 binary64)))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 x x)
(.f64 (.f64 s c) c)
(*.f64 s c)
s
c
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) x) (.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 c x) s) #s(literal 2 binary64)))
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) x)
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) x)
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
x
#s(literal 2 binary64)
(.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x)
(pow.f64 (*.f64 s c) #s(literal 2 binary64))
(*.f64 s c)
s
c
(.f64 (pow.f64 c #s(literal -1 binary64)) (pow.f64 (.f64 (.f64 (.f64 x (.f64 s s)) c) (/.f64 x (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 c x) s) #s(literal 2 binary64)))
(pow.f64 c #s(literal -1 binary64))
c
#s(literal -1 binary64)
(pow.f64 (.f64 (.f64 (.f64 x (.f64 s s)) c) (/.f64 x (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) s))
(.f64 (.f64 (.f64 x (.f64 s s)) c) (/.f64 x (cos.f64 (*.f64 x #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 (.f64 (.f64 s s) x) c) x) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
(.f64 (.f64 x (*.f64 s s)) c)
(.f64 (.f64 (*.f64 s s) x) c)
(.f64 x (.f64 s s))
(.f64 (.f64 s s) x)
x
(*.f64 s s)
s
(/.f64 x (cos.f64 (*.f64 x #s(literal 2 binary64))))
(/.f64 x (cos.f64 (*.f64 #s(literal 2 binary64) x)))
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)

localize164.0ms (1.7%)

Memory

12.0MiB live, 410.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	3.1474335542839644	(.f64 (.f64 (.f64 x (.f64 s s)) c) (/.f64 x (cos.f64 (*.f64 x #s(literal 2 binary64)))))
accuracy	4.476734250046063	(.f64 (pow.f64 c #s(literal -1 binary64)) (pow.f64 (.f64 (.f64 (.f64 x (.f64 s s)) c) (/.f64 x (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
accuracy	5.091996414748251	(.f64 x (.f64 s s))
accuracy	7.840437137202839	(.f64 (.f64 x (*.f64 s s)) c)
accuracy	0.1171875	(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) x)
accuracy	0.24609375	(pow.f64 (*.f64 s c) #s(literal 2 binary64))
accuracy	3.1581508257060413	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) x) (.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))
accuracy	4.170951616640918	(.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x)
accuracy	0.14453125	(.f64 (.f64 s c) c)
accuracy	0.6641326169435124	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x))
accuracy	4.752188698485349	(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
accuracy	13.092545540912928	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c))
accuracy	0.1484375	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
accuracy	7.425050990570776	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c)
accuracy	10.450767865732685	(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s))
accuracy	12.553971775447522	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s)))
accuracy	0.078125	(.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) (neg.f64 (cos.f64 (.f64 x #s(literal 2 binary64)))))
accuracy	0.209316259768442	(pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))
accuracy	0.29867145018388197	(/.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)))
accuracy	3.7791077173444987	(.f64 x (.f64 c s))

Samples

123.0ms

256×

valid

Compiler

Compiled 322 to 47 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-mult: 27.0ms (27.7% of total)

ival-pow: 20.0ms (20.5% of total)

ival-div: 17.0ms (17.5% of total)

ival-cos: 16.0ms (16.4% of total)

ival-pow2: 10.0ms (10.3% of total)

ival-neg: 5.0ms (5.1% of total)

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

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

exact: 0.0ms (0% of total)

series182.0ms (1.8%)

Memory

-1.0MiB live, 233.8MiB allocated

Counts

27 → 732

Calls

Call 1

Inputs
#s(alt (.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) (neg.f64 (cos.f64 (.f64 x #s(literal 2 binary64))))) (patch (.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) (neg.f64 (cos.f64 (.f64 x #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) (patch (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)) (patch (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 c s)) (patch (.f64 x (.f64 c s)) #<representation binary64>) () ())
#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (patch (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) (patch (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) #<representation binary64>) () ())
#s(alt (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (patch (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) #<representation binary64>) () ())
#s(alt (cos.f64 (.f64 #s(literal 2 binary64) x)) (patch (cos.f64 (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) x) (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x)) (patch (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) x) (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x)) #<representation binary64>) () ())
#s(alt (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) x) (patch (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) x) #<representation binary64>) () ())
#s(alt (cos.f64 (.f64 x #s(literal 2 binary64))) (patch (cos.f64 (.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 (.f64 (.f64 x (.f64 s s)) c) (/.f64 x (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)) (patch (pow.f64 (.f64 (.f64 (.f64 x (.f64 s s)) c) (/.f64 x (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 c #s(literal -1 binary64)) (pow.f64 (.f64 (.f64 (.f64 x (.f64 s s)) c) (/.f64 x (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))) (patch (.f64 (pow.f64 c #s(literal -1 binary64)) (pow.f64 (.f64 (.f64 (.f64 x (.f64 s s)) c) (/.f64 x (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 c #s(literal -1 binary64)) (patch (pow.f64 c #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 x (.f64 s s)) c) (/.f64 x (cos.f64 (.f64 x #s(literal 2 binary64))))) (patch (.f64 (.f64 (.f64 x (.f64 s s)) c) (/.f64 x (cos.f64 (.f64 x #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s)) (patch (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s) (patch (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s) #<representation binary64>) () ())
#s(alt (.f64 (.f64 s c) c) (patch (.f64 (.f64 s c) c) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) (patch (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 s c) #s(literal 2 binary64)) (patch (pow.f64 (.f64 s c) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x (.f64 s s)) c) (patch (.f64 (.f64 x (.f64 s s)) c) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 s s)) (patch (.f64 x (.f64 s s)) #<representation binary64>) () ())

Outputs
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) (neg.f64 (cos.f64 (.f64 x #s(literal 2 binary64))))) (patch (.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) (neg.f64 (cos.f64 (.f64 x #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) (neg.f64 (cos.f64 (.f64 x #s(literal 2 binary64))))) (patch (.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) (neg.f64 (cos.f64 (.f64 x #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) (neg.f64 (cos.f64 (.f64 x #s(literal 2 binary64))))) (patch (.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) (neg.f64 (cos.f64 (.f64 x #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) (neg.f64 (cos.f64 (.f64 x #s(literal 2 binary64))))) (patch (.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) (neg.f64 (cos.f64 (.f64 x #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) (patch (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) (patch (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) (patch (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) (patch (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)) (patch (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)) (patch (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)) (patch (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)) (patch (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (* s x)) (taylor 0 x) (#s(alt (.f64 x (.f64 c s)) (patch (.f64 x (.f64 c s)) #<representation binary64>) () ())) ())
#s(alt (* c (* s x)) (taylor 0 x) (#s(alt (.f64 x (.f64 c s)) (patch (.f64 x (.f64 c s)) #<representation binary64>) () ())) ())
#s(alt (* c (* s x)) (taylor 0 x) (#s(alt (.f64 x (.f64 c s)) (patch (.f64 x (.f64 c s)) #<representation binary64>) () ())) ())
#s(alt (* c (* s x)) (taylor 0 x) (#s(alt (.f64 x (.f64 c s)) (patch (.f64 x (.f64 c s)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* c (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (patch (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* c (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (patch (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* c (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (patch (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* c (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (patch (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (* s (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) (patch (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) s))) (/ 1 (* (pow c 2) s))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) (patch (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) s))) (* 2 (/ 1 (* (pow c 2) s))))) (/ 1 (* (pow c 2) s))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) (patch (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) s))) (* 2/3 (/ 1 (* (pow c 2) s))))) (* 2 (/ 1 (* (pow c 2) s))))) (/ 1 (* (pow c 2) s))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) (patch (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (patch (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -2 (pow x 2))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (patch (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (patch (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (patch (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (cos.f64 (.f64 #s(literal 2 binary64) x)) (patch (cos.f64 (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 (pow x 2))) (taylor 0 x) (#s(alt (cos.f64 (.f64 #s(literal 2 binary64) x)) (patch (cos.f64 (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) (taylor 0 x) (#s(alt (cos.f64 (.f64 #s(literal 2 binary64) x)) (patch (cos.f64 (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) (taylor 0 x) (#s(alt (cos.f64 (.f64 #s(literal 2 binary64) x)) (patch (cos.f64 (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
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#s(alt (/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (pow.f64 (.f64 (.f64 (.f64 x (.f64 s s)) c) (/.f64 x (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)) (patch (pow.f64 (.f64 (.f64 (.f64 x (.f64 s s)) c) (/.f64 x (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (pow.f64 (.f64 (.f64 (.f64 x (.f64 s s)) c) (/.f64 x (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)) (patch (pow.f64 (.f64 (.f64 (.f64 x (.f64 s s)) c) (/.f64 x (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (pow.f64 (.f64 (.f64 (.f64 x (.f64 s s)) c) (/.f64 x (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)) (patch (pow.f64 (.f64 (.f64 (.f64 x (.f64 s s)) c) (/.f64 x (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (.f64 (pow.f64 c #s(literal -1 binary64)) (pow.f64 (.f64 (.f64 (.f64 x (.f64 s s)) c) (/.f64 x (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))) (patch (.f64 (pow.f64 c #s(literal -1 binary64)) (pow.f64 (.f64 (.f64 (.f64 x (.f64 s s)) c) (/.f64 x (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (.f64 (pow.f64 c #s(literal -1 binary64)) (pow.f64 (.f64 (.f64 (.f64 x (.f64 s s)) c) (/.f64 x (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))) (patch (.f64 (pow.f64 c #s(literal -1 binary64)) (pow.f64 (.f64 (.f64 (.f64 x (.f64 s s)) c) (/.f64 x (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (.f64 (pow.f64 c #s(literal -1 binary64)) (pow.f64 (.f64 (.f64 (.f64 x (.f64 s s)) c) (/.f64 x (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))) (patch (.f64 (pow.f64 c #s(literal -1 binary64)) (pow.f64 (.f64 (.f64 (.f64 x (.f64 s s)) c) (/.f64 x (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (.f64 (pow.f64 c #s(literal -1 binary64)) (pow.f64 (.f64 (.f64 (.f64 x (.f64 s s)) c) (/.f64 x (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))) (patch (.f64 (pow.f64 c #s(literal -1 binary64)) (pow.f64 (.f64 (.f64 (.f64 x (.f64 s s)) c) (/.f64 x (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 c) (taylor -inf c) (#s(alt (pow.f64 c #s(literal -1 binary64)) (patch (pow.f64 c #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 c) (taylor -inf c) (#s(alt (pow.f64 c #s(literal -1 binary64)) (patch (pow.f64 c #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 c) (taylor -inf c) (#s(alt (pow.f64 c #s(literal -1 binary64)) (patch (pow.f64 c #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 c) (taylor -inf c) (#s(alt (pow.f64 c #s(literal -1 binary64)) (patch (pow.f64 c #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (* c (* (pow s 2) (pow x 2))) (cos (* 2 x))) (taylor -inf c) (#s(alt (.f64 (.f64 (.f64 x (.f64 s s)) c) (/.f64 x (cos.f64 (.f64 x #s(literal 2 binary64))))) (patch (.f64 (.f64 (.f64 x (.f64 s s)) c) (/.f64 x (cos.f64 (.f64 x #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (* c (* (pow s 2) (pow x 2))) (cos (* 2 x))) (taylor -inf c) (#s(alt (.f64 (.f64 (.f64 x (.f64 s s)) c) (/.f64 x (cos.f64 (.f64 x #s(literal 2 binary64))))) (patch (.f64 (.f64 (.f64 x (.f64 s s)) c) (/.f64 x (cos.f64 (.f64 x #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (* c (* (pow s 2) (pow x 2))) (cos (* 2 x))) (taylor -inf c) (#s(alt (.f64 (.f64 (.f64 x (.f64 s s)) c) (/.f64 x (cos.f64 (.f64 x #s(literal 2 binary64))))) (patch (.f64 (.f64 (.f64 x (.f64 s s)) c) (/.f64 x (cos.f64 (.f64 x #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (* c (* (pow s 2) (pow x 2))) (cos (* 2 x))) (taylor -inf c) (#s(alt (.f64 (.f64 (.f64 x (.f64 s s)) c) (/.f64 x (cos.f64 (.f64 x #s(literal 2 binary64))))) (patch (.f64 (.f64 (.f64 x (.f64 s s)) c) (/.f64 x (cos.f64 (.f64 x #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s)) (patch (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s)) (patch (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s)) (patch (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s)) (patch (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s)) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s) (patch (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s) (patch (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s) (patch (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s) (patch (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) s) (taylor -inf c) (#s(alt (.f64 (.f64 s c) c) (patch (.f64 (.f64 s c) c) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) s) (taylor -inf c) (#s(alt (.f64 (.f64 s c) c) (patch (.f64 (.f64 s c) c) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) s) (taylor -inf c) (#s(alt (.f64 (.f64 s c) c) (patch (.f64 (.f64 s c) c) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) s) (taylor -inf c) (#s(alt (.f64 (.f64 s c) c) (patch (.f64 (.f64 s c) c) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor -inf c) (#s(alt (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) (patch (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor -inf c) (#s(alt (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) (patch (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor -inf c) (#s(alt (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) (patch (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor -inf c) (#s(alt (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) (patch (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (pow s 2)) (taylor -inf c) (#s(alt (pow.f64 (.f64 s c) #s(literal 2 binary64)) (patch (pow.f64 (.f64 s c) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (pow s 2)) (taylor -inf c) (#s(alt (pow.f64 (.f64 s c) #s(literal 2 binary64)) (patch (pow.f64 (.f64 s c) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (pow s 2)) (taylor -inf c) (#s(alt (pow.f64 (.f64 s c) #s(literal 2 binary64)) (patch (pow.f64 (.f64 s c) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (pow s 2)) (taylor -inf c) (#s(alt (pow.f64 (.f64 s c) #s(literal 2 binary64)) (patch (pow.f64 (.f64 s c) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) x)) (taylor -inf c) (#s(alt (.f64 (.f64 x (.f64 s s)) c) (patch (.f64 (.f64 x (.f64 s s)) c) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) x)) (taylor -inf c) (#s(alt (.f64 (.f64 x (.f64 s s)) c) (patch (.f64 (.f64 x (.f64 s s)) c) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) x)) (taylor -inf c) (#s(alt (.f64 (.f64 x (.f64 s s)) c) (patch (.f64 (.f64 x (.f64 s s)) c) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) x)) (taylor -inf c) (#s(alt (.f64 (.f64 x (.f64 s s)) c) (patch (.f64 (.f64 x (.f64 s s)) c) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
42.0ms	x	@	inf	((* (/ -1 (pow (* x (* c s)) 2)) (neg (cos (* x 2)))) (/ -1 (pow (* x (* c s)) 2)) (pow (* x (* c s)) 2) (* x (* c s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ 1 x) x) c) (/ (/ 1 x) x) (/ 1 x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (cos (* 2 x)) (* x x)) (* (* s c) c)) (/ (cos (* 2 x)) (* x x)) (cos (* 2 x)) (/ (/ (cos (* x 2)) x) (* (pow (* s c) 2) x)) (/ (cos (* x 2)) x) (cos (* x 2)) (* x 2) (pow (* (* (* x (* s s)) c) (/ x (cos (* x 2)))) -1) (* (pow c -1) (pow (* (* (* x (* s s)) c) (/ x (cos (* x 2)))) -1)) (pow c -1) (* (* (* x (* s s)) c) (/ x (cos (* x 2)))) (/ (/ (/ (/ 1 x) x) c) (* (* s c) s)) (/ (/ (/ (cos (* 2 x)) (* x x)) (* (* s c) c)) s) (* (* s c) c) (* (pow (* s c) 2) x) (pow (* s c) 2) (* (* x (* s s)) c) (* x (* s s)))
42.0ms	c	@	0	((* (/ -1 (pow (* x (* c s)) 2)) (neg (cos (* x 2)))) (/ -1 (pow (* x (* c s)) 2)) (pow (* x (* c s)) 2) (* x (* c s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ 1 x) x) c) (/ (/ 1 x) x) (/ 1 x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (cos (* 2 x)) (* x x)) (* (* s c) c)) (/ (cos (* 2 x)) (* x x)) (cos (* 2 x)) (/ (/ (cos (* x 2)) x) (* (pow (* s c) 2) x)) (/ (cos (* x 2)) x) (cos (* x 2)) (* x 2) (pow (* (* (* x (* s s)) c) (/ x (cos (* x 2)))) -1) (* (pow c -1) (pow (* (* (* x (* s s)) c) (/ x (cos (* x 2)))) -1)) (pow c -1) (* (* (* x (* s s)) c) (/ x (cos (* x 2)))) (/ (/ (/ (/ 1 x) x) c) (* (* s c) s)) (/ (/ (/ (cos (* 2 x)) (* x x)) (* (* s c) c)) s) (* (* s c) c) (* (pow (* s c) 2) x) (pow (* s c) 2) (* (* x (* s s)) c) (* x (* s s)))
30.0ms	s	@	inf	((* (/ -1 (pow (* x (* c s)) 2)) (neg (cos (* x 2)))) (/ -1 (pow (* x (* c s)) 2)) (pow (* x (* c s)) 2) (* x (* c s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ 1 x) x) c) (/ (/ 1 x) x) (/ 1 x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (cos (* 2 x)) (* x x)) (* (* s c) c)) (/ (cos (* 2 x)) (* x x)) (cos (* 2 x)) (/ (/ (cos (* x 2)) x) (* (pow (* s c) 2) x)) (/ (cos (* x 2)) x) (cos (* x 2)) (* x 2) (pow (* (* (* x (* s s)) c) (/ x (cos (* x 2)))) -1) (* (pow c -1) (pow (* (* (* x (* s s)) c) (/ x (cos (* x 2)))) -1)) (pow c -1) (* (* (* x (* s s)) c) (/ x (cos (* x 2)))) (/ (/ (/ (/ 1 x) x) c) (* (* s c) s)) (/ (/ (/ (cos (* 2 x)) (* x x)) (* (* s c) c)) s) (* (* s c) c) (* (pow (* s c) 2) x) (pow (* s c) 2) (* (* x (* s s)) c) (* x (* s s)))
8.0ms	c	@	-inf	((* (/ -1 (pow (* x (* c s)) 2)) (neg (cos (* x 2)))) (/ -1 (pow (* x (* c s)) 2)) (pow (* x (* c s)) 2) (* x (* c s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ 1 x) x) c) (/ (/ 1 x) x) (/ 1 x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (cos (* 2 x)) (* x x)) (* (* s c) c)) (/ (cos (* 2 x)) (* x x)) (cos (* 2 x)) (/ (/ (cos (* x 2)) x) (* (pow (* s c) 2) x)) (/ (cos (* x 2)) x) (cos (* x 2)) (* x 2) (pow (* (* (* x (* s s)) c) (/ x (cos (* x 2)))) -1) (* (pow c -1) (pow (* (* (* x (* s s)) c) (/ x (cos (* x 2)))) -1)) (pow c -1) (* (* (* x (* s s)) c) (/ x (cos (* x 2)))) (/ (/ (/ (/ 1 x) x) c) (* (* s c) s)) (/ (/ (/ (cos (* 2 x)) (* x x)) (* (* s c) c)) s) (* (* s c) c) (* (pow (* s c) 2) x) (pow (* s c) 2) (* (* x (* s s)) c) (* x (* s s)))
6.0ms	x	@	-inf	((* (/ -1 (pow (* x (* c s)) 2)) (neg (cos (* x 2)))) (/ -1 (pow (* x (* c s)) 2)) (pow (* x (* c s)) 2) (* x (* c s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ 1 x) x) c) (/ (/ 1 x) x) (/ 1 x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (cos (* 2 x)) (* x x)) (* (* s c) c)) (/ (cos (* 2 x)) (* x x)) (cos (* 2 x)) (/ (/ (cos (* x 2)) x) (* (pow (* s c) 2) x)) (/ (cos (* x 2)) x) (cos (* x 2)) (* x 2) (pow (* (* (* x (* s s)) c) (/ x (cos (* x 2)))) -1) (* (pow c -1) (pow (* (* (* x (* s s)) c) (/ x (cos (* x 2)))) -1)) (pow c -1) (* (* (* x (* s s)) c) (/ x (cos (* x 2)))) (/ (/ (/ (/ 1 x) x) c) (* (* s c) s)) (/ (/ (/ (cos (* 2 x)) (* x x)) (* (* s c) c)) s) (* (* s c) c) (* (pow (* s c) 2) x) (pow (* s c) 2) (* (* x (* s s)) c) (* x (* s s)))

simplify325.0ms (3.3%)

Memory

-9.5MiB live, 209.4MiB allocated

Algorithm

1×	egg-herbie

Rules

14 416×	`lower-fma.f64`
14 416×	`lower-fma.f32`
6 112×	`lower-*.f64`
6 112×	`lower-*.f32`
3 432×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	8784
1	391	8773
2	1412	8651
3	4409	8648
0	8051	8570

Stop Event

1×	iter limit
1×	node limit

Counts

732 → 732

Calls

Call 1

Inputs
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ -1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ 1 (* (pow c 2) (* s (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) s))) (/ 1 (* (pow c 2) s))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) s))) (* 2 (/ 1 (* (pow c 2) s))))) (/ 1 (* (pow c 2) s))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) s))) (* 2/3 (/ 1 (* (pow c 2) s))))) (* 2 (/ 1 (* (pow c 2) s))))) (/ 1 (* (pow c 2) s))) (pow x 2))
(/ 1 (pow x 2))
(/ (+ 1 (* -2 (pow x 2))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) (pow x 2))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
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(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (* c (* (pow s 2) (pow x 2))) (cos (* 2 x)))
(/ (* c (* (pow s 2) (pow x 2))) (cos (* 2 x)))
(/ (* c (* (pow s 2) (pow x 2))) (cos (* 2 x)))
(/ (* c (* (pow s 2) (pow x 2))) (cos (* 2 x)))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) s)
(* (pow c 2) s)
(* (pow c 2) s)
(* (pow c 2) s)
(* (pow c 2) (* (pow s 2) x))
(* (pow c 2) (* (pow s 2) x))
(* (pow c 2) (* (pow s 2) x))
(* (pow c 2) (* (pow s 2) x))
(* (pow c 2) (pow s 2))
(* (pow c 2) (pow s 2))
(* (pow c 2) (pow s 2))
(* (pow c 2) (pow s 2))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* s (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* s (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* s (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* s (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ (* c (* (pow s 2) (pow x 2))) (cos (* 2 x)))
(/ (* c (* (pow s 2) (pow x 2))) (cos (* 2 x)))
(/ (* c (* (pow s 2) (pow x 2))) (cos (* 2 x)))
(/ (* c (* (pow s 2) (pow x 2))) (cos (* 2 x)))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) s)
(* (pow c 2) s)
(* (pow c 2) s)
(* (pow c 2) s)
(* (pow c 2) (* (pow s 2) x))
(* (pow c 2) (* (pow s 2) x))
(* (pow c 2) (* (pow s 2) x))
(* (pow c 2) (* (pow s 2) x))
(* (pow c 2) (pow s 2))
(* (pow c 2) (pow s 2))
(* (pow c 2) (pow s 2))
(* (pow c 2) (pow s 2))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* s (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* s (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* s (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* s (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ (* c (* (pow s 2) (pow x 2))) (cos (* 2 x)))
(/ (* c (* (pow s 2) (pow x 2))) (cos (* 2 x)))
(/ (* c (* (pow s 2) (pow x 2))) (cos (* 2 x)))
(/ (* c (* (pow s 2) (pow x 2))) (cos (* 2 x)))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) s)
(* (pow c 2) s)
(* (pow c 2) s)
(* (pow c 2) s)
(* (pow c 2) (* (pow s 2) x))
(* (pow c 2) (* (pow s 2) x))
(* (pow c 2) (* (pow s 2) x))
(* (pow c 2) (* (pow s 2) x))
(* (pow c 2) (pow s 2))
(* (pow c 2) (pow s 2))
(* (pow c 2) (pow s 2))
(* (pow c 2) (pow s 2))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* s (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* s (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* s (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* s (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ (* c (* (pow s 2) (pow x 2))) (cos (* 2 x)))
(/ (* c (* (pow s 2) (pow x 2))) (cos (* 2 x)))
(/ (* c (* (pow s 2) (pow x 2))) (cos (* 2 x)))
(/ (* c (* (pow s 2) (pow x 2))) (cos (* 2 x)))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) s)
(* (pow c 2) s)
(* (pow c 2) s)
(* (pow c 2) s)
(* (pow c 2) (* (pow s 2) x))
(* (pow c 2) (* (pow s 2) x))
(* (pow c 2) (* (pow s 2) x))
(* (pow c 2) (* (pow s 2) x))
(* (pow c 2) (pow s 2))
(* (pow c 2) (pow s 2))
(* (pow c 2) (pow s 2))
(* (pow c 2) (pow s 2))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))

Outputs
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) c) x) (.f64 (.f64 x s) s))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (.f64 s c)) (/.f64 (/.f64 (.f64 x x) c) s) (/.f64 (/.f64 #s(literal 1 binary64) s) (.f64 s (.f64 c c)))) (*.f64 x x))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) (.f64 s (.f64 c c))) (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64))) (.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) s) (.f64 s (.f64 c c)))) (.f64 x x))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (/.f64 x c) s) (/.f64 (/.f64 x c) s)) (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (/.f64 (/.f64 #s(literal -2 binary64) (.f64 s (.f64 c c))) s)) (.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) s) (.f64 s (.f64 c c)))) (.f64 x x))
(/ -1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s s) c)) c) x) x)
(/ -1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s s) c)) c) x) x)
(/ -1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s s) c)) c) x) x)
(/ -1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s s) c)) c) x) x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 x s) c) (.f64 (*.f64 x s) c))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 x s) c) (.f64 (*.f64 x s) c))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 x s) c) (.f64 (*.f64 x s) c))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 x s) c) (.f64 (*.f64 x s) c))
(* c (* s x))
(.f64 (.f64 x s) c)
(* c (* s x))
(.f64 (.f64 x s) c)
(* c (* s x))
(.f64 (.f64 x s) c)
(* c (* s x))
(.f64 (.f64 x s) c)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) c) x) (.f64 (.f64 x s) s))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (.f64 s c)) (/.f64 (/.f64 (.f64 x x) c) s) (/.f64 (/.f64 #s(literal 1 binary64) s) (.f64 s (.f64 c c)))) (*.f64 x x))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) (.f64 s (.f64 c c))) (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64))) (.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) s) (.f64 s (.f64 c c)))) (.f64 x x))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (/.f64 x c) s) (/.f64 (/.f64 x c) s)) (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (/.f64 (/.f64 #s(literal -2 binary64) (.f64 s (.f64 c c))) s)) (.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) s) (.f64 s (.f64 c c)))) (.f64 x x))
(/ 1 (* c (pow x 2)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) c))
(/ 1 (* c (pow x 2)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) c))
(/ 1 (* c (pow x 2)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) c))
(/ 1 (* c (pow x 2)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) c))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) c) x) (.f64 (.f64 x s) s))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (.f64 s c)) (/.f64 (/.f64 (.f64 x x) c) s) (/.f64 (/.f64 #s(literal 1 binary64) s) (.f64 s (.f64 c c)))) (*.f64 x x))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) (.f64 s (.f64 c c))) (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64))) (.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) s) (.f64 s (.f64 c c)))) (.f64 x x))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (/.f64 x c) s) (/.f64 (/.f64 x c) s)) (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (/.f64 (/.f64 #s(literal -2 binary64) (.f64 s (.f64 c c))) s)) (.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) s) (.f64 s (.f64 c c)))) (.f64 x x))
(/ 1 (* (pow c 2) (* s (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) s) c) c)
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) s))) (/ 1 (* (pow c 2) s))) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (.f64 s c)) (/.f64 (.f64 x x) c) (/.f64 #s(literal 1 binary64) (.f64 s (.f64 c c)))) (*.f64 x x))
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(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (.f64 (.f64 x s) s)) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (.f64 (.f64 x s) s)) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (.f64 (.f64 x s) s)) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (.f64 (.f64 x s) s)) x)
(/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 x x)) (.f64 (.f64 s s) c))
(/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 x x)) (.f64 (.f64 s s) c))
(/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 x x)) (.f64 (.f64 s s) c))
(/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 x x)) (.f64 (.f64 s s) c))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (.f64 (.f64 x s) s)) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (.f64 (.f64 x s) s)) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (.f64 (.f64 x s) s)) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (.f64 (.f64 x s) s)) x)
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
(/ (* c (* (pow s 2) (pow x 2))) (cos (* 2 x)))
(.f64 (/.f64 (.f64 x x) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (*.f64 s s) c))
(/ (* c (* (pow s 2) (pow x 2))) (cos (* 2 x)))
(.f64 (/.f64 (.f64 x x) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (*.f64 s s) c))
(/ (* c (* (pow s 2) (pow x 2))) (cos (* 2 x)))
(.f64 (/.f64 (.f64 x x) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (*.f64 s s) c))
(/ (* c (* (pow s 2) (pow x 2))) (cos (* 2 x)))
(.f64 (/.f64 (.f64 x x) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (*.f64 s s) c))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) c) x) (.f64 (.f64 x s) s))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) c) x) (.f64 (.f64 x s) s))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) c) x) (.f64 (.f64 x s) s))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) c) x) (.f64 (.f64 x s) s))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (.f64 (.f64 x s) s)) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (.f64 (.f64 x s) s)) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (.f64 (.f64 x s) s)) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (.f64 (.f64 x s) s)) x)
(* (pow c 2) s)
(.f64 s (.f64 c c))
(* (pow c 2) s)
(.f64 s (.f64 c c))
(* (pow c 2) s)
(.f64 s (.f64 c c))
(* (pow c 2) s)
(.f64 s (.f64 c c))
(* (pow c 2) (* (pow s 2) x))
(.f64 (.f64 x (.f64 c c)) (.f64 s s))
(* (pow c 2) (* (pow s 2) x))
(.f64 (.f64 x (.f64 c c)) (.f64 s s))
(* (pow c 2) (* (pow s 2) x))
(.f64 (.f64 x (.f64 c c)) (.f64 s s))
(* (pow c 2) (* (pow s 2) x))
(.f64 (.f64 x (.f64 c c)) (.f64 s s))
(* (pow c 2) (pow s 2))
(.f64 (.f64 s c) (*.f64 s c))
(* (pow c 2) (pow s 2))
(.f64 (.f64 s c) (*.f64 s c))
(* (pow c 2) (pow s 2))
(.f64 (.f64 s c) (*.f64 s c))
(* (pow c 2) (pow s 2))
(.f64 (.f64 s c) (*.f64 s c))
(* c (* (pow s 2) x))
(.f64 (.f64 (*.f64 x s) s) c)
(* c (* (pow s 2) x))
(.f64 (.f64 (*.f64 x s) s) c)
(* c (* (pow s 2) x))
(.f64 (.f64 (*.f64 x s) s) c)
(* c (* (pow s 2) x))
(.f64 (.f64 (*.f64 x s) s) c)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (.f64 (.f64 x s) s)) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (.f64 (.f64 x s) s)) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (.f64 (.f64 x s) s)) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (.f64 (.f64 x s) s)) x)
(/ -1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s s) c)) c) x) x)
(/ -1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s s) c)) c) x) x)
(/ -1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s s) c)) c) x) x)
(/ -1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s s) c)) c) x) x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 x s) c) (.f64 (*.f64 x s) c))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 x s) c) (.f64 (*.f64 x s) c))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 x s) c) (.f64 (*.f64 x s) c))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 x s) c) (.f64 (*.f64 x s) c))
(* c (* s x))
(.f64 (.f64 x s) c)
(* c (* s x))
(.f64 (.f64 x s) c)
(* c (* s x))
(.f64 (.f64 x s) c)
(* c (* s x))
(.f64 (.f64 x s) c)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (.f64 (.f64 x s) s)) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (.f64 (.f64 x s) s)) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (.f64 (.f64 x s) s)) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (.f64 (.f64 x s) s)) x)
(/ 1 (* c (pow x 2)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) c))
(/ 1 (* c (pow x 2)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) c))
(/ 1 (* c (pow x 2)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) c))
(/ 1 (* c (pow x 2)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) c))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (.f64 (.f64 x s) s)) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (.f64 (.f64 x s) s)) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (.f64 (.f64 x s) s)) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (.f64 (.f64 x s) s)) x)
(/ (cos (* 2 x)) (* (pow c 2) (* s (pow x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 s (.f64 c c)) x)) x)
(/ (cos (* 2 x)) (* (pow c 2) (* s (pow x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 s (.f64 c c)) x)) x)
(/ (cos (* 2 x)) (* (pow c 2) (* s (pow x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 s (.f64 c c)) x)) x)
(/ (cos (* 2 x)) (* (pow c 2) (* s (pow x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 s (.f64 c c)) x)) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (.f64 (.f64 x s) s)) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (.f64 (.f64 x s) s)) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (.f64 (.f64 x s) s)) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (.f64 (.f64 x s) s)) x)
(/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 x x)) (.f64 (.f64 s s) c))
(/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 x x)) (.f64 (.f64 s s) c))
(/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 x x)) (.f64 (.f64 s s) c))
(/ (cos (* 2 x)) (* c (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 x x)) (.f64 (.f64 s s) c))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (.f64 (.f64 x s) s)) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (.f64 (.f64 x s) s)) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (.f64 (.f64 x s) s)) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (.f64 (.f64 x s) s)) x)
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
(/ (* c (* (pow s 2) (pow x 2))) (cos (* 2 x)))
(.f64 (/.f64 (.f64 x x) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (*.f64 s s) c))
(/ (* c (* (pow s 2) (pow x 2))) (cos (* 2 x)))
(.f64 (/.f64 (.f64 x x) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (*.f64 s s) c))
(/ (* c (* (pow s 2) (pow x 2))) (cos (* 2 x)))
(.f64 (/.f64 (.f64 x x) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (*.f64 s s) c))
(/ (* c (* (pow s 2) (pow x 2))) (cos (* 2 x)))
(.f64 (/.f64 (.f64 x x) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (*.f64 s s) c))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) c) x) (.f64 (.f64 x s) s))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) c) x) (.f64 (.f64 x s) s))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) c) x) (.f64 (.f64 x s) s))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) c) x) (.f64 (.f64 x s) s))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (.f64 (.f64 x s) s)) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (.f64 (.f64 x s) s)) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (.f64 (.f64 x s) s)) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (.f64 (.f64 x s) s)) x)
(* (pow c 2) s)
(.f64 s (.f64 c c))
(* (pow c 2) s)
(.f64 s (.f64 c c))
(* (pow c 2) s)
(.f64 s (.f64 c c))
(* (pow c 2) s)
(.f64 s (.f64 c c))
(* (pow c 2) (* (pow s 2) x))
(.f64 (.f64 x (.f64 c c)) (.f64 s s))
(* (pow c 2) (* (pow s 2) x))
(.f64 (.f64 x (.f64 c c)) (.f64 s s))
(* (pow c 2) (* (pow s 2) x))
(.f64 (.f64 x (.f64 c c)) (.f64 s s))
(* (pow c 2) (* (pow s 2) x))
(.f64 (.f64 x (.f64 c c)) (.f64 s s))
(* (pow c 2) (pow s 2))
(.f64 (.f64 s c) (*.f64 s c))
(* (pow c 2) (pow s 2))
(.f64 (.f64 s c) (*.f64 s c))
(* (pow c 2) (pow s 2))
(.f64 (.f64 s c) (*.f64 s c))
(* (pow c 2) (pow s 2))
(.f64 (.f64 s c) (*.f64 s c))
(* c (* (pow s 2) x))
(.f64 (.f64 (*.f64 x s) s) c)
(* c (* (pow s 2) x))
(.f64 (.f64 (*.f64 x s) s) c)
(* c (* (pow s 2) x))
(.f64 (.f64 (*.f64 x s) s) c)
(* c (* (pow s 2) x))
(.f64 (.f64 (*.f64 x s) s) c)

rewrite185.0ms (1.9%)

Memory

15.0MiB live, 292.1MiB allocated

Rules

4 618×	`lower-*.f32`
4 588×	`lower-*.f64`
4 084×	`lower-/.f32`
4 062×	`lower-/.f64`
902×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	278
0	82	273
1	280	230
2	1526	224
0	8365	224

Stop Event

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

Counts

27 → 2 025

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) (neg.f64 (cos.f64 (.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)))
(pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))
(.f64 x (.f64 c s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c)
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) x)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) x) (.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) x)
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (.f64 x (.f64 s s)) c) (/.f64 x (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))
(.f64 (pow.f64 c #s(literal -1 binary64)) (pow.f64 (.f64 (.f64 (.f64 x (.f64 s s)) c) (/.f64 x (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
(pow.f64 c #s(literal -1 binary64))
(.f64 (.f64 (.f64 x (.f64 s s)) c) (/.f64 x (cos.f64 (*.f64 x #s(literal 2 binary64)))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(.f64 (.f64 s c) c)
(.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x)
(pow.f64 (*.f64 s c) #s(literal 2 binary64))
(.f64 (.f64 x (*.f64 s s)) c)
(.f64 x (.f64 s s))

Outputs
(.f64 (/.f64 (pow.f64 s #s(literal -1 binary64)) (/.f64 (.f64 (.f64 s c) c) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (pow.f64 x #s(literal -2 binary64)))
(.f64 (/.f64 (pow.f64 s #s(literal -1 binary64)) (.f64 (.f64 (neg.f64 c) c) s)) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (*.f64 (neg.f64 x) x)))
(.f64 (/.f64 (pow.f64 s #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 s (pow.f64 (.f64 c x) #s(literal 2 binary64)))))
(.f64 (/.f64 (/.f64 (pow.f64 (.f64 s c) #s(literal -2 binary64)) x) #s(literal -1 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 x)))
(.f64 (/.f64 (pow.f64 c #s(literal -1 binary64)) (.f64 (neg.f64 c) (pow.f64 (.f64 s x) #s(literal 2 binary64)))) (neg.f64 (cos.f64 (.f64 #s(literal 2 binary64) x))))
(.f64 (/.f64 (pow.f64 c #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c (pow.f64 (.f64 s x) #s(literal 2 binary64)))))
(.f64 (/.f64 (/.f64 (pow.f64 (.f64 s c) #s(literal -2 binary64)) x) #s(literal 1 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) x))
(.f64 (/.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 (pow.f64 (.f64 s c) #s(literal -2 binary64)) x)) (neg.f64 x)) #s(literal -1 binary64))
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(fma.f64 (neg.f64 (pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64))) #s(literal 0 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 c x) s) #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 c #s(literal -2 binary64))) (pow.f64 (.f64 s x) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 c #s(literal -2 binary64))) (pow.f64 (.f64 s x) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 s)) (.f64 (pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64)) (neg.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) x) (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 s (pow.f64 (.f64 c x) #s(literal 2 binary64)))) s) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 s (pow.f64 (.f64 c x) #s(literal 2 binary64)))) s))
(-.f64 (/.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (.f64 s c) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (.f64 s c) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (.f64 s c) #s(literal 2 binary64))) (.f64 (pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64)) (neg.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x)) (.f64 (pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64)) (neg.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)))) (.f64 (pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64)) (neg.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) (pow.f64 (.f64 s c) #s(literal 2 binary64)))) (.f64 (pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64)) (neg.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)))))
(-.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64))) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64))))
(-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64)) (neg.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)))))
(exp.f64 (-.f64 (neg.f64 (log.f64 (.f64 (/.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) x))) c))) (log.f64 c)))
(exp.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) x))))))
(exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal -1 binary64)))
(+.f64 (.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64)))) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64)))))
(+.f64 (.f64 (pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 (pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(+.f64 (.f64 (neg.f64 (pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (.f64 (neg.f64 (pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(+.f64 (.f64 (neg.f64 (pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64))) #s(literal 0 binary64)) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64))))
(+.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64))) (.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64))))
(+.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64))) (neg.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64)))))
(+.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 c x) s) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 s c) #s(literal -1 binary64)) (neg.f64 c))
(.f64 (.f64 (sqrt.f64 (.f64 s c)) (sqrt.f64 c)) (.f64 (sqrt.f64 (*.f64 s c)) (sqrt.f64 c)))
(.f64 (.f64 c (sqrt.f64 s)) (*.f64 c (sqrt.f64 s)))
(.f64 (.f64 (sqrt.f64 s) c) (*.f64 (sqrt.f64 s) c))
(.f64 (.f64 (sqrt.f64 c) (sqrt.f64 (.f64 s c))) (.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 s c))))
(.f64 (/.f64 (.f64 s c) #s(literal 1 binary64)) c)
(.f64 (neg.f64 (.f64 (neg.f64 s) c)) c)
(.f64 (.f64 (neg.f64 s) c) (neg.f64 c))
(.f64 (neg.f64 s) (.f64 (neg.f64 c) c))
(.f64 (neg.f64 c) (.f64 (neg.f64 s) c))
(.f64 (.f64 (*.f64 s c) c) #s(literal 1 binary64))
(.f64 (.f64 s c) c)
(.f64 #s(literal 1 binary64) (.f64 (*.f64 s c) c))
(.f64 (.f64 c c) s)
(.f64 s (neg.f64 (.f64 (neg.f64 c) c)))
(.f64 s (.f64 c c))
(.f64 c (neg.f64 (.f64 (neg.f64 s) c)))
(.f64 c (.f64 s c))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 (neg.f64 c) c) s))
(pow.f64 (.f64 (.f64 s c) c) #s(literal 1 binary64))
(/.f64 (*.f64 (neg.f64 s) c) (/.f64 #s(literal -1 binary64) c))
(/.f64 (.f64 (.f64 (neg.f64 c) c) s) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 s c) c) #s(literal 1 binary64))
(/.f64 (*.f64 s c) (pow.f64 c #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 s c) c) #s(literal -1 binary64)))
(neg.f64 (.f64 (.f64 (neg.f64 c) c) s))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 (neg.f64 c) c) s))
(exp.f64 (-.f64 (log.f64 (*.f64 s c)) (neg.f64 (log.f64 c))))
(exp.f64 (+.f64 (log.f64 (*.f64 s c)) (log.f64 c)))
(exp.f64 (fma.f64 (log.f64 c) #s(literal 2 binary64) (log.f64 s)))
(exp.f64 (+.f64 (log.f64 s) (*.f64 (log.f64 c) #s(literal 2 binary64))))
(exp.f64 (+.f64 (log.f64 c) (log.f64 (*.f64 s c))))
(.f64 (.f64 (sqrt.f64 (.f64 s c)) (sqrt.f64 (.f64 (.f64 c x) s))) (.f64 (sqrt.f64 (.f64 s c)) (sqrt.f64 (.f64 (*.f64 c x) s))))
(.f64 (.f64 (sqrt.f64 (.f64 (.f64 c x) s)) (sqrt.f64 (.f64 s c))) (.f64 (sqrt.f64 (.f64 (.f64 c x) s)) (sqrt.f64 (*.f64 s c))))
(.f64 (/.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) #s(literal 1 binary64)) x)
(.f64 (neg.f64 (neg.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)))) x)
(.f64 (.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(.f64 (.f64 (.f64 c c) (.f64 s x)) s)
(.f64 (.f64 (.f64 c c) x) (.f64 s s))
(.f64 (neg.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64))) (neg.f64 x))
(.f64 (neg.f64 x) (neg.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64))))
(.f64 (.f64 (.f64 s s) x) (.f64 c c))
(.f64 (.f64 s s) (.f64 (.f64 c c) x))
(.f64 (.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) #s(literal 1 binary64))
(.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x)
(.f64 (.f64 s c) (.f64 (.f64 c x) s))
(.f64 #s(literal 1 binary64) (.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))
(.f64 (.f64 c c) (.f64 (.f64 s s) x))
(.f64 (.f64 (.f64 c x) s) (.f64 s c))
(.f64 c (.f64 (.f64 (.f64 s s) x) c))
(.f64 x (neg.f64 (neg.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)))))
(.f64 x (pow.f64 (.f64 s c) #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) (pow.f64 (*.f64 s c) #s(literal 2 binary64))))
(pow.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) #s(literal 1 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (pow.f64 (.f64 s c) #s(literal 2 binary64))) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (.f64 (neg.f64 x) (pow.f64 (.f64 s c) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) #s(literal 1 binary64))
(/.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 s c) #s(literal -2 binary64)) x))
(neg.f64 (/.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) x)))
(neg.f64 (.f64 (neg.f64 x) (pow.f64 (.f64 s c) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) (pow.f64 (.f64 s c) #s(literal 2 binary64))))
(exp.f64 (-.f64 (.f64 (log.f64 (.f64 s c)) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (+.f64 (log.f64 (.f64 s c)) (log.f64 (.f64 (*.f64 c x) s))))
(exp.f64 (+.f64 (log.f64 (.f64 (.f64 c x) s)) (log.f64 (*.f64 s c))))
(.f64 (.f64 s s) (*.f64 c c))
(.f64 (.f64 (*.f64 s c) c) s)
(.f64 (.f64 (*.f64 s c) s) c)
(.f64 (.f64 s c) (*.f64 s c))
(.f64 (.f64 c c) (*.f64 s s))
(.f64 s (.f64 (*.f64 s c) c))
(.f64 c (.f64 (*.f64 s c) s))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 s c)))
(pow.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 s c) #s(literal 2 binary64))
(exp.f64 (+.f64 (log.f64 (.f64 s c)) (log.f64 (.f64 s c))))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 s c)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 s c)) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (*.f64 s c) s) #s(literal -1 binary64)) (neg.f64 x))
(.f64 (.f64 (sqrt.f64 (.f64 (.f64 c x) s)) (sqrt.f64 s)) (.f64 (sqrt.f64 (.f64 (*.f64 c x) s)) (sqrt.f64 s)))
(.f64 (.f64 c x) (*.f64 s s))
(.f64 (.f64 s x) (*.f64 s c))
(.f64 (.f64 (.f64 (.f64 s s) x) c) #s(literal 1 binary64))
(.f64 (.f64 (*.f64 s s) x) c)
(.f64 (.f64 s s) (*.f64 c x))
(.f64 (.f64 (*.f64 s c) s) x)
(.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 s s) x) c))
(.f64 (.f64 (*.f64 c x) s) s)
(.f64 c (.f64 (*.f64 s s) x))
(.f64 x (.f64 (*.f64 s c) s))
(pow.f64 (.f64 (.f64 (*.f64 s s) x) c) #s(literal 1 binary64))
(/.f64 (.f64 (neg.f64 x) (.f64 (*.f64 s c) s)) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 (neg.f64 s) c) s) (/.f64 #s(literal -1 binary64) x))
(/.f64 (.f64 (.f64 (*.f64 s s) x) c) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 s c) s) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (*.f64 s s) x) c) #s(literal -1 binary64)))
(neg.f64 (/.f64 (.f64 (.f64 s c) s) (/.f64 #s(literal -1 binary64) x)))
(exp.f64 (log.f64 (.f64 (.f64 (*.f64 s s) x) c)))
(.f64 (.f64 s x) s)
(.f64 (.f64 s s) x)
(.f64 s (.f64 s x))
(.f64 x (.f64 s s))
(/.f64 (.f64 (neg.f64 x) (.f64 s s)) #s(literal -1 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 s s)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 s s) x) #s(literal 1 binary64))
(/.f64 (*.f64 s s) (pow.f64 x #s(literal -1 binary64)))

eval481.0ms (4.9%)

Memory: 11.1MiB live, 750.6MiB allocated
Compiler: Compiled 59 180 to 5 304 computations (91% saved)

prune153.0ms (1.5%)

Memory

-39.5MiB live, 302.2MiB allocated

Pruning

45 alts after pruning (44 fresh and 1 done)

	Pruned	Kept	Total
New	2 932	39	2 971
Fresh	15	5	20
Picked	4	1	5
Done	0	0	0
Total	2 951	45	2 996

Accuracy

100.0%

Counts

2 996 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	92.4%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) x) (.f64 (.f64 (.f64 c x) s) (*.f64 s c)))
	92.3%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) x) (.f64 (.f64 (sqrt.f64 (.f64 (.f64 c x) s)) (sqrt.f64 (.f64 s c))) (.f64 (sqrt.f64 (.f64 (.f64 c x) s)) (sqrt.f64 (.f64 s c)))))
	97.0%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (neg.f64 c) x) s)) (.f64 (*.f64 (neg.f64 c) x) s))
	75.5%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x x) c)) (.f64 (*.f64 s c) s))
	82.2%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 s x) x)) (.f64 (*.f64 s c) c))
	87.1%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) x) (.f64 (.f64 (.f64 s c) s) (*.f64 c x)))
	85.2%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) x) (.f64 s (.f64 (.f64 (*.f64 s c) c) x)))
▶	97.8%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (.f64 (pow.f64 (.f64 x (*.f64 c s)) #s(literal 2 binary64)) #s(literal 2 binary64)))
▶	72.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 c c)) s) (.f64 x s)))
	77.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 (.f64 x (.f64 s s)) c)))
	96.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))))
	60.9%	(.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) (neg.f64 #s(approx (cos ( x 2)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
	79.3%	(.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) (neg.f64 #s(approx (cos ( x 2)) #s(literal 1 binary64))))
	92.3%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) (.f64 x (.f64 (.f64 c x) s)))) (neg.f64 (cos.f64 (*.f64 x #s(literal 2 binary64)))))
	92.5%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 c x) (.f64 s (.f64 (.f64 c x) s)))) (neg.f64 (cos.f64 (*.f64 x #s(literal 2 binary64)))))
	86.8%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 (.f64 (.f64 s c) s) (.f64 c x)))) (neg.f64 (cos.f64 (*.f64 x #s(literal 2 binary64)))))
	62.3%	#s(approx (/ (/ (cos (* x 2)) x) (* (pow (* s c) 2) x)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) c) x) (.f64 (.f64 x s) s)))
	77.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64)))
▶	68.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 s c) #s(literal -2 binary64)) (.f64 x x)))
	73.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 s (.f64 (.f64 s c) (.f64 c x)))))
	67.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 s #s(literal -1 binary64)) (.f64 (.f64 (.f64 x x) c) (.f64 s c))))
	73.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 (*.f64 s c) #s(literal -2 binary64)) x) x))
	68.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) s) (.f64 (.f64 s c) c)))
✓	63.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s)))
	91.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) x) (.f64 c (.f64 (.f64 c x) s))) s))
	81.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) c) (.f64 (.f64 (.f64 s x) x) c)) s))
	45.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 x x)) (.f64 (.f64 s c) c)) s))
	66.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 x x)) (.f64 (*.f64 s c) c)) s))
	63.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) c) (.f64 (*.f64 s c) s)))
	69.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (.f64 (.f64 (*.f64 s c) s) (neg.f64 x))))
	46.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(approx (/ (cos (* 2 x)) (* x x)) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) x) x)) (.f64 (*.f64 s c) c)) s))
	63.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) c)) (.f64 (.f64 s c) s)))
	66.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) (.f64 (.f64 (neg.f64 c) x) x)))
	77.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 c x) s)) (.f64 (.f64 (neg.f64 c) x) s)))
	68.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 s (pow.f64 (.f64 c x) #s(literal 2 binary64)))) (neg.f64 s)))
	69.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (.f64 (.f64 (neg.f64 s) c) s) (.f64 c x))))
	46.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c)) (*.f64 x x)))
	66.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 c) x))) (.f64 (.f64 s c) s)))
▶	69.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (.f64 c x)))
	36.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (/ (cos (* 2 x)) (* x x)) (* (* s c) c)) (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (.f64 s c)) (/.f64 (.f64 x x) c) (/.f64 #s(literal 1 binary64) (.f64 s (.f64 c c)))) (*.f64 x x))) s))
	67.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (/ (cos (* 2 x)) (* x x)) (* (* s c) c)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) s) c) c)) s))
	77.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64))))
	69.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 s c) s) (*.f64 c x)) x)))
▶	65.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) (.f64 (.f64 (*.f64 s s) x) c))))
	63.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 x x) c) (.f64 (*.f64 (neg.f64 s) c) s))))

Compiler

Compiled 1 430 to 1 091 computations (23.7% saved)

simplify113.0ms (1.1%)

Memory

13.7MiB live, 204.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 x (*.f64 c c)) s)
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(cos.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff	0	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 c c)) s) (.f64 x s)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(*.f64 s c)
cost-diff	0	(pow.f64 (*.f64 s c) #s(literal -2 binary64))
cost-diff	0	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 s c) #s(literal -2 binary64)) (.f64 x x)))
cost-diff	0	(/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	0	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (.f64 c x)))
cost-diff	704	(.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (*.f64 s c) s)))
cost-diff	0	(.f64 (.f64 (*.f64 s s) x) c)
cost-diff	0	(*.f64 c x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) (.f64 (.f64 (*.f64 s s) x) c)))
cost-diff	0	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) (.f64 (.f64 (*.f64 s s) x) c))))
cost-diff	0	(cos.f64 (*.f64 x #s(literal 2 binary64)))
cost-diff	0	(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))
cost-diff	0	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (.f64 (pow.f64 (.f64 x (*.f64 c s)) #s(literal 2 binary64)) #s(literal 2 binary64)))
cost-diff	6976	(-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))

Rules

5 062×	`lower-*.f32`
5 024×	`lower-*.f64`
2 952×	`lower-/.f32`
2 938×	`lower-/.f64`
2 756×	`lower-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	349
0	84	337
1	171	299
2	401	295
3	1376	289
4	4248	289
0	8357	289

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (.f64 (pow.f64 (.f64 x (*.f64 c s)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))
#s(literal 1 binary64)
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 x (*.f64 c s)) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))
(.f64 x (.f64 c s))
(*.f64 c s)
c
s
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) (.f64 (.f64 (*.f64 s s) x) c))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) (.f64 (.f64 (*.f64 s s) x) c)))
#s(literal 1 binary64)
(.f64 (.f64 c x) (.f64 (.f64 (*.f64 s s) x) c))
(*.f64 c x)
c
x
(.f64 (.f64 (*.f64 s s) x) c)
(.f64 (.f64 s s) x)
(*.f64 s s)
s
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (.f64 c x)))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (.f64 c x))
(.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (*.f64 s c) s)))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))
(.f64 (.f64 s c) s)
(*.f64 s c)
s
c
(*.f64 c x)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 s c) #s(literal -2 binary64)) (.f64 x x)))
(/.f64 (pow.f64 (.f64 s c) #s(literal -2 binary64)) (.f64 x x))
(pow.f64 (*.f64 s c) #s(literal -2 binary64))
(*.f64 s c)
s
c
#s(literal -2 binary64)
(*.f64 x x)
x
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 c c)) s) (.f64 x s)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(.f64 (.f64 (.f64 x (.f64 c c)) s) (*.f64 x s))
(.f64 (.f64 x (*.f64 c c)) s)
(.f64 x (.f64 c c))
(*.f64 c c)
c
s
(*.f64 x s)

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

localize253.0ms (2.6%)

Memory

-3.1MiB live, 437.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.30992038210878814	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 c c)) s) (.f64 x s)))
accuracy	5.473913089450457	(.f64 (.f64 (.f64 x (.f64 c c)) s) (*.f64 x s))
accuracy	7.26792761526805	(.f64 x (.f64 c c))
accuracy	7.641859266325957	(.f64 (.f64 x (*.f64 c c)) s)
accuracy	0	(*.f64 s c)
accuracy	0.24351503907376806	(pow.f64 (*.f64 s c) #s(literal -2 binary64))
accuracy	12.372916553362085	(/.f64 (pow.f64 (.f64 s c) #s(literal -2 binary64)) (.f64 x x))
accuracy	12.553971775447522	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 s c) #s(literal -2 binary64)) (.f64 x x)))
accuracy	0.6491815936046802	(/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))
accuracy	4.385265365624129	(/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (.f64 c x))
accuracy	5.968668099083535	(.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (*.f64 s c) s)))
accuracy	12.553971775447522	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (.f64 c x)))
accuracy	4.529118054774326	(.f64 (.f64 c x) (.f64 (.f64 (*.f64 s s) x) c))
accuracy	5.091996414748251	(.f64 (.f64 s s) x)
accuracy	7.840437137202839	(.f64 (.f64 (*.f64 s s) x) c)
accuracy	12.553971775447522	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) (.f64 (.f64 (*.f64 s s) x) c))))
accuracy	0.30992038210878814	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (.f64 (pow.f64 (.f64 x (*.f64 c s)) #s(literal 2 binary64)) #s(literal 2 binary64)))
accuracy	0.3292241552983505	(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))
accuracy	3.7791077173444987	(.f64 x (.f64 c s))
accuracy	16.097987470982467	(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))

Samples

129.0ms	136×	0	valid
59.0ms	76×	2	valid
23.0ms	44×	1	valid

Compiler

Compiled 311 to 48 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 166.0ms

ival-mult: 65.0ms (39.1% of total)

ival-sub: 41.0ms (24.7% of total)

ival-cos: 21.0ms (12.6% of total)

ival-div: 14.0ms (8.4% of total)

adjust: 9.0ms (5.4% of total)

ival-pow2: 9.0ms (5.4% of total)

ival-pow: 5.0ms (3% of total)

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

exact: 1.0ms (0.6% of total)

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

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

series112.0ms (1.1%)

Memory

40.7MiB live, 196.2MiB allocated

Counts

28 → 744

Calls

Call 1

Inputs
#s(alt (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (patch (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)) #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (patch (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (cos.f64 (.f64 x #s(literal 2 binary64))) (patch (cos.f64 (.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) (.f64 (.f64 (.f64 s s) x) c)))) (patch #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) (.f64 (.f64 (*.f64 s s) x) c)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) (.f64 (.f64 (.f64 s s) x) c))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) (.f64 (.f64 (.f64 s s) x) c))) #<representation binary64>) () ())
#s(alt (.f64 c x) (patch (.f64 c x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 s s) x) c) (patch (.f64 (.f64 (.f64 s s) x) c) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (patch (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) #<representation binary64>) () ())
#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (.f64 c x))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (.f64 c x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) (patch (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) #<representation binary64>) () ())
#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 s c) #s(literal -2 binary64)) (.f64 x x))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 s c) #s(literal -2 binary64)) (.f64 x x))) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 s c) #s(literal -2 binary64)) (patch (pow.f64 (.f64 s c) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 s c) (patch (.f64 s c) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 c c)) s) (.f64 x s))) (patch (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 c c)) s) (.f64 x s))) #<representation binary64>) () ())
#s(alt (cos.f64 (.f64 #s(literal 2 binary64) x)) (patch (cos.f64 (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x (.f64 c c)) s) (patch (.f64 (.f64 x (.f64 c c)) s) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (patch (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 c s)) (patch (.f64 x (.f64 c s)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 s s) x) (patch (.f64 (.f64 s s) x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 c x) (.f64 (.f64 (.f64 s s) x) c)) (patch (.f64 (.f64 c x) (.f64 (.f64 (.f64 s s) x) c)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (.f64 c x)) (patch (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (.f64 c x)) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 (.f64 s c) #s(literal -2 binary64)) (.f64 x x)) (patch (/.f64 (pow.f64 (.f64 s c) #s(literal -2 binary64)) (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 c c)) (patch (.f64 x (.f64 c c)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 x (.f64 c c)) s) (.f64 x s)) (patch (.f64 (.f64 (.f64 x (.f64 c c)) s) (.f64 x s)) #<representation binary64>) () ())

Outputs
#s(alt 2 (taylor 0 x) (#s(alt (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (patch (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -4 (pow x 2))) (taylor 0 x) (#s(alt (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (patch (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (- (* 4/3 (pow x 2)) 4))) (taylor 0 x) (#s(alt (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (patch (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 4/3 (* -8/45 (pow x 2)))) 4))) (taylor 0 x) (#s(alt (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (patch (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)) #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)) #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)) #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)) #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (patch (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -2 (pow x 2))) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (patch (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (patch (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (patch (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (cos.f64 (.f64 x #s(literal 2 binary64))) (patch (cos.f64 (.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 (pow x 2))) (taylor 0 x) (#s(alt (cos.f64 (.f64 x #s(literal 2 binary64))) (patch (cos.f64 (.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) (taylor 0 x) (#s(alt (cos.f64 (.f64 x #s(literal 2 binary64))) (patch (cos.f64 (.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) (taylor 0 x) (#s(alt (cos.f64 (.f64 x #s(literal 2 binary64))) (patch (cos.f64 (.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) (.f64 (.f64 (.f64 s s) x) c)))) (patch #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) (.f64 (.f64 (*.f64 s s) x) c)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) (.f64 (.f64 (.f64 s s) x) c)))) (patch #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) (.f64 (.f64 (*.f64 s s) x) c)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) (.f64 (.f64 (.f64 s s) x) c)))) (patch #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) (.f64 (.f64 (*.f64 s s) x) c)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) (.f64 (.f64 (.f64 s s) x) c)))) (patch #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) (.f64 (.f64 (*.f64 s s) x) c)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) (.f64 (.f64 (.f64 s s) x) c))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) (.f64 (.f64 (.f64 s s) x) c))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) (.f64 (.f64 (.f64 s s) x) c))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) (.f64 (.f64 (.f64 s s) x) c))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) (.f64 (.f64 (.f64 s s) x) c))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) (.f64 (.f64 (.f64 s s) x) c))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) (.f64 (.f64 (.f64 s s) x) c))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) (.f64 (.f64 (.f64 s s) x) c))) #<representation binary64>) () ())) ())
#s(alt (* c x) (taylor 0 x) (#s(alt (.f64 c x) (patch (.f64 c x) #<representation binary64>) () ())) ())
#s(alt (* c x) (taylor 0 x) (#s(alt (.f64 c x) (patch (.f64 c x) #<representation binary64>) () ())) ())
#s(alt (* c x) (taylor 0 x) (#s(alt (.f64 c x) (patch (.f64 c x) #<representation binary64>) () ())) ())
#s(alt (* c x) (taylor 0 x) (#s(alt (.f64 c x) (patch (.f64 c x) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) x)) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 s s) x) c) (patch (.f64 (.f64 (.f64 s s) x) c) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) x)) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 s s) x) c) (patch (.f64 (.f64 (.f64 s s) x) c) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) x)) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 s s) x) c) (patch (.f64 (.f64 (.f64 s s) x) c) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) x)) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 s s) x) c) (patch (.f64 (.f64 (.f64 s s) x) c) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* c (* (pow s 2) x))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (patch (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* c (* (pow s 2) x))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (patch (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* c (* (pow s 2) x))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (patch (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* c (* (pow s 2) x))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (patch (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (.f64 c x))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (.f64 c x))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (.f64 c x))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (.f64 c x))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 s c) #s(literal -2 binary64)) (.f64 x x))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 s c) #s(literal -2 binary64)) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 s c) #s(literal -2 binary64)) (.f64 x x))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 s c) #s(literal -2 binary64)) (.f64 x x))) #<representation binary64>) () ())) ())
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#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) (.f64 (.f64 (.f64 s s) x) c))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) (.f64 (.f64 (.f64 s s) x) c))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) (.f64 (.f64 (.f64 s s) x) c))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) (.f64 (.f64 (.f64 s s) x) c))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) (.f64 (.f64 (.f64 s s) x) c))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) (.f64 (.f64 (.f64 s s) x) c))) #<representation binary64>) () ())) ())
#s(alt (* c x) (taylor -inf c) (#s(alt (.f64 c x) (patch (.f64 c x) #<representation binary64>) () ())) ())
#s(alt (* c x) (taylor -inf c) (#s(alt (.f64 c x) (patch (.f64 c x) #<representation binary64>) () ())) ())
#s(alt (* c x) (taylor -inf c) (#s(alt (.f64 c x) (patch (.f64 c x) #<representation binary64>) () ())) ())
#s(alt (* c x) (taylor -inf c) (#s(alt (.f64 c x) (patch (.f64 c x) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) x)) (taylor -inf c) (#s(alt (.f64 (.f64 (.f64 s s) x) c) (patch (.f64 (.f64 (.f64 s s) x) c) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) x)) (taylor -inf c) (#s(alt (.f64 (.f64 (.f64 s s) x) c) (patch (.f64 (.f64 (.f64 s s) x) c) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) x)) (taylor -inf c) (#s(alt (.f64 (.f64 (.f64 s s) x) c) (patch (.f64 (.f64 (.f64 s s) x) c) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) x)) (taylor -inf c) (#s(alt (.f64 (.f64 (.f64 s s) x) c) (patch (.f64 (.f64 (.f64 s s) x) c) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* c (* (pow s 2) x))) (taylor -inf c) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (patch (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* c (* (pow s 2) x))) (taylor -inf c) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (patch (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* c (* (pow s 2) x))) (taylor -inf c) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (patch (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* c (* (pow s 2) x))) (taylor -inf c) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (patch (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (.f64 c x))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (.f64 c x))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (.f64 c x))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (.f64 c x))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* c (pow s 2))) (taylor -inf c) (#s(alt (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) (patch (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* c (pow s 2))) (taylor -inf c) (#s(alt (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) (patch (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* c (pow s 2))) (taylor -inf c) (#s(alt (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) (patch (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* c (pow s 2))) (taylor -inf c) (#s(alt (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) (patch (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 s c) #s(literal -2 binary64)) (.f64 x x))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 s c) #s(literal -2 binary64)) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 s c) #s(literal -2 binary64)) (.f64 x x))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 s c) #s(literal -2 binary64)) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 s c) #s(literal -2 binary64)) (.f64 x x))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 s c) #s(literal -2 binary64)) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 s c) #s(literal -2 binary64)) (.f64 x x))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 s c) #s(literal -2 binary64)) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (pow s 2))) (taylor -inf c) (#s(alt (pow.f64 (.f64 s c) #s(literal -2 binary64)) (patch (pow.f64 (.f64 s c) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (pow s 2))) (taylor -inf c) (#s(alt (pow.f64 (.f64 s c) #s(literal -2 binary64)) (patch (pow.f64 (.f64 s c) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (pow s 2))) (taylor -inf c) (#s(alt (pow.f64 (.f64 s c) #s(literal -2 binary64)) (patch (pow.f64 (.f64 s c) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (pow s 2))) (taylor -inf c) (#s(alt (pow.f64 (.f64 s c) #s(literal -2 binary64)) (patch (pow.f64 (.f64 s c) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c s) (taylor -inf c) (#s(alt (.f64 s c) (patch (.f64 s c) #<representation binary64>) () ())) ())
#s(alt (* c s) (taylor -inf c) (#s(alt (.f64 s c) (patch (.f64 s c) #<representation binary64>) () ())) ())
#s(alt (* c s) (taylor -inf c) (#s(alt (.f64 s c) (patch (.f64 s c) #<representation binary64>) () ())) ())
#s(alt (* c s) (taylor -inf c) (#s(alt (.f64 s c) (patch (.f64 s c) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 c c)) s) (.f64 x s))) (patch (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 c c)) s) (.f64 x s))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 c c)) s) (.f64 x s))) (patch (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 c c)) s) (.f64 x s))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 c c)) s) (.f64 x s))) (patch (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 c c)) s) (.f64 x s))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 c c)) s) (.f64 x s))) (patch (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 c c)) s) (.f64 x s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* s x)) (taylor -inf c) (#s(alt (.f64 (.f64 x (.f64 c c)) s) (patch (.f64 (.f64 x (.f64 c c)) s) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* s x)) (taylor -inf c) (#s(alt (.f64 (.f64 x (.f64 c c)) s) (patch (.f64 (.f64 x (.f64 c c)) s) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* s x)) (taylor -inf c) (#s(alt (.f64 (.f64 x (.f64 c c)) s) (patch (.f64 (.f64 x (.f64 c c)) s) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* s x)) (taylor -inf c) (#s(alt (.f64 (.f64 x (.f64 c c)) s) (patch (.f64 (.f64 x (.f64 c c)) s) #<representation binary64>) () ())) ())
#s(alt (* c (* s x)) (taylor -inf c) (#s(alt (.f64 x (.f64 c s)) (patch (.f64 x (.f64 c s)) #<representation binary64>) () ())) ())
#s(alt (* c (* s x)) (taylor -inf c) (#s(alt (.f64 x (.f64 c s)) (patch (.f64 x (.f64 c s)) #<representation binary64>) () ())) ())
#s(alt (* c (* s x)) (taylor -inf c) (#s(alt (.f64 x (.f64 c s)) (patch (.f64 x (.f64 c s)) #<representation binary64>) () ())) ())
#s(alt (* c (* s x)) (taylor -inf c) (#s(alt (.f64 x (.f64 c s)) (patch (.f64 x (.f64 c s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (.f64 (.f64 c x) (.f64 (.f64 (.f64 s s) x) c)) (patch (.f64 (.f64 c x) (.f64 (.f64 (.f64 s s) x) c)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (.f64 (.f64 c x) (.f64 (.f64 (.f64 s s) x) c)) (patch (.f64 (.f64 c x) (.f64 (.f64 (.f64 s s) x) c)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (.f64 (.f64 c x) (.f64 (.f64 (.f64 s s) x) c)) (patch (.f64 (.f64 c x) (.f64 (.f64 (.f64 s s) x) c)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (.f64 (.f64 c x) (.f64 (.f64 (.f64 s s) x) c)) (patch (.f64 (.f64 c x) (.f64 (.f64 (.f64 s s) x) c)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (.f64 c x)) (patch (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (.f64 c x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (.f64 c x)) (patch (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (.f64 c x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (.f64 c x)) (patch (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (.f64 c x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (.f64 c x)) (patch (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (.f64 c x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 (pow.f64 (.f64 s c) #s(literal -2 binary64)) (.f64 x x)) (patch (/.f64 (pow.f64 (.f64 s c) #s(literal -2 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 (pow.f64 (.f64 s c) #s(literal -2 binary64)) (.f64 x x)) (patch (/.f64 (pow.f64 (.f64 s c) #s(literal -2 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 (pow.f64 (.f64 s c) #s(literal -2 binary64)) (.f64 x x)) (patch (/.f64 (pow.f64 (.f64 s c) #s(literal -2 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 (pow.f64 (.f64 s c) #s(literal -2 binary64)) (.f64 x x)) (patch (/.f64 (pow.f64 (.f64 s c) #s(literal -2 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) x) (taylor -inf c) (#s(alt (.f64 x (.f64 c c)) (patch (.f64 x (.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) x) (taylor -inf c) (#s(alt (.f64 x (.f64 c c)) (patch (.f64 x (.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) x) (taylor -inf c) (#s(alt (.f64 x (.f64 c c)) (patch (.f64 x (.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) x) (taylor -inf c) (#s(alt (.f64 x (.f64 c c)) (patch (.f64 x (.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (.f64 (.f64 (.f64 x (.f64 c c)) s) (.f64 x s)) (patch (.f64 (.f64 (.f64 x (.f64 c c)) s) (.f64 x s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (.f64 (.f64 (.f64 x (.f64 c c)) s) (.f64 x s)) (patch (.f64 (.f64 (.f64 x (.f64 c c)) s) (.f64 x s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (.f64 (.f64 (.f64 x (.f64 c c)) s) (.f64 x s)) (patch (.f64 (.f64 (.f64 x (.f64 c c)) s) (.f64 x s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (.f64 (.f64 (.f64 x (.f64 c c)) s) (.f64 x s)) (patch (.f64 (.f64 (.f64 x (.f64 c c)) s) (.f64 x s)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	s	@	-inf	((- (+ 1 (cos (* x 2))) (- 1 (cos (* x 2)))) (/ (- (+ 1 (cos (* x 2))) (- 1 (cos (* x 2)))) (* (pow (* x (* c s)) 2) 2)) (+ 1 (cos (* x 2))) (cos (* x 2)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* c x) (* (* (* s s) x) c))) (* c x) (* (* (* s s) x) c) (* (/ -1 x) (/ -1 (* (* s c) s))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ -1 x) (/ -1 (* (* s c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow (* s c) -2) (* s c) (* x x) (/ (cos (* 2 x)) (* (* (* x (* c c)) s) (* x s))) (cos (* 2 x)) (* 2 x) (* (* x (* c c)) s) (- 1 (cos (* x 2))) (* x (* c s)) (* (* s s) x) (* (* c x) (* (* (* s s) x) c)) (/ (* (/ -1 x) (/ -1 (* (* s c) s))) (* c x)) (/ (pow (* s c) -2) (* x x)) (* x (* c c)) (* (* (* x (* c c)) s) (* x s)))
11.0ms	x	@	0	((- (+ 1 (cos (* x 2))) (- 1 (cos (* x 2)))) (/ (- (+ 1 (cos (* x 2))) (- 1 (cos (* x 2)))) (* (pow (* x (* c s)) 2) 2)) (+ 1 (cos (* x 2))) (cos (* x 2)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* c x) (* (* (* s s) x) c))) (* c x) (* (* (* s s) x) c) (* (/ -1 x) (/ -1 (* (* s c) s))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ -1 x) (/ -1 (* (* s c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow (* s c) -2) (* s c) (* x x) (/ (cos (* 2 x)) (* (* (* x (* c c)) s) (* x s))) (cos (* 2 x)) (* 2 x) (* (* x (* c c)) s) (- 1 (cos (* x 2))) (* x (* c s)) (* (* s s) x) (* (* c x) (* (* (* s s) x) c)) (/ (* (/ -1 x) (/ -1 (* (* s c) s))) (* c x)) (/ (pow (* s c) -2) (* x x)) (* x (* c c)) (* (* (* x (* c c)) s) (* x s)))
9.0ms	x	@	inf	((- (+ 1 (cos (* x 2))) (- 1 (cos (* x 2)))) (/ (- (+ 1 (cos (* x 2))) (- 1 (cos (* x 2)))) (* (pow (* x (* c s)) 2) 2)) (+ 1 (cos (* x 2))) (cos (* x 2)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* c x) (* (* (* s s) x) c))) (* c x) (* (* (* s s) x) c) (* (/ -1 x) (/ -1 (* (* s c) s))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ -1 x) (/ -1 (* (* s c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow (* s c) -2) (* s c) (* x x) (/ (cos (* 2 x)) (* (* (* x (* c c)) s) (* x s))) (cos (* 2 x)) (* 2 x) (* (* x (* c c)) s) (- 1 (cos (* x 2))) (* x (* c s)) (* (* s s) x) (* (* c x) (* (* (* s s) x) c)) (/ (* (/ -1 x) (/ -1 (* (* s c) s))) (* c x)) (/ (pow (* s c) -2) (* x x)) (* x (* c c)) (* (* (* x (* c c)) s) (* x s)))
5.0ms	x	@	-inf	((- (+ 1 (cos (* x 2))) (- 1 (cos (* x 2)))) (/ (- (+ 1 (cos (* x 2))) (- 1 (cos (* x 2)))) (* (pow (* x (* c s)) 2) 2)) (+ 1 (cos (* x 2))) (cos (* x 2)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* c x) (* (* (* s s) x) c))) (* c x) (* (* (* s s) x) c) (* (/ -1 x) (/ -1 (* (* s c) s))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ -1 x) (/ -1 (* (* s c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow (* s c) -2) (* s c) (* x x) (/ (cos (* 2 x)) (* (* (* x (* c c)) s) (* x s))) (cos (* 2 x)) (* 2 x) (* (* x (* c c)) s) (- 1 (cos (* x 2))) (* x (* c s)) (* (* s s) x) (* (* c x) (* (* (* s s) x) c)) (/ (* (/ -1 x) (/ -1 (* (* s c) s))) (* c x)) (/ (pow (* s c) -2) (* x x)) (* x (* c c)) (* (* (* x (* c c)) s) (* x s)))
5.0ms	c	@	-inf	((- (+ 1 (cos (* x 2))) (- 1 (cos (* x 2)))) (/ (- (+ 1 (cos (* x 2))) (- 1 (cos (* x 2)))) (* (pow (* x (* c s)) 2) 2)) (+ 1 (cos (* x 2))) (cos (* x 2)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* c x) (* (* (* s s) x) c))) (* c x) (* (* (* s s) x) c) (* (/ -1 x) (/ -1 (* (* s c) s))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ -1 x) (/ -1 (* (* s c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow (* s c) -2) (* s c) (* x x) (/ (cos (* 2 x)) (* (* (* x (* c c)) s) (* x s))) (cos (* 2 x)) (* 2 x) (* (* x (* c c)) s) (- 1 (cos (* x 2))) (* x (* c s)) (* (* s s) x) (* (* c x) (* (* (* s s) x) c)) (/ (* (/ -1 x) (/ -1 (* (* s c) s))) (* c x)) (/ (pow (* s c) -2) (* x x)) (* x (* c c)) (* (* (* x (* c c)) s) (* x s)))

simplify250.0ms (2.5%)

Memory

-37.4MiB live, 361.1MiB allocated

Algorithm

1×	egg-herbie

Rules

23 650×	`lower-fma.f64`
23 650×	`lower-fma.f32`
6 304×	`lower-*.f64`
6 304×	`lower-*.f32`
3 320×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	7744
1	248	7744
2	674	7674
3	2359	7624
4	5514	7624
0	8243	7564

Stop Event

1×	iter limit
1×	node limit

Counts

744 → 744

Calls

Call 1

Inputs
2
(+ 2 (* -4 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 4/3 (pow x 2)) 4)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 4/3 (* -8/45 (pow x 2)))) 4)))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
2
(+ 2 (* -2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(* c x)
(* c x)
(* c x)
(* c x)
(* c (* (pow s 2) x))
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(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(/ 1 (* c (* (pow s 2) x)))
(/ 1 (* c (* (pow s 2) x)))
(/ 1 (* c (* (pow s 2) x)))
(/ 1 (* c (* (pow s 2) x)))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ -1 x)
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(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* (pow c 2) (* s x))
(* (pow c 2) (* s x))
(* (pow c 2) (* s x))
(* (pow c 2) (* s x))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* -2/3 (pow x 2))))
(* (pow x 2) (+ 2 (* (pow x 2) (- (* 4/45 (pow x 2)) 2/3))))
(* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 4/45 (* -2/315 (pow x 2)))) 2/3))))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
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(* (pow c 2) x)
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(* (pow c 2) x)
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(* (pow c 2) (* (pow s 2) (pow x 2)))
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(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* 2 (cos (* 2 x)))
(* 2 (cos (* 2 x)))
(* 2 (cos (* 2 x)))
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(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(+ 1 (cos (* 2 x)))
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(+ 1 (cos (* 2 x)))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
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(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(* c x)
(* c x)
(* c x)
(* c x)
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(/ 1 (* c (* (pow s 2) x)))
(/ 1 (* c (* (pow s 2) x)))
(/ 1 (* c (* (pow s 2) x)))
(/ 1 (* c (* (pow s 2) x)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
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(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(* 2 x)
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(* 2 x)
(* 2 x)
(* (pow c 2) (* s x))
(* (pow c 2) (* s x))
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(* (pow c 2) (* s x))
(- 1 (cos (* 2 x)))
(- 1 (cos (* 2 x)))
(- 1 (cos (* 2 x)))
(- 1 (cos (* 2 x)))
(* c (* s x))
(* c (* s x))
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(* (pow s 2) x)
(* (pow s 2) x)
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(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) x)
(* (pow c 2) x)
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(* (pow c 2) x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* 2 (cos (* 2 x)))
(* 2 (cos (* 2 x)))
(* 2 (cos (* 2 x)))
(* 2 (cos (* 2 x)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(+ 1 (cos (* 2 x)))
(+ 1 (cos (* 2 x)))
(+ 1 (cos (* 2 x)))
(+ 1 (cos (* 2 x)))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(* c x)
(* c x)
(* c x)
(* c x)
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(/ 1 (* c (* (pow s 2) x)))
(/ 1 (* c (* (pow s 2) x)))
(/ 1 (* c (* (pow s 2) x)))
(/ 1 (* c (* (pow s 2) x)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
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(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* (pow c 2) (* s x))
(* (pow c 2) (* s x))
(* (pow c 2) (* s x))
(* (pow c 2) (* s x))
(- 1 (cos (* 2 x)))
(- 1 (cos (* 2 x)))
(- 1 (cos (* 2 x)))
(- 1 (cos (* 2 x)))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
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(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) x)
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(* (pow c 2) (* (pow s 2) (pow x 2)))
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(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
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(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
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(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(* c (* (pow s 2) x))
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(/ 1 (* c (* (pow s 2) x)))
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(/ -1 (* c (pow s 2)))
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(/ 1 (* (pow c 2) (pow s 2)))
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(/ 1 (* (pow c 2) (pow s 2)))
(* c s)
(* c s)
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(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
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(* (pow c 2) (* s x))
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(* c (* s x))
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(* c (* s x))
(* c (* s x))
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(/ 1 (* c (* (pow s 2) x)))
(/ 1 (* c (* (pow s 2) x)))
(/ 1 (* c (* (pow s 2) x)))
(/ 1 (* c (* (pow s 2) x)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -1 (* c (pow s 2)))
(/ -1 (* c (pow s 2)))
(/ -1 (* c (pow s 2)))
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(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (pow s 2)))
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(* c s)
(* c s)
(* c s)
(* c s)
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(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) (* s x))
(* (pow c 2) (* s x))
(* (pow c 2) (* s x))
(* (pow c 2) (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* (pow s 2) x)
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(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
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(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
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(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
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(/ 1 (* c (* (pow s 2) x)))
(/ 1 (* c (* (pow s 2) x)))
(/ 1 (* c (* (pow s 2) x)))
(/ 1 (* c (* (pow s 2) x)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -1 (* c (pow s 2)))
(/ -1 (* c (pow s 2)))
(/ -1 (* c (pow s 2)))
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(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (pow s 2)))
(/ 1 (* (pow c 2) (pow s 2)))
(/ 1 (* (pow c 2) (pow s 2)))
(/ 1 (* (pow c 2) (pow s 2)))
(* c s)
(* c s)
(* c s)
(* c s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) (* s x))
(* (pow c 2) (* s x))
(* (pow c 2) (* s x))
(* (pow c 2) (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(* c x)
(* c x)
(* c x)
(* c x)
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(/ 1 (* c (* (pow s 2) x)))
(/ 1 (* c (* (pow s 2) x)))
(/ 1 (* c (* (pow s 2) x)))
(/ 1 (* c (* (pow s 2) x)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -1 (* c (pow s 2)))
(/ -1 (* c (pow s 2)))
(/ -1 (* c (pow s 2)))
(/ -1 (* c (pow s 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (pow s 2)))
(/ 1 (* (pow c 2) (pow s 2)))
(/ 1 (* (pow c 2) (pow s 2)))
(/ 1 (* (pow c 2) (pow s 2)))
(* c s)
(* c s)
(* c s)
(* c s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) (* s x))
(* (pow c 2) (* s x))
(* (pow c 2) (* s x))
(* (pow c 2) (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) x)
(* (pow c 2) x)
(* (pow c 2) x)
(* (pow c 2) x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(* c x)
(* c x)
(* c x)
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(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(/ 1 (* c (* (pow s 2) x)))
(/ 1 (* c (* (pow s 2) x)))
(/ 1 (* c (* (pow s 2) x)))
(/ 1 (* c (* (pow s 2) x)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -1 (* c (pow s 2)))
(/ -1 (* c (pow s 2)))
(/ -1 (* c (pow s 2)))
(/ -1 (* c (pow s 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (pow s 2)))
(/ 1 (* (pow c 2) (pow s 2)))
(/ 1 (* (pow c 2) (pow s 2)))
(/ 1 (* (pow c 2) (pow s 2)))
(* c s)
(* c s)
(* c s)
(* c s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) (* s x))
(* (pow c 2) (* s x))
(* (pow c 2) (* s x))
(* (pow c 2) (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
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(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) x)
(* (pow c 2) x)
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(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(* c x)
(* c x)
(* c x)
(* c x)
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(/ 1 (* c (* (pow s 2) x)))
(/ 1 (* c (* (pow s 2) x)))
(/ 1 (* c (* (pow s 2) x)))
(/ 1 (* c (* (pow s 2) x)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -1 (* c (pow s 2)))
(/ -1 (* c (pow s 2)))
(/ -1 (* c (pow s 2)))
(/ -1 (* c (pow s 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (pow s 2)))
(/ 1 (* (pow c 2) (pow s 2)))
(/ 1 (* (pow c 2) (pow s 2)))
(/ 1 (* (pow c 2) (pow s 2)))
(* c s)
(* c s)
(* c s)
(* c s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) (* s x))
(* (pow c 2) (* s x))
(* (pow c 2) (* s x))
(* (pow c 2) (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) x)
(* (pow c 2) x)
(* (pow c 2) x)
(* (pow c 2) x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))

Outputs
2
#s(literal 2 binary64)
(+ 2 (* -4 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* 4/3 (pow x 2)) 4)))
(fma.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 x x) #s(literal -4 binary64)) (.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 4/3 (* -8/45 (pow x 2)))) 4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -8/45 binary64) (.f64 x x) #s(literal 4/3 binary64)) (.f64 x x) #s(literal -4 binary64)) (*.f64 x x) #s(literal 2 binary64))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s s) c))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (.f64 s c))) (.f64 x x))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (.f64 (/.f64 (/.f64 (/.f64 x s) c) c) (/.f64 x s)) (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (.f64 s c))) (.f64 x x))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (.f64 (.f64 (/.f64 (/.f64 (/.f64 x s) c) c) (/.f64 x s)) (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64))) (.f64 x x) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (.f64 s c)))) (.f64 x x))
2
#s(literal 2 binary64)
(+ 2 (* -2 (pow x 2)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
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(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s s) c))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s s) c))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s s) c))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s s) c))
(* c x)
(*.f64 c x)
(* c x)
(*.f64 c x)
(* c x)
(*.f64 c x)
(* c x)
(*.f64 c x)
(* c (* (pow s 2) x))
(.f64 (.f64 (*.f64 s s) x) c)
(* c (* (pow s 2) x))
(.f64 (.f64 (*.f64 s s) x) c)
(* c (* (pow s 2) x))
(.f64 (.f64 (*.f64 s s) x) c)
(* c (* (pow s 2) x))
(.f64 (.f64 (*.f64 s s) x) c)
(/ 1 (* c (* (pow s 2) x)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 s s) x) c))
(/ 1 (* c (* (pow s 2) x)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 s s) x) c))
(/ 1 (* c (* (pow s 2) x)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 s s) x) c))
(/ 1 (* c (* (pow s 2) x)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 s s) x) c))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ -1 (* c (pow s 2)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 s s)) c)
(/ -1 (* c (pow s 2)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 s s)) c)
(/ -1 (* c (pow s 2)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 s s)) c)
(/ -1 (* c (pow s 2)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 s s)) c)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ 1 (* (pow c 2) (pow s 2)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))
(/ 1 (* (pow c 2) (pow s 2)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))
(/ 1 (* (pow c 2) (pow s 2)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))
(/ 1 (* (pow c 2) (pow s 2)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))
(* c s)
(*.f64 s c)
(* c s)
(*.f64 s c)
(* c s)
(*.f64 s c)
(* c s)
(*.f64 s c)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(* (pow c 2) (* s x))
(.f64 (.f64 (*.f64 s c) c) x)
(* (pow c 2) (* s x))
(.f64 (.f64 (*.f64 s c) c) x)
(* (pow c 2) (* s x))
(.f64 (.f64 (*.f64 s c) c) x)
(* (pow c 2) (* s x))
(.f64 (.f64 (*.f64 s c) c) x)
(* c (* s x))
(.f64 (.f64 s x) c)
(* c (* s x))
(.f64 (.f64 s x) c)
(* c (* s x))
(.f64 (.f64 s x) c)
(* c (* s x))
(.f64 (.f64 s x) c)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s s) c))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s s) c))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s s) c))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s s) c))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s s) c))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s s) c))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s s) c))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s s) c))
(* (pow c 2) x)
(.f64 (.f64 c x) c)
(* (pow c 2) x)
(.f64 (.f64 c x) c)
(* (pow c 2) x)
(.f64 (.f64 c x) c)
(* (pow c 2) x)
(.f64 (.f64 c x) c)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)

rewrite214.0ms (2.2%)

Memory

9.9MiB live, 401.9MiB allocated

Rules

4 650×	`lower-/.f32`
4 636×	`lower-/.f64`
4 340×	`lower-*.f32`
4 302×	`lower-*.f64`
2 560×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	286
0	84	295
1	296	245
2	1783	215
0	8609	215

Stop Event

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

Counts

28 → 1 611

Calls

Call 1

Inputs
(-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (.f64 (pow.f64 (.f64 x (*.f64 c s)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))
(cos.f64 (*.f64 x #s(literal 2 binary64)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) (.f64 (.f64 (*.f64 s s) x) c))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) (.f64 (.f64 (*.f64 s s) x) c)))
(*.f64 c x)
(.f64 (.f64 (*.f64 s s) x) c)
(.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (*.f64 s c) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (.f64 c x)))
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 s c) #s(literal -2 binary64)) (.f64 x x)))
(pow.f64 (*.f64 s c) #s(literal -2 binary64))
(*.f64 s c)
(*.f64 x x)
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 c c)) s) (.f64 x s)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(.f64 (.f64 x (*.f64 c c)) s)
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))
(.f64 x (.f64 c s))
(.f64 (.f64 s s) x)
(.f64 (.f64 c x) (.f64 (.f64 (*.f64 s s) x) c))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (.f64 c x))
(/.f64 (pow.f64 (.f64 s c) #s(literal -2 binary64)) (.f64 x x))
(.f64 x (.f64 c c))
(.f64 (.f64 (.f64 x (.f64 c c)) s) (*.f64 x s))

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

eval307.0ms (3.1%)

Memory: 31.5MiB live, 587.0MiB allocated
Compiler: Compiled 61 293 to 4 230 computations (93.1% saved)

prune167.0ms (1.7%)

Memory

-35.8MiB live, 305.0MiB allocated

Pruning

51 alts after pruning (51 fresh and 0 done)

	Pruned	Kept	Total
New	2 421	28	2 449
Fresh	16	23	39
Picked	5	0	5
Done	1	0	1
Total	2 443	51	2 494

Accuracy

100.0%

Counts

2 494 → 51

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.9%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 c c) x) s) x)) s)
	97.0%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (neg.f64 c) x) s)) (.f64 (*.f64 (neg.f64 c) x) s))
	75.5%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x x) c)) (.f64 (*.f64 s c) s))
	82.2%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 s x) x)) (.f64 (*.f64 s c) c))
	87.1%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) x) (.f64 (.f64 (.f64 s c) s) (*.f64 c x)))
	85.2%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) x) (.f64 s (.f64 (.f64 (*.f64 s c) c) x)))
▶	97.8%	(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))) (.f64 (pow.f64 (.f64 x (*.f64 c s)) #s(literal 2 binary64)) #s(literal 2 binary64)))
	72.9%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 x (.f64 c c)) s) (*.f64 x s)))
	91.4%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 s x) c) (.f64 s c)) x))
	89.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 s x) c) (.f64 c x)) s))
	91.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 s x) c) x) (.f64 s c)))
▶	96.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))))
	80.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (* (* x (* c c)) s) (* x s)) (.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)))
	60.9%	(/.f64 #s(approx (- (+ 1 (cos (* x 2))) (- 1 (cos (* x 2)))) (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 2 binary64))) (.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)) #s(literal 2 binary64)))
	79.3%	(/.f64 #s(approx (- (+ 1 (cos (* x 2))) (- 1 (cos (* x 2)))) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 x (*.f64 c s)) #s(literal 2 binary64)) #s(literal 2 binary64)))
	51.6%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 x (.f64 c c)) s) (.f64 x s)))
	65.4%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x (.f64 c c)) s) (*.f64 x s)))
	60.9%	(.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) (neg.f64 #s(approx (cos ( x 2)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
	92.5%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 c x) (.f64 s (.f64 (.f64 c x) s)))) (neg.f64 (cos.f64 (*.f64 x #s(literal 2 binary64)))))
	86.8%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 (.f64 (.f64 s c) s) (.f64 c x)))) (neg.f64 (cos.f64 (*.f64 x #s(literal 2 binary64)))))
	61.7%	#s(approx (/ (- (+ 1 (cos (* x 2))) (- 1 (cos (* x 2)))) (* (pow (* x (* c s)) 2) 2)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s s) c)))
	46.7%	#s(approx (/ (- (+ 1 (cos (* x 2))) (- 1 (cos (* x 2)))) (* (pow (* x (* c s)) 2) 2)) (/.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (.f64 s c))) (.f64 x x)))
	73.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 s (.f64 (.f64 s c) (.f64 c x)))))
	68.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) s) (.f64 (.f64 s c) c)))
	91.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) x) (.f64 c (.f64 (.f64 c x) s))) s))
	81.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) c) (.f64 (.f64 (.f64 s x) x) c)) s))
	45.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 x x)) (.f64 (.f64 s c) c)) s))
	66.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 x x)) (.f64 (*.f64 s c) c)) s))
	63.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) c) (.f64 (*.f64 s c) s)))
	69.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) (neg.f64 x)) (*.f64 c x)))
	74.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 s c)) #s(literal -1 binary64)) (.f64 s x)) (.f64 c x)))
▶	46.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(approx (/ (cos (* 2 x)) (* x x)) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) x) x)) (.f64 (*.f64 s c) c)) s))
	63.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) c)) (.f64 (.f64 s c) s)))
	69.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 s c) s) (neg.f64 x))) (.f64 c x)))
▶	66.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) (.f64 (.f64 (neg.f64 c) x) x)))
	77.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 c x) s)) (.f64 (.f64 (neg.f64 c) x) s)))
	46.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c)) (*.f64 x x)))
	70.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (*.f64 s c) s)) x)) c))
	68.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (pow (* s c) -2) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (.f64 s c))) (.f64 x x)))
	63.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) (*.f64 s s))))
	67.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) (/.f64 c (/.f64 #s(literal -1 binary64) (.f64 (*.f64 s c) s))))))
	77.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 s x) c) (*.f64 s c)) x)))
	73.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 s x) c) (*.f64 c x)) s)))
	77.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 s x) c) x) (*.f64 s c))))
	69.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 s c) s) (*.f64 c x)) x)))
	79.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 s x) c) (.f64 (*.f64 s x) c))))
	71.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) (.f64 (.f64 (*.f64 s x) s) c))))
	65.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) (.f64 (.f64 s s) (*.f64 c x)))))
▶	67.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s))))
	63.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 x x) c) (.f64 (*.f64 (neg.f64 s) c) s))))
	67.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (*.f64 s c) s)) c) (/.f64 (/.f64 #s(literal -1 binary64) x) x)))

Compiler

Compiled 1 634 to 1 234 computations (24.5% saved)

simplify187.0ms (1.9%)

Memory

-7.5MiB live, 147.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s)))
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(cos.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff	0	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))))
cost-diff	0	#s(approx (/ (cos (* 2 x)) (* x x)) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
cost-diff	0	(/.f64 #s(approx (/ (cos (* 2 x)) (* x x)) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) x) x)) (.f64 (*.f64 s c) c))
cost-diff	0	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(approx (/ (cos (* 2 x)) (* x x)) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) x) x)) (.f64 (*.f64 s c) c)) s))
cost-diff	384	(/.f64 (/.f64 #s(approx (/ (cos (* 2 x)) (* x x)) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) x) x)) (.f64 (*.f64 s c) c)) s)
cost-diff	0	(*.f64 s c)
cost-diff	0	(.f64 (.f64 s c) s)
cost-diff	0	(/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))
cost-diff	0	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) (.f64 (.f64 (neg.f64 c) x) x)))
cost-diff	0	(.f64 (.f64 (.f64 (.f64 c x) c) x) s)
cost-diff	0	#s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)))
cost-diff	0	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s))))
cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))
cost-diff	0	(cos.f64 (+.f64 x x))
cost-diff	0	(+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))
cost-diff	6976	(-.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))))

Rules

8 896×	`lower-fma.f32`
8 894×	`lower-fma.f64`
3 642×	`lower-*.f32`
3 608×	`lower-*.f64`
3 490×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	63	525
0	100	497
1	200	461
2	436	449
3	1630	441
4	4404	441
0	8350	441

Stop Event

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

Calls

Call 1

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

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

localize215.0ms (2.2%)

Memory

30.3MiB live, 227.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(cos.f64 (*.f64 #s(literal 2 binary64) x))
accuracy	0.209316259768442	(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
accuracy	0.30992038210878814	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))))
accuracy	4.820439971248627	(.f64 (.f64 c x) s)
accuracy	4.752188698485349	(/.f64 (/.f64 #s(approx (/ (cos (* 2 x)) (* x x)) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) x) x)) (.f64 (*.f64 s c) c)) s)
accuracy	13.092545540912928	(/.f64 #s(approx (/ (cos (* 2 x)) (* x x)) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) x) x)) (.f64 (*.f64 s c) c))
accuracy	15.676883278230779	(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
accuracy	32.35941427147949	#s(approx (/ (cos (* 2 x)) (* x x)) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
accuracy	0.140625	(.f64 (.f64 (neg.f64 c) x) x)
accuracy	0.6491815936046802	(/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))
accuracy	10.590782196553947	(/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) (.f64 (.f64 (neg.f64 c) x) x))
accuracy	12.553971775447522	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) (.f64 (.f64 (neg.f64 c) x) x)))
accuracy	4.5529608216730395	(.f64 (.f64 (*.f64 c x) c) x)
accuracy	4.716148086414474	(.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)
accuracy	5.008437507438246	(.f64 (.f64 (.f64 (.f64 c x) c) x) s)
accuracy	12.553971775447522	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s))))
accuracy	0.30992038210878814	(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))) (.f64 (pow.f64 (.f64 x (*.f64 c s)) #s(literal 2 binary64)) #s(literal 2 binary64)))
accuracy	0.3292241552983505	(+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))
accuracy	3.7791077173444987	(.f64 x (.f64 c s))
accuracy	16.097987470982467	(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))

Samples

86.0ms	76×	2	valid
59.0ms	136×	0	valid
24.0ms	44×	1	valid

Compiler

Compiled 380 to 55 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

ival-mult: 40.0ms (38% of total)

ival-cos: 21.0ms (20% of total)

ival-div: 16.0ms (15.2% of total)

adjust: 10.0ms (9.5% of total)

ival-pow2: 7.0ms (6.7% of total)

ival-add: 5.0ms (4.8% of total)

ival-sub: 4.0ms (3.8% of total)

exact: 1.0ms (1% of total)

ival-neg: 1.0ms (1% of total)

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

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

series176.0ms (1.8%)

Memory

-27.2MiB live, 93.9MiB allocated

Counts

29 → 792

Calls

Call 1

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

Outputs
#s(alt 2 (taylor 0 x) (#s(alt (-.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))) (patch (-.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -4 (pow x 2))) (taylor 0 x) (#s(alt (-.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))) (patch (-.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (- (* 4/3 (pow x 2)) 4))) (taylor 0 x) (#s(alt (-.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))) (patch (-.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 4/3 (* -8/45 (pow x 2)))) 4))) (taylor 0 x) (#s(alt (-.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))) (patch (-.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (patch (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -2 (pow x 2))) (taylor 0 x) (#s(alt (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (patch (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) (taylor 0 x) (#s(alt (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (patch (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) (taylor 0 x) (#s(alt (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (patch (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (cos.f64 (+.f64 x x)) (patch (cos.f64 (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 (pow x 2))) (taylor 0 x) (#s(alt (cos.f64 (+.f64 x x)) (patch (cos.f64 (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) (taylor 0 x) (#s(alt (cos.f64 (+.f64 x x)) (patch (cos.f64 (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) (taylor 0 x) (#s(alt (cos.f64 (+.f64 x x)) (patch (cos.f64 (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (patch (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2 (* -2/3 (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (patch (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2 (* (pow x 2) (- (* 4/45 (pow x 2)) 2/3)))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (patch (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 4/45 (* -2/315 (pow x 2)))) 2/3)))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (patch (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 (.f64 (.f64 c x) c) x) s) s)))) (patch #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 (.f64 (.f64 c x) c) x) s) s)))) (patch #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 (.f64 (.f64 c x) c) x) s) s)))) (patch #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 (.f64 (.f64 c x) c) x) s) s)))) (patch #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 (.f64 (.f64 c x) c) x) s) s))) (patch (/.f64 #s(literal 1 binary64) #s(approx ( (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 (.f64 (.f64 c x) c) x) s) s))) (patch (/.f64 #s(literal 1 binary64) #s(approx ( (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 (.f64 (.f64 c x) c) x) s) s))) (patch (/.f64 #s(literal 1 binary64) #s(approx ( (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 (.f64 (.f64 c x) c) x) s) s))) (patch (/.f64 #s(literal 1 binary64) #s(approx ( (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 (.f64 (.f64 c x) c) x) s) s)) (patch #s(approx ( (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 (.f64 (.f64 c x) c) x) s) s)) (patch #s(approx ( (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 (.f64 (.f64 c x) c) x) s) s)) (patch #s(approx ( (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 (.f64 (.f64 c x) c) x) s) s)) (patch #s(approx ( (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* s (pow x 2))) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 (.f64 c x) c) x) s) (patch (.f64 (.f64 (.f64 (.f64 c x) c) x) s) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* s (pow x 2))) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 (.f64 c x) c) x) s) (patch (.f64 (.f64 (.f64 (.f64 c x) c) x) s) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* s (pow x 2))) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 (.f64 c x) c) x) s) (patch (.f64 (.f64 (.f64 (.f64 c x) c) x) s) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* s (pow x 2))) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 (.f64 c x) c) x) s) (patch (.f64 (.f64 (.f64 (.f64 c x) c) x) s) #<representation binary64>) () ())) ())
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#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) (.f64 (.f64 (neg.f64 c) x) x)) (patch (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) (.f64 (.f64 (neg.f64 c) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) (.f64 (.f64 (neg.f64 c) x) x)) (patch (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) (.f64 (.f64 (neg.f64 c) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) (.f64 (.f64 (neg.f64 c) x) x)) (patch (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) (.f64 (.f64 (neg.f64 c) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) (.f64 (.f64 (neg.f64 c) x) x)) (patch (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) (.f64 (.f64 (neg.f64 c) x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (pow x 2))) (taylor -inf c) (#s(alt (.f64 (.f64 (neg.f64 c) x) x) (patch (.f64 (.f64 (neg.f64 c) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (pow x 2))) (taylor -inf c) (#s(alt (.f64 (.f64 (neg.f64 c) x) x) (patch (.f64 (.f64 (neg.f64 c) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (pow x 2))) (taylor -inf c) (#s(alt (.f64 (.f64 (neg.f64 c) x) x) (patch (.f64 (.f64 (neg.f64 c) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (pow x 2))) (taylor -inf c) (#s(alt (.f64 (.f64 (neg.f64 c) x) x) (patch (.f64 (.f64 (neg.f64 c) x) x) #<representation binary64>) () ())) ())
#s(alt (* c (* s x)) (taylor -inf c) (#s(alt (.f64 (.f64 c x) s) (patch (.f64 (.f64 c x) s) #<representation binary64>) () ())) ())
#s(alt (* c (* s x)) (taylor -inf c) (#s(alt (.f64 (.f64 c x) s) (patch (.f64 (.f64 c x) s) #<representation binary64>) () ())) ())
#s(alt (* c (* s x)) (taylor -inf c) (#s(alt (.f64 (.f64 c x) s) (patch (.f64 (.f64 c x) s) #<representation binary64>) () ())) ())
#s(alt (* c (* s x)) (taylor -inf c) (#s(alt (.f64 (.f64 c x) s) (patch (.f64 (.f64 c x) s) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (.f64 (.f64 (.f64 c x) s) (.f64 (.f64 c x) s)) (patch (.f64 (.f64 (.f64 c x) s) (.f64 (.f64 c x) s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (.f64 (.f64 (.f64 c x) s) (.f64 (.f64 c x) s)) (patch (.f64 (.f64 (.f64 c x) s) (.f64 (.f64 c x) s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (.f64 (.f64 (.f64 c x) s) (.f64 (.f64 c x) s)) (patch (.f64 (.f64 (.f64 c x) s) (.f64 (.f64 c x) s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (.f64 (.f64 (.f64 c x) s) (.f64 (.f64 c x) s)) (patch (.f64 (.f64 (.f64 c x) s) (.f64 (.f64 c x) s)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
54.0ms	c	@	-inf	((- (+ (cos (+ x x)) 1) (- 1 (cos (+ x x)))) (+ (cos (+ x x)) 1) (cos (+ x x)) (- 1 (cos (+ x x))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* c x) (* (* (* s s) x) c))) (* (* c x) (* (* (* s s) x) c)) (* (* (* (* c x) c) x) s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ -1 (* (* s c) s)) (* (* s c) s) (* s c) (/ (/ (/ (cos (* 2 x)) (* x x)) (* (* s c) c)) s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (cos (* 2 x)) (* x x)) (* (* s c) c)) (/ (cos (* 2 x)) (* x x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (* c s)) (/ (- (+ (cos (+ x x)) 1) (- 1 (cos (+ x x)))) (* (pow (* x (* c s)) 2) 2)) (* (* (* (* (* c x) c) x) s) s) (* (* (* c x) c) x) (/ (/ -1 (* (* s c) s)) (* (* (neg c) x) x)) (* (* (neg c) x) x) (/ (+ (* -2 (* x x)) 1) x) (* (* c x) s) (* (* (* c x) s) (* (* c x) s)))
23.0ms	x	@	-inf	((- (+ (cos (+ x x)) 1) (- 1 (cos (+ x x)))) (+ (cos (+ x x)) 1) (cos (+ x x)) (- 1 (cos (+ x x))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* c x) (* (* (* s s) x) c))) (* (* c x) (* (* (* s s) x) c)) (* (* (* (* c x) c) x) s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ -1 (* (* s c) s)) (* (* s c) s) (* s c) (/ (/ (/ (cos (* 2 x)) (* x x)) (* (* s c) c)) s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (cos (* 2 x)) (* x x)) (* (* s c) c)) (/ (cos (* 2 x)) (* x x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (* c s)) (/ (- (+ (cos (+ x x)) 1) (- 1 (cos (+ x x)))) (* (pow (* x (* c s)) 2) 2)) (* (* (* (* (* c x) c) x) s) s) (* (* (* c x) c) x) (/ (/ -1 (* (* s c) s)) (* (* (neg c) x) x)) (* (* (neg c) x) x) (/ (+ (* -2 (* x x)) 1) x) (* (* c x) s) (* (* (* c x) s) (* (* c x) s)))
4.0ms	x	@	inf	((- (+ (cos (+ x x)) 1) (- 1 (cos (+ x x)))) (+ (cos (+ x x)) 1) (cos (+ x x)) (- 1 (cos (+ x x))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* c x) (* (* (* s s) x) c))) (* (* c x) (* (* (* s s) x) c)) (* (* (* (* c x) c) x) s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ -1 (* (* s c) s)) (* (* s c) s) (* s c) (/ (/ (/ (cos (* 2 x)) (* x x)) (* (* s c) c)) s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (cos (* 2 x)) (* x x)) (* (* s c) c)) (/ (cos (* 2 x)) (* x x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (* c s)) (/ (- (+ (cos (+ x x)) 1) (- 1 (cos (+ x x)))) (* (pow (* x (* c s)) 2) 2)) (* (* (* (* (* c x) c) x) s) s) (* (* (* c x) c) x) (/ (/ -1 (* (* s c) s)) (* (* (neg c) x) x)) (* (* (neg c) x) x) (/ (+ (* -2 (* x x)) 1) x) (* (* c x) s) (* (* (* c x) s) (* (* c x) s)))
4.0ms	c	@	inf	((- (+ (cos (+ x x)) 1) (- 1 (cos (+ x x)))) (+ (cos (+ x x)) 1) (cos (+ x x)) (- 1 (cos (+ x x))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* c x) (* (* (* s s) x) c))) (* (* c x) (* (* (* s s) x) c)) (* (* (* (* c x) c) x) s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ -1 (* (* s c) s)) (* (* s c) s) (* s c) (/ (/ (/ (cos (* 2 x)) (* x x)) (* (* s c) c)) s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (cos (* 2 x)) (* x x)) (* (* s c) c)) (/ (cos (* 2 x)) (* x x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (* c s)) (/ (- (+ (cos (+ x x)) 1) (- 1 (cos (+ x x)))) (* (pow (* x (* c s)) 2) 2)) (* (* (* (* (* c x) c) x) s) s) (* (* (* c x) c) x) (/ (/ -1 (* (* s c) s)) (* (* (neg c) x) x)) (* (* (neg c) x) x) (/ (+ (* -2 (* x x)) 1) x) (* (* c x) s) (* (* (* c x) s) (* (* c x) s)))
4.0ms	s	@	-inf	((- (+ (cos (+ x x)) 1) (- 1 (cos (+ x x)))) (+ (cos (+ x x)) 1) (cos (+ x x)) (- 1 (cos (+ x x))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* c x) (* (* (* s s) x) c))) (* (* c x) (* (* (* s s) x) c)) (* (* (* (* c x) c) x) s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ -1 (* (* s c) s)) (* (* s c) s) (* s c) (/ (/ (/ (cos (* 2 x)) (* x x)) (* (* s c) c)) s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (cos (* 2 x)) (* x x)) (* (* s c) c)) (/ (cos (* 2 x)) (* x x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (* c s)) (/ (- (+ (cos (+ x x)) 1) (- 1 (cos (+ x x)))) (* (pow (* x (* c s)) 2) 2)) (* (* (* (* (* c x) c) x) s) s) (* (* (* c x) c) x) (/ (/ -1 (* (* s c) s)) (* (* (neg c) x) x)) (* (* (neg c) x) x) (/ (+ (* -2 (* x x)) 1) x) (* (* c x) s) (* (* (* c x) s) (* (* c x) s)))

simplify265.0ms (2.7%)

Memory

16.5MiB live, 178.7MiB allocated

Algorithm

1×	egg-herbie

Rules

15 180×	`lower-fma.f64`
15 180×	`lower-fma.f32`
6 558×	`lower-*.f64`
6 558×	`lower-*.f32`
2 282×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	8998
1	342	8998
2	966	8904
3	3281	8826
4	6163	8826
0	8080	8739

Stop Event

1×	iter limit
1×	node limit

Counts

792 → 792

Calls

Call 1

Inputs
2
(+ 2 (* -4 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 4/3 (pow x 2)) 4)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 4/3 (* -8/45 (pow x 2)))) 4)))
2
(+ 2 (* -2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* -2/3 (pow x 2))))
(* (pow x 2) (+ 2 (* (pow x 2) (- (* 4/45 (pow x 2)) 2/3))))
(* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 4/45 (* -2/315 (pow x 2)))) 2/3))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* s (pow x 2)))
(* (pow c 2) (* s (pow x 2)))
(* (pow c 2) (* s (pow x 2)))
(* (pow c 2) (* s (pow x 2)))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ 1 (* (pow c 2) (* s (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) s))) (/ 1 (* (pow c 2) s))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) s))) (* 2 (/ 1 (* (pow c 2) s))))) (/ 1 (* (pow c 2) s))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) s))) (* 2/3 (/ 1 (* (pow c 2) s))))) (* 2 (/ 1 (* (pow c 2) s))))) (/ 1 (* (pow c 2) s))) (pow x 2))
(/ 1 (pow x 2))
(/ (+ 1 (* -2 (pow x 2))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) (pow x 2))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (pow x 2))
(* (pow c 2) (pow x 2))
(* (pow c 2) (pow x 2))
(* (pow c 2) (pow x 2))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(* -1 (* c (pow x 2)))
(* -1 (* c (pow x 2)))
(* -1 (* c (pow x 2)))
(* -1 (* c (pow x 2)))
(/ 1 x)
(/ (+ 1 (* -2 (pow x 2))) x)
(/ (+ 1 (* -2 (pow x 2))) x)
(/ (+ 1 (* -2 (pow x 2))) x)
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* 2 (cos (* 2 x)))
(* 2 (cos (* 2 x)))
(* 2 (cos (* 2 x)))
(* 2 (cos (* 2 x)))
(+ 1 (cos (* 2 x)))
(+ 1 (cos (* 2 x)))
(+ 1 (cos (* 2 x)))
(+ 1 (cos (* 2 x)))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(- 1 (cos (* 2 x)))
(- 1 (cos (* 2 x)))
(- 1 (cos (* 2 x)))
(- 1 (cos (* 2 x)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* s (pow x 2)))
(* (pow c 2) (* s (pow x 2)))
(* (pow c 2) (* s (pow x 2)))
(* (pow c 2) (* s (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* s (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* s (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* s (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* s (pow x 2))))
(/ (cos (* 2 x)) (pow x 2))
(/ (cos (* 2 x)) (pow x 2))
(/ (cos (* 2 x)) (pow x 2))
(/ (cos (* 2 x)) (pow x 2))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (pow x 2))
(* (pow c 2) (pow x 2))
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(* (pow c 2) (* s (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -1 (* c (pow s 2)))
(/ -1 (* c (pow s 2)))
(/ -1 (* c (pow s 2)))
(/ -1 (* c (pow s 2)))
(* c (pow s 2))
(* c (pow s 2))
(* c (pow s 2))
(* c (pow s 2))
(* c s)
(* c s)
(* c s)
(* c s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* s (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* s (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* s (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* s (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (pow x 2))
(* (pow c 2) (pow x 2))
(* (pow c 2) (pow x 2))
(* (pow c 2) (pow x 2))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(* -1 (* c (pow x 2)))
(* -1 (* c (pow x 2)))
(* -1 (* c (pow x 2)))
(* -1 (* c (pow x 2)))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* s (pow x 2)))
(* (pow c 2) (* s (pow x 2)))
(* (pow c 2) (* s (pow x 2)))
(* (pow c 2) (* s (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -1 (* c (pow s 2)))
(/ -1 (* c (pow s 2)))
(/ -1 (* c (pow s 2)))
(/ -1 (* c (pow s 2)))
(* c (pow s 2))
(* c (pow s 2))
(* c (pow s 2))
(* c (pow s 2))
(* c s)
(* c s)
(* c s)
(* c s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* s (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* s (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* s (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* s (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (pow x 2))
(* (pow c 2) (pow x 2))
(* (pow c 2) (pow x 2))
(* (pow c 2) (pow x 2))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(* -1 (* c (pow x 2)))
(* -1 (* c (pow x 2)))
(* -1 (* c (pow x 2)))
(* -1 (* c (pow x 2)))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))

Outputs
2
#s(literal 2 binary64)
(+ 2 (* -4 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* 4/3 (pow x 2)) 4)))
(fma.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 x x) #s(literal -4 binary64)) (.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 4/3 (* -8/45 (pow x 2)))) 4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -8/45 binary64) (.f64 x x) #s(literal 4/3 binary64)) (.f64 x x) #s(literal -4 binary64)) (*.f64 x x) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -2 (pow x 2)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (+ 2 (* -2/3 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) x)
(* (pow x 2) (+ 2 (* (pow x 2) (- (* 4/45 (pow x 2)) 2/3))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (.f64 x x) #s(literal -2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x) x)
(* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 4/45 (* -2/315 (pow x 2)))) 2/3))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/315 binary64) (.f64 x x) #s(literal 4/45 binary64)) (.f64 x x) #s(literal -2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) x)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) s) c) (.f64 c (.f64 x x)))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) s) c) c)) (*.f64 x x))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (.f64 (/.f64 x (.f64 (.f64 s s) c)) (/.f64 x c)) (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) s) c) c)) (*.f64 x x))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (.f64 (.f64 (/.f64 x (.f64 (.f64 s s) c)) (/.f64 x c)) (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64))) (.f64 x x) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) s) c) c))) (*.f64 x x))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) s) c) (.f64 c (.f64 x x)))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) s) c) (.f64 c (.f64 x x)))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) s) c) (.f64 c (.f64 x x)))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) s) c) (.f64 c (.f64 x x)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 s (.f64 c c)) x) (*.f64 s x))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 s (.f64 c c)) x) (*.f64 s x))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 s (.f64 c c)) x) (*.f64 s x))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 s (.f64 c c)) x) (*.f64 s x))
(* (pow c 2) (* s (pow x 2)))
(.f64 (.f64 (.f64 s (.f64 c c)) x) x)
(* (pow c 2) (* s (pow x 2)))
(.f64 (.f64 (.f64 s (.f64 c c)) x) x)
(* (pow c 2) (* s (pow x 2)))
(.f64 (.f64 (.f64 s (.f64 c c)) x) x)
(* (pow c 2) (* s (pow x 2)))
(.f64 (.f64 (.f64 s (.f64 c c)) x) x)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) s) c) (.f64 c (.f64 x x)))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) s) c) c)) (*.f64 x x))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (.f64 (/.f64 x (.f64 (.f64 s s) c)) (/.f64 x c)) (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) s) c) c)) (*.f64 x x))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (.f64 (.f64 (/.f64 x (.f64 (.f64 s s) c)) (/.f64 x c)) (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64))) (.f64 x x) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) s) c) c))) (*.f64 x x))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) s) c) (.f64 c (.f64 x x)))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) s) c) c)) (*.f64 x x))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (.f64 (/.f64 x (.f64 (.f64 s s) c)) (/.f64 x c)) (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) s) c) c)) (*.f64 x x))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (.f64 (.f64 (/.f64 x (.f64 (.f64 s s) c)) (/.f64 x c)) (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64))) (.f64 x x) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) s) c) c))) (*.f64 x x))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) s) c) (.f64 c (.f64 x x)))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) s) c) c)) (*.f64 x x))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (.f64 (/.f64 x (.f64 (.f64 s s) c)) (/.f64 x c)) (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) s) c) c)) (*.f64 x x))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (.f64 (.f64 (/.f64 x (.f64 (.f64 s s) c)) (/.f64 x c)) (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64))) (.f64 x x) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) s) c) c))) (*.f64 x x))
(/ 1 (* (pow c 2) (* s (pow x 2))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (.f64 c (.f64 x x)))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) s))) (/ 1 (* (pow c 2) s))) (pow x 2))
(/.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 s (.f64 c c)))) (*.f64 x x))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) s))) (* 2 (/ 1 (* (pow c 2) s))))) (/ 1 (* (pow c 2) s))) (pow x 2))
(/.f64 (fma.f64 (.f64 (/.f64 (/.f64 x c) s) (/.f64 x c)) (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 s (.f64 c c)))) (*.f64 x x))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) s))) (* 2/3 (/ 1 (* (pow c 2) s))))) (* 2 (/ 1 (* (pow c 2) s))))) (/ 1 (* (pow c 2) s))) (pow x 2))
(/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 x (.f64 c c)) s) (.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) (/.f64 #s(literal -2 binary64) (.f64 s (.f64 c c)))) (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 s (.f64 c c)))) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* -2 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)
(/ (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) s) c) (.f64 c (.f64 x x)))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) s) c) c)) (*.f64 x x))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
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(* -1 (* c (pow x 2)))
(.f64 (.f64 (neg.f64 c) x) x)
(* -1 (* c (pow x 2)))
(.f64 (.f64 (neg.f64 c) x) x)
(* -1 (* c (pow x 2)))
(.f64 (.f64 (neg.f64 c) x) x)
(* -1 (* c (pow x 2)))
(.f64 (.f64 (neg.f64 c) x) x)
(* c (* s x))
(.f64 (.f64 s x) c)
(* c (* s x))
(.f64 (.f64 s x) c)
(* c (* s x))
(.f64 (.f64 s x) c)
(* c (* s x))
(.f64 (.f64 s x) c)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 s (.f64 c c)) x) (*.f64 s x))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 s (.f64 c c)) x) (*.f64 s x))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 s (.f64 c c)) x) (*.f64 s x))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 s (.f64 c c)) x) (*.f64 s x))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 s s) c)) (.f64 c (*.f64 x x)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 s s) c)) (.f64 c (*.f64 x x)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 s s) c)) (.f64 c (*.f64 x x)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 s s) c)) (.f64 c (*.f64 x x)))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) s) c) (.f64 c (.f64 x x)))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) s) c) (.f64 c (.f64 x x)))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) s) c) (.f64 c (.f64 x x)))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) s) c) (.f64 c (.f64 x x)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 s (.f64 c c)) x) (*.f64 s x))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 s (.f64 c c)) x) (*.f64 s x))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 s (.f64 c c)) x) (*.f64 s x))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 s (.f64 c c)) x) (*.f64 s x))
(* (pow c 2) (* s (pow x 2)))
(.f64 (.f64 (.f64 s (.f64 c c)) x) x)
(* (pow c 2) (* s (pow x 2)))
(.f64 (.f64 (.f64 s (.f64 c c)) x) x)
(* (pow c 2) (* s (pow x 2)))
(.f64 (.f64 (.f64 s (.f64 c c)) x) x)
(* (pow c 2) (* s (pow x 2)))
(.f64 (.f64 (.f64 s (.f64 c c)) x) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 s s) c)) (.f64 c (*.f64 x x)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 s s) c)) (.f64 c (*.f64 x x)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 s s) c)) (.f64 c (*.f64 x x)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 s s) c)) (.f64 c (*.f64 x x)))
(/ -1 (* c (pow s 2)))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) s) s) c)
(/ -1 (* c (pow s 2)))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) s) s) c)
(/ -1 (* c (pow s 2)))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) s) s) c)
(/ -1 (* c (pow s 2)))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) s) s) c)
(* c (pow s 2))
(.f64 (.f64 s s) c)
(* c (pow s 2))
(.f64 (.f64 s s) c)
(* c (pow s 2))
(.f64 (.f64 s s) c)
(* c (pow s 2))
(.f64 (.f64 s s) c)
(* c s)
(*.f64 s c)
(* c s)
(*.f64 s c)
(* c s)
(*.f64 s c)
(* c s)
(*.f64 s c)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 s s) c)) (.f64 c (*.f64 x x)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 s s) c)) (.f64 c (*.f64 x x)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 s s) c)) (.f64 c (*.f64 x x)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 s s) c)) (.f64 c (*.f64 x x)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 s s) c)) (.f64 c (*.f64 x x)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 s s) c)) (.f64 c (*.f64 x x)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 s s) c)) (.f64 c (*.f64 x x)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 s s) c)) (.f64 c (*.f64 x x)))
(/ (cos (* 2 x)) (* (pow c 2) (* s (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 s c)) (*.f64 c x)) x)
(/ (cos (* 2 x)) (* (pow c 2) (* s (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 s c)) (*.f64 c x)) x)
(/ (cos (* 2 x)) (* (pow c 2) (* s (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 s c)) (*.f64 c x)) x)
(/ (cos (* 2 x)) (* (pow c 2) (* s (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 s c)) (*.f64 c x)) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 s s) c)) (.f64 c (*.f64 x x)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 s s) c)) (.f64 c (*.f64 x x)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 s s) c)) (.f64 c (*.f64 x x)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 s s) c)) (.f64 c (*.f64 x x)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 s (.f64 c c)) x) (*.f64 s x))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 s (.f64 c c)) x) (*.f64 s x))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 s (.f64 c c)) x) (*.f64 s x))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 s (.f64 c c)) x) (*.f64 s x))
(* c (* s x))
(.f64 (.f64 s x) c)
(* c (* s x))
(.f64 (.f64 s x) c)
(* c (* s x))
(.f64 (.f64 s x) c)
(* c (* s x))
(.f64 (.f64 s x) c)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 s s) c)) (.f64 c (*.f64 x x)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 s s) c)) (.f64 c (*.f64 x x)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 s s) c)) (.f64 c (*.f64 x x)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 s s) c)) (.f64 c (*.f64 x x)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 s (.f64 c c)) x) (*.f64 s x))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 s (.f64 c c)) x) (*.f64 s x))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 s (.f64 c c)) x) (*.f64 s x))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 s (.f64 c c)) x) (*.f64 s x))
(* (pow c 2) (pow x 2))
(.f64 (.f64 (*.f64 c x) c) x)
(* (pow c 2) (pow x 2))
(.f64 (.f64 (*.f64 c x) c) x)
(* (pow c 2) (pow x 2))
(.f64 (.f64 (*.f64 c x) c) x)
(* (pow c 2) (pow x 2))
(.f64 (.f64 (*.f64 c x) c) x)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) s) c) (.f64 c (.f64 x x)))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) s) c) (.f64 c (.f64 x x)))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) s) c) (.f64 c (.f64 x x)))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) s) c) (.f64 c (.f64 x x)))
(* -1 (* c (pow x 2)))
(.f64 (.f64 (neg.f64 c) x) x)
(* -1 (* c (pow x 2)))
(.f64 (.f64 (neg.f64 c) x) x)
(* -1 (* c (pow x 2)))
(.f64 (.f64 (neg.f64 c) x) x)
(* -1 (* c (pow x 2)))
(.f64 (.f64 (neg.f64 c) x) x)
(* c (* s x))
(.f64 (.f64 s x) c)
(* c (* s x))
(.f64 (.f64 s x) c)
(* c (* s x))
(.f64 (.f64 s x) c)
(* c (* s x))
(.f64 (.f64 s x) c)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 s (.f64 c c)) x) (*.f64 s x))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 s (.f64 c c)) x) (*.f64 s x))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 s (.f64 c c)) x) (*.f64 s x))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 s (.f64 c c)) x) (*.f64 s x))

rewrite110.0ms (1.1%)

Memory

-10.1MiB live, 113.3MiB allocated

Rules

1 238×	`lower-*.f32`
1 204×	`lower-*.f64`
1 194×	`lower-/.f32`
1 176×	`lower-/.f64`
418×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	437
0	100	409
1	350	365
0	2094	365

Stop Event

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

Counts

29 → 431

Calls

Call 1

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

Outputs
(.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))))
(.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))) (pow.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 0 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (+.f64 #s(literal 0 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (-.f64 (+.f64 #s(literal 0 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (cos.f64 (.f64 #s(literal 2 binary64) x))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 0 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (+.f64 #s(literal 0 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (-.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 0 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (-.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))) (-.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 0 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 0 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (+.f64 #s(literal 0 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (-.f64 (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 0 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (cos.f64 (.f64 #s(literal 2 binary64) x))))))
(/.f64 (+.f64 (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 0 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (-.f64 (.f64 (+.f64 #s(literal 0 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (+.f64 #s(literal 0 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)))))
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(exp.f64 (.f64 (log.f64 (.f64 (*.f64 s c) x)) #s(literal 2 binary64)))
(.f64 (.f64 x (*.f64 c x)) c)
(.f64 (.f64 (*.f64 c x) x) c)
(.f64 (.f64 x x) (*.f64 c c))
(.f64 (.f64 (*.f64 c x) c) x)
(.f64 (.f64 c x) (*.f64 c x))
(.f64 (.f64 c c) (*.f64 x x))
(.f64 c (.f64 x (*.f64 c x)))
(.f64 c (.f64 (*.f64 c x) x))
(.f64 x (.f64 (*.f64 c x) c))
(pow.f64 (*.f64 c x) #s(literal 2 binary64))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 c) x)) (/.f64 (pow.f64 (.f64 (.f64 s c) s) #s(literal -1 binary64)) x))
(.f64 (/.f64 #s(literal -1 binary64) (neg.f64 c)) (/.f64 (pow.f64 (.f64 (.f64 s c) s) #s(literal -1 binary64)) (.f64 x x)))
(.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 (.f64 (.f64 s c) s) #s(literal -1 binary64)) (.f64 (neg.f64 c) x)))
(.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (*.f64 s c) s)) x) (neg.f64 c)) (pow.f64 x #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (neg.f64 c) x) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (*.f64 s c) s)))
(.f64 (pow.f64 (.f64 (.f64 s c) s) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (*.f64 (neg.f64 c) x))))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) (pow.f64 (.f64 (*.f64 (neg.f64 c) x) x) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 (.f64 (.f64 s c) s) #s(literal -1 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 c) x) x) #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (.f64 (.f64 s c) s) #s(literal -1 binary64)) (.f64 (*.f64 (neg.f64 c) x) x)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (neg.f64 c) x) x) s) (.f64 s c))))
(.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) x) (.f64 (neg.f64 c) x)))
(pow.f64 (.f64 (/.f64 (.f64 (.f64 (neg.f64 c) x) x) #s(literal -1 binary64)) (.f64 (*.f64 s c) s)) #s(literal -1 binary64))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) (neg.f64 c)) (*.f64 x x))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) x) (*.f64 (neg.f64 c) x))
(/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 c) x) x)) (.f64 (.f64 s c) s))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 s c)) (pow.f64 (.f64 (.f64 (neg.f64 c) x) x) #s(literal -1 binary64))) s)
(/.f64 (.f64 #s(literal -1 binary64) (pow.f64 (.f64 (.f64 (neg.f64 c) x) x) #s(literal -1 binary64))) (.f64 (*.f64 s c) s))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) #s(literal 1 binary64)) (.f64 (*.f64 (neg.f64 c) x) x))
(/.f64 (neg.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) x) (neg.f64 c))) (neg.f64 x))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 s c)) #s(literal 1 binary64)) (.f64 s (.f64 (*.f64 (neg.f64 c) x) x)))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) x) (neg.f64 c)) x)
(/.f64 (/.f64 #s(literal -1 binary64) (.f64 s c)) (.f64 (.f64 (.f64 (neg.f64 c) x) x) s))
(/.f64 (pow.f64 (.f64 (.f64 (neg.f64 c) x) x) #s(literal -1 binary64)) (.f64 (.f64 (*.f64 s c) s) #s(literal -1 binary64)))
(/.f64 (pow.f64 (.f64 (.f64 (neg.f64 c) x) x) #s(literal -1 binary64)) (.f64 (neg.f64 s) (.f64 s c)))
(/.f64 (pow.f64 (.f64 (.f64 s c) s) #s(literal -1 binary64)) (.f64 (neg.f64 x) (.f64 (neg.f64 c) x)))
(/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) (neg.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 c) x))))
(/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) (.f64 (.f64 (neg.f64 c) x) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (/.f64 (.f64 (.f64 (neg.f64 c) x) x) #s(literal -1 binary64)) (.f64 (*.f64 s c) s))))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 (.f64 (neg.f64 c) x) x) s) (*.f64 s c)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (neg.f64 c) x) x) (.f64 (neg.f64 s) (*.f64 s c))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) x) (neg.f64 c))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 (neg.f64 c) x) x) s) (*.f64 s c)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 (neg.f64 c) x) x) #s(literal -1 binary64)) (.f64 (*.f64 s c) s)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 (.f64 (.f64 (neg.f64 c) x) x) s) (*.f64 s c))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 s c) s) #s(literal -1 binary64)) (.f64 (.f64 (neg.f64 c) x) x)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 s) (.f64 s c)) (.f64 (*.f64 (neg.f64 c) x) x)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (neg.f64 c) x) x) #s(literal -1 binary64)) (.f64 (*.f64 s c) s)))
(neg.f64 (/.f64 (pow.f64 (.f64 (.f64 s c) s) #s(literal -1 binary64)) (.f64 (.f64 (neg.f64 c) x) x)))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) (.f64 (neg.f64 x) (.f64 (neg.f64 c) x))))
(.f64 (.f64 x x) (neg.f64 c))
(.f64 (.f64 (neg.f64 c) x) x)
(.f64 (neg.f64 c) (.f64 x x))
(.f64 #s(literal -1 binary64) (.f64 c (*.f64 x x)))
(.f64 x (.f64 (neg.f64 c) x))
(neg.f64 (.f64 x (.f64 c x)))
(neg.f64 (.f64 (.f64 c x) x))
(neg.f64 (.f64 c (.f64 x x)))
(.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
(.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) x))
(pow.f64 (/.f64 x (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal -2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))) (neg.f64 (neg.f64 x)))
(/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)) x))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 x x) #s(literal -2 binary64))) x))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (.f64 x (-.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) x))
(.f64 (pow.f64 (.f64 (.f64 s c) x) #s(literal 1/2 binary64)) (pow.f64 (.f64 (*.f64 s c) x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 c x) #s(literal 1 binary64)) s)
(.f64 (pow.f64 (.f64 s c) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (.f64 s c) #s(literal 1 binary64)))
(.f64 (.f64 s x) c)
(.f64 (.f64 s c) x)
(.f64 (.f64 c x) s)
(.f64 s (pow.f64 (.f64 c x) #s(literal 1 binary64)))
(.f64 s (.f64 c x))
(.f64 c (pow.f64 (.f64 s x) #s(literal 1 binary64)))
(.f64 c (.f64 s x))
(.f64 x (.f64 s c))
(pow.f64 (.f64 (.f64 s c) x) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 s c) x)) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 (.f64 s c) x) (*.f64 s c)) x)
(.f64 (.f64 (.f64 (.f64 (*.f64 s s) x) c) c) x)
(.f64 (.f64 s (.f64 (.f64 c x) c)) (*.f64 s x))
(.f64 (.f64 (.f64 (.f64 s c) x) c) (*.f64 s x))
(.f64 (.f64 (.f64 (.f64 s c) x) x) (*.f64 s c))
(.f64 (exp.f64 (log.f64 (.f64 (.f64 s c) x))) (exp.f64 (log.f64 (.f64 (*.f64 s c) x))))
(.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) (*.f64 x x))
(.f64 (.f64 (.f64 (.f64 (*.f64 s s) x) c) x) c)
(.f64 (.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)
(.f64 (.f64 (.f64 s c) x) (.f64 (*.f64 s c) x))
(.f64 (.f64 x x) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))
(.f64 (.f64 s c) (.f64 x (.f64 (*.f64 s c) x)))
(.f64 (.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s) s)
(.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) (*.f64 s s))
(.f64 (.f64 (.f64 c x) c) (.f64 (*.f64 s s) x))
(.f64 (.f64 c x) (.f64 (.f64 (*.f64 s s) x) c))
(.f64 (.f64 (.f64 (.f64 s s) x) c) (*.f64 c x))
(.f64 (.f64 (.f64 s s) x) (.f64 (*.f64 c x) c))
(.f64 (.f64 s s) (pow.f64 (*.f64 c x) #s(literal 2 binary64)))
(.f64 (.f64 (.f64 s x) (.f64 s x)) (*.f64 c c))
(.f64 s (.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s))
(.f64 (.f64 c c) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(.f64 (.f64 c c) (.f64 (.f64 s x) (*.f64 s x)))
(.f64 c (.f64 (.f64 s x) (.f64 (*.f64 s c) x)))
(.f64 c (.f64 (.f64 (.f64 (*.f64 s s) x) c) x))
(.f64 x (.f64 (.f64 s c) (.f64 (*.f64 s c) x)))
(.f64 x (.f64 x (pow.f64 (*.f64 s c) #s(literal 2 binary64))))
(.f64 x (.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))
(pow.f64 (exp.f64 (log.f64 (.f64 (.f64 s c) x))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 s c) x) #s(literal 2 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 s c) x) #s(literal 2 binary64)) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 s c) x)) #s(literal 2 binary64)))

eval212.0ms (2.1%)

Memory: 31.2MiB live, 260.2MiB allocated
Compiler: Compiled 26 321 to 1 905 computations (92.8% saved)

prune319.0ms (3.2%)

Memory

-11.1MiB live, 277.2MiB allocated

Pruning

46 alts after pruning (44 fresh and 2 done)

	Pruned	Kept	Total
New	1 300	22	1 322
Fresh	24	22	46
Picked	3	2	5
Done	0	0	0
Total	1 327	46	1 373

Accuracy

100.0%

Counts

1 373 → 46

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.9%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 c c) x) s) x)) s)
	97.0%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (neg.f64 c) x) s)) (.f64 (*.f64 (neg.f64 c) x) s))
	75.5%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x x) c)) (.f64 (*.f64 s c) s))
	82.2%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 s x) x)) (.f64 (*.f64 s c) c))
	85.2%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) x) (.f64 s (.f64 (.f64 (*.f64 s c) c) x)))
✓	97.8%	(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))) (.f64 (pow.f64 (.f64 x (*.f64 c s)) #s(literal 2 binary64)) #s(literal 2 binary64)))
	72.9%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 x (.f64 c c)) s) (*.f64 x s)))
	96.7%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))))
	89.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 s x) c) (.f64 c x)) s))
	94.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 s c) x) (*.f64 s c)) x)))
	93.6%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s x) c) (.f64 (*.f64 c x) s))))
	73.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s s) x) (.f64 (*.f64 c x) c))))
	97.8%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s c) x) (.f64 (*.f64 s c) x))))
	80.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (* (* x (* c c)) s) (* x s)) (.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)))
	51.6%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 x (.f64 c c)) s) (.f64 x s)))
	59.1%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))))
	73.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 s (.f64 (.f64 s c) (.f64 c x)))))
	81.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) c) (.f64 (.f64 (.f64 s x) x) c)) s))
	47.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(approx (/ (cos (* 2 x)) (* x x)) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) x) x)) (.f64 s c)) c) s))
	66.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 x x)) (.f64 (*.f64 s c) c)) s))
	69.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) (neg.f64 x)) (*.f64 c x)))
	66.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) (neg.f64 c)) (*.f64 x x)))
	74.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 s c)) #s(literal -1 binary64)) (.f64 s x)) (.f64 c x)))
	50.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(approx (/ (cos (* 2 x)) (* x x)) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) x) x)) (.f64 s c)) (*.f64 s c)))
	46.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(approx (/ (cos (* 2 x)) (* x x)) (/.f64 (.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 x))) x)) (.f64 (.f64 s c) c)) s))
	66.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(approx (/ (cos (* 2 x)) (* x x)) (/.f64 #s(approx (/ (+ (* -2 (* x x)) 1) x) (/.f64 #s(literal 1 binary64) x)) x)) (.f64 (.f64 s c) c)) s))
	25.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(approx (/ (cos (* 2 x)) (* x x)) (/.f64 #s(approx (/ (+ (* -2 (* x x)) 1) x) (.f64 #s(literal -2 binary64) x)) x)) (.f64 (*.f64 s c) c)) s))
	63.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) c)) (.f64 (.f64 s c) s)))
	69.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 s c) s) (neg.f64 x))) (.f64 c x)))
	63.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s s) c)) (.f64 (.f64 (neg.f64 c) x) x)))
	77.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 c x) s)) (.f64 (.f64 (neg.f64 c) x) s)))
	67.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) (/.f64 c (/.f64 #s(literal -1 binary64) (.f64 (*.f64 s c) s))))))
	69.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 s c) s) (*.f64 c x)) x)))
	79.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 s x) c) (.f64 (*.f64 s x) c))))
	71.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) (.f64 (.f64 (*.f64 s x) s) c))))
✓	67.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s))))
	65.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 (.f64 s s) x) c) (*.f64 c x)))))
	76.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 (.f64 s c) x) c) (*.f64 s x)))))
	68.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 (.f64 c x) (*.f64 c x)) s) s))))
	66.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 s (.f64 c c)) x) (*.f64 s x)))))
	79.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 s c) x) (.f64 (*.f64 s c) x)))))
	70.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 s (.f64 (.f64 c x) c)) (*.f64 s x)))))
	73.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 c (.f64 (.f64 s x) (*.f64 c x))) s))))
	78.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 c (.f64 (.f64 s x) (.f64 (*.f64 s c) x))))))
	70.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 (.f64 (neg.f64 c) x) x) s) (*.f64 s c))))
	63.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 x x) c) (.f64 (*.f64 (neg.f64 s) c) s))))

Compiler

Compiled 2 643 to 1 043 computations (60.5% saved)

regimes280.0ms (2.8%)

Memory

9.5MiB live, 204.2MiB allocated

Counts

115 → 2

Calls

Call 1

Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 c (.f64 (.f64 s x) (.f64 (*.f64 s c) x))))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 c (.f64 (.f64 s x) (*.f64 c x))) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 s (.f64 (.f64 c x) c)) (*.f64 s x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 s c) x) (.f64 (*.f64 s c) x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 s (.f64 c c)) x) (*.f64 s x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 (.f64 c x) (*.f64 c x)) s) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 (.f64 s c) x) c) (*.f64 s x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 (.f64 s s) x) c) (*.f64 c x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) (.f64 (.f64 s s) (*.f64 c x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) (.f64 (.f64 (*.f64 s s) x) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) (.f64 (.f64 (*.f64 s x) s) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 s x) c) (.f64 (*.f64 s x) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 s c) s) (*.f64 c x)) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 s x) c) x) (*.f64 s c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 s x) c) (*.f64 c x)) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 s x) c) (*.f64 s c)) x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x (.f64 c c)) s) (*.f64 x s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 x x) c) (.f64 (*.f64 (neg.f64 s) c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 (.f64 (neg.f64 c) x) x) s) (*.f64 s c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) c)) (.f64 (.f64 s c) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (.f64 (.f64 (neg.f64 s) c) s) (.f64 c x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 c x) s)) (.f64 (.f64 (neg.f64 c) x) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) (.f64 (.f64 (neg.f64 c) x) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s s) c)) (.f64 (.f64 (neg.f64 c) x) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 s c) s) (neg.f64 x))) (.f64 c x)))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 x (.f64 c c)) s) (.f64 x s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(approx (/ (cos (* 2 x)) (* x x)) (/.f64 #s(approx (/ (+ (* -2 (* x x)) 1) x) (.f64 #s(literal -2 binary64) x)) x)) (.f64 (*.f64 s c) c)) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) c) (.f64 (*.f64 s c) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 x x)) (.f64 (*.f64 s c) c)) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (.f64 (.f64 (*.f64 s c) s) (neg.f64 x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) (neg.f64 c)) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) (neg.f64 x)) (*.f64 c x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (.f64 c x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 s c)) #s(literal -1 binary64)) (.f64 s x)) (.f64 c x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (pow (* s c) -2) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (.f64 s c))) (.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(approx (/ (cos (* 2 x)) (* x x)) (/.f64 #s(approx (/ (+ (* -2 (* x x)) 1) x) (/.f64 #s(literal 1 binary64) x)) x)) (.f64 (.f64 s c) c)) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s)))
#s(approx (/ (- (+ 1 (cos (* x 2))) (- 1 (cos (* x 2)))) (* (pow (* x (* c s)) 2) 2)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s s) c)))
#s(approx (/ (/ (cos (* x 2)) x) (* (pow (* s c) 2) x)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) c) x) (.f64 (.f64 x s) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 c) x))) (.f64 (.f64 s c) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (*.f64 s c) s)) c) (/.f64 (/.f64 #s(literal -1 binary64) x) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (*.f64 s c) s)) x)) c))
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#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(approx (/ (cos (* 2 x)) (* x x)) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) x) x)) (.f64 s c)) (*.f64 s c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) (/.f64 c (/.f64 #s(literal -1 binary64) (.f64 (*.f64 s c) s))))))
#s(approx (/ (- (+ 1 (cos (* x 2))) (- 1 (cos (* x 2)))) (* (pow (* x (* c s)) 2) 2)) (/.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (.f64 s c))) (.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(approx (/ (cos (* 2 x)) (* x x)) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) x) x)) (.f64 s c)) c) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(approx (/ (cos (* 2 x)) (* x x)) (/.f64 (.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 x))) x)) (.f64 (.f64 s c) c)) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c)) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (/ (cos (* 2 x)) (* x x)) (* (* s c) c)) (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (.f64 s c)) (/.f64 (.f64 x x) c) (/.f64 #s(literal 1 binary64) (.f64 s (.f64 c c)))) (*.f64 x x))) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64)))
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#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 s c) #s(literal -2 binary64)) (.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) (*.f64 s s))))
(/.f64 #s(approx (- (+ 1 (cos (* x 2))) (- 1 (cos (* x 2)))) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 x (*.f64 c s)) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 (*.f64 s c) #s(literal -2 binary64)) x) x))
(.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) (neg.f64 #s(approx (cos ( x 2)) #s(literal 1 binary64))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 s #s(literal -1 binary64)) (.f64 (.f64 (.f64 x x) c) (.f64 s c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 s (.f64 (.f64 s c) (.f64 c x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) s) (.f64 (.f64 s c) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 s (pow.f64 (.f64 c x) #s(literal 2 binary64)))) (neg.f64 s)))
(/.f64 #s(approx (- (+ 1 (cos (* x 2))) (- 1 (cos (* x 2)))) (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 2 binary64))) (.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))))
(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 x (.f64 c c)) s) (*.f64 x s)))
(.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) (neg.f64 #s(approx (cos ( x 2)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (* (* x (* c c)) s) (* x s)) (.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))))
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(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s s) x) (.f64 (*.f64 c x) c))))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s x) c) (.f64 (*.f64 c x) s))))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 s c) x) (*.f64 s c)) x)))
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(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 c c)) s) (.f64 x s)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 s x) c) x) (.f64 s c)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 s x) c) (.f64 c x)) s))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 s x) c) (.f64 s c)) x))
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(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) x) (.f64 (.f64 (.f64 s c) s) (*.f64 c x)))
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(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) x) (.f64 (.f64 (.f64 c x) s) (*.f64 s c)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 (.f64 (.f64 s c) s) (.f64 c x)))) (neg.f64 (cos.f64 (*.f64 x #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 c x) (.f64 s (.f64 (.f64 c x) s)))) (neg.f64 (cos.f64 (*.f64 x #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) (.f64 x (.f64 (.f64 c x) s)))) (neg.f64 (cos.f64 (*.f64 x #s(literal 2 binary64)))))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (neg.f64 c) x) s)) (.f64 (*.f64 (neg.f64 c) x) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) c) (.f64 (.f64 (.f64 s x) x) c)) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) x) (.f64 c (.f64 (.f64 c x) s))) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) x) (.f64 (.f64 (sqrt.f64 (.f64 (.f64 c x) s)) (sqrt.f64 (.f64 s c))) (.f64 (sqrt.f64 (.f64 (.f64 c x) s)) (sqrt.f64 (.f64 s c)))))
(/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (.f64 x (*.f64 c s)) #s(literal 2 binary64)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) c) c))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) (.f64 s s)))
(.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) (neg.f64 (cos.f64 (.f64 x #s(literal 2 binary64)))))
(/.f64 (.f64 (/.f64 (pow.f64 (.f64 c s) #s(literal -2 binary64)) x) (cos.f64 (*.f64 x #s(literal 2 binary64)))) x)
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) x) (.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c)) c)
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (.f64 x s) #s(literal 2 binary64))) (*.f64 c c))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (.f64 x s) #s(literal 2 binary64))) c) c)
(/.f64 (/.f64 (pow.f64 (.f64 c s) #s(literal -2 binary64)) x) (/.f64 x (cos.f64 (.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 (.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) c) #s(literal -1 binary64)) (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) c))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))) (.f64 (pow.f64 (.f64 x (*.f64 c s)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 c #s(literal -1 binary64)) (pow.f64 (.f64 (.f64 (.f64 x (.f64 s s)) c) (/.f64 x (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (.f64 (pow.f64 (.f64 x (*.f64 c s)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)) (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) c) (.f64 (neg.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) (/.f64 (neg.f64 (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) c)))) (.f64 (neg.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) c))
(/.f64 (-.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) c) (.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) c)) (.f64 (.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) c) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) c))) (.f64 (.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) c) (.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c)))

Outputs

#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))))

(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (neg.f64 c) x) s)) (*.f64 (*.f64 (neg.f64 c) x) s))

Calls

6 calls:

62.0ms	c
49.0ms	(pow.f64 s #s(literal 2 binary64))
48.0ms	s
47.0ms	(pow.f64 c #s(literal 2 binary64))
44.0ms	x

Results

Accuracy	Segments	Branch
99.6%	2	`x`
97.9%	1	`c`
97.9%	1	`s`
97.9%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
97.9%	1	`(pow.f64 c #s(literal 2 binary64))`
97.9%	1	`(pow.f64 s #s(literal 2 binary64))`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes249.0ms (2.5%)

Memory

-8.9MiB live, 194.7MiB allocated

Counts

90 → 1

Calls

Call 1

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

Outputs
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s c) x) (.f64 (*.f64 s c) x))))

Calls

6 calls:

51.0ms	c
46.0ms	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
45.0ms	x
41.0ms	(pow.f64 s #s(literal 2 binary64))
39.0ms	(pow.f64 c #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
97.8%	1	`c`
97.8%	1	`s`
97.8%	1	`(pow.f64 c #s(literal 2 binary64))`
97.8%	1	`(pow.f64 s #s(literal 2 binary64))`
97.8%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
97.8%	1	`x`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes215.0ms (2.2%)

Memory

-1.4MiB live, 163.7MiB allocated

Counts

72 → 2

Calls

Call 1

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

Outputs

#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))))

(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))))

Calls

6 calls:

56.0ms	c
47.0ms	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
37.0ms	(pow.f64 s #s(literal 2 binary64))
37.0ms	s
19.0ms	x

Results

Accuracy	Segments	Branch
96.7%	1	`c`
96.7%	1	`(pow.f64 c #s(literal 2 binary64))`
96.7%	1	`s`
99.3%	2	`x`
96.7%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
96.7%	1	`(pow.f64 s #s(literal 2 binary64))`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes304.0ms (3.1%)

Memory

-16.5MiB live, 258.1MiB allocated

Counts

67 → 2

Calls

Call 1

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

Outputs

(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))))

#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))))

Calls

6 calls:

82.0ms	s
59.0ms	(pow.f64 c #s(literal 2 binary64))
47.0ms	c
45.0ms	x
20.0ms	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))

Results

Accuracy	Segments	Branch
83.1%	2	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
79.9%	1	`s`
79.9%	1	`(pow.f64 s #s(literal 2 binary64))`
79.9%	1	`c`
79.9%	1	`(pow.f64 c #s(literal 2 binary64))`
79.9%	1	`x`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes61.0ms (0.6%)

Memory

-11.9MiB live, 70.3MiB allocated

Counts

26 → 1

Calls

Call 1

Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 c (.f64 (.f64 s x) (.f64 (*.f64 s c) x))))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 c (.f64 (.f64 s x) (*.f64 c x))) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 s (.f64 (.f64 c x) c)) (*.f64 s x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 s c) x) (.f64 (*.f64 s c) x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 s (.f64 c c)) x) (*.f64 s x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 (.f64 c x) (*.f64 c x)) s) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 (.f64 s c) x) c) (*.f64 s x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 (.f64 s s) x) c) (*.f64 c x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) (.f64 (.f64 s s) (*.f64 c x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) (.f64 (.f64 (*.f64 s s) x) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) (.f64 (.f64 (*.f64 s x) s) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 s x) c) (.f64 (*.f64 s x) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 s c) s) (*.f64 c x)) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 s x) c) x) (*.f64 s c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 s x) c) (*.f64 c x)) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 s x) c) (*.f64 s c)) x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x (.f64 c c)) s) (*.f64 x s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 x x) c) (.f64 (*.f64 (neg.f64 s) c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 (.f64 (neg.f64 c) x) x) s) (*.f64 s c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) c)) (.f64 (.f64 s c) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (.f64 (.f64 (neg.f64 s) c) s) (.f64 c x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 c x) s)) (.f64 (.f64 (neg.f64 c) x) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) (.f64 (.f64 (neg.f64 c) x) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s s) c)) (.f64 (.f64 (neg.f64 c) x) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 s c) s) (neg.f64 x))) (.f64 c x)))

Outputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 s x) c) (.f64 (*.f64 s x) c))))

Calls

5 calls:

25.0ms	(pow.f64 c #s(literal 2 binary64))
7.0ms	s
7.0ms	x
7.0ms	(pow.f64 s #s(literal 2 binary64))
6.0ms	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))

Results

Accuracy	Segments	Branch
79.9%	1	`x`
79.9%	1	`s`
79.9%	1	`(pow.f64 c #s(literal 2 binary64))`
79.9%	1	`(pow.f64 s #s(literal 2 binary64))`
79.9%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`

Compiler

Compiled 24 to 28 computations (-16.7% saved)

regimes35.0ms (0.4%)

Memory

18.9MiB live, 58.6MiB allocated

Counts

12 → 1

Calls

Call 1

Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 c (.f64 (.f64 s x) (.f64 (*.f64 s c) x))))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 c (.f64 (.f64 s x) (*.f64 c x))) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 s (.f64 (.f64 c x) c)) (*.f64 s x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 s c) x) (.f64 (*.f64 s c) x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 s (.f64 c c)) x) (*.f64 s x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 (.f64 c x) (*.f64 c x)) s) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 (.f64 s c) x) c) (*.f64 s x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 (.f64 s s) x) c) (*.f64 c x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) (.f64 (.f64 s s) (*.f64 c x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) (.f64 (.f64 (*.f64 s s) x) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) (.f64 (.f64 (*.f64 s x) s) c))))

Outputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 s c) x) (.f64 (*.f64 s c) x)))))

Calls

6 calls:

15.0ms	x
4.0ms	c
4.0ms	s
4.0ms	(pow.f64 s #s(literal 2 binary64))
4.0ms	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))

Results

Accuracy	Segments	Branch
79.3%	1	`c`
79.3%	1	`x`
79.3%	1	`s`
79.3%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
79.3%	1	`(pow.f64 c #s(literal 2 binary64))`
79.3%	1	`(pow.f64 s #s(literal 2 binary64))`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes23.0ms (0.2%)

Memory

-15.0MiB live, 24.7MiB allocated

Accuracy

Total -6.0b remaining (-43.6%)

Threshold costs -6b (-43.6%)

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (*.f64 c (*.f64 (*.f64 s x) (*.f64 (*.f64 s c) x))))))

#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (*.f64 (*.f64 c (*.f64 (*.f64 s x) (*.f64 c x))) s))))

#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (*.f64 (*.f64 s (*.f64 (*.f64 c x) c)) (*.f64 s x)))))

Outputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 c (.f64 (.f64 s x) (.f64 (*.f64 s c) x))))))

Calls

6 calls:

14.0ms	s
2.0ms	x
2.0ms	c
2.0ms	(pow.f64 s #s(literal 2 binary64))
2.0ms	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))

Results

Accuracy	Segments	Branch
78.5%	1	`s`
78.5%	1	`(pow.f64 s #s(literal 2 binary64))`
78.5%	1	`c`
78.5%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
78.5%	1	`x`
78.5%	1	`(pow.f64 c #s(literal 2 binary64))`

Compiler

Compiled 25 to 31 computations (-24% saved)

bsearch17.0ms (0.2%)

Memory

28.5MiB live, 28.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
15.0ms	5.6923976146938066e-27	2.505495683733045e-24

Samples

10.0ms

128×

valid

Compiler

Compiled 275 to 194 computations (29.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 3.0ms (44.3% of total)

ival-pow2: 2.0ms (29.6% of total)

ival-div: 1.0ms (14.8% of total)

ival-cos: 1.0ms (14.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
0.0ms	5.6923976146938066e-27	2.505495683733045e-24

Compiler

Compiled 112 to 81 computations (27.7% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5.586699849385223e-67	-0.0

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify77.0ms (0.8%)

Memory

-30.1MiB live, 49.4MiB allocated

Algorithm

1×	egg-herbie

Rules

318×	`distribute-lft-neg-in-binary64-*.f64-neg.f64`
188×	`neg-mul-1-binary64-*.f64-neg.f64`
184×	`neg-sub0-binary64--.f64-neg.f64`
162×	`cancel-sign-sub-binary64-+.f64-neg.f64-*.f64--.f64`
152×	`unsub-neg-binary64--.f64-neg.f64-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	70	340
1	91	340
2	99	340
3	113	340
4	132	338
5	158	338
6	203	338
7	271	338
8	350	338
9	473	338
10	659	338
11	788	338
12	899	338
13	978	338
14	1038	338
15	1046	338
16	1047	338

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 1565298887836317/1361129467683753853853498429727072845824 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 s x) c) (.f64 (.f64 s x) c)))) (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (neg.f64 c) x) s)) (.f64 (.f64 (neg.f64 c) x) s)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s c) x) (.f64 (*.f64 s c) x))))
(if (<=.f64 x #s(literal 5444517870735015/5444517870735015415413993718908291383296 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 s x) c) (.f64 (.f64 s x) c)))) (/.f64 (cos.f64 (+.f64 x x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s)))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -3794275180128377/7588550360256754183279148073529370729071901715047420004889892225542594864082845696 binary64)) (/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (.f64 c x) s)))) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 s x) c) (.f64 (*.f64 s x) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 s x) c) (.f64 (*.f64 s x) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 s c) x) (.f64 (*.f64 s c) x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 c (.f64 (.f64 s x) (.f64 (*.f64 s c) x))))))

Outputs
(if (<=.f64 x #s(literal 1565298887836317/1361129467683753853853498429727072845824 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 s x) c) (.f64 (.f64 s x) c)))) (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (neg.f64 c) x) s)) (.f64 (.f64 (neg.f64 c) x) s)))
(if (<=.f64 x #s(literal 1565298887836317/1361129467683753853853498429727072845824 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 s x) c) (.f64 (.f64 s x) c)))) (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c x) s)) (.f64 (.f64 c x) s)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s c) x) (.f64 (*.f64 s c) x))))
(if (<=.f64 x #s(literal 5444517870735015/5444517870735015415413993718908291383296 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 s x) c) (.f64 (.f64 s x) c)))) (/.f64 (cos.f64 (+.f64 x x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s)))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -3794275180128377/7588550360256754183279148073529370729071901715047420004889892225542594864082845696 binary64)) (/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (.f64 c x) s)))) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 s x) c) (.f64 (*.f64 s x) c)))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (pow.f64 s #s(literal 2 binary64)) x) x) (pow.f64 c #s(literal 2 binary64)))) #s(literal -3794275180128377/7588550360256754183279148073529370729071901715047420004889892225542594864082845696 binary64)) (/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (.f64 c x) s)))) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 s x) c) (.f64 (*.f64 s x) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 s x) c) (.f64 (*.f64 s x) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 s c) x) (.f64 (*.f64 s c) x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 c (.f64 (.f64 s x) (.f64 (*.f64 s c) x))))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* c x) (* (* (* s s) x) c)) (.f64 (.f64 (.f64 (.f64 s c) x) (*.f64 s x)) c))))

soundness1.2s (12%)

Memory

-1.6MiB live, 916.3MiB allocated

Rules

23 650×	`lower-fma.f64`
23 650×	`lower-fma.f32`
19 320×	`lower-fma.f64`
19 320×	`lower-fma.f32`
15 180×	`lower-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	103	7744
1	248	7744
2	674	7674
3	2359	7624
4	5514	7624
0	8243	7564
0	49	278
0	82	273
1	280	230
2	1526	224
0	8365	224
0	63	437
0	100	409
1	350	365
0	2094	365
0	50	1512
1	117	1512
2	383	1498
3	1949	1488
4	4763	1480
5	6909	1480
0	8006	1468
0	51	286
0	84	295
1	296	245
2	1783	215
0	8609	215
0	142	8998
1	342	8998
2	966	8904
3	3281	8826
4	6163	8826
0	8080	8739
0	12	52
0	20	52
1	55	52
2	217	48
3	1946	42
0	8396	42

Stop Event

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

Compiler

Compiled 580 to 346 computations (40.3% saved)

preprocess86.0ms (0.9%)

Memory: 36.8MiB live, 234.3MiB allocated
Compiler: Compiled 942 to 436 computations (53.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze159.0ms (1.6%)

sample1.7s (17.2%)

explain214.0ms (2.2%)

preprocess50.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify14.0ms (0.1%)

localize45.0ms (0.5%)

series29.0ms (0.3%)

simplify214.0ms (2.2%)

rewrite207.0ms (2.1%)

eval143.0ms (1.4%)

prune77.0ms (0.8%)

simplify110.0ms (1.1%)

localize164.0ms (1.7%)

series182.0ms (1.8%)

simplify325.0ms (3.3%)

rewrite185.0ms (1.9%)

eval481.0ms (4.9%)

prune153.0ms (1.5%)

simplify113.0ms (1.1%)

localize253.0ms (2.6%)

series112.0ms (1.1%)

simplify250.0ms (2.5%)

rewrite214.0ms (2.2%)

eval307.0ms (3.1%)

prune167.0ms (1.7%)

simplify187.0ms (1.9%)

localize215.0ms (2.2%)

series176.0ms (1.8%)

simplify265.0ms (2.7%)

rewrite110.0ms (1.1%)

eval212.0ms (2.1%)

prune319.0ms (3.2%)

regimes280.0ms (2.8%)

regimes249.0ms (2.5%)

regimes215.0ms (2.2%)

regimes304.0ms (3.1%)

regimes61.0ms (0.6%)

regimes35.0ms (0.4%)

regimes23.0ms (0.2%)

bsearch17.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify77.0ms (0.8%)

soundness1.2s (12%)

preprocess86.0ms (0.9%)

end0.0ms (0%)

Profiling