Metrics for mixedcos

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze172.0ms (1.8%)

Memory

6.7MiB live, 162.5MiB 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)

sample1.8s (18.5%)

Memory

42.5MiB live, 1 612.3MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 952.0ms

ival-pow2: 386.0ms (40.5% of total)

ival-cos: 270.0ms (28.4% of total)

ival-mult: 239.0ms (25.1% of total)

ival-div: 45.0ms (4.7% of total)

ival-true: 6.0ms (0.6% of total)

exact: 5.0ms (0.5% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain239.0ms (2.4%)

Memory

-16.1MiB live, 270.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
54	0	-	0	-	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`
38	0	-	1	(4.204389908244977e+153 -7.970193995485621e+140 -2.6804080848835772e-157)	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`
18	0	-	2	(-2.7150829128838794e+66 -6.141619774544213e-161 -6.259456369806798e-193)	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`
2	1	(2.7407072142186696e+284 -8.310828703159155e-196 -4.631780652930846e+71)	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	136	(1.8064953495328118e+181 -2.468787992452444e+175 -1.4476427791001468e+127)	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	136	1
`*.f64`	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	*nu**	21	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*uo**	18	0
↳	`(pow.f64 c #s(literal 2 binary64))`	underflow	68
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	overflow	73
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	overflow	63
↳	`(pow.f64 s #s(literal 2 binary64))`	overflow	54
`*.f64`	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	*no**	16	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*no**	16	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*ou**	12	0
↳	`(pow.f64 c #s(literal 2 binary64))`	overflow	52
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	underflow	64
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	underflow	63
↳	`(pow.f64 s #s(literal 2 binary64))`	underflow	69
`*.f64`	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	*nu**	10	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*nu**	8	0
`*.f64`	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	*no**	6	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	3	0
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	overflow	73
↳	`(pow.f64 c #s(literal 2 binary64))`	overflow	52
↳	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	overflow	75
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	overflow	63
↳	`(pow.f64 s #s(literal 2 binary64))`	overflow	54

Confusion

	Predicted +	Predicted -
+	89	0
-	91	76

Precision

0.49444444444444446

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	89	0	0
-	91	1	75

Precision?

0.49171270718232046

Recall?

1.0

Freqs

test

number	freq
0	76
1	118
2	58
3	4

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

108.0ms

512×

valid

Compiler

Compiled 132 to 40 computations (69.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-div: 34.0ms (47% of total)

ival-pow2: 14.0ms (19.4% of total)

ival-cos: 11.0ms (15.2% of total)

ival-mult: 11.0ms (15.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess51.0ms (0.5%)

Memory

16.1MiB live, 51.5MiB 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

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.9%	(/.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)

simplify24.0ms (0.2%)

Memory

-29.0MiB live, 19.8MiB 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

localize52.0ms (0.5%)

Memory

22.8MiB live, 58.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.40494770891541587	(/.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	3.406850051982489	(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)
accuracy	6.870936977960952	(*.f64 x (pow.f64 s #s(literal 2 binary64)))
accuracy	13.733318056620751	(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))

Samples

44.0ms

256×

valid

Compiler

Compiled 58 to 14 computations (75.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-cos: 6.0ms (33.7% of total)

ival-mult: 6.0ms (33.7% of total)

ival-pow2: 4.0ms (22.5% of total)

ival-div: 2.0ms (11.2% of total)

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

exact: 0.0ms (0% of total)

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

series44.0ms (0.4%)

Memory

-1.6MiB live, 69.7MiB 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>) () ())) ())
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Calls

9 calls:

Time	Variable		Point	Expression
18.0ms	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))))
4.0ms	c	@	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))))
4.0ms	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	@	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))))

simplify201.0ms (2.1%)

Memory

3.8MiB live, 256.4MiB 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)

rewrite164.0ms (1.7%)

Memory

13.6MiB live, 384.5MiB 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
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eval327.0ms (3.3%)

Memory: -51.2MiB live, 380.5MiB allocated
Compiler: Compiled 23 459 to 2 481 computations (89.4% saved)

prune55.0ms (0.6%)

Memory

40.4MiB live, 79.0MiB allocated

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	832	21	853
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	833	21	854

Accuracy

100.0%

Counts

854 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	81.0%	(pow.f64 (pow.f64 (/.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	76.9%	(/.f64 (/.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 c #s(literal -2 binary64)) x)) (*.f64 x s)) s)
	77.4%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (.f64 x s) #s(literal 2 binary64))) (*.f64 c c))
	85.0%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c)) c)
▶	77.3%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (neg.f64 c) c)) (neg.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64))))
	85.0%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) c) (.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c))
	35.0%	(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x)) (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x)) (.f64 x (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x))) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)))
	84.9%	(/.f64 (.f64 (/.f64 (pow.f64 (.f64 c s) #s(literal -2 binary64)) x) (cos.f64 (*.f64 x #s(literal 2 binary64)))) x)
	96.6%	(/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (.f64 x (*.f64 c s)) #s(literal 2 binary64)))
▶	77.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) (.f64 c c)))
	79.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) (.f64 s s)))
	85.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x))
▶	77.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 c c)) (.f64 x s)) s))
	78.4%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 c c)) s) (.f64 x s)))
	68.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x (.f64 s s)) (.f64 x (.f64 c c))))
	78.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 (.f64 x (.f64 s s)) 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 c x) s) (.f64 (*.f64 c x) s))))
	85.5%	(.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) x) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)))
▶	60.9%	#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)))
	74.5%	#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))
	45.0%	#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)))

Compiler

Compiled 698 to 516 computations (26.1% saved)

simplify134.0ms (1.4%)

Memory

-24.7MiB live, 98.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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))) (.f64 (neg.f64 c) c))
cost-diff	256	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (neg.f64 c) c)) (neg.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64))))
cost-diff	0	(pow.f64 (*.f64 x s) #s(literal 2 binary64))
cost-diff	0	(.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) (*.f64 c c))
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(cos.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff	0	(.f64 x (.f64 c c))
cost-diff	0	(.f64 (.f64 x (.f64 c c)) (.f64 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 #s(literal 1 binary64) 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	384	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
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))))

Rules

3 158×	`lower-*.f32`
3 130×	`lower-*.f64`
3 114×	`lower-fma.f64`
3 114×	`lower-fma.f32`
2 470×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	310
0	71	314
1	140	292
2	317	288
3	860	288
4	2435	288
5	5447	288
6	6673	288
7	7202	288
8	7411	288
9	7604	288
10	7816	288
0	8080	288

Stop Event

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

Calls

Call 1

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

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

localize118.0ms (1.2%)

Memory

-0.5MiB live, 155.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(cos.f64 (*.f64 x #s(literal 2 binary64)))
accuracy	0.20703125	(pow.f64 (*.f64 x s) #s(literal 2 binary64))
accuracy	0.37220252629510725	(/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (neg.f64 c) c))
accuracy	14.31299197960469	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (neg.f64 c) c)) (neg.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64))))
accuracy	0.00390625	(cos.f64 (*.f64 #s(literal 2 binary64) x))
accuracy	0.20703125	(pow.f64 (*.f64 x s) #s(literal 2 binary64))
accuracy	0.40494770891541587	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) (.f64 c c)))
accuracy	13.733318056620751	(.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) (*.f64 c c))
accuracy	0.40494770891541587	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 c c)) (.f64 x s)) s))
accuracy	3.314845294178634	(.f64 (.f64 (.f64 x (.f64 c c)) (*.f64 x s)) s)
accuracy	7.659057492746261	(.f64 (.f64 x (.f64 c c)) (.f64 x s))
accuracy	7.871654096986762	(.f64 x (.f64 c c))
accuracy	0.1328125	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
accuracy	7.954221040911446	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c)
accuracy	10.279120436513187	(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s))
accuracy	15.214568783256098	#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	0.00390625	(cos.f64 (*.f64 #s(literal 2 binary64) x))
accuracy	0.22789003907376806	(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
accuracy	0.40494770891541587	(/.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	3.28871925494338	(.f64 (.f64 c x) s)

Samples

89.0ms

256×

valid

Compiler

Compiled 274 to 40 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 25.0ms (43.3% of total)

ival-div: 12.0ms (20.8% of total)

ival-cos: 10.0ms (17.3% of total)

ival-pow2: 7.0ms (12.1% of total)

ival-neg: 2.0ms (3.5% of total)

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

exact: 0.0ms (0% of total)

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

series60.0ms (0.6%)

Memory

17.4MiB live, 91.8MiB allocated

Counts

22 → 600

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	x	@	-inf	((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (/ 1 x) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ 1 x) x) c) (/ 1 x) (* (* x (* c c)) (* x s)) (* x (* c c)) (* (pow (* x s) 2) (* c c)) (pow (* x s) 2) (/ (/ (cos (* x 2)) (* (neg c) c)) (neg (pow (* x s) 2))) (/ (cos (* x 2)) (* (neg c) c)) (cos (* x 2)) (* x 2) (* (* c x) s) (* (* (* c x) s) (* (* c x) s)) (/ (/ (/ (/ 1 x) x) c) (* (* s c) s)) (* (* (* x (* c c)) (* x s)) s) (/ (cos (* 2 x)) (* (* (* x (* c c)) (* x s)) s)) (/ (cos (* 2 x)) (* (pow (* x s) 2) (* c c))))
4.0ms	x	@	inf	((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (/ 1 x) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ 1 x) x) c) (/ 1 x) (* (* x (* c c)) (* x s)) (* x (* c c)) (* (pow (* x s) 2) (* c c)) (pow (* x s) 2) (/ (/ (cos (* x 2)) (* (neg c) c)) (neg (pow (* x s) 2))) (/ (cos (* x 2)) (* (neg c) c)) (cos (* x 2)) (* x 2) (* (* c x) s) (* (* (* c x) s) (* (* c x) s)) (/ (/ (/ (/ 1 x) x) c) (* (* s c) s)) (* (* (* x (* c c)) (* x s)) s) (/ (cos (* 2 x)) (* (* (* x (* c c)) (* x s)) s)) (/ (cos (* 2 x)) (* (pow (* x s) 2) (* c c))))
4.0ms	x	@	0	((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (/ 1 x) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ 1 x) x) c) (/ 1 x) (* (* x (* c c)) (* x s)) (* x (* c c)) (* (pow (* x s) 2) (* c c)) (pow (* x s) 2) (/ (/ (cos (* x 2)) (* (neg c) c)) (neg (pow (* x s) 2))) (/ (cos (* x 2)) (* (neg c) c)) (cos (* x 2)) (* x 2) (* (* c x) s) (* (* (* c x) s) (* (* c x) s)) (/ (/ (/ (/ 1 x) x) c) (* (* s c) s)) (* (* (* x (* c c)) (* x s)) s) (/ (cos (* 2 x)) (* (* (* x (* c c)) (* x s)) s)) (/ (cos (* 2 x)) (* (pow (* x s) 2) (* c c))))
4.0ms	c	@	0	((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (/ 1 x) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ 1 x) x) c) (/ 1 x) (* (* x (* c c)) (* x s)) (* x (* c c)) (* (pow (* x s) 2) (* c c)) (pow (* x s) 2) (/ (/ (cos (* x 2)) (* (neg c) c)) (neg (pow (* x s) 2))) (/ (cos (* x 2)) (* (neg c) c)) (cos (* x 2)) (* x 2) (* (* c x) s) (* (* (* c x) s) (* (* c x) s)) (/ (/ (/ (/ 1 x) x) c) (* (* s c) s)) (* (* (* x (* c c)) (* x s)) s) (/ (cos (* 2 x)) (* (* (* x (* c c)) (* x s)) s)) (/ (cos (* 2 x)) (* (pow (* x s) 2) (* c c))))
4.0ms	c	@	inf	((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (/ 1 x) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ 1 x) x) c) (/ 1 x) (* (* x (* c c)) (* x s)) (* x (* c c)) (* (pow (* x s) 2) (* c c)) (pow (* x s) 2) (/ (/ (cos (* x 2)) (* (neg c) c)) (neg (pow (* x s) 2))) (/ (cos (* x 2)) (* (neg c) c)) (cos (* x 2)) (* x 2) (* (* c x) s) (* (* (* c x) s) (* (* c x) s)) (/ (/ (/ (/ 1 x) x) c) (* (* s c) s)) (* (* (* x (* c c)) (* x s)) s) (/ (cos (* 2 x)) (* (* (* x (* c c)) (* x s)) s)) (/ (cos (* 2 x)) (* (pow (* x s) 2) (* c c))))

simplify283.0ms (2.9%)

Memory

-17.9MiB live, 258.5MiB allocated

Algorithm

1×	egg-herbie

Rules

21 408×	`lower-fma.f64`
21 408×	`lower-fma.f32`
5 282×	`lower-*.f64`
5 282×	`lower-*.f32`
3 630×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	6824
1	196	6824
2	599	6746
3	2358	6694
4	4758	6654
0	8676	6606

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 600

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
(+ 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)))
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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)) (pow c 2)))
(* -1 (/ (cos (* 2 x)) (pow c 2)))
(* -1 (/ (cos (* 2 x)) (pow c 2)))
(* -1 (/ (cos (* 2 x)) (pow c 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)))
(/ 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))))
(/ (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)))
(/ (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)))
(* (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)))
(* (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))))
(* -1 (/ (cos (* 2 x)) (pow c 2)))
(* -1 (/ (cos (* 2 x)) (pow c 2)))
(* -1 (/ (cos (* 2 x)) (pow c 2)))
(* -1 (/ (cos (* 2 x)) (pow c 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)))
(/ 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))))
(/ (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)))
(/ (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)))
(* (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)))
(* (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))))
(* -1 (/ (cos (* 2 x)) (pow c 2)))
(* -1 (/ (cos (* 2 x)) (pow c 2)))
(* -1 (/ (cos (* 2 x)) (pow c 2)))
(* -1 (/ (cos (* 2 x)) (pow c 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)))
(/ 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))))

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

rewrite146.0ms (1.5%)

Memory

38.8MiB live, 225.5MiB allocated

Rules

5 212×	`lower-*.f32`
5 184×	`lower-*.f64`
3 776×	`lower-/.f32`
3 760×	`lower-/.f64`
1 406×	`frac-times`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	233
0	71	223
1	231	183
2	1175	175
0	8623	175

Stop Event

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

Counts

22 → 1 732

Calls

Call 1

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

Outputs
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eval753.0ms (7.7%)

Memory: -116.3MiB live, 819.7MiB allocated
Compiler: Compiled 50 801 to 3 851 computations (92.4% saved)

prune98.0ms (1%)

Memory

30.7MiB live, 347.8MiB allocated

Pruning

43 alts after pruning (42 fresh and 1 done)

	Pruned	Kept	Total
New	2 614	40	2 654
Fresh	14	2	16
Picked	4	1	5
Done	0	0	0
Total	2 632	43	2 675

Accuracy

100.0%

Counts

2 675 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.5%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 s x)) (.f64 (.f64 (*.f64 c c) x) s))
	85.0%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) c) (.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c))
	97.8%	(/.f64 (+.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))))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))))
	77.7%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 x (.f64 c c)) (*.f64 x s)) s))
	97.8%	(/.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))))
	86.6%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (/.f64 (.f64 (.f64 s c) s) (pow.f64 (*.f64 c x) #s(literal -1 binary64))) x))
	76.4%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 x x) s) c) (.f64 s c)))
	86.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c x) x) (.f64 s c)) s))
	78.4%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c c) x) s) (.f64 s x)))
	83.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s c) s) (.f64 (.f64 c x) x)))
▶	78.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 (.f64 x (.f64 s s)) c)))
	69.3%	(/.f64 #s(approx (/ (cos (* x 2)) (* (neg c) c)) (/.f64 #s(literal -1 binary64) (.f64 c c))) (neg.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64))))
	51.7%	(/.f64 #s(approx (cos (* 2 x)) (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))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))))
	53.4%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #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))))
	52.4%	(/.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)) (.f64 x s)) s))
	56.8%	(/.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))))
	69.2%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) (*.f64 c c)))
	66.4%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x (.f64 c c)) (*.f64 x s)) s))
▶	74.6%	(/.f64 #s(approx (cos (* 2 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))))
	84.8%	(/.f64 #s(literal 1 binary64) (/.f64 c (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64)) c))))
▶	98.3%	(.f64 (pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64)) (cos.f64 (.f64 x #s(literal 2 binary64))))
	98.2%	(.f64 (+.f64 (cos.f64 x) (sin.f64 x)) (.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64))))
	68.3%	#s(approx (/ (/ (cos (* x 2)) (* (neg c) c)) (neg (pow (* x s) 2))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 s (.f64 c c)) x)) (.f64 x s)))
	74.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64)))
▶	69.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 s x) #s(literal -2 binary64)) (.f64 c c)))
✓	60.9%	#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)))
	66.1%	#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))))
	60.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) c) (.f64 (*.f64 s c) s)))
	63.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (/.f64 (/.f64 #s(literal -1 binary64) c) x))) (.f64 (.f64 s c) s)))
	63.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) x)) (.f64 (.f64 s c) s)))
	74.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c)) (neg.f64 c)))
	68.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) s)) (neg.f64 s)))
▶	60.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) c)) (.f64 (.f64 s c) s)))
	63.7%	#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 x) c) x)))
	62.8%	#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) s) c) (.f64 c x))))
	66.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (.f64 (neg.f64 x) c) (.f64 (.f64 s c) s))))
	69.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64))) x)))
	58.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) c) (.f64 (.f64 (.f64 (neg.f64 s) s) c) (.f64 x x))))
	74.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) c) (.f64 (neg.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64))) c)))
	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 (.f64 s c) s))) (.f64 c x)))
	62.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64))) (*.f64 (neg.f64 x) x))))
	63.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 (neg.f64 x) c) x) (.f64 (*.f64 s c) s))))
	60.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 c x) x) (.f64 (*.f64 (neg.f64 s) s) c))))

Compiler

Compiled 1 340 to 1 029 computations (23.2% saved)

simplify124.0ms (1.3%)

Memory

3.8MiB live, 113.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

3 294×	`lower-*.f32`
3 260×	`lower-*.f64`
3 228×	`lower-fma.f64`
3 228×	`lower-fma.f32`
3 032×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	304
0	74	304
1	138	304
2	292	301
3	784	301
4	1986	301
5	2746	301
6	4102	301
7	5318	301
8	6939	301
0	8011	301

Stop Event

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

Calls

Call 1

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

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

localize137.0ms (1.4%)

Memory

-9.4MiB live, 241.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.40494770891541587	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 (.f64 x (.f64 s s)) c)))
accuracy	2.8345375289542734	(.f64 (.f64 x c) (.f64 (.f64 x (*.f64 s s)) c))
accuracy	6.870936977960952	(.f64 x (.f64 s s))
accuracy	7.115167504102971	(.f64 (.f64 x (*.f64 s s)) c)
accuracy	0	(*.f64 c c)
accuracy	0.20445253907376806	(pow.f64 (*.f64 s x) #s(literal -2 binary64))
accuracy	14.213458077783045	(/.f64 (pow.f64 (.f64 s x) #s(literal -2 binary64)) (.f64 c c))
accuracy	15.214568783256098	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 s x) #s(literal -2 binary64)) (.f64 c c)))
accuracy	0.489315794492246	(/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) c))
accuracy	7.8136674382052185	(.f64 (.f64 (neg.f64 x) x) c)
accuracy	10.279120436513187	(/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) c)) (.f64 (.f64 s c) s))
accuracy	15.214568783256098	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) c)) (.f64 (.f64 s c) s)))
accuracy	0.22789003907376806	(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
accuracy	0.40494770891541587	(/.f64 #s(approx (cos (* 2 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))))
accuracy	3.28871925494338	(.f64 (.f64 c x) s)
accuracy	31.446438630479584	#s(approx (cos (* 2 x)) #s(literal 1 binary64))
accuracy	0.00390625	(cos.f64 (*.f64 x #s(literal 2 binary64)))
accuracy	0.06640625	(.f64 (pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64)) (cos.f64 (.f64 x #s(literal 2 binary64))))
accuracy	0.22951127930532603	(pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64))
accuracy	3.28871925494338	(.f64 (.f64 c x) s)

Samples

106.0ms

256×

valid

Compiler

Compiled 253 to 41 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-mult: 42.0ms (58.4% of total)

ival-cos: 10.0ms (13.9% of total)

ival-div: 7.0ms (9.7% of total)

ival-pow: 6.0ms (8.3% of total)

ival-pow2: 4.0ms (5.6% of total)

exact: 1.0ms (1.4% of total)

ival-neg: 1.0ms (1.4% of total)

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

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

series56.0ms (0.6%)

Memory

6.8MiB live, 125.5MiB allocated

Counts

26 → 708

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	((* (pow (* (* c x) s) -2) (cos (* x 2))) (pow (* (* c x) s) -2) (* (* c x) s) (* c x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* c x) s) (* (* c x) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ -1 (* (* (neg x) x) c)) (* (* s c) s)) (* (* (neg x) x) c) (* (neg x) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow (* s x) -2) (* s x) (* c c) (cos (* 2 x)) (* 2 x) (* (* x c) (* (* x (* s s)) c)) (* x c) (cos (* x 2)) (/ -1 (* (* (neg x) x) c)) (/ (pow (* s x) -2) (* c c)) (* (* x (* s s)) c) (* x (* s s)) (/ (cos (* 2 x)) (* (* x c) (* (* x (* s s)) c))))
4.0ms	x	@	-inf	((* (pow (* (* c x) s) -2) (cos (* x 2))) (pow (* (* c x) s) -2) (* (* c x) s) (* c x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* c x) s) (* (* c x) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ -1 (* (* (neg x) x) c)) (* (* s c) s)) (* (* (neg x) x) c) (* (neg x) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow (* s x) -2) (* s x) (* c c) (cos (* 2 x)) (* 2 x) (* (* x c) (* (* x (* s s)) c)) (* x c) (cos (* x 2)) (/ -1 (* (* (neg x) x) c)) (/ (pow (* s x) -2) (* c c)) (* (* x (* s s)) c) (* x (* s s)) (/ (cos (* 2 x)) (* (* x c) (* (* x (* s s)) c))))
4.0ms	x	@	inf	((* (pow (* (* c x) s) -2) (cos (* x 2))) (pow (* (* c x) s) -2) (* (* c x) s) (* c x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* c x) s) (* (* c x) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ -1 (* (* (neg x) x) c)) (* (* s c) s)) (* (* (neg x) x) c) (* (neg x) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow (* s x) -2) (* s x) (* c c) (cos (* 2 x)) (* 2 x) (* (* x c) (* (* x (* s s)) c)) (* x c) (cos (* x 2)) (/ -1 (* (* (neg x) x) c)) (/ (pow (* s x) -2) (* c c)) (* (* x (* s s)) c) (* x (* s s)) (/ (cos (* 2 x)) (* (* x c) (* (* x (* s s)) c))))
4.0ms	s	@	-inf	((* (pow (* (* c x) s) -2) (cos (* x 2))) (pow (* (* c x) s) -2) (* (* c x) s) (* c x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* c x) s) (* (* c x) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ -1 (* (* (neg x) x) c)) (* (* s c) s)) (* (* (neg x) x) c) (* (neg x) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow (* s x) -2) (* s x) (* c c) (cos (* 2 x)) (* 2 x) (* (* x c) (* (* x (* s s)) c)) (* x c) (cos (* x 2)) (/ -1 (* (* (neg x) x) c)) (/ (pow (* s x) -2) (* c c)) (* (* x (* s s)) c) (* x (* s s)) (/ (cos (* 2 x)) (* (* x c) (* (* x (* s s)) c))))
4.0ms	c	@	-inf	((* (pow (* (* c x) s) -2) (cos (* x 2))) (pow (* (* c x) s) -2) (* (* c x) s) (* c x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* c x) s) (* (* c x) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ -1 (* (* (neg x) x) c)) (* (* s c) s)) (* (* (neg x) x) c) (* (neg x) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow (* s x) -2) (* s x) (* c c) (cos (* 2 x)) (* 2 x) (* (* x c) (* (* x (* s s)) c)) (* x c) (cos (* x 2)) (/ -1 (* (* (neg x) x) c)) (/ (pow (* s x) -2) (* c c)) (* (* x (* s s)) c) (* x (* s s)) (/ (cos (* 2 x)) (* (* x c) (* (* x (* s s)) c))))

simplify387.0ms (4%)

Memory

12.1MiB live, 204.0MiB allocated

Algorithm

1×	egg-herbie

Rules

15 664×	`lower-fma.f64`
15 664×	`lower-fma.f32`
5 410×	`lower-*.f64`
5 410×	`lower-*.f32`
2 442×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	7464
1	146	7464
2	441	7394
3	1838	7344
4	4563	7304
5	6739	7304
0	8034	7256

Stop Event

1×	iter limit
1×	node limit

Counts

708 → 708

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

rewrite216.0ms (2.2%)

Memory

-13.2MiB live, 218.4MiB allocated

Rules

5 076×	`lower-*.f32`
5 042×	`lower-*.f64`
4 036×	`lower-/.f32`
4 026×	`lower-/.f64`
1 406×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	259
0	74	235
1	212	219
2	923	202
3	7772	202
0	8723	202

Stop Event

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

Counts

26 → 2 188

Calls

Call 1

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

Outputs
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eval469.0ms (4.8%)

Memory: 41.7MiB live, 973.7MiB allocated
Compiler: Compiled 52 232 to 4 039 computations (92.3% saved)

prune243.0ms (2.5%)

Memory

-60.0MiB live, 417.9MiB allocated

Pruning

50 alts after pruning (47 fresh and 3 done)

	Pruned	Kept	Total
New	3 040	28	3 068
Fresh	18	19	37
Picked	3	2	5
Done	0	1	1
Total	3 061	50	3 111

Accuracy

100.0%

Counts

3 111 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.8%	(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x c)) s) (.f64 s (.f64 x c)))
	78.5%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 s x)) (.f64 (.f64 (*.f64 c c) x) s))
	90.5%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (neg.f64 c) x)) (.f64 (.f64 (neg.f64 s) c) (*.f64 s x)))
	78.3%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x c)) (.f64 (.f64 (*.f64 s s) x) c))
▶	98.3%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 s (.f64 x c))) (.f64 s (*.f64 x c)))
	77.7%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 x (.f64 c c)) (*.f64 x s)) s))
▶	78.3%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x c) (.f64 (.f64 x (*.f64 s s)) c)))
	97.8%	(/.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))))
	76.4%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 x x) s) c) (.f64 s c)))
	86.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c x) x) (.f64 s c)) s))
	78.4%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c c) x) s) (.f64 s x)))
	72.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x x) s) (.f64 (.f64 s c) c)))
	83.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x c) x) (.f64 (.f64 s c) s)))
	51.7%	(/.f64 #s(approx (cos (* 2 x)) (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))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))))
	53.4%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #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))))
	52.4%	(/.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)) (.f64 x s)) s))
	56.8%	(/.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))))
	69.2%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) (*.f64 c c)))
	63.0%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 x c) (.f64 (.f64 x (*.f64 s s)) c)))
	69.0%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)))
	66.1%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 (*.f64 x c) x) c) s) s)))
	63.9%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 (neg.f64 x) x) c) s) (*.f64 (neg.f64 s) c))))
	62.9%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 (neg.f64 s) s) c) (*.f64 (neg.f64 c) x)) x)))
	74.6%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 x c) (sqrt.f64 s)) (sqrt.f64 s)) (.f64 (.f64 c x) s))))
	67.3%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 x c) x) s) (*.f64 s c))))
	67.1%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c c) x) s) (*.f64 s x))))
	72.5%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (neg.f64 s) c) (.f64 s x)) (*.f64 (neg.f64 c) x))))
	64.1%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x x) s) (.f64 (*.f64 s c) c))))
	74.2%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s x) c) (.f64 (*.f64 c x) s))))
▶	73.4%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s c) x) (.f64 (*.f64 c x) s))))
✓	74.6%	(/.f64 #s(approx (cos (* 2 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))))
	56.9%	(.f64 (pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64)) #s(approx (cos ( x 2)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))))
	93.8%	(.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) s) (/.f64 (pow.f64 (.f64 x c) #s(literal -1 binary64)) (.f64 s (*.f64 x c))))
	96.3%	(.f64 #s(approx (pow ( (* c x) s) -2) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x s) c)) (.f64 (.f64 x s) c))) (cos.f64 (*.f64 x #s(literal 2 binary64))))
	68.3%	#s(approx (/ (/ (cos (* x 2)) (* (neg c) c)) (neg (pow (* x s) 2))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 s (.f64 c c)) x)) (.f64 x s)))
	74.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64)))
	61.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 x c) #s(literal -2 binary64)) (.f64 s s)))
	67.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 s x) #s(literal -1 binary64)) (.f64 (.f64 (.f64 c c) x) s)))
✓	60.9%	#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)))
	59.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) s)) s) (*.f64 c c)))
▶	60.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) c) (.f64 (*.f64 s c) s)))
	63.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (/.f64 (/.f64 #s(literal -1 binary64) c) x))) (.f64 (.f64 s c) s)))
	75.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x s) c)) (.f64 (.f64 x s) c)))
▶	63.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x c) x)) (.f64 (.f64 s c) s)))
✓	60.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) c)) (.f64 (.f64 s c) s)))
	63.7%	#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 x) c) x)))
	72.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 x c)) (.f64 (.f64 (neg.f64 s) c) (.f64 s x))))
	66.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (.f64 (neg.f64 x) c) (.f64 (.f64 s c) s))))
	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 (.f64 s c) s))) (.f64 c x)))
	60.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 c x) x) (.f64 (*.f64 (neg.f64 s) s) c))))

Compiler

Compiled 1 550 to 1 163 computations (25% saved)

simplify250.0ms (2.6%)

Memory

32.6MiB live, 304.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 x (*.f64 s s)) c)
cost-diff	0	(*.f64 x c)
cost-diff	0	(.f64 (.f64 x c) (.f64 (.f64 x (*.f64 s s)) c))
cost-diff	0	(cos.f64 (+.f64 x x))
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 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) c) (.f64 (*.f64 s c) s)))
cost-diff	320	(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))
cost-diff	768	(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) c)
cost-diff	0	(*.f64 x c)
cost-diff	0	(.f64 (.f64 x c) x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x c) x))
cost-diff	0	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x c) x)) (.f64 (.f64 s c) s)))
cost-diff	0	(.f64 (.f64 (.f64 s c) x) (.f64 (*.f64 c x) s))
cost-diff	0	#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s c) x) (.f64 (*.f64 c x) s)))
cost-diff	0	#s(approx (cos (* 2 x)) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s c) x) (.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)) (.f64 s (*.f64 x c)))
cost-diff	0	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 s (.f64 x c))) (.f64 s (*.f64 x c)))

Rules

33 808×	`lower-fma.f64`
33 808×	`lower-fma.f32`
3 958×	`lower-*.f32`
3 928×	`lower-*.f64`
3 458×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	45	338
0	73	332
1	150	330
2	377	330
3	819	330
4	1350	330
5	2455	330
6	4187	330
7	4771	330
8	6218	330
0	8040	330

Stop Event

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

Calls

Call 1

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

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

localize120.0ms (1.2%)

Memory

-17.3MiB live, 271.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.40494770891541587	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x c) (.f64 (.f64 x (*.f64 s s)) c)))
accuracy	2.8345375289542734	(.f64 (.f64 x c) (.f64 (.f64 x (*.f64 s s)) c))
accuracy	6.870936977960952	(.f64 x (.f64 s s))
accuracy	7.115167504102971	(.f64 (.f64 x (*.f64 s s)) c)
accuracy	0.27181625976844204	(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))
accuracy	7.954221040911446	(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) c)
accuracy	10.279120436513187	(/.f64 (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) c) (.f64 (*.f64 s c) s))
accuracy	15.214568783256098	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) c) (.f64 (*.f64 s c) s)))
accuracy	0.11328125	(.f64 (.f64 s c) s)
accuracy	0.489315794492246	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x c) x))
accuracy	10.279120436513187	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x c) x)) (.f64 (.f64 s c) s))
accuracy	15.214568783256098	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x c) x)) (.f64 (.f64 s c) s)))
accuracy	0.40494770891541587	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s c) x) (.f64 (*.f64 c x) s))))
accuracy	3.28871925494338	(.f64 (.f64 c x) s)
accuracy	5.445349579327267	(.f64 (.f64 s c) x)
accuracy	31.446438630479584	#s(approx (cos (* 2 x)) #s(literal 1 binary64))
accuracy	0.00390625	(cos.f64 (*.f64 #s(literal 2 binary64) x))
accuracy	0.139003759768442	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 s (.f64 x c))) (.f64 s (*.f64 x c)))
accuracy	0.234375	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 s (*.f64 x c)))
accuracy	3.28871925494338	(.f64 s (.f64 x c))

Samples

82.0ms

256×

valid

Compiler

Compiled 282 to 40 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-mult: 24.0ms (40.8% of total)

ival-div: 12.0ms (20.4% of total)

ival-cos: 11.0ms (18.7% of total)

ival-pow2: 10.0ms (17% of total)

ival-add: 1.0ms (1.7% of total)

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

exact: 0.0ms (0% of total)

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

series67.0ms (0.7%)

Memory

3.5MiB live, 115.8MiB allocated

Counts

27 → 756

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	c	@	0	((/ (/ (cos (* 2 x)) (* s (* x c))) (* s (* x c))) (/ (cos (* 2 x)) (* s (* x c))) (cos (* 2 x)) (* 2 x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* s c) x) (* (* c x) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* x c) x)) (* (* x c) x) (* x c) (/ (* (/ -1 x) (/ -1 x)) c) (* (/ -1 x) (/ -1 x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ -1 x) (cos (+ x x)) (* (* x c) (* (* x (* s s)) c)) (* (* x (* s s)) c) (* s (* x c)) (* (* s c) x) (* (* c x) s) (/ (/ 1 (* (* x c) x)) (* (* s c) s)) (* (* s c) s) (/ (/ (* (/ -1 x) (/ -1 x)) c) (* (* s c) s)) (* x (* s s)) (/ (cos (+ x x)) (* (* x c) (* (* x (* s s)) c))))
6.0ms	x	@	inf	((/ (/ (cos (* 2 x)) (* s (* x c))) (* s (* x c))) (/ (cos (* 2 x)) (* s (* x c))) (cos (* 2 x)) (* 2 x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* s c) x) (* (* c x) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* x c) x)) (* (* x c) x) (* x c) (/ (* (/ -1 x) (/ -1 x)) c) (* (/ -1 x) (/ -1 x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ -1 x) (cos (+ x x)) (* (* x c) (* (* x (* s s)) c)) (* (* x (* s s)) c) (* s (* x c)) (* (* s c) x) (* (* c x) s) (/ (/ 1 (* (* x c) x)) (* (* s c) s)) (* (* s c) s) (/ (/ (* (/ -1 x) (/ -1 x)) c) (* (* s c) s)) (* x (* s s)) (/ (cos (+ x x)) (* (* x c) (* (* x (* s s)) c))))
5.0ms	x	@	-inf	((/ (/ (cos (* 2 x)) (* s (* x c))) (* s (* x c))) (/ (cos (* 2 x)) (* s (* x c))) (cos (* 2 x)) (* 2 x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* s c) x) (* (* c x) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* x c) x)) (* (* x c) x) (* x c) (/ (* (/ -1 x) (/ -1 x)) c) (* (/ -1 x) (/ -1 x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ -1 x) (cos (+ x x)) (* (* x c) (* (* x (* s s)) c)) (* (* x (* s s)) c) (* s (* x c)) (* (* s c) x) (* (* c x) s) (/ (/ 1 (* (* x c) x)) (* (* s c) s)) (* (* s c) s) (/ (/ (* (/ -1 x) (/ -1 x)) c) (* (* s c) s)) (* x (* s s)) (/ (cos (+ x x)) (* (* x c) (* (* x (* s s)) c))))
4.0ms	c	@	-inf	((/ (/ (cos (* 2 x)) (* s (* x c))) (* s (* x c))) (/ (cos (* 2 x)) (* s (* x c))) (cos (* 2 x)) (* 2 x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* s c) x) (* (* c x) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* x c) x)) (* (* x c) x) (* x c) (/ (* (/ -1 x) (/ -1 x)) c) (* (/ -1 x) (/ -1 x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ -1 x) (cos (+ x x)) (* (* x c) (* (* x (* s s)) c)) (* (* x (* s s)) c) (* s (* x c)) (* (* s c) x) (* (* c x) s) (/ (/ 1 (* (* x c) x)) (* (* s c) s)) (* (* s c) s) (/ (/ (* (/ -1 x) (/ -1 x)) c) (* (* s c) s)) (* x (* s s)) (/ (cos (+ x x)) (* (* x c) (* (* x (* s s)) c))))
3.0ms	c	@	inf	((/ (/ (cos (* 2 x)) (* s (* x c))) (* s (* x c))) (/ (cos (* 2 x)) (* s (* x c))) (cos (* 2 x)) (* 2 x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* s c) x) (* (* c x) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* x c) x)) (* (* x c) x) (* x c) (/ (* (/ -1 x) (/ -1 x)) c) (* (/ -1 x) (/ -1 x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ -1 x) (cos (+ x x)) (* (* x c) (* (* x (* s s)) c)) (* (* x (* s s)) c) (* s (* x c)) (* (* s c) x) (* (* c x) s) (/ (/ 1 (* (* x c) x)) (* (* s c) s)) (* (* s c) s) (/ (/ (* (/ -1 x) (/ -1 x)) c) (* (* s c) s)) (* x (* s s)) (/ (cos (+ x x)) (* (* x c) (* (* x (* s s)) c))))

simplify215.0ms (2.2%)

Memory

2.7MiB live, 242.0MiB allocated

Algorithm

1×	egg-herbie

Rules

26 402×	`lower-fma.f64`
26 402×	`lower-fma.f32`
6 430×	`lower-*.f64`
6 430×	`lower-*.f32`
3 062×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	7680
1	208	7680
2	637	7604
3	2467	7550
4	4436	7550
0	8075	7496

Stop Event

1×	iter limit
1×	node limit

Counts

756 → 756

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

rewrite67.0ms (0.7%)

Memory

-19.5MiB live, 101.1MiB allocated

Rules

836×	`lower-/.f32`
820×	`lower-/.f64`
814×	`lower-*.f32`
784×	`lower-*.f64`
140×	`frac-2neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	45	290
0	73	282
1	237	226
0	1346	226

Stop Event

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

Counts

27 → 584

Calls

Call 1

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

Outputs
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eval190.0ms (1.9%)

Memory: 30.6MiB live, 298.0MiB allocated
Compiler: Compiled 25 113 to 1 472 computations (94.1% saved)

prune176.0ms (1.8%)

Memory

16.5MiB live, 337.1MiB allocated

Pruning

47 alts after pruning (43 fresh and 4 done)

	Pruned	Kept	Total
New	1 478	34	1 512
Fresh	33	9	42
Picked	3	2	5
Done	1	2	3
Total	1 515	47	1 562

Accuracy

100.0%

Counts

1 562 → 47

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.5%	(/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) s) x) c) (.f64 s (*.f64 x c)))
	98.3%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 x c))) (.f64 s (.f64 x c)))
	76.4%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 x (.f64 s x)) s)) (*.f64 c c))
	95.1%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 s x) c)) (.f64 s (*.f64 x c)))
	56.9%	(/.f64 (/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 s (.f64 x c))) (.f64 s (*.f64 x c)))
	74.8%	(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 s (.f64 x c))) (.f64 s (.f64 x c)))
	78.0%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 (*.f64 s s) x) c) x) c))
	93.6%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 c x) s) (*.f64 c s)) x))
	86.6%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 c s) s) (*.f64 c x)) x))
	73.4%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 c s) s) c) (*.f64 x x)))
	83.5%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 c x) x) (.f64 (*.f64 c s) s)))
	95.0%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x c) (.f64 (.f64 (*.f64 c x) s) s)))
	91.0%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x c) (.f64 (.f64 s x) (*.f64 c s))))
	51.3%	(/.f64 #s(approx (/ (cos (* 2 x)) (* s (* x c))) (/.f64 (fma.f64 (.f64 (/.f64 (/.f64 x s) c) x) (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 s c))) x)) (.f64 s (*.f64 x c)))
	55.7%	(/.f64 #s(approx (/ (cos (* 2 x)) (* s (* x c))) (/.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 s c))) x)) (.f64 s (*.f64 x c)))
	50.6%	(/.f64 #s(approx (cos (* 2 x)) (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))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s c) x) (.f64 (*.f64 c x) s))))
	52.4%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s c) x) (.f64 (*.f64 c x) s))))
	52.4%	(/.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)) (.f64 x s)) s))
	55.7%	(/.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 s c) x) (.f64 (*.f64 c x) s))))
	56.8%	(/.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))))
	66.1%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (/.f64 (/.f64 (.f64 (.f64 c s) s) (/.f64 #s(literal -1 binary64) x)) (/.f64 (/.f64 #s(literal -1 binary64) x) c))))
	72.9%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (/.f64 (.f64 c s) (/.f64 #s(literal -1 binary64) x)) (/.f64 s (/.f64 (/.f64 #s(literal -1 binary64) x) c)))))
	62.2%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 (*.f64 x x) c) c) s) s)))
	66.1%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 (*.f64 x c) x) c) s) s)))
	73.5%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 x (*.f64 s x)) s) c) c)))
	74.6%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 x c) (sqrt.f64 s)) (sqrt.f64 s)) (.f64 (.f64 c x) s))))
	74.0%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) s) (*.f64 s x)) c)))
	72.9%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) s) (*.f64 c s)) x)))
	68.7%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x (.f64 s x)) s) (*.f64 c c))))
	64.1%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x x) s) (.f64 (*.f64 s c) c))))
	74.3%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s c) x) (.f64 (*.f64 s x) c))))
	74.7%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s c) x) (.f64 (*.f64 c s) x))))
	61.4%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) (.f64 c x)) (*.f64 s s))))
✓	74.6%	(/.f64 #s(approx (cos (* 2 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))))
	73.3%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 c x) (.f64 s (.f64 (*.f64 c x) s)))))
	56.9%	(.f64 (pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64)) #s(approx (cos ( x 2)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))))
	68.3%	#s(approx (/ (/ (cos (* x 2)) (* (neg c) c)) (neg (pow (* x s) 2))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 s (.f64 c c)) x)) (.f64 x s)))
✓	60.9%	#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)))
	60.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (.f64 (.f64 (*.f64 c s) s) (neg.f64 c))))
✓	60.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) c) (.f64 (*.f64 s c) s)))
	62.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 s s) x) c) c)) x))
	68.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 s x)) s)) (.f64 c c)))
✓	63.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x c) x)) (.f64 (.f64 s c) s)))
	63.7%	#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 x) c) 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 (.f64 s c) s))) (.f64 c x)))
	72.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) s) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) c) (.f64 c s))))
	65.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (.f64 (.f64 c s) s) c))))

Compiler

Compiled 2 801 to 1 029 computations (63.3% saved)

regimes193.0ms (2%)

Memory

-34.2MiB live, 290.7MiB allocated

Counts

124 → 1

Calls

Call 1

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

Outputs
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 x c))) (.f64 s (.f64 x c)))

Calls

6 calls:

35.0ms	s
32.0ms	x
32.0ms	c
31.0ms	(pow.f64 s #s(literal 2 binary64))
28.0ms	(pow.f64 c #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
98.3%	1	`x`
98.3%	1	`c`
98.3%	1	`s`
98.3%	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)))`
98.3%	1	`(pow.f64 c #s(literal 2 binary64))`
98.3%	1	`(pow.f64 s #s(literal 2 binary64))`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes185.0ms (1.9%)

Memory

-10.8MiB live, 197.9MiB allocated

Counts

93 → 1

Calls

Call 1

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

Outputs
(/.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
30.0ms	(/.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)))
25.0ms	x
24.0ms	(pow.f64 c #s(literal 2 binary64))
23.0ms	s

Results

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

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes139.0ms (1.4%)

Memory

31.3MiB live, 146.7MiB allocated

Counts

72 → 2

Calls

Call 1

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

Calls

6 calls:

38.0ms	(pow.f64 c #s(literal 2 binary64))
27.0ms	c
18.0ms	x
18.0ms	s
17.0ms	(pow.f64 s #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
75.6%	1	`s`
79.8%	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)))`
75.6%	1	`(pow.f64 s #s(literal 2 binary64))`
75.6%	1	`c`
75.6%	1	`(pow.f64 c #s(literal 2 binary64))`
75.6%	1	`x`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes36.0ms (0.4%)

Memory

-21.9MiB live, 21.8MiB allocated

Counts

36 → 1

Calls

Call 1

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

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

Calls

2 calls:

26.0ms	(pow.f64 c #s(literal 2 binary64))
8.0ms	(/.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
75.6%	1	`(pow.f64 c #s(literal 2 binary64))`
75.6%	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 19 to 17 computations (10.5% saved)

regimes46.0ms (0.5%)

Memory

18.8MiB live, 57.7MiB allocated

Counts

25 → 1

Calls

Call 1

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

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

Calls

6 calls:

11.0ms	(/.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)))
7.0ms	c
7.0ms	x
7.0ms	s
7.0ms	(pow.f64 s #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
74.7%	1	`s`
74.7%	1	`(pow.f64 s #s(literal 2 binary64))`
74.7%	1	`c`
74.7%	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)))`
74.7%	1	`x`
74.7%	1	`(pow.f64 c #s(literal 2 binary64))`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes60.0ms (0.6%)

Memory

-21.4MiB live, 17.8MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

Outputs
(/.f64 #s(approx (cos (* 2 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))))

Calls

6 calls:

50.0ms	(pow.f64 s #s(literal 2 binary64))
2.0ms	c
2.0ms	s
2.0ms	x
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
74.6%	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)))`
74.6%	1	`s`
74.6%	1	`(pow.f64 s #s(literal 2 binary64))`
74.6%	1	`x`
74.6%	1	`c`
74.6%	1	`(pow.f64 c #s(literal 2 binary64))`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes8.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

1.0ms	(pow.f64 s #s(literal 2 binary64))
1.0ms	s
1.0ms	c
1.0ms	x
1.0ms	(/.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
73.3%	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)))`
73.3%	1	`s`
73.3%	1	`(pow.f64 s #s(literal 2 binary64))`
73.3%	1	`x`
73.3%	1	`c`
73.3%	1	`(pow.f64 c #s(literal 2 binary64))`

Compiler

Compiled 25 to 31 computations (-24% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.1806001276078029e-132	-0.0

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify27.0ms (0.3%)

Memory

-12.6MiB live, 26.5MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`-commutative-binary64-.f64`
2×	`1-exp-binary32-exp.f32`
2×	`1-exp-binary64-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	248
1	75	248

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 x c))) (.f64 s (.f64 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 -399583814440447/399583814440447005616844445413525287135820562261116307309972090832047582568929999375399181192126972308457847183540047730617340886948900519205142528 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 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x s) c)) (.f64 (.f64 x s) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x s) c)) (.f64 (.f64 x s) c)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s c) x) (.f64 (*.f64 c s) x))))
(/.f64 #s(approx (cos (* 2 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)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 c x) (.f64 s (.f64 (*.f64 c x) s)))))

Outputs
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 x c))) (.f64 s (.f64 x c)))
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c x) s)) (.f64 (.f64 c x) s))
(/.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 -399583814440447/399583814440447005616844445413525287135820562261116307309972090832047582568929999375399181192126972308457847183540047730617340886948900519205142528 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 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x s) c)) (.f64 (.f64 x s) 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 -399583814440447/399583814440447005616844445413525287135820562261116307309972090832047582568929999375399181192126972308457847183540047730617340886948900519205142528 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 (/.f64 #s(literal 1 binary64) (.f64 (.f64 s x) c)) (.f64 (.f64 s x) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x s) c)) (.f64 (.f64 x s) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 s x) c)) (.f64 (.f64 s x) c)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s c) x) (.f64 (*.f64 c s) x))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c s) x) (.f64 (*.f64 c s) x))))
(/.f64 #s(approx (cos (* 2 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)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 c x) (.f64 s (.f64 (*.f64 c x) s)))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) s) s) (*.f64 c x))))

soundness1.4s (14.6%)

Memory

-13.0MiB live, 394.6MiB allocated

Rules

21 408×	`lower-fma.f64`
21 408×	`lower-fma.f32`
19 320×	`lower-fma.f64`
19 320×	`lower-fma.f32`
15 664×	`lower-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	7464
1	146	7464
2	441	7394
3	1838	7344
4	4563	7304
5	6739	7304
0	8034	7256
0	80	6824
1	196	6824
2	599	6746
3	2358	6694
4	4758	6654
0	8676	6606
0	50	1512
1	117	1512
2	383	1498
3	1949	1488
4	4763	1480
5	6909	1480
0	8006	1468
0	45	290
0	73	282
1	237	226
0	1346	226
0	43	233
0	71	223
1	231	183
2	1175	175
0	8623	175
0	46	259
0	74	235
1	212	219
2	923	202
3	7772	202
0	8723	202
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×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 560 to 304 computations (45.7% saved)

preprocess207.0ms (2.1%)

Memory: 39.1MiB live, 354.8MiB allocated
Remove: (abs x)
Compiler: Compiled 1 442 to 746 computations (48.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze172.0ms (1.8%)

sample1.8s (18.5%)

explain239.0ms (2.4%)

preprocess51.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify24.0ms (0.2%)

localize52.0ms (0.5%)

series44.0ms (0.4%)

simplify201.0ms (2.1%)

rewrite164.0ms (1.7%)

eval327.0ms (3.3%)

prune55.0ms (0.6%)

simplify134.0ms (1.4%)

localize118.0ms (1.2%)

series60.0ms (0.6%)

simplify283.0ms (2.9%)

rewrite146.0ms (1.5%)

eval753.0ms (7.7%)

prune98.0ms (1%)

simplify124.0ms (1.3%)

localize137.0ms (1.4%)

series56.0ms (0.6%)

simplify387.0ms (4%)

rewrite216.0ms (2.2%)

eval469.0ms (4.8%)

prune243.0ms (2.5%)

simplify250.0ms (2.6%)

localize120.0ms (1.2%)

series67.0ms (0.7%)

simplify215.0ms (2.2%)

rewrite67.0ms (0.7%)

eval190.0ms (1.9%)

prune176.0ms (1.8%)

regimes193.0ms (2%)

regimes185.0ms (1.9%)

regimes139.0ms (1.4%)

regimes36.0ms (0.4%)

regimes46.0ms (0.5%)

regimes60.0ms (0.6%)

regimes8.0ms (0.1%)

bsearch1.0ms (0%)

simplify27.0ms (0.3%)

soundness1.4s (14.6%)

preprocess207.0ms (2.1%)

end0.0ms (0%)

Profiling