Metrics for mixedcos

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze142.0ms (1.5%)

Memory

-6.3MiB live, 198.6MiB 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)

sample1.6s (16.6%)

Memory

13.0MiB live, 1 634.1MiB allocated

Samples

998.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 755.0ms

ival-mult: 276.0ms (36.6% of total)

ival-cos: 210.0ms (27.8% of total)

ival-pow2: 203.0ms (26.9% of total)

ival-div: 51.0ms (6.8% of total)

ival-true: 6.0ms (0.8% of total)

exact: 5.0ms (0.7% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain171.0ms (1.8%)

Memory

44.8MiB live, 433.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
62	1	(-8.789369599501436e+130 1.2007777509001328e-165 -5.383162877446878e-128)	3	(1.937622919406484e+61 -1.9005952847837906e+152 -2.086689288628715e-217)	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`
44	0	-	2	(-3.53198490349757e+213 -4.545832205093282e+261 3.8129070859839806e-157)	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`
21	0	-	1	(3.076932619212248e+271 7.30596878283819e-249 2.43489408867333e-296)	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`
1	0	-	0	-	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
0	0	-	0	-	`(pow.f64 c #s(literal 2 binary64))`
0	0	-	0	-	`(*.f64 #s(literal 2 binary64) x)`
0	126	(3.3940803395228036e+57 1.0746160562166545e+245 5.677534876441241e+185)	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	126	0
`*.f64`	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	*nu**	25	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*ou**	21	0
↳	`(pow.f64 c #s(literal 2 binary64))`	overflow	75
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	underflow	67
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	underflow	59
↳	`(pow.f64 s #s(literal 2 binary64))`	underflow	70
`*.f64`	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	*no**	17	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*no**	14	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*nu**	13	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*uo**	12	0
↳	`(pow.f64 c #s(literal 2 binary64))`	underflow	63
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	overflow	58
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	overflow	59
↳	`(pow.f64 s #s(literal 2 binary64))`	overflow	61
`*.f64`	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	*no**	10	0
`*.f64`	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	*nu**	10	0
`/.f64`	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`	n/o	1	0
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	overflow	58
↳	`(pow.f64 c #s(literal 2 binary64))`	overflow	75
↳	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	overflow	77
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	overflow	59
↳	`(pow.f64 s #s(literal 2 binary64))`	overflow	61

Confusion

	Predicted +	Predicted -
+	92	0
-	87	77

Precision

0.5139664804469274

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	92	0	0
-	87	0	77

Precision?

0.5139664804469274

Recall?

1.0

Freqs

test

number	freq
0	77
1	115
2	58
3	6

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

64.0ms

512×

valid

Compiler

Compiled 132 to 40 computations (69.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 16.0ms (34.5% of total)

ival-pow2: 15.0ms (32.3% of total)

ival-cos: 11.0ms (23.7% of total)

ival-div: 3.0ms (6.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess89.0ms (0.9%)

Memory

-41.2MiB live, 59.8MiB 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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.5%	(/.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)

simplify15.0ms (0.2%)

Memory

-6.7MiB live, 29.1MiB 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

localize43.0ms (0.4%)

Memory

8.9MiB live, 85.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.19581162567698904	(/.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	3.619193884578702	(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)
accuracy	10.76163907421391	(*.f64 x (pow.f64 s #s(literal 2 binary64)))
accuracy	14.273622089936998	(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))

Samples

32.0ms

256×

valid

Compiler

Compiled 58 to 14 computations (75.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-pow2: 10.0ms (43.6% of total)

ival-mult: 6.0ms (26.2% of total)

ival-cos: 5.0ms (21.8% of total)

ival-div: 1.0ms (4.4% of total)

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

exact: 0.0ms (0% of total)

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

series28.0ms (0.3%)

Memory

25.9MiB live, 62.3MiB 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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#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) (patch (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	s	@	inf	((pow c 2) (pow s 2) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))))
3.0ms	x	@	inf	((pow c 2) (pow s 2) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))))
3.0ms	x	@	0	((pow c 2) (pow s 2) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))))
2.0ms	s	@	0	((pow c 2) (pow s 2) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))))
2.0ms	x	@	-inf	((pow c 2) (pow s 2) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))))

simplify187.0ms (2%)

Memory

1.2MiB live, 303.5MiB 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)

rewrite275.0ms (2.9%)

Memory

-18.2MiB live, 362.9MiB allocated

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

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

Counts

8 → 685

Calls

Call 1

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

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

eval118.0ms (1.2%)

Memory: 2.2MiB live, 153.1MiB allocated
Compiler: Compiled 23 459 to 2 481 computations (89.4% saved)

prune35.0ms (0.4%)

Memory

-10.1MiB live, 78.8MiB allocated

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	830	23	853
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	831	23	854

Accuracy

100.0%

Counts

854 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	88.3%	(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (.f64 x s) #s(literal 2 binary64))) c) c)
	75.0%	(/.f64 (/.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 c #s(literal -2 binary64)) x)) (*.f64 x s)) s)
	76.3%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (.f64 x s) #s(literal 2 binary64))) (*.f64 c c))
▶	88.3%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c)) c)
▶	65.3%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 x (.f64 s s))) (.f64 x (*.f64 c c)))
	94.3%	(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) (neg.f64 (pow.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))))
	18.2%	(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (.f64 (/.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))))
	94.3%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (.f64 (pow.f64 (.f64 x (*.f64 c s)) #s(literal 2 binary64)) #s(literal 2 binary64)))
	84.0%	(/.f64 (.f64 (/.f64 (pow.f64 (.f64 c s) #s(literal -2 binary64)) x) (cos.f64 (*.f64 x #s(literal 2 binary64)))) x)
	94.3%	(/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (.f64 x (*.f64 c s)) #s(literal 2 binary64)))
▶	77.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) (.f64 s s)))
	74.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 (*.f64 x s) s) x)))
	71.6%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (*.f64 x s)) s)))
	88.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) c) c))
	83.8%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x))
	75.8%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 c c)) (.f64 x s)) s))
	76.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 c c)) s) (.f64 x s)))
	76.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 (.f64 x (.f64 s s)) c)))
▶	96.6%	(/.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))))
	94.3%	(.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) (neg.f64 (cos.f64 (.f64 x #s(literal 2 binary64)))))
▶	58.0%	#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)))
	68.2%	#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))
	42.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c)) (*.f64 x x)))

Compiler

Compiled 784 to 560 computations (28.6% saved)

simplify24.0ms (0.3%)

Memory

-1.5MiB live, 37.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

946×	`associate-/r*`
758×	`lower-/.f32`
738×	`lower-/.f64`
330×	`lower-*.f32`
302×	`lower-*.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	301
0	71	299
1	135	287
2	268	283
3	552	283
4	809	283
5	826	283
6	826	283
7	924	283
8	924	283
0	924	283

Stop Event

1×	iter limit
1×	saturated
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 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 x (.f64 s s))) (.f64 x (*.f64 c c)))
(/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 x (*.f64 s s)))
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(.f64 x (.f64 s s))
(*.f64 s s)
s
(.f64 x (.f64 c c))
(*.f64 c c)
c
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) (.f64 s s)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) (*.f64 s s))
(pow.f64 (*.f64 c x) #s(literal 2 binary64))
(*.f64 c x)
c
(*.f64 s s)
s
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c)) c)
(/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c))
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) c)
(pow.f64 (*.f64 x s) #s(literal 2 binary64))
(*.f64 x s)
s
c

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

localize128.0ms (1.3%)

Memory

-12.1MiB live, 172.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1953125	(pow.f64 (*.f64 x s) #s(literal 2 binary64))
accuracy	0.2659758018931805	(/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c))
accuracy	3.545214271915901	(.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) c)
accuracy	3.838086225629186	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c)) c)
accuracy	0	(cos.f64 (*.f64 #s(literal 2 binary64) x))
accuracy	0.19581162567698904	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) (.f64 s s)))
accuracy	0.24285126953688402	(pow.f64 (*.f64 c x) #s(literal 2 binary64))
accuracy	14.1780468718376	(.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) (*.f64 s s))
accuracy	0.6898929170840864	(/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 x (*.f64 s s)))
accuracy	10.200918965808325	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 x (.f64 s s))) (.f64 x (*.f64 c c)))
accuracy	10.76163907421391	(.f64 x (.f64 s s))
accuracy	10.996208847320993	(.f64 x (.f64 c c))
accuracy	0.1640625	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
accuracy	10.370196035587728	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c)
accuracy	13.0038256833072	(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s))
accuracy	13.87703942876909	#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	#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s)))
accuracy	0.19581162567698904	(/.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	0.22103500976844204	(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
accuracy	4.94062812685475	(.f64 (.f64 c x) s)

Samples

97.0ms

256×

valid

Compiler

Compiled 265 to 40 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 26.0ms (42.2% of total)

ival-div: 14.0ms (22.7% of total)

ival-pow2: 11.0ms (17.9% of total)

ival-cos: 10.0ms (16.2% of total)

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

exact: 0.0ms (0% of total)

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

series95.0ms (1%)

Memory

-14.3MiB live, 100.1MiB allocated

Counts

24 → 648

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

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

Calls

9 calls:

Time	Variable		Point	Expression
22.0ms	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)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ 1 x) x) c) (/ (/ 1 x) x) (/ 1 x) (/ (cos (* x 2)) (* x (* s s))) (cos (* x 2)) (* x 2) (* x (* s s)) (* (pow (* c x) 2) (* s s)) (pow (* c x) 2) (/ (/ (cos (* x 2)) (* (pow (* x s) 2) c)) c) (/ (cos (* x 2)) (* (pow (* x s) 2) c)) (* (* c x) s) (* (* (* c x) s) (* (* c x) s)) (/ (/ (/ (/ 1 x) x) c) (* (* s c) s)) (* x (* c c)) (/ (/ (cos (* x 2)) (* x (* s s))) (* x (* c c))) (/ (cos (* 2 x)) (* (pow (* c x) 2) (* s s))) (* (pow (* x s) 2) c) (pow (* x s) 2))
5.0ms	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)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ 1 x) x) c) (/ (/ 1 x) x) (/ 1 x) (/ (cos (* x 2)) (* x (* s s))) (cos (* x 2)) (* x 2) (* x (* s s)) (* (pow (* c x) 2) (* s s)) (pow (* c x) 2) (/ (/ (cos (* x 2)) (* (pow (* x s) 2) c)) c) (/ (cos (* x 2)) (* (pow (* x s) 2) c)) (* (* c x) s) (* (* (* c x) s) (* (* c x) s)) (/ (/ (/ (/ 1 x) x) c) (* (* s c) s)) (* x (* c c)) (/ (/ (cos (* x 2)) (* x (* s s))) (* x (* c c))) (/ (cos (* 2 x)) (* (pow (* c x) 2) (* s s))) (* (pow (* x s) 2) c) (pow (* x s) 2))
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)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ 1 x) x) c) (/ (/ 1 x) x) (/ 1 x) (/ (cos (* x 2)) (* x (* s s))) (cos (* x 2)) (* x 2) (* x (* s s)) (* (pow (* c x) 2) (* s s)) (pow (* c x) 2) (/ (/ (cos (* x 2)) (* (pow (* x s) 2) c)) c) (/ (cos (* x 2)) (* (pow (* x s) 2) c)) (* (* c x) s) (* (* (* c x) s) (* (* c x) s)) (/ (/ (/ (/ 1 x) x) c) (* (* s c) s)) (* x (* c c)) (/ (/ (cos (* x 2)) (* x (* s s))) (* x (* c c))) (/ (cos (* 2 x)) (* (pow (* c x) 2) (* s s))) (* (pow (* x s) 2) c) (pow (* x s) 2))
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)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ 1 x) x) c) (/ (/ 1 x) x) (/ 1 x) (/ (cos (* x 2)) (* x (* s s))) (cos (* x 2)) (* x 2) (* x (* s s)) (* (pow (* c x) 2) (* s s)) (pow (* c x) 2) (/ (/ (cos (* x 2)) (* (pow (* x s) 2) c)) c) (/ (cos (* x 2)) (* (pow (* x s) 2) c)) (* (* c x) s) (* (* (* c x) s) (* (* c x) s)) (/ (/ (/ (/ 1 x) x) c) (* (* s c) s)) (* x (* c c)) (/ (/ (cos (* x 2)) (* x (* s s))) (* x (* c c))) (/ (cos (* 2 x)) (* (pow (* c x) 2) (* s s))) (* (pow (* x s) 2) c) (pow (* x s) 2))
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)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ 1 x) x) c) (/ (/ 1 x) x) (/ 1 x) (/ (cos (* x 2)) (* x (* s s))) (cos (* x 2)) (* x 2) (* x (* s s)) (* (pow (* c x) 2) (* s s)) (pow (* c x) 2) (/ (/ (cos (* x 2)) (* (pow (* x s) 2) c)) c) (/ (cos (* x 2)) (* (pow (* x s) 2) c)) (* (* c x) s) (* (* (* c x) s) (* (* c x) s)) (/ (/ (/ (/ 1 x) x) c) (* (* s c) s)) (* x (* c c)) (/ (/ (cos (* x 2)) (* x (* s s))) (* x (* c c))) (/ (cos (* 2 x)) (* (pow (* c x) 2) (* s s))) (* (pow (* x s) 2) c) (pow (* x s) 2))

simplify280.0ms (2.9%)

Memory

21.9MiB live, 247.0MiB allocated

Algorithm

1×	egg-herbie

Rules

17 142×	`lower-fma.f64`
17 142×	`lower-fma.f32`
6 344×	`lower-*.f64`
6 344×	`lower-*.f32`
2 262×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	7308
1	248	7308
2	781	7222
3	3163	7162
4	5265	7162
0	8110	7108

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 648

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

rewrite387.0ms (4%)

Memory

5.2MiB live, 443.0MiB allocated

Rules

5 292×	`lower-*.f32`
5 264×	`lower-*.f64`
3 732×	`lower-/.f32`
3 712×	`lower-/.f64`
1 672×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	241
0	71	225
1	244	199
2	1259	191
3	7868	191
0	8866	191

Stop Event

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

Counts

24 → 1 720

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

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

eval356.0ms (3.7%)

Memory: 76.1MiB live, 1 014.7MiB allocated
Compiler: Compiled 48 267 to 3 949 computations (91.8% saved)

prune239.0ms (2.5%)

Memory

-44.3MiB live, 272.8MiB allocated

Pruning

39 alts after pruning (39 fresh and 0 done)

	Pruned	Kept	Total
New	2 581	38	2 619
Fresh	17	1	18
Picked	5	0	5
Done	0	0	0
Total	2 603	39	2 642

Accuracy

100.0%

Counts

2 642 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.3%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 s s))) (.f64 x (.f64 c c)))
▶	96.8%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 c x) s)) (.f64 (*.f64 c x) s))
	78.9%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 (*.f64 s c) s)))) c)
	44.8%	(/.f64 (/.f64 #s(approx (cos (* x 2)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 x (.f64 s s))) (.f64 x (*.f64 c c)))
	76.6%	(/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) c)) c)
	56.3%	(/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (.f64 x (.f64 s s))) (.f64 x (.f64 c c)))
	77.0%	(/.f64 (.f64 (pow.f64 (.f64 c x) #s(literal -2 binary64)) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 s s))
	96.6%	(/.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))))
	72.6%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 x x) c) s) (.f64 s c)))
	76.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 s s) x) c) (.f64 c x)))
	79.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (neg.f64 x) c) x) (.f64 (.f64 (neg.f64 s) c) s)))
	69.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x x) c) (.f64 (.f64 s c) s)))
	77.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 c x) (.f64 c x)) (.f64 s s)))
	92.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s x) c) (.f64 (*.f64 c x) s))))
▶	91.6%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s c) x) (.f64 (*.f64 c x) s))))
	70.3%	(/.f64 #s(approx (/ (cos (* x 2)) (* (pow (* x s) 2) c)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x s) x)) (*.f64 s c))) c)
	59.0%	(/.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))))
	61.1%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) (*.f64 s s)))
▶	75.1%	(/.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))))
	96.7%	(.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 c x) s)) (pow.f64 (.f64 (.f64 c x) s) #s(literal -1 binary64)))
	75.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64)))
	66.1%	#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)))
	68.3%	#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)))
▶	59.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 (.f64 (*.f64 (neg.f64 s) c) s) (neg.f64 c))))
	76.6%	#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))
	68.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 (*.f64 c x) #s(literal -2 binary64)) s) s))
	61.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) s) (.f64 (.f64 s c) c)))
	63.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 s #s(literal -2 binary64)) (.f64 c x)) (.f64 c x)))
	58.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) c) (.f64 (*.f64 s c) s)))
▶	61.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) c)) (.f64 (*.f64 s c) s)))
	71.0%	#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 (neg.f64 s) x) c) s)))
	58.0%	#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)))
	58.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) c)) (.f64 (.f64 s c) s)))
	62.6%	#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)))
	65.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (.f64 (.f64 (neg.f64 s) c) s) (.f64 c x))))
	42.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c)) (*.f64 x x)))
	76.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (/.f64 c (/.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64)) c))))
	76.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (.f64 (/.f64 (pow.f64 (.f64 s x) #s(literal -2 binary64)) (neg.f64 c)) (/.f64 #s(literal -1 binary64) c)))
	68.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (.f64 (/.f64 (pow.f64 (.f64 c x) #s(literal -2 binary64)) (neg.f64 s)) (/.f64 #s(literal 1 binary64) (neg.f64 s))))

Compiler

Compiled 1 150 to 886 computations (23% saved)

simplify104.0ms (1.1%)

Memory

25.5MiB live, 99.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 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)) #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 (.f64 (neg.f64 s) c) s)
cost-diff	0	(pow.f64 x #s(literal -2 binary64))
cost-diff	0	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 (.f64 (*.f64 (neg.f64 s) c) s) (neg.f64 c))))
cost-diff	256	(.f64 (.f64 (*.f64 (neg.f64 s) c) s) (neg.f64 c))
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	0	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 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 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) c)) (.f64 (*.f64 s c) s)))
cost-diff	128	(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 x) c))
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 (.f64 c x) s)
cost-diff	0	(*.f64 x #s(literal 2 binary64))
cost-diff	0	(cos.f64 (*.f64 x #s(literal 2 binary64)))
cost-diff	0	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 c x) s)) (.f64 (*.f64 c x) s))

Rules

2 978×	`lower-*.f32`
2 962×	`lower-/.f32`
2 954×	`lower-*.f64`
2 946×	`lower-/.f64`
2 454×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	363
0	75	363
1	145	363
2	377	354
3	1113	354
4	2138	354
5	4201	354
6	6280	354
7	7326	354
8	7917	354
0	8001	354

Stop Event

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

Calls

Call 1

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

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

localize115.0ms (1.2%)

Memory

-14.4MiB live, 146.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.19581162567698904	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s c) x) (.f64 (*.f64 c x) s))))
accuracy	0.22103500976844204	(.f64 (.f64 (.f64 s c) x) (.f64 (*.f64 c x) s))
accuracy	4.94062812685475	(.f64 (.f64 c x) s)
accuracy	8.276840124720353	(.f64 (.f64 s c) x)
accuracy	0.15234375	(.f64 (.f64 (neg.f64 s) c) s)
accuracy	4.751096849142872	(.f64 (.f64 (*.f64 (neg.f64 s) c) s) (neg.f64 c))
accuracy	13.87703942876909	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 (.f64 (*.f64 (neg.f64 s) c) s) (neg.f64 c))))
accuracy	17.312086229105585	(/.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 (.f64 (*.f64 (neg.f64 s) c) s) (neg.f64 c)))
accuracy	0.15234375	(.f64 (.f64 s c) s)
accuracy	0.1640625	(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 x) c))
accuracy	13.0038256833072	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) c)) (.f64 (*.f64 s c) s))
accuracy	13.87703942876909	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) c)) (.f64 (*.f64 s c) s)))
accuracy	0.19581162567698904	(/.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	0.22103500976844204	(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
accuracy	4.94062812685475	(.f64 (.f64 c x) s)
accuracy	28.978793046107125	#s(approx (cos (* 2 x)) #s(literal 1 binary64))
accuracy	0	(cos.f64 (*.f64 x #s(literal 2 binary64)))
accuracy	0.11328125	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 c x) s)) (.f64 (*.f64 c x) s))
accuracy	0.5526939802224712	(/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (*.f64 c x) s))
accuracy	4.94062812685475	(.f64 (.f64 c x) s)

Samples

88.0ms

256×

valid

Compiler

Compiled 284 to 40 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-mult: 26.0ms (45.5% of total)

ival-cos: 11.0ms (19.3% of total)

ival-div: 10.0ms (17.5% of total)

ival-pow2: 4.0ms (7% of total)

ival-neg: 3.0ms (5.3% of total)

ival-pow: 3.0ms (5.3% of total)

exact: 1.0ms (1.8% of total)

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

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

series59.0ms (0.6%)

Memory

-19.5MiB live, 98.8MiB allocated

Counts

25 → 684

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	s	@	0	((/ (/ (cos (* x 2)) (* (* c x) s)) (* (* c x) s)) (cos (* x 2)) (* x 2) (* (* c x) s) (/ (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)) (/ (/ -1 x) (* (neg x) c)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ -1 x) (* (neg x) c)) (* (* s c) s)) (/ -1 x) (* (* (* (neg s) c) s) (neg c)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow x -2) (* (* (neg s) c) s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (cos (* x 2)) (* (* c x) s)) (* (* s c) s) (/ (pow x -2) (* (* (* (neg s) c) s) (neg c))) (* (* s c) x) (* (* (* s c) x) (* (* c x) s)))
4.0ms	c	@	-inf	((/ (/ (cos (* x 2)) (* (* c x) s)) (* (* c x) s)) (cos (* x 2)) (* x 2) (* (* c x) s) (/ (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)) (/ (/ -1 x) (* (neg x) c)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ -1 x) (* (neg x) c)) (* (* s c) s)) (/ -1 x) (* (* (* (neg s) c) s) (neg c)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow x -2) (* (* (neg s) c) s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (cos (* x 2)) (* (* c x) s)) (* (* s c) s) (/ (pow x -2) (* (* (* (neg s) c) s) (neg c))) (* (* s c) x) (* (* (* s c) x) (* (* c x) s)))
3.0ms	s	@	-inf	((/ (/ (cos (* x 2)) (* (* c x) s)) (* (* c x) s)) (cos (* x 2)) (* x 2) (* (* c x) s) (/ (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)) (/ (/ -1 x) (* (neg x) c)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ -1 x) (* (neg x) c)) (* (* s c) s)) (/ -1 x) (* (* (* (neg s) c) s) (neg c)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow x -2) (* (* (neg s) c) s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (cos (* x 2)) (* (* c x) s)) (* (* s c) s) (/ (pow x -2) (* (* (* (neg s) c) s) (neg c))) (* (* s c) x) (* (* (* s c) x) (* (* c x) s)))
3.0ms	s	@	inf	((/ (/ (cos (* x 2)) (* (* c x) s)) (* (* c x) s)) (cos (* x 2)) (* x 2) (* (* c x) s) (/ (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)) (/ (/ -1 x) (* (neg x) c)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ -1 x) (* (neg x) c)) (* (* s c) s)) (/ -1 x) (* (* (* (neg s) c) s) (neg c)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow x -2) (* (* (neg s) c) s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (cos (* x 2)) (* (* c x) s)) (* (* s c) s) (/ (pow x -2) (* (* (* (neg s) c) s) (neg c))) (* (* s c) x) (* (* (* s c) x) (* (* c x) s)))
3.0ms	c	@	0	((/ (/ (cos (* x 2)) (* (* c x) s)) (* (* c x) s)) (cos (* x 2)) (* x 2) (* (* c x) s) (/ (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)) (/ (/ -1 x) (* (neg x) c)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ -1 x) (* (neg x) c)) (* (* s c) s)) (/ -1 x) (* (* (* (neg s) c) s) (neg c)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow x -2) (* (* (neg s) c) s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (cos (* x 2)) (* (* c x) s)) (* (* s c) s) (/ (pow x -2) (* (* (* (neg s) c) s) (neg c))) (* (* s c) x) (* (* (* s c) x) (* (* c x) s)))

simplify334.0ms (3.5%)

Memory

20.3MiB live, 318.4MiB allocated

Algorithm

1×	egg-herbie

Rules

26 452×	`lower-fma.f64`
26 452×	`lower-fma.f32`
6 432×	`lower-*.f64`
6 432×	`lower-*.f32`
3 072×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	7512
1	193	7512
2	631	7436
3	2522	7382
4	4484	7382
0	8132	7328

Stop Event

1×	iter limit
1×	node limit

Counts

684 → 684

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

rewrite225.0ms (2.3%)

Memory

-2.0MiB live, 270.3MiB allocated

Rules

5 380×	`lower-*.f32`
5 356×	`lower-*.f64`
3 870×	`lower-/.f32`
3 854×	`lower-/.f64`
976×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	304
0	75	278
1	233	273
2	1243	219
0	8361	219

Stop Event

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

Counts

25 → 1 445

Calls

Call 1

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

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

eval385.0ms (4%)

Memory: -8.5MiB live, 815.8MiB allocated
Compiler: Compiled 42 788 to 3 818 computations (91.1% saved)

prune153.0ms (1.6%)

Memory

33.9MiB live, 419.7MiB allocated

Pruning

54 alts after pruning (53 fresh and 1 done)

	Pruned	Kept	Total
New	2 396	37	2 433
Fresh	18	16	34
Picked	4	1	5
Done	0	0	0
Total	2 418	54	2 472

Accuracy

100.0%

Counts

2 472 → 54

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.8%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c x) s)) (.f64 (.f64 c x) s))
	65.3%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 s s))) (.f64 x (.f64 c c)))
	81.8%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c x)) (.f64 (.f64 (*.f64 s c) s) x))
	56.8%	(/.f64 (/.f64 #s(approx (cos (* x 2)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 c x) s)) (.f64 (*.f64 c x) s))
	44.8%	(/.f64 (/.f64 #s(approx (cos (* x 2)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 x (.f64 s s))) (.f64 x (*.f64 c c)))
	75.3%	(/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (.f64 (.f64 c x) s)) (.f64 (.f64 c x) s))
▶	56.3%	(/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (.f64 x (.f64 s s))) (.f64 x (.f64 c c)))
	91.6%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s c) x) (.f64 (*.f64 c x) s))))
	96.6%	(/.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))))
	72.6%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 x x) c) s) (.f64 s c)))
	76.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 s s) x) c) (.f64 c x)))
	77.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 c x) (.f64 c x)) (.f64 s s)))
	78.8%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 (*.f64 (neg.f64 s) c) s) x) x) (neg.f64 c))))
	68.6%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 (*.f64 x x) c) c) s) s)))
	82.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 s c) s) x) (*.f64 c x))))
	89.6%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s (.f64 c x)) c) (*.f64 s x))))
	70.3%	(/.f64 #s(approx (/ (cos (* x 2)) (* (pow (* x s) 2) c)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x s) x)) (*.f64 s c))) c)
	53.5%	(/.f64 #s(approx (/ (cos (* x 2)) (* (* c x) s)) (/.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 (*.f64 c x) s))
	75.1%	(/.f64 #s(approx (/ (cos (* x 2)) (* (* c x) s)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x s) c))) (.f64 (.f64 c x) s))
	59.0%	(/.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))))
	70.3%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (/.f64 (.f64 (.f64 (*.f64 (neg.f64 s) c) x) s) (/.f64 (/.f64 #s(literal -1 binary64) x) c))))
	68.8%	(/.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)))
	66.0%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 (*.f64 (neg.f64 s) c) s) x) x) (neg.f64 c))))
	58.7%	(/.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)))
	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 (.f64 (neg.f64 s) c) x) c) (*.f64 (neg.f64 s) x))))
▶	74.9%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 s x) (sqrt.f64 c)) (sqrt.f64 c)) (.f64 (.f64 c x) s))))
	65.2%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 s c) s) x) (*.f64 c x))))
	75.1%	(/.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 x) (sqrt.f64 s)) (sqrt.f64 s)) (.f64 (.f64 c x) s))))
	74.5%	(/.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) x) (.f64 (*.f64 (neg.f64 s) c) x))))
	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 (.f64 c x)) c) (*.f64 s x))))
	56.3%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s s) x) (.f64 (*.f64 c c) x))))
	61.5%	(/.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) c) (.f64 s (*.f64 x x)))))
✓	75.1%	(/.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))))
▶	68.4%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c c) (.f64 s x)) (*.f64 s x))))
	59.3%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (neg.f64 s) s) (.f64 c (.f64 (*.f64 (neg.f64 x) c) x)))))
	72.2%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 s c) (/.f64 (.f64 (.f64 (neg.f64 s) c) x) (/.f64 #s(literal -1 binary64) x)))))
	65.3%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 s (.f64 (neg.f64 c) (.f64 s (.f64 (*.f64 (neg.f64 x) c) x))))))
	96.7%	(.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 c x) s)) (pow.f64 (.f64 (.f64 c x) s) #s(literal -1 binary64)))
	75.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64)))
	60.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 (.f64 (*.f64 s c) c) s)))
	76.6%	#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))
	62.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 s c)) (.f64 s c)))
	61.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) s) (.f64 (.f64 s c) c)))
	58.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) c)) (/.f64 (.f64 (.f64 (neg.f64 s) s) (.f64 (neg.f64 s) c)) s)))
	58.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) c)) (.f64 (*.f64 s s) c)))
	72.7%	#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 (neg.f64 s) c) x) c)))
	71.0%	#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 (neg.f64 s) x) c) s)))
	58.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) c)) (.f64 (.f64 s c) s)))
	59.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 (.f64 (neg.f64 s) c) s) (neg.f64 c))))
	65.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 s c) s) x)) (.f64 (neg.f64 x) c)))
	42.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c)) (*.f64 x x)))
	57.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x)) x) (.f64 (.f64 (*.f64 (neg.f64 s) c) s) (neg.f64 c))))
	74.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) c) s) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) c) s)))
▶	76.6%	#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)) (/.f64 #s(literal -1 binary64) c)))

Compiler

Compiled 1 719 to 1 292 computations (24.8% saved)

simplify146.0ms (1.5%)

Memory

-29.4MiB live, 227.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (*.f64 s x) #s(literal 2 binary64))
cost-diff	0	(.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c)
cost-diff	0	(/.f64 #s(literal -1 binary64) (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c))
cost-diff	0	#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)) (/.f64 #s(literal -1 binary64) c)))
cost-diff	0	#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 s x) (sqrt.f64 c)) (sqrt.f64 c)) (.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 (.f64 s x) (sqrt.f64 c)) (sqrt.f64 c)) (.f64 (.f64 c x) s))))
cost-diff	1600	(.f64 (.f64 (*.f64 s x) (sqrt.f64 c)) (sqrt.f64 c))
cost-diff	0	(.f64 x (.f64 c c))
cost-diff	0	(*.f64 s s)
cost-diff	0	(.f64 x (.f64 s s))
cost-diff	0	#s(approx (cos (* x 2)) #s(literal 1 binary64))
cost-diff	0	(.f64 (.f64 c c) (*.f64 s x))
cost-diff	0	#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c c) (.f64 s x)) (*.f64 s x)))
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 c) (.f64 s x)) (*.f64 s x))))
cost-diff	0	(*.f64 c x)
cost-diff	0	(.f64 (.f64 c x) s)
cost-diff	0	(cos.f64 (+.f64 x x))
cost-diff	0	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c x) s))

Rules

4 394×	`lower-*.f32`
4 366×	`lower-*.f64`
4 174×	`lower-/.f32`
4 160×	`lower-/.f64`
3 946×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	376
0	73	348
1	147	330
2	332	330
3	1041	330
4	2140	330
5	4049	330
6	5253	330
7	7368	330
0	8027	330

Stop Event

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

Calls

Call 1

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

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

localize113.0ms (1.2%)

Memory

22.5MiB live, 219.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.2191008018931805	(/.f64 #s(literal -1 binary64) (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c))
accuracy	3.545214271915901	(.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c)
accuracy	3.876760137814327	(.f64 (/.f64 #s(literal -1 binary64) (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c)) (/.f64 #s(literal -1 binary64) c))
accuracy	13.87703942876909	#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)) (/.f64 #s(literal -1 binary64) c)))
accuracy	2.333879836954936	(.f64 (.f64 (*.f64 s x) (sqrt.f64 c)) (sqrt.f64 c))
accuracy	4.355600658839481	(.f64 (.f64 s x) (sqrt.f64 c))
accuracy	4.94062812685475	(.f64 (.f64 c x) s)
accuracy	28.978793046107125	#s(approx (cos (* 2 x)) #s(literal 1 binary64))
accuracy	10.200918965808325	(/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (.f64 x (.f64 s s))) (.f64 x (.f64 c c)))
accuracy	10.76163907421391	(.f64 x (.f64 s s))
accuracy	10.996208847320993	(.f64 x (.f64 c c))
accuracy	28.978793046107125	#s(approx (cos (* x 2)) #s(literal 1 binary64))
accuracy	0.19581162567698904	(/.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) (.f64 s x)) (*.f64 s x))))
accuracy	5.640170920581797	(.f64 (.f64 (.f64 c c) (.f64 s x)) (*.f64 s x))
accuracy	13.365080683298997	(.f64 (.f64 c c) (*.f64 s x))
accuracy	28.978793046107125	#s(approx (cos (* 2 x)) #s(literal 1 binary64))
accuracy	0	(cos.f64 (+.f64 x x))
accuracy	0.11328125	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c x) s)) (.f64 (.f64 c x) s))
accuracy	0.5526939802224712	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c x) s))
accuracy	4.94062812685475	(.f64 (.f64 c x) s)

Samples

85.0ms

256×

valid

Compiler

Compiled 294 to 42 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-mult: 28.0ms (43.3% of total)

ival-cos: 14.0ms (21.6% of total)

ival-div: 10.0ms (15.5% of total)

ival-pow2: 7.0ms (10.8% of total)

ival-sqrt: 3.0ms (4.6% of total)

ival-add: 1.0ms (1.5% of total)

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

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

exact: 0.0ms (0% of total)

series76.0ms (0.8%)

Memory

3.5MiB live, 121.2MiB allocated

Counts

24 → 720

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	x	@	-inf	((/ (cos (+ x x)) (* (* c x) s)) (cos (+ x x)) (* (* 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 c) (* s x)) (cos (* x 2)) (* x (* s s)) (* s s) (* x (* c c)) (* (* (* s x) (sqrt c)) (sqrt c)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ -1 (* (pow (* s x) 2) c)) (* (pow (* s x) 2) c) (pow (* s x) 2) (/ (/ (cos (+ x x)) (* (* c x) s)) (* (* c x) s)) (* (* (* c c) (* s x)) (* s x)) (/ (/ (cos (* x 2)) (* x (* s s))) (* x (* c c))) (* (* s x) (sqrt c)) (* (/ -1 (* (pow (* s x) 2) c)) (/ -1 c)))
7.0ms	s	@	-inf	((/ (cos (+ x x)) (* (* c x) s)) (cos (+ x x)) (* (* 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 c) (* s x)) (cos (* x 2)) (* x (* s s)) (* s s) (* x (* c c)) (* (* (* s x) (sqrt c)) (sqrt c)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ -1 (* (pow (* s x) 2) c)) (* (pow (* s x) 2) c) (pow (* s x) 2) (/ (/ (cos (+ x x)) (* (* c x) s)) (* (* c x) s)) (* (* (* c c) (* s x)) (* s x)) (/ (/ (cos (* x 2)) (* x (* s s))) (* x (* c c))) (* (* s x) (sqrt c)) (* (/ -1 (* (pow (* s x) 2) c)) (/ -1 c)))
7.0ms	x	@	inf	((/ (cos (+ x x)) (* (* c x) s)) (cos (+ x x)) (* (* 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 c) (* s x)) (cos (* x 2)) (* x (* s s)) (* s s) (* x (* c c)) (* (* (* s x) (sqrt c)) (sqrt c)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ -1 (* (pow (* s x) 2) c)) (* (pow (* s x) 2) c) (pow (* s x) 2) (/ (/ (cos (+ x x)) (* (* c x) s)) (* (* c x) s)) (* (* (* c c) (* s x)) (* s x)) (/ (/ (cos (* x 2)) (* x (* s s))) (* x (* c c))) (* (* s x) (sqrt c)) (* (/ -1 (* (pow (* s x) 2) c)) (/ -1 c)))
6.0ms	c	@	-inf	((/ (cos (+ x x)) (* (* c x) s)) (cos (+ x x)) (* (* 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 c) (* s x)) (cos (* x 2)) (* x (* s s)) (* s s) (* x (* c c)) (* (* (* s x) (sqrt c)) (sqrt c)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ -1 (* (pow (* s x) 2) c)) (* (pow (* s x) 2) c) (pow (* s x) 2) (/ (/ (cos (+ x x)) (* (* c x) s)) (* (* c x) s)) (* (* (* c c) (* s x)) (* s x)) (/ (/ (cos (* x 2)) (* x (* s s))) (* x (* c c))) (* (* s x) (sqrt c)) (* (/ -1 (* (pow (* s x) 2) c)) (/ -1 c)))
5.0ms	s	@	inf	((/ (cos (+ x x)) (* (* c x) s)) (cos (+ x x)) (* (* 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 c) (* s x)) (cos (* x 2)) (* x (* s s)) (* s s) (* x (* c c)) (* (* (* s x) (sqrt c)) (sqrt c)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ -1 (* (pow (* s x) 2) c)) (* (pow (* s x) 2) c) (pow (* s x) 2) (/ (/ (cos (+ x x)) (* (* c x) s)) (* (* c x) s)) (* (* (* c c) (* s x)) (* s x)) (/ (/ (cos (* x 2)) (* x (* s s))) (* x (* c c))) (* (* s x) (sqrt c)) (* (/ -1 (* (pow (* s x) 2) c)) (/ -1 c)))

simplify171.0ms (1.8%)

Memory

-16.0MiB live, 210.6MiB allocated

Algorithm

1×	egg-herbie

Rules

11 406×	`lower-fma.f64`
11 406×	`lower-fma.f32`
6 158×	`lower-*.f64`
6 158×	`lower-*.f32`
3 098×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	7584
1	242	7584
2	789	7508
3	2934	7454
4	6123	7454
0	8191	7400

Stop Event

1×	iter limit
1×	node limit

Counts

720 → 720

Calls

Call 1

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

rewrite89.0ms (0.9%)

Memory

-6.1MiB live, 99.1MiB allocated

Rules

790×	`lower-*.f32`
776×	`lower-/.f32`
762×	`lower-*.f64`
762×	`lower-/.f64`
126×	`frac-2neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	292
0	73	266
1	245	224
0	1211	224

Stop Event

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

Counts

24 → 329

Calls

Call 1

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

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

eval124.0ms (1.3%)

Memory: 17.1MiB live, 244.3MiB allocated
Compiler: Compiled 20 431 to 1 145 computations (94.4% saved)

prune137.0ms (1.4%)

Memory

0.3MiB live, 283.9MiB allocated

Pruning

56 alts after pruning (52 fresh and 4 done)

	Pruned	Kept	Total
New	1 192	18	1 210
Fresh	14	34	48
Picked	2	3	5
Done	0	1	1
Total	1 208	56	1 264

Accuracy

100.0%

Counts

1 264 → 56

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.8%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c x) s)) (.f64 (.f64 c x) s))
	65.3%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 s s))) (.f64 x (.f64 c c)))
	81.8%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c x)) (.f64 (.f64 (*.f64 s c) s) x))
	56.8%	(/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 c x) s)) (.f64 (*.f64 c x) s))
	75.3%	(/.f64 (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (.f64 (.f64 c x) s)) (.f64 (.f64 c x) s))
	65.0%	(/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (.f64 (.f64 s x) s)) (.f64 x (.f64 c c)))
	91.6%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s c) x) (.f64 (*.f64 c x) s))))
	96.6%	(/.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))))
	72.6%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 x x) c) s) (.f64 s c)))
	76.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 s s) x) c) (.f64 c x)))
	77.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 c x) (.f64 c x)) (.f64 s s)))
	78.8%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 (*.f64 (neg.f64 s) c) s) x) x) (neg.f64 c))))
	68.6%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 (*.f64 x x) c) c) s) s)))
	82.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 s c) s) x) (*.f64 c x))))
	89.6%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s (.f64 c x)) c) (*.f64 s x))))
	53.5%	(/.f64 #s(approx (/ (cos (+ x x)) (* (* c x) s)) (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 s c))) x)) (.f64 (*.f64 c x) s))
	75.1%	(/.f64 #s(approx (/ (cos (+ x x)) (* (* c x) s)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x s) c))) (.f64 (.f64 c x) s))
	70.3%	(/.f64 #s(approx (/ (cos (* x 2)) (* (pow (* x s) 2) c)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x s) x)) (*.f64 s c))) c)
	57.3%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c c) (.f64 s x)) (*.f64 s x))))
	59.0%	(/.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))))
	68.8%	(/.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)))
	66.0%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 (*.f64 (neg.f64 s) c) s) x) x) (neg.f64 c))))
	58.7%	(/.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)))
	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 (sqrt.f64 c) s) x) (sqrt.f64 c)) (.f64 (.f64 c x) s))))
	76.5%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 s x) (sqrt.f64 c)) (sqrt.f64 c)) (.f64 (.f64 (*.f64 (sqrt.f64 c) s) x) (sqrt.f64 c)))))
✓	74.9%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 s x) (sqrt.f64 c)) (sqrt.f64 c)) (.f64 (.f64 c x) s))))
	65.2%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 s c) s) x) (*.f64 c x))))
	75.1%	(/.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 x) (sqrt.f64 s)) (sqrt.f64 s)) (.f64 (.f64 c x) s))))
	63.2%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c c) s) x) (*.f64 s x))))
	74.5%	(/.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) x) (.f64 (*.f64 (neg.f64 s) c) x))))
	56.3%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s s) x) (.f64 (*.f64 c c) x))))
	61.5%	(/.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) c) (.f64 s (*.f64 x x)))))
	61.1%	(/.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))))
✓	75.1%	(/.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))))
✓	68.4%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c c) (.f64 s x)) (*.f64 s x))))
	62.3%	(/.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 c (.f64 (*.f64 s s) x)))))
	75.6%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 #s(approx ( (* c c) (* s x)) (.f64 (.f64 (.f64 x s) c) c)) (.f64 s x))))
	70.7%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 s (.f64 (.f64 (sqrt.f64 c) x) (.f64 (.f64 (sqrt.f64 c) c) (.f64 s x))))))
	72.4%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 s (.f64 x (.f64 (.f64 s (*.f64 c x)) c)))))
	96.7%	(.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (neg.f64 s) (.f64 c x))) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 s) (.f64 c x))))
	60.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 (.f64 (*.f64 s c) c) s)))
	62.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 s c)) (.f64 s c)))
	61.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) s) (.f64 (.f64 s c) c)))
	58.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) c)) (/.f64 (.f64 (.f64 (neg.f64 s) s) (.f64 (neg.f64 s) c)) s)))
	58.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) c)) (.f64 (*.f64 s s) c)))
	72.7%	#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 (neg.f64 s) c) x) c)))
	71.0%	#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 (neg.f64 s) x) c) s)))
	58.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) c)) (.f64 (.f64 s c) s)))
	59.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 (.f64 (neg.f64 s) c) s) (neg.f64 c))))
	65.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 s c) s) x)) (.f64 (neg.f64 x) c)))
	42.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c)) (*.f64 x x)))
	57.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x)) x) (.f64 (.f64 (*.f64 (neg.f64 s) c) s) (neg.f64 c))))
	74.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) c) s) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) c) s)))
	76.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 s x) (*.f64 s x)) c)) (/.f64 #s(literal -1 binary64) c)))
	61.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s (.f64 s (*.f64 x x))) c)) (/.f64 #s(literal -1 binary64) c)))
	75.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s (.f64 c x)) (*.f64 s x))) (/.f64 #s(literal -1 binary64) c)))

Compiler

Compiled 2 796 to 1 125 computations (59.8% saved)

regimes203.0ms (2.1%)

Memory

-0.9MiB live, 286.0MiB allocated

Counts

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

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

Calls

6 calls:

45.0ms	x
32.0ms	s
31.0ms	(pow.f64 s #s(literal 2 binary64))
31.0ms	c
31.0ms	(pow.f64 c #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
99.3%	2	`x`
96.8%	1	`c`
96.8%	1	`s`
98.7%	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)))`
96.8%	1	`(pow.f64 c #s(literal 2 binary64))`
96.8%	1	`(pow.f64 s #s(literal 2 binary64))`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes47.0ms (0.5%)

Memory

-27.5MiB live, 49.7MiB allocated

Counts

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

Outputs

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

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

Calls

1 calls:

33.0ms

Results

Accuracy	Segments	Branch
99.3%	2	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes37.0ms (0.4%)

Memory

-6.6MiB live, 37.8MiB allocated

Counts

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

Outputs

#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 (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

1 calls:

24.0ms

Results

Accuracy	Segments	Branch
99.2%	2	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes157.0ms (1.6%)

Memory

12.9MiB live, 127.9MiB allocated

Counts

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

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))))

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

Calls

6 calls:

35.0ms	(pow.f64 c #s(literal 2 binary64))
32.0ms	c
29.0ms	(/.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)))
19.0ms	x
19.0ms	s

Results

Accuracy	Segments	Branch
76.6%	1	`c`
76.6%	1	`s`
76.6%	1	`(pow.f64 c #s(literal 2 binary64))`
76.6%	1	`(pow.f64 s #s(literal 2 binary64))`
81.0%	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)))`
76.6%	1	`x`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes18.0ms (0.2%)

Memory

27.7MiB live, 27.7MiB allocated

Counts

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

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

Calls

1 calls:

15.0ms

(/.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
81.0%	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)))`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes22.0ms (0.2%)

Memory

-12.4MiB live, 32.1MiB allocated

Counts

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

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 (*.f64 s x) (*.f64 s x)) c)) (/.f64 #s(literal -1 binary64) c)))

Calls

1 calls:

19.0ms

(/.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
81.0%	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)))`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes91.0ms (0.9%)

Memory

6.9MiB live, 45.7MiB allocated

Counts

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

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

Calls

6 calls:

48.0ms	(pow.f64 s #s(literal 2 binary64))
9.0ms	s
9.0ms	c
9.0ms	x
8.0ms	(pow.f64 c #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
76.6%	1	`s`
76.6%	1	`c`
76.6%	1	`(pow.f64 c #s(literal 2 binary64))`
76.6%	1	`(pow.f64 s #s(literal 2 binary64))`
76.6%	1	`x`
76.6%	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 25 to 31 computations (-24% saved)

regimes98.0ms (1%)

Memory

-22.0MiB live, 55.1MiB allocated

Counts

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

Outputs

(/.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) x) (*.f64 (*.f64 (neg.f64 s) c) x))))

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

Calls

6 calls:

33.0ms	x
32.0ms	s
8.0ms	c
8.0ms	(pow.f64 s #s(literal 2 binary64))
7.0ms	(/.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	`s`
77.9%	2	`c`
77.9%	2	`(pow.f64 c #s(literal 2 binary64))`
75.6%	1	`(pow.f64 s #s(literal 2 binary64))`
75.6%	1	`x`
77.5%	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)))`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes11.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated

Counts

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

Outputs

(/.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) x) (*.f64 (*.f64 (neg.f64 s) 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))))

Calls

2 calls:

6.0ms	c
5.0ms	(pow.f64 c #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
77.8%	2	`(pow.f64 c #s(literal 2 binary64))`
77.8%	2	`c`

Compiler

Compiled 4 to 8 computations (-100% saved)

regimes13.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated

Counts

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 20 to 20 computations (0% saved)

regimes18.0ms (0.2%)

Memory

-27.1MiB live, 18.9MiB 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 s (.f64 x (.f64 (.f64 s (*.f64 c x)) c)))))

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

Calls

6 calls:

11.0ms	c
1.0ms	x
1.0ms	s
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)))
1.0ms	(pow.f64 s #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
72.4%	1	`x`
72.4%	1	`c`
72.4%	1	`s`
72.4%	1	`(pow.f64 c #s(literal 2 binary64))`
72.4%	1	`(pow.f64 s #s(literal 2 binary64))`
72.4%	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 25 to 31 computations (-24% saved)

bsearch13.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	7.227277122842416e-81	7.16243992295425e-80

Samples

7.0ms

96×

valid

Compiler

Compiled 199 to 150 computations (24.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 2.0ms (40.3% of total)

ival-pow2: 2.0ms (40.3% of total)

ival-div: 1.0ms (20.2% of total)

ival-cos: 1.0ms (20.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.227277122842416e-81	7.16243992295425e-80

Compiler

Compiled 187 to 150 computations (19.8% saved)

bsearch19.0ms (0.2%)

Memory

17.9MiB live, 17.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.477564526028779e-100	7.95640708415552e-95

Samples

11.0ms

144×

valid

Compiler

Compiled 262 to 207 computations (21% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 3.0ms (39.9% of total)

ival-pow2: 2.0ms (26.6% of total)

ival-div: 1.0ms (13.3% of total)

ival-cos: 1.0ms (13.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.515547574415105e-179	-8.62840672691075e-266

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.515547574415105e-179	-8.62840672691075e-266

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.515547574415105e-179	-8.62840672691075e-266

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch5.0ms (0.1%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
4.0ms	1.3533016037629943e-77	2.061586639107019e-71

Samples

3.0ms

32×

valid

Compiler

Compiled 81 to 66 computations (18.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-cos: 1.0ms (44% of total)

ival-mult: 1.0ms (44% of total)

ival-pow2: 1.0ms (44% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch39.0ms (0.4%)

Memory

-20.3MiB live, 18.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
37.0ms	4.049305499180515e-53	5.18527635968256e-47

Samples

31.0ms

144×

valid

Compiler

Compiled 307 to 225 computations (26.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-pow2: 21.0ms (75.7% of total)

ival-cos: 3.0ms (10.8% of total)

ival-mult: 3.0ms (10.8% of total)

ival-div: 1.0ms (3.6% of total)

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

exact: 0.0ms (0% of total)

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

simplify115.0ms (1.2%)

Memory

-3.5MiB live, 34.7MiB allocated

Algorithm

1×	egg-herbie

Rules

594×	`distribute-lft-neg-in-binary64-*.f64-neg.f64`
348×	`neg-mul-1-binary64-*.f64-neg.f64`
344×	`neg-sub0-binary64--.f64-neg.f64`
266×	`unsub-neg-binary64--.f64-neg.f64-+.f64`
248×	`sub-neg-binary64-neg.f64-+.f64--.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	107	590
1	133	590
2	145	590
3	167	590
4	183	586
5	209	586
6	258	586
7	335	586
8	506	586
9	761	586
10	1021	586
11	1284	586
12	1493	586
13	1593	586
14	1627	586
15	1642	586
16	1654	586
17	1669	586
18	1684	586
19	1707	586
20	1731	586
21	1757	586
22	1782	586
23	1817	586
24	1850	586
25	1880	586
26	1895	586
27	1898	586

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 7903152032907367/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288 binary64)) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (.f64 x s) #s(literal 2 binary64))) c) c) (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c x) s)) (.f64 (.f64 c x) s)))
(if (<=.f64 x #s(literal 7903152032907367/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288 binary64)) (/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) c)) c) (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c x) s)) (.f64 (.f64 c x) s)))
(if (<=.f64 x #s(literal 492525077454931/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272 binary64)) #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 (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 -2919961995278205/145998099763910246996517491382409322396583312231953917778534160572776805350677676368189209962155884792916553906355021033942038551084014015944085162231110854024063829579528478402651974151891320832 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)))) (/.f64 (/.f64 #s(approx (cos ( x 2)) #s(literal 1 binary64)) (.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) c)) c))
(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 -2919961995278205/145998099763910246996517491382409322396583312231953917778534160572776805350677676368189209962155884792916553906355021033942038551084014015944085162231110854024063829579528478402651974151891320832 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 (pow.f64 (*.f64 s x) #s(literal -2 binary64)) c) c)))
(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 -2919961995278205/145998099763910246996517491382409322396583312231953917778534160572776805350677676368189209962155884792916553906355021033942038551084014015944085162231110854024063829579528478402651974151891320832 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 (.f64 s x) (*.f64 s x)) c)) (/.f64 #s(literal -1 binary64) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 s x) (*.f64 s x)) c)) (/.f64 #s(literal -1 binary64) c)))
(if (<=.f64 c #s(literal 5092589940836215/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) (/.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) x) (.f64 (.f64 (neg.f64 s) c) x)))) (/.f64 #s(approx (/ (cos ( x 2)) (* (* c x) s)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x s) c))) (.f64 (.f64 c x) s)))
(if (<=.f64 c #s(literal 163907680514417/3213876088517980551083924184682325205044405987565585670602752 binary64)) (/.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) x) (.f64 (.f64 (neg.f64 s) 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)))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 #s(approx ( (* c c) (* s x)) (.f64 (.f64 (.f64 x s) c) c)) (.f64 s x))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 s (.f64 x (.f64 (.f64 s (*.f64 c x)) c)))))

Outputs
(if (<=.f64 x #s(literal 7903152032907367/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288 binary64)) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (.f64 x s) #s(literal 2 binary64))) c) c) (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c x) s)) (.f64 (.f64 c x) s)))
(if (<=.f64 x #s(literal 7903152032907367/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288 binary64)) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 s x) #s(literal 2 binary64))) c) c) (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c x) s)) (.f64 (.f64 c x) s)))
(if (<=.f64 x #s(literal 7903152032907367/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288 binary64)) (/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) c)) c) (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c x) s)) (.f64 (.f64 c x) s)))
(if (<=.f64 x #s(literal 7903152032907367/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288 binary64)) (/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (.f64 c (pow.f64 (.f64 s x) #s(literal 2 binary64)))) c) (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c x) s)) (.f64 (.f64 c x) s)))
(if (<=.f64 x #s(literal 492525077454931/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272 binary64)) #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 (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 -2919961995278205/145998099763910246996517491382409322396583312231953917778534160572776805350677676368189209962155884792916553906355021033942038551084014015944085162231110854024063829579528478402651974151891320832 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)))) (/.f64 (/.f64 #s(approx (cos ( x 2)) #s(literal 1 binary64)) (.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) c)) 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 -2919961995278205/145998099763910246996517491382409322396583312231953917778534160572776805350677676368189209962155884792916553906355021033942038551084014015944085162231110854024063829579528478402651974151891320832 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)))) (/.f64 (/.f64 #s(approx (cos ( x 2)) #s(literal 1 binary64)) (.f64 c (pow.f64 (.f64 s x) #s(literal 2 binary64)))) c))
(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 -2919961995278205/145998099763910246996517491382409322396583312231953917778534160572776805350677676368189209962155884792916553906355021033942038551084014015944085162231110854024063829579528478402651974151891320832 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 (pow.f64 (*.f64 s x) #s(literal -2 binary64)) c) 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 -2919961995278205/145998099763910246996517491382409322396583312231953917778534160572776805350677676368189209962155884792916553906355021033942038551084014015944085162231110854024063829579528478402651974151891320832 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 (pow.f64 (*.f64 s x) #s(literal -2 binary64)) c) c)))
(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 -2919961995278205/145998099763910246996517491382409322396583312231953917778534160572776805350677676368189209962155884792916553906355021033942038551084014015944085162231110854024063829579528478402651974151891320832 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 (.f64 s x) (*.f64 s x)) c)) (/.f64 #s(literal -1 binary64) 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 -2919961995278205/145998099763910246996517491382409322396583312231953917778534160572776805350677676368189209962155884792916553906355021033942038551084014015944085162231110854024063829579528478402651974151891320832 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) c) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 s x) (*.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 (.f64 s x) (*.f64 s x)) c)) (/.f64 #s(literal -1 binary64) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 s x) (*.f64 s x)) c))))
(if (<=.f64 c #s(literal 5092589940836215/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) (/.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) x) (.f64 (.f64 (neg.f64 s) c) x)))) (/.f64 #s(approx (/ (cos ( x 2)) (* (* c x) s)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x s) c))) (.f64 (.f64 c x) s)))
(if (<=.f64 c #s(literal 5092589940836215/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 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 s) x) (.f64 (.f64 c s) x)))) (/.f64 #s(approx (/ (cos ( x 2)) (* (* c x) s)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 s x) c))) (.f64 (.f64 c x) s)))
(if (<=.f64 c #s(literal 163907680514417/3213876088517980551083924184682325205044405987565585670602752 binary64)) (/.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) x) (.f64 (.f64 (neg.f64 s) 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)))))
(if (<=.f64 c #s(literal 163907680514417/3213876088517980551083924184682325205044405987565585670602752 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 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 #s(approx ( (* c c) (* s x)) (.f64 (.f64 (.f64 x s) c) c)) (.f64 s x))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 #s(approx ( (* c c) (* s x)) (.f64 (.f64 (.f64 s x) c) c)) (.f64 s x))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 s (.f64 x (.f64 (.f64 s (*.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 (.f64 (*.f64 c x) s) c) x) s)))

soundness1.9s (20.2%)

Memory

10.4MiB live, 931.0MiB allocated

Rules

26 452×	`lower-fma.f64`
26 452×	`lower-fma.f32`
19 320×	`lower-fma.f64`
19 320×	`lower-fma.f32`
17 142×	`lower-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	304
0	75	278
1	233	273
2	1243	219
0	8361	219
0	43	241
0	71	225
1	244	199
2	1259	191
3	7868	191
0	8866	191
0	12	52
0	20	52
1	55	52
2	217	48
3	1946	42
0	8396	42
0	95	7584
1	242	7584
2	789	7508
3	2934	7454
4	6123	7454
0	8191	7400
0	50	1512
1	117	1512
2	383	1498
3	1949	1488
4	4763	1480
5	6909	1480
0	8006	1468
0	47	292
0	73	266
1	245	224
0	1211	224
0	80	7512
1	193	7512
2	631	7436
3	2522	7382
4	4484	7382
0	8132	7328
0	102	7308
1	248	7308
2	781	7222
3	3163	7162
4	5265	7162
0	8110	7108

Stop Event

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

Compiler

Compiled 1 089 to 576 computations (47.1% saved)

preprocess301.0ms (3.1%)

Memory: 24.7MiB live, 379.9MiB allocated
Compiler: Compiled 1 852 to 836 computations (54.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	43	301
0	71	299
1	135	287
2	268	283
3	552	283
4	809	283
5	826	283
6	826	283
7	924	283
8	924	283
0	924	283

Iter	Nodes	Cost
0	43	301
0	71	299
1	135	287
2	268	283
3	552	283
4	809	283
5	826	283
6	826	283
7	924	283
8	924	283
0	924	283

start0.0ms (0%)

analyze142.0ms (1.5%)

sample1.6s (16.6%)

explain171.0ms (1.8%)

preprocess89.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify15.0ms (0.2%)

localize43.0ms (0.4%)

series28.0ms (0.3%)

simplify187.0ms (2%)

rewrite275.0ms (2.9%)

eval118.0ms (1.2%)

prune35.0ms (0.4%)

simplify24.0ms (0.3%)

localize128.0ms (1.3%)

series95.0ms (1%)

simplify280.0ms (2.9%)

rewrite387.0ms (4%)

eval356.0ms (3.7%)

prune239.0ms (2.5%)

simplify104.0ms (1.1%)

localize115.0ms (1.2%)

series59.0ms (0.6%)

simplify334.0ms (3.5%)

rewrite225.0ms (2.3%)

eval385.0ms (4%)

prune153.0ms (1.6%)

simplify146.0ms (1.5%)

localize113.0ms (1.2%)

series76.0ms (0.8%)

simplify171.0ms (1.8%)

rewrite89.0ms (0.9%)

eval124.0ms (1.3%)

prune137.0ms (1.4%)

regimes203.0ms (2.1%)

regimes47.0ms (0.5%)

regimes37.0ms (0.4%)

regimes157.0ms (1.6%)

regimes18.0ms (0.2%)

regimes22.0ms (0.2%)

regimes91.0ms (0.9%)

regimes98.0ms (1%)

regimes11.0ms (0.1%)

regimes13.0ms (0.1%)

regimes18.0ms (0.2%)

bsearch13.0ms (0.1%)

bsearch1.0ms (0%)

bsearch19.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch5.0ms (0.1%)

bsearch39.0ms (0.4%)

simplify115.0ms (1.2%)

soundness1.9s (20.2%)

preprocess301.0ms (3.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	43	301
0	71	299
1	135	287
2	268	283
3	552	283
4	809	283
5	826	283
6	826	283
7	924	283
8	924	283
0	924	283