Metrics for mixedcos

analyze126.0ms (1.2%)

Memory

20.8MiB live, 177.8MiB 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)

sample1.3s (12.7%)

Memory

-0.4MiB live, 1 747.0MiB allocated

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 692.0ms

ival-mult: 258.0ms (37.3% of total)

ival-cos: 219.0ms (31.7% of total)

ival-pow2: 155.0ms (22.4% of total)

ival-div: 46.0ms (6.7% of total)

ival-true: 6.0ms (0.9% of total)

exact: 5.0ms (0.7% of total)

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

Bogosity

preprocess59.0ms (0.6%)

Memory

7.2MiB live, 84.6MiB 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 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 s (*.f64 c (*.f64 x (*.f64 c s))))))

Symmetry

(abs s)

(abs c)

(abs x)

(sort c s)

explain200.0ms (1.9%)

Memory

1.3MiB live, 353.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
60	0	-	2	(2.399444073986433 1.7474926553135662e-161 4.341166717021739)	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`
39	0	-	1	(128724196.08514066 9.730219378684583e-303 1.9679530921730175e-157)	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`
14	0	-	0	-	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`
1	0	-	0	-	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
0	0	-	0	-	`(pow.f64 c #s(literal 2 binary64))`
0	0	-	0	-	`(*.f64 #s(literal 2 binary64) x)`
0	131	(4.1690166804535994e+74 4.137068599281024e-275 4.31092597460835e-248)	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	131	1
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*uo**	34	0
↳	`(pow.f64 c #s(literal 2 binary64))`	underflow	104
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	overflow	120
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	overflow	119
↳	`(pow.f64 s #s(literal 2 binary64))`	overflow	128
`*.f64`	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	*no**	29	0
`*.f64`	`(.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))`	*no**	12	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*nu**	12	0
`*.f64`	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	*nu**	9	0
`/.f64`	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`	n/o	1	0
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	overflow	120
↳	`(pow.f64 c #s(literal 2 binary64))`	overflow	25
↳	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	overflow	90
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	overflow	119
↳	`(pow.f64 s #s(literal 2 binary64))`	overflow	128

Confusion

	Predicted +	Predicted -
+	94	0
-	89	73

Precision

0.5136612021857924

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	94	0	0
-	89	1	72

Precision?

0.5108695652173914

Recall?

1.0

Freqs

test

number	freq
0	73
1	127
2	53
3	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

100.0ms

512×

valid

Compiler

Compiled 154 to 52 computations (66.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-pow2: 29.0ms (52.4% of total)

ival-mult: 12.0ms (21.7% of total)

ival-cos: 11.0ms (19.9% of total)

ival-div: 3.0ms (5.4% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))

Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify18.0ms (0.2%)

Memory

3.6MiB live, 42.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

localize48.0ms (0.5%)

Memory

-2.3MiB live, 93.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(/.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	94.7%	(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)
✓	accuracy	85.9%	(*.f64 x (pow.f64 s #s(literal 2 binary64)))
✓	accuracy	79.3%	(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))

Samples

34.0ms

256×

valid

Compiler

Compiled 58 to 14 computations (75.9% saved)

Precisions

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

ival-cos: 12.0ms (48% of total)

ival-mult: 6.0ms (24% of total)

ival-pow2: 5.0ms (20% of total)

ival-div: 3.0ms (12% of total)

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

exact: 0.0ms (0% of total)

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

series443.0ms (4.2%)

Memory

0.0MiB live, 36.0MiB allocated

Counts

7 → 156

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 (/.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.f64 (.f64 #s(literal 2 binary64) x)) (patch (cos.f64 (.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>) () ())

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

Calls

39 calls:

Time	Variable		Point	Expression
423.0ms	c	@	-inf	(* (pow c 2) (* (* x (pow s 2)) x))
3.0ms	c	@	0	(/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)))
2.0ms	x	@	0	(* x (pow s 2))
2.0ms	x	@	inf	(/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)))
1.0ms	s	@	0	(/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)))

simplify369.0ms (3.5%)

Memory

31.9MiB live, 538.7MiB allocated

Algorithm

1×	egg-herbie

Rules

15 610×	`lower-fma.f64`
15 610×	`lower-fma.f32`
5 362×	`lower-*.f64`
5 362×	`lower-*.f32`
2 446×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	1476
1	117	1476
2	383	1462
3	1957	1452
4	4755	1444
5	6901	1444
0	8120	1432

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 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)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (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
(+ 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)))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (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))
(* (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))
(* (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))
(* (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))
(* (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))

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

rewrite358.0ms (3.4%)

Memory

-14.3MiB live, 574.5MiB allocated

Algorithm

1×	batch-egg-rewrite

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	49
0	20	49
1	55	49
2	217	45
3	1946	39
0	8396	39

Stop Event

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

Counts

7 → 677

Calls

Call 1

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

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

eval119.0ms (1.1%)

Memory: -22.0MiB live, 234.1MiB allocated
Compiler: Compiled 27 919 to 2 413 computations (91.4% saved)

prune154.0ms (1.5%)

Memory

26.5MiB live, 300.3MiB allocated

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	813	20	833
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	814	20	834

Accuracy

99.7%

Counts

834 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.6%	(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c c) x)) (*.f64 s x)) s)
	73.3%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c c) x)) (.f64 s (.f64 s x)))
▶	90.6%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 (.f64 c (.f64 s x)) s))) x)
	90.7%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (.f64 c (.f64 (.f64 c (.f64 s x)) s)))
▶	65.9%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c c) (.f64 s (.f64 s (*.f64 x x)))))
▶	95.8%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 c s) x) #s(literal 2 binary64)))
	76.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c c) x) (.f64 s x)) s))
	77.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c c) x) s) (.f64 s x)))
▶	67.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s s) (.f64 (.f64 x x) c)) c))
	90.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 (.f64 c (.f64 s x)) s)))
	90.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c (.f64 (.f64 c (.f64 s x)) s)) x))
	81.4%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s)))))))
	90.4%	(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 (.f64 c (.f64 s x)) s)))))
	49.0%	(-.f64 (/.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 c c)) (.f64 s (.f64 s x))) x) (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (.f64 (.f64 c c) #s(literal 2 binary64))) (.f64 s (*.f64 s x))) x))
	90.5%	(.f64 (/.f64 (+.f64 (cos.f64 x) (sin.f64 x)) x) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (.f64 c (.f64 (.f64 c (*.f64 s x)) s))))
	90.9%	(.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (.f64 (.f64 (.f64 c (*.f64 s x)) s) (/.f64 x (cos.f64 (+.f64 x x)))) #s(literal -1 binary64)))
	35.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (.f64 x x) (.f64 (/.f64 x (.f64 s (.f64 c (.f64 c s)))) (.f64 x (fma.f64 (.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)))) (.f64 (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 s (.f64 c (.f64 c s)))))) (*.f64 x x)))
	45.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 s (.f64 c (.f64 c s))))) (.f64 x x)))
	40.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 s (.f64 c (.f64 c s)))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 x x)))
▶	71.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s)))))))

Compiler

Compiled 908 to 522 computations (42.5% saved)

simplify30.0ms (0.3%)

Memory

8.1MiB live, 47.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x x)
✓	cost-diff	0	(cos.f64 (+.f64 x x))
✓	cost-diff	0	(/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 (.f64 c (.f64 s x)) s)))
✓	cost-diff	384	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 (.f64 c (.f64 s x)) s))) x)
✓	cost-diff	0	(.f64 (.f64 (.f64 s s) (.f64 (*.f64 x x) c)) c)
✓	cost-diff	0	(cos.f64 (*.f64 #s(literal 2 binary64) x))
✓	cost-diff	0	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s s) (.f64 (.f64 x x) c)) c))
✓	cost-diff	128	(*.f64 #s(literal 2 binary64) x)
✓	cost-diff	0	(.f64 (.f64 c c) (.f64 s (.f64 s (*.f64 x x))))
✓	cost-diff	0	(+.f64 x x)
✓	cost-diff	0	(cos.f64 (+.f64 x x))
✓	cost-diff	0	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c c) (.f64 s (.f64 s (*.f64 x x)))))
✓	cost-diff	0	(.f64 x (.f64 s (.f64 c (.f64 c s))))
✓	cost-diff	0	(.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s)))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s))))))
✓	cost-diff	0	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s)))))))
✓	cost-diff	0	(cos.f64 (*.f64 #s(literal 2 binary64) x))
✓	cost-diff	0	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 c s) x) #s(literal 2 binary64)))
✓	cost-diff	128	(*.f64 #s(literal 2 binary64) x)
✓	cost-diff	5504	(pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64))

Rules

860×	`associate-/r*`
756×	`lower-/.f32`
748×	`lower-/.f64`
330×	`lower-*.f32`
290×	`lower-*.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	297
0	74	273
1	150	261
2	324	261
3	680	261
4	708	261
5	709	261
6	709	261
7	902	261
8	902	261
0	902	261

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize176.0ms (1.7%)

Memory

-24.8MiB live, 270.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.1%	(.f64 (.f64 c (*.f64 s x)) s)
✓	accuracy	94.2%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 (.f64 c (.f64 s x)) s))) x)
✓	accuracy	93.7%	(.f64 c (.f64 (.f64 c (.f64 s x)) s))
✓	accuracy	91.8%	(.f64 c (.f64 s x))
✓	accuracy	99.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s s) (.f64 (.f64 x x) c)) c))
✓	accuracy	94.8%	(.f64 (.f64 (.f64 s s) (.f64 (*.f64 x x) c)) c)
✓	accuracy	88.8%	(.f64 (.f64 x x) c)
✓	accuracy	74.6%	(.f64 (.f64 s s) (.f64 (.f64 x x) c))
✓	accuracy	99.7%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c c) (.f64 s (.f64 s (*.f64 x x)))))
✓	accuracy	94.8%	(.f64 s (.f64 s (*.f64 x x)))
✓	accuracy	87.5%	(.f64 s (.f64 x x))
✓	accuracy	79.3%	(.f64 (.f64 c c) (.f64 s (.f64 s (*.f64 x x))))
✓	accuracy	95.4%	(.f64 s (.f64 c (*.f64 c s)))
✓	accuracy	94.1%	(.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s)))))
✓	accuracy	91.5%	(.f64 x (.f64 s (.f64 c (.f64 c s))))
✓	accuracy	81.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s)))))))
✓	accuracy	100.0%	(cos.f64 (*.f64 #s(literal 2 binary64) x))
✓	accuracy	99.7%	(pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64))
✓	accuracy	99.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 c s) x) #s(literal 2 binary64)))
✓	accuracy	91.2%	(.f64 (.f64 c s) x)

Samples

85.0ms

256×

valid

Compiler

Compiled 285 to 43 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-mult: 35.0ms (55.7% of total)

ival-cos: 11.0ms (17.5% of total)

ival-div: 10.0ms (15.9% of total)

ival-pow2: 6.0ms (9.5% of total)

ival-add: 1.0ms (1.6% of total)

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

exact: 0.0ms (0% of total)

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

series71.0ms (0.7%)

Memory

3.7MiB live, 82.6MiB allocated

Counts

25 → 756

Calls

Call 1

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

Outputs
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 c) (#s(alt (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 c) (#s(alt (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 c) (#s(alt (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 c) (#s(alt (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor inf c) (#s(alt (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor inf c) (#s(alt (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor inf c) (#s(alt (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor inf c) (#s(alt (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 s) (#s(alt (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 s) (#s(alt (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 s) (#s(alt (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 s) (#s(alt (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor inf s) (#s(alt (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor inf s) (#s(alt (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor inf s) (#s(alt (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor inf s) (#s(alt (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf s) (#s(alt (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf s) (#s(alt (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf s) (#s(alt (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf s) (#s(alt (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor inf x) (#s(alt (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor inf x) (#s(alt (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor inf x) (#s(alt (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor inf x) (#s(alt (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf x) (#s(alt (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf x) (#s(alt (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf x) (#s(alt (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf x) (#s(alt (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<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 (* 2 x) (taylor inf x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
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#s(alt (* c (* s x)) (taylor 0 s) (#s(alt (.f64 c (.f64 s x)) (patch (.f64 c (.f64 s x)) #<representation binary64>) () ())) ())
#s(alt (* c (* s x)) (taylor inf s) (#s(alt (.f64 c (.f64 s x)) (patch (.f64 c (.f64 s x)) #<representation binary64>) () ())) ())
#s(alt (* c (* s x)) (taylor inf s) (#s(alt (.f64 c (.f64 s x)) (patch (.f64 c (.f64 s x)) #<representation binary64>) () ())) ())
#s(alt (* c (* s x)) (taylor inf s) (#s(alt (.f64 c (.f64 s x)) (patch (.f64 c (.f64 s x)) #<representation binary64>) () ())) ())
#s(alt (* c (* s x)) (taylor inf s) (#s(alt (.f64 c (.f64 s x)) (patch (.f64 c (.f64 s x)) #<representation binary64>) () ())) ())
#s(alt (* c (* s x)) (taylor -inf s) (#s(alt (.f64 c (.f64 s x)) (patch (.f64 c (.f64 s x)) #<representation binary64>) () ())) ())
#s(alt (* c (* s x)) (taylor -inf s) (#s(alt (.f64 c (.f64 s x)) (patch (.f64 c (.f64 s x)) #<representation binary64>) () ())) ())
#s(alt (* c (* s x)) (taylor -inf s) (#s(alt (.f64 c (.f64 s x)) (patch (.f64 c (.f64 s x)) #<representation binary64>) () ())) ())
#s(alt (* c (* s x)) (taylor -inf s) (#s(alt (.f64 c (.f64 s x)) (patch (.f64 c (.f64 s x)) #<representation binary64>) () ())) ())
#s(alt (* c (* s x)) (taylor 0 x) (#s(alt (.f64 c (.f64 s x)) (patch (.f64 c (.f64 s x)) #<representation binary64>) () ())) ())
#s(alt (* c (* s x)) (taylor 0 x) (#s(alt (.f64 c (.f64 s x)) (patch (.f64 c (.f64 s x)) #<representation binary64>) () ())) ())
#s(alt (* c (* s x)) (taylor 0 x) (#s(alt (.f64 c (.f64 s x)) (patch (.f64 c (.f64 s x)) #<representation binary64>) () ())) ())
#s(alt (* c (* s x)) (taylor 0 x) (#s(alt (.f64 c (.f64 s x)) (patch (.f64 c (.f64 s x)) #<representation binary64>) () ())) ())
#s(alt (* c (* s x)) (taylor inf x) (#s(alt (.f64 c (.f64 s x)) (patch (.f64 c (.f64 s x)) #<representation binary64>) () ())) ())
#s(alt (* c (* s x)) (taylor inf x) (#s(alt (.f64 c (.f64 s x)) (patch (.f64 c (.f64 s x)) #<representation binary64>) () ())) ())
#s(alt (* c (* s x)) (taylor inf x) (#s(alt (.f64 c (.f64 s x)) (patch (.f64 c (.f64 s x)) #<representation binary64>) () ())) ())
#s(alt (* c (* s x)) (taylor inf x) (#s(alt (.f64 c (.f64 s x)) (patch (.f64 c (.f64 s x)) #<representation binary64>) () ())) ())
#s(alt (* c (* s x)) (taylor -inf x) (#s(alt (.f64 c (.f64 s x)) (patch (.f64 c (.f64 s x)) #<representation binary64>) () ())) ())
#s(alt (* c (* s x)) (taylor -inf x) (#s(alt (.f64 c (.f64 s x)) (patch (.f64 c (.f64 s x)) #<representation binary64>) () ())) ())
#s(alt (* c (* s x)) (taylor -inf x) (#s(alt (.f64 c (.f64 s x)) (patch (.f64 c (.f64 s x)) #<representation binary64>) () ())) ())
#s(alt (* c (* s x)) (taylor -inf x) (#s(alt (.f64 c (.f64 s x)) (patch (.f64 c (.f64 s x)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor 0 c) (#s(alt (.f64 c (.f64 (.f64 c (.f64 s x)) s)) (patch (.f64 c (.f64 (.f64 c (.f64 s x)) s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor 0 c) (#s(alt (.f64 c (.f64 (.f64 c (.f64 s x)) s)) (patch (.f64 c (.f64 (.f64 c (.f64 s x)) s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor 0 c) (#s(alt (.f64 c (.f64 (.f64 c (.f64 s x)) s)) (patch (.f64 c (.f64 (.f64 c (.f64 s x)) s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor 0 c) (#s(alt (.f64 c (.f64 (.f64 c (.f64 s x)) s)) (patch (.f64 c (.f64 (.f64 c (.f64 s x)) s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor inf c) (#s(alt (.f64 c (.f64 (.f64 c (.f64 s x)) s)) (patch (.f64 c (.f64 (.f64 c (.f64 s x)) s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor inf c) (#s(alt (.f64 c (.f64 (.f64 c (.f64 s x)) s)) (patch (.f64 c (.f64 (.f64 c (.f64 s x)) s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor inf c) (#s(alt (.f64 c (.f64 (.f64 c (.f64 s x)) s)) (patch (.f64 c (.f64 (.f64 c (.f64 s x)) s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor inf c) (#s(alt (.f64 c (.f64 (.f64 c (.f64 s x)) s)) (patch (.f64 c (.f64 (.f64 c (.f64 s x)) s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor -inf c) (#s(alt (.f64 c (.f64 (.f64 c (.f64 s x)) s)) (patch (.f64 c (.f64 (.f64 c (.f64 s x)) s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor -inf c) (#s(alt (.f64 c (.f64 (.f64 c (.f64 s x)) s)) (patch (.f64 c (.f64 (.f64 c (.f64 s x)) s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor -inf c) (#s(alt (.f64 c (.f64 (.f64 c (.f64 s x)) s)) (patch (.f64 c (.f64 (.f64 c (.f64 s x)) s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor -inf c) (#s(alt (.f64 c (.f64 (.f64 c (.f64 s x)) s)) (patch (.f64 c (.f64 (.f64 c (.f64 s x)) s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor 0 s) (#s(alt (.f64 c (.f64 (.f64 c (.f64 s x)) s)) (patch (.f64 c (.f64 (.f64 c (.f64 s x)) s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor 0 s) (#s(alt (.f64 c (.f64 (.f64 c (.f64 s x)) s)) (patch (.f64 c (.f64 (.f64 c (.f64 s x)) s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor 0 s) (#s(alt (.f64 c (.f64 (.f64 c (.f64 s x)) s)) (patch (.f64 c (.f64 (.f64 c (.f64 s x)) s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor 0 s) (#s(alt (.f64 c (.f64 (.f64 c (.f64 s x)) s)) (patch (.f64 c (.f64 (.f64 c (.f64 s x)) s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor inf s) (#s(alt (.f64 c (.f64 (.f64 c (.f64 s x)) s)) (patch (.f64 c (.f64 (.f64 c (.f64 s x)) s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor inf s) (#s(alt (.f64 c (.f64 (.f64 c (.f64 s x)) s)) (patch (.f64 c (.f64 (.f64 c (.f64 s x)) s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor inf s) (#s(alt (.f64 c (.f64 (.f64 c (.f64 s x)) s)) (patch (.f64 c (.f64 (.f64 c (.f64 s x)) s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor inf s) (#s(alt (.f64 c (.f64 (.f64 c (.f64 s x)) s)) (patch (.f64 c (.f64 (.f64 c (.f64 s x)) s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor -inf s) (#s(alt (.f64 c (.f64 (.f64 c (.f64 s x)) s)) (patch (.f64 c (.f64 (.f64 c (.f64 s x)) s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor -inf s) (#s(alt (.f64 c (.f64 (.f64 c (.f64 s x)) s)) (patch (.f64 c (.f64 (.f64 c (.f64 s x)) s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor -inf s) (#s(alt (.f64 c (.f64 (.f64 c (.f64 s x)) s)) (patch (.f64 c (.f64 (.f64 c (.f64 s x)) s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor -inf s) (#s(alt (.f64 c (.f64 (.f64 c (.f64 s x)) s)) (patch (.f64 c (.f64 (.f64 c (.f64 s x)) s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor 0 x) (#s(alt (.f64 c (.f64 (.f64 c (.f64 s x)) s)) (patch (.f64 c (.f64 (.f64 c (.f64 s x)) s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor 0 x) (#s(alt (.f64 c (.f64 (.f64 c (.f64 s x)) s)) (patch (.f64 c (.f64 (.f64 c (.f64 s x)) s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor 0 x) (#s(alt (.f64 c (.f64 (.f64 c (.f64 s x)) s)) (patch (.f64 c (.f64 (.f64 c (.f64 s x)) s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor 0 x) (#s(alt (.f64 c (.f64 (.f64 c (.f64 s x)) s)) (patch (.f64 c (.f64 (.f64 c (.f64 s x)) s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor inf x) (#s(alt (.f64 c (.f64 (.f64 c (.f64 s x)) s)) (patch (.f64 c (.f64 (.f64 c (.f64 s x)) s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor inf x) (#s(alt (.f64 c (.f64 (.f64 c (.f64 s x)) s)) (patch (.f64 c (.f64 (.f64 c (.f64 s x)) s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor inf x) (#s(alt (.f64 c (.f64 (.f64 c (.f64 s x)) s)) (patch (.f64 c (.f64 (.f64 c (.f64 s x)) s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor inf x) (#s(alt (.f64 c (.f64 (.f64 c (.f64 s x)) s)) (patch (.f64 c (.f64 (.f64 c (.f64 s x)) s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor -inf x) (#s(alt (.f64 c (.f64 (.f64 c (.f64 s x)) s)) (patch (.f64 c (.f64 (.f64 c (.f64 s x)) s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor -inf x) (#s(alt (.f64 c (.f64 (.f64 c (.f64 s x)) s)) (patch (.f64 c (.f64 (.f64 c (.f64 s x)) s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor -inf x) (#s(alt (.f64 c (.f64 (.f64 c (.f64 s x)) s)) (patch (.f64 c (.f64 (.f64 c (.f64 s x)) s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor -inf x) (#s(alt (.f64 c (.f64 (.f64 c (.f64 s x)) s)) (patch (.f64 c (.f64 (.f64 c (.f64 s x)) s)) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) x)) (taylor 0 c) (#s(alt (.f64 (.f64 c (.f64 s x)) s) (patch (.f64 (.f64 c (.f64 s x)) s) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) x)) (taylor 0 c) (#s(alt (.f64 (.f64 c (.f64 s x)) s) (patch (.f64 (.f64 c (.f64 s x)) s) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) x)) (taylor 0 c) (#s(alt (.f64 (.f64 c (.f64 s x)) s) (patch (.f64 (.f64 c (.f64 s x)) s) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) x)) (taylor 0 c) (#s(alt (.f64 (.f64 c (.f64 s x)) s) (patch (.f64 (.f64 c (.f64 s x)) s) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) x)) (taylor inf c) (#s(alt (.f64 (.f64 c (.f64 s x)) s) (patch (.f64 (.f64 c (.f64 s x)) s) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) x)) (taylor inf c) (#s(alt (.f64 (.f64 c (.f64 s x)) s) (patch (.f64 (.f64 c (.f64 s x)) s) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) x)) (taylor inf c) (#s(alt (.f64 (.f64 c (.f64 s x)) s) (patch (.f64 (.f64 c (.f64 s x)) s) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) x)) (taylor inf c) (#s(alt (.f64 (.f64 c (.f64 s x)) s) (patch (.f64 (.f64 c (.f64 s x)) s) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) x)) (taylor -inf c) (#s(alt (.f64 (.f64 c (.f64 s x)) s) (patch (.f64 (.f64 c (.f64 s x)) s) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) x)) (taylor -inf c) (#s(alt (.f64 (.f64 c (.f64 s x)) s) (patch (.f64 (.f64 c (.f64 s x)) s) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) x)) (taylor -inf c) (#s(alt (.f64 (.f64 c (.f64 s x)) s) (patch (.f64 (.f64 c (.f64 s x)) s) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) x)) (taylor -inf c) (#s(alt (.f64 (.f64 c (.f64 s x)) s) (patch (.f64 (.f64 c (.f64 s x)) s) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) x)) (taylor 0 s) (#s(alt (.f64 (.f64 c (.f64 s x)) s) (patch (.f64 (.f64 c (.f64 s x)) s) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) x)) (taylor 0 s) (#s(alt (.f64 (.f64 c (.f64 s x)) s) (patch (.f64 (.f64 c (.f64 s x)) s) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) x)) (taylor 0 s) (#s(alt (.f64 (.f64 c (.f64 s x)) s) (patch (.f64 (.f64 c (.f64 s x)) s) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) x)) (taylor 0 s) (#s(alt (.f64 (.f64 c (.f64 s x)) s) (patch (.f64 (.f64 c (.f64 s x)) s) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) x)) (taylor inf s) (#s(alt (.f64 (.f64 c (.f64 s x)) s) (patch (.f64 (.f64 c (.f64 s x)) s) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) x)) (taylor inf s) (#s(alt (.f64 (.f64 c (.f64 s x)) s) (patch (.f64 (.f64 c (.f64 s x)) s) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) x)) (taylor inf s) (#s(alt (.f64 (.f64 c (.f64 s x)) s) (patch (.f64 (.f64 c (.f64 s x)) s) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) x)) (taylor inf s) (#s(alt (.f64 (.f64 c (.f64 s x)) s) (patch (.f64 (.f64 c (.f64 s x)) s) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) x)) (taylor -inf s) (#s(alt (.f64 (.f64 c (.f64 s x)) s) (patch (.f64 (.f64 c (.f64 s x)) s) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) x)) (taylor -inf s) (#s(alt (.f64 (.f64 c (.f64 s x)) s) (patch (.f64 (.f64 c (.f64 s x)) s) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) x)) (taylor -inf s) (#s(alt (.f64 (.f64 c (.f64 s x)) s) (patch (.f64 (.f64 c (.f64 s x)) s) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) x)) (taylor -inf s) (#s(alt (.f64 (.f64 c (.f64 s x)) s) (patch (.f64 (.f64 c (.f64 s x)) s) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) x)) (taylor 0 x) (#s(alt (.f64 (.f64 c (.f64 s x)) s) (patch (.f64 (.f64 c (.f64 s x)) s) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) x)) (taylor 0 x) (#s(alt (.f64 (.f64 c (.f64 s x)) s) (patch (.f64 (.f64 c (.f64 s x)) s) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) x)) (taylor 0 x) (#s(alt (.f64 (.f64 c (.f64 s x)) s) (patch (.f64 (.f64 c (.f64 s x)) s) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) x)) (taylor 0 x) (#s(alt (.f64 (.f64 c (.f64 s x)) s) (patch (.f64 (.f64 c (.f64 s x)) s) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) x)) (taylor inf x) (#s(alt (.f64 (.f64 c (.f64 s x)) s) (patch (.f64 (.f64 c (.f64 s x)) s) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) x)) (taylor inf x) (#s(alt (.f64 (.f64 c (.f64 s x)) s) (patch (.f64 (.f64 c (.f64 s x)) s) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) x)) (taylor inf x) (#s(alt (.f64 (.f64 c (.f64 s x)) s) (patch (.f64 (.f64 c (.f64 s x)) s) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) x)) (taylor inf x) (#s(alt (.f64 (.f64 c (.f64 s x)) s) (patch (.f64 (.f64 c (.f64 s x)) s) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) x)) (taylor -inf x) (#s(alt (.f64 (.f64 c (.f64 s x)) s) (patch (.f64 (.f64 c (.f64 s x)) s) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) x)) (taylor -inf x) (#s(alt (.f64 (.f64 c (.f64 s x)) s) (patch (.f64 (.f64 c (.f64 s x)) s) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) x)) (taylor -inf x) (#s(alt (.f64 (.f64 c (.f64 s x)) s) (patch (.f64 (.f64 c (.f64 s x)) s) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) x)) (taylor -inf x) (#s(alt (.f64 (.f64 c (.f64 s x)) s) (patch (.f64 (.f64 c (.f64 s x)) s) #<representation binary64>) () ())) ())

Calls

189 calls:

Time	Variable		Point	Expression
22.0ms	c	@	0	(/ (cos (+ x x)) (* c (* (* c (* s x)) s)))
4.0ms	x	@	-inf	(/ (cos (+ x x)) (* c (* (* c (* s x)) s)))
1.0ms	x	@	-inf	(/ (cos (+ x x)) (* (* c c) (* s (* s (* x x)))))
1.0ms	x	@	0	(/ 1 (* x (* x (* s (* c (* c s))))))
0.0ms	c	@	0	(* (* c s) x)

simplify528.0ms (5%)

Memory

4.7MiB live, 790.1MiB allocated

Algorithm

1×	egg-herbie

Rules

19 794×	`lower-fma.f64`
19 794×	`lower-fma.f32`
5 690×	`lower-*.f64`
5 690×	`lower-*.f32`
2 412×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	8244
1	160	8244
2	457	8160
3	1856	8100
4	4105	8052
5	6427	8052
0	8255	8004

Stop Event

1×	iter limit
1×	node limit

Counts

756 → 756

Calls

Call 1

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

rewrite159.0ms (1.5%)

Memory

19.4MiB live, 135.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

594×	`lower-*.f32`
554×	`lower-*.f64`
402×	`lower-/.f32`
394×	`lower-/.f64`
136×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	239
0	74	215
1	225	187
0	1005	187

Stop Event

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

Counts

25 → 595

Calls

Call 1

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

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

eval177.0ms (1.7%)

Memory: -0.9MiB live, 319.0MiB allocated
Compiler: Compiled 24 849 to 993 computations (96% saved)

prune321.0ms (3%)

Memory

-31.6MiB live, 579.4MiB allocated

Pruning

43 alts after pruning (43 fresh and 0 done)

	Pruned	Kept	Total
New	1 402	37	1 439
Fresh	9	6	15
Picked	5	0	5
Done	0	0	0
Total	1 416	43	1 459

Accuracy

100.0%

Counts

1 459 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.9%	(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c c)) (.f64 s (*.f64 s x))) x)
	81.2%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c (.f64 s (.f64 c s))) x)) x)
	90.7%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (.f64 c (.f64 (.f64 c (.f64 s x)) s)))
	84.9%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) c) (.f64 x (.f64 c (.f64 s (.f64 s x)))))
	48.7%	(/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 c (.f64 (.f64 c (*.f64 s x)) s))) x)
	55.0%	(/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 c (.f64 (.f64 c (*.f64 s x)) s))) x)
	51.5%	(/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))) (.f64 c (.f64 (.f64 c (.f64 s x)) s))) x)
	78.6%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 c s)) (*.f64 c s)))
▶	84.9%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x (.f64 c (.f64 s (*.f64 s x)))) c))
	85.9%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 s (.f64 x (.f64 c (*.f64 c s)))) x))
▶	97.7%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c (.f64 s x)) (.f64 c (*.f64 s x))))
	83.6%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c x) (.f64 c (.f64 s (*.f64 s x)))))
	72.8%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (* c c) (* s (* s (* x x)))) (.f64 x (.f64 x (.f64 c (.f64 c (*.f64 s s)))))))
	97.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (pow.f64 (.f64 c (.f64 s x)) #s(literal 1/2 binary64)) (pow.f64 (.f64 c (.f64 s x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
	77.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c c) x) s) (.f64 s x)))
	90.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 (.f64 c (.f64 s x)) s)))
	81.4%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s)))))))
	62.5%	(/.f64 #s(approx (/ (cos (+ x x)) (* c (* (* c (* s x)) s))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 c (.f64 c (.f64 s s)))))) x)
	45.6%	(/.f64 #s(approx (cos (+ x x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x)))))
	58.3%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (pow.f64 (.f64 (*.f64 c s) x) #s(literal 2 binary64)))
	40.3%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 s s) (.f64 (.f64 x x) c)) c))
	79.4%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)))
	59.3%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 s s) (.f64 (*.f64 x x) c)) c))
	45.1%	(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 s (.f64 s (.f64 c (.f64 c (.f64 x x)))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 s (.f64 s (.f64 c (.f64 c (.f64 x x)))))))
	73.2%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 s (.f64 s (.f64 c (.f64 c (.f64 x x)))))) (cos.f64 (+.f64 x x)))
	81.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (.f64 c (.f64 s x)) #s(literal -2 binary64)))
	68.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 c (.f64 s (*.f64 c s)))) x))
	58.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 s s)) (.f64 c (.f64 c (.f64 x x)))))
	81.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 s x))) (.f64 c (.f64 s x))))
▶	67.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c s))) (.f64 s (.f64 x x))))
▶	45.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 s (.f64 c (.f64 c s))))) (.f64 x x)))
	40.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 s (.f64 c (.f64 c s)))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 x x)))
	75.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 s (.f64 x (.f64 c (.f64 c s)))) (/.f64 #s(literal 1 binary64) x))))
	75.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c (.f64 s x)) x) (*.f64 c s))))
	66.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) x) (.f64 s (*.f64 s x)))))
	73.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 c (.f64 s (*.f64 s x)))) c)))
	64.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 c (.f64 s (*.f64 c s))))))
	65.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 s (.f64 s (*.f64 x x)))) c)))
	81.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 s x)) (.f64 c (*.f64 s x)))))
	72.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) (.f64 c (.f64 s (*.f64 s x))))))
	68.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c s) (.f64 (.f64 s (*.f64 x x)) c))))
▶	71.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 (.f64 c s) (*.f64 c s))))))
	75.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 s (.f64 x (.f64 c (*.f64 c s))))) (/.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 1 704 to 964 computations (43.4% saved)

simplify268.0ms (2.5%)

Memory

23.9MiB live, 413.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 x (.f64 c (.f64 s (*.f64 s x)))) c)
✓	cost-diff	0	(+.f64 x x)
✓	cost-diff	0	(cos.f64 (+.f64 x x))
✓	cost-diff	0	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x (.f64 c (.f64 s (*.f64 s x)))) c))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 s (.f64 c (.f64 c s))))) (.f64 x x)))
✓	cost-diff	320	(.f64 (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 s (.f64 c (*.f64 c s)))))
✓	cost-diff	384	(/.f64 (.f64 (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 s (.f64 c (.f64 c s))))) (.f64 x x))
✓	cost-diff	0	(.f64 c (.f64 c s))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 c (.f64 c s)))
✓	cost-diff	0	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c s))) (.f64 s (.f64 x x))))
✓	cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c s))) (.f64 s (.f64 x x)))
✓	cost-diff	0	(.f64 x (.f64 (.f64 c s) (.f64 c s)))
✓	cost-diff	0	(.f64 x (.f64 x (.f64 (.f64 c s) (*.f64 c s))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 (.f64 c s) (*.f64 c s)))))
✓	cost-diff	0	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 (.f64 c s) (*.f64 c s))))))
✓	cost-diff	0	(.f64 (.f64 c (.f64 s x)) (.f64 c (*.f64 s x)))
✓	cost-diff	0	(+.f64 x x)
✓	cost-diff	0	(cos.f64 (+.f64 x x))
✓	cost-diff	0	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c (.f64 s x)) (.f64 c (*.f64 s x))))

Rules

5 278×	`lower-*.f32`
5 244×	`lower-*.f64`
4 808×	`lower-fma.f32`
4 806×	`lower-fma.f64`
3 648×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	367
0	72	367
1	153	361
2	381	361
3	1323	361
4	3904	361
5	6031	361
6	6066	361
7	6070	361
8	6070	361
9	6610	361
0	8747	361

Stop Event

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

Calls

Call 1

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

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

localize148.0ms (1.4%)

Memory

20.4MiB live, 259.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x (.f64 c (.f64 s (*.f64 s x)))) c))
✓	accuracy	94.8%	(.f64 x (.f64 c (.f64 s (.f64 s x))))
✓	accuracy	94.8%	(.f64 (.f64 x (.f64 c (.f64 s (*.f64 s x)))) c)
✓	accuracy	90.0%	(.f64 c (.f64 s (*.f64 s x)))
✓	accuracy	95.4%	(.f64 s (.f64 c (*.f64 c s)))
✓	accuracy	85.6%	(.f64 (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 s (.f64 c (*.f64 c s)))))
✓	accuracy	69.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 s (.f64 c (.f64 c s))))) (.f64 x x)))
✓	accuracy	64.2%	(/.f64 (.f64 (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 s (.f64 c (.f64 c s))))) (.f64 x x))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (.f64 c (.f64 c s)))
✓	accuracy	87.5%	(.f64 s (.f64 x x))
✓	accuracy	84.0%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c s))) (.f64 s (.f64 x x)))
✓	accuracy	81.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c s))) (.f64 s (.f64 x x))))
✓	accuracy	99.7%	(.f64 (.f64 c s) (*.f64 c s))
✓	accuracy	94.1%	(.f64 x (.f64 x (.f64 (.f64 c s) (*.f64 c s))))
✓	accuracy	91.5%	(.f64 x (.f64 (.f64 c s) (.f64 c s)))
✓	accuracy	81.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 (.f64 c s) (*.f64 c s))))))
✓	accuracy	100.0%	(cos.f64 (+.f64 x x))
✓	accuracy	99.7%	(.f64 (.f64 c (.f64 s x)) (.f64 c (*.f64 s x)))
✓	accuracy	99.7%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c (.f64 s x)) (.f64 c (*.f64 s x))))
✓	accuracy	91.8%	(.f64 c (.f64 s x))

Samples

94.0ms

256×

valid

Compiler

Compiled 323 to 44 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-mult: 36.0ms (50.7% of total)

ival-cos: 17.0ms (23.9% of total)

ival-div: 11.0ms (15.5% of total)

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

ival-add: 3.0ms (4.2% of total)

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

exact: 0.0ms (0% of total)

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

series67.0ms (0.6%)

Memory

-19.6MiB live, 92.3MiB allocated

Counts

24 → 732

Calls

Call 1

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

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

Calls

183 calls:

Time	Variable		Point	Expression
24.0ms	x	@	-inf	(/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)))
1.0ms	x	@	inf	(/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x))
1.0ms	s	@	0	(/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x))
1.0ms	c	@	0	(/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x))
1.0ms	s	@	0	(/ 1 (* c (* c s)))

simplify352.0ms (3.3%)

Memory

-0.0MiB live, 569.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 780×	`lower-fma.f64`
11 780×	`lower-fma.f32`
6 468×	`lower-*.f64`
6 468×	`lower-*.f32`
2 160×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	9086
1	171	9086
2	497	9016
3	1944	8570
4	3699	8226
5	5874	8226
0	8146	8153

Stop Event

1×	iter limit
1×	node limit

Counts

732 → 732

Calls

Call 1

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

rewrite101.0ms (1%)

Memory

0.7MiB live, 195.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

874×	`lower-*.f32`
840×	`lower-*.f64`
696×	`lower-/.f32`
684×	`lower-/.f64`
232×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	298
0	72	252
1	246	218
0	1354	218

Stop Event

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

Counts

24 → 597

Calls

Call 1

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

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

eval349.0ms (3.3%)

Memory: 14.9MiB live, 294.4MiB allocated
Compiler: Compiled 26 338 to 1 279 computations (95.1% saved)

prune519.0ms (4.9%)

Memory

15.5MiB live, 570.7MiB allocated

Pruning

39 alts after pruning (36 fresh and 3 done)

	Pruned	Kept	Total
New	1 426	24	1 450
Fresh	26	12	38
Picked	2	3	5
Done	0	0	0
Total	1 454	39	1 493

Accuracy

100.0%

Counts

1 493 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	81.2%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c (.f64 s (.f64 c s))) x)) x)
	81.5%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (.f64 x (.f64 s (.f64 c (.f64 c s)))))
	84.9%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) c) (.f64 x (.f64 c (.f64 s (.f64 s x)))))
	51.5%	(/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))) (.f64 c (.f64 (.f64 c (.f64 s x)) s))) x)
	93.9%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 x c) s) (.f64 c (*.f64 s x))))
	91.9%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 c (.f64 s (*.f64 x c))) x) s))
	87.5%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x (.f64 (.f64 s (*.f64 x c)) s)) c))
	95.7%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 s (.f64 x c)) (.f64 s (*.f64 x c))))
✓	97.7%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c (.f64 s x)) (.f64 c (*.f64 s x))))
▶	97.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (pow.f64 (.f64 c (.f64 s x)) #s(literal 1/2 binary64)) (pow.f64 (.f64 c (.f64 s x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
	62.5%	(/.f64 #s(approx (/ (cos (+ x x)) (* c (* (* c (* s x)) s))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 c (.f64 c (.f64 s s)))))) x)
▶	45.6%	(/.f64 #s(approx (cos (+ x x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x)))))
	56.2%	(/.f64 #s(approx (cos (+ x x)) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))) (.f64 (.f64 c (.f64 s x)) (.f64 c (*.f64 s x))))
▶	53.4%	(/.f64 #s(approx (cos (+ x x)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64))) #s(literal -2 binary64))) #s(literal 1 binary64))) (.f64 (.f64 c (.f64 s x)) (.f64 c (.f64 s x))))
	52.9%	(/.f64 #s(approx (cos (+ x x)) (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 x (.f64 c (.f64 s (.f64 s x)))) c))
	60.4%	(/.f64 #s(approx (cos (+ x x)) (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 c (.f64 s x)) (.f64 c (.f64 s x))))
	73.9%	(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (.f64 (.f64 x (.f64 c (.f64 s (*.f64 s x)))) c))
▶	81.6%	(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (.f64 (.f64 c (.f64 s x)) (.f64 c (*.f64 s x))))
	59.3%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 s s) (.f64 (*.f64 x x) c)) c))
	45.1%	(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 s (.f64 s (.f64 c (.f64 c (.f64 x x)))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 s (.f64 s (.f64 c (.f64 c (.f64 x x)))))))
	92.6%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x s) (.f64 c (.f64 s (.f64 x c))))) (cos.f64 (+.f64 x x)))
	65.8%	#s(approx (/ (cos (+ x x)) (* (* x (* c (* s (* s x)))) c)) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c (.f64 s (.f64 s (*.f64 x x)))))))
	77.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (.f64 s (.f64 x c)) #s(literal -2 binary64)))
	45.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (.f64 s (.f64 c (.f64 c s)))) (*.f64 x x)))
	76.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c s))) (*.f64 x s)) x))
	73.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 s (.f64 x c))) (*.f64 c s)))
	77.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 s (.f64 x c))) (.f64 s (.f64 x c))))
	58.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 s s)) (.f64 c (.f64 c (.f64 x x)))))
	77.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 s (.f64 x c)))) (.f64 x s)))
✓	67.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c s))) (.f64 s (.f64 x x))))
	45.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c s) (.f64 c s)))) (.f64 x x)))
	75.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 s (.f64 x (.f64 c (.f64 c s)))) (/.f64 #s(literal 1 binary64) x))))
	75.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c (.f64 s (*.f64 x c))) x) s)))
	75.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c (.f64 s x)) x) (*.f64 c s))))
	77.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x s) (.f64 c (.f64 s (*.f64 x c))))))
	72.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) (.f64 c (.f64 s (*.f64 s x))))))
	68.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x c) (.f64 s (*.f64 c s))))))
✓	71.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 (.f64 c s) (*.f64 c s))))))
▶	32.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 c c) (*.f64 s s)))))

Compiler

Compiled 1 493 to 826 computations (44.7% saved)

simplify314.0ms (3%)

Memory

-16.5MiB live, 315.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64))) #s(literal -2 binary64)))
✓	cost-diff	0	(fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64))) #s(literal -2 binary64))) #s(literal 1 binary64))
✓	cost-diff	0	#s(approx (cos (+ x x)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64))) #s(literal -2 binary64))) #s(literal 1 binary64)))
✓	cost-diff	0	(/.f64 #s(approx (cos (+ x x)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64))) #s(literal -2 binary64))) #s(literal 1 binary64))) (.f64 (.f64 c (.f64 s x)) (.f64 c (.f64 s x))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
✓	cost-diff	0	#s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
✓	cost-diff	0	(/.f64 #s(approx (cos (+ x x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x)))))
✓	cost-diff	0	(.f64 c (.f64 s x))
✓	cost-diff	0	(.f64 (.f64 c (.f64 s x)) (.f64 c (*.f64 s x)))
✓	cost-diff	0	#s(approx (cos (+ x x)) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (.f64 (.f64 c (.f64 s x)) (.f64 c (*.f64 s x))))
✓	cost-diff	0	(.f64 (.f64 c c) (*.f64 s s))
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) (.f64 (.f64 c c) (*.f64 s s)))
✓	cost-diff	0	#s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 c c) (*.f64 s s))))
✓	cost-diff	0	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 c c) (*.f64 s s)))))
✓	cost-diff	128	(*.f64 #s(literal 2 binary64) x)
✓	cost-diff	2240	(.f64 (pow.f64 (.f64 c (.f64 s x)) #s(literal 1/2 binary64)) (pow.f64 (.f64 c (*.f64 s x)) #s(literal 1/2 binary64)))
✓	cost-diff	5504	(pow.f64 (.f64 (pow.f64 (.f64 c (.f64 s x)) #s(literal 1/2 binary64)) (pow.f64 (.f64 c (*.f64 s x)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
✓	cost-diff	5824	(pow.f64 (.f64 c (.f64 s x)) #s(literal 1/2 binary64))

Rules

5 678×	`lower-fma.f32`
5 670×	`lower-fma.f64`
5 286×	`lower-*.f32`
5 256×	`lower-*.f64`
4 130×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	61	443
0	92	416
1	192	378
2	480	370
3	1630	370
4	3991	370
5	5477	370
6	5550	370
7	5564	370
8	5564	370
9	5995	370
0	8423	370

Stop Event

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

Calls

Call 1

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

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

localize287.0ms (2.7%)

Memory

-7.7MiB live, 228.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(/.f64 #s(approx (cos (+ x x)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64))) #s(literal -2 binary64))) #s(literal 1 binary64))) (.f64 (.f64 c (.f64 s x)) (.f64 c (.f64 s x))))
✓	accuracy	99.7%	(*.f64 x #s(literal -4/45 binary64))
✓	accuracy	91.8%	(.f64 c (.f64 s x))
✓	accuracy	49.3%	#s(approx (cos (+ x x)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64))) #s(literal -2 binary64))) #s(literal 1 binary64)))
✓	accuracy	94.8%	(.f64 s (.f64 s (*.f64 x x)))
✓	accuracy	87.5%	(.f64 s (.f64 x x))
✓	accuracy	79.3%	(.f64 (.f64 c c) (.f64 s (.f64 s (*.f64 x x))))
✓	accuracy	49.2%	#s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 c (.f64 s x)) (.f64 c (*.f64 s x)))
✓	accuracy	99.7%	(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (.f64 (.f64 c (.f64 s x)) (.f64 c (*.f64 s x))))
✓	accuracy	91.8%	(.f64 c (.f64 s x))
✓	accuracy	53.4%	#s(approx (cos (+ x x)) #s(literal 1 binary64))
✓	accuracy	99.8%	(/.f64 #s(literal -2 binary64) (.f64 (.f64 c c) (*.f64 s s)))
✓	accuracy	75.6%	(.f64 (.f64 c c) (*.f64 s s))
✓	accuracy	69.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 c c) (*.f64 s s)))))
✓	accuracy	59.6%	#s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 c c) (*.f64 s s))))
✓	accuracy	99.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (pow.f64 (.f64 c (.f64 s x)) #s(literal 1/2 binary64)) (pow.f64 (.f64 c (.f64 s x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
✓	accuracy	99.5%	(.f64 (pow.f64 (.f64 c (.f64 s x)) #s(literal 1/2 binary64)) (pow.f64 (.f64 c (*.f64 s x)) #s(literal 1/2 binary64)))
✓	accuracy	91.8%	(.f64 c (.f64 s x))
✓	accuracy	74.7%	(pow.f64 (.f64 c (.f64 s x)) #s(literal 1/2 binary64))

Samples

149.0ms

256×

valid

Compiler

Compiled 361 to 58 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 125.0ms

ival-mult: 65.0ms (52.1% of total)

ival-cos: 28.0ms (22.4% of total)

ival-div: 10.0ms (8% of total)

const: 7.0ms (5.6% of total)

ival-add: 6.0ms (4.8% of total)

ival-pow2: 6.0ms (4.8% of total)

ival-sqrt: 2.0ms (1.6% of total)

exact: 1.0ms (0.8% of total)

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

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

series74.0ms (0.7%)

Memory

11.4MiB live, 86.6MiB allocated

Counts

25 → 636

Calls

Call 1

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

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

Calls

159 calls:

Time	Variable		Point	Expression
10.0ms	x	@	inf	(pow (* c (* s x)) 1/2)
1.0ms	c	@	-inf	(pow (* (pow (* c (* s x)) 1/2) (pow (* c (* s x)) 1/2)) 2)
1.0ms	x	@	-inf	(pow (* (pow (* c (* s x)) 1/2) (pow (* c (* s x)) 1/2)) 2)
1.0ms	s	@	-inf	(pow (* (pow (* c (* s x)) 1/2) (pow (* c (* s x)) 1/2)) 2)
1.0ms	c	@	-inf	(pow (* c (* s x)) 1/2)

simplify558.0ms (5.3%)

Memory

-12.9MiB live, 500.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 626×	`lower-fma.f64`
8 626×	`lower-fma.f32`
5 652×	`lower-*.f64`
5 652×	`lower-*.f32`
2 282×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	7290
1	260	7290
2	798	7220
3	3113	7144
4	6301	6904
0	8183	6831

Stop Event

1×	iter limit
1×	node limit

Counts

636 → 636

Calls

Call 1

Inputs
(sqrt (* c (* s x)))
(sqrt (* c (* s x)))
(sqrt (* c (* s x)))
(sqrt (* c (* s x)))
(sqrt (* c (* s x)))
(sqrt (* c (* s x)))
(sqrt (* c (* s x)))
(sqrt (* c (* s x)))
(* -1 (* (sqrt (* c (* s x))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* c (* s x))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* c (* s x))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* c (* s x))) (pow (sqrt -1) 2)))
(sqrt (* c (* s x)))
(sqrt (* c (* s x)))
(sqrt (* c (* s x)))
(sqrt (* c (* s x)))
(sqrt (* c (* s x)))
(sqrt (* c (* s x)))
(sqrt (* c (* s x)))
(sqrt (* c (* s x)))
(* -1 (* (sqrt (* c (* s x))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* c (* s x))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* c (* s x))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* c (* s x))) (pow (sqrt -1) 2)))
(sqrt (* c (* s x)))
(sqrt (* c (* s x)))
(sqrt (* c (* s x)))
(sqrt (* c (* s x)))
(sqrt (* c (* s x)))
(sqrt (* c (* s x)))
(sqrt (* c (* s x)))
(sqrt (* c (* s x)))
(* -1 (* (sqrt (* c (* s x))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* c (* s x))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* c (* s x))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* c (* s x))) (pow (sqrt -1) 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)))
(* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 4))))
(* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 4))))
(* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 4))))
(* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 4))))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 4))))
(* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 4))))
(* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 4))))
(* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 4))))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 4))))
(* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 4))))
(* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 4))))
(* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 4))))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* -1 (* c (* s (* x (pow (sqrt -1) 2)))))
(* -1 (* c (* s (* x (pow (sqrt -1) 2)))))
(* -1 (* c (* s (* x (pow (sqrt -1) 2)))))
(* -1 (* c (* s (* x (pow (sqrt -1) 2)))))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* -1 (* c (* s (* x (pow (sqrt -1) 2)))))
(* -1 (* c (* s (* x (pow (sqrt -1) 2)))))
(* -1 (* c (* s (* x (pow (sqrt -1) 2)))))
(* -1 (* c (* s (* x (pow (sqrt -1) 2)))))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* -1 (* c (* s (* x (pow (sqrt -1) 2)))))
(* -1 (* c (* s (* x (pow (sqrt -1) 2)))))
(* -1 (* c (* s (* x (pow (sqrt -1) 2)))))
(* -1 (* c (* s (* x (pow (sqrt -1) 2)))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (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))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 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))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ -2 (* (pow c 2) (pow s 2)))
(- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))
(- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))
(- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))
(/ -2 (* (pow c 2) (pow s 2)))
(- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))
(- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))
(- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -2 (* (pow c 2) (pow s 2)))
(/ -2 (* (pow c 2) (pow s 2)))
(/ -2 (* (pow c 2) (pow s 2)))
(/ -2 (* (pow c 2) (pow s 2)))
(/ -2 (* (pow c 2) (pow s 2)))
(/ -2 (* (pow c 2) (pow s 2)))
(/ -2 (* (pow c 2) (pow s 2)))
(/ -2 (* (pow c 2) (pow s 2)))
(/ -2 (* (pow c 2) (pow s 2)))
(/ -2 (* (pow c 2) (pow s 2)))
(/ -2 (* (pow c 2) (pow s 2)))
(/ -2 (* (pow c 2) (pow s 2)))
(/ -2 (* (pow c 2) (pow s 2)))
(/ -2 (* (pow c 2) (pow s 2)))
(/ -2 (* (pow c 2) (pow s 2)))
(/ -2 (* (pow c 2) (pow s 2)))
(/ -2 (* (pow c 2) (pow s 2)))
(/ -2 (* (pow c 2) (pow s 2)))
(/ -2 (* (pow c 2) (pow s 2)))
(/ -2 (* (pow c 2) (pow s 2)))
(/ -2 (* (pow c 2) (pow s 2)))
(/ -2 (* (pow c 2) (pow s 2)))
(/ -2 (* (pow c 2) (pow s 2)))
(/ -2 (* (pow c 2) (pow s 2)))
(* (pow c 2) (pow s 2))
(* (pow c 2) (pow s 2))
(* (pow c 2) (pow s 2))
(* (pow c 2) (pow s 2))
(* (pow c 2) (pow s 2))
(* (pow c 2) (pow s 2))
(* (pow c 2) (pow s 2))
(* (pow c 2) (pow s 2))
(* (pow c 2) (pow s 2))
(* (pow c 2) (pow s 2))
(* (pow c 2) (pow s 2))
(* (pow c 2) (pow s 2))
(* (pow c 2) (pow s 2))
(* (pow c 2) (pow s 2))
(* (pow c 2) (pow s 2))
(* (pow c 2) (pow s 2))
(* (pow c 2) (pow s 2))
(* (pow c 2) (pow s 2))
(* (pow c 2) (pow s 2))
(* (pow c 2) (pow s 2))
(* (pow c 2) (pow s 2))
(* (pow c 2) (pow s 2))
(* (pow c 2) (pow s 2))
(* (pow c 2) (pow s 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)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 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))))
(/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))
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1
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(cos (* 2 x))
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(cos (neg (* -2 x)))
(cos (neg (* -2 x)))
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(* c (* s x))
(* c (* s x))
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(* c (* s x))
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(/ (+ (* (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))
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1
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1
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(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* -2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
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(/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))
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(/ (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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(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (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
(+ 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)))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(cos (neg (* -2 x)))
(cos (neg (* -2 x)))
(cos (neg (* -2 x)))
(cos (neg (* -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)))
(* -4/45 (pow x 6))
(* (pow x 6) (- (* 2/3 (/ 1 (pow x 2))) 4/45))
(* (pow x 6) (- (* 2/3 (/ 1 (pow x 2))) (+ 4/45 (/ 2 (pow x 4)))))
(* (pow x 6) (- (+ (* 2/3 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 4/45 (/ 2 (pow x 4)))))
(* -4/45 (pow x 6))
(* (pow x 6) (- (* 2/3 (/ 1 (pow x 2))) 4/45))
(* (pow x 6) (- (* 2/3 (/ 1 (pow x 2))) (+ 4/45 (/ 2 (pow x 4)))))
(* (pow x 6) (- (+ (* 2/3 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 4/45 (/ 2 (pow x 4)))))
(* -2 x)
(* x (- (* 2/3 (pow x 2)) 2))
(* x (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))
(* x (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))
(* -4/45 (pow x 5))
(* (pow x 5) (- (* 2/3 (/ 1 (pow x 2))) 4/45))
(* (pow x 5) (- (* 2/3 (/ 1 (pow x 2))) (+ 4/45 (/ 2 (pow x 4)))))
(* (pow x 5) (- (* 2/3 (/ 1 (pow x 2))) (+ 4/45 (/ 2 (pow x 4)))))
(* -4/45 (pow x 5))
(* -1 (* (pow x 5) (- 4/45 (* 2/3 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 4/45 (/ 2 (pow x 4))) (* 2/3 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 4/45 (/ 2 (pow x 4))) (* 2/3 (/ 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))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (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 (sqrt -1) 4)))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 4)))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 4)))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 4)))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
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(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 4)))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 4)))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 4)))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 4)))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (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 (sqrt -1) 4)))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 4)))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 4)))))
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(* (pow c 2) (* (pow s 2) (pow x 2)))
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(* (pow c 2) (* (pow s 2) (pow x 2)))
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(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (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)))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (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))
(* (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))
(* (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))
(* (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))
(* (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))
(* -4/45 x)
(* -4/45 x)
(* -4/45 x)
(* -4/45 x)
(* -4/45 x)
(* -4/45 x)
(* -4/45 x)
(* -4/45 x)
(* -4/45 x)
(* -4/45 x)
(* -4/45 x)
(* -4/45 x)

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

rewrite146.0ms (1.4%)

Memory

18.9MiB live, 224.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 270×	`lower-*.f32`
1 240×	`lower-*.f64`
974×	`lower-/.f32`
964×	`lower-/.f64`
758×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	61	351
0	92	312
1	356	272
0	2023	272

Stop Event

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

Counts

25 → 413

Calls

Call 1

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

Outputs
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 c (*.f64 s x)))))
(sqrt.f64 (.f64 c (.f64 s x)))
(pow.f64 (.f64 c (.f64 s x)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 s x) (.f64 c (.f64 c (*.f64 s x)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (.f64 c (.f64 s x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (.f64 c (.f64 s x)))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 c) (sqrt.f64 (.f64 s x)))
(.f64 (sqrt.f64 (.f64 s x)) (sqrt.f64 c))
(.f64 (pow.f64 (.f64 c (.f64 s x)) #s(literal 1/4 binary64)) (pow.f64 (.f64 c (*.f64 s x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 c s) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 c s)) (sqrt.f64 x))
(exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 c (*.f64 s x)))))
(pow.f64 (.f64 c (.f64 s x)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (.f64 c (.f64 s x))) #s(literal 4 binary64))
(pow.f64 (.f64 (.f64 s x) (.f64 c (.f64 c (*.f64 s x)))) #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 (.f64 s x) (.f64 c (.f64 c (.f64 s x)))) (.f64 (.f64 s x) (.f64 c (.f64 c (*.f64 s x))))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (.f64 c (.f64 s x)))) #s(literal 2 binary64))
(.f64 c (.f64 c (.f64 s (.f64 s (*.f64 x x)))))
(.f64 s (.f64 (.f64 s (.f64 x x)) (*.f64 c c)))
(.f64 x (.f64 c (.f64 c (.f64 s (*.f64 s x)))))
(.f64 (.f64 s x) (.f64 c (.f64 c (*.f64 s x))))
(.f64 (.f64 c (.f64 s x)) (.f64 c (*.f64 s x)))
(.f64 (sqrt.f64 (.f64 c (.f64 s x))) (.f64 (sqrt.f64 (.f64 c (.f64 s x))) (.f64 c (.f64 s x))))
(.f64 (.f64 s (.f64 s x)) (.f64 x (*.f64 c c)))
(.f64 (.f64 c s) (.f64 c (.f64 s (*.f64 x x))))
(.f64 (.f64 c s) (.f64 x (.f64 c (*.f64 s x))))
(.f64 (.f64 c (.f64 c s)) (.f64 s (*.f64 x x)))
(.f64 (.f64 c (.f64 (.f64 c s) s)) (*.f64 x x))
(.f64 (.f64 c c) (.f64 s (.f64 s (*.f64 x x))))
(.f64 (.f64 s s) (.f64 (.f64 x x) (*.f64 c c)))
(.f64 (.f64 s (.f64 x x)) (.f64 c (*.f64 c s)))
(.f64 (.f64 s (.f64 s (.f64 x x))) (*.f64 c c))
(.f64 (.f64 c (.f64 c (.f64 s (*.f64 s x)))) x)
(.f64 (.f64 c (.f64 c (.f64 s x))) (*.f64 s x))
(.f64 (.f64 c (.f64 s (.f64 s (*.f64 x x)))) c)
(.f64 (exp.f64 (log.f64 (.f64 c (.f64 s x)))) (exp.f64 (log.f64 (.f64 c (*.f64 s x)))))
(.f64 (.f64 (.f64 c c) x) (.f64 s (*.f64 s x)))
(.f64 (.f64 (.f64 c (.f64 s x)) (sqrt.f64 (.f64 c (.f64 s x)))) (sqrt.f64 (.f64 c (.f64 s x))))
(.f64 (.f64 (.f64 c (.f64 s x)) (*.f64 c s)) x)
(.f64 (.f64 (.f64 c c) (.f64 s x)) (*.f64 s x))
(.f64 (.f64 (.f64 c (.f64 c (*.f64 s x))) s) x)
(.f64 (.f64 (.f64 c (.f64 c (*.f64 s x))) x) s)
(.f64 (.f64 (.f64 c (.f64 c s)) (*.f64 s x)) x)
(.f64 (.f64 (.f64 c (.f64 c s)) (*.f64 x x)) s)
(.f64 (.f64 (.f64 c c) (.f64 s (*.f64 x x))) s)
(exp.f64 (.f64 (log.f64 (.f64 c (*.f64 s x))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 c (*.f64 s x)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 s x) (.f64 c (.f64 c (.f64 s x))))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 c (.f64 s x)))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (.f64 c (.f64 s x))) (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 c (*.f64 s x))))))
(sqrt.f64 (.f64 (.f64 s x) (.f64 c (.f64 c (*.f64 s x)))))
(pow.f64 (.f64 c (.f64 s x)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (.f64 c (.f64 s x))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 s x) (.f64 c (.f64 c (*.f64 s x)))) #s(literal 1/2 binary64))
(.f64 c (.f64 s x))
(.f64 c (pow.f64 (.f64 s x) #s(literal 1 binary64)))
(.f64 c (.f64 (sqrt.f64 (.f64 s x)) (sqrt.f64 (.f64 s x))))
(.f64 s (.f64 c x))
(.f64 s (.f64 x c))
(.f64 x (.f64 c s))
(.f64 (.f64 s x) c)
(.f64 (sqrt.f64 (.f64 c (.f64 s x))) (sqrt.f64 (.f64 c (*.f64 s x))))
(.f64 (.f64 c s) x)
(.f64 (sqrt.f64 c) (pow.f64 (.f64 c (.f64 s (.f64 s (*.f64 x x)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 c) (.f64 (sqrt.f64 (.f64 s x)) (sqrt.f64 (.f64 c (*.f64 s x)))))
(.f64 (pow.f64 (.f64 c (.f64 s x)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 c (.f64 s x)) #s(literal 1/4 binary64)) (sqrt.f64 (.f64 c (.f64 s x)))))
(.f64 (pow.f64 (sqrt.f64 (.f64 c (.f64 s x))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (.f64 c (*.f64 s x))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 s x) #s(literal 1 binary64)) c)
(.f64 (pow.f64 (.f64 c s) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(.f64 (pow.f64 (sqrt.f64 c) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 s x)) #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 c c) #s(literal 1/2 binary64)) (pow.f64 (.f64 s (.f64 s (*.f64 x x))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 c (.f64 c (.f64 s x))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 s x)))
(.f64 (.f64 (sqrt.f64 (.f64 c (.f64 s x))) (sqrt.f64 c)) (sqrt.f64 (*.f64 s x)))
(.f64 (.f64 (sqrt.f64 (.f64 c (.f64 s x))) (pow.f64 (.f64 c (.f64 s x)) #s(literal 1/4 binary64))) (pow.f64 (.f64 c (.f64 s x)) #s(literal 1/4 binary64)))
(.f64 (.f64 c x) s)
(+.f64 x x)
(-.f64 (/.f64 (.f64 x x) #s(literal 0 binary64)) (/.f64 (.f64 x x) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(.f64 (.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (.f64 c (.f64 (*.f64 c s) s)))))
#s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (.f64 c (.f64 (*.f64 c s) s))))
(neg.f64 (/.f64 #s(literal 2 binary64) (.f64 c (.f64 (*.f64 c s) s))))
(/.f64 #s(literal 2 binary64) (neg.f64 (.f64 c (.f64 (*.f64 c s) s))))
(/.f64 #s(literal -2 binary64) (.f64 c (.f64 (*.f64 c s) s)))
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (.f64 c (.f64 (*.f64 c s) s)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 (.f64 c s) s)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 c (.f64 (.f64 c s) s)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 s s) (/.f64 #s(literal -2 binary64) (.f64 c c))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 c (.f64 (.f64 c s) s)) #s(literal -1/2 binary64))))
(/.f64 (/.f64 #s(literal -2 binary64) (.f64 c c)) (.f64 s s))
(/.f64 (neg.f64 (/.f64 #s(literal -2 binary64) (.f64 c c))) (neg.f64 (.f64 s s)))
(/.f64 (.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) s)) (.f64 c (*.f64 c s)))
(/.f64 (/.f64 #s(literal -2 binary64) c) (.f64 (.f64 c s) s))
(/.f64 (/.f64 #s(literal -2 binary64) s) (.f64 c (.f64 c s)))
(/.f64 (/.f64 #s(literal -2 binary64) (.f64 c s)) (.f64 c s))
(/.f64 (/.f64 #s(literal -2 binary64) (.f64 c (.f64 c s))) s)
(/.f64 (/.f64 #s(literal -2 binary64) (.f64 s s)) (.f64 c c))
(/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c c)) s) s)
(pow.f64 (.f64 (.f64 c (.f64 (.f64 c s) s)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 c (.f64 (.f64 c s) s)))))
(.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 (.f64 c s) s))))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 c (.f64 (.f64 c s) s))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 (.f64 c s) s))) #s(literal -2 binary64))
(.f64 (/.f64 #s(literal -2 binary64) (.f64 c c)) (/.f64 #s(literal 1 binary64) (*.f64 s s)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 c) (*.f64 #s(literal 2 binary64) (log.f64 s))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 s) (*.f64 #s(literal 2 binary64) (log.f64 c))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 (*.f64 c s) s))))
(/.f64 (.f64 c (.f64 (*.f64 c s) s)) #s(literal 1 binary64))
(/.f64 (neg.f64 (.f64 c (.f64 (*.f64 c s) s))) #s(literal -1 binary64))
(pow.f64 (*.f64 c s) #s(literal 2 binary64))
(.f64 c (.f64 (*.f64 c s) s))
(.f64 c (.f64 s (*.f64 c s)))
(.f64 c (/.f64 (.f64 (*.f64 c s) s) #s(literal 1 binary64)))
(.f64 s (.f64 c (*.f64 c s)))
(.f64 s (/.f64 (.f64 c (*.f64 c s)) #s(literal 1 binary64)))
(.f64 (.f64 c s) (*.f64 c s))
(.f64 (.f64 c s) (/.f64 (*.f64 c s) #s(literal 1 binary64)))
(.f64 (.f64 c (*.f64 c s)) s)
(.f64 (.f64 c (*.f64 c s)) (/.f64 s #s(literal 1 binary64)))
(.f64 (.f64 c (.f64 (.f64 c s) s)) #s(literal 1 binary64))
(.f64 (.f64 c c) (*.f64 s s))
(.f64 (.f64 c c) (/.f64 (*.f64 s s) #s(literal 1 binary64)))
(.f64 (.f64 s s) (*.f64 c c))
(.f64 (.f64 s s) (/.f64 (*.f64 c c) #s(literal 1 binary64)))
(.f64 (.f64 (*.f64 c s) s) c)
(.f64 (.f64 s (*.f64 c s)) c)
(neg.f64 (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (neg.f64 (.f64 (.f64 s x) (.f64 c (.f64 c (*.f64 s x)))))))
(neg.f64 (/.f64 (neg.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64))) (.f64 (.f64 s x) (.f64 c (.f64 c (*.f64 s x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 s x) (.f64 c (.f64 c (*.f64 s x)))) #s(approx (cos (+ x x)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 s x) (.f64 c (.f64 c (*.f64 s x)))) #s(approx (cos (+ x x)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 c (.f64 s x)) (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (.f64 c (.f64 s x)))))
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (.f64 (.f64 s x) (.f64 c (.f64 c (*.f64 s x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (.f64 s x) (.f64 c (.f64 c (*.f64 s x)))) #s(approx (cos (+ x x)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64))) (neg.f64 (.f64 (.f64 s x) (.f64 c (.f64 c (*.f64 s x))))))
(/.f64 (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (.f64 c (.f64 s x))) (.f64 c (.f64 s x)))
(/.f64 (neg.f64 (neg.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (.f64 (.f64 s x) (.f64 c (.f64 c (*.f64 s x)))))))
(/.f64 (neg.f64 (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (.f64 c (.f64 s x)))) (neg.f64 (.f64 c (.f64 s x))))
(/.f64 (.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (.f64 s x) (.f64 c (.f64 c (.f64 s x)))))
(/.f64 (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) c) (.f64 c (.f64 s (.f64 s (.f64 x x)))))
(/.f64 (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (.f64 c c)) (.f64 s (.f64 s (.f64 x x))))
(/.f64 (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (.f64 c (.f64 c (.f64 s x)))) (.f64 s x))
(/.f64 (/.f64 (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (.f64 c (.f64 s x))) c) (*.f64 s x))
(/.f64 (/.f64 (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (.f64 c (.f64 s x))) (*.f64 s x)) c)
(/.f64 (/.f64 (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (.f64 c (.f64 s x))) (*.f64 c s)) x)
(pow.f64 (/.f64 (.f64 (.f64 s x) (.f64 c (.f64 c (*.f64 s x)))) #s(approx (cos (+ x x)) #s(literal 1 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (.f64 (.f64 s x) (.f64 c (.f64 c (.f64 s x))))))
(.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 s x) (.f64 c (.f64 c (.f64 s x))))))
(.f64 (neg.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 s x) (.f64 c (.f64 c (.f64 s x)))))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 s x) (.f64 c (.f64 c (.f64 s x))))) #s(approx (cos (+ x x)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (.f64 c (.f64 s x))) (/.f64 #s(literal 1 binary64) (.f64 c (*.f64 s x))))
#s(approx (cos (+ x x)) #s(literal 1 binary64))
(exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 c (*.f64 s x)))))
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(/.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (.f64 (.f64 s x) (.f64 c (.f64 c (*.f64 s x)))))))
(/.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c c))) (neg.f64 (.f64 s (.f64 s (.f64 x x)))))
(/.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (.f64 (.f64 s x) (.f64 c (.f64 c (.f64 s x)))))
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x))) (.f64 c (.f64 s x)))
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 s (.f64 x x)))) (.f64 c c))
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 c (.f64 s (.f64 s x))))) x)
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c c)) x) (.f64 s (*.f64 s x)))
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c c)) (.f64 s (*.f64 s x))) x)
(pow.f64 (/.f64 (.f64 (.f64 s x) (.f64 c (.f64 c (*.f64 s x)))) (cos.f64 (+.f64 x x))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 s x) (.f64 c (.f64 c (.f64 s x))))))
(.f64 (cos.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 s x) (.f64 c (.f64 c (.f64 s x))))))
(.f64 (neg.f64 (cos.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 s x) (.f64 c (.f64 c (.f64 s x)))))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 s x) (.f64 c (.f64 c (.f64 s x))))) (cos.f64 (+.f64 x x)))
(.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c c)) (/.f64 #s(literal 1 binary64) (.f64 s (.f64 s (*.f64 x x)))))
(exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 c (*.f64 s x)))))
(pow.f64 (.f64 c (.f64 s x)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (.f64 c (.f64 s x))) #s(literal 4 binary64))
(pow.f64 (.f64 (.f64 s x) (.f64 c (.f64 c (*.f64 s x)))) #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 (.f64 s x) (.f64 c (.f64 c (.f64 s x)))) (.f64 (.f64 s x) (.f64 c (.f64 c (*.f64 s x))))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (.f64 c (.f64 s x)))) #s(literal 2 binary64))
(.f64 c (.f64 c (.f64 s (.f64 s (*.f64 x x)))))
(.f64 s (.f64 (.f64 s (.f64 x x)) (*.f64 c c)))
(.f64 x (.f64 c (.f64 c (.f64 s (*.f64 s x)))))
(.f64 (.f64 s x) (.f64 c (.f64 c (*.f64 s x))))
(.f64 (.f64 c (.f64 s x)) (.f64 c (*.f64 s x)))
(.f64 (sqrt.f64 (.f64 c (.f64 s x))) (.f64 (sqrt.f64 (.f64 c (.f64 s x))) (.f64 c (.f64 s x))))
(.f64 (.f64 s (.f64 s x)) (.f64 x (*.f64 c c)))
(.f64 (.f64 c s) (.f64 c (.f64 s (*.f64 x x))))
(.f64 (.f64 c s) (.f64 x (.f64 c (*.f64 s x))))
(.f64 (.f64 c (.f64 c s)) (.f64 s (*.f64 x x)))
(.f64 (.f64 c (.f64 (.f64 c s) s)) (*.f64 x x))
(.f64 (.f64 c c) (.f64 s (.f64 s (*.f64 x x))))
(.f64 (.f64 s s) (.f64 (.f64 x x) (*.f64 c c)))
(.f64 (.f64 s (.f64 x x)) (.f64 c (*.f64 c s)))
(.f64 (.f64 s (.f64 s (.f64 x x))) (*.f64 c c))
(.f64 (.f64 c (.f64 c (.f64 s (*.f64 s x)))) x)
(.f64 (.f64 c (.f64 c (.f64 s x))) (*.f64 s x))
(.f64 (.f64 c (.f64 s (.f64 s (*.f64 x x)))) c)
(.f64 (exp.f64 (log.f64 (.f64 c (.f64 s x)))) (exp.f64 (log.f64 (.f64 c (*.f64 s x)))))
(.f64 (.f64 (.f64 c c) x) (.f64 s (*.f64 s x)))
(.f64 (.f64 (.f64 c (.f64 s x)) (sqrt.f64 (.f64 c (.f64 s x)))) (sqrt.f64 (.f64 c (.f64 s x))))
(.f64 (.f64 (.f64 c (.f64 s x)) (*.f64 c s)) x)
(.f64 (.f64 (.f64 c c) (.f64 s x)) (*.f64 s x))
(.f64 (.f64 (.f64 c (.f64 c (*.f64 s x))) s) x)
(.f64 (.f64 (.f64 c (.f64 c (*.f64 s x))) x) s)
(.f64 (.f64 (.f64 c (.f64 c s)) (*.f64 s x)) x)
(.f64 (.f64 (.f64 c (.f64 c s)) (*.f64 x x)) s)
(.f64 (.f64 (.f64 c c) (.f64 s (*.f64 x x))) s)
(.f64 s (.f64 x x))
(.f64 x (.f64 s x))
(.f64 (.f64 s x) x)
(.f64 (.f64 x x) s)
(pow.f64 (*.f64 s x) #s(literal 2 binary64))
(.f64 s (.f64 s (*.f64 x x)))
(.f64 x (.f64 s (*.f64 s x)))
(.f64 (.f64 s x) (*.f64 s x))
(.f64 (.f64 s (*.f64 s x)) x)
(.f64 (.f64 s s) (*.f64 x x))
(.f64 (.f64 x x) (*.f64 s s))
(.f64 (.f64 s (*.f64 x x)) s)
(*.f64 x #s(literal -4/45 binary64))
(*.f64 #s(literal -4/45 binary64) x)

eval166.0ms (1.6%)

Memory: 16.1MiB live, 388.0MiB allocated
Compiler: Compiled 33 179 to 1 460 computations (95.6% saved)

prune304.0ms (2.9%)

Memory

-32.9MiB live, 624.5MiB allocated

Pruning

50 alts after pruning (44 fresh and 6 done)

	Pruned	Kept	Total
New	1 489	23	1 512
Fresh	10	21	31
Picked	2	3	5
Done	0	3	3
Total	1 501	50	1 551

Accuracy

100.0%

Counts

1 551 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.8%	(/.f64 (/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 c (.f64 s x))) (.f64 s x)) c)
	81.2%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c (.f64 s (.f64 c s))) x)) x)
	82.4%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 c (.f64 s (.f64 s x))))) x)
	81.5%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (.f64 x (.f64 s (.f64 c (.f64 c s)))))
	51.5%	(/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))) (.f64 c (.f64 (.f64 c (.f64 s x)) s))) x)
	80.4%	(/.f64 (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (.f64 c (.f64 c (.f64 s x)))) (.f64 s x))
	93.9%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 x c) s) (.f64 c (*.f64 s x))))
	91.9%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 c (.f64 s (*.f64 x c))) x) s))
	87.5%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x (.f64 (.f64 s (*.f64 x c)) s)) c))
	95.7%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 s (.f64 x c)) (.f64 s (*.f64 x c))))
✓	97.7%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c (.f64 s x)) (.f64 c (*.f64 s x))))
	95.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (sqrt.f64 (.f64 (.f64 s x) (.f64 c (.f64 c (.f64 s x))))) #s(literal 2 binary64)))
	62.5%	(/.f64 #s(approx (/ (cos (+ x x)) (* c (* (* c (* s x)) s))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 c (.f64 c (.f64 s s)))))) x)
	56.2%	(/.f64 #s(approx (cos (+ x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 c (.f64 s x)) (.f64 c (*.f64 s x))))
	56.8%	(/.f64 #s(approx (cos (+ x x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 c (.f64 s x)) (.f64 c s)) x))
	60.4%	(/.f64 #s(approx (cos (+ x x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 c (.f64 s x)) (sqrt.f64 (.f64 c (.f64 s x)))) (sqrt.f64 (.f64 c (*.f64 s x)))))
	54.5%	(/.f64 #s(approx (cos (+ x x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 c (.f64 c (.f64 s x))) x) s))
	60.4%	(/.f64 #s(approx (cos (+ x x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 c (.f64 s x)) (.f64 c (.f64 s x))))
✓	53.4%	(/.f64 #s(approx (cos (+ x x)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64))) #s(literal -2 binary64))) #s(literal 1 binary64))) (.f64 (.f64 c (.f64 s x)) (.f64 c (.f64 s x))))
	18.4%	(/.f64 #s(approx (cos (+ x x)) #s(approx (+ (* (* x x) -2) 1) (.f64 x (.f64 x #s(literal -2 binary64))))) (.f64 (.f64 c c) (.f64 s (.f64 s (*.f64 x x)))))
	81.6%	(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c (.f64 s x)) (sqrt.f64 (.f64 c (.f64 s x)))) (sqrt.f64 (.f64 c (.f64 s x)))))
	73.9%	(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (.f64 (.f64 x (.f64 c (.f64 s (*.f64 s x)))) c))
	81.5%	(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (.f64 (.f64 c (.f64 (sqrt.f64 (.f64 s x)) (sqrt.f64 (.f64 s x)))) (.f64 c (*.f64 s x))))
✓	81.6%	(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (.f64 (.f64 c (.f64 s x)) (.f64 c (*.f64 s x))))
	72.3%	(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (.f64 (.f64 c (.f64 c (.f64 s (*.f64 s x)))) x))
	75.1%	(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (.f64 (.f64 c s) (.f64 x (.f64 c (*.f64 s x)))))
	73.8%	(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) #s(approx (* (* c (* s x)) (* c (* s x))) (.f64 c (.f64 c (.f64 x (.f64 s (*.f64 s x)))))))
	59.3%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 s s) (.f64 (*.f64 x x) c)) c))
	45.1%	(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 s (.f64 s (.f64 c (.f64 c (.f64 x x)))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 s (.f64 s (.f64 c (.f64 c (.f64 x x)))))))
	81.6%	(.f64 (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (.f64 c (.f64 s x))) (/.f64 #s(literal 1 binary64) (.f64 c (*.f64 s x))))
	92.6%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x s) (.f64 c (.f64 s (.f64 x c))))) (cos.f64 (+.f64 x x)))
	76.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c s))) (*.f64 x s)) x))
	73.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 s (.f64 x c))) (*.f64 c s)))
	77.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 s (.f64 x c))) (.f64 s (.f64 x c))))
	58.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 s s)) (.f64 c (.f64 c (.f64 x x)))))
✓	67.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c s))) (.f64 s (.f64 x x))))
	45.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c s) (.f64 c s)))) (.f64 x x)))
	75.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 s (.f64 x (.f64 c (.f64 c s)))) (/.f64 #s(literal 1 binary64) x))))
	75.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c (.f64 s (*.f64 x c))) x) s)))
	77.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x s) (.f64 c (.f64 s (*.f64 x c))))))
	68.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x c) (.f64 s (*.f64 c s))))))
✓	71.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 (.f64 c s) (*.f64 c s))))))
	31.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 (/.f64 #s(literal -2 binary64) (.f64 s s)) (.f64 c c))))
	29.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 (/.f64 #s(literal -2 binary64) (.f64 c s)) (.f64 c s))))
	31.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 (/.f64 #s(literal -2 binary64) (.f64 c c)) (.f64 s s))))
	31.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 (/.f64 #s(literal -2 binary64) c) (.f64 (.f64 c s) s))))
	29.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 c (*.f64 c s)) s))))
	29.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 c s) (*.f64 c s)))))
✓	32.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 c c) (*.f64 s s)))))
	35.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (.f64 c (.f64 c (*.f64 s s))))))

Compiler

Compiled 2 782 to 844 computations (69.7% saved)

regimes171.0ms (1.6%)

Memory

-1.0MiB live, 327.8MiB allocated

Counts

105 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

35.0ms	c
29.0ms	x
28.0ms	s
25.0ms	(pow.f64 c #s(literal 2 binary64))
24.0ms	(/.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
99.5%	2	`x`
99.5%	2	`c`
97.7%	1	`s`
99.5%	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)))`
97.7%	1	`(pow.f64 c #s(literal 2 binary64))`
97.7%	1	`(pow.f64 s #s(literal 2 binary64))`

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes77.0ms (0.7%)

Memory

10.4MiB live, 168.9MiB allocated

Counts

72 → 1

Calls

Call 1

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

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

Calls

4 calls:

19.0ms	x
19.0ms	c
18.0ms	(pow.f64 c #s(literal 2 binary64))
18.0ms	(/.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
97.7%	1	`(pow.f64 c #s(literal 2 binary64))`
97.7%	1	`c`
97.7%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
97.7%	1	`x`

Compiler

Compiled 33 to 23 computations (30.3% saved)

regimes114.0ms (1.1%)

Memory

0.4MiB live, 195.7MiB allocated

Counts

71 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

21.0ms	c
20.0ms	x
20.0ms	s
17.0ms	(pow.f64 s #s(literal 2 binary64))
17.0ms	(pow.f64 c #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
87.8%	2	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
93.2%	2	`x`
93.2%	2	`s`
93.2%	2	`(pow.f64 s #s(literal 2 binary64))`
87.0%	2	`c`
86.9%	2	`(pow.f64 c #s(literal 2 binary64))`

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes61.0ms (0.6%)

Memory

-14.1MiB live, 106.8MiB allocated

Counts

70 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

21.0ms	s
19.0ms	x
18.0ms	(pow.f64 s #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
91.2%	2	`x`
90.6%	2	`(pow.f64 s #s(literal 2 binary64))`
90.6%	2	`s`

Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes112.0ms (1.1%)

Memory

24.6MiB live, 184.7MiB allocated

Counts

68 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

20.0ms	s
19.0ms	(pow.f64 c #s(literal 2 binary64))
19.0ms	x
18.0ms	c
17.0ms	(/.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
81.6%	1	`(pow.f64 c #s(literal 2 binary64))`
81.6%	1	`c`
85.2%	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)))`
81.6%	1	`s`
81.6%	1	`(pow.f64 s #s(literal 2 binary64))`
81.6%	1	`x`

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes8.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated

Counts

29 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

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
85.2%	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 19 to 12 computations (36.8% saved)

regimes32.0ms (0.3%)

Memory

-36.2MiB live, 47.4MiB allocated

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

7.0ms	s
6.0ms	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
4.0ms	x
4.0ms	c
4.0ms	(pow.f64 s #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
75.9%	2	`s`
73.9%	2	`(pow.f64 s #s(literal 2 binary64))`
79.2%	4	`x`
76.8%	2	`c`
76.8%	2	`(pow.f64 c #s(literal 2 binary64))`
78.1%	3	`(/.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 43 to 31 computations (27.9% saved)

regimes20.0ms (0.2%)

Memory

29.4MiB live, 29.4MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

4.0ms	c
4.0ms	x
4.0ms	s
3.0ms	(pow.f64 c #s(literal 2 binary64))
3.0ms	(/.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
71.9%	1	`s`
77.3%	4	`x`
75.5%	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)))`
71.9%	1	`(pow.f64 c #s(literal 2 binary64))`
71.9%	1	`c`

Compiler

Compiled 37 to 26 computations (29.7% saved)

regimes7.0ms (0.1%)

Memory

-23.1MiB live, 13.0MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

6.0ms

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

Results

Accuracy	Segments	Branch
74.9%	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 19 to 12 computations (36.8% saved)

regimes18.0ms (0.2%)

Memory

22.1MiB live, 22.1MiB allocated

Accuracy

Total -4.1b remaining (-10%)

Threshold costs -4.1b (-10%)

Counts

8 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

3.0ms	c
3.0ms	x
3.0ms	s
3.0ms	(pow.f64 s #s(literal 2 binary64))
3.0ms	(pow.f64 c #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
35.7%	1	`(pow.f64 c #s(literal 2 binary64))`
35.7%	1	`c`
35.7%	1	`s`
35.7%	1	`(pow.f64 s #s(literal 2 binary64))`
35.7%	1	`x`
35.7%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`

Compiler

Compiled 43 to 31 computations (27.9% saved)

bsearch20.0ms (0.2%)

Memory

-6.3MiB live, 30.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	4.700444493730218e-40	1.7960430627557758e-36

Samples

13.0ms

128×

valid

Compiler

Compiled 446 to 242 computations (45.7% saved)

Precisions

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

ival-mult: 6.0ms (59% of total)

ival-pow2: 2.0ms (19.7% of total)

ival-div: 1.0ms (9.8% of total)

ival-cos: 1.0ms (9.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch9.0ms (0.1%)

Memory

17.1MiB live, 17.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	1.5012604769369268e+171	2.7782904475098127e+171

Samples

6.0ms

64×

valid

Compiler

Compiled 150 to 98 computations (34.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-cos: 1.0ms (23.5% of total)

ival-mult: 1.0ms (23.5% of total)

ival-pow2: 1.0ms (23.5% 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)

bsearch16.0ms (0.2%)

Memory

-27.3MiB live, 9.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.29845469385228596	2.399444073986433

Samples

11.0ms

96×

valid

Compiler

Compiled 346 to 198 computations (42.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 2.0ms (36.3% of total)

ival-pow2: 2.0ms (36.3% of total)

ival-div: 1.0ms (18.2% of total)

ival-cos: 1.0ms (18.2% 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

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5.853959613920138e-230	-6.888806779979114e-274

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5.853959613920138e-230	-6.888806779979114e-274

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch24.0ms (0.2%)

Memory

-10.3MiB live, 37.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	2.4233405903495982e-55	5.888760890725714e-49

Samples

13.0ms

144×

valid

Compiler

Compiled 346 to 207 computations (40.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-cos: 3.0ms (32% of total)

ival-mult: 3.0ms (32% of total)

ival-pow2: 2.0ms (21.3% of total)

ival-div: 1.0ms (10.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5.853959613920138e-230	-6.888806779979114e-274

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5.853959613920138e-230	-6.888806779979114e-274

Compiler

Compiled 22 to 18 computations (18.2% saved)

simplify10.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated

Algorithm

1×	egg-herbie

Rules

50×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	678
1	147	678

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 490877477933605/5986310706507378352962293074805895248510699696029696 binary64)) (/.f64 (/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 c (.f64 s x))) (.f64 s x)) c) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 s (.f64 x c)) (.f64 s (*.f64 x c)))))
(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c (.f64 s x)) (.f64 c (*.f64 s x))))
(if (<=.f64 s #s(literal 1649999999999999956232880135796068888337089723363546877171201532195623783456708056725992160391687324741146218653156770423545287001303439020961285242155680707729774155399168 binary64)) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c x) (.f64 c (.f64 s (.f64 s x))))) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (.f64 c (.f64 s x)) #s(literal -2 binary64))))
(if (<=.f64 x #s(literal 6124895493223875/18014398509481984 binary64)) (/.f64 #s(approx (cos (+ x x)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64))) #s(literal -2 binary64))) #s(literal 1 binary64))) (.f64 (.f64 c (.f64 s x)) (.f64 c (.f64 s x)))) (/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (* c c) (* s (* s (* x x)))) (.f64 x (.f64 x (.f64 c (.f64 c (*.f64 s 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 -5462437423415177/109248748468303532426524291739177087748419720352823839299932287987941986104404083859807145179079545499532163655162810211465442126301091677476673225561388319475223061782757614525859074636379160981159362824370366086868021215846014341794428966928384 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (.f64 c (.f64 c (.f64 s s)))))) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 s x))) (.f64 c (.f64 s x)))))
(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 -5462437423415177/109248748468303532426524291739177087748419720352823839299932287987941986104404083859807145179079545499532163655162810211465442126301091677476673225561388319475223061782757614525859074636379160981159362824370366086868021215846014341794428966928384 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (.f64 c (.f64 c (.f64 s s)))))) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 s x)) (.f64 c (*.f64 s x))))))
(if (<=.f64 c #s(literal 8972270250827733/3450873173395281893717377931138512726225554486085193277581262111899648 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 (.f64 c s) (.f64 c s)))))) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) (.f64 c (.f64 s (*.f64 s x)))))))
(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 -5462437423415177/109248748468303532426524291739177087748419720352823839299932287987941986104404083859807145179079545499532163655162810211465442126301091677476673225561388319475223061782757614525859074636379160981159362824370366086868021215846014341794428966928384 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (.f64 c (.f64 c (.f64 s s)))))) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 (.f64 c s) (*.f64 c 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 -5462437423415177/109248748468303532426524291739177087748419720352823839299932287987941986104404083859807145179079545499532163655162810211465442126301091677476673225561388319475223061782757614525859074636379160981159362824370366086868021215846014341794428966928384 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (.f64 c (.f64 c (.f64 s s)))))) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s))))))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (.f64 c (.f64 c (*.f64 s s))))))

Outputs
(if (<=.f64 x #s(literal 490877477933605/5986310706507378352962293074805895248510699696029696 binary64)) (/.f64 (/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 c (.f64 s x))) (.f64 s x)) c) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 s (.f64 x c)) (.f64 s (*.f64 x c)))))
(if (<=.f64 x #s(literal 490877477933605/5986310706507378352962293074805895248510699696029696 binary64)) (/.f64 (/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 c (.f64 x s))) (.f64 x s)) c) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 s (.f64 x c)) (.f64 s (*.f64 x c)))))
(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c (.f64 s x)) (.f64 c (*.f64 s x))))
(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c (.f64 x s)) (.f64 c (*.f64 x s))))
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(if (<=.f64 s #s(literal 1649999999999999956232880135796068888337089723363546877171201532195623783456708056725992160391687324741146218653156770423545287001303439020961285242155680707729774155399168 binary64)) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x c) (.f64 c (.f64 s (.f64 x s))))) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (.f64 c (.f64 x s)) #s(literal -2 binary64))))
(if (<=.f64 x #s(literal 6124895493223875/18014398509481984 binary64)) (/.f64 #s(approx (cos (+ x x)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64))) #s(literal -2 binary64))) #s(literal 1 binary64))) (.f64 (.f64 c (.f64 s x)) (.f64 c (.f64 s x)))) (/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (* c c) (* s (* s (* x x)))) (.f64 x (.f64 x (.f64 c (.f64 c (*.f64 s s))))))))
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(if (<=.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 x (.f64 x (pow.f64 s #s(literal 2 binary64)))))) #s(literal -5462437423415177/109248748468303532426524291739177087748419720352823839299932287987941986104404083859807145179079545499532163655162810211465442126301091677476673225561388319475223061782757614525859074636379160981159362824370366086868021215846014341794428966928384 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (.f64 c (.f64 c (.f64 s s)))))) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 x s))) (.f64 c (.f64 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 -5462437423415177/109248748468303532426524291739177087748419720352823839299932287987941986104404083859807145179079545499532163655162810211465442126301091677476673225561388319475223061782757614525859074636379160981159362824370366086868021215846014341794428966928384 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (.f64 c (.f64 c (.f64 s s)))))) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 s x)) (.f64 c (*.f64 s x))))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 x (.f64 x (pow.f64 s #s(literal 2 binary64)))))) #s(literal -5462437423415177/109248748468303532426524291739177087748419720352823839299932287987941986104404083859807145179079545499532163655162810211465442126301091677476673225561388319475223061782757614525859074636379160981159362824370366086868021215846014341794428966928384 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (.f64 c (.f64 c (.f64 s s)))))) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 x s)) (.f64 c (*.f64 x s))))))
(if (<=.f64 c #s(literal 8972270250827733/3450873173395281893717377931138512726225554486085193277581262111899648 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 (.f64 c s) (.f64 c s)))))) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) (.f64 c (.f64 s (*.f64 s x)))))))
(if (<=.f64 c #s(literal 8972270250827733/3450873173395281893717377931138512726225554486085193277581262111899648 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 (.f64 c s) (.f64 c s)))))) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x c) (.f64 c (.f64 s (*.f64 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 -5462437423415177/109248748468303532426524291739177087748419720352823839299932287987941986104404083859807145179079545499532163655162810211465442126301091677476673225561388319475223061782757614525859074636379160981159362824370366086868021215846014341794428966928384 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (.f64 c (.f64 c (.f64 s s)))))) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 (.f64 c s) (*.f64 c s)))))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 x (.f64 x (pow.f64 s #s(literal 2 binary64)))))) #s(literal -5462437423415177/109248748468303532426524291739177087748419720352823839299932287987941986104404083859807145179079545499532163655162810211465442126301091677476673225561388319475223061782757614525859074636379160981159362824370366086868021215846014341794428966928384 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (.f64 c (.f64 c (.f64 s s)))))) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 (.f64 c s) (*.f64 c 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 -5462437423415177/109248748468303532426524291739177087748419720352823839299932287987941986104404083859807145179079545499532163655162810211465442126301091677476673225561388319475223061782757614525859074636379160981159362824370366086868021215846014341794428966928384 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (.f64 c (.f64 c (.f64 s s)))))) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s))))))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 x (.f64 x (pow.f64 s #s(literal 2 binary64)))))) #s(literal -5462437423415177/109248748468303532426524291739177087748419720352823839299932287987941986104404083859807145179079545499532163655162810211465442126301091677476673225561388319475223061782757614525859074636379160981159362824370366086868021215846014341794428966928384 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (.f64 c (.f64 c (.f64 s s)))))) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s))))))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* s (* c (* c s))))) (* x x)) (/.f64 #s(literal -2 binary64) (.f64 c (.f64 c (*.f64 s s))))))

soundness1.3s (12.4%)

Memory

11.2MiB live, 733.8MiB allocated

Rules

19 794×	`lower-fma.f64`
19 794×	`lower-fma.f32`
15 610×	`lower-fma.f64`
15 610×	`lower-fma.f32`
11 780×	`lower-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	9086
1	171	9086
2	497	9016
3	1944	8570
4	3699	8226
5	5874	8226
0	8146	8153
0	50	1476
1	117	1476
2	383	1462
3	1957	1452
4	4755	1444
5	6901	1444
0	8120	1432
0	44	298
0	72	252
1	246	218
0	1354	218
0	44	239
0	74	215
1	225	187
0	1005	187
0	108	7290
1	260	7290
2	798	7220
3	3113	7144
4	6301	6904
0	8183	6831
0	12	49
0	20	49
1	55	49
2	217	45
3	1946	39
0	8396	39
0	67	8244
1	160	8244
2	457	8160
3	1856	8100
4	4105	8052
5	6427	8052
0	8255	8004
0	61	351
0	92	312
1	356	272
0	2023	272

Stop Event

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

Compiler

Compiled 1 421 to 540 computations (62% saved)

preprocess173.0ms (1.6%)

Memory: -19.9MiB live, 96.8MiB allocated
Compiler: Compiled 1 600 to 606 computations (62.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	44	297
0	74	273
1	150	261
2	324	261
3	680	261
4	708	261
5	709	261
6	709	261
7	902	261
8	902	261
0	902	261

Iter	Nodes	Cost
0	44	297
0	74	273
1	150	261
2	324	261
3	680	261
4	708	261
5	709	261
6	709	261
7	902	261
8	902	261
0	902	261

analyze126.0ms (1.2%)

sample1.3s (12.7%)

preprocess59.0ms (0.6%)

explain200.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify18.0ms (0.2%)

localize48.0ms (0.5%)

series443.0ms (4.2%)

simplify369.0ms (3.5%)

rewrite358.0ms (3.4%)

eval119.0ms (1.1%)

prune154.0ms (1.5%)

simplify30.0ms (0.3%)

localize176.0ms (1.7%)

series71.0ms (0.7%)

simplify528.0ms (5%)

rewrite159.0ms (1.5%)

eval177.0ms (1.7%)

prune321.0ms (3%)

simplify268.0ms (2.5%)

localize148.0ms (1.4%)

series67.0ms (0.6%)

simplify352.0ms (3.3%)

rewrite101.0ms (1%)

eval349.0ms (3.3%)

prune519.0ms (4.9%)

simplify314.0ms (3%)

localize287.0ms (2.7%)

series74.0ms (0.7%)

simplify558.0ms (5.3%)

rewrite146.0ms (1.4%)

eval166.0ms (1.6%)

prune304.0ms (2.9%)

regimes171.0ms (1.6%)

regimes77.0ms (0.7%)

regimes114.0ms (1.1%)

regimes61.0ms (0.6%)

regimes112.0ms (1.1%)

regimes8.0ms (0.1%)

regimes32.0ms (0.3%)

regimes20.0ms (0.2%)

regimes7.0ms (0.1%)

regimes18.0ms (0.2%)

bsearch20.0ms (0.2%)

bsearch9.0ms (0.1%)

bsearch16.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch24.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify10.0ms (0.1%)

soundness1.3s (12.4%)

preprocess173.0ms (1.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	44	297
0	74	273
1	150	261
2	324	261
3	680	261
4	708	261
5	709	261
6	709	261
7	902	261
8	902	261
0	902	261