Metrics for mixedcos

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze138.0ms (1.4%)

Memory

21.6MiB live, 178.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample1.5s (15%)

Memory

0.5MiB live, 1 516.3MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 955.0ms

ival-mult: 431.0ms (45.1% of total)

ival-cos: 238.0ms (24.9% of total)

ival-pow2: 225.0ms (23.6% of total)

ival-div: 47.0ms (4.9% of total)

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

exact: 5.0ms (0.5% of total)

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

Bogosity

explain221.0ms (2.2%)

Memory

-22.5MiB live, 194.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
64	0	-	0	-	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`
30	0	-	0	-	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`
29	0	-	3	(8.503532161572095e+136 -2.555333264376675e+274 -2.1081109320840635e-226)	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`
2	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	129	(-2.4909394760484846e+284 3.5762571282920177e-146 -5.75351171662782e+114)	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	129	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*ou**	24	0
↳	`(pow.f64 c #s(literal 2 binary64))`	overflow	63
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	underflow	68
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	underflow	57
↳	`(pow.f64 s #s(literal 2 binary64))`	underflow	62
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*uo**	19	0
↳	`(pow.f64 c #s(literal 2 binary64))`	underflow	70
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	overflow	68
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	overflow	67
↳	`(pow.f64 s #s(literal 2 binary64))`	overflow	70
`*.f64`	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	*nu**	16	0
`*.f64`	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	*no**	14	0
`*.f64`	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	*no**	14	0
`*.f64`	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	*nu**	12	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*nu**	11	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*no**	10	0
`/.f64`	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`	n/o	2	0
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	overflow	68
↳	`(pow.f64 c #s(literal 2 binary64))`	overflow	63
↳	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	overflow	79
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	overflow	67
↳	`(pow.f64 s #s(literal 2 binary64))`	overflow	70

Confusion

	Predicted +	Predicted -
+	100	0
-	88	68

Precision

0.5319148936170213

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	100	0	0
-	88	0	68

Precision?

0.5319148936170213

Recall?

1.0

Freqs

test

number	freq
0	68
1	132
2	49
3	7

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

143.0ms

512×

valid

Compiler

Compiled 132 to 40 computations (69.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 123.0ms

ival-mult: 96.0ms (78% of total)

ival-pow2: 12.0ms (9.8% of total)

ival-cos: 11.0ms (8.9% of total)

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

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

exact: 0.0ms (0% of total)

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

preprocess51.0ms (0.5%)

Memory

9.3MiB live, 46.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs s)

(abs c)

(abs x)

(sort c s)

Compiler

Compiled 16 to 12 computations (25% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.0%	(/.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)))

Compiler

Compiled 16 to 12 computations (25% saved)

simplify15.0ms (0.1%)

Memory

-18.9MiB live, 19.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize43.0ms (0.4%)

Memory

7.5MiB live, 44.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.3686689585129423	(/.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	5.273858087344777	(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)
accuracy	7.464988738881258	(*.f64 x (pow.f64 s #s(literal 2 binary64)))
accuracy	13.836147272603803	(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))

Samples

26.0ms

256×

valid

Compiler

Compiled 58 to 14 computations (75.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 6.0ms (34.6% of total)

ival-cos: 5.0ms (28.8% of total)

ival-pow2: 4.0ms (23.1% of total)

ival-div: 1.0ms (5.8% of total)

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

exact: 0.0ms (0% of total)

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

series26.0ms (0.3%)

Memory

24.1MiB live, 24.1MiB allocated

Counts

8 → 168

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	s	@	inf	((pow c 2) (pow s 2) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))))
3.0ms	x	@	inf	((pow c 2) (pow s 2) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))))
3.0ms	x	@	0	((pow c 2) (pow s 2) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))))
2.0ms	s	@	0	((pow c 2) (pow s 2) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))))
2.0ms	x	@	-inf	((pow c 2) (pow s 2) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))))

simplify215.0ms (2.2%)

Memory

-5.1MiB live, 190.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

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

rewrite241.0ms (2.4%)

Memory

3.6MiB live, 273.1MiB allocated

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

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

Counts

8 → 685

Calls

Call 1

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

Outputs
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eval211.0ms (2.1%)

Memory: 14.4MiB live, 244.1MiB allocated
Compiler: Compiled 23 459 to 2 481 computations (89.4% saved)

prune54.0ms (0.5%)

Memory

17.6MiB live, 93.3MiB allocated

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	833	20	853
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	834	20	854

Accuracy

100.0%

Counts

854 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	86.4%	(pow.f64 (pow.f64 (/.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	87.9%	(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (.f64 x s) #s(literal 2 binary64))) c) c)
	86.4%	(/.f64 (/.f64 (neg.f64 (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) (neg.f64 x))
	76.8%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (.f64 x s) #s(literal 2 binary64))) (*.f64 c c))
	86.4%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) x) (.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))
	97.3%	(/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (.f64 x (*.f64 c s)) #s(literal 2 binary64)))
▶	97.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (*.f64 c s)) #s(literal 2 binary64)))))
	76.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) (.f64 c c)))
	87.8%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) c) c))
▶	86.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x))
	74.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 c c)) (.f64 x s)) s))
▶	75.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 c c)) s) (.f64 x s)))
	74.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 (.f64 x (.f64 s s)) c)))
	96.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))))
▶	97.3%	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)) (cos.f64 (*.f64 x #s(literal 2 binary64)))))
	97.3%	(.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) (neg.f64 (cos.f64 (.f64 x #s(literal 2 binary64)))))
	97.2%	(.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (.f64 x (*.f64 c s)) #s(literal 2 binary64))))
▶	60.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s)))
	75.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s))
	44.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c)) (*.f64 x x)))

Compiler

Compiled 618 to 476 computations (23% saved)

simplify103.0ms (1%)

Memory

-21.6MiB live, 130.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 x (.f64 c s))
cost-diff	0	(pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))
cost-diff	0	(/.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)) (cos.f64 (*.f64 x #s(literal 2 binary64))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)) (cos.f64 (*.f64 x #s(literal 2 binary64)))))
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(cos.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff	0	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x))
cost-diff	320	(.f64 (.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)
cost-diff	0	(.f64 (.f64 x (*.f64 c c)) s)
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(cos.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff	0	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 c c)) s) (.f64 x s)))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
cost-diff	0	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c)
cost-diff	0	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s)))
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(cos.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff	0	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (*.f64 c s)) #s(literal 2 binary64)))))
cost-diff	1408	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))))

Rules

5 188×	`lower-*.f32`
5 162×	`lower-*.f64`
3 660×	`lower-/.f32`
3 642×	`lower-/.f64`
1 658×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	291
0	71	287
1	129	257
2	275	257
3	987	257
4	2765	257
5	3366	257
6	7409	257
0	8145	257

Stop Event

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

Calls

Call 1

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

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

localize169.0ms (1.7%)

Memory

11.0MiB live, 290.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.046875	(/.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)) (cos.f64 (*.f64 x #s(literal 2 binary64))))
accuracy	0.1875	(pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))
accuracy	0.36476270851294235	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)) (cos.f64 (*.f64 x #s(literal 2 binary64)))))
accuracy	4.632014198815891	(.f64 x (.f64 c s))
accuracy	0.24123002930532603	(pow.f64 (*.f64 s c) #s(literal 2 binary64))
accuracy	0.3686689585129423	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x))
accuracy	3.359979452331689	(.f64 (.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)
accuracy	5.149663349466436	(.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x)
accuracy	0.3686689585129423	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 c c)) s) (.f64 x s)))
accuracy	4.2880567335178155	(.f64 (.f64 (.f64 x (.f64 c c)) s) (*.f64 x s))
accuracy	5.985626837436287	(.f64 x (.f64 c c))
accuracy	8.732795768028534	(.f64 (.f64 x (*.f64 c c)) s)
accuracy	0.1484375	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
accuracy	6.234838619768825	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c)
accuracy	11.708472480909476	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s)))
accuracy	13.898781838300378	(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s))
accuracy	0.1875	(pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))
accuracy	0.34915473547622355	(/.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)))
accuracy	0.3686689585129423	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (*.f64 c s)) #s(literal 2 binary64)))))
accuracy	4.632014198815891	(.f64 x (.f64 c s))

Samples

141.0ms

256×

valid

Compiler

Compiled 279 to 42 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-cos: 27.0ms (34.5% of total)

ival-mult: 24.0ms (30.6% of total)

ival-div: 17.0ms (21.7% of total)

ival-pow2: 9.0ms (11.5% of total)

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

exact: 0.0ms (0% of total)

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

series88.0ms (0.9%)

Memory

1.2MiB live, 195.6MiB allocated

Counts

22 → 660

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	((/ -1 (/ -1 (pow (* x (* c s)) 2))) (/ (cos (* 2 x)) (/ -1 (/ -1 (pow (* x (* c s)) 2)))) (cos (* 2 x)) (* 2 x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ 1 x) x) c) (/ (/ 1 x) x) (/ 1 x) (/ (cos (* 2 x)) (* (* (* x (* c c)) s) (* x s))) (* (* x (* c c)) s) (* (* (pow (* s c) 2) x) x) (/ (cos (* 2 x)) (* (* (pow (* s c) 2) x) x)) (/ 1 (/ (pow (* x (* c s)) 2) (cos (* x 2)))) (/ (pow (* x (* c s)) 2) (cos (* x 2))) (pow (* x (* c s)) 2) (* x (* c s)) (/ -1 (pow (* x (* c s)) 2)) (/ (/ (/ (/ 1 x) x) c) (* (* s c) s)) (* x (* c c)) (* (* (* x (* c c)) s) (* x s)) (* (pow (* s c) 2) x) (pow (* s c) 2))
7.0ms	s	@	0	((/ -1 (/ -1 (pow (* x (* c s)) 2))) (/ (cos (* 2 x)) (/ -1 (/ -1 (pow (* x (* c s)) 2)))) (cos (* 2 x)) (* 2 x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ 1 x) x) c) (/ (/ 1 x) x) (/ 1 x) (/ (cos (* 2 x)) (* (* (* x (* c c)) s) (* x s))) (* (* x (* c c)) s) (* (* (pow (* s c) 2) x) x) (/ (cos (* 2 x)) (* (* (pow (* s c) 2) x) x)) (/ 1 (/ (pow (* x (* c s)) 2) (cos (* x 2)))) (/ (pow (* x (* c s)) 2) (cos (* x 2))) (pow (* x (* c s)) 2) (* x (* c s)) (/ -1 (pow (* x (* c s)) 2)) (/ (/ (/ (/ 1 x) x) c) (* (* s c) s)) (* x (* c c)) (* (* (* x (* c c)) s) (* x s)) (* (pow (* s c) 2) x) (pow (* s c) 2))
6.0ms	x	@	inf	((/ -1 (/ -1 (pow (* x (* c s)) 2))) (/ (cos (* 2 x)) (/ -1 (/ -1 (pow (* x (* c s)) 2)))) (cos (* 2 x)) (* 2 x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ 1 x) x) c) (/ (/ 1 x) x) (/ 1 x) (/ (cos (* 2 x)) (* (* (* x (* c c)) s) (* x s))) (* (* x (* c c)) s) (* (* (pow (* s c) 2) x) x) (/ (cos (* 2 x)) (* (* (pow (* s c) 2) x) x)) (/ 1 (/ (pow (* x (* c s)) 2) (cos (* x 2)))) (/ (pow (* x (* c s)) 2) (cos (* x 2))) (pow (* x (* c s)) 2) (* x (* c s)) (/ -1 (pow (* x (* c s)) 2)) (/ (/ (/ (/ 1 x) x) c) (* (* s c) s)) (* x (* c c)) (* (* (* x (* c c)) s) (* x s)) (* (pow (* s c) 2) x) (pow (* s c) 2))
5.0ms	c	@	-inf	((/ -1 (/ -1 (pow (* x (* c s)) 2))) (/ (cos (* 2 x)) (/ -1 (/ -1 (pow (* x (* c s)) 2)))) (cos (* 2 x)) (* 2 x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ 1 x) x) c) (/ (/ 1 x) x) (/ 1 x) (/ (cos (* 2 x)) (* (* (* x (* c c)) s) (* x s))) (* (* x (* c c)) s) (* (* (pow (* s c) 2) x) x) (/ (cos (* 2 x)) (* (* (pow (* s c) 2) x) x)) (/ 1 (/ (pow (* x (* c s)) 2) (cos (* x 2)))) (/ (pow (* x (* c s)) 2) (cos (* x 2))) (pow (* x (* c s)) 2) (* x (* c s)) (/ -1 (pow (* x (* c s)) 2)) (/ (/ (/ (/ 1 x) x) c) (* (* s c) s)) (* x (* c c)) (* (* (* x (* c c)) s) (* x s)) (* (pow (* s c) 2) x) (pow (* s c) 2))
5.0ms	c	@	0	((/ -1 (/ -1 (pow (* x (* c s)) 2))) (/ (cos (* 2 x)) (/ -1 (/ -1 (pow (* x (* c s)) 2)))) (cos (* 2 x)) (* 2 x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ 1 x) x) c) (/ (/ 1 x) x) (/ 1 x) (/ (cos (* 2 x)) (* (* (* x (* c c)) s) (* x s))) (* (* x (* c c)) s) (* (* (pow (* s c) 2) x) x) (/ (cos (* 2 x)) (* (* (pow (* s c) 2) x) x)) (/ 1 (/ (pow (* x (* c s)) 2) (cos (* x 2)))) (/ (pow (* x (* c s)) 2) (cos (* x 2))) (pow (* x (* c s)) 2) (* x (* c s)) (/ -1 (pow (* x (* c s)) 2)) (/ (/ (/ (/ 1 x) x) c) (* (* s c) s)) (* x (* c c)) (* (* (* x (* c c)) s) (* x s)) (* (pow (* s c) 2) x) (pow (* s c) 2))

simplify273.0ms (2.7%)

Memory

-15.7MiB live, 283.0MiB allocated

Algorithm

1×	egg-herbie

Rules

16 468×	`lower-fma.f64`
16 468×	`lower-fma.f32`
9 210×	`lower-*.f64`
9 210×	`lower-*.f32`
1 920×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	7840
1	264	7827
2	999	7727
3	5171	7724
0	8099	7684

Stop Event

1×	iter limit
1×	node limit

Counts

660 → 660

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

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

rewrite180.0ms (1.8%)

Memory

13.6MiB live, 404.4MiB allocated

Rules

4 768×	`lower-*.f32`
4 742×	`lower-*.f64`
3 746×	`lower-/.f32`
3 728×	`lower-/.f64`
1 496×	`frac-times`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	213
0	71	207
1	239	170
2	1169	170
0	8303	170

Stop Event

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

Counts

22 → 2 981

Calls

Call 1

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

Outputs
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eval989.0ms (9.9%)

Memory: -67.4MiB live, 1 019.7MiB allocated
Compiler: Compiled 79 790 to 5 431 computations (93.2% saved)

prune173.0ms (1.7%)

Memory

-22.4MiB live, 369.3MiB allocated

Pruning

43 alts after pruning (42 fresh and 1 done)

	Pruned	Kept	Total
New	4 127	41	4 168
Fresh	14	1	15
Picked	4	1	5
Done	0	0	0
Total	4 145	43	4 188

Accuracy

100.0%

Counts

4 188 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	86.4%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) x)
	75.4%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 c c) x) s)) (*.f64 s x))
▶	96.6%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c x) s)) (.f64 (*.f64 c x) s))
	75.3%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 x (.f64 c c)) s) (*.f64 x s)))
	87.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 (.f64 s x) x) c) (.f64 s c)))))
	86.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 s c) (.f64 s c)) x) x))
	80.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 s c) s) x) (.f64 c x)))
	90.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c x) s) (.f64 s x)) c))
	90.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c x) s) c) (.f64 x s)))
▶	75.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c c) s) (.f64 s x)) x))
	96.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (.f64 c x) s)))
	53.8%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x))
	53.8%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 x (.f64 c c)) s) (.f64 x s)))
	72.6%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x))
	67.7%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x (.f64 c c)) s) (*.f64 x s)))
	73.8%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 s s) x) (.f64 c x)) c) (cos.f64 (.f64 x #s(literal 2 binary64)))))
	96.3%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 c x) s) (.f64 (.f64 c x) s)) (cos.f64 (.f64 x #s(literal 2 binary64)))))
▶	61.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (* x (* c s)) 2) (cos (* x 2))) (.f64 (.f64 (.f64 (.f64 x (*.f64 c c)) x) s) s)))
	29.8%	#s(approx (/ (cos (* 2 x)) (/ -1 (/ -1 (pow (* x (* c s)) 2)))) (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) c) (/.f64 (/.f64 (.f64 x x) s) c) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 s s)) c) c)) (*.f64 x x)))
	78.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64)))
▶	55.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 (.f64 c c) x) #s(literal -1 binary64)) (.f64 (.f64 s s) x)))
	77.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 s c) #s(literal -1 binary64)) (.f64 (.f64 (.f64 s x) x) c)))
	69.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 s c) #s(literal -2 binary64)) (.f64 x x)))
	56.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 c)) (.f64 (.f64 (neg.f64 s) s) c)))
✓	60.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s)))
	63.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (neg.f64 x)) (.f64 (.f64 s c) s)))
	63.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 c) x)) (.f64 (*.f64 s c) s)))
▶	67.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (.f64 (.f64 (*.f64 s c) s) (neg.f64 x))))
	60.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c c) s)) (.f64 (.f64 x x) s)))
	67.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) s)) (neg.f64 s)))
	62.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) (.f64 c (.f64 (neg.f64 x) x))))
	78.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 c x) s)) (.f64 (.f64 (neg.f64 c) x) s)))
	67.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (.f64 (.f64 s c) s) (.f64 (neg.f64 c) x))))
	72.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) (pow.f64 (.f64 s c) #s(literal 2 binary64)))))
	57.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) c) (.f64 (.f64 (.f64 (neg.f64 s) s) c) (.f64 x x))))
	64.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) c) (.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 s c) s))))
	44.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c)) (*.f64 x x)))
	75.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (pow.f64 (.f64 s c) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) c) x)) (*.f64 (neg.f64 x) s)))
	72.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (neg.f64 (pow.f64 (.f64 s x) #s(literal -1 binary64))) (.f64 (.f64 (.f64 (neg.f64 c) x) c) s)))
	61.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (/ (/ 1 x) x) c) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) c))) (.f64 (.f64 s c) s)))
	78.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64))))
	73.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (.f64 (/.f64 (pow.f64 (.f64 s c) #s(literal -2 binary64)) (neg.f64 x)) (/.f64 #s(literal -1 binary64) x)))
	72.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (pow.f64 (*.f64 s c) #s(literal 2 binary64))))))

Compiler

Compiled 1 302 to 1 015 computations (22% saved)

simplify157.0ms (1.6%)

Memory

26.2MiB live, 194.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (.f64 c c) s) (.f64 s x))
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(cos.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff	0	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c c) s) (.f64 s x)) x))
cost-diff	0	(.f64 (.f64 c c) x)
cost-diff	0	(pow.f64 (.f64 (.f64 c c) x) #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 (.f64 c c) x) #s(literal -1 binary64)) (.f64 (.f64 s s) x)))
cost-diff	640	(/.f64 (pow.f64 (.f64 (.f64 c c) x) #s(literal -1 binary64)) (.f64 (.f64 s s) x))
cost-diff	0	(.f64 (.f64 (*.f64 s c) s) (neg.f64 x))
cost-diff	0	(/.f64 #s(literal -1 binary64) c)
cost-diff	0	(/.f64 (/.f64 #s(literal -1 binary64) c) x)
cost-diff	0	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (.f64 (.f64 (*.f64 s c) s) (neg.f64 x))))
cost-diff	0	(.f64 (.f64 x (*.f64 c c)) x)
cost-diff	0	(.f64 (.f64 (.f64 x (.f64 c c)) x) s)
cost-diff	0	#s(approx (/ (pow (* x (* c s)) 2) (cos (* x 2))) (.f64 (.f64 (.f64 (.f64 x (*.f64 c c)) x) s) s))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (* x (* c s)) 2) (cos (* x 2))) (.f64 (.f64 (.f64 (.f64 x (*.f64 c c)) x) s) s)))
cost-diff	0	(.f64 (.f64 c x) s)
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(cos.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff	0	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (*.f64 c x) s))

Rules

8 812×	`lower-fma.f64`
8 812×	`lower-fma.f32`
3 574×	`lower-*.f32`
3 538×	`lower-*.f64`
3 000×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	337
0	81	331
1	156	307
2	366	291
3	1005	287
4	1837	287
5	2443	287
6	3368	287
7	4420	287
8	4900	287
9	6102	287
10	7724	287
0	8034	287

Stop Event

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

Calls

Call 1

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

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

localize194.0ms (2%)

Memory

-5.7MiB live, 260.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3686689585129423	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c c) s) (.f64 s x)) x))
accuracy	3.359979452331689	(.f64 (.f64 (.f64 (.f64 c c) s) (*.f64 s x)) x)
accuracy	8.72851960368013	(.f64 (.f64 (.f64 c c) s) (.f64 s x))
accuracy	12.148551753969178	(.f64 (.f64 c c) s)
accuracy	5.985626837436287	(.f64 (.f64 c c) x)
accuracy	7.464988738881258	(.f64 (.f64 s s) x)
accuracy	11.708472480909476	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 (.f64 c c) x) #s(literal -1 binary64)) (.f64 (.f64 s s) x)))
accuracy	13.54579128012102	(/.f64 (pow.f64 (.f64 (.f64 c c) x) #s(literal -1 binary64)) (.f64 (.f64 s s) x))
accuracy	0.17578125	(/.f64 (/.f64 #s(literal -1 binary64) c) x)
accuracy	6.516107161460239	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (.f64 (.f64 (*.f64 s c) s) (neg.f64 x)))
accuracy	7.439399490306028	(.f64 (.f64 (*.f64 s c) s) (neg.f64 x))
accuracy	11.708472480909476	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (.f64 (.f64 (*.f64 s c) s) (neg.f64 x))))
accuracy	5.059381961681491	(.f64 (.f64 x (*.f64 c c)) x)
accuracy	5.985626837436287	(.f64 x (.f64 c c))
accuracy	7.43098872673754	(.f64 (.f64 (.f64 x (.f64 c c)) x) s)
accuracy	18.823499731272637	#s(approx (/ (pow (* x (* c s)) 2) (cos (* x 2))) (.f64 (.f64 (.f64 (.f64 x (*.f64 c c)) x) s) s))
accuracy	0	(cos.f64 (*.f64 #s(literal 2 binary64) x))
accuracy	0.13671875	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c x) s)) (.f64 (*.f64 c x) s))
accuracy	0.21484375	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (*.f64 c x) s))
accuracy	5.554337318189996	(.f64 (.f64 c x) s)

Samples

157.0ms

256×

valid

Compiler

Compiled 286 to 49 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 122.0ms

ival-mult: 69.0ms (56.3% of total)

ival-div: 31.0ms (25.3% of total)

ival-cos: 11.0ms (9% of total)

ival-pow2: 7.0ms (5.7% of total)

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

ival-neg: 1.0ms (0.8% of total)

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

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

exact: 0.0ms (0% of total)

series154.0ms (1.5%)

Memory

-8.8MiB live, 247.7MiB allocated

Counts

24 → 708

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
40.0ms	s	@	-inf	((/ (cos (* 2 x)) (* (* c x) s)) (cos (* 2 x)) (* 2 x) (* (* c x) s) (/ 1 (/ (pow (* x (* c s)) 2) (cos (* x 2)))) (/ (pow (* x (* c s)) 2) (cos (* x 2))) (* (* (* x (* c c)) x) s) (* (* x (* c c)) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ -1 c) x) (/ -1 c) (* (* (* s c) s) (neg x)) (/ (pow (* (* c c) x) -1) (* (* s s) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow (* (* c c) x) -1) (* (* c c) x) (/ (cos (* 2 x)) (* (* (* (* c c) s) (* s x)) x)) (* (* (* c c) s) (* s x)) (/ (/ (cos (* 2 x)) (* (* c x) s)) (* (* c x) s)) (* x (* c c)) (/ (/ (/ -1 c) x) (* (* (* s c) s) (neg x))) (* (* s s) x) (* (* c c) s) (* (* (* (* c c) s) (* s x)) x))
35.0ms	c	@	inf	((/ (cos (* 2 x)) (* (* c x) s)) (cos (* 2 x)) (* 2 x) (* (* c x) s) (/ 1 (/ (pow (* x (* c s)) 2) (cos (* x 2)))) (/ (pow (* x (* c s)) 2) (cos (* x 2))) (* (* (* x (* c c)) x) s) (* (* x (* c c)) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ -1 c) x) (/ -1 c) (* (* (* s c) s) (neg x)) (/ (pow (* (* c c) x) -1) (* (* s s) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow (* (* c c) x) -1) (* (* c c) x) (/ (cos (* 2 x)) (* (* (* (* c c) s) (* s x)) x)) (* (* (* c c) s) (* s x)) (/ (/ (cos (* 2 x)) (* (* c x) s)) (* (* c x) s)) (* x (* c c)) (/ (/ (/ -1 c) x) (* (* (* s c) s) (neg x))) (* (* s s) x) (* (* c c) s) (* (* (* (* c c) s) (* s x)) x))
11.0ms	s	@	0	((/ (cos (* 2 x)) (* (* c x) s)) (cos (* 2 x)) (* 2 x) (* (* c x) s) (/ 1 (/ (pow (* x (* c s)) 2) (cos (* x 2)))) (/ (pow (* x (* c s)) 2) (cos (* x 2))) (* (* (* x (* c c)) x) s) (* (* x (* c c)) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ -1 c) x) (/ -1 c) (* (* (* s c) s) (neg x)) (/ (pow (* (* c c) x) -1) (* (* s s) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow (* (* c c) x) -1) (* (* c c) x) (/ (cos (* 2 x)) (* (* (* (* c c) s) (* s x)) x)) (* (* (* c c) s) (* s x)) (/ (/ (cos (* 2 x)) (* (* c x) s)) (* (* c x) s)) (* x (* c c)) (/ (/ (/ -1 c) x) (* (* (* s c) s) (neg x))) (* (* s s) x) (* (* c c) s) (* (* (* (* c c) s) (* s x)) x))
10.0ms	x	@	inf	((/ (cos (* 2 x)) (* (* c x) s)) (cos (* 2 x)) (* 2 x) (* (* c x) s) (/ 1 (/ (pow (* x (* c s)) 2) (cos (* x 2)))) (/ (pow (* x (* c s)) 2) (cos (* x 2))) (* (* (* x (* c c)) x) s) (* (* x (* c c)) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ -1 c) x) (/ -1 c) (* (* (* s c) s) (neg x)) (/ (pow (* (* c c) x) -1) (* (* s s) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow (* (* c c) x) -1) (* (* c c) x) (/ (cos (* 2 x)) (* (* (* (* c c) s) (* s x)) x)) (* (* (* c c) s) (* s x)) (/ (/ (cos (* 2 x)) (* (* c x) s)) (* (* c x) s)) (* x (* c c)) (/ (/ (/ -1 c) x) (* (* (* s c) s) (neg x))) (* (* s s) x) (* (* c c) s) (* (* (* (* c c) s) (* s x)) x))
5.0ms	x	@	-inf	((/ (cos (* 2 x)) (* (* c x) s)) (cos (* 2 x)) (* 2 x) (* (* c x) s) (/ 1 (/ (pow (* x (* c s)) 2) (cos (* x 2)))) (/ (pow (* x (* c s)) 2) (cos (* x 2))) (* (* (* x (* c c)) x) s) (* (* x (* c c)) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ -1 c) x) (/ -1 c) (* (* (* s c) s) (neg x)) (/ (pow (* (* c c) x) -1) (* (* s s) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow (* (* c c) x) -1) (* (* c c) x) (/ (cos (* 2 x)) (* (* (* (* c c) s) (* s x)) x)) (* (* (* c c) s) (* s x)) (/ (/ (cos (* 2 x)) (* (* c x) s)) (* (* c x) s)) (* x (* c c)) (/ (/ (/ -1 c) x) (* (* (* s c) s) (neg x))) (* (* s s) x) (* (* c c) s) (* (* (* (* c c) s) (* s x)) x))

simplify254.0ms (2.6%)

Memory

4.8MiB live, 426.6MiB allocated

Algorithm

1×	egg-herbie

Rules

19 840×	`lower-fma.f64`
19 840×	`lower-fma.f32`
5 582×	`lower-*.f64`
5 582×	`lower-*.f32`
4 612×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	7840
1	333	7827
2	1234	7725
3	3768	7722
0	8044	7674

Stop Event

1×	iter limit
1×	node limit

Counts

708 → 708

Calls

Call 1

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

rewrite275.0ms (2.8%)

Memory

23.6MiB live, 305.4MiB allocated

Rules

6 504×	`lower-*.f32`
6 468×	`lower-*.f64`
4 118×	`lower-/.f32`
4 102×	`lower-/.f64`
1 054×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	52	271
0	81	271
1	258	229
2	1302	209
0	8910	209

Stop Event

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

Counts

24 → 1 800

Calls

Call 1

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

Outputs
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eval430.0ms (4.3%)

Memory: 9.4MiB live, 670.9MiB allocated
Compiler: Compiled 47 522 to 4 217 computations (91.1% saved)

prune231.0ms (2.3%)

Memory

-6.0MiB live, 304.5MiB allocated

Pruning

50 alts after pruning (49 fresh and 1 done)

	Pruned	Kept	Total
New	2 633	32	2 665
Fresh	20	17	37
Picked	5	0	5
Done	0	1	1
Total	2 658	50	2 708

Accuracy

100.0%

Counts

2 708 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.6%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c x) s)) (.f64 (.f64 c x) s))
▶	97.6%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 (neg.f64 s) c) x)) (.f64 (*.f64 (neg.f64 s) c) x))
	76.2%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 s x)) (.f64 (.f64 (*.f64 c c) s) x))
	93.2%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c x) s)) (.f64 (*.f64 s x) c))
	94.8%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c x) s)) (.f64 (*.f64 s c) x))
	56.7%	(/.f64 (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 c x) s)) (.f64 (*.f64 c x) s))
	78.5%	(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 c x) s)) (.f64 (.f64 c x) s))
▶	75.2%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 c c) s) (*.f64 s x)) x))
	75.3%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 x (.f64 c c)) s) (*.f64 x s)))
	86.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 s c) (.f64 s c)) x) x))
	80.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 s c) s) x) (.f64 c x)))
	90.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c x) s) (.f64 s x)) c))
	90.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c x) s) c) (.f64 x s)))
	96.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (.f64 c x) s)))
	91.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 s (.f64 (.f64 (.f64 (neg.f64 s) c) x) (.f64 (neg.f64 c) x))))
	60.7%	(/.f64 #s(approx (/ (cos (* 2 x)) (* (* c x) s)) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) x) s) (/.f64 x c) (/.f64 #s(literal 1 binary64) (.f64 s c))) x)) (.f64 (.f64 c x) s))
	78.3%	(/.f64 #s(approx (/ (cos (* 2 x)) (* (* c x) s)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x s) c))) (.f64 (.f64 c x) s))
	54.1%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 c c) s) (.f64 s x)) x))
	53.8%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x))
	72.6%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x))
	67.9%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c c) s) (*.f64 s x)) x))
	67.7%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x (.f64 c c)) s) (*.f64 x s)))
	96.3%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 c x) s) (.f64 (.f64 c x) s)) (cos.f64 (.f64 x #s(literal 2 binary64)))))
	63.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (* x (* c s)) 2) (cos (* x 2))) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) c) (sqrt.f64 c)) (sqrt.f64 c)) s) s)))
	67.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (* x (* c s)) 2) (cos (* x 2))) (.f64 (.f64 (.f64 (.f64 (*.f64 x x) s) c) c) s)))
	62.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (* x (* c s)) 2) (cos (* x 2))) (.f64 (.f64 (.f64 (.f64 (*.f64 s s) x) c) c) x)))
	65.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (* x (* c s)) 2) (cos (* x 2))) (.f64 (.f64 (.f64 (.f64 x x) c) (*.f64 s c)) s)))
	66.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (* x (* c s)) 2) (cos (* x 2))) (.f64 (.f64 (.f64 (.f64 c x) (*.f64 c x)) s) s)))
	75.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (* x (* c s)) 2) (cos (* x 2))) (.f64 (.f64 (.f64 (.f64 c x) (sqrt.f64 s)) (.f64 (.f64 c x) (sqrt.f64 s))) s)))
	74.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (* x (* c s)) 2) (cos (* x 2))) (.f64 (.f64 (.f64 (neg.f64 c) x) (.f64 (*.f64 (neg.f64 s) c) x)) s)))
▶	75.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (* x (* c s)) 2) (cos (* x 2))) (.f64 (.f64 (.f64 s (.f64 c x)) (*.f64 c x)) s)))
	28.6%	#s(approx (/ (/ (cos (* 2 x)) (* (* c x) s)) (* (* c x) s)) (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (.f64 (.f64 s s) c)) (/.f64 (.f64 x x) c) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) s) c) c)) (.f64 x x)))
	69.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 s c) #s(literal -2 binary64)) (.f64 x x)))
	56.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 c)) (.f64 (.f64 (neg.f64 s) s) c)))
✓	60.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s)))
	76.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) s) (.f64 (.f64 (neg.f64 s) c) x)))
	63.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 c) x)) (.f64 (*.f64 s c) s)))
	73.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (.f64 (.f64 (neg.f64 x) s) (*.f64 s c))))
▶	70.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (.f64 (sqrt.f64 c) (.f64 (sqrt.f64 c) (.f64 (neg.f64 s) (.f64 s x))))))
	67.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 c x)) (.f64 (.f64 (.f64 s c) s) (neg.f64 x))))
	72.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) (neg.f64 x))))
▶	64.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) c) (.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 s c) s))))
	44.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c)) (*.f64 x x)))
	75.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) s) (/.f64 #s(literal -1 binary64) x)) (.f64 s c)))
	77.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 s x))) (*.f64 s c)))
	72.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (neg.f64 (pow.f64 (.f64 s x) #s(literal -1 binary64))) (.f64 (.f64 (.f64 (neg.f64 c) x) c) s)))
	61.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (/ (/ 1 x) x) c) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) c))) (.f64 (.f64 s c) s)))
	68.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 s) (.f64 s x)) (.f64 (*.f64 (neg.f64 c) x) c))))
	67.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 s c) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
	67.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 c c) s)) (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 s x))))

Compiler

Compiled 1 586 to 1 179 computations (25.7% saved)

simplify95.0ms (1%)

Memory

-2.6MiB live, 112.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

5 240×	`lower-*.f32`
5 202×	`lower-*.f64`
3 440×	`lower-/.f32`
3 424×	`lower-/.f64`
1 894×	`times-frac`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	56	366
0	89	344
1	183	332
2	503	304
3	1871	304
4	3910	300
0	8626	300

Stop Event

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

Calls

Call 1

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

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

localize163.0ms (1.6%)

Memory

5.5MiB live, 301.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3686689585129423	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 c c) s) (*.f64 s x)) x))
accuracy	3.359979452331689	(.f64 (.f64 (.f64 (.f64 c c) s) (*.f64 s x)) x)
accuracy	8.72851960368013	(.f64 (.f64 (.f64 c c) s) (.f64 s x))
accuracy	12.148551753969178	(.f64 (.f64 c c) s)
accuracy	2.2217511420078706	(.f64 (sqrt.f64 c) (.f64 (sqrt.f64 c) (.f64 (neg.f64 s) (.f64 s x))))
accuracy	4.0631717039889494	(.f64 (sqrt.f64 c) (.f64 (neg.f64 s) (*.f64 s x)))
accuracy	6.516107161460239	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (.f64 (sqrt.f64 c) (.f64 (sqrt.f64 c) (.f64 (neg.f64 s) (.f64 s x)))))
accuracy	11.708472480909476	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (.f64 (sqrt.f64 c) (.f64 (sqrt.f64 c) (.f64 (neg.f64 s) (.f64 s x))))))
accuracy	0.1171875	(.f64 (.f64 s c) s)
accuracy	3.8192375359672632	(/.f64 (/.f64 #s(literal -1 binary64) c) (.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 s c) s)))
accuracy	11.708472480909476	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) c) (.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 s c) s))))
accuracy	15.469033473122467	(.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 s c) s))
accuracy	0.36476270851294235	(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (* x (* c s)) 2) (cos (* x 2))) (.f64 (.f64 (.f64 s (.f64 c x)) (*.f64 c x)) s)))
accuracy	4.003997559091426	(.f64 (.f64 (.f64 s (.f64 c x)) (*.f64 c x)) s)
accuracy	5.554337318189996	(.f64 s (.f64 c x))
accuracy	18.823499731272637	#s(approx (/ (pow (* x (* c s)) 2) (cos (* x 2))) (.f64 (.f64 (.f64 s (.f64 c x)) (*.f64 c x)) s))
accuracy	0	(cos.f64 (*.f64 x #s(literal 2 binary64)))
accuracy	0.13671875	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 (neg.f64 s) c) x)) (.f64 (*.f64 (neg.f64 s) c) x))
accuracy	0.21484375	(/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (*.f64 (neg.f64 s) c) x))
accuracy	4.632014198815891	(.f64 (.f64 (neg.f64 s) c) x)

Samples

131.0ms

256×

valid

Compiler

Compiled 310 to 53 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

ival-mult: 44.0ms (44.1% of total)

ival-cos: 27.0ms (27% of total)

ival-div: 16.0ms (16% of total)

ival-pow2: 7.0ms (7% of total)

ival-sqrt: 2.0ms (2% of total)

ival-neg: 2.0ms (2% of total)

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

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

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

exact: 0.0ms (0% of total)

series92.0ms (0.9%)

Memory

17.0MiB live, 241.3MiB allocated

Counts

26 → 780

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	c	@	-inf	((/ (cos (* x 2)) (* (* (neg s) c) x)) (cos (* x 2)) (* x 2) (* (* (neg s) c) x) (/ 1 (/ (pow (* x (* c s)) 2) (cos (* x 2)))) (/ (pow (* x (* c s)) 2) (cos (* x 2))) (* (* s (* c x)) (* c x)) (* s (* c x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ -1 c) (* (* (neg x) x) (* (* s c) s)) (* (neg x) x) (* (sqrt c) (* (sqrt c) (* (neg s) (* s x)))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ -1 c) x) (/ (cos (+ x x)) (* (* (* (* c c) s) (* s x)) x)) (cos (+ x x)) (* (* (* c c) s) (* s x)) (* (* c c) s) (/ (/ (cos (* x 2)) (* (* (neg s) c) x)) (* (* (neg s) c) x)) (* (* (* s (* c x)) (* c x)) s) (/ (/ -1 c) (* (* (neg x) x) (* (* s c) s))) (* (* s c) s) (/ (/ (/ -1 c) x) (* (sqrt c) (* (sqrt c) (* (neg s) (* s x))))) (* (sqrt c) (* (neg s) (* s x))) (* (* (* (* c c) s) (* s x)) x))
11.0ms	c	@	0	((/ (cos (* x 2)) (* (* (neg s) c) x)) (cos (* x 2)) (* x 2) (* (* (neg s) c) x) (/ 1 (/ (pow (* x (* c s)) 2) (cos (* x 2)))) (/ (pow (* x (* c s)) 2) (cos (* x 2))) (* (* s (* c x)) (* c x)) (* s (* c x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ -1 c) (* (* (neg x) x) (* (* s c) s)) (* (neg x) x) (* (sqrt c) (* (sqrt c) (* (neg s) (* s x)))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ -1 c) x) (/ (cos (+ x x)) (* (* (* (* c c) s) (* s x)) x)) (cos (+ x x)) (* (* (* c c) s) (* s x)) (* (* c c) s) (/ (/ (cos (* x 2)) (* (* (neg s) c) x)) (* (* (neg s) c) x)) (* (* (* s (* c x)) (* c x)) s) (/ (/ -1 c) (* (* (neg x) x) (* (* s c) s))) (* (* s c) s) (/ (/ (/ -1 c) x) (* (sqrt c) (* (sqrt c) (* (neg s) (* s x))))) (* (sqrt c) (* (neg s) (* s x))) (* (* (* (* c c) s) (* s x)) x))
8.0ms	x	@	inf	((/ (cos (* x 2)) (* (* (neg s) c) x)) (cos (* x 2)) (* x 2) (* (* (neg s) c) x) (/ 1 (/ (pow (* x (* c s)) 2) (cos (* x 2)))) (/ (pow (* x (* c s)) 2) (cos (* x 2))) (* (* s (* c x)) (* c x)) (* s (* c x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ -1 c) (* (* (neg x) x) (* (* s c) s)) (* (neg x) x) (* (sqrt c) (* (sqrt c) (* (neg s) (* s x)))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ -1 c) x) (/ (cos (+ x x)) (* (* (* (* c c) s) (* s x)) x)) (cos (+ x x)) (* (* (* c c) s) (* s x)) (* (* c c) s) (/ (/ (cos (* x 2)) (* (* (neg s) c) x)) (* (* (neg s) c) x)) (* (* (* s (* c x)) (* c x)) s) (/ (/ -1 c) (* (* (neg x) x) (* (* s c) s))) (* (* s c) s) (/ (/ (/ -1 c) x) (* (sqrt c) (* (sqrt c) (* (neg s) (* s x))))) (* (sqrt c) (* (neg s) (* s x))) (* (* (* (* c c) s) (* s x)) x))
6.0ms	s	@	0	((/ (cos (* x 2)) (* (* (neg s) c) x)) (cos (* x 2)) (* x 2) (* (* (neg s) c) x) (/ 1 (/ (pow (* x (* c s)) 2) (cos (* x 2)))) (/ (pow (* x (* c s)) 2) (cos (* x 2))) (* (* s (* c x)) (* c x)) (* s (* c x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ -1 c) (* (* (neg x) x) (* (* s c) s)) (* (neg x) x) (* (sqrt c) (* (sqrt c) (* (neg s) (* s x)))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ -1 c) x) (/ (cos (+ x x)) (* (* (* (* c c) s) (* s x)) x)) (cos (+ x x)) (* (* (* c c) s) (* s x)) (* (* c c) s) (/ (/ (cos (* x 2)) (* (* (neg s) c) x)) (* (* (neg s) c) x)) (* (* (* s (* c x)) (* c x)) s) (/ (/ -1 c) (* (* (neg x) x) (* (* s c) s))) (* (* s c) s) (/ (/ (/ -1 c) x) (* (sqrt c) (* (sqrt c) (* (neg s) (* s x))))) (* (sqrt c) (* (neg s) (* s x))) (* (* (* (* c c) s) (* s x)) x))
6.0ms	c	@	inf	((/ (cos (* x 2)) (* (* (neg s) c) x)) (cos (* x 2)) (* x 2) (* (* (neg s) c) x) (/ 1 (/ (pow (* x (* c s)) 2) (cos (* x 2)))) (/ (pow (* x (* c s)) 2) (cos (* x 2))) (* (* s (* c x)) (* c x)) (* s (* c x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ -1 c) (* (* (neg x) x) (* (* s c) s)) (* (neg x) x) (* (sqrt c) (* (sqrt c) (* (neg s) (* s x)))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ -1 c) x) (/ (cos (+ x x)) (* (* (* (* c c) s) (* s x)) x)) (cos (+ x x)) (* (* (* c c) s) (* s x)) (* (* c c) s) (/ (/ (cos (* x 2)) (* (* (neg s) c) x)) (* (* (neg s) c) x)) (* (* (* s (* c x)) (* c x)) s) (/ (/ -1 c) (* (* (neg x) x) (* (* s c) s))) (* (* s c) s) (/ (/ (/ -1 c) x) (* (sqrt c) (* (sqrt c) (* (neg s) (* s x))))) (* (sqrt c) (* (neg s) (* s x))) (* (* (* (* c c) s) (* s x)) x))

simplify218.0ms (2.2%)

Memory

-15.2MiB live, 406.8MiB allocated

Algorithm

1×	egg-herbie

Rules

13 314×	`lower-fma.f64`
13 314×	`lower-fma.f32`
6 382×	`lower-*.f64`
6 382×	`lower-*.f32`
3 408×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	138	8712
1	410	8699
2	1544	8595
3	4547	8592
0	8376	8538

Stop Event

1×	iter limit
1×	node limit

Counts

780 → 780

Calls

Call 1

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

Outputs
(/ -1 (* c (* s x)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x s)) c)
(/ (- (* 2 (/ (pow x 2) (* c s))) (/ 1 (* c s))) x)
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 s c)) (fma.f64 (*.f64 #s(literal 2 binary64) x) x #s(literal -1 binary64))) x)
(/ (- (* (pow x 2) (+ (* -2/3 (/ (pow x 2) (* c s))) (* 2 (/ 1 (* c s))))) (/ 1 (* c s))) x)
(/.f64 (fma.f64 (.f64 (/.f64 (/.f64 x s) c) x) (fma.f64 (.f64 #s(literal -2/3 binary64) x) x #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) c) s)) x)
(/ (- (* (pow x 2) (+ (* (pow x 2) (- (* 4/45 (/ (pow x 2) (* c s))) (* 2/3 (/ 1 (* c s))))) (* 2 (/ 1 (* c s))))) (/ 1 (* c s))) x)
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (/.f64 (.f64 #s(literal 4/45 binary64) x) s) (/.f64 x c) (/.f64 #s(literal -2/3 binary64) (.f64 s c))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 s c)) (fma.f64 (*.f64 #s(literal 2 binary64) x) x #s(literal -1 binary64)))) x)
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* 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)
(* -1 (* c (* s x)))
(.f64 (.f64 (neg.f64 c) x) s)
(* -1 (* c (* s x)))
(.f64 (.f64 (neg.f64 c) x) s)
(* -1 (* c (* s x)))
(.f64 (.f64 (neg.f64 c) x) s)
(* -1 (* c (* s x)))
(.f64 (.f64 (neg.f64 c) x) s)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 s s) x) c) c)) x)
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (.f64 s c)) (.f64 (/.f64 (/.f64 x s) c) x) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) s) c) c)) (*.f64 x x))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) s) c) c) (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64))) (.f64 x x) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) s) c) c)) (.f64 x x))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (fma.f64 (.f64 (/.f64 x (.f64 (.f64 c c) s)) (/.f64 x s)) (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (.f64 c c)) s) s)) (.f64 x x) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) s) c) c)) (*.f64 x x))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 s s) x) c) c) x)
(* (pow x 2) (+ (* 2 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* (pow c 2) (pow s 2))))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) x #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (*.f64 s s) x) c) c) x))
(* (pow x 2) (+ (* (pow c 2) (pow s 2)) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -4 (* (pow c 2) (pow s 2))) (* 2/3 (* (pow c 2) (pow s 2)))))) (* -2 (* (pow c 2) (pow s 2)))))))
(.f64 (fma.f64 (.f64 (.f64 s s) c) c (.f64 (.f64 (.f64 (.f64 (.f64 s s) c) c) (fma.f64 #s(literal 10/3 binary64) (.f64 x x) #s(literal 2 binary64))) (.f64 x x))) (*.f64 x x))
(* (pow x 2) (+ (* (pow c 2) (pow s 2)) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -4/45 (* (pow c 2) (pow s 2))) (+ (* 4/3 (* (pow c 2) (pow s 2))) (* 2 (+ (* -4 (* (pow c 2) (pow s 2))) (* 2/3 (* (pow c 2) (pow s 2))))))))) (+ (* -4 (* (pow c 2) (pow s 2))) (* 2/3 (* (pow c 2) (pow s 2)))))) (* -2 (* (pow c 2) (pow s 2)))))))
(.f64 (.f64 (fma.f64 (.f64 (.f64 s s) c) c (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 s s) c) c) #s(literal 244/45 binary64)) (.f64 x x)) (.f64 x x) (.f64 (.f64 (.f64 (.f64 s s) c) c) (fma.f64 #s(literal 10/3 binary64) (.f64 x x) #s(literal 2 binary64)))) (.f64 x x))) x) x)
(* (pow c 2) (* s (pow x 2)))
(.f64 (.f64 (.f64 (.f64 x x) s) c) c)
(* (pow c 2) (* s (pow x 2)))
(.f64 (.f64 (.f64 (.f64 x x) s) c) c)
(* (pow c 2) (* s (pow x 2)))
(.f64 (.f64 (.f64 (.f64 x x) s) c) c)
(* (pow c 2) (* s (pow x 2)))
(.f64 (.f64 (.f64 (.f64 x x) s) c) c)
(* c (* s x))
(.f64 (.f64 x s) c)
(* c (* s x))
(.f64 (.f64 x s) c)
(* c (* s x))
(.f64 (.f64 x s) c)
(* c (* s x))
(.f64 (.f64 x s) c)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 s s) x) c) c)) x)
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (.f64 s c)) (.f64 (/.f64 (/.f64 x s) c) x) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) s) c) c)) (*.f64 x x))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) s) c) c) (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64))) (.f64 x x) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) s) c) c)) (.f64 x x))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (fma.f64 (.f64 (/.f64 x (.f64 (.f64 c c) s)) (/.f64 x s)) (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (.f64 c c)) s) s)) (.f64 x x) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) s) c) c)) (*.f64 x x))
(* -1 (* c (* (pow s 2) (pow x 2))))
(.f64 (.f64 (.f64 (.f64 (neg.f64 x) s) s) c) x)
(* -1 (* c (* (pow s 2) (pow x 2))))
(.f64 (.f64 (.f64 (.f64 (neg.f64 x) s) s) c) x)
(* -1 (* c (* (pow s 2) (pow x 2))))
(.f64 (.f64 (.f64 (.f64 (neg.f64 x) s) s) c) x)
(* -1 (* c (* (pow s 2) (pow x 2))))
(.f64 (.f64 (.f64 (.f64 (neg.f64 x) s) s) c) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (* c (* (pow s 2) x)))
(.f64 (.f64 (*.f64 (neg.f64 x) s) s) c)
(* -1 (* c (* (pow s 2) x)))
(.f64 (.f64 (*.f64 (neg.f64 x) s) s) c)
(* -1 (* c (* (pow s 2) x)))
(.f64 (.f64 (*.f64 (neg.f64 x) s) s) c)
(* -1 (* c (* (pow s 2) x)))
(.f64 (.f64 (*.f64 (neg.f64 x) s) s) c)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 s s) x) c) c)) x)
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (.f64 s c)) (.f64 (/.f64 (/.f64 x s) c) x) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) s) c) c)) (*.f64 x x))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) s) c) c) (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64))) (.f64 x x) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) s) c) c)) (.f64 x x))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (fma.f64 (.f64 (/.f64 x (.f64 (.f64 c c) s)) (/.f64 x s)) (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (.f64 c c)) s) s)) (.f64 x x) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) s) c) c)) (*.f64 x x))
(/ -1 (* c x))
(/.f64 #s(literal -1 binary64) (*.f64 x c))
(/ -1 (* c x))
(/.f64 #s(literal -1 binary64) (*.f64 x c))
(/ -1 (* c x))
(/.f64 #s(literal -1 binary64) (*.f64 x c))
(/ -1 (* c x))
(/.f64 #s(literal -1 binary64) (*.f64 x c))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 s s) x) c) c)) x)
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (.f64 s c)) (.f64 (/.f64 (/.f64 x s) c) x) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) s) c) c)) (*.f64 x x))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) s) c) c) (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64))) (.f64 x x) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) s) c) c)) (.f64 x x))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (fma.f64 (.f64 (/.f64 x (.f64 (.f64 c c) s)) (/.f64 x s)) (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (.f64 c c)) s) s)) (.f64 x x) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) s) c) c)) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* (pow c 2) (* (pow s 2) x))
(.f64 (.f64 (.f64 (.f64 s s) x) c) c)
(* (pow c 2) (* (pow s 2) x))
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(.f64 (.f64 (neg.f64 c) x) s)
(* -1 (* c (* s x)))
(.f64 (.f64 (neg.f64 c) x) s)
(* -1 (* c (* s x)))
(.f64 (.f64 (neg.f64 c) x) s)
(* -1 (* c (* s x)))
(.f64 (.f64 (neg.f64 c) x) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c c)) (.f64 (.f64 s s) x)) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c c)) (.f64 (.f64 s s) x)) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c c)) (.f64 (.f64 s s) x)) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c c)) (.f64 (.f64 s s) x)) x)
(/ (* (pow c 2) (* (pow s 2) (pow x 2))) (cos (* 2 x)))
(.f64 (/.f64 (.f64 c c) (cos.f64 (.f64 #s(literal 2 binary64) x))) (.f64 (.f64 (.f64 s s) x) x))
(/ (* (pow c 2) (* (pow s 2) (pow x 2))) (cos (* 2 x)))
(.f64 (/.f64 (.f64 c c) (cos.f64 (.f64 #s(literal 2 binary64) x))) (.f64 (.f64 (.f64 s s) x) x))
(/ (* (pow c 2) (* (pow s 2) (pow x 2))) (cos (* 2 x)))
(.f64 (/.f64 (.f64 c c) (cos.f64 (.f64 #s(literal 2 binary64) x))) (.f64 (.f64 (.f64 s s) x) x))
(/ (* (pow c 2) (* (pow s 2) (pow x 2))) (cos (* 2 x)))
(.f64 (/.f64 (.f64 c c) (cos.f64 (.f64 #s(literal 2 binary64) x))) (.f64 (.f64 (.f64 s s) x) x))
(* (pow c 2) (* s (pow x 2)))
(.f64 (.f64 (.f64 (.f64 x x) s) c) c)
(* (pow c 2) (* s (pow x 2)))
(.f64 (.f64 (.f64 (.f64 x x) s) c) c)
(* (pow c 2) (* s (pow x 2)))
(.f64 (.f64 (.f64 (.f64 x x) s) c) c)
(* (pow c 2) (* s (pow x 2)))
(.f64 (.f64 (.f64 (.f64 x x) s) c) c)
(* c (* s x))
(.f64 (.f64 x s) c)
(* c (* s x))
(.f64 (.f64 x s) c)
(* c (* s x))
(.f64 (.f64 x s) c)
(* c (* s x))
(.f64 (.f64 x s) c)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c c)) (.f64 (.f64 s s) x)) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c c)) (.f64 (.f64 s s) x)) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c c)) (.f64 (.f64 s s) x)) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c c)) (.f64 (.f64 s s) x)) x)
(/ -1 c)
(/.f64 #s(literal -1 binary64) c)
(/ -1 c)
(/.f64 #s(literal -1 binary64) c)
(/ -1 c)
(/.f64 #s(literal -1 binary64) c)
(/ -1 c)
(/.f64 #s(literal -1 binary64) c)
(* -1 (* c (* (pow s 2) (pow x 2))))
(.f64 (.f64 (.f64 (.f64 (neg.f64 x) s) s) c) x)
(* -1 (* c (* (pow s 2) (pow x 2))))
(.f64 (.f64 (.f64 (.f64 (neg.f64 x) s) s) c) x)
(* -1 (* c (* (pow s 2) (pow x 2))))
(.f64 (.f64 (.f64 (.f64 (neg.f64 x) s) s) c) x)
(* -1 (* c (* (pow s 2) (pow x 2))))
(.f64 (.f64 (.f64 (.f64 (neg.f64 x) s) s) c) x)
(* c (* (pow s 2) (* x (pow (sqrt -1) 2))))
(.f64 (.f64 (*.f64 (neg.f64 x) s) s) c)
(* c (* (pow s 2) (* x (pow (sqrt -1) 2))))
(.f64 (.f64 (*.f64 (neg.f64 x) s) s) c)
(* c (* (pow s 2) (* x (pow (sqrt -1) 2))))
(.f64 (.f64 (*.f64 (neg.f64 x) s) s) c)
(* c (* (pow s 2) (* x (pow (sqrt -1) 2))))
(.f64 (.f64 (*.f64 (neg.f64 x) s) s) c)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c c)) (.f64 (.f64 s s) x)) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c c)) (.f64 (.f64 s s) x)) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c c)) (.f64 (.f64 s s) x)) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c c)) (.f64 (.f64 s s) x)) x)
(/ -1 (* c x))
(/.f64 #s(literal -1 binary64) (*.f64 x c))
(/ -1 (* c x))
(/.f64 #s(literal -1 binary64) (*.f64 x c))
(/ -1 (* c x))
(/.f64 #s(literal -1 binary64) (*.f64 x c))
(/ -1 (* c x))
(/.f64 #s(literal -1 binary64) (*.f64 x c))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c c)) (.f64 (.f64 s s) x)) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c c)) (.f64 (.f64 s s) x)) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c c)) (.f64 (.f64 s s) x)) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c c)) (.f64 (.f64 s s) x)) x)
(* (pow c 2) (* (pow s 2) x))
(.f64 (.f64 (.f64 (.f64 s s) x) c) c)
(* (pow c 2) (* (pow s 2) x))
(.f64 (.f64 (.f64 (.f64 s s) x) c) c)
(* (pow c 2) (* (pow s 2) x))
(.f64 (.f64 (.f64 (.f64 s s) x) c) c)
(* (pow c 2) (* (pow s 2) x))
(.f64 (.f64 (.f64 (.f64 s s) x) c) c)
(* (pow c 2) s)
(.f64 (.f64 c c) s)
(* (pow c 2) s)
(.f64 (.f64 c c) s)
(* (pow c 2) s)
(.f64 (.f64 c c) s)
(* (pow c 2) s)
(.f64 (.f64 c c) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c c)) (.f64 (.f64 s s) x)) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c c)) (.f64 (.f64 s s) x)) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c c)) (.f64 (.f64 s s) x)) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c c)) (.f64 (.f64 s s) x)) x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 s s) x) c) c) x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 s s) x) c) c) x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 s s) x) c) c) x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 s s) x) c) c) x)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 s s) x) c) c)) x)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 s s) x) c) c)) x)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 s s) x) c) c)) x)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 s s) x) c) c)) x)
(* c (pow s 2))
(.f64 (.f64 s s) c)
(* c (pow s 2))
(.f64 (.f64 s s) c)
(* c (pow s 2))
(.f64 (.f64 s s) c)
(* c (pow s 2))
(.f64 (.f64 s s) c)
(/ -1 (* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 s s) x) c) c)) x)
(/ -1 (* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 s s) x) c) c)) x)
(/ -1 (* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 s s) x) c) c)) x)
(/ -1 (* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 s s) x) c) c)) x)
(* (sqrt c) (* (pow s 2) (* x (pow (sqrt -1) 2))))
(.f64 (.f64 (neg.f64 s) s) (*.f64 (sqrt.f64 c) x))
(* (sqrt c) (* (pow s 2) (* x (pow (sqrt -1) 2))))
(.f64 (.f64 (neg.f64 s) s) (*.f64 (sqrt.f64 c) x))
(* (sqrt c) (* (pow s 2) (* x (pow (sqrt -1) 2))))
(.f64 (.f64 (neg.f64 s) s) (*.f64 (sqrt.f64 c) x))
(* (sqrt c) (* (pow s 2) (* x (pow (sqrt -1) 2))))
(.f64 (.f64 (neg.f64 s) s) (*.f64 (sqrt.f64 c) x))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 s s) x) c) c) x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 s s) x) c) c) x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 s s) x) c) c) x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 s s) x) c) c) x)

rewrite126.0ms (1.3%)

Memory

-19.4MiB live, 98.1MiB allocated

Rules

1 094×	`lower-*.f32`
1 056×	`lower-*.f64`
908×	`lower-/.f32`
892×	`lower-/.f64`
182×	`lower-neg.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	56	308
0	89	292
1	289	257
0	1529	257

Stop Event

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

Counts

26 → 424

Calls

Call 1

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

Outputs
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eval138.0ms (1.4%)

Memory: 15.4MiB live, 275.1MiB allocated
Compiler: Compiled 22 228 to 1 512 computations (93.2% saved)

prune161.0ms (1.6%)

Memory

-14.0MiB live, 317.3MiB allocated

Pruning

52 alts after pruning (50 fresh and 2 done)

	Pruned	Kept	Total
New	1 247	26	1 273
Fresh	20	24	44
Picked	4	1	5
Done	0	1	1
Total	1 271	52	1 323

Accuracy

100.0%

Counts

1 323 → 52

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.6%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (neg.f64 s) c) x)) (.f64 (.f64 (neg.f64 s) c) x))
	96.6%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c x) s)) (.f64 (.f64 c x) s))
	76.2%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 s x)) (.f64 (.f64 (*.f64 c c) s) x))
	93.2%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c x) s)) (.f64 (*.f64 s x) c))
	94.8%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c x) s)) (.f64 (*.f64 s c) x))
	57.7%	(/.f64 (/.f64 #s(approx (cos (* x 2)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (neg.f64 s) c) x)) (.f64 (*.f64 (neg.f64 s) c) x))
	79.5%	(/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 s) c) x)) (.f64 (.f64 (neg.f64 s) c) x))
	56.7%	(/.f64 (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 c x) s)) (.f64 (*.f64 c x) s))
	78.5%	(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 c x) s)) (.f64 (.f64 c x) s))
	91.3%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 c x) s) (*.f64 c s)) x))
	92.0%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 c x) s) x) (*.f64 c s)))
	90.9%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 c x) s) c) (*.f64 s x)))
	80.9%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 c s) s) x) (*.f64 c x)))
	96.3%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s)))
	86.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 s c) (.f64 s c)) x) x))
	91.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 s (.f64 (.f64 (.f64 (neg.f64 s) c) x) (.f64 (neg.f64 c) x))))
	78.3%	(/.f64 #s(approx (/ (cos (* 2 x)) (* (* c x) s)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x s) c))) (.f64 (.f64 c x) s))
	54.1%	(/.f64 #s(approx (cos (+ x x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 c c) s) (.f64 s x)) x))
	53.8%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x))
	96.3%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 c x) s) (.f64 (.f64 c x) s)) (cos.f64 (.f64 x #s(literal 2 binary64)))))
	63.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (* x (* c s)) 2) (cos (* x 2))) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) c) (sqrt.f64 c)) (sqrt.f64 c)) s) s)))
	67.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (* x (* c s)) 2) (cos (* x 2))) (.f64 (.f64 (.f64 (.f64 (*.f64 x x) s) c) c) s)))
	75.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (* x (* c s)) 2) (cos (* x 2))) (.f64 (.f64 (.f64 (.f64 (*.f64 c x) s) x) c) s)))
	65.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (* x (* c s)) 2) (cos (* x 2))) (.f64 (.f64 (.f64 (.f64 x x) c) (*.f64 s c)) s)))
	75.5%	(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (* x (* c s)) 2) (cos (* x 2))) (.f64 (.f64 (.f64 (.f64 s x) c) (*.f64 c x)) s)))
	66.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (* x (* c s)) 2) (cos (* x 2))) (.f64 (.f64 (.f64 (.f64 c x) (*.f64 c x)) s) s)))
	75.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (* x (* c s)) 2) (cos (* x 2))) (.f64 (.f64 (.f64 (.f64 c x) (sqrt.f64 s)) (.f64 (.f64 c x) (sqrt.f64 s))) s)))
	77.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (* x (* c s)) 2) (cos (* x 2))) (.f64 (.f64 (.f64 (.f64 c x) s) c) (*.f64 s x))))
	74.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (* x (* c s)) 2) (cos (* x 2))) (.f64 (.f64 (.f64 (.f64 c s) x) (*.f64 c x)) s)))
	78.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (* x (* c s)) 2) (cos (* x 2))) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))))
	74.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (* x (* c s)) 2) (cos (* x 2))) (.f64 (.f64 s (.f64 (.f64 c x) s)) (*.f64 c x))))
	69.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (* x (* c s)) 2) (cos (* x 2))) (.f64 (.f64 s x) (.f64 (.f64 (*.f64 c c) s) x))))
	75.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (* x (* c s)) 2) (cos (* x 2))) (.f64 x (.f64 (.f64 c s) (.f64 (*.f64 c x) s)))))
	66.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (* x (* c s)) 2) (cos (* x 2))) (.f64 s (.f64 (.f64 c c) (.f64 (*.f64 s x) x)))))
	77.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (* x (* c s)) 2) (cos (* x 2))) (.f64 c (.f64 (.f64 c s) (.f64 (*.f64 s x) x)))))
	69.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 s c) #s(literal -2 binary64)) (.f64 x x)))
	56.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 c)) (.f64 (.f64 (neg.f64 s) s) c)))
	67.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c x)) x) s) (.f64 c s)))
✓	60.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s)))
	63.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 c) x)) (.f64 (*.f64 s c) s)))
	70.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) c) (.f64 (sqrt.f64 c) (.f64 (sqrt.f64 c) (.f64 (neg.f64 s) (.f64 s x))))))
	67.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c x)) (.f64 (.f64 (.f64 c s) s) x)))
	70.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 (neg.f64 x) x) s) (.f64 c s))) c))
	72.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) (neg.f64 x))))
	65.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) c) (.f64 (.f64 (.f64 (.f64 (neg.f64 x) x) c) s) s)))
✓	64.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) c) (.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 s c) s))))
	44.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c)) (*.f64 x x)))
	72.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (neg.f64 (pow.f64 (.f64 s x) #s(literal -1 binary64))) (.f64 (.f64 (.f64 (neg.f64 c) x) c) s)))
	61.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (/ (/ 1 x) x) c) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) c))) (.f64 (.f64 s c) s)))
	65.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 (.f64 (neg.f64 x) x) c) s) (*.f64 c s))))
	64.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)) (.f64 (.f64 c s) s)) (/.f64 #s(literal -1 binary64) c)))
	67.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 s c) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x x))))

Compiler

Compiled 2 682 to 1 050 computations (60.9% saved)

regimes213.0ms (2.1%)

Memory

22.6MiB live, 436.3MiB allocated

Counts

120 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

39.0ms	c
39.0ms	s
34.0ms	(pow.f64 s #s(literal 2 binary64))
32.0ms	x
32.0ms	(/.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`
99.6%	2	`c`
97.6%	1	`s`
97.6%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
99.6%	2	`(pow.f64 c #s(literal 2 binary64))`
97.6%	1	`(pow.f64 s #s(literal 2 binary64))`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes162.0ms (1.6%)

Memory

-9.4MiB live, 265.3MiB allocated

Counts

98 → 1

Calls

Call 1

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

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

Calls

6 calls:

28.0ms	s
28.0ms	c
27.0ms	x
26.0ms	(pow.f64 s #s(literal 2 binary64))
24.0ms	(pow.f64 c #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
96.6%	1	`s`
96.6%	1	`(pow.f64 s #s(literal 2 binary64))`
96.6%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
96.6%	1	`x`
96.6%	1	`c`
96.6%	1	`(pow.f64 c #s(literal 2 binary64))`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes152.0ms (1.5%)

Memory

3.0MiB live, 237.0MiB allocated

Counts

92 → 1

Calls

Call 1

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

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

Calls

6 calls:

27.0ms	s
26.0ms	x
25.0ms	c
25.0ms	(pow.f64 s #s(literal 2 binary64))
23.0ms	(/.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
96.3%	1	`x`
96.3%	1	`c`
96.3%	1	`s`
96.3%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
96.3%	1	`(pow.f64 c #s(literal 2 binary64))`
96.3%	1	`(pow.f64 s #s(literal 2 binary64))`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes123.0ms (1.2%)

Memory

-0.6MiB live, 200.8MiB allocated

Counts

73 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

22.0ms	(pow.f64 s #s(literal 2 binary64))
21.0ms	x
21.0ms	s
21.0ms	c
19.0ms	(pow.f64 c #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
79.5%	1	`x`
81.5%	2	`c`
82.8%	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)))`
81.5%	2	`(pow.f64 c #s(literal 2 binary64))`
79.5%	1	`(pow.f64 s #s(literal 2 binary64))`
79.5%	1	`s`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes13.0ms (0.1%)

Memory

-20.7MiB live, 26.7MiB allocated

Counts

42 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

12.0ms

(/.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
82.8%	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)))`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes29.0ms (0.3%)

Memory

7.6MiB live, 45.9MiB allocated

Counts

35 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

11.0ms	c
8.0ms	(pow.f64 c #s(literal 2 binary64))
8.0ms	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))

Results

Accuracy	Segments	Branch
81.5%	2	`c`
81.5%	2	`(pow.f64 c #s(literal 2 binary64))`
79.5%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`

Compiler

Compiled 20 to 20 computations (0% saved)

regimes59.0ms (0.6%)

Memory

21.5MiB live, 97.5MiB allocated

Counts

34 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

11.0ms	c
10.0ms	(pow.f64 s #s(literal 2 binary64))
10.0ms	s
9.0ms	x
8.0ms	(pow.f64 c #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
80.4%	2	`s`
78.5%	1	`(pow.f64 s #s(literal 2 binary64))`
78.5%	1	`x`
78.5%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
80.9%	2	`c`
80.9%	2	`(pow.f64 c #s(literal 2 binary64))`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes16.0ms (0.2%)

Memory

-26.2MiB live, 18.8MiB allocated

Counts

24 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

9.0ms	c
6.0ms	(pow.f64 c #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
80.8%	2	`c`
80.8%	2	`(pow.f64 c #s(literal 2 binary64))`

Compiler

Compiled 4 to 8 computations (-100% saved)

regimes6.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
80.7%	2	`c`
80.7%	2	`(pow.f64 c #s(literal 2 binary64))`

Compiler

Compiled 4 to 8 computations (-100% saved)

regimes16.0ms (0.2%)

Memory

-1.7MiB live, 36.0MiB allocated

Accuracy

Total -9.4b remaining (-66.3%)

Threshold costs -9.4b (-66.3%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

6 calls:

4.0ms	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
2.0ms	(pow.f64 s #s(literal 2 binary64))
2.0ms	s
2.0ms	c
2.0ms	x

Results

Accuracy	Segments	Branch
77.9%	1	`x`
77.9%	1	`(pow.f64 s #s(literal 2 binary64))`
77.9%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
77.9%	1	`s`
77.9%	1	`c`
77.9%	1	`(pow.f64 c #s(literal 2 binary64))`

Compiler

Compiled 25 to 31 computations (-24% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.6404708523877995e-110	4.8502715300027954e-105

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.0320913452457358e-87	-0.0

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.0320913452457358e-87	-0.0

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.8502715300027954e-105	4.88195418599171e-105

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.8502715300027954e-105	4.88195418599171e-105

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.6404708523877995e-110	4.8502715300027954e-105

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.8502715300027954e-105	4.88195418599171e-105

Compiler

Compiled 19 to 19 computations (0% saved)

simplify66.0ms (0.7%)

Memory

-10.1MiB live, 67.4MiB allocated

Algorithm

1×	egg-herbie

Rules

492×	`distribute-lft-neg-in-binary64-*.f64-neg.f64`
300×	`neg-mul-1-binary64-*.f64-neg.f64`
296×	`neg-sub0-binary64--.f64-neg.f64`
270×	`cancel-sign-sub-binary64-+.f64-neg.f64-*.f64--.f64`
242×	`unsub-neg-binary64--.f64-neg.f64-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	87	444
1	116	444
2	127	444
3	155	444
4	186	436
5	235	436
6	305	436
7	391	436
8	508	436
9	741	436
10	987	436
11	1201	436
12	1402	436
13	1568	436
14	1641	436
15	1666	436
16	1670	436

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (pow.f64 c #s(literal 2 binary64)) #s(literal 4230758200257591/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768 binary64)) (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (neg.f64 s) c) x)) (.f64 (.f64 (neg.f64 s) c) x)) (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c x) s)) (.f64 (*.f64 s x) c)))
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c x) s)) (.f64 (.f64 c x) s))
(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s)))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -8958978968711217/4479489484355608421114884561136888556243290994469299069799978201927583742360321890761754986543214231552 binary64)) (/.f64 (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 c x) s)) (.f64 (.f64 c x) s)) (/.f64 (/.f64 #s(approx (cos ( x 2)) #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 s) c) x)) (.f64 (.f64 (neg.f64 s) c) 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 -8958978968711217/4479489484355608421114884561136888556243290994469299069799978201927583742360321890761754986543214231552 binary64)) (/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 x (.f64 c c)) s) (.f64 x s))) (/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 s) c) x)) (.f64 (.f64 (neg.f64 s) c) x)))
(if (<=.f64 (pow.f64 c #s(literal 2 binary64)) #s(literal 1568716800937797/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672 binary64)) (/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 s) c) x)) (.f64 (.f64 (neg.f64 s) c) x)) (/.f64 #s(approx (/ (cos (* 2 x)) (* (* c x) s)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x s) c))) (.f64 (.f64 c x) s)))
(if (<=.f64 (pow.f64 c #s(literal 2 binary64)) #s(literal 1568716800937797/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (* x (* c s)) 2) (cos (* x 2))) (.f64 c (.f64 (.f64 c s) (.f64 (.f64 s x) x))))) (/.f64 #s(approx (/ (cos ( 2 x)) (* (* c x) s)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x s) c))) (.f64 (.f64 c x) s)))
(if (<=.f64 (pow.f64 c #s(literal 2 binary64)) #s(literal 4230758200257591/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (* x (* c s)) 2) (cos (* x 2))) (.f64 c (.f64 (.f64 c s) (.f64 (.f64 s x) x))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow ( x (* c s)) 2) (cos (* x 2))) (.f64 (.f64 (.f64 (.f64 c x) s) c) (*.f64 s x)))))
(if (<=.f64 (pow.f64 c #s(literal 2 binary64)) #s(literal 1568716800937797/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (* x (* c s)) 2) (cos (* x 2))) (.f64 c (.f64 (.f64 c s) (.f64 (.f64 s x) x))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow ( x (* c s)) 2) (cos (* x 2))) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (* x (* c s)) 2) (cos (* x 2))) (.f64 c (.f64 (.f64 c s) (.f64 (*.f64 s x) x)))))

Outputs
(if (<=.f64 (pow.f64 c #s(literal 2 binary64)) #s(literal 4230758200257591/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768 binary64)) (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (neg.f64 s) c) x)) (.f64 (.f64 (neg.f64 s) c) x)) (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c x) s)) (.f64 (*.f64 s x) c)))
(if (<=.f64 (pow.f64 c #s(literal 2 binary64)) #s(literal 4230758200257591/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768 binary64)) (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 s c) x)) (.f64 (.f64 s c) x)) (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 x c) s)) (.f64 (*.f64 s x) c)))
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c x) s)) (.f64 (.f64 c x) s))
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x c) s)) (.f64 (.f64 x c) s))
(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s)))
(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x 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 -8958978968711217/4479489484355608421114884561136888556243290994469299069799978201927583742360321890761754986543214231552 binary64)) (/.f64 (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 c x) s)) (.f64 (.f64 c x) s)) (/.f64 (/.f64 #s(approx (cos ( x 2)) #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 s) c) x)) (.f64 (.f64 (neg.f64 s) c) x)))
(if (<=.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 (.f64 (pow.f64 s #s(literal 2 binary64)) x) x) (pow.f64 c #s(literal 2 binary64)))) #s(literal -8958978968711217/4479489484355608421114884561136888556243290994469299069799978201927583742360321890761754986543214231552 binary64)) (/.f64 (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 x c) s)) (.f64 (.f64 x c) s)) (/.f64 (/.f64 #s(approx (cos ( x 2)) #s(literal 1 binary64)) (.f64 (.f64 s c) x)) (.f64 (.f64 s c) 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 -8958978968711217/4479489484355608421114884561136888556243290994469299069799978201927583742360321890761754986543214231552 binary64)) (/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 x (.f64 c c)) s) (.f64 x s))) (/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 s) c) x)) (.f64 (.f64 (neg.f64 s) c) x)))
(if (<=.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 (.f64 (pow.f64 s #s(literal 2 binary64)) x) x) (pow.f64 c #s(literal 2 binary64)))) #s(literal -8958978968711217/4479489484355608421114884561136888556243290994469299069799978201927583742360321890761754986543214231552 binary64)) (/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 c c) x) s) (.f64 s x))) (/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (.f64 (.f64 s c) x)) (.f64 (.f64 s c) x)))
(if (<=.f64 (pow.f64 c #s(literal 2 binary64)) #s(literal 1568716800937797/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672 binary64)) (/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 s) c) x)) (.f64 (.f64 (neg.f64 s) c) x)) (/.f64 #s(approx (/ (cos (* 2 x)) (* (* c x) s)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x s) c))) (.f64 (.f64 c x) s)))
(if (<=.f64 (pow.f64 c #s(literal 2 binary64)) #s(literal 1568716800937797/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672 binary64)) (/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (.f64 (.f64 s c) x)) (.f64 (.f64 s c) x)) (/.f64 #s(approx (/ (cos (* 2 x)) (* (* c x) s)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 s x) c))) (.f64 (.f64 x c) s)))
(if (<=.f64 (pow.f64 c #s(literal 2 binary64)) #s(literal 1568716800937797/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (* x (* c s)) 2) (cos (* x 2))) (.f64 c (.f64 (.f64 c s) (.f64 (.f64 s x) x))))) (/.f64 #s(approx (/ (cos ( 2 x)) (* (* c x) s)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x s) c))) (.f64 (.f64 c x) s)))
(if (<=.f64 (pow.f64 c #s(literal 2 binary64)) #s(literal 1568716800937797/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (* x (* c s)) 2) (cos (* x 2))) (.f64 (.f64 (.f64 (.f64 s x) x) (.f64 s c)) c))) (/.f64 #s(approx (/ (cos ( 2 x)) (* (* c x) s)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 s x) c))) (.f64 (.f64 x c) s)))
(if (<=.f64 (pow.f64 c #s(literal 2 binary64)) #s(literal 4230758200257591/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (* x (* c s)) 2) (cos (* x 2))) (.f64 c (.f64 (.f64 c s) (.f64 (.f64 s x) x))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow ( x (* c s)) 2) (cos (* x 2))) (.f64 (.f64 (.f64 (.f64 c x) s) c) (*.f64 s x)))))
(if (<=.f64 (pow.f64 c #s(literal 2 binary64)) #s(literal 4230758200257591/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (* x (* c s)) 2) (cos (* x 2))) (.f64 (.f64 (.f64 (.f64 s x) x) (.f64 s c)) c))) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow ( x (* c s)) 2) (cos (* x 2))) (.f64 (.f64 (.f64 (.f64 x c) s) c) (*.f64 s x)))))
(if (<=.f64 (pow.f64 c #s(literal 2 binary64)) #s(literal 1568716800937797/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (* x (* c s)) 2) (cos (* x 2))) (.f64 c (.f64 (.f64 c s) (.f64 (.f64 s x) x))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow ( x (* c s)) 2) (cos (* x 2))) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s)))))
(if (<=.f64 (pow.f64 c #s(literal 2 binary64)) #s(literal 1568716800937797/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (* x (* c s)) 2) (cos (* x 2))) (.f64 (.f64 (.f64 (.f64 s x) x) (.f64 s c)) c))) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow ( x (* c s)) 2) (cos (* x 2))) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (* x (* c s)) 2) (cos (* x 2))) (.f64 c (.f64 (.f64 c s) (.f64 (*.f64 s x) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (* x (* c s)) 2) (cos (* x 2))) (.f64 (.f64 (.f64 (.f64 s x) x) (*.f64 s c)) c)))

soundness1.5s (15.3%)

Memory

17.4MiB live, 629.1MiB allocated

Rules

19 840×	`lower-fma.f64`
19 840×	`lower-fma.f32`
16 468×	`lower-fma.f64`
16 468×	`lower-fma.f32`
13 314×	`lower-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	116	7840
1	333	7827
2	1234	7725
3	3768	7722
0	8044	7674
0	138	8712
1	410	8699
2	1544	8595
3	4547	8592
0	8376	8538
0	56	308
0	89	292
1	289	257
0	1529	257
0	90	7840
1	264	7827
2	999	7727
3	5171	7724
0	8099	7684
0	52	271
0	81	271
1	258	229
2	1302	209
0	8910	209
0	43	213
0	71	207
1	239	170
2	1169	170
0	8303	170
0	12	52
0	20	52
1	55	52
2	217	48
3	1946	42
0	8396	42

Stop Event

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

Compiler

Compiled 2 141 to 981 computations (54.2% saved)

preprocess196.0ms (2%)

Memory: 3.5MiB live, 161.1MiB allocated
Remove: (abs x)
Compiler: Compiled 2 808 to 1 400 computations (50.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze138.0ms (1.4%)

sample1.5s (15%)

explain221.0ms (2.2%)

preprocess51.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify15.0ms (0.1%)

localize43.0ms (0.4%)

series26.0ms (0.3%)

simplify215.0ms (2.2%)

rewrite241.0ms (2.4%)

eval211.0ms (2.1%)

prune54.0ms (0.5%)

simplify103.0ms (1%)

localize169.0ms (1.7%)

series88.0ms (0.9%)

simplify273.0ms (2.7%)

rewrite180.0ms (1.8%)

eval989.0ms (9.9%)

prune173.0ms (1.7%)

simplify157.0ms (1.6%)

localize194.0ms (2%)

series154.0ms (1.5%)

simplify254.0ms (2.6%)

rewrite275.0ms (2.8%)

eval430.0ms (4.3%)

prune231.0ms (2.3%)

simplify95.0ms (1%)

localize163.0ms (1.6%)

series92.0ms (0.9%)

simplify218.0ms (2.2%)

rewrite126.0ms (1.3%)

eval138.0ms (1.4%)

prune161.0ms (1.6%)

regimes213.0ms (2.1%)

regimes162.0ms (1.6%)

regimes152.0ms (1.5%)

regimes123.0ms (1.2%)

regimes13.0ms (0.1%)

regimes29.0ms (0.3%)

regimes59.0ms (0.6%)

regimes16.0ms (0.2%)

regimes6.0ms (0.1%)

regimes16.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify66.0ms (0.7%)

soundness1.5s (15.3%)

preprocess196.0ms (2%)

end0.0ms (0%)

Profiling