Metrics for mixedcos

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze422.0ms (3.6%)

Memory

-127.6MiB live, 168.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample1.9s (16%)

Memory

4.1MiB live, 2 214.0MiB allocated

Samples

1.5s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-pow2: 400.0ms (38.8% of total)

ival-mult: 317.0ms (30.8% of total)

ival-cos: 240.0ms (23.3% of total)

ival-div: 58.0ms (5.6% of total)

ival-true: 7.0ms (0.7% of total)

exact: 6.0ms (0.6% of total)

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

Bogosity

explain210.0ms (1.8%)

Memory

32.1MiB live, 307.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
59	0	-	1	(2.2361230202753744e-190 -5.792500252807748e+117 -4.365169849270835e+30)	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`
20	0	-	1	(-2.4998468932082317e+89 -1.6980224126768378e-287 1.5287234767437507e-160)	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`
11	0	-	1	(-3.0887448009282834e+50 2.273943058750799e-64 3.0148702048129453e-184)	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`
2	1	(2.5900522305012266e+111 -3.9551832652476417e+67 1.55769616504817e-18)	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	118	(-1.2824660809356185e+132 -1.8566784446706618e+71 -6.771336682037951e+265)	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	118	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*uo**	20	0
↳	`(pow.f64 c #s(literal 2 binary64))`	underflow	59
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	overflow	78
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	overflow	66
↳	`(pow.f64 s #s(literal 2 binary64))`	overflow	61
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*ou**	20	0
↳	`(pow.f64 c #s(literal 2 binary64))`	overflow	77
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	underflow	66
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	underflow	55
↳	`(pow.f64 s #s(literal 2 binary64))`	underflow	53
`*.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 x (pow.f64 s #s(literal 2 binary64)))`	*nu**	10	0
`*.f64`	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	*no**	9	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*nu**	8	0
`*.f64`	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	*nu**	7	0
`/.f64`	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`	n/o	3	0
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	overflow	78
↳	`(pow.f64 c #s(literal 2 binary64))`	overflow	77
↳	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	overflow	88
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	overflow	66
↳	`(pow.f64 s #s(literal 2 binary64))`	overflow	61
`*.f64`	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	*no**	3	0

Confusion

	Predicted +	Predicted -
+	75	1
-	90	90

Precision

0.45454545454545453

Recall

0.9868421052631579

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	75	0	1
-	90	0	90

Precision?

0.45454545454545453

Recall?

0.9868421052631579

Freqs

test

number	freq
0	91
1	126
2	35
3	4

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

120.0ms

512×

valid

Compiler

Compiled 132 to 40 computations (69.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 14.0ms (34.9% of total)

ival-cos: 11.0ms (27.5% of total)

ival-pow2: 11.0ms (27.5% of total)

ival-div: 3.0ms (7.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess56.0ms (0.5%)

Memory

5.5MiB live, 80.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs s)

(abs c)

(abs x)

(sort c s)

Compiler

Compiled 16 to 12 computations (25% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))

Compiler

Compiled 16 to 12 computations (25% saved)

simplify13.0ms (0.1%)

Memory

-24.4MiB live, 13.5MiB 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))

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

localize49.0ms (0.4%)

Memory

21.2MiB live, 101.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.3645639052925411	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
accuracy	3.0573892633010926	(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)
accuracy	6.401883933899123	(*.f64 x (pow.f64 s #s(literal 2 binary64)))
accuracy	12.35198133166169	(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))

Samples

40.0ms

256×

valid

Compiler

Compiled 58 to 14 computations (75.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-pow2: 10.0ms (38.5% of total)

ival-mult: 6.0ms (23.1% of total)

ival-cos: 5.0ms (19.2% of total)

ival-div: 4.0ms (15.4% of total)

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

exact: 0.0ms (0% of total)

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

series29.0ms (0.2%)

Memory

0.3MiB live, 77.9MiB 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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Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	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))))
4.0ms	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))))

simplify406.0ms (3.4%)

Memory

-6.4MiB live, 194.7MiB allocated

Algorithm

1×	egg-herbie

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)

rewrite199.0ms (1.7%)

Memory

19.8MiB live, 176.3MiB allocated

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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eval182.0ms (1.5%)

Memory: -2.2MiB live, 229.0MiB allocated
Compiler: Compiled 23 459 to 2 481 computations (89.4% saved)

prune68.0ms (0.6%)

Memory

-36.0MiB live, 109.9MiB allocated

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	825	28	853
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	826	28	854

Accuracy

100.0%

Counts

854 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.5%	(/.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))
	70.9%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 x (.f64 s s))) (.f64 x (*.f64 c c)))
	85.5%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) c) (.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c))
	99.2%	(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) (neg.f64 (pow.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))))
	99.1%	(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64))) (.f64 (pow.f64 (.f64 x (*.f64 c s)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))))
	38.3%	(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x)) (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x)) (.f64 x (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x))) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)))
	21.9%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) (cos.f64 (.f64 x #s(literal 2 binary64))))) (.f64 (neg.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 (neg.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) (cos.f64 (*.f64 x #s(literal 2 binary64))))))
	99.1%	(/.f64 (-.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))))
	91.7%	(/.f64 (.f64 (/.f64 (pow.f64 (.f64 c s) #s(literal -2 binary64)) x) (cos.f64 (*.f64 x #s(literal 2 binary64)))) x)
	72.5%	(/.f64 (.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) c) (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 s #s(literal -2 binary64)))) c)
▶	99.2%	(/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (.f64 x (*.f64 c s)) #s(literal 2 binary64)))
	85.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (*.f64 c s) #s(literal -2 binary64)))))
▶	77.8%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 (*.f64 x s) s) x)))
	85.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) c) c))
	91.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x))
▶	79.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 c c)) (.f64 x s)) s))
	79.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 c c)) s) (.f64 x s)))
	79.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 (.f64 x (.f64 s s)) c)))
	97.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))))
	70.2%	(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))))
▶	86.0%	(.f64 (pow.f64 (.f64 c s) #s(literal -2 binary64)) (pow.f64 (.f64 x (/.f64 x (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
	65.4%	(.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 s s)) (/.f64 (pow.f64 c #s(literal -2 binary64)) (.f64 x x)))
	99.2%	(.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)))))
	86.0%	(.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (.f64 c s) #s(literal -2 binary64))) (cos.f64 (.f64 x #s(literal 2 binary64))))
▶	71.9%	#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)))
	82.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s))
	59.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c)) (*.f64 x x)))
	54.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 x x)))

Compiler

Compiled 1 056 to 750 computations (29% saved)

simplify167.0ms (1.4%)

Memory

0.5MiB live, 72.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 x (/.f64 x (cos.f64 (.f64 x #s(literal 2 binary64)))))
cost-diff	0	(*.f64 c s)
cost-diff	0	(pow.f64 (*.f64 c s) #s(literal -2 binary64))
cost-diff	6464	(pow.f64 (.f64 x (/.f64 x (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal -1 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 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 (*.f64 x s) s) x)))
cost-diff	6144	(pow.f64 c #s(literal 2 binary64))
cost-diff	0	(.f64 (.f64 x (.f64 c c)) (.f64 x s))
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(cos.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff	0	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 c c)) (.f64 x s)) s))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
cost-diff	0	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c)
cost-diff	0	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s)))
cost-diff	0	(pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))
cost-diff	0	(*.f64 x #s(literal 2 binary64))
cost-diff	0	(cos.f64 (*.f64 x #s(literal 2 binary64)))
cost-diff	0	(/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (.f64 x (*.f64 c s)) #s(literal 2 binary64)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	283
0	76	267
1	134	255
2	277	253
3	610	251
4	1033	251
5	1430	251
6	1482	251
7	1498	251
8	1514	251
9	1514	251
10	1986	251
11	2449	251
12	2536	251
13	2536	251
14	2536	251
15	2966	251
16	3028	251
17	3163	251
18	3182	251
19	3182	251
20	3408	251
21	3481	251
22	3481	251
23	3481	251
0	3481	251

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize212.0ms (1.8%)

Memory

30.3MiB live, 299.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.10546875	(/.f64 x (cos.f64 (*.f64 x #s(literal 2 binary64))))
accuracy	0.24580004884221007	(pow.f64 (*.f64 c s) #s(literal -2 binary64))
accuracy	0.33546477745942416	(pow.f64 (.f64 x (/.f64 x (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))
accuracy	8.802724187227142	(.f64 (pow.f64 (.f64 c s) #s(literal -2 binary64)) (pow.f64 (.f64 x (/.f64 x (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
accuracy	0.17578125	(.f64 (.f64 x s) s)
accuracy	0.3645639052925411	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 (*.f64 x s) s) x)))
accuracy	3.0573892633010926	(.f64 (.f64 (*.f64 x s) s) x)
accuracy	12.35198133166169	(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 (.f64 x s) s) x))
accuracy	0.3645639052925411	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 c c)) (.f64 x s)) s))
accuracy	3.835517079665615	(.f64 (.f64 (.f64 x (.f64 c c)) (*.f64 x s)) s)
accuracy	4.667785179757046	(.f64 x (.f64 c c))
accuracy	7.916545039070673	(.f64 (.f64 x (.f64 c c)) (.f64 x s))
accuracy	0.16015625	(.f64 (.f64 s c) s)
accuracy	4.746859999992191	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c)
accuracy	9.678776562085016	(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s))
accuracy	10.064423674288609	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s)))
accuracy	0	(cos.f64 (*.f64 x #s(literal 2 binary64)))
accuracy	0.189785009768442	(pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))
accuracy	0.3645639052925411	(/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (.f64 x (*.f64 c s)) #s(literal 2 binary64)))
accuracy	2.0162270316728548	(.f64 x (.f64 c s))

Samples

131.0ms

256×

valid

Compiler

Compiled 271 to 44 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

ival-mult: 37.0ms (37.8% of total)

ival-pow: 25.0ms (25.5% of total)

ival-div: 13.0ms (13.3% of total)

ival-pow2: 12.0ms (12.3% of total)

ival-cos: 10.0ms (10.2% of total)

exact: 1.0ms (1% of total)

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

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

series81.0ms (0.7%)

Memory

-16.9MiB live, 176.7MiB allocated

Counts

28 → 684

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	c	@	0	((/ (cos (* x 2)) (pow (* x (* c s)) 2)) (cos (* x 2)) (* x 2) (pow (* x (* c s)) 2) (/ (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)) (* x s)) s)) (cos (* 2 x)) (* 2 x) (* (* x (* c c)) (* x s)) (pow c 2) (/ (cos (* 2 x)) (* (pow c 2) (* (* (* x s) s) x))) (pow (* x (/ x (cos (* x 2)))) -1) (pow (* c s) -2) (* c s) (* x (/ x (cos (* x 2)))) (* x (* c s)) (/ (/ (/ (/ 1 x) x) c) (* (* s c) s)) (* (* s c) s) (* x (* c c)) (* (* (* x (* c c)) (* x s)) s) (* (pow c 2) (* (* (* x s) s) x)) (* (* (* x s) s) x) (* (* x s) s) (* (pow (* c s) -2) (pow (* x (/ x (cos (* x 2)))) -1)) (/ x (cos (* x 2))))
8.0ms	x	@	-inf	((/ (cos (* x 2)) (pow (* x (* c s)) 2)) (cos (* x 2)) (* x 2) (pow (* x (* c s)) 2) (/ (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)) (* x s)) s)) (cos (* 2 x)) (* 2 x) (* (* x (* c c)) (* x s)) (pow c 2) (/ (cos (* 2 x)) (* (pow c 2) (* (* (* x s) s) x))) (pow (* x (/ x (cos (* x 2)))) -1) (pow (* c s) -2) (* c s) (* x (/ x (cos (* x 2)))) (* x (* c s)) (/ (/ (/ (/ 1 x) x) c) (* (* s c) s)) (* (* s c) s) (* x (* c c)) (* (* (* x (* c c)) (* x s)) s) (* (pow c 2) (* (* (* x s) s) x)) (* (* (* x s) s) x) (* (* x s) s) (* (pow (* c s) -2) (pow (* x (/ x (cos (* x 2)))) -1)) (/ x (cos (* x 2))))
6.0ms	s	@	0	((/ (cos (* x 2)) (pow (* x (* c s)) 2)) (cos (* x 2)) (* x 2) (pow (* x (* c s)) 2) (/ (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)) (* x s)) s)) (cos (* 2 x)) (* 2 x) (* (* x (* c c)) (* x s)) (pow c 2) (/ (cos (* 2 x)) (* (pow c 2) (* (* (* x s) s) x))) (pow (* x (/ x (cos (* x 2)))) -1) (pow (* c s) -2) (* c s) (* x (/ x (cos (* x 2)))) (* x (* c s)) (/ (/ (/ (/ 1 x) x) c) (* (* s c) s)) (* (* s c) s) (* x (* c c)) (* (* (* x (* c c)) (* x s)) s) (* (pow c 2) (* (* (* x s) s) x)) (* (* (* x s) s) x) (* (* x s) s) (* (pow (* c s) -2) (pow (* x (/ x (cos (* x 2)))) -1)) (/ x (cos (* x 2))))
6.0ms	x	@	0	((/ (cos (* x 2)) (pow (* x (* c s)) 2)) (cos (* x 2)) (* x 2) (pow (* x (* c s)) 2) (/ (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)) (* x s)) s)) (cos (* 2 x)) (* 2 x) (* (* x (* c c)) (* x s)) (pow c 2) (/ (cos (* 2 x)) (* (pow c 2) (* (* (* x s) s) x))) (pow (* x (/ x (cos (* x 2)))) -1) (pow (* c s) -2) (* c s) (* x (/ x (cos (* x 2)))) (* x (* c s)) (/ (/ (/ (/ 1 x) x) c) (* (* s c) s)) (* (* s c) s) (* x (* c c)) (* (* (* x (* c c)) (* x s)) s) (* (pow c 2) (* (* (* x s) s) x)) (* (* (* x s) s) x) (* (* x s) s) (* (pow (* c s) -2) (pow (* x (/ x (cos (* x 2)))) -1)) (/ x (cos (* x 2))))
4.0ms	x	@	inf	((/ (cos (* x 2)) (pow (* x (* c s)) 2)) (cos (* x 2)) (* x 2) (pow (* x (* c s)) 2) (/ (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)) (* x s)) s)) (cos (* 2 x)) (* 2 x) (* (* x (* c c)) (* x s)) (pow c 2) (/ (cos (* 2 x)) (* (pow c 2) (* (* (* x s) s) x))) (pow (* x (/ x (cos (* x 2)))) -1) (pow (* c s) -2) (* c s) (* x (/ x (cos (* x 2)))) (* x (* c s)) (/ (/ (/ (/ 1 x) x) c) (* (* s c) s)) (* (* s c) s) (* x (* c c)) (* (* (* x (* c c)) (* x s)) s) (* (pow c 2) (* (* (* x s) s) x)) (* (* (* x s) s) x) (* (* x s) s) (* (pow (* c s) -2) (pow (* x (/ x (cos (* x 2)))) -1)) (/ x (cos (* x 2))))

simplify279.0ms (2.3%)

Memory

18.9MiB live, 343.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	7064
1	228	7064
2	692	6982
3	2869	6932
4	4958	6892
0	8238	6832

Stop Event

1×	iter limit
1×	node limit

Counts

684 → 683

Calls

Call 1

Inputs
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
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(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* (pow c 2) (* s (pow x 2)))
(* (pow c 2) (* s (pow x 2)))
(* (pow c 2) (* s (pow x 2)))
(* (pow c 2) (* s (pow x 2)))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ 1 (pow x 2))
(/ (+ 1 (* -2 (pow x 2))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2 (* 10/3 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2 (* (pow x 2) (+ 10/3 (* 244/45 (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))))
(/ 1 (* (pow c 2) (* (pow s 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) (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)))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
x
(* x (+ 1 (* 2 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 2 (* 10/3 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 2 (* (pow x 2) (+ 10/3 (* 244/45 (pow x 2))))))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(* 2 x)
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(* (pow c 2) (* s (pow x 2)))
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(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
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(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (pow x 2))
(/ (cos (* 2 x)) (pow x 2))
(/ (cos (* 2 x)) (pow x 2))
(/ (cos (* 2 x)) (pow x 2))
(/ (pow x 2) (cos (* 2 x)))
(/ (pow x 2) (cos (* 2 x)))
(/ (pow x 2) (cos (* 2 x)))
(/ (pow x 2) (cos (* 2 x)))
(* 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))))
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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))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(* 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))))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
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(/ 1 (pow x 2))
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(/ 1 x)
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(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(* 2 x)
(* 2 x)
(* 2 x)
(* 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)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (pow x 2))
(/ (cos (* 2 x)) (pow x 2))
(/ (cos (* 2 x)) (pow x 2))
(/ (cos (* 2 x)) (pow x 2))
(/ (pow x 2) (cos (* 2 x)))
(/ (pow x 2) (cos (* 2 x)))
(/ (pow x 2) (cos (* 2 x)))
(/ (pow x 2) (cos (* 2 x)))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) x)
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(* (pow c 2) (* (pow s 2) (pow x 2)))
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(* (pow c 2) (* (pow s 2) (pow x 2)))
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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)))
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(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
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(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
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(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) (* s (pow x 2)))
(* (pow c 2) (* s (pow x 2)))
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(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
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(* c s)
(* c s)
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(* 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))))
(* c (pow s 2))
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(/ (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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(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) (* s (pow x 2)))
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(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
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(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
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(/ 1 (* (pow c 2) (pow s 2)))
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(* c s)
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(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
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(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (pow s 2)))
(/ 1 (* (pow c 2) (pow s 2)))
(/ 1 (* (pow c 2) (pow s 2)))
(/ 1 (* (pow c 2) (pow s 2)))
(* c s)
(* c s)
(* c s)
(* c s)
(* 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))))
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(* (pow s 2) x)
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(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (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)))
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(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) (* s (pow x 2)))
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(* (pow c 2) (* s (pow x 2)))
(* (pow c 2) (* s (pow x 2)))
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (pow s 2)))
(/ 1 (* (pow c 2) (pow s 2)))
(/ 1 (* (pow c 2) (pow s 2)))
(/ 1 (* (pow c 2) (pow s 2)))
(* c s)
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(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
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(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (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))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
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(pow c 2)
(pow c 2)
(pow c 2)
(pow c 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))))
(/ 1 (* (pow c 2) (pow s 2)))
(/ 1 (* (pow c 2) (pow s 2)))
(/ 1 (* (pow c 2) (pow s 2)))
(/ 1 (* (pow c 2) (pow s 2)))
(* c s)
(* c s)
(* c s)
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(* c (* s x))
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(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
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(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
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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)
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(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (pow s 2)))
(/ 1 (* (pow c 2) (pow s 2)))
(/ 1 (* (pow c 2) (pow s 2)))
(/ 1 (* (pow c 2) (pow s 2)))
(* c s)
(* c s)
(* c s)
(* c s)
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
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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)))
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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))))

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

rewrite182.0ms (1.5%)

Memory

-12.8MiB live, 400.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	232
0	76	212
1	239	188
2	1052	186
0	8597	186

Stop Event

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

Counts

28 → 2 894

Calls

Call 1

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

Outputs
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eval793.0ms (6.7%)

Memory: 21.4MiB live, 781.2MiB allocated
Compiler: Compiled 74 191 to 4 767 computations (93.6% saved)

prune241.0ms (2%)

Memory

13.9MiB live, 364.0MiB allocated

Pruning

50 alts after pruning (50 fresh and 0 done)

	Pruned	Kept	Total
New	3 757	46	3 803
Fresh	19	4	23
Picked	5	0	5
Done	0	0	0
Total	3 781	50	3 831

Accuracy

100.0%

Counts

3 831 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.9%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 x (.f64 s s))) (.f64 x (*.f64 c c)))
▶	99.6%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 s c) x)) (.f64 (*.f64 s c) x))
	79.4%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c x) c)) (.f64 (*.f64 s x) s))
	91.7%	(/.f64 (.f64 (pow.f64 (.f64 s c) #s(literal -2 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) x)) x)
	93.4%	(/.f64 (.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 s x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 s c) x) c))
	79.9%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 x (.f64 c c)) (*.f64 x s)) s))
	85.1%	(/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 (.f64 (.f64 x x) s) c) (.f64 s c)))
	99.2%	(/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 (.f64 s c) x) (.f64 (.f64 s c) x)))
	89.2%	(/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 c x) (.f64 x (.f64 (.f64 s c) s))))
	92.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 (.f64 s c) x) c) x) s))
	93.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 s c) x) (.f64 c x)) s))
	79.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 (.f64 x (.f64 s s)) c)))
	97.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))))
	68.6%	(/.f64 #s(approx (cos (* x 2)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (pow.f64 (.f64 x (*.f64 c s)) #s(literal 2 binary64)))
	53.5%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 x (.f64 c c)) (*.f64 x s)) s))
	59.4%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 x (.f64 c c)) (.f64 x s)) s))
▶	71.3%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x (.f64 c c)) (*.f64 x s)) s))
	76.3%	(.f64 (pow.f64 (.f64 c s) #s(literal -2 binary64)) #s(approx (pow (* x (/ x (cos (* x 2)))) -1) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
	66.1%	#s(approx (/ (cos (* x 2)) (pow (* x (* c s)) 2)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (*.f64 c c)) x)) s) s))
	50.3%	#s(approx (/ (cos (* x 2)) (pow (* x (* c s)) 2)) (/.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 s s)) c) c)) (.f64 x x)))
	45.2%	#s(approx (/ (cos (* x 2)) (pow (* x (* c s)) 2)) (/.f64 (.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 s s)) c) 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)))
	84.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (.f64 (.f64 s c) x) #s(literal -2 binary64)))
	73.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 s x) #s(literal -2 binary64)) (.f64 c c)))
	77.4%	#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 x x) s) c)))
	66.9%	#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 (*.f64 s s) (sqrt.f64 c)) (sqrt.f64 c))))
	71.9%	#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 (*.f64 s c) (sqrt.f64 s)) (sqrt.f64 s))))
	68.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (.f64 (.f64 (*.f64 (neg.f64 s) s) c) x)))
▶	76.4%	#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))))
	71.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) c) (.f64 (*.f64 s c) s)))
	79.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c)) (neg.f64 c)))
	69.7%	#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)))
	72.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) (.f64 c (.f64 (neg.f64 x) x))))
	72.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) (.f64 c x))) (.f64 (.f64 s c) s)))
	69.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (.f64 (.f64 (neg.f64 s) s) c) (.f64 c x))))
	76.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (.f64 (neg.f64 x) c) (.f64 (.f64 s c) s))))
	66.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) c) (.f64 (.f64 (.f64 (neg.f64 s) s) c) (.f64 x x))))
	74.7%	#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))))
▶	59.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c)) (*.f64 x x)))
	76.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (.f64 c x)))
	81.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (neg.f64 (pow.f64 (.f64 (.f64 s c) x) #s(literal -1 binary64))) (.f64 (.f64 (neg.f64 x) c) s)))
	71.9%	#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)))
▶	79.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (pow.f64 (*.f64 s c) #s(literal -2 binary64)) x))))
	67.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 (neg.f64 x) x)) (.f64 (*.f64 (neg.f64 s) s) c))))
	72.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 c (.f64 (neg.f64 x) x)) (.f64 (*.f64 s c) s))))
	84.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 s c)) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 s c))))
	72.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) s) (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (*.f64 c c) s))))
	80.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 s c) x) c)) (/.f64 (/.f64 #s(literal -1 binary64) x) s)))
	72.4%	#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 #s(literal -1 binary64) x) (.f64 s x))))
	70.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 c c)) (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (.f64 s x) s))))
	76.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (.f64 (.f64 s x) s) c))))

Compiler

Compiled 1 582 to 1 196 computations (24.4% saved)

simplify217.0ms (1.8%)

Memory

-21.5MiB live, 201.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (pow.f64 (*.f64 s c) #s(literal -2 binary64)) x)
cost-diff	0	(/.f64 x (/.f64 (pow.f64 (*.f64 s c) #s(literal -2 binary64)) x))
cost-diff	0	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (pow.f64 (*.f64 s c) #s(literal -2 binary64)) x))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (pow.f64 (*.f64 s c) #s(literal -2 binary64)) x)))
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (fma.f64 (.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)))
cost-diff	320	(.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))
cost-diff	384	(/.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))
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 x (.f64 c c))
cost-diff	0	(.f64 (.f64 x (.f64 c c)) (.f64 x s))
cost-diff	0	(.f64 (.f64 (.f64 x (.f64 c c)) (*.f64 x s)) s)
cost-diff	0	#s(approx (cos (* 2 x)) #s(literal 1 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 s c) x))
cost-diff	0	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 s c) x)) (.f64 (*.f64 s c) x))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	358
0	81	358
1	156	358
2	390	354
3	1167	346
4	2634	346
5	4225	346
6	7788	346
0	8608	346

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

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

localize168.0ms (1.4%)

Memory

28.8MiB live, 264.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.38422027432879596	(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (pow.f64 (*.f64 s c) #s(literal -2 binary64)) x)))
accuracy	2.3178294447278867	(/.f64 x (/.f64 (pow.f64 (*.f64 s c) #s(literal -2 binary64)) x))
accuracy	3.0554186778177472	(/.f64 (pow.f64 (*.f64 s c) #s(literal -2 binary64)) x)
accuracy	10.064423674288609	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (pow.f64 (*.f64 s c) #s(literal -2 binary64)) x))))
accuracy	2.6960323407623243	(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c)
accuracy	6.020860790150691	(.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))
accuracy	15.419923098636136	(/.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))
accuracy	17.63310158353393	#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)))
accuracy	0.4637029264926359	(/.f64 (/.f64 #s(literal -1 binary64) c) x)
accuracy	3.8841361191168864	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (.f64 (.f64 (*.f64 s c) s) (neg.f64 x)))
accuracy	4.11057847716492	(.f64 (.f64 (*.f64 s c) s) (neg.f64 x))
accuracy	10.064423674288609	#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	3.835517079665615	(.f64 (.f64 (.f64 x (.f64 c c)) (*.f64 x s)) s)
accuracy	4.667785179757046	(.f64 x (.f64 c c))
accuracy	7.916545039070673	(.f64 (.f64 x (.f64 c c)) (.f64 x s))
accuracy	26.57142661459983	#s(approx (cos (* 2 x)) #s(literal 1 binary64))
accuracy	0	(cos.f64 (*.f64 #s(literal 2 binary64) x))
accuracy	0.14453125	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 s c) x)) (.f64 (*.f64 s c) x))
accuracy	0.6718128580983922	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (*.f64 s c) x))
accuracy	2.0162270316728548	(.f64 (.f64 s c) x)

Samples

130.0ms

256×

valid

Compiler

Compiled 311 to 46 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 108.0ms

ival-div: 47.0ms (43.4% of total)

ival-pow2: 25.0ms (23.1% of total)

ival-mult: 23.0ms (21.2% of total)

ival-cos: 7.0ms (6.5% of total)

ival-pow: 3.0ms (2.8% of total)

ival-add: 1.0ms (0.9% of total)

exact: 1.0ms (0.9% of total)

ival-neg: 1.0ms (0.9% of total)

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

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

series123.0ms (1%)

Memory

-28.1MiB live, 347.8MiB allocated

Counts

23 → 672

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
16.0ms	s	@	inf	((/ (/ (cos (* 2 x)) (* (* s c) x)) (* (* s c) x)) (/ (cos (* 2 x)) (* (* s c) x)) (cos (* 2 x)) (* 2 x) (cos (* 2 x)) (* (* (* x (* c c)) (* x s)) s) (* (* x (* c c)) (* x s)) (* x (* c c)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ -1 c) x) (/ -1 c) (* (* (* s c) s) (neg x)) (/ (* (+ (* (* x x) -2) 1) (/ (/ (/ (/ 1 s) c) s) c)) (* x x)) (* (+ (* (* x x) -2) 1) (/ (/ (/ (/ 1 s) c) s) c)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* (* x x) -2) 1) (/ 1 (/ x (/ (pow (* s c) -2) x))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ x (/ (pow (* s c) -2) x)) (/ (pow (* s c) -2) x) (* (* s c) x) (/ (/ (/ -1 c) x) (* (* (* s c) s) (neg x))) (/ (/ (/ (/ 1 s) c) s) c))
12.0ms	s	@	-inf	((/ (/ (cos (* 2 x)) (* (* s c) x)) (* (* s c) x)) (/ (cos (* 2 x)) (* (* s c) x)) (cos (* 2 x)) (* 2 x) (cos (* 2 x)) (* (* (* x (* c c)) (* x s)) s) (* (* x (* c c)) (* x s)) (* x (* c c)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ -1 c) x) (/ -1 c) (* (* (* s c) s) (neg x)) (/ (* (+ (* (* x x) -2) 1) (/ (/ (/ (/ 1 s) c) s) c)) (* x x)) (* (+ (* (* x x) -2) 1) (/ (/ (/ (/ 1 s) c) s) c)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* (* x x) -2) 1) (/ 1 (/ x (/ (pow (* s c) -2) x))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ x (/ (pow (* s c) -2) x)) (/ (pow (* s c) -2) x) (* (* s c) x) (/ (/ (/ -1 c) x) (* (* (* s c) s) (neg x))) (/ (/ (/ (/ 1 s) c) s) c))
10.0ms	x	@	-inf	((/ (/ (cos (* 2 x)) (* (* s c) x)) (* (* s c) x)) (/ (cos (* 2 x)) (* (* s c) x)) (cos (* 2 x)) (* 2 x) (cos (* 2 x)) (* (* (* x (* c c)) (* x s)) s) (* (* x (* c c)) (* x s)) (* x (* c c)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ -1 c) x) (/ -1 c) (* (* (* s c) s) (neg x)) (/ (* (+ (* (* x x) -2) 1) (/ (/ (/ (/ 1 s) c) s) c)) (* x x)) (* (+ (* (* x x) -2) 1) (/ (/ (/ (/ 1 s) c) s) c)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* (* x x) -2) 1) (/ 1 (/ x (/ (pow (* s c) -2) x))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ x (/ (pow (* s c) -2) x)) (/ (pow (* s c) -2) x) (* (* s c) x) (/ (/ (/ -1 c) x) (* (* (* s c) s) (neg x))) (/ (/ (/ (/ 1 s) c) s) c))
8.0ms	x	@	0	((/ (/ (cos (* 2 x)) (* (* s c) x)) (* (* s c) x)) (/ (cos (* 2 x)) (* (* s c) x)) (cos (* 2 x)) (* 2 x) (cos (* 2 x)) (* (* (* x (* c c)) (* x s)) s) (* (* x (* c c)) (* x s)) (* x (* c c)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ -1 c) x) (/ -1 c) (* (* (* s c) s) (neg x)) (/ (* (+ (* (* x x) -2) 1) (/ (/ (/ (/ 1 s) c) s) c)) (* x x)) (* (+ (* (* x x) -2) 1) (/ (/ (/ (/ 1 s) c) s) c)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* (* x x) -2) 1) (/ 1 (/ x (/ (pow (* s c) -2) x))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ x (/ (pow (* s c) -2) x)) (/ (pow (* s c) -2) x) (* (* s c) x) (/ (/ (/ -1 c) x) (* (* (* s c) s) (neg x))) (/ (/ (/ (/ 1 s) c) s) c))
7.0ms	c	@	inf	((/ (/ (cos (* 2 x)) (* (* s c) x)) (* (* s c) x)) (/ (cos (* 2 x)) (* (* s c) x)) (cos (* 2 x)) (* 2 x) (cos (* 2 x)) (* (* (* x (* c c)) (* x s)) s) (* (* x (* c c)) (* x s)) (* x (* c c)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ -1 c) x) (/ -1 c) (* (* (* s c) s) (neg x)) (/ (* (+ (* (* x x) -2) 1) (/ (/ (/ (/ 1 s) c) s) c)) (* x x)) (* (+ (* (* x x) -2) 1) (/ (/ (/ (/ 1 s) c) s) c)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* (* x x) -2) 1) (/ 1 (/ x (/ (pow (* s c) -2) x))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ x (/ (pow (* s c) -2) x)) (/ (pow (* s c) -2) x) (* (* s c) x) (/ (/ (/ -1 c) x) (* (* (* s c) s) (neg x))) (/ (/ (/ (/ 1 s) c) s) c))

simplify228.0ms (1.9%)

Memory

21.2MiB live, 361.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	8378
1	227	8378
2	729	8316
3	2728	7876
4	4919	7580
0	8883	7500

Stop Event

1×	iter limit
1×	node limit

Counts

672 → 672

Calls

Call 1

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

rewrite201.0ms (1.7%)

Memory

-28.4MiB live, 337.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	273
0	79	281
1	273	237
2	1742	207
0	8531	207

Stop Event

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

Counts

23 → 1 852

Calls

Call 1

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

Outputs
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eval301.0ms (2.5%)

Memory: 35.9MiB live, 546.5MiB allocated
Compiler: Compiled 54 009 to 5 098 computations (90.6% saved)

prune137.0ms (1.2%)

Memory

-21.9MiB live, 297.7MiB allocated

Pruning

51 alts after pruning (51 fresh and 0 done)

	Pruned	Kept	Total
New	2 551	32	2 583
Fresh	26	19	45
Picked	5	0	5
Done	0	0	0
Total	2 582	51	2 633

Accuracy

100.0%

Counts

2 633 → 51

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c s)) x) (.f64 (.f64 s c) x))
	99.6%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 s c) x)) (.f64 (.f64 s c) x))
	70.9%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 x (.f64 s s))) (.f64 x (*.f64 c c)))
	97.7%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 s x) c)) (.f64 (*.f64 s c) x))
	79.4%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c x) c)) (.f64 (*.f64 s x) s))
	62.0%	(/.f64 (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 s c) x)) (.f64 (.f64 s c) x))
	67.2%	(/.f64 (/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 s c) x)) (.f64 (*.f64 s c) x))
	93.4%	(/.f64 (.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 s x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 s c) x) c))
	79.9%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 x (.f64 c c)) (*.f64 x s)) s))
	99.2%	(/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 (.f64 s c) x) (.f64 (.f64 s c) x)))
	89.2%	(/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 c x) (.f64 x (.f64 (.f64 s c) s))))
	92.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 (.f64 s c) x) c) x) s))
	93.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 s c) x) (.f64 c x)) s))
	79.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 (.f64 x (.f64 s s)) c)))
	97.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))))
	84.0%	(/.f64 #s(approx (/ (cos (* 2 x)) (* (* s c) x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x s) c))) (.f64 (.f64 s c) x))
	53.5%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 x (.f64 c c)) (*.f64 x s)) s))
	59.4%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 x (.f64 c c)) (.f64 x s)) s))
	72.2%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 s x) x) (*.f64 c c)) s))
	78.6%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c x) (sqrt.f64 s)) (.f64 (.f64 c x) (sqrt.f64 s))) s))
	73.4%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c x) c) (*.f64 x s)) s))
	83.2%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c s) x) x) (*.f64 c s)))
	76.8%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c s) s) x) (*.f64 c x)))
	84.0%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c s) x) (.f64 (*.f64 c s) x)))
	80.5%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 c (.f64 (neg.f64 s) c)) (.f64 (*.f64 (neg.f64 s) x) x)))
	69.2%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 c x) (.f64 c (.f64 (*.f64 s s) x))))
	82.1%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 c s) (/.f64 (.f64 (.f64 (neg.f64 s) x) x) (/.f64 #s(literal -1 binary64) c))))
	75.1%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 c s) (.f64 s (.f64 x (*.f64 c x)))))
	72.8%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 #s(approx ( (* x (* c c)) (* x s)) (.f64 (.f64 (.f64 x x) c) (.f64 s c))) s))
	69.9%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 x (.f64 (.f64 (.f64 (*.f64 c c) x) s) s)))
	82.5%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 x (.f64 (.f64 c s) (.f64 (*.f64 c s) x))))
▶	72.1%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (* (* x (* c c)) (* x s)) s) (.f64 (.f64 (.f64 x x) c) (.f64 (*.f64 s c) s))))
	63.9%	#s(approx (/ (/ (cos (* 2 x)) (* (* s c) x)) (* (* s c) x)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 s c) c) s)))
	59.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 c s)) (.f64 c s)) (.f64 x x)))
	71.9%	#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 (*.f64 s c) (sqrt.f64 s)) (sqrt.f64 s))))
▶	76.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) c) (.f64 (.f64 (*.f64 s c) s) (neg.f64 x))))
	79.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (.f64 (.f64 (*.f64 (neg.f64 s) c) x) s)))
	79.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) #s(approx (* (* (* s c) s) (neg x)) (.f64 (.f64 (*.f64 (neg.f64 s) x) c) s))))
	71.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) c) (.f64 (*.f64 s c) s)))
	72.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 c x))) (.f64 (.f64 c s) s)))
	76.8%	#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))))
	76.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (.f64 (neg.f64 x) c) (.f64 (.f64 s c) s))))
	66.7%	#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))))
	76.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (.f64 c x)))
	67.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 c x)))) (.f64 (.f64 s (neg.f64 s)) c)))
▶	78.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (*.f64 c s)) (neg.f64 s)))))
▶	77.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 c s) s) x) x) c))))
	73.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) s) c) (/.f64 (/.f64 #s(literal -1 binary64) s) (.f64 (*.f64 x x) c))))
	70.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 c c)) (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (.f64 s x) s))))
	76.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (.f64 (.f64 s x) s) c))))
	32.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (* (+ (* (* x x) -2) 1) (/ (/ (/ (/ 1 s) c) s) c)) (* x x)) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) c) c)))

Compiler

Compiled 1 630 to 1 206 computations (26% saved)

simplify154.0ms (1.3%)

Memory

9.9MiB live, 120.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (*.f64 c s)) (neg.f64 s))))
cost-diff	0	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (*.f64 c s)) (neg.f64 s)))))
cost-diff	512	(/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (*.f64 c s)) (neg.f64 s))
cost-diff	1856	(/.f64 x (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (*.f64 c s)) (neg.f64 s)))
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	0	(/.f64 (/.f64 #s(literal -1 binary64) x) c)
cost-diff	0	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) c) (.f64 (.f64 (*.f64 s c) s) (neg.f64 x))))
cost-diff	896	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) c) (.f64 (.f64 (*.f64 s c) s) (neg.f64 x)))
cost-diff	0	(.f64 (.f64 (.f64 (.f64 (*.f64 c s) s) x) x) c)
cost-diff	0	(neg.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 c s) s) x) x) c))
cost-diff	0	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 c s) s) x) x) c))))
cost-diff	128	(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 c s) s) x) x) c)))
cost-diff	0	(.f64 (.f64 (.f64 x x) c) (.f64 (*.f64 s c) s))
cost-diff	0	#s(approx (* (* (* x (* c c)) (* x s)) s) (.f64 (.f64 (.f64 x x) c) (.f64 (*.f64 s c) s)))
cost-diff	0	#s(approx (cos (* 2 x)) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (* (* x (* c c)) (* x s)) s) (.f64 (.f64 (.f64 x x) c) (.f64 (*.f64 s c) s))))
cost-diff	0	(cos.f64 (*.f64 x #s(literal 2 binary64)))
cost-diff	0	(/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c s))
cost-diff	0	(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c s)) x) (.f64 (.f64 s c) x))
cost-diff	384	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c s)) x)

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	55	419
0	86	412
1	187	406
2	511	405
3	1732	405
4	3853	405
5	6050	405
0	8081	405

Stop Event

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

Calls

Call 1

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

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

localize184.0ms (1.6%)

Memory

9.3MiB live, 165.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.1775343296803367	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (*.f64 c s))
accuracy	2.3178294447278867	(/.f64 x (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (*.f64 c s)) (neg.f64 s)))
accuracy	5.269315455644171	(/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (*.f64 c s)) (neg.f64 s))
accuracy	10.064423674288609	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (*.f64 c s)) (neg.f64 s)))))
accuracy	0.25	(/.f64 (/.f64 #s(literal -1 binary64) x) c)
accuracy	3.8841361191168864	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) c) (.f64 (.f64 (*.f64 s c) s) (neg.f64 x)))
accuracy	4.11057847716492	(.f64 (.f64 (*.f64 s c) s) (neg.f64 x))
accuracy	10.064423674288609	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) c) (.f64 (.f64 (*.f64 s c) s) (neg.f64 x))))
accuracy	1.992803960430852	(.f64 (.f64 (.f64 (.f64 c s) s) x) x)
accuracy	3.343272684548669	(.f64 (.f64 (.f64 (.f64 (*.f64 c s) s) x) x) c)
accuracy	4.11057847716492	(.f64 (.f64 (*.f64 c s) s) x)
accuracy	10.064423674288609	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 c s) s) x) x) c))))
accuracy	0.3645639052925411	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (* (* x (* c c)) (* x s)) s) (.f64 (.f64 (.f64 x x) c) (.f64 (*.f64 s c) s))))
accuracy	4.795478013859768	(.f64 (.f64 x x) c)
accuracy	9.219851354235281	(.f64 (.f64 (.f64 x x) c) (.f64 (*.f64 s c) s))
accuracy	26.57142661459983	#s(approx (cos (* 2 x)) #s(literal 1 binary64))
accuracy	0.14453125	(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c s)) x) (.f64 (.f64 s c) x))
accuracy	0.250779970097017	(/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c s))
accuracy	2.0162270316728548	(.f64 (.f64 s c) x)
accuracy	2.114663012532129	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c s)) x)

Samples

110.0ms

256×

valid

Compiler

Compiled 346 to 52 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-mult: 33.0ms (44.7% of total)

ival-div: 22.0ms (29.8% of total)

ival-cos: 10.0ms (13.6% of total)

ival-pow2: 4.0ms (5.4% of total)

ival-neg: 3.0ms (4.1% of total)

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

exact: 0.0ms (0% of total)

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

series103.0ms (0.9%)

Memory

-8.8MiB live, 96.9MiB allocated

Counts

26 → 840

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
33.0ms	s	@	inf	((/ (/ (cos (* x 2)) (* c s)) x) (/ (/ (/ (cos (* x 2)) (* c s)) x) (* (* s c) x)) (/ (cos (* x 2)) (* c s)) (cos (* x 2)) (/ (cos (* 2 x)) (* (* (* x (* c c)) (* x s)) s)) (cos (* 2 x)) (* (* (* x (* c c)) (* x s)) s) (* (* (* x x) c) (* (* s c) s)) (/ -1 (neg (* (* (* (* (* c s) s) x) x) c))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (neg (* (* (* (* (* c s) s) x) x) c)) (* (* (* (* (* c s) s) x) x) c) (/ (/ (/ -1 x) c) (* (* (* s c) s) (neg x))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ -1 x) c) (/ -1 x) (/ x (/ (/ (/ (/ -1 c) x) (* c s)) (neg s))) (/ (/ (/ (/ -1 c) x) (* c s)) (neg s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (/ x (/ (/ (/ (/ -1 c) x) (* c s)) (neg s)))) (* (* s c) x) (* (* x x) c) (* (* (* c s) s) x) (* (* (* (* c s) s) x) x) (* (* (* s c) s) (neg x)) (/ (/ (/ -1 c) x) (* c s)))
5.0ms	c	@	-inf	((/ (/ (cos (* x 2)) (* c s)) x) (/ (/ (/ (cos (* x 2)) (* c s)) x) (* (* s c) x)) (/ (cos (* x 2)) (* c s)) (cos (* x 2)) (/ (cos (* 2 x)) (* (* (* x (* c c)) (* x s)) s)) (cos (* 2 x)) (* (* (* x (* c c)) (* x s)) s) (* (* (* x x) c) (* (* s c) s)) (/ -1 (neg (* (* (* (* (* c s) s) x) x) c))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (neg (* (* (* (* (* c s) s) x) x) c)) (* (* (* (* (* c s) s) x) x) c) (/ (/ (/ -1 x) c) (* (* (* s c) s) (neg x))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ -1 x) c) (/ -1 x) (/ x (/ (/ (/ (/ -1 c) x) (* c s)) (neg s))) (/ (/ (/ (/ -1 c) x) (* c s)) (neg s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (/ x (/ (/ (/ (/ -1 c) x) (* c s)) (neg s)))) (* (* s c) x) (* (* x x) c) (* (* (* c s) s) x) (* (* (* (* c s) s) x) x) (* (* (* s c) s) (neg x)) (/ (/ (/ -1 c) x) (* c s)))
5.0ms	c	@	0	((/ (/ (cos (* x 2)) (* c s)) x) (/ (/ (/ (cos (* x 2)) (* c s)) x) (* (* s c) x)) (/ (cos (* x 2)) (* c s)) (cos (* x 2)) (/ (cos (* 2 x)) (* (* (* x (* c c)) (* x s)) s)) (cos (* 2 x)) (* (* (* x (* c c)) (* x s)) s) (* (* (* x x) c) (* (* s c) s)) (/ -1 (neg (* (* (* (* (* c s) s) x) x) c))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (neg (* (* (* (* (* c s) s) x) x) c)) (* (* (* (* (* c s) s) x) x) c) (/ (/ (/ -1 x) c) (* (* (* s c) s) (neg x))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ -1 x) c) (/ -1 x) (/ x (/ (/ (/ (/ -1 c) x) (* c s)) (neg s))) (/ (/ (/ (/ -1 c) x) (* c s)) (neg s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (/ x (/ (/ (/ (/ -1 c) x) (* c s)) (neg s)))) (* (* s c) x) (* (* x x) c) (* (* (* c s) s) x) (* (* (* (* c s) s) x) x) (* (* (* s c) s) (neg x)) (/ (/ (/ -1 c) x) (* c s)))
5.0ms	c	@	inf	((/ (/ (cos (* x 2)) (* c s)) x) (/ (/ (/ (cos (* x 2)) (* c s)) x) (* (* s c) x)) (/ (cos (* x 2)) (* c s)) (cos (* x 2)) (/ (cos (* 2 x)) (* (* (* x (* c c)) (* x s)) s)) (cos (* 2 x)) (* (* (* x (* c c)) (* x s)) s) (* (* (* x x) c) (* (* s c) s)) (/ -1 (neg (* (* (* (* (* c s) s) x) x) c))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (neg (* (* (* (* (* c s) s) x) x) c)) (* (* (* (* (* c s) s) x) x) c) (/ (/ (/ -1 x) c) (* (* (* s c) s) (neg x))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ -1 x) c) (/ -1 x) (/ x (/ (/ (/ (/ -1 c) x) (* c s)) (neg s))) (/ (/ (/ (/ -1 c) x) (* c s)) (neg s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (/ x (/ (/ (/ (/ -1 c) x) (* c s)) (neg s)))) (* (* s c) x) (* (* x x) c) (* (* (* c s) s) x) (* (* (* (* c s) s) x) x) (* (* (* s c) s) (neg x)) (/ (/ (/ -1 c) x) (* c s)))
5.0ms	s	@	-inf	((/ (/ (cos (* x 2)) (* c s)) x) (/ (/ (/ (cos (* x 2)) (* c s)) x) (* (* s c) x)) (/ (cos (* x 2)) (* c s)) (cos (* x 2)) (/ (cos (* 2 x)) (* (* (* x (* c c)) (* x s)) s)) (cos (* 2 x)) (* (* (* x (* c c)) (* x s)) s) (* (* (* x x) c) (* (* s c) s)) (/ -1 (neg (* (* (* (* (* c s) s) x) x) c))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (neg (* (* (* (* (* c s) s) x) x) c)) (* (* (* (* (* c s) s) x) x) c) (/ (/ (/ -1 x) c) (* (* (* s c) s) (neg x))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ -1 x) c) (/ -1 x) (/ x (/ (/ (/ (/ -1 c) x) (* c s)) (neg s))) (/ (/ (/ (/ -1 c) x) (* c s)) (neg s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (/ x (/ (/ (/ (/ -1 c) x) (* c s)) (neg s)))) (* (* s c) x) (* (* x x) c) (* (* (* c s) s) x) (* (* (* (* c s) s) x) x) (* (* (* s c) s) (neg x)) (/ (/ (/ -1 c) x) (* c s)))

simplify340.0ms (2.9%)

Memory

1.9MiB live, 231.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	9588
1	221	9588
2	722	9506
3	2779	9448
4	4904	9448
0	8798	9394

Stop Event

1×	iter limit
1×	node limit

Counts

840 → 840

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

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

rewrite182.0ms (1.5%)

Memory

-13.3MiB live, 150.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	55	347
0	86	340
1	299	333
2	1728	257
3	7288	257
0	8203	257

Stop Event

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

Counts

26 → 1 576

Calls

Call 1

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

Outputs
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eval466.0ms (3.9%)

Memory: 36.0MiB live, 420.1MiB allocated
Compiler: Compiled 41 454 to 4 537 computations (89.1% saved)

prune403.0ms (3.4%)

Memory

-2.0MiB live, 357.9MiB allocated

Pruning

50 alts after pruning (47 fresh and 3 done)

	Pruned	Kept	Total
New	2 403	13	2 416
Fresh	12	34	46
Picked	2	3	5
Done	0	0	0
Total	2 417	50	2 467

Accuracy

100.0%

Counts

2 467 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c s)) x) (.f64 (.f64 s c) x))
	99.6%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 s c) x)) (.f64 (.f64 s c) x))
	70.9%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 x (.f64 s s))) (.f64 x (*.f64 c c)))
	97.7%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 s x) c)) (.f64 (*.f64 s c) x))
	79.4%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c x) c)) (.f64 (*.f64 s x) s))
	67.2%	(/.f64 (/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 s c) x)) (.f64 (*.f64 s c) x))
	93.4%	(/.f64 (.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 s x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 s c) x) c))
	79.9%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 x (.f64 c c)) (*.f64 x s)) s))
	99.2%	(/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 (.f64 s c) x) (.f64 (.f64 s c) x)))
	89.2%	(/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 c x) (.f64 x (.f64 (.f64 s c) s))))
	92.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 (.f64 s c) x) c) x) s))
	93.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 s c) x) (.f64 c x)) s))
	79.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 (.f64 x (.f64 s s)) c)))
	97.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))))
	84.0%	(/.f64 #s(approx (/ (/ (cos (* x 2)) (* c s)) x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x s) c))) (.f64 (.f64 s c) x))
	50.9%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(approx (* (* (* x (* c c)) (* x s)) s) (.f64 (.f64 (.f64 x x) c) (.f64 (*.f64 s c) s))))
	56.3%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) #s(approx ( (* (* x (* c c)) (* x s)) s) (.f64 (.f64 (.f64 x x) c) (.f64 (*.f64 s c) s))))
	59.4%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 x (.f64 c c)) (.f64 x s)) s))
	72.2%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 s x) x) (*.f64 c c)) s))
	78.6%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c x) (sqrt.f64 s)) (.f64 (.f64 c x) (sqrt.f64 s))) s))
	83.2%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c s) x) x) (*.f64 c s)))
	76.8%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c s) s) x) (*.f64 c x)))
	84.0%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c s) x) (.f64 (*.f64 c s) x)))
	80.5%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 c (.f64 (neg.f64 s) c)) (.f64 (*.f64 (neg.f64 s) x) x)))
	69.2%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 c x) (.f64 c (.f64 (*.f64 s s) x))))
	75.1%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 c s) (.f64 s (.f64 x (*.f64 c x)))))
	72.8%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 #s(approx ( (* x (* c c)) (* x s)) (.f64 (.f64 (.f64 x x) c) (.f64 s c))) s))
	69.9%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 x (.f64 (.f64 (.f64 (*.f64 c c) x) s) s)))
	82.5%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 x (.f64 (.f64 c s) (.f64 (*.f64 c s) x))))
	68.4%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (* (* x (* c c)) (* x s)) s) (.f64 (.f64 (.f64 (.f64 (*.f64 x c) c) x) s) s)))
	72.8%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (* (* x (* c c)) (* x s)) s) (.f64 (.f64 (.f64 (.f64 c c) s) x) (*.f64 s x))))
✓	72.1%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (* (* x (* c c)) (* x s)) s) (.f64 (.f64 (.f64 x x) c) (.f64 (*.f64 s c) s))))
	68.2%	#s(approx (/ (/ (/ (cos (* x 2)) (* c s)) x) (* (* s c) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x c) c) x)) s) s))
	63.9%	#s(approx (/ (/ (cos (* 2 x)) (* (* s c) x)) (* (* s c) x)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 s c) c) s)))
	71.9%	#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 (*.f64 s c) (sqrt.f64 s)) (sqrt.f64 s))))
	69.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) c) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (*.f64 s s) x) c)))))
	80.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) c) #s(approx (* (* (* s c) s) (neg x)) (.f64 (.f64 (*.f64 (neg.f64 s) x) c) s))))
	79.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (.f64 (.f64 (*.f64 (neg.f64 s) c) x) s)))
	71.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) c)) (.f64 (.f64 s c) s)))
	69.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 s s) x) c)) (.f64 (neg.f64 c) x)))
	76.8%	#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))))
	76.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (.f64 (neg.f64 x) c) (.f64 (.f64 s c) s))))
	76.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (.f64 c x)))
	80.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 (.f64 (neg.f64 s) c) x) c) (*.f64 s x))))
	69.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 s s) x) c) x) c))))
✓	77.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 c s) s) x) x) c))))
	82.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 (.f64 s x) x) (*.f64 s c)) c))))
	73.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) s) c) (/.f64 (/.f64 #s(literal -1 binary64) s) (.f64 (*.f64 x x) c))))
	70.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 c c)) (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (.f64 s x) s))))
	32.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (* (+ (* (* x x) -2) 1) (/ (/ (/ (/ 1 s) c) s) c)) (* x x)) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) c) c)))

Compiler

Compiled 2 762 to 1 076 computations (61% saved)

regimes287.0ms (2.4%)

Memory

-38.9MiB live, 335.2MiB allocated

Counts

120 → 1

Calls

Call 1

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

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

Calls

6 calls:

62.0ms	c
56.0ms	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
45.0ms	(pow.f64 s #s(literal 2 binary64))
42.0ms	s
38.0ms	x

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`c`
99.7%	1	`s`
99.7%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
99.7%	1	`(pow.f64 c #s(literal 2 binary64))`
99.7%	1	`(pow.f64 s #s(literal 2 binary64))`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes234.0ms (2%)

Memory

29.1MiB live, 307.6MiB allocated

Counts

98 → 1

Calls

Call 1

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

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

Calls

6 calls:

47.0ms	(pow.f64 c #s(literal 2 binary64))
42.0ms	(/.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)))
40.0ms	x
36.0ms	s
34.0ms	c

Results

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

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes249.0ms (2.1%)

Memory

-9.7MiB live, 312.5MiB allocated

Counts

91 → 1

Calls

Call 1

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

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

Calls

6 calls:

55.0ms	x
47.0ms	c
45.0ms	(pow.f64 s #s(literal 2 binary64))
43.0ms	s
31.0ms	(/.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
99.2%	1	`x`
99.2%	1	`c`
99.2%	1	`s`
99.2%	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)))`
99.2%	1	`(pow.f64 c #s(literal 2 binary64))`
99.2%	1	`(pow.f64 s #s(literal 2 binary64))`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes165.0ms (1.4%)

Memory

13.2MiB live, 414.3MiB allocated

Counts

89 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

38.0ms	(pow.f64 s #s(literal 2 binary64))
30.0ms	x
25.0ms	s
24.0ms	c
22.0ms	(pow.f64 c #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
99.2%	2	`x`
97.0%	1	`c`
97.0%	1	`s`
97.0%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
97.0%	1	`(pow.f64 c #s(literal 2 binary64))`
97.0%	1	`(pow.f64 s #s(literal 2 binary64))`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes134.0ms (1.1%)

Memory

-7.6MiB live, 349.8MiB allocated

Counts

82 → 2

Calls

Call 1

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

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

Calls

6 calls:

24.0ms	c
22.0ms	x
21.0ms	s
21.0ms	(pow.f64 s #s(literal 2 binary64))
20.0ms	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))

Results

Accuracy	Segments	Branch
90.3%	2	`s`
90.4%	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)))`
90.3%	2	`(pow.f64 s #s(literal 2 binary64))`
88.9%	2	`c`
88.9%	2	`(pow.f64 c #s(literal 2 binary64))`
90.8%	3	`x`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes132.0ms (1.1%)

Memory

15.2MiB live, 247.6MiB allocated

Counts

81 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

23.0ms	x
23.0ms	c
22.0ms	s
21.0ms	(pow.f64 c #s(literal 2 binary64))
20.0ms	(pow.f64 s #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
84.0%	1	`c`
84.0%	1	`(pow.f64 c #s(literal 2 binary64))`
84.0%	1	`x`
84.0%	1	`s`
84.0%	1	`(pow.f64 s #s(literal 2 binary64))`
86.1%	2	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes10.0ms (0.1%)

Memory

-35.3MiB live, 10.7MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

(/.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
84.0%	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 16 to 12 computations (25% saved)

regimes20.0ms (0.2%)

Memory

-0.1MiB live, 38.7MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

6 calls:

5.0ms	c
3.0ms	x
3.0ms	s
3.0ms	(pow.f64 s #s(literal 2 binary64))
3.0ms	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))

Results

Accuracy	Segments	Branch
82.5%	1	`c`
82.5%	1	`s`
82.5%	1	`(pow.f64 c #s(literal 2 binary64))`
82.5%	1	`(pow.f64 s #s(literal 2 binary64))`
82.5%	1	`x`
82.5%	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 25 to 31 computations (-24% saved)

regimes11.0ms (0.1%)

Memory

25.4MiB live, 25.4MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
75.1%	2	`s`
72.8%	1	`(pow.f64 s #s(literal 2 binary64))`
78.3%	2	`c`
78.3%	2	`(pow.f64 c #s(literal 2 binary64))`
78.3%	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)))`
78.7%	2	`x`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes10.0ms (0.1%)

Memory

-18.5MiB live, 20.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

3.0ms	(pow.f64 c #s(literal 2 binary64))
1.0ms	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
1.0ms	s
1.0ms	x
1.0ms	c

Results

Accuracy	Segments	Branch
72.1%	1	`(pow.f64 s #s(literal 2 binary64))`
72.1%	1	`s`
72.1%	1	`(pow.f64 c #s(literal 2 binary64))`
72.1%	1	`c`
72.1%	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)))`
72.1%	1	`x`

Compiler

Compiled 25 to 31 computations (-24% saved)

bsearch15.0ms (0.1%)

Memory

28.7MiB live, 28.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3.1834727116201e-18	1.6263544169119082e-16

Samples

9.0ms

112×

valid

Compiler

Compiled 236 to 186 computations (21.2% saved)

Precisions

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

ival-mult: 3.0ms (48.2% of total)

ival-pow2: 2.0ms (32.1% of total)

ival-div: 1.0ms (16.1% of total)

ival-cos: 1.0ms (16.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.363030260496895e+191	3.654643035445194e+198

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.193273069776046e-214	0.0

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch18.0ms (0.2%)

Memory

-17.0MiB live, 21.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.746371447034786e-106	6.4581213042319004e-105

Samples

12.0ms

112×

valid

Compiler

Compiled 229 to 200 computations (12.7% saved)

Precisions

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

ival-mult: 3.0ms (47.3% of total)

ival-pow2: 2.0ms (31.5% of total)

ival-div: 1.0ms (15.8% of total)

ival-cos: 1.0ms (15.8% of total)

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

exact: 0.0ms (0% of total)

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

simplify30.0ms (0.3%)

Memory

4.8MiB live, 45.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	372
1	134	372

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c s)) x) (.f64 (.f64 s c) x))
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 s c) x)) (.f64 (.f64 s c) x))
(/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 (.f64 s c) x) (.f64 (.f64 s c) x)))
(if (<=.f64 x #s(literal 1176379757011797/20282409603651670423947251286016 binary64)) (/.f64 #s(approx (/ (cos (* 2 x)) (* (* s c) x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x s) c))) (.f64 (.f64 s c) x)) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 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 400000000000000029023668638927511344412136971512454912982733759358884068996827562978082727269729678069625039074747028846453390126545496550859614631201572871688504980730107692832128439817338880 binary64)) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 x (.f64 c c)) (.f64 x s)) s)) (/.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c s) x) (.f64 (*.f64 c s) x))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -4851619038439715/12129047596099288555851402253613301212944422008724192274523844047078523067862319424459987568973800608988185396071336509423215469094646987433158494336259227650034804500162889887111447543996862850197367181200909912116350366045437952 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (* (+ (* (* x x) -2) 1) (/ (/ (/ (/ 1 s) c) s) c)) (* x x)) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (.f64 s s)) c) c))) (/.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c s) x) (.f64 (*.f64 c s) x))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c s) x) (.f64 (*.f64 c s) x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 x (.f64 (.f64 c s) (.f64 (*.f64 c s) x))))
(if (<=.f64 x #s(literal 8263199609878107/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (* (* x (* c c)) (* x s)) s) (.f64 (.f64 (.f64 (.f64 c c) s) x) (.f64 s x)))) (/.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64)) #s(approx (* (* (* x (* c c)) (* x s)) s) (.f64 (.f64 (.f64 x x) c) (.f64 (*.f64 s c) s)))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (* (* x (* c c)) (* x s)) s) (.f64 (.f64 (.f64 x x) c) (.f64 (*.f64 s c) s))))

Outputs
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c s)) x) (.f64 (.f64 s c) x))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 s c)) x) (.f64 (.f64 s c) x))
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 s c) x)) (.f64 (.f64 s c) x))
(/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 (.f64 s c) x) (.f64 (.f64 s c) x)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s c) x) (.f64 (.f64 s c) x)))
(if (<=.f64 x #s(literal 1176379757011797/20282409603651670423947251286016 binary64)) (/.f64 #s(approx (/ (cos (* 2 x)) (* (* s c) x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x s) c))) (.f64 (.f64 s c) x)) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s)))))
(if (<=.f64 x #s(literal 1176379757011797/20282409603651670423947251286016 binary64)) (/.f64 #s(approx (/ (cos (* 2 x)) (* (* s c) x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 s x) c))) (.f64 (.f64 s c) x)) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 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 400000000000000029023668638927511344412136971512454912982733759358884068996827562978082727269729678069625039074747028846453390126545496550859614631201572871688504980730107692832128439817338880 binary64)) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 x (.f64 c c)) (.f64 x s)) s)) (/.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c s) x) (.f64 (*.f64 c s) x))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (pow.f64 s #s(literal 2 binary64)) x) x) (pow.f64 c #s(literal 2 binary64)))) #s(literal 400000000000000029023668638927511344412136971512454912982733759358884068996827562978082727269729678069625039074747028846453390126545496550859614631201572871688504980730107692832128439817338880 binary64)) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 c c) x) (.f64 s x)) s)) (/.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 s c) x) (.f64 (*.f64 s c) x))))
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(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c s) x) (.f64 (*.f64 c s) x)))
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(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 x (.f64 (.f64 c s) (.f64 (*.f64 c s) x))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 s c) x) (*.f64 s c)) x))
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(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (* (* x (* c c)) (* x s)) s) (.f64 (.f64 (.f64 s c) s) (.f64 (*.f64 x x) c))))

soundness1.8s (14.9%)

Memory

3.4MiB live, 1 164.9MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	87	7064
1	228	7064
2	692	6982
3	2869	6932
4	4958	6892
0	8238	6832
0	50	1512
1	117	1512
2	383	1498
3	1949	1488
4	4763	1480
5	6909	1480
0	8006	1468
0	46	232
0	76	212
1	239	188
2	1052	186
0	8597	186
0	12	52
0	20	52
1	55	52
2	217	48
3	1946	42
0	8396	42
0	55	347
0	86	340
1	299	333
2	1728	257
3	7288	257
0	8203	257
0	48	273
0	79	281
1	273	237
2	1742	207
0	8531	207
0	93	8378
1	227	8378
2	729	8316
3	2728	7876
4	4919	7580
0	8883	7500

Stop Event

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

Compiler

Compiled 1 553 to 649 computations (58.2% saved)

preprocess95.0ms (0.8%)

Memory

-11.9MiB live, 185.4MiB allocated

Remove

(sort c s)

(abs x)

(abs c)

(abs s)

Compiler

Compiled 1 306 to 700 computations (46.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze422.0ms (3.6%)

sample1.9s (16%)

explain210.0ms (1.8%)

preprocess56.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify13.0ms (0.1%)

localize49.0ms (0.4%)

series29.0ms (0.2%)

simplify406.0ms (3.4%)

rewrite199.0ms (1.7%)

eval182.0ms (1.5%)

prune68.0ms (0.6%)

simplify167.0ms (1.4%)

localize212.0ms (1.8%)

series81.0ms (0.7%)

simplify279.0ms (2.3%)

rewrite182.0ms (1.5%)

eval793.0ms (6.7%)

prune241.0ms (2%)

simplify217.0ms (1.8%)

localize168.0ms (1.4%)

series123.0ms (1%)

simplify228.0ms (1.9%)

rewrite201.0ms (1.7%)

eval301.0ms (2.5%)

prune137.0ms (1.2%)

simplify154.0ms (1.3%)

localize184.0ms (1.6%)

series103.0ms (0.9%)

simplify340.0ms (2.9%)

rewrite182.0ms (1.5%)

eval466.0ms (3.9%)

prune403.0ms (3.4%)

regimes287.0ms (2.4%)

regimes234.0ms (2%)

regimes249.0ms (2.1%)

regimes165.0ms (1.4%)

regimes134.0ms (1.1%)

regimes132.0ms (1.1%)

regimes10.0ms (0.1%)

regimes20.0ms (0.2%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

bsearch15.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch18.0ms (0.2%)

simplify30.0ms (0.3%)

soundness1.8s (14.9%)

preprocess95.0ms (0.8%)

end0.0ms (0%)

Profiling