Metrics for mixedcos

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze138.0ms (1.5%)

Memory

-1.7MiB live, 276.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample1.6s (17.3%)

Memory

4.9MiB live, 1 697.4MiB allocated

Samples

991.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 737.0ms

ival-mult: 239.0ms (32.4% of total)

ival-cos: 232.0ms (31.5% of total)

ival-pow2: 188.0ms (25.5% of total)

ival-div: 63.0ms (8.6% of total)

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

exact: 5.0ms (0.7% of total)

ival-assert: 4.0ms (0.5% of total)

Bogosity

explain351.0ms (3.9%)

Memory

29.0MiB live, 306.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
60	0	-	1	(-5.009048361501079e+107 1.020155430815803e+117 -5.409282165919957e-267)	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`
29	0	-	2	(-2.3165939708164404e+278 -1.1379964687128744e-139 3.4576470700658793e-156)	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`
14	0	-	2	(1.8233677312448094e+209 4.948330964304552e-213 -9.746284526058615e-261)	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`
1	1	(-8.95839038573087e+112 7.932552088599169e-213 -4.1020741685995777e+260)	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	113	(-6.179246726221024e+286 1.3778579742759774e+248 -8.726153732244113e+52)	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	113	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*ou**	22	0
↳	`(pow.f64 c #s(literal 2 binary64))`	overflow	60
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	underflow	80
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	underflow	58
↳	`(pow.f64 s #s(literal 2 binary64))`	underflow	50
`*.f64`	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	*no**	17	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*uo**	15	0
↳	`(pow.f64 c #s(literal 2 binary64))`	underflow	62
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	overflow	72
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	overflow	63
↳	`(pow.f64 s #s(literal 2 binary64))`	overflow	66
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*nu**	12	0
`*.f64`	`(.f64 (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 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	*nu**	7	0
`*.f64`	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	*no**	5	0
`/.f64`	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`	n/o	2	0
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	overflow	72
↳	`(pow.f64 c #s(literal 2 binary64))`	overflow	60
↳	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	overflow	78
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	overflow	63
↳	`(pow.f64 s #s(literal 2 binary64))`	overflow	66

Confusion

	Predicted +	Predicted -
+	81	0
-	84	91

Precision

0.4909090909090909

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	81	0	0
-	84	0	91

Precision?

0.4909090909090909

Recall?

1.0

Freqs

test

number	freq
0	91
1	118
2	46
3	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

249.0ms

512×

valid

Compiler

Compiled 135 to 40 computations (70.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 210.0ms

ival-mult: 184.0ms (87.7% of total)

ival-cos: 12.0ms (5.7% of total)

ival-pow2: 10.0ms (4.8% of total)

ival-div: 3.0ms (1.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess65.0ms (0.7%)

Memory

-5.1MiB live, 72.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs s)

(abs c)

(abs x)

(sort c s)

Compiler

Compiled 19 to 12 computations (36.8% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.0%	(/.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 19 to 12 computations (36.8% saved)

simplify15.0ms (0.2%)

Memory

-12.4MiB live, 23.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize41.0ms (0.5%)

Memory

14.6MiB live, 88.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.2252330120877679	(/.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	3.537411072517319	(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)
accuracy	7.153009484914482	(*.f64 x (pow.f64 s #s(literal 2 binary64)))
accuracy	12.520759449765187	(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))

Samples

29.0ms

256×

valid

Compiler

Compiled 58 to 14 computations (75.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 8.0ms (42.1% of total)

ival-cos: 5.0ms (26.3% of total)

ival-pow2: 4.0ms (21.1% of total)

ival-div: 1.0ms (5.3% of total)

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

exact: 0.0ms (0% of total)

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

series42.0ms (0.5%)

Memory

11.1MiB live, 58.3MiB allocated

Counts

7 → 156

Calls

Call 1

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

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

9 calls:

Time	Variable		Point	Expression
19.0ms	s	@	0	((pow c 2) (pow s 2) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x))
4.0ms	s	@	inf	((pow c 2) (pow s 2) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x))
3.0ms	x	@	-inf	((pow c 2) (pow s 2) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x))
2.0ms	x	@	0	((pow c 2) (pow s 2) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x))
2.0ms	x	@	inf	((pow c 2) (pow s 2) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x))

simplify229.0ms (2.5%)

Memory

8.7MiB live, 268.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	1476
1	117	1476
2	383	1462
3	1958	1452
4	4779	1444
5	6925	1444
0	8022	1432

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

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)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow 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))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow 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))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow 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))
(pow s 2)
(pow s 2)
(pow s 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))))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow 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))
(pow s 2)
(pow s 2)
(pow s 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))))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow 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))
(pow s 2)
(pow s 2)
(pow s 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))))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow 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))
(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))))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (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))))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (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))))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))

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

rewrite193.0ms (2.1%)

Memory

3.1MiB live, 279.5MiB allocated

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	49
0	20	49
1	55	49
2	217	45
3	1946	39
0	8396	39

Stop Event

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

Counts

7 → 677

Calls

Call 1

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

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

eval141.0ms (1.6%)

Memory: 2.8MiB live, 211.7MiB allocated
Compiler: Compiled 27 919 to 2 416 computations (91.3% saved)

prune173.0ms (1.9%)

Memory

1.8MiB live, 317.0MiB allocated

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	815	18	833
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	816	18	834

Accuracy

99.7%

Counts

834 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.2%	(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 c c))) s) (*.f64 x s))
	79.4%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 x (.f64 s s)) c) x)) c)
	79.9%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 x (.f64 c c)) s) s)) x)
▶	69.7%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c c)) (.f64 (.f64 x (.f64 s s)) x))
	79.4%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) c) (.f64 (.f64 (.f64 x (.f64 s s)) c) x))
	8.8%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 (.f64 (neg.f64 c) (.f64 (.f64 (.f64 x (.f64 s s)) c) x)) #s(literal 1 binary64))) (.f64 (.f64 (neg.f64 c) (.f64 (.f64 (.f64 x (.f64 s s)) c) x)) (cos.f64 (+.f64 x x)))) (.f64 (.f64 (neg.f64 c) (.f64 (.f64 (.f64 x (.f64 s s)) c) x)) (.f64 (.f64 (neg.f64 c) (.f64 (.f64 (.f64 x (*.f64 s s)) c) x)) #s(literal 1 binary64))))
	78.3%	(/.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 x x)) x)) (.f64 (neg.f64 c) (.f64 (.f64 x (.f64 s s)) c)))
	68.4%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 x (.f64 c c)) x) (*.f64 s s)))
	97.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 c s) x) #s(literal 2 binary64)))
	77.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 (*.f64 x s) s) x)))
	79.4%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 x (.f64 s s)) c) x) c))
	69.4%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c c) s) s) (.f64 x x)))
▶	82.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 c c)) (.f64 x s)) s))
	80.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 (.f64 x (.f64 s s)) c)))
▶	98.6%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))
	79.4%	(.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (.f64 (.f64 (.f64 x (*.f64 s s)) c) (/.f64 x (cos.f64 (+.f64 x x)))) #s(literal -1 binary64)))
	53.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 s c) c) s))) (.f64 x x)))
▶	81.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))

Compiler

Compiled 788 to 428 computations (45.7% saved)

simplify159.0ms (1.8%)

Memory

-25.8MiB live, 15.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

1 158×	`associate-/r*`
758×	`lower-/.f32`
742×	`lower-/.f64`
330×	`lower-*.f32`
306×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	316
0	61	316
1	124	316
2	272	316
3	585	316
4	932	316
5	932	316
6	1005	316
0	1005	316

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize144.0ms (1.6%)

Memory

-6.5MiB live, 226.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.4622045033389475	(/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 c c)))
accuracy	3.7442403973065885	(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 c c))) s) (*.f64 x s))
accuracy	6.454606580458947	(.f64 x (.f64 c c))
accuracy	6.805672186029004	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 c c))) s)
accuracy	0.3715175505986653	(/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c))
accuracy	3.537411072517319	(.f64 (.f64 x (*.f64 s s)) x)
accuracy	7.153009484914482	(.f64 x (.f64 s s))
accuracy	13.087622170944064	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c c)) (.f64 (.f64 x (.f64 s s)) x))
accuracy	0.2252330120877679	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 c c)) (.f64 x s)) s))
accuracy	3.5035371045310906	(.f64 (.f64 (.f64 x (.f64 c c)) (*.f64 x s)) s)
accuracy	5.647640171963227	(.f64 (.f64 x (.f64 c c)) (.f64 x s))
accuracy	6.454606580458947	(.f64 x (.f64 c c))
accuracy	0.17644501953688405	(.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))
accuracy	0.2447642620877679	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s)))
accuracy	4.4134798962814665	(.f64 (.f64 x c) s)
accuracy	10.951143257003967	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))
accuracy	0	#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s)))
accuracy	0.17644501953688405	(.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))
accuracy	0.2252330120877679	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))
accuracy	4.4134798962814665	(.f64 (.f64 x c) s)

Samples

98.0ms

256×

valid

Compiler

Compiled 280 to 35 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-mult: 35.0ms (45.7% of total)

ival-div: 25.0ms (32.6% of total)

ival-cos: 10.0ms (13% of total)

ival-pow2: 5.0ms (6.5% of total)

ival-add: 1.0ms (1.3% of total)

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

exact: 0.0ms (0% of total)

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

series65.0ms (0.7%)

Memory

-25.2MiB live, 132.3MiB allocated

Counts

21 → 600

Calls

Call 1

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

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

Calls

9 calls:

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

simplify309.0ms (3.4%)

Memory

16.3MiB live, 321.4MiB allocated

Algorithm

1×	egg-herbie

Rules

21 676×	`lower-fma.f64`
21 676×	`lower-fma.f32`
6 024×	`lower-*.f64`
6 024×	`lower-*.f32`
2 650×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	7044
1	257	7044
2	742	6952
3	2887	6888
4	4832	6888
0	8269	6828

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 600

Calls

Call 1

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

rewrite101.0ms (1.1%)

Memory

-7.1MiB live, 168.5MiB allocated

Rules

692×	`lower-/.f32`
676×	`lower-/.f64`
674×	`lower-*.f32`
650×	`lower-*.f64`
122×	`lower-neg.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	239
0	61	215
1	206	185
0	1114	185

Stop Event

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

Counts

21 → 489

Calls

Call 1

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

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

eval148.0ms (1.6%)

Memory: 35.1MiB live, 261.5MiB allocated
Compiler: Compiled 25 232 to 979 computations (96.1% saved)

prune374.0ms (4.1%)

Memory

-11.2MiB live, 352.4MiB allocated

Pruning

32 alts after pruning (31 fresh and 1 done)

	Pruned	Kept	Total
New	1 374	29	1 403
Fresh	11	2	13
Picked	4	1	5
Done	0	0	0
Total	1 389	32	1 421

Accuracy

100.0%

Counts

1 421 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	86.9%	(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c x) c)) s) (*.f64 x s))
	60.6%	(/.f64 (/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 x (.f64 c c))) s) (.f64 x s))
	75.1%	(/.f64 (/.f64 (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (.f64 x (.f64 c c))) s) (*.f64 x s))
	92.1%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 c x) s) x) c)) s)
	49.7%	(/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 c c)) (.f64 (.f64 x (*.f64 s s)) x))
	64.1%	(/.f64 (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (.f64 c c)) (.f64 (.f64 x (.f64 s s)) x))
	74.9%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 (*.f64 s s) x) x) c) c))
	82.3%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 x (.f64 c c)) (*.f64 x s)) s))
	68.4%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 x (.f64 c c)) x) (*.f64 s s)))
▶	98.6%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))
	92.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 (.f64 c x) s) x) c) s))
	80.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 (.f64 x (.f64 s s)) c)))
	93.6%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x (.f64 (.f64 s c) (.f64 (.f64 c x) s))))
	91.4%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x (.f64 c (.f64 (.f64 (.f64 c x) s) s))))
▶	91.8%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c (.f64 x (.f64 (.f64 (.f64 c x) s) s))))
	94.0%	(/.f64 #s(approx (/ (/ (cos (+ x x)) (* x (* c c))) s) (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 (.f64 s x) c) c))) (*.f64 x s))
	81.3%	(/.f64 #s(approx (/ (/ (cos (+ x x)) (* x (* c c))) s) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 s x) c) c))) (.f64 x s))
▶	66.2%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))
	91.9%	(/.f64 #s(literal 1 binary64) (/.f64 s (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 c x) s) x) c))))
▶	69.6%	#s(approx (/ (/ (/ (cos (+ x x)) (* x (* c c))) s) (* x s)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c (.f64 x x)) s) (*.f64 s c))))
	81.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) s)) (.f64 (.f64 c x) s)))
	78.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c x)) (.f64 (.f64 (.f64 c x) s) s)))
	77.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) s) (.f64 (.f64 (.f64 (.f64 c x) s) x) c)))
	67.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (*.f64 s s) x) x) c) c)))
	77.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (*.f64 c x) s) x) c) s)))
	78.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 c x) s) x) (*.f64 s c))))
	79.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 c x) s) s) (*.f64 c x))))
✓	81.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))
	80.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 s c) x))))
	71.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 s c) (*.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 c (.f64 (.f64 (*.f64 c x) s) s)))))
	81.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) s)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 c x) s))))

Compiler

Compiled 1 167 to 666 computations (42.9% saved)

simplify42.0ms (0.5%)

Memory

-13.2MiB live, 24.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

834×	`associate-/r*`
760×	`lower-/.f32`
752×	`lower-/.f64`
342×	`lower-*.f32`
312×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	402
0	78	402
1	161	402
2	345	402
3	709	402
4	770	402
5	770	402
6	894	402
7	900	402
8	900	402
0	900	402

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize178.0ms (2%)

Memory

29.1MiB live, 260.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.0307364513460853	(.f64 (.f64 (*.f64 c x) s) s)
accuracy	2.896580700911572	(.f64 c (.f64 x (.f64 (.f64 (*.f64 c x) s) s)))
accuracy	4.314089194593371	(.f64 x (.f64 (.f64 (.f64 c x) s) s))
accuracy	4.4134798962814665	(.f64 (.f64 c x) s)
accuracy	0.17644501953688405	(.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))
accuracy	0.2252330120877679	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))
accuracy	4.4134798962814665	(.f64 (.f64 x c) s)
accuracy	27.516953454209172	#s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))
accuracy	3.748247158976206	(.f64 (.f64 (.f64 c (.f64 x x)) s) (*.f64 s c))
accuracy	6.358525342001955	(.f64 (.f64 c (*.f64 x x)) s)
accuracy	6.476016325421683	(.f64 c (.f64 x x))
accuracy	10.951143257003967	#s(approx (/ (/ (/ (cos (+ x x)) (* x (* c c))) s) (* x s)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c (.f64 x x)) s) (*.f64 s c))))
accuracy	3.11778404400139	(.f64 c (.f64 (.f64 (.f64 c x) s) s))
accuracy	3.4165615906657614	(.f64 x (.f64 c (.f64 (.f64 (*.f64 c x) s) s)))
accuracy	4.4134798962814665	(.f64 (.f64 c x) s)
accuracy	10.951143257003967	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 c (.f64 (.f64 (*.f64 c x) s) s)))))
accuracy	0	#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s)))
accuracy	0.17644501953688405	(.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))
accuracy	0.2252330120877679	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))
accuracy	4.4134798962814665	(.f64 (.f64 x c) s)

Samples

110.0ms

256×

valid

Compiler

Compiled 315 to 45 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-mult: 34.0ms (48.4% of total)

ival-div: 18.0ms (25.6% of total)

ival-cos: 10.0ms (14.2% of total)

ival-pow2: 5.0ms (7.1% of total)

ival-add: 3.0ms (4.3% of total)

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

exact: 0.0ms (0% of total)

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

series82.0ms (0.9%)

Memory

-14.4MiB live, 137.0MiB allocated

Counts

26 → 756

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	((/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (+ x x)) (+ x x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* x (* c (* (* (* c x) s) s)))) (* x (* c (* (* (* c x) s) s))) (* c (* (* (* c x) s) s)) (/ (/ (/ (cos (+ x x)) (* x (* c c))) s) (* x s)) (/ 1 (* (* (* c (* x x)) s) (* s c))) (* (* (* c (* x x)) s) (* s c)) (* (* c (* x x)) s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (+ (* -2 (* x x)) 1) (* x x) (* 2 x) (/ (cos (* 2 x)) (* c (* x (* (* (* c x) s) s)))) (cos (* 2 x)) (* c (* x (* (* (* c x) s) s))) (* (* x c) s) (* (* (* x c) s) (* (* x c) s)) (* (* c x) s) (* c (* x x)) (* x (* (* (* c x) s) s)) (* (* (* c x) s) s))
6.0ms	c	@	-inf	((/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (+ x x)) (+ x x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* x (* c (* (* (* c x) s) s)))) (* x (* c (* (* (* c x) s) s))) (* c (* (* (* c x) s) s)) (/ (/ (/ (cos (+ x x)) (* x (* c c))) s) (* x s)) (/ 1 (* (* (* c (* x x)) s) (* s c))) (* (* (* c (* x x)) s) (* s c)) (* (* c (* x x)) s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (+ (* -2 (* x x)) 1) (* x x) (* 2 x) (/ (cos (* 2 x)) (* c (* x (* (* (* c x) s) s)))) (cos (* 2 x)) (* c (* x (* (* (* c x) s) s))) (* (* x c) s) (* (* (* x c) s) (* (* x c) s)) (* (* c x) s) (* c (* x x)) (* x (* (* (* c x) s) s)) (* (* (* c x) s) s))
5.0ms	s	@	inf	((/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (+ x x)) (+ x x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* x (* c (* (* (* c x) s) s)))) (* x (* c (* (* (* c x) s) s))) (* c (* (* (* c x) s) s)) (/ (/ (/ (cos (+ x x)) (* x (* c c))) s) (* x s)) (/ 1 (* (* (* c (* x x)) s) (* s c))) (* (* (* c (* x x)) s) (* s c)) (* (* c (* x x)) s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (+ (* -2 (* x x)) 1) (* x x) (* 2 x) (/ (cos (* 2 x)) (* c (* x (* (* (* c x) s) s)))) (cos (* 2 x)) (* c (* x (* (* (* c x) s) s))) (* (* x c) s) (* (* (* x c) s) (* (* x c) s)) (* (* c x) s) (* c (* x x)) (* x (* (* (* c x) s) s)) (* (* (* c x) s) s))
4.0ms	x	@	-inf	((/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (+ x x)) (+ x x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* x (* c (* (* (* c x) s) s)))) (* x (* c (* (* (* c x) s) s))) (* c (* (* (* c x) s) s)) (/ (/ (/ (cos (+ x x)) (* x (* c c))) s) (* x s)) (/ 1 (* (* (* c (* x x)) s) (* s c))) (* (* (* c (* x x)) s) (* s c)) (* (* c (* x x)) s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (+ (* -2 (* x x)) 1) (* x x) (* 2 x) (/ (cos (* 2 x)) (* c (* x (* (* (* c x) s) s)))) (cos (* 2 x)) (* c (* x (* (* (* c x) s) s))) (* (* x c) s) (* (* (* x c) s) (* (* x c) s)) (* (* c x) s) (* c (* x x)) (* x (* (* (* c x) s) s)) (* (* (* c x) s) s))
4.0ms	x	@	inf	((/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (+ x x)) (+ x x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* x (* c (* (* (* c x) s) s)))) (* x (* c (* (* (* c x) s) s))) (* c (* (* (* c x) s) s)) (/ (/ (/ (cos (+ x x)) (* x (* c c))) s) (* x s)) (/ 1 (* (* (* c (* x x)) s) (* s c))) (* (* (* c (* x x)) s) (* s c)) (* (* c (* x x)) s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (+ (* -2 (* x x)) 1) (* x x) (* 2 x) (/ (cos (* 2 x)) (* c (* x (* (* (* c x) s) s)))) (cos (* 2 x)) (* c (* x (* (* (* c x) s) s))) (* (* x c) s) (* (* (* x c) s) (* (* x c) s)) (* (* c x) s) (* c (* x x)) (* x (* (* (* c x) s) s)) (* (* (* c x) s) s))

simplify200.0ms (2.2%)

Memory

35.4MiB live, 267.6MiB allocated

Algorithm

1×	egg-herbie

Rules

15 898×	`lower-fma.f64`
15 898×	`lower-fma.f32`
5 450×	`lower-*.f64`
5 450×	`lower-*.f32`
2 474×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	8186
1	159	8186
2	464	8116
3	1847	8066
4	4632	8026
5	6830	8026
0	8081	7969

Stop Event

1×	iter limit
1×	node limit

Counts

756 → 756

Calls

Call 1

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

rewrite102.0ms (1.1%)

Memory

-13.4MiB live, 163.7MiB allocated

Rules

826×	`lower-*.f32`
796×	`lower-*.f64`
706×	`lower-/.f32`
698×	`lower-/.f64`
188×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	313
0	78	265
1	258	237
0	1281	237

Stop Event

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

Counts

26 → 518

Calls

Call 1

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

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

eval218.0ms (2.4%)

Memory: 20.4MiB live, 513.6MiB allocated
Compiler: Compiled 28 649 to 1 046 computations (96.3% saved)

prune662.0ms (7.3%)

Memory

-37.5MiB live, 1 045.8MiB allocated

Pruning

34 alts after pruning (32 fresh and 2 done)

	Pruned	Kept	Total
New	1 602	25	1 627
Fresh	19	7	26
Picked	4	1	5
Done	0	1	1
Total	1 625	34	1 659

Accuracy

100.0%

Counts

1 659 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.6%	(/.f64 (/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 x (.f64 c c))) s) (.f64 x s))
	92.1%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 c x) s) x) c)) s)
	93.3%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c x)) (.f64 (.f64 (.f64 c x) s) s))
	91.4%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 (*.f64 c x) s) s) c) x))
▶	94.3%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) s) s) (*.f64 c x))))
✓	98.6%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))
▶	96.6%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 s c) x))))
	72.0%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s s) x) (.f64 (*.f64 c c) x))))
	92.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 (.f64 c x) s) x) c) s))
	55.2%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 (*.f64 x c) c) x) s) s)))
	62.6%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 (*.f64 c x) s) s) c) x)))
	50.0%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x x) c) (.f64 (*.f64 s c) s))))
▶	19.6%	(/.f64 #s(approx (cos (* 2 x)) #s(approx (+ (* -2 (* x x)) 1) (.f64 #s(literal -2 binary64) (.f64 x x)))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))
	78.0%	(/.f64 #s(literal 1 binary64) (/.f64 s (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 x x) c) s) c))))
	91.4%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 c x) s) s) c) x)) (cos.f64 (+.f64 x x)))
	62.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 (.f64 c x) s) s) c) x))) #s(approx (cos ( 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))))
	77.8%	#s(approx (/ (/ (/ (cos (+ x x)) (* x (* c c))) s) (* x s)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 c x) s) s) c)) x))
	69.6%	#s(approx (/ (/ (/ (cos (+ x x)) (* x (* c c))) s) (* x s)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) c) s)) (.f64 s c)))
	61.5%	#s(approx (/ (/ (/ (cos (+ x x)) (* x (* c c))) s) (* x s)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) c) c)) (.f64 s s)))
	78.0%	#s(approx (/ (/ (/ (cos (+ x x)) (* x (* c c))) s) (* x s)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c x)) (.f64 (.f64 (.f64 c x) s) s)))
	67.2%	#s(approx (/ (/ (/ (cos (+ x x)) (* x (* c c))) s) (* x s)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (*.f64 x x) c) c) s) s)))
	67.4%	#s(approx (/ (/ (/ (cos (+ x x)) (* x (* c c))) s) (* x s)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (*.f64 s s) x) x) c) c)))
▶	73.2%	#s(approx (/ (/ (/ (cos (+ x x)) (* x (* c c))) s) (* x s)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x x) s) c) (*.f64 s c))))
	79.0%	#s(approx (/ (/ (/ (cos (+ x x)) (* x (* c c))) s) (* x s)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 c x) s) s) (*.f64 c x))))
	73.5%	#s(approx (/ (/ (/ (cos (+ x x)) (* x (* c c))) s) (* x s)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 s c)) (*.f64 s c))))
	68.5%	#s(approx (/ (/ (/ (cos (+ x x)) (* x (* c c))) s) (* x s)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 c (.f64 (*.f64 s c) s)))))
	73.7%	#s(approx (/ (/ (/ (cos (+ x x)) (* x (* c c))) s) (* x s)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c c) (.f64 (.f64 s x) (*.f64 s x)))))
	77.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) s) (.f64 (.f64 (.f64 (.f64 c x) s) x) c)))
	77.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (*.f64 c x) s) x) c) s)))
✓	81.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))
	80.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 s c) x))))
	78.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 c (.f64 (.f64 s x) (*.f64 s c))))))
▶	67.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 c (.f64 x (.f64 c (*.f64 s s)))))))
	81.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) s)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 c x) s))))

Compiler

Compiled 1 253 to 699 computations (44.2% saved)

simplify21.0ms (0.2%)

Memory

36.8MiB live, 36.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

790×	`associate-/r*`
760×	`lower-/.f32`
754×	`lower-/.f64`
342×	`lower-*.f32`
306×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	460
0	86	460
1	176	460
2	363	460
3	703	460
4	749	460
5	749	460
6	908	460
7	908	460
0	908	457

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize172.0ms (1.9%)

Memory

-9.2MiB live, 226.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.2252330120877679	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) s) s) (*.f64 c x))))
accuracy	1.030736451346085	(.f64 (.f64 (*.f64 c x) s) s)
accuracy	3.4075010395093157	(.f64 (.f64 (.f64 (.f64 c x) s) s) (*.f64 c x))
accuracy	4.413479896281467	(.f64 (.f64 c x) s)
accuracy	0.2252330120877679	(/.f64 #s(approx (cos (* 2 x)) #s(approx (+ (* -2 (* x x)) 1) (.f64 #s(literal -2 binary64) (.f64 x x)))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))
accuracy	4.4134798962814665	(.f64 (.f64 x c) s)
accuracy	27.516953454209172	#s(approx (cos (* 2 x)) #s(approx (+ (* -2 (* x x)) 1) (.f64 #s(literal -2 binary64) (.f64 x x))))
accuracy	34.963851123395855	#s(approx (+ (* -2 (* x x)) 1) (.f64 #s(literal -2 binary64) (.f64 x x)))
accuracy	3.748247158976206	(.f64 (.f64 (.f64 (.f64 x x) s) c) (*.f64 s c))
accuracy	6.726390174984448	(.f64 (.f64 (*.f64 x x) s) c)
accuracy	6.845320204314861	(.f64 (.f64 x x) s)
accuracy	10.951143257003967	#s(approx (/ (/ (/ (cos (+ x x)) (* x (* c c))) s) (* x s)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x x) s) c) (*.f64 s c))))
accuracy	3.4165615906657614	(.f64 x (.f64 c (.f64 x (.f64 c (*.f64 s s)))))
accuracy	5.644161270092498	(.f64 x (.f64 c (*.f64 s s)))
accuracy	6.915367299452937	(.f64 c (.f64 s s))
accuracy	10.951143257003967	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 c (.f64 x (.f64 c (*.f64 s s)))))))
accuracy	0.17644501953688405	(.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 s c) x))
accuracy	0.2252330120877679	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 s c) x))))
accuracy	4.4134798962814665	(.f64 (.f64 x c) s)
accuracy	5.607484661652956	(.f64 (.f64 s c) x)

Samples

118.0ms

256×

valid

Compiler

Compiled 328 to 48 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-mult: 47.0ms (61.1% of total)

ival-div: 13.0ms (16.9% of total)

ival-cos: 10.0ms (13% of total)

ival-pow2: 4.0ms (5.2% of total)

ival-add: 3.0ms (3.9% of total)

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

exact: 0.0ms (0% of total)

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

series84.0ms (0.9%)

Memory

3.3MiB live, 120.9MiB allocated

Counts

27 → 828

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	c	@	0	((/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (+ x x)) (+ x x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* x (* c (* x (* c (* s s)))))) (* x (* c (* x (* c (* s s))))) (* c (* x (* c (* s s)))) (/ (/ (/ (cos (+ x x)) (* x (* c c))) s) (* x s)) (/ 1 (* (* (* (* x x) s) c) (* s c))) (* (* (* (* x x) s) c) (* s c)) (* (* (* x x) s) c) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (+ (* -2 (* x x)) 1) (* -2 (* x x)) (/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* s c) x) (* (* x c) s) (* (* (* x c) s) (* (* s c) x)) (* c (* s s)) (* x (* c (* s s))) (* (* x x) s) (* (* c x) s) (* (* (* (* c x) s) s) (* c x)) (* (* (* c x) s) s))
9.0ms	x	@	inf	((/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (+ x x)) (+ x x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* x (* c (* x (* c (* s s)))))) (* x (* c (* x (* c (* s s))))) (* c (* x (* c (* s s)))) (/ (/ (/ (cos (+ x x)) (* x (* c c))) s) (* x s)) (/ 1 (* (* (* (* x x) s) c) (* s c))) (* (* (* (* x x) s) c) (* s c)) (* (* (* x x) s) c) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (+ (* -2 (* x x)) 1) (* -2 (* x x)) (/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* s c) x) (* (* x c) s) (* (* (* x c) s) (* (* s c) x)) (* c (* s s)) (* x (* c (* s s))) (* (* x x) s) (* (* c x) s) (* (* (* (* c x) s) s) (* c x)) (* (* (* c x) s) s))
4.0ms	x	@	-inf	((/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (+ x x)) (+ x x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* x (* c (* x (* c (* s s)))))) (* x (* c (* x (* c (* s s))))) (* c (* x (* c (* s s)))) (/ (/ (/ (cos (+ x x)) (* x (* c c))) s) (* x s)) (/ 1 (* (* (* (* x x) s) c) (* s c))) (* (* (* (* x x) s) c) (* s c)) (* (* (* x x) s) c) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (+ (* -2 (* x x)) 1) (* -2 (* x x)) (/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* s c) x) (* (* x c) s) (* (* (* x c) s) (* (* s c) x)) (* c (* s s)) (* x (* c (* s s))) (* (* x x) s) (* (* c x) s) (* (* (* (* c x) s) s) (* c x)) (* (* (* c x) s) s))
3.0ms	s	@	-inf	((/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (+ x x)) (+ x x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* x (* c (* x (* c (* s s)))))) (* x (* c (* x (* c (* s s))))) (* c (* x (* c (* s s)))) (/ (/ (/ (cos (+ x x)) (* x (* c c))) s) (* x s)) (/ 1 (* (* (* (* x x) s) c) (* s c))) (* (* (* (* x x) s) c) (* s c)) (* (* (* x x) s) c) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (+ (* -2 (* x x)) 1) (* -2 (* x x)) (/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* s c) x) (* (* x c) s) (* (* (* x c) s) (* (* s c) x)) (* c (* s s)) (* x (* c (* s s))) (* (* x x) s) (* (* c x) s) (* (* (* (* c x) s) s) (* c x)) (* (* (* c x) s) s))
3.0ms	c	@	-inf	((/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (+ x x)) (+ x x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* x (* c (* x (* c (* s s)))))) (* x (* c (* x (* c (* s s))))) (* c (* x (* c (* s s)))) (/ (/ (/ (cos (+ x x)) (* x (* c c))) s) (* x s)) (/ 1 (* (* (* (* x x) s) c) (* s c))) (* (* (* (* x x) s) c) (* s c)) (* (* (* x x) s) c) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (+ (* -2 (* x x)) 1) (* -2 (* x x)) (/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* s c) x) (* (* x c) s) (* (* (* x c) s) (* (* s c) x)) (* c (* s s)) (* x (* c (* s s))) (* (* x x) s) (* (* c x) s) (* (* (* (* c x) s) s) (* c x)) (* (* (* c x) s) s))

simplify201.0ms (2.2%)

Memory

-18.4MiB live, 259.7MiB allocated

Algorithm

1×	egg-herbie

Rules

15 898×	`lower-fma.f64`
15 898×	`lower-fma.f32`
5 450×	`lower-*.f64`
5 450×	`lower-*.f32`
2 474×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	8726
1	155	8726
2	457	8656
3	1856	8606
4	4634	8566
5	6831	8566
0	8082	8515

Stop Event

1×	iter limit
1×	node limit

Counts

828 → 828

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

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

rewrite68.0ms (0.7%)

Memory

40.0MiB live, 113.8MiB allocated

Rules

856×	`lower-*.f32`
820×	`lower-*.f64`
656×	`lower-/.f32`
650×	`lower-/.f64`
188×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	372
0	86	320
1	276	284
0	1267	281

Stop Event

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

Counts

27 → 492

Calls

Call 1

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

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

eval161.0ms (1.8%)

Memory: -23.9MiB live, 326.5MiB allocated
Compiler: Compiled 25 067 to 791 computations (96.8% saved)

prune730.0ms (8%)

Memory

-19.4MiB live, 773.0MiB allocated

Pruning

37 alts after pruning (31 fresh and 6 done)

	Pruned	Kept	Total
New	1 437	11	1 448
Fresh	7	20	27
Picked	1	4	5
Done	0	2	2
Total	1 445	37	1 482

Accuracy

100.0%

Counts

1 482 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.6%	(/.f64 (/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 x (.f64 c c))) s) (.f64 x s))
	92.1%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 c x) s) x) c)) s)
	93.3%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c x)) (.f64 (.f64 (.f64 c x) s) s))
	91.4%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 (*.f64 c x) s) s) c) x))
	92.9%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 s c) x) s) (*.f64 c x))))
	93.2%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) s) x) (*.f64 s c))))
✓	94.3%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) s) s) (*.f64 c x))))
✓	98.6%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))
✓	96.6%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 s c) x))))
	72.0%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s s) x) (.f64 (*.f64 c c) x))))
	79.0%	(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) s) s) (*.f64 c x))))
	55.2%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 (*.f64 x c) c) x) s) s)))
	62.6%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 (*.f64 c x) s) s) c) x)))
	50.0%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x x) c) (.f64 (*.f64 s c) s))))
✓	19.6%	(/.f64 #s(approx (cos (* 2 x)) #s(approx (+ (* -2 (* x x)) 1) (.f64 #s(literal -2 binary64) (.f64 x x)))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))
	78.0%	(/.f64 #s(literal 1 binary64) (/.f64 s (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 x x) c) s) c))))
	91.4%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 c x) s) s) c) x)) (cos.f64 (+.f64 x x)))
	62.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 (.f64 c x) s) s) c) x))) #s(approx (cos ( 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))))
	73.2%	#s(approx (/ (/ (/ (cos (+ x x)) (* x (* c c))) s) (* x s)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) s) c)) (.f64 s c)))
	61.5%	#s(approx (/ (/ (/ (cos (+ x x)) (* x (* c c))) s) (* x s)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) c) c)) (.f64 s s)))
	60.0%	#s(approx (/ (/ (/ (cos (+ x x)) (* x (* c c))) s) (* x s)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 s s))) (.f64 c c)))
	73.2%	#s(approx (/ (/ (/ (cos (+ x x)) (* x (* c c))) s) (* x s)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 s c)) (.f64 (.f64 (.f64 x x) s) c)))
	73.3%	#s(approx (/ (/ (/ (cos (+ x x)) (* x (* c c))) s) (* x s)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (*.f64 x x) s) c) s) c)))
	67.2%	#s(approx (/ (/ (/ (cos (+ x x)) (* x (* c c))) s) (* x s)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (*.f64 x x) c) c) s) s)))
	67.4%	#s(approx (/ (/ (/ (cos (+ x x)) (* x (* c c))) s) (* x s)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (*.f64 s s) x) x) c) c)))
	78.2%	#s(approx (/ (/ (/ (cos (+ x x)) (* x (* c c))) s) (* x s)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 s x) x) c) (*.f64 s c))))
	73.5%	#s(approx (/ (/ (/ (cos (+ x x)) (* x (* c c))) s) (* x s)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 s c)) (*.f64 s c))))
	71.8%	#s(approx (/ (/ (/ (cos (+ x x)) (* x (* c c))) s) (* x s)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 s x) s) (.f64 (*.f64 c c) x))))
	68.5%	#s(approx (/ (/ (/ (cos (+ x x)) (* x (* c c))) s) (* x s)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 c (.f64 (*.f64 s c) s)))))
	73.7%	#s(approx (/ (/ (/ (cos (+ x x)) (* x (* c c))) s) (* x s)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c c) (.f64 (.f64 s x) (*.f64 s x)))))
	81.5%	#s(approx (/ (/ (/ (cos (+ x x)) (* x (* c c))) s) (* x s)) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 (.f64 s x) (.f64 (*.f64 c x) s)))))
	77.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) s) (.f64 (.f64 (.f64 (.f64 c x) s) x) c)))
	77.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (*.f64 c x) s) x) c) s)))
✓	81.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))
	77.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 c (.f64 (*.f64 c x) s)) s))))
✓	67.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 c (.f64 x (.f64 c (*.f64 s s)))))))
	81.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) s)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 c x) s))))

Compiler

Compiled 2 074 to 645 computations (68.9% saved)

regimes180.0ms (2%)

Memory

19.9MiB live, 101.9MiB allocated

Counts

84 → 1

Calls

Call 1

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

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

Calls

6 calls:

53.0ms	(pow.f64 c #s(literal 2 binary64))
42.0ms	c
21.0ms	s
21.0ms	x
20.0ms	(pow.f64 s #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
98.6%	1	`x`
98.6%	1	`c`
98.6%	1	`s`
98.6%	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)))`
98.6%	1	`(pow.f64 c #s(literal 2 binary64))`
98.6%	1	`(pow.f64 s #s(literal 2 binary64))`

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes140.0ms (1.5%)

Memory

-6.6MiB live, 71.6MiB allocated

Counts

49 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

43.0ms	(pow.f64 c #s(literal 2 binary64))
13.0ms	c
13.0ms	s
13.0ms	x
12.0ms	(pow.f64 s #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
98.4%	2	`x`
98.2%	2	`c`
98.2%	2	`(pow.f64 c #s(literal 2 binary64))`
96.6%	1	`s`
96.6%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
96.6%	1	`(pow.f64 s #s(literal 2 binary64))`

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes129.0ms (1.4%)

Memory

-18.8MiB live, 64.3MiB allocated

Counts

48 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

51.0ms	x
28.0ms	(/.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)))
13.0ms	c
12.0ms	s
12.0ms	(pow.f64 s #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
88.7%	2	`s`
86.3%	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)))`
88.7%	2	`(pow.f64 s #s(literal 2 binary64))`
81.9%	1	`c`
81.9%	1	`(pow.f64 c #s(literal 2 binary64))`
86.5%	2	`x`

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes74.0ms (0.8%)

Memory

10.0MiB live, 47.7MiB allocated

Counts

47 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

37.0ms	s
12.0ms	x
12.0ms	(pow.f64 s #s(literal 2 binary64))
10.0ms	(/.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
84.8%	2	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
81.9%	1	`x`
81.9%	1	`s`
81.9%	1	`(pow.f64 s #s(literal 2 binary64))`

Compiler

Compiled 33 to 23 computations (30.3% saved)

regimes56.0ms (0.6%)

Memory

-13.5MiB live, 24.2MiB allocated

Counts

36 → 1

Calls

Call 1

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

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

Calls

2 calls:

46.0ms	x
8.0ms	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))

Results

Accuracy	Segments	Branch
81.9%	1	`x`
81.9%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`

Compiler

Compiled 23 to 15 computations (34.8% saved)

regimes79.0ms (0.9%)

Memory

-7.5MiB live, 37.3MiB allocated

Counts

26 → 1

Calls

Call 1

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

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

Calls

6 calls:

42.0ms	(pow.f64 c #s(literal 2 binary64))
7.0ms	x
7.0ms	s
7.0ms	c
7.0ms	(pow.f64 s #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
81.7%	1	`(pow.f64 c #s(literal 2 binary64))`
81.7%	1	`s`
81.7%	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)))`
81.7%	1	`c`
81.7%	1	`(pow.f64 s #s(literal 2 binary64))`
81.7%	1	`x`

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes16.0ms (0.2%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

6 calls:

3.0ms	x
3.0ms	c
3.0ms	s
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
80.3%	1	`s`
80.3%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
80.3%	1	`c`
80.3%	1	`(pow.f64 c #s(literal 2 binary64))`
80.3%	1	`(pow.f64 s #s(literal 2 binary64))`
80.3%	1	`x`

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes13.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

6 calls:

2.0ms	s
2.0ms	x
2.0ms	c
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
78.7%	1	`(pow.f64 c #s(literal 2 binary64))`
78.7%	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)))`
78.7%	1	`x`
78.7%	1	`c`
78.7%	1	`(pow.f64 s #s(literal 2 binary64))`
78.7%	1	`s`

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes59.0ms (0.7%)

Memory

-16.2MiB live, 22.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

53.0ms	c
1.0ms	x
1.0ms	s
1.0ms	(pow.f64 s #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)))

Results

Accuracy	Segments	Branch
67.9%	1	`(pow.f64 c #s(literal 2 binary64))`
67.9%	1	`c`
67.9%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
67.9%	1	`s`
67.9%	1	`(pow.f64 s #s(literal 2 binary64))`
67.9%	1	`x`

Compiler

Compiled 43 to 31 computations (27.9% saved)

bsearch16.0ms (0.2%)

Memory

7.1MiB live, 7.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	5.3490302647602374e-157	2.2251694902596763e-154

Samples

10.0ms

128×

valid

Compiler

Compiled 334 to 202 computations (39.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 3.0ms (43.8% of total)

ival-pow2: 2.0ms (29.2% of total)

ival-div: 1.0ms (14.6% of total)

ival-cos: 1.0ms (14.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.4426720196894137e+250	7.406428509594201e+253

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.14232778883654e-232	0.0

Compiler

Compiled 22 to 18 computations (18.2% saved)

simplify7.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	391
1	118	391

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))
(if (<=.f64 x #s(literal 8332909034005963/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232 binary64)) (/.f64 #s(approx (/ (/ (cos (+ x x)) (* x (* c c))) s) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 s x) c) c))) (.f64 x s)) (/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 s c) x)))))
(if (<=.f64 (pow.f64 s #s(literal 2 binary64)) #s(literal 19999999999999998421936661664294053151080855387504444745733035393436825233278672005560948283410708288220728162236284648020809571429082630568562515505514583247285006834145935719548240949300738322281106670384019261349564171109391944306795105153030553600 binary64)) (/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s s) x) (.f64 (.f64 c c) x)))) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) s)) (.f64 (.f64 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 -5593535921577141/13983839803942852150595109342614667231797724205161451430391332862456574221363722734055314582922181823940116947860839707067576592166539734717014172871857704892828551908192974659309961553456532605588398441519406859119106715628289835749686907766833152 binary64)) (/.f64 #s(approx (cos (* 2 x)) #s(approx (+ (* -2 (* x x)) 1) (.f64 #s(literal -2 binary64) (.f64 x x)))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (.f64 x c) s)))) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) s)) (.f64 (.f64 c x) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) s)) (.f64 (.f64 c x) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 s c) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 c (.f64 (.f64 s x) (*.f64 s c))))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 c (.f64 x (.f64 c (*.f64 s s)))))))

Outputs
(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))
(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))))
(if (<=.f64 x #s(literal 8332909034005963/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232 binary64)) (/.f64 #s(approx (/ (/ (cos (+ x x)) (* x (* c c))) s) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 s x) c) c))) (.f64 x s)) (/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 s c) x)))))
(if (<=.f64 x #s(literal 8332909034005963/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232 binary64)) (/.f64 #s(approx (/ (/ (cos (+ x x)) (* x (* c c))) s) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 s x) c) c))) (.f64 s x)) (/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s c) x) (.f64 (*.f64 c x) s)))))
(if (<=.f64 (pow.f64 s #s(literal 2 binary64)) #s(literal 19999999999999998421936661664294053151080855387504444745733035393436825233278672005560948283410708288220728162236284648020809571429082630568562515505514583247285006834145935719548240949300738322281106670384019261349564171109391944306795105153030553600 binary64)) (/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s s) x) (.f64 (.f64 c c) x)))) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) s)) (.f64 (.f64 c x) s))))
(if (<=.f64 (pow.f64 s #s(literal 2 binary64)) #s(literal 19999999999999998421936661664294053151080855387504444745733035393436825233278672005560948283410708288220728162236284648020809571429082630568562515505514583247285006834145935719548240949300738322281106670384019261349564171109391944306795105153030553600 binary64)) (/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c c) x) (.f64 (.f64 s s) x)))) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c 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 -5593535921577141/13983839803942852150595109342614667231797724205161451430391332862456574221363722734055314582922181823940116947860839707067576592166539734717014172871857704892828551908192974659309961553456532605588398441519406859119106715628289835749686907766833152 binary64)) (/.f64 #s(approx (cos (* 2 x)) #s(approx (+ (* -2 (* x x)) 1) (.f64 #s(literal -2 binary64) (.f64 x x)))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (.f64 x c) s)))) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) s)) (.f64 (.f64 c x) s))))
(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 -5593535921577141/13983839803942852150595109342614667231797724205161451430391332862456574221363722734055314582922181823940116947860839707067576592166539734717014172871857704892828551908192974659309961553456532605588398441519406859119106715628289835749686907766833152 binary64)) (/.f64 #s(approx (cos (* 2 x)) #s(approx (+ (* -2 (* x x)) 1) (.f64 (.f64 x x) #s(literal -2 binary64)))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (.f64 c x) s)))) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) s)) (.f64 (.f64 c x) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) s)) (.f64 (.f64 c x) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 s c) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 s c) x) (.f64 (*.f64 c x) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 c (.f64 (.f64 s x) (*.f64 s c))))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 s c) (*.f64 s x)) c) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 c (.f64 x (.f64 c (*.f64 s s)))))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (*.f64 s s) c) x) c) x)))

soundness1.0s (11.3%)

Memory

-5.4MiB live, 671.5MiB allocated

Rules

21 676×	`lower-fma.f64`
21 676×	`lower-fma.f32`
19 320×	`lower-fma.f64`
19 320×	`lower-fma.f32`
15 898×	`lower-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	1476
1	117	1476
2	383	1462
3	1958	1452
4	4779	1444
5	6925	1444
0	8022	1432
0	51	313
0	78	265
1	258	237
0	1281	237
0	12	49
0	20	49
1	55	49
2	217	45
3	1946	39
0	8396	39
0	107	7044
1	257	7044
2	742	6952
3	2887	6888
4	4832	6888
0	8269	6828
0	65	8186
1	159	8186
2	464	8116
3	1847	8066
4	4632	8026
5	6830	8026
0	8081	7969
0	38	239
0	61	215
1	206	185
0	1114	185

Stop Event

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

Compiler

Compiled 750 to 317 computations (57.7% saved)

preprocess104.0ms (1.1%)

Memory

0.6MiB live, 238.3MiB allocated

Remove

(abs x)

(abs c)

Compiler

Compiled 1 908 to 792 computations (58.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	51	402
0	78	402
1	161	402
2	345	402
3	709	402
4	770	402
5	770	402
6	894	402
7	900	402
8	900	402
0	900	402

Iter	Nodes	Cost
0	59	460
0	86	460
1	176	460
2	363	460
3	703	460
4	749	460
5	749	460
6	908	460
7	908	460
0	908	457

Iter	Nodes	Cost
0	51	402
0	78	402
1	161	402
2	345	402
3	709	402
4	770	402
5	770	402
6	894	402
7	900	402
8	900	402
0	900	402

Iter	Nodes	Cost
0	59	460
0	86	460
1	176	460
2	363	460
3	703	460
4	749	460
5	749	460
6	908	460
7	908	460
0	908	457

start0.0ms (0%)

analyze138.0ms (1.5%)

sample1.6s (17.3%)

explain351.0ms (3.9%)

preprocess65.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify15.0ms (0.2%)

localize41.0ms (0.5%)

series42.0ms (0.5%)

simplify229.0ms (2.5%)

rewrite193.0ms (2.1%)

eval141.0ms (1.6%)

prune173.0ms (1.9%)

simplify159.0ms (1.8%)

localize144.0ms (1.6%)

series65.0ms (0.7%)

simplify309.0ms (3.4%)

rewrite101.0ms (1.1%)

eval148.0ms (1.6%)

prune374.0ms (4.1%)

simplify42.0ms (0.5%)

localize178.0ms (2%)

series82.0ms (0.9%)

simplify200.0ms (2.2%)

rewrite102.0ms (1.1%)

eval218.0ms (2.4%)

prune662.0ms (7.3%)

simplify21.0ms (0.2%)

localize172.0ms (1.9%)

series84.0ms (0.9%)

simplify201.0ms (2.2%)

rewrite68.0ms (0.7%)

eval161.0ms (1.8%)

prune730.0ms (8%)

regimes180.0ms (2%)

regimes140.0ms (1.5%)

regimes129.0ms (1.4%)

regimes74.0ms (0.8%)

regimes56.0ms (0.6%)

regimes79.0ms (0.9%)

regimes16.0ms (0.2%)

regimes13.0ms (0.1%)

regimes59.0ms (0.7%)

bsearch16.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

soundness1.0s (11.3%)

preprocess104.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	51	402
0	78	402
1	161	402
2	345	402
3	709	402
4	770	402
5	770	402
6	894	402
7	900	402
8	900	402
0	900	402

Iter	Nodes	Cost
0	59	460
0	86	460
1	176	460
2	363	460
3	703	460
4	749	460
5	749	460
6	908	460
7	908	460
0	908	457