Metrics for mixedcos

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze137.0ms (2.1%)

Memory

3.2MiB live, 139.6MiB allocated; 13ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample1.9s (29.7%)

Memory

4.2MiB live, 1 556.3MiB allocated; 1.0s collecting garbage

Samples

1.4s

8 256×

valid

Precisions

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

ival-div: 348.0ms (34.2% of total)

ival-mult: 277.0ms (27.2% of total)

ival-cos: 223.0ms (21.9% of total)

ival-pow2: 153.0ms (15% of total)

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

exact: 5.0ms (0.5% of total)

adjust: 3.0ms (0.3% of total)

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

Bogosity

explain223.0ms (3.5%)

Memory

4.3MiB live, 192.9MiB allocated; 24ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
59	0	-	1	(6.762285567025029e-114 1.5749330765015198e-158 1.180387853450157e+183)	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`
40	0	-	2	(-8.498249161450346e+190 -2.9188855855278e-101 1.0549057359688668e-155)	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`
17	0	-	3	(9.675739561438902e+203 -1.4353389999178296e+230 1.7393655231289436e-261)	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`
3	0	-	0	-	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
1	132	(8.630774023884403e+197 -0.00031306293177225025 1.5668527763330787e-49)	0	-	`(cos.f64 (*.f64 #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	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	132	1
`*.f64`	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	*nu**	21	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*ou**	20	0
↳	`(pow.f64 c #s(literal 2 binary64))`	overflow	69
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	underflow	65
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	underflow	52
↳	`(pow.f64 s #s(literal 2 binary64))`	underflow	61
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*uo**	19	0
↳	`(pow.f64 c #s(literal 2 binary64))`	underflow	53
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	overflow	71
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	overflow	59
↳	`(pow.f64 s #s(literal 2 binary64))`	overflow	60
`*.f64`	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	*no**	17	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*no**	12	0
`*.f64`	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	*nu**	10	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.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**	4	0
`/.f64`	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`	n/o	3	0
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	overflow	71
↳	`(pow.f64 c #s(literal 2 binary64))`	overflow	69
↳	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	overflow	80
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	overflow	59
↳	`(pow.f64 s #s(literal 2 binary64))`	overflow	60
`cos.f64`	`(cos.f64 (*.f64 #s(literal 2 binary64) x))`	oflow-rescue	1	0
↳	`(*.f64 #s(literal 2 binary64) x)`	overflow	1

Confusion

	Predicted +	Predicted -
+	93	0
-	92	71

Precision

0.5027027027027027

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	93	0	0
-	92	0	71

Precision?

0.5027027027027027

Recall?

1.0

Freqs

test

number	freq
0	71
1	130
2	49
3	6

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

98.0ms

512×

valid

Compiler

Compiled 132 to 40 computations (69.7% saved)

Precisions

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

ival-mult: 53.0ms (68.4% of total)

ival-cos: 11.0ms (14.2% of total)

ival-pow2: 10.0ms (12.9% of total)

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

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess210.0ms (3.3%)

Memory

-3.7MiB live, 187.4MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	169
1	152	163
2	512	163
3	2060	163
4	5322	163
0	12	16
0	20	16
1	40	16
2	107	16
3	397	16
4	2370	16
5	6345	16
0	8038	16

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs x)

(abs c)

(abs s)

(sort c s)

Compiler

Compiled 16 to 12 computations (25% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))

Compiler

Compiled 16 to 12 computations (25% saved)

simplify174.0ms (2.7%)

Memory

-14.6MiB live, 130.5MiB allocated; 24ms collecting garbage

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	56
0	20	56
1	40	56
2	107	56
3	397	56
4	2370	56
5	6345	56
0	8038	56

Stop Event

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

Calls

Call 1

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

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

localize68.0ms (1%)

Memory

-20.7MiB live, 87.1MiB allocated; 12ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.48451922246252577	(/.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	3.38897137175992	(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)
accuracy	8.976773065715367	(*.f64 x (pow.f64 s #s(literal 2 binary64)))
accuracy	14.050389567985683	(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))

Samples

30.0ms

256×

valid

Compiler

Compiled 58 to 14 computations (75.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-cos: 6.0ms (28.8% of total)

ival-mult: 6.0ms (28.8% of total)

ival-div: 5.0ms (24% of total)

ival-pow2: 4.0ms (19.2% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series23.0ms (0.3%)

Memory

29.7MiB live, 29.7MiB allocated; 0ms collecting garbage

Counts

6 → 14

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

Calls

9 calls:

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

simplify265.0ms (4.1%)

Memory

11.9MiB live, 281.9MiB allocated; 43ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	362
1	168	346
2	624	326
3	4814	326
0	8683	315

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 14

Calls

Call 1

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

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

rewrite73.0ms (1.1%)

Memory

6.7MiB live, 51.3MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	46
0	20	46
1	59	46
0	288	46

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

6 → 52

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

eval17.0ms (0.3%)

Memory: -37.1MiB live, 17.1MiB allocated; 10ms collecting garbage
Compiler: Compiled 1 453 to 251 computations (82.7% saved)

prune10.0ms (0.2%)

Memory

18.8MiB live, 18.8MiB allocated; 0ms collecting garbage

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	51	15	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	15	67

Accuracy

87.8%

Counts

67 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.4%	(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c c)) (.f64 (.f64 s s) x)) x)
	65.5%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 (.f64 c c) x) (*.f64 s s))) x)
	64.4%	(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
	74.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 (*.f64 x s) s) x)))
	69.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 (.f64 s s) x) x) c) c))
▶	64.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 s s) x) x) (.f64 c c)))
	65.6%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c c) x) (.f64 s s)) x))
	66.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s s) x) (.f64 x (.f64 c c))))
▶	71.6%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 (*.f64 c c) x) x) s) s)))
	44.2%	(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 s s) x) x) c) c)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 s s) x) x) c) c)))
	26.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) s) (.f64 (.f64 s c) c)) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) s) (.f64 (.f64 s c) c))) (*.f64 x x)))
▶	45.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 c c) x) x) s) s)))
▶	75.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 c c) x)) (.f64 s x)) s))
	59.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 c c) x) x)) s) s))
	30.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) x) x)) s) s) (/.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 (.f64 (*.f64 s c) c) s))))

Compiler

Compiled 780 to 516 computations (33.8% saved)

simplify133.0ms (2.1%)

Memory

-6.1MiB live, 126.9MiB allocated; 15ms collecting garbage

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	410
0	68	410
1	152	410
2	502	410
3	4878	410
0	8832	410

Stop Event

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

Calls

Call 1

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

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

localize197.0ms (3%)

Memory

-32.3MiB live, 141.0MiB allocated; 31ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.27668414748600745	(/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c c))
accuracy	3.032192701783659	(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c c)) (.f64 (.f64 s s) x)) x)
accuracy	8.976773065715367	(.f64 (.f64 s s) x)
accuracy	16.110279783824375	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c c)) (.f64 (.f64 s s) x))
accuracy	0.48451922246252577	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 s s) x) x) (.f64 c c)))
accuracy	3.38897137175992	(.f64 (.f64 (*.f64 s s) x) x)
accuracy	8.976773065715367	(.f64 (.f64 s s) x)
accuracy	14.050389567985683	(.f64 (.f64 (.f64 (.f64 s s) x) x) (*.f64 c c))
accuracy	4.026635361730778	(.f64 (.f64 (*.f64 c c) x) x)
accuracy	4.328218789216223	(.f64 (.f64 (.f64 (.f64 c c) x) x) s)
accuracy	4.801005831906728	(.f64 (.f64 (.f64 (.f64 (*.f64 c c) x) x) s) s)
accuracy	8.020831941021065	(.f64 (.f64 c c) x)
accuracy	4.801005831906728	(.f64 (.f64 (.f64 (.f64 (*.f64 c c) x) x) s) s)
accuracy	8.020831941021065	(.f64 (.f64 c c) x)
accuracy	13.7498570662372	(/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 c c) x) x) s) s))
accuracy	24.03903336563112	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 c c) x) x) s) s)))
accuracy	0.25680219633924395	(/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (*.f64 c c) x))
accuracy	5.027245403660182	(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 c c) x)) (.f64 s x)) s)
accuracy	8.020831941021065	(.f64 (.f64 c c) x)
accuracy	9.000979524784723	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 c c) x)) (.f64 s x))

Samples

143.0ms

256×

valid

Compiler

Compiled 354 to 39 computations (89% saved)

Precisions

Click to see histograms. Total time spent on operations: 120.0ms

ival-mult: 91.0ms (75.9% of total)

ival-div: 12.0ms (10% of total)

ival-cos: 11.0ms (9.2% of total)

ival-pow2: 4.0ms (3.3% of total)

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series61.0ms (0.9%)

Memory

1.5MiB live, 101.7MiB allocated; 13ms collecting garbage

Counts

24 → 69

Calls

Call 1

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

Outputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) s) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) s) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) s) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) s) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) #s(hole binary64 (/ 1 (* (pow c 2) (* s (pow x 2))))))
#s(approx (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) s))) (/ 1 (* (pow c 2) s))) (pow x 2))))
#s(approx (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) s))) (* 2 (/ 1 (* (pow c 2) s))))) (/ 1 (* (pow c 2) s))) (pow x 2))))
#s(approx (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) #s(hole binary64 (/ (+ (* (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))) (pow x 2))))
#s(approx (/ (cos (* -2 x)) (* (* c c) x)) #s(hole binary64 (/ 1 (* (pow c 2) x))))
#s(approx (/ (cos (* -2 x)) (* (* c c) x)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (pow c 2))) (/ 1 (pow c 2))) x)))
#s(approx (/ (cos (* -2 x)) (* (* c c) x)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (pow c 2))) (* 2 (/ 1 (pow c 2))))) (/ 1 (pow c 2))) x)))
#s(approx (/ (cos (* -2 x)) (* (* c c) x)) #s(hole binary64 (/ (+ (* (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)))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (+ (* -2 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* -2 (* x x)) 1) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (/ (cos (* 2 x)) (* (* (* (* s s) x) x) (* c c))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* (* (* (* s s) x) x) (* c c))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* (* (* s s) x) x) (* c c))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (cos (* 2 x)) (* (* (* (* s s) x) x) (* c c))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (* (* (* (* s s) x) x) (* c c)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) x)))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) x)))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) #s(hole binary64 (/ (+ (* (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)))) x)))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) #s(hole binary64 (/ (+ (* (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)))) x)))
#s(approx (/ (cos (* -2 x)) (* c c)) #s(hole binary64 (/ 1 (pow c 2))))
#s(approx (/ (cos (* -2 x)) (* c c)) #s(hole binary64 (+ (* -2 (/ (pow x 2) (pow c 2))) (/ 1 (pow c 2)))))
#s(approx (/ (cos (* -2 x)) (* c c)) #s(hole binary64 (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (pow c 2))) (* 2 (/ 1 (pow c 2))))) (/ 1 (pow c 2)))))
#s(approx (/ (cos (* -2 x)) (* c c)) #s(hole binary64 (+ (* (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)))))
#s(approx (cos (* -2 x)) #s(hole binary64 1))
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* (* c c) x) #s(hole binary64 (* (pow c 2) x)))
#s(approx (* (* (* (* (* c c) x) x) s) s) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* (* (* c c) x) x) s) #s(hole binary64 (* (pow c 2) (* s (pow x 2)))))
#s(approx (* (* (* c c) x) x) #s(hole binary64 (* (pow c 2) (pow x 2))))
#s(approx (* (* s s) x) #s(hole binary64 (* (pow s 2) x)))
#s(approx (* (* (* s s) x) x) #s(hole binary64 (* (pow s 2) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) s) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* s (pow x 2))))))
#s(approx (/ (cos (* -2 x)) (* (* c c) x)) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) x))))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) #s(hole binary64 (/ -2 (* (pow c 2) (pow s 2)))))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) #s(hole binary64 (- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))))
#s(approx (+ (* -2 (* x x)) 1) #s(hole binary64 (* -2 (pow x 2))))
#s(approx (+ (* -2 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 2))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (/ (cos (* 2 x)) (* (* (* (* s s) x) x) (* c c))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) x)))))
#s(approx (/ (cos (* -2 x)) (* c c)) #s(hole binary64 (/ (cos (* -2 x)) (pow c 2))))
#s(approx (cos (* -2 x)) #s(hole binary64 (cos (* -2 x))))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) #s(hole binary64 (/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))))

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	x	@	-inf	((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) s) (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/ (cos (* -2 x)) (* (* c c) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (+ (* -2 (* x x)) 1) (* x x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (cos (* 2 x)) (* (* (* (* s s) x) x) (* c c))) (* (* (* (* s s) x) x) (* c c)) (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) (/ (cos (* -2 x)) (* c c)) (cos (* -2 x)) (* (* c c) x) (* (* (* (* (* c c) x) x) s) s) (* (* (* (* c c) x) x) s) (* (* (* c c) x) x) (* (* s s) x) (* (* (* s s) x) x))
10.0ms	s	@	inf	((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) s) (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/ (cos (* -2 x)) (* (* c c) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (+ (* -2 (* x x)) 1) (* x x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (cos (* 2 x)) (* (* (* (* s s) x) x) (* c c))) (* (* (* (* s s) x) x) (* c c)) (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) (/ (cos (* -2 x)) (* c c)) (cos (* -2 x)) (* (* c c) x) (* (* (* (* (* c c) x) x) s) s) (* (* (* (* c c) x) x) s) (* (* (* c c) x) x) (* (* s s) x) (* (* (* s s) x) x))
6.0ms	c	@	0	((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) s) (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/ (cos (* -2 x)) (* (* c c) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (+ (* -2 (* x x)) 1) (* x x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (cos (* 2 x)) (* (* (* (* s s) x) x) (* c c))) (* (* (* (* s s) x) x) (* c c)) (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) (/ (cos (* -2 x)) (* c c)) (cos (* -2 x)) (* (* c c) x) (* (* (* (* (* c c) x) x) s) s) (* (* (* (* c c) x) x) s) (* (* (* c c) x) x) (* (* s s) x) (* (* (* s s) x) x))
6.0ms	x	@	inf	((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) s) (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/ (cos (* -2 x)) (* (* c c) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (+ (* -2 (* x x)) 1) (* x x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (cos (* 2 x)) (* (* (* (* s s) x) x) (* c c))) (* (* (* (* s s) x) x) (* c c)) (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) (/ (cos (* -2 x)) (* c c)) (cos (* -2 x)) (* (* c c) x) (* (* (* (* (* c c) x) x) s) s) (* (* (* (* c c) x) x) s) (* (* (* c c) x) x) (* (* s s) x) (* (* (* s s) x) x))
5.0ms	s	@	-inf	((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) s) (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/ (cos (* -2 x)) (* (* c c) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (+ (* -2 (* x x)) 1) (* x x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (cos (* 2 x)) (* (* (* (* s s) x) x) (* c c))) (* (* (* (* s s) x) x) (* c c)) (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) (/ (cos (* -2 x)) (* c c)) (cos (* -2 x)) (* (* c c) x) (* (* (* (* (* c c) x) x) s) s) (* (* (* (* c c) x) x) s) (* (* (* c c) x) x) (* (* s s) x) (* (* (* s s) x) x))

simplify131.0ms (2%)

Memory

10.5MiB live, 149.8MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	207	2207
1	492	2075
2	2174	1989
0	8361	1916

Stop Event

1×	iter limit
1×	node limit

Counts

69 → 69

Calls

Call 1

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

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

rewrite65.0ms (1%)

Memory

18.3MiB live, 67.2MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	306
0	68	306
1	208	270
0	1115	270

Stop Event

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

Counts

24 → 378

Calls

Call 1

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

Outputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c)) c))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (.f64 s x) #s(literal 2 binary64))) (neg.f64 c)) (neg.f64 c))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (.f64 s x) #s(literal 2 binary64))) (fabs.f64 c)) (fabs.f64 c))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (.f64 s x) #s(literal 2 binary64))) c) c)
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c)) c)
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 s s) x)) (.f64 (*.f64 c c) x))
(/.f64 (neg.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (.f64 s x) #s(literal 2 binary64)))) (*.f64 (neg.f64 c) c))
(/.f64 (neg.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64)))) (neg.f64 (.f64 (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) (neg.f64 c))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (.f64 s x)) (.f64 s x))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (.f64 s x) #s(literal 2 binary64))) (*.f64 c c))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (.f64 s s)) (.f64 x x))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) c) (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c))
(/.f64 (/.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64))) (.f64 (.f64 c c) x)) (.f64 (.f64 (neg.f64 x) s) s))
(/.f64 (/.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64))) (.f64 (.f64 c c) x)) (.f64 (neg.f64 x) (.f64 s s)))
(/.f64 (/.f64 (/.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64))) (.f64 c c)) (.f64 (*.f64 s s) x)) (neg.f64 x))
(/.f64 (/.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64))) (.f64 c c)) (.f64 (.f64 (neg.f64 x) (.f64 s s)) x))
(/.f64 (/.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64))) (.f64 c c)) (neg.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64))))
(/.f64 (/.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64))) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) s)) (neg.f64 s))
(/.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64))) (.f64 (.f64 (.f64 (neg.f64 c) c) x) (.f64 (*.f64 s s) x)))
(/.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64))) (.f64 (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) (neg.f64 c)))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (.f64 (.f64 s s) x)) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (.f64 (.f64 s s) x)) x)
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (.f64 c x) #s(literal 2 binary64))) s) (neg.f64 (neg.f64 s)))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (.f64 c x) #s(literal 2 binary64))) s) s)
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) x) (.f64 (.f64 s s) x))
(neg.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64))) (.f64 c c)) (.f64 (*.f64 s s) x)) x))
(neg.f64 (/.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64))) (.f64 (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c)))
(neg.f64 (/.f64 (/.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64))) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) s)) s))
(neg.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (.f64 (.f64 s s) x)) (neg.f64 x)))
(neg.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) (neg.f64 c))))
(neg.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (.f64 c x) #s(literal 2 binary64))) s) (neg.f64 s)))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c)))
(/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) x) x) s)
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (.f64 c x) #s(literal 2 binary64))) s)
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) s) (pow.f64 (.f64 c x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (*.f64 s x))) (neg.f64 x))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (*.f64 s x)) x)
(/.f64 (/.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64))) (.f64 (.f64 c c) x)) (*.f64 (neg.f64 x) s))
(/.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64))) (.f64 (.f64 (.f64 (neg.f64 c) c) x) (.f64 s x)))
(/.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64))) (neg.f64 (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) s)))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (.f64 x (.f64 s x)))
(/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) x) (neg.f64 (*.f64 (neg.f64 x) s)))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) x) (*.f64 s x))
(neg.f64 (/.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64))) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) s)))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) x) (.f64 c c))
(/.f64 (neg.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64)))) (neg.f64 (.f64 (.f64 (neg.f64 c) c) x)))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) c) (.f64 c x))
(/.f64 (/.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64))) (*.f64 c c)) (neg.f64 x))
(/.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64))) (.f64 (.f64 (neg.f64 c) c) x))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) x)
(/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (*.f64 c c) x))
(neg.f64 (/.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64))) (.f64 (.f64 c c) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) (.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)))
(/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (pow.f64 (.f64 c x) #s(literal 2 binary64))) (*.f64 s s))
(/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) (.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) s) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) s)) (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) s) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) s))) (.f64 (pow.f64 (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c) #s(literal -1 binary64)) (pow.f64 (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c) #s(literal -1 binary64)))) (-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) s) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) s)) (pow.f64 (.f64 (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) s) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) s)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) s) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) s)) (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) s) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) s)) (-.f64 (.f64 (pow.f64 (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c) #s(literal -1 binary64)) (pow.f64 (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c) #s(literal -1 binary64))) (.f64 (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) s) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) s)) (pow.f64 (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) (pow.f64 (.f64 c x) #s(literal 2 binary64)))) (neg.f64 s))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))) (neg.f64 (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) (neg.f64 c))))
(/.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c) (.f64 (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c) (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c)))
(/.f64 (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) (pow.f64 (.f64 c x) #s(literal 2 binary64))) s)
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)) (.f64 (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c)))
(/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c)))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) (neg.f64 c)))
(/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c)))
(neg.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) (neg.f64 c))))
(fma.f64 (/.f64 (.f64 x x) (pow.f64 (.f64 c x) #s(literal 2 binary64))) (/.f64 #s(literal -2 binary64) (.f64 s s)) (pow.f64 (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c) #s(literal -1 binary64)))
(fma.f64 (/.f64 (.f64 #s(literal -2 binary64) x) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) s)) (/.f64 x s) (pow.f64 (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c) #s(literal -1 binary64)))
(fma.f64 (/.f64 (.f64 #s(literal -2 binary64) x) (pow.f64 (.f64 c x) #s(literal 2 binary64))) (/.f64 x (.f64 s s)) (pow.f64 (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c) #s(literal -1 binary64)))
(fma.f64 (/.f64 (.f64 #s(literal -2 binary64) x) s) (/.f64 x (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) s)) (pow.f64 (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c) #s(literal -1 binary64)))
(fma.f64 (/.f64 (.f64 x x) s) (/.f64 #s(literal -2 binary64) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) s)) (pow.f64 (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal -2 binary64) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) s)) (/.f64 (.f64 x x) s) (pow.f64 (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal -2 binary64) (pow.f64 (.f64 c x) #s(literal 2 binary64))) (/.f64 (.f64 x x) (.f64 s s)) (pow.f64 (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c) #s(literal -1 binary64)))
(fma.f64 (/.f64 (.f64 x x) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) s)) (/.f64 #s(literal -2 binary64) s) (pow.f64 (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal -2 binary64) s) (/.f64 (.f64 x x) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) s)) (pow.f64 (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 c x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 s s)) (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) s) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) s)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) s)) (/.f64 #s(literal 1 binary64) s) (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) s) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) s)))
(fma.f64 (/.f64 #s(literal 1 binary64) s) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) s)) (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) s) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) s)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c) #s(literal -1 binary64)) (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) s) (.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)))
(fma.f64 (.f64 x x) (/.f64 #s(literal -2 binary64) (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c)) (pow.f64 (.f64 (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c) #s(literal -1 binary64)))
(fma.f64 (.f64 #s(literal -2 binary64) x) (/.f64 x (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c)) (pow.f64 (.f64 (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c) #s(literal -1 binary64)))
(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 x x) (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c)) (pow.f64 (.f64 (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c) #s(literal -1 binary64)))
(+.f64 (pow.f64 (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c) #s(literal -1 binary64)) (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) s) (.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)))
(+.f64 (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) s) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) s)) (pow.f64 (.f64 (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -8 binary64) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 x x) #s(literal -2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) (.f64 (*.f64 x x) #s(literal -2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 x x) #s(literal -2 binary64))))
(fma.f64 (*.f64 #s(literal -2 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 x) #s(literal 1 binary64))
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(/.f64 (/.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64))) (.f64 c c)) (.f64 (neg.f64 x) (*.f64 s s)))
(/.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64))) (.f64 (.f64 (neg.f64 c) c) (.f64 (.f64 s s) x)))
(/.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64))) (neg.f64 (.f64 (.f64 (.f64 c c) s) (.f64 s x))))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (neg.f64 (.f64 (neg.f64 x) (.f64 s s))))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (.f64 (.f64 s s) x))
(/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 (.f64 c c) s) (*.f64 s x)))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) x) (*.f64 s s))
(neg.f64 (/.f64 (/.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64))) (.f64 c c)) (.f64 (*.f64 s s) x)))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (neg.f64 c)) (neg.f64 c))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (fabs.f64 c)) (fabs.f64 c))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) c)) (neg.f64 c))
(/.f64 (neg.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64)))) (*.f64 c c))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) c) c)
(/.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64))) (*.f64 (neg.f64 c) c))
(/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c))
(neg.f64 (/.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64))) (*.f64 c c)))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 c c)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 c c)))
(*.f64 (+.f64 (cos.f64 x) (sin.f64 x)) (-.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (fma.f64 (cos.f64 x) (cos.f64 x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))
(fma.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (fabs.f64 (cos.f64 x)) (fabs.f64 (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 (.f64 #s(literal -2 binary64) x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (sin.f64 (.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (cos.f64 x) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(sin.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(+.f64 (.f64 (sin.f64 (.f64 #s(literal -2 binary64) x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (.f64 (sin.f64 (.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(.f64 (.f64 x (neg.f64 c)) (neg.f64 c))
(.f64 (.f64 x (fabs.f64 c)) (fabs.f64 c))
(.f64 (.f64 c x) c)
(.f64 (neg.f64 c) (.f64 (neg.f64 c) x))
(.f64 (fabs.f64 c) (.f64 (fabs.f64 c) x))
(.f64 (.f64 c c) x)
(.f64 c (.f64 c x))
(.f64 x (.f64 c c))
(.f64 (.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) (neg.f64 s)) (neg.f64 s))
(.f64 (.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) (fabs.f64 s)) (fabs.f64 s))
(.f64 (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (neg.f64 c)) (neg.f64 c))
(.f64 (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (fabs.f64 c)) (fabs.f64 c))
(.f64 (.f64 (.f64 (.f64 s s) x) c) (*.f64 c x))
(.f64 (.f64 (.f64 c c) (.f64 s s)) (*.f64 x x))
(.f64 (.f64 s (.f64 (.f64 c c) x)) (*.f64 s x))
(.f64 (.f64 (.f64 (.f64 c c) s) (*.f64 s x)) x)
(.f64 (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c)
(.f64 (neg.f64 c) (.f64 (neg.f64 c) (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(.f64 (fabs.f64 c) (.f64 (fabs.f64 c) (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) (*.f64 c c))
(.f64 (.f64 (.f64 s s) x) (.f64 (*.f64 c c) x))
(.f64 (.f64 s s) (pow.f64 (*.f64 c x) #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s) s)
(.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) (*.f64 s s))
(.f64 (.f64 (.f64 c c) x) (.f64 (*.f64 s s) x))
(.f64 (.f64 c c) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(.f64 s (.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s))
(.f64 c (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c))
(.f64 x (.f64 (.f64 s s) (.f64 (*.f64 c c) x)))
(.f64 x (.f64 (.f64 (.f64 c c) s) (*.f64 s x)))
(.f64 (.f64 (.f64 (.f64 c c) x) s) x)
(.f64 (.f64 s (.f64 (.f64 c c) x)) x)
(.f64 (.f64 s (.f64 c c)) (.f64 x x))
(.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) s)
(.f64 (.f64 s x) (.f64 (.f64 c c) x))
(.f64 (.f64 (.f64 c c) x) (.f64 s x))
(.f64 (.f64 c c) (.f64 (.f64 x x) s))
(.f64 (.f64 c c) (.f64 x (.f64 s x)))
(.f64 s (pow.f64 (.f64 c x) #s(literal 2 binary64)))
(.f64 c (.f64 (.f64 c x) (.f64 s x)))
(.f64 x (.f64 (.f64 c c) (.f64 s x)))
(.f64 x (.f64 (.f64 (.f64 c c) x) s))
(.f64 (.f64 (*.f64 c c) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (neg.f64 c) (neg.f64 x)) (*.f64 (neg.f64 c) (neg.f64 x)))
(.f64 (.f64 (neg.f64 c) (fabs.f64 x)) (*.f64 (neg.f64 c) (fabs.f64 x)))
(.f64 (.f64 (neg.f64 c) x) (*.f64 (neg.f64 c) x))
(.f64 (.f64 (fabs.f64 c) (neg.f64 x)) (*.f64 (fabs.f64 c) (neg.f64 x)))
(.f64 (.f64 (fabs.f64 c) (fabs.f64 x)) (*.f64 (fabs.f64 c) (fabs.f64 x)))
(.f64 (.f64 (fabs.f64 c) x) (*.f64 (fabs.f64 c) x))
(.f64 (.f64 c (neg.f64 x)) (*.f64 c (neg.f64 x)))
(.f64 (.f64 c (fabs.f64 x)) (*.f64 c (fabs.f64 x)))
(.f64 (.f64 c x) (*.f64 c x))
(.f64 (.f64 (*.f64 (neg.f64 c) c) x) (neg.f64 x))
(.f64 (neg.f64 c) (.f64 (neg.f64 c) (*.f64 x x)))
(.f64 (fabs.f64 c) (.f64 (fabs.f64 c) (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 c c))
(.f64 (.f64 (*.f64 c c) x) x)
(.f64 (.f64 c c) (*.f64 x x))
(.f64 c (.f64 (*.f64 c x) x))
(.f64 c (.f64 c (*.f64 x x)))
(.f64 x (.f64 (*.f64 c c) x))
(pow.f64 (*.f64 c x) #s(literal 2 binary64))
(.f64 (.f64 x (fabs.f64 s)) (fabs.f64 s))
(.f64 (.f64 (neg.f64 x) s) (neg.f64 s))
(.f64 (neg.f64 s) (.f64 (neg.f64 x) s))
(.f64 (fabs.f64 s) (.f64 (fabs.f64 s) x))
(.f64 (.f64 s s) x)
(.f64 (.f64 s x) s)
(.f64 s (.f64 s x))
(.f64 x (.f64 s s))
(.f64 (.f64 (*.f64 s s) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (neg.f64 s) (neg.f64 x)) (*.f64 (neg.f64 s) (neg.f64 x)))
(.f64 (.f64 (neg.f64 s) (fabs.f64 x)) (*.f64 (neg.f64 s) (fabs.f64 x)))
(.f64 (.f64 (fabs.f64 s) (neg.f64 x)) (*.f64 (fabs.f64 s) (neg.f64 x)))
(.f64 (.f64 (fabs.f64 s) (fabs.f64 x)) (*.f64 (fabs.f64 s) (fabs.f64 x)))
(.f64 (.f64 (fabs.f64 s) x) (*.f64 (fabs.f64 s) x))
(.f64 (.f64 s (fabs.f64 x)) (*.f64 s (fabs.f64 x)))
(.f64 (.f64 (neg.f64 x) s) (*.f64 (neg.f64 x) s))
(.f64 (.f64 (neg.f64 x) (*.f64 s s)) (neg.f64 x))
(.f64 (neg.f64 s) (.f64 (neg.f64 s) (*.f64 x x)))
(.f64 (fabs.f64 s) (.f64 (fabs.f64 s) (*.f64 x x)))
(.f64 (.f64 (*.f64 s s) x) x)
(.f64 (.f64 s s) (*.f64 x x))
(.f64 (.f64 x x) (*.f64 s s))
(.f64 (.f64 s x) (*.f64 s x))
(.f64 s (.f64 (*.f64 s x) x))
(.f64 s (.f64 s (*.f64 x x)))
(.f64 x (.f64 (*.f64 s s) x))
(pow.f64 (*.f64 s x) #s(literal 2 binary64))

eval45.0ms (0.7%)

Memory: -1.2MiB live, 84.7MiB allocated; 12ms collecting garbage
Compiler: Compiled 13 186 to 1 399 computations (89.4% saved)

prune54.0ms (0.8%)

Memory

12.9MiB live, 59.9MiB allocated; 2ms collecting garbage

Pruning

37 alts after pruning (37 fresh and 0 done)

	Pruned	Kept	Total
New	380	34	414
Fresh	7	3	10
Picked	5	0	5
Done	0	0	0
Total	392	37	429

Accuracy

99.2%

Counts

429 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.0%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 s s) x) x) (*.f64 c c)))
	71.6%	(/.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)))
	76.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) (.f64 s s)))
	69.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 (.f64 s s) x) x) c) c))
	65.6%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c c) x) (.f64 s s)) x))
	76.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s x) (.f64 s x)) (.f64 c c)))
	81.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)))
	84.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) (*.f64 c x)) s) s)))
	69.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c (.f64 c (*.f64 x x))) s) s)))
	76.4%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 x (.f64 (.f64 c c) (*.f64 s x))) s)))
▶	86.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 c (.f64 (.f64 c x) (*.f64 s x))) s)))
	84.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (* (* (* (* c c) x) x) s) s) (.f64 (.f64 (.f64 (.f64 s x) s) c) (*.f64 c x))))
	49.8%	(/.f64 #s(approx (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) (/.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) x) x #s(literal 1 binary64)) c) (.f64 c (.f64 (.f64 s x) s)))) x)
	59.6%	(/.f64 #s(approx (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 (*.f64 s s) c) c))) x)
	40.1%	(/.f64 #s(approx (cos (* -2 x)) (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))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 (*.f64 c c) x) x) s) s)))
	41.3%	(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 (*.f64 c c) x) x) s) s)))
	55.6%	(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 s s) x) x) (*.f64 c c)))
	60.2%	(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 (*.f64 c c) x) x) s) s)))
	29.3%	#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) (/.f64 (fma.f64 (.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 (.f64 (.f64 s s) c) c)) (.f64 x x)) (.f64 x x) (/.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) x) x #s(literal 1 binary64)) c) (.f64 c (.f64 s s)))) (*.f64 x x)))
▶	68.0%	#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 s (.f64 c c))) x) (*.f64 s x)))
▶	72.8%	#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 c c) x)) (.f64 (*.f64 s x) s)))
	26.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) s) (.f64 (.f64 s c) c)) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) s) (.f64 (.f64 s c) c))) (*.f64 x x)))
	55.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c)))
	49.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 c c) x) s) x) s)))
	46.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c x) (.f64 c x)) s) s)))
	50.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x (.f64 (.f64 c c) (.f64 s x))) s)))
	51.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 c (.f64 (.f64 c x) (.f64 s x))) s)))
	84.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (.f64 c x) #s(literal 2 binary64))) s) s))
	79.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (.f64 s x)) (.f64 s x)))
	85.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) s) (pow.f64 (.f64 c x) #s(literal 2 binary64))) s))
	82.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 c x) c)) (.f64 s x)) s))
	83.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c)) c))
	85.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)) s))
	62.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(approx (/ (cos (* -2 x)) (* (* c c) x)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c c)) x)) (.f64 s x)) s))
	60.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 c c) x) x) s))) s))
	17.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) (.f64 (.f64 #s(literal -2 binary64) x) x)) (.f64 (.f64 (.f64 (.f64 (*.f64 c c) x) x) s) s)))
▶	31.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 (/.f64 #s(literal -2 binary64) c) (.f64 c (.f64 s s)))))

Compiler

Compiled 2 356 to 1 550 computations (34.2% saved)

simplify106.0ms (1.6%)

Memory

-17.5MiB live, 127.1MiB allocated; 20ms collecting garbage

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	408
0	94	408
1	215	408
2	654	408
3	3980	408
0	8003	406

Stop Event

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

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

localize227.0ms (3.5%)

Memory

12.7MiB live, 254.8MiB allocated; 29ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.2483736802003386	(cos.f64 (*.f64 #s(literal -2 binary64) x))
accuracy	0.25680219633924395	(/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (*.f64 c c) x))
accuracy	8.020831941021065	(.f64 (.f64 c c) x)
accuracy	12.86948507689916	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 c c) x)) (.f64 (*.f64 s x) s))
accuracy	0.48451922246252577	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 s s) x) x) (*.f64 c c)))
accuracy	3.38897137175992	(.f64 (.f64 (*.f64 s s) x) x)
accuracy	8.976773065715367	(.f64 (.f64 s s) x)
accuracy	14.050389567985683	(.f64 (.f64 (.f64 (.f64 s s) x) x) (*.f64 c c))
accuracy	4.06424808397723	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 s (.f64 c c))) x) (*.f64 s x))
accuracy	7.58627163204253	(.f64 s (.f64 c c))
accuracy	8.833214860261375	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 s (.f64 c c))) x)
accuracy	14.529859599024908	#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 s (.f64 c c))) x) (*.f64 s x)))
accuracy	3.2318566593808526	(/.f64 (/.f64 #s(literal -2 binary64) c) (.f64 c (.f64 s s)))
accuracy	9.67202973205378	(.f64 c (.f64 s s))
accuracy	24.03903336563112	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 (/.f64 #s(literal -2 binary64) c) (.f64 c (.f64 s s)))))
accuracy	25.72533538513684	#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 (/.f64 #s(literal -2 binary64) c) (.f64 c (.f64 s s))))
accuracy	0.48451922246252577	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 c (.f64 (.f64 c x) (*.f64 s x))) s)))
accuracy	2.966456368587328	(.f64 (.f64 c x) (*.f64 s x))
accuracy	4.801005831906728	(.f64 (.f64 c (.f64 (.f64 c x) (*.f64 s x))) s)
accuracy	5.24576627416362	(.f64 c (.f64 (.f64 c x) (.f64 s x)))

Samples

197.0ms

256×

valid

Compiler

Compiled 315 to 52 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 138.0ms

ival-mult: 55.0ms (39.9% of total)

ival-add: 29.0ms (21% of total)

ival-cos: 26.0ms (18.8% of total)

ival-div: 23.0ms (16.7% of total)

ival-pow2: 4.0ms (2.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series110.0ms (1.7%)

Memory

-26.0MiB live, 115.6MiB allocated; 18ms collecting garbage

Counts

28 → 64

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

Outputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (/ (/ 1 (* s (* c c))) x) (* s x)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ 1 (* s (* c c))) x) #s(hole binary64 (/ 1 (* (pow c 2) (* s x)))))
#s(approx (/ (cos (+ x x)) (* (* (* (* s s) x) x) (* c c))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (+ x x)) (* (* (* (* s s) x) x) (* c c))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (+ x x)) (* (* (* (* s s) x) x) (* c c))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (cos (+ x x)) (* (* (* (* s s) x) x) (* c c))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (cos (+ x x)) #s(hole binary64 1))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (* (* (* (* s s) x) x) (* c c)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (/ (/ (cos (* -2 x)) (* (* c c) x)) (* (* s x) s)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (cos (* -2 x)) (* (* c c) x)) (* (* s x) s)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (cos (* -2 x)) (* (* c c) x)) (* (* s x) s)) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (/ (cos (* -2 x)) (* (* c c) x)) (* (* s x) s)) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (cos (* -2 x)) (* (* c c) x)) #s(hole binary64 (/ 1 (* (pow c 2) x))))
#s(approx (/ (cos (* -2 x)) (* (* c c) x)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (pow c 2))) (/ 1 (pow c 2))) x)))
#s(approx (/ (cos (* -2 x)) (* (* c c) x)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (pow c 2))) (* 2 (/ 1 (pow c 2))))) (/ 1 (pow c 2))) x)))
#s(approx (/ (cos (* -2 x)) (* (* c c) x)) #s(hole binary64 (/ (+ (* (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)))
#s(approx (cos (* -2 x)) #s(hole binary64 1))
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* c (* (* c x) (* s x))) #s(hole binary64 (* (pow c 2) (* s (pow x 2)))))
#s(approx (* (* c (* (* c x) (* s x))) s) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* c x) (* s x)) #s(hole binary64 (* c (* s (pow x 2)))))
#s(approx (* (* s s) x) #s(hole binary64 (* (pow s 2) x)))
#s(approx (* (* (* s s) x) x) #s(hole binary64 (* (pow s 2) (pow x 2))))
#s(approx (* (* c c) x) #s(hole binary64 (* (pow c 2) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) #s(hole binary64 (/ -2 (* (pow c 2) (pow s 2)))))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) #s(hole binary64 (- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (+ x x)) (* (* (* (* s s) x) x) (* c c))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (/ (/ (cos (* -2 x)) (* (* c c) x)) (* (* s x) s)) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* -2 x)) (* (* c c) x)) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) x))))
#s(approx (cos (* -2 x)) #s(hole binary64 (cos (* -2 x))))
#s(approx (/ (cos (+ x x)) (* (* (* (* s s) x) x) (* c c))) #s(hole binary64 (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x)))))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) #s(hole binary64 (/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ -2 c) (* c (* s s))) #s(hole binary64 (/ -2 (* (pow c 2) (pow s 2)))))
#s(approx (/ -2 c) #s(hole binary64 (/ -2 c)))
#s(approx (/ 1 (* s (* c c))) #s(hole binary64 (/ 1 (* (pow c 2) s))))
#s(approx (* c (* s s)) #s(hole binary64 (* c (pow s 2))))
#s(approx (* s (* c c)) #s(hole binary64 (* (pow c 2) s)))

Calls

9 calls:

Time	Variable		Point	Expression
31.0ms	s	@	-inf	((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/ (/ -2 c) (* c (* s s))) (/ -2 c) (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) (/ (/ (/ 1 (* s (* c c))) x) (* s x)) (/ (/ 1 (* s (* c c))) x) (/ 1 (* s (* c c))) (/ (cos (+ x x)) (* (* (* (* s s) x) x) (* c c))) (cos (+ x x)) (+ x x) (* (* (* (* s s) x) x) (* c c)) (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) (/ (/ (cos (* -2 x)) (* (* c c) x)) (* (* s x) s)) (/ (cos (* -2 x)) (* (* c c) x)) (cos (* -2 x)) (* c (* (* c x) (* s x))) (* (* c (* (* c x) (* s x))) s) (* (* c x) (* s x)) (* c (* s s)) (* s (* c c)) (* (* s s) x) (* (* (* s s) x) x) (* (* c c) x))
24.0ms	x	@	inf	((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/ (/ -2 c) (* c (* s s))) (/ -2 c) (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) (/ (/ (/ 1 (* s (* c c))) x) (* s x)) (/ (/ 1 (* s (* c c))) x) (/ 1 (* s (* c c))) (/ (cos (+ x x)) (* (* (* (* s s) x) x) (* c c))) (cos (+ x x)) (+ x x) (* (* (* (* s s) x) x) (* c c)) (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) (/ (/ (cos (* -2 x)) (* (* c c) x)) (* (* s x) s)) (/ (cos (* -2 x)) (* (* c c) x)) (cos (* -2 x)) (* c (* (* c x) (* s x))) (* (* c (* (* c x) (* s x))) s) (* (* c x) (* s x)) (* c (* s s)) (* s (* c c)) (* (* s s) x) (* (* (* s s) x) x) (* (* c c) x))
14.0ms	s	@	0	((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/ (/ -2 c) (* c (* s s))) (/ -2 c) (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) (/ (/ (/ 1 (* s (* c c))) x) (* s x)) (/ (/ 1 (* s (* c c))) x) (/ 1 (* s (* c c))) (/ (cos (+ x x)) (* (* (* (* s s) x) x) (* c c))) (cos (+ x x)) (+ x x) (* (* (* (* s s) x) x) (* c c)) (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) (/ (/ (cos (* -2 x)) (* (* c c) x)) (* (* s x) s)) (/ (cos (* -2 x)) (* (* c c) x)) (cos (* -2 x)) (* c (* (* c x) (* s x))) (* (* c (* (* c x) (* s x))) s) (* (* c x) (* s x)) (* c (* s s)) (* s (* c c)) (* (* s s) x) (* (* (* s s) x) x) (* (* c c) x))
10.0ms	c	@	inf	((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/ (/ -2 c) (* c (* s s))) (/ -2 c) (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) (/ (/ (/ 1 (* s (* c c))) x) (* s x)) (/ (/ 1 (* s (* c c))) x) (/ 1 (* s (* c c))) (/ (cos (+ x x)) (* (* (* (* s s) x) x) (* c c))) (cos (+ x x)) (+ x x) (* (* (* (* s s) x) x) (* c c)) (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) (/ (/ (cos (* -2 x)) (* (* c c) x)) (* (* s x) s)) (/ (cos (* -2 x)) (* (* c c) x)) (cos (* -2 x)) (* c (* (* c x) (* s x))) (* (* c (* (* c x) (* s x))) s) (* (* c x) (* s x)) (* c (* s s)) (* s (* c c)) (* (* s s) x) (* (* (* s s) x) x) (* (* c c) x))
7.0ms	c	@	0	((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/ (/ -2 c) (* c (* s s))) (/ -2 c) (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) (/ (/ (/ 1 (* s (* c c))) x) (* s x)) (/ (/ 1 (* s (* c c))) x) (/ 1 (* s (* c c))) (/ (cos (+ x x)) (* (* (* (* s s) x) x) (* c c))) (cos (+ x x)) (+ x x) (* (* (* (* s s) x) x) (* c c)) (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) (/ (/ (cos (* -2 x)) (* (* c c) x)) (* (* s x) s)) (/ (cos (* -2 x)) (* (* c c) x)) (cos (* -2 x)) (* c (* (* c x) (* s x))) (* (* c (* (* c x) (* s x))) s) (* (* c x) (* s x)) (* c (* s s)) (* s (* c c)) (* (* s s) x) (* (* (* s s) x) x) (* (* c c) x))

simplify122.0ms (1.9%)

Memory

40.8MiB live, 136.2MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	191	1816
1	476	1720
2	1860	1648
0	8031	1596

Stop Event

1×	iter limit
1×	node limit

Counts

64 → 64

Calls

Call 1

Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (/ (/ 1 (* s (* c c))) x) (* s x)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ 1 (* s (* c c))) x) #s(hole binary64 (/ 1 (* (pow c 2) (* s x)))))
#s(approx (/ (cos (+ x x)) (* (* (* (* s s) x) x) (* c c))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (+ x x)) (* (* (* (* s s) x) x) (* c c))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (+ x x)) (* (* (* (* s s) x) x) (* c c))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (cos (+ x x)) (* (* (* (* s s) x) x) (* c c))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (cos (+ x x)) #s(hole binary64 1))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (* (* (* (* s s) x) x) (* c c)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (/ (/ (cos (* -2 x)) (* (* c c) x)) (* (* s x) s)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (cos (* -2 x)) (* (* c c) x)) (* (* s x) s)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (cos (* -2 x)) (* (* c c) x)) (* (* s x) s)) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (/ (cos (* -2 x)) (* (* c c) x)) (* (* s x) s)) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (cos (* -2 x)) (* (* c c) x)) #s(hole binary64 (/ 1 (* (pow c 2) x))))
#s(approx (/ (cos (* -2 x)) (* (* c c) x)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (pow c 2))) (/ 1 (pow c 2))) x)))
#s(approx (/ (cos (* -2 x)) (* (* c c) x)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (pow c 2))) (* 2 (/ 1 (pow c 2))))) (/ 1 (pow c 2))) x)))
#s(approx (/ (cos (* -2 x)) (* (* c c) x)) #s(hole binary64 (/ (+ (* (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)))
#s(approx (cos (* -2 x)) #s(hole binary64 1))
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* c (* (* c x) (* s x))) #s(hole binary64 (* (pow c 2) (* s (pow x 2)))))
#s(approx (* (* c (* (* c x) (* s x))) s) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* c x) (* s x)) #s(hole binary64 (* c (* s (pow x 2)))))
#s(approx (* (* s s) x) #s(hole binary64 (* (pow s 2) x)))
#s(approx (* (* (* s s) x) x) #s(hole binary64 (* (pow s 2) (pow x 2))))
#s(approx (* (* c c) x) #s(hole binary64 (* (pow c 2) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) #s(hole binary64 (/ -2 (* (pow c 2) (pow s 2)))))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) #s(hole binary64 (- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (+ x x)) (* (* (* (* s s) x) x) (* c c))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (/ (/ (cos (* -2 x)) (* (* c c) x)) (* (* s x) s)) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* -2 x)) (* (* c c) x)) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) x))))
#s(approx (cos (* -2 x)) #s(hole binary64 (cos (* -2 x))))
#s(approx (/ (cos (+ x x)) (* (* (* (* s s) x) x) (* c c))) #s(hole binary64 (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x)))))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) #s(hole binary64 (/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ -2 c) (* c (* s s))) #s(hole binary64 (/ -2 (* (pow c 2) (pow s 2)))))
#s(approx (/ -2 c) #s(hole binary64 (/ -2 c)))
#s(approx (/ 1 (* s (* c c))) #s(hole binary64 (/ 1 (* (pow c 2) s))))
#s(approx (* c (* s s)) #s(hole binary64 (* c (pow s 2))))
#s(approx (* s (* c c)) #s(hole binary64 (* (pow c 2) s)))

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

rewrite32.0ms (0.5%)

Memory

-0.9MiB live, 43.5MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	355
0	94	355
0	291	353

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

28 → 90

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

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

eval21.0ms (0.3%)

Memory: -22.9MiB live, 21.7MiB allocated; 4ms collecting garbage
Compiler: Compiled 3 743 to 430 computations (88.5% saved)

prune30.0ms (0.5%)

Memory

17.2MiB live, 63.0MiB allocated; 4ms collecting garbage

Pruning

43 alts after pruning (42 fresh and 1 done)

	Pruned	Kept	Total
New	93	20	113
Fresh	10	22	32
Picked	4	1	5
Done	0	0	0
Total	107	43	150

Accuracy

99.9%

Counts

150 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	86.6%	(/.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 c (.f64 (.f64 c x) (*.f64 s x))) s)))
	69.3%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 (*.f64 s s) x) x) c) c))
	56.8%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 s s) (.f64 x x)) (*.f64 c c)))
	65.8%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 c c) (.f64 (*.f64 s s) x)) x))
	71.6%	(/.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)))
	86.3%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 c (.f64 (.f64 c x) (*.f64 s x))) s)))
	76.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) (.f64 s s)))
▶	88.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 (*.f64 c x) s) x) c) s)))
	81.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)))
	84.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) (*.f64 c x)) s) s)))
▶	75.4%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c c) x) (*.f64 s x)) s)))
	69.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c (.f64 c (*.f64 x x))) s) s)))
	77.6%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 c (.f64 c (.f64 x (*.f64 s x)))) s)))
	87.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 c (.f64 (.f64 (.f64 (*.f64 c x) s) x) s))))
	49.8%	(/.f64 #s(approx (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) (/.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) x) x #s(literal 1 binary64)) c) (.f64 c (.f64 (.f64 s x) s)))) x)
	59.6%	(/.f64 #s(approx (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 (*.f64 s s) c) c))) x)
▶	51.4%	(/.f64 #s(approx (cos (+ x x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 c (.f64 (.f64 c x) (*.f64 s x))) s)))
	69.7%	(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 c (.f64 (.f64 c x) (*.f64 s x))) s)))
	40.1%	(/.f64 #s(approx (cos (* -2 x)) (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))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 (*.f64 c c) x) x) s) s)))
	41.3%	(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 (*.f64 c c) x) x) s) s)))
	55.6%	(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 s s) x) x) (*.f64 c c)))
	60.2%	(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 (*.f64 c c) x) x) s) s)))
▶	28.9%	#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) (/.f64 (fma.f64 (.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 (.f64 s c) (.f64 s c))) (.f64 x x)) (.f64 x x) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (.f64 (.f64 s s) c))) (*.f64 x x)))
	68.0%	#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) (.f64 c c)) x) (.f64 s x)))
	73.4%	#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 s c) c)) x) (*.f64 s x)))
	79.2%	#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c (.f64 c x))) (.f64 (*.f64 s x) s)))
	68.0%	#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) s) x)) (.f64 s x)))
	72.8%	#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) (/.f64 #s(approx (/ (/ 1 (* s (* c c))) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (.f64 c x))) (.f64 s x)))
	61.5%	#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) (/.f64 #s(approx (/ (cos (* -2 x)) (* (* c c) x)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c c)) x)) (.f64 (*.f64 s x) s)))
	26.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) s) (.f64 (.f64 s c) c)) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) s) (.f64 (.f64 s c) c))) (*.f64 x x)))
	55.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c)))
	49.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 c c) x) s) x) s)))
	46.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c x) (.f64 c x)) s) s)))
	84.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (.f64 c x) #s(literal 2 binary64))) s) s))
	85.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) s) (pow.f64 (.f64 c x) #s(literal 2 binary64))) s))
	82.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 c x) c)) (.f64 s x)) s))
	85.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)) s))
	62.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(approx (/ (cos (* -2 x)) (* (* c c) x)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c c)) x)) (.f64 s x)) s))
	60.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 c c) x) x) s))) s))
	17.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) (.f64 (.f64 #s(literal -2 binary64) x) x)) (.f64 (.f64 (.f64 (.f64 (*.f64 c c) x) x) s) s)))
	25.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 (/.f64 #s(literal -2 binary64) c) (.f64 (.f64 c s) s))))
✓	31.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 (/.f64 #s(literal -2 binary64) c) (.f64 c (.f64 s s)))))
▶	31.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 #s(literal -2 binary64) (.f64 c (.f64 (*.f64 s s) c)))))

Compiler

Compiled 2 788 to 1 816 computations (34.9% saved)

simplify117.0ms (1.8%)

Memory

13.2MiB live, 201.8MiB allocated; 25ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c c) x) (*.f64 s x)) s))
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(cos.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff	0	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c c) x) (*.f64 s x)) s)))
cost-diff	0	(.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 (.f64 s c) (.f64 s c))) (.f64 x x))
cost-diff	0	(/.f64 (fma.f64 (.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 (.f64 s c) (.f64 s c))) (.f64 x x)) (.f64 x x) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (.f64 (.f64 s s) c))) (*.f64 x x))
cost-diff	0	#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) (/.f64 (fma.f64 (.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 (.f64 s c) (.f64 s c))) (.f64 x x)) (.f64 x x) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (.f64 (.f64 s s) c))) (*.f64 x x)))
cost-diff	12	(fma.f64 (.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 (.f64 s c) (.f64 s c))) (.f64 x x)) (.f64 x x) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (.f64 (.f64 s s) c)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(approx (cos (+ x x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 c (.f64 (.f64 c x) (*.f64 s x))) s)))
cost-diff	0	(.f64 c (.f64 (*.f64 s s) c))
cost-diff	0	(/.f64 #s(literal -2 binary64) (.f64 c (.f64 (*.f64 s s) c)))
cost-diff	0	#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 #s(literal -2 binary64) (.f64 c (.f64 (*.f64 s s) c))))
cost-diff	0	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 #s(literal -2 binary64) (.f64 c (.f64 (*.f64 s s) c)))))
cost-diff	0	#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 (*.f64 c x) s) x) c) s))
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(cos.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff	0	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 (*.f64 c x) s) x) c) s)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	635
0	110	633
1	264	633
2	1039	606
3	6153	600
0	8142	597

Stop Event

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

localize227.0ms (3.5%)

Memory

-27.8MiB live, 268.1MiB allocated; 39ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.48451922246252577	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c c) x) (*.f64 s x)) s)))
accuracy	4.801005831906728	(.f64 (.f64 (.f64 (.f64 c c) x) (*.f64 s x)) s)
accuracy	8.020831941021065	(.f64 (.f64 c c) x)
accuracy	8.716284911852755	(.f64 (.f64 (.f64 c c) x) (.f64 s x))
accuracy	9.67202973205378	(.f64 (.f64 s s) c)
accuracy	10.244630386500543	(/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (.f64 (*.f64 s s) c))
accuracy	28.72798760823407	(/.f64 (fma.f64 (.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 (.f64 s c) (.f64 s c))) (.f64 x x)) (.f64 x x) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (.f64 (.f64 s s) c))) (*.f64 x x))
accuracy	29.590860376047555	#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) (/.f64 (fma.f64 (.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 (.f64 s c) (.f64 s c))) (.f64 x x)) (.f64 x x) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (.f64 (.f64 s s) c))) (*.f64 x x)))
accuracy	2.966456368587328	(.f64 (.f64 c x) (*.f64 s x))
accuracy	4.801005831906728	(.f64 (.f64 c (.f64 (.f64 c x) (*.f64 s x))) s)
accuracy	5.24576627416362	(.f64 c (.f64 (.f64 c x) (.f64 s x)))
accuracy	33.13707483802237	#s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
accuracy	2.940640635012288	(.f64 c (.f64 (*.f64 s s) c))
accuracy	9.67202973205378	(.f64 (.f64 s s) c)
accuracy	24.03903336563112	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 #s(literal -2 binary64) (.f64 c (.f64 (*.f64 s s) c)))))
accuracy	25.72533538513684	#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 #s(literal -2 binary64) (.f64 c (.f64 (*.f64 s s) c))))
accuracy	0.6103812038716262	(.f64 (.f64 (*.f64 c x) s) x)
accuracy	3.8618754489538496	(.f64 (.f64 c x) s)
accuracy	4.801005831906728	(.f64 (.f64 (.f64 (.f64 (*.f64 c x) s) x) c) s)
accuracy	5.24576627416362	(.f64 (.f64 (.f64 (.f64 c x) s) x) c)

Samples

179.0ms

256×

valid

Compiler

Compiled 483 to 64 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-mult: 47.0ms (45.7% of total)

ival-cos: 16.0ms (15.6% of total)

ival-div: 15.0ms (14.6% of total)

ival-add: 13.0ms (12.6% of total)

const: 7.0ms (6.8% of total)

ival-pow2: 4.0ms (3.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series79.0ms (1.2%)

Memory

8.8MiB live, 99.8MiB allocated; 7ms collecting garbage

Counts

30 → 82

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

Outputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (cos (+ x x)) #s(hole binary64 1))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) #s(hole binary64 (/ 1 (* (pow c 2) (pow s 2)))))
#s(approx (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) #s(hole binary64 (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2))))))
#s(approx (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) #s(hole binary64 (+ (* (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))))))
#s(approx (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) #s(hole binary64 (+ (* (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))))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) (* x x)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) (* x x)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) (* x x)) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) (* x x)) #s(hole binary64 (/ (+ (* (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))))
#s(approx (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) #s(hole binary64 (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2))))))
#s(approx (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) #s(hole binary64 (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2))))))))
#s(approx (* (* (* (* c x) s) x) c) #s(hole binary64 (* (pow c 2) (* s (pow x 2)))))
#s(approx (* (* (* (* (* c x) s) x) c) s) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* c x) s) #s(hole binary64 (* c (* s x))))
#s(approx (* (* (* c x) s) x) #s(hole binary64 (* c (* s (pow x 2)))))
#s(approx (* c (* (* c x) (* s x))) #s(hole binary64 (* (pow c 2) (* s (pow x 2)))))
#s(approx (* (* c (* (* c x) (* s x))) s) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* c x) (* s x)) #s(hole binary64 (* c (* s (pow x 2)))))
#s(approx (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c)) #s(hole binary64 (/ 1 (* (pow c 2) (pow s 2)))))
#s(approx (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c)) #s(hole binary64 (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2))))))
#s(approx (* (* (* c c) x) (* s x)) #s(hole binary64 (* (pow c 2) (* s (pow x 2)))))
#s(approx (* (* c c) x) #s(hole binary64 (* (pow c 2) x)))
#s(approx (* (* (* (* c c) x) (* s x)) s) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) #s(hole binary64 (/ -2 (* (pow c 2) (pow s 2)))))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) #s(hole binary64 (- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))))
#s(approx (/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 (* -2 (pow x 2))))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 2))))
#s(approx (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) #s(hole binary64 (* -4/45 (/ (pow x 6) (* (pow c 2) (pow s 2))))))
#s(approx (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) #s(hole binary64 (* (pow x 6) (- (* 2/3 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))) (* 4/45 (/ 1 (* (pow c 2) (pow s 2))))))))
#s(approx (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) #s(hole binary64 (* (pow x 6) (- (/ 2/3 (* (pow c 2) (* (pow s 2) (pow x 2)))) (+ (* 4/45 (/ 1 (* (pow c 2) (pow s 2)))) (/ 2 (* (pow c 2) (* (pow s 2) (pow x 4)))))))))
#s(approx (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) #s(hole binary64 (* (pow x 6) (- (+ (/ 2/3 (* (pow c 2) (* (pow s 2) (pow x 2)))) (/ 1 (* (pow c 2) (* (pow s 2) (pow x 6))))) (+ (* 4/45 (/ 1 (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 4))))))))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) (* x x)) #s(hole binary64 (* -4/45 (/ (pow x 4) (* (pow c 2) (pow s 2))))))
#s(approx (/ (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) (* x x)) #s(hole binary64 (* (pow x 4) (- (* 2/3 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))) (* 4/45 (/ 1 (* (pow c 2) (pow s 2))))))))
#s(approx (/ (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) (* x x)) #s(hole binary64 (* (pow x 4) (- (/ 2/3 (* (pow c 2) (* (pow s 2) (pow x 2)))) (+ (* 4/45 (/ 1 (* (pow c 2) (pow s 2)))) (/ 2 (* (pow c 2) (* (pow s 2) (pow x 4)))))))))
#s(approx (/ (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) (* x x)) #s(hole binary64 (* (pow x 4) (- (+ (/ 2/3 (* (pow c 2) (* (pow s 2) (pow x 2)))) (/ 1 (* (pow c 2) (* (pow s 2) (pow x 6))))) (+ (* 2 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 4))))) (* 4/45 (/ 1 (* (pow c 2) (pow s 2)))))))))
#s(approx (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) #s(hole binary64 (* -4/45 (/ (pow x 4) (* (pow c 2) (pow s 2))))))
#s(approx (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) #s(hole binary64 (* (pow x 4) (- (* 2/3 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))) (* 4/45 (/ 1 (* (pow c 2) (pow s 2))))))))
#s(approx (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c)) #s(hole binary64 (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2))))))
#s(approx (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c)) #s(hole binary64 (* (pow x 2) (- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2))))))))
#s(approx (/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x)))))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) #s(hole binary64 (/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ -2 (* c (* (* s s) c))) #s(hole binary64 (/ -2 (* (pow c 2) (pow s 2)))))
#s(approx (* c (* (* s s) c)) #s(hole binary64 (* (pow c 2) (pow s 2))))
#s(approx (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (pow c 2))))
#s(approx (/ (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) (* x x)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (* (pow c 2) (pow x 2)))))
#s(approx (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) #s(hole binary64 (/ (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) (* (pow c 2) (pow s 2)))))
#s(approx (* (* s s) c) #s(hole binary64 (* c (pow s 2))))
#s(approx (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c)) #s(hole binary64 (/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (pow s 2)))))
#s(approx (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (pow c 2))) (+ (/ 1 (pow c 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow c 2)))) (pow s 2))))
#s(approx (/ (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) (* x x)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (pow c 2))) (+ (/ 1 (pow c 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow c 2)))) (* (pow s 2) (pow x 2)))))

Calls

9 calls:

Time	Variable		Point	Expression
18.0ms	s	@	0	((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/ -2 (* c (* (* s s) c))) (* c (* (* s s) c)) (/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (+ x x)) (+ (* (* x x) -2) 1) (* x x) (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) (/ (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) (* x x)) (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* (* c x) s) x) c) (* (* (* (* (* c x) s) x) c) s) (* (* c x) s) (* (* (* c x) s) x) (* (* s s) c) (* c (* (* c x) (* s x))) (* (* c (* (* c x) (* s x))) s) (* (* c x) (* s x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c)) (* (* (* c c) x) (* s x)) (* (* c c) x) (* (* (* (* c c) x) (* s x)) s))
9.0ms	x	@	-inf	((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/ -2 (* c (* (* s s) c))) (* c (* (* s s) c)) (/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (+ x x)) (+ (* (* x x) -2) 1) (* x x) (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) (/ (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) (* x x)) (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* (* c x) s) x) c) (* (* (* (* (* c x) s) x) c) s) (* (* c x) s) (* (* (* c x) s) x) (* (* s s) c) (* c (* (* c x) (* s x))) (* (* c (* (* c x) (* s x))) s) (* (* c x) (* s x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c)) (* (* (* c c) x) (* s x)) (* (* c c) x) (* (* (* (* c c) x) (* s x)) s))
8.0ms	c	@	0	((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/ -2 (* c (* (* s s) c))) (* c (* (* s s) c)) (/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (+ x x)) (+ (* (* x x) -2) 1) (* x x) (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) (/ (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) (* x x)) (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* (* c x) s) x) c) (* (* (* (* (* c x) s) x) c) s) (* (* c x) s) (* (* (* c x) s) x) (* (* s s) c) (* c (* (* c x) (* s x))) (* (* c (* (* c x) (* s x))) s) (* (* c x) (* s x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c)) (* (* (* c c) x) (* s x)) (* (* c c) x) (* (* (* (* c c) x) (* s x)) s))
7.0ms	c	@	inf	((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/ -2 (* c (* (* s s) c))) (* c (* (* s s) c)) (/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (+ x x)) (+ (* (* x x) -2) 1) (* x x) (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) (/ (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) (* x x)) (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* (* c x) s) x) c) (* (* (* (* (* c x) s) x) c) s) (* (* c x) s) (* (* (* c x) s) x) (* (* s s) c) (* c (* (* c x) (* s x))) (* (* c (* (* c x) (* s x))) s) (* (* c x) (* s x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c)) (* (* (* c c) x) (* s x)) (* (* c c) x) (* (* (* (* c c) x) (* s x)) s))
7.0ms	c	@	-inf	((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/ -2 (* c (* (* s s) c))) (* c (* (* s s) c)) (/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (+ x x)) (+ (* (* x x) -2) 1) (* x x) (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) (/ (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) (* x x)) (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* (* c x) s) x) c) (* (* (* (* (* c x) s) x) c) s) (* (* c x) s) (* (* (* c x) s) x) (* (* s s) c) (* c (* (* c x) (* s x))) (* (* c (* (* c x) (* s x))) s) (* (* c x) (* s x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c)) (* (* (* c c) x) (* s x)) (* (* c c) x) (* (* (* (* c c) x) (* s x)) s))

simplify117.0ms (1.8%)

Memory

-9.9MiB live, 129.4MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	252	3160
1	642	3064
2	3067	2786
0	8317	2643

Stop Event

1×	iter limit
1×	node limit

Counts

82 → 82

Calls

Call 1

Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (cos (+ x x)) #s(hole binary64 1))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) #s(hole binary64 (/ 1 (* (pow c 2) (pow s 2)))))
#s(approx (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) #s(hole binary64 (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2))))))
#s(approx (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) #s(hole binary64 (+ (* (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))))))
#s(approx (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) #s(hole binary64 (+ (* (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))))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) (* x x)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) (* x x)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) (* x x)) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) (* x x)) #s(hole binary64 (/ (+ (* (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))))
#s(approx (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) #s(hole binary64 (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2))))))
#s(approx (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) #s(hole binary64 (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2))))))))
#s(approx (* (* (* (* c x) s) x) c) #s(hole binary64 (* (pow c 2) (* s (pow x 2)))))
#s(approx (* (* (* (* (* c x) s) x) c) s) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* c x) s) #s(hole binary64 (* c (* s x))))
#s(approx (* (* (* c x) s) x) #s(hole binary64 (* c (* s (pow x 2)))))
#s(approx (* c (* (* c x) (* s x))) #s(hole binary64 (* (pow c 2) (* s (pow x 2)))))
#s(approx (* (* c (* (* c x) (* s x))) s) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* c x) (* s x)) #s(hole binary64 (* c (* s (pow x 2)))))
#s(approx (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c)) #s(hole binary64 (/ 1 (* (pow c 2) (pow s 2)))))
#s(approx (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c)) #s(hole binary64 (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2))))))
#s(approx (* (* (* c c) x) (* s x)) #s(hole binary64 (* (pow c 2) (* s (pow x 2)))))
#s(approx (* (* c c) x) #s(hole binary64 (* (pow c 2) x)))
#s(approx (* (* (* (* c c) x) (* s x)) s) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) #s(hole binary64 (/ -2 (* (pow c 2) (pow s 2)))))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) #s(hole binary64 (- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))))
#s(approx (/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 (* -2 (pow x 2))))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 2))))
#s(approx (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) #s(hole binary64 (* -4/45 (/ (pow x 6) (* (pow c 2) (pow s 2))))))
#s(approx (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) #s(hole binary64 (* (pow x 6) (- (* 2/3 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))) (* 4/45 (/ 1 (* (pow c 2) (pow s 2))))))))
#s(approx (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) #s(hole binary64 (* (pow x 6) (- (/ 2/3 (* (pow c 2) (* (pow s 2) (pow x 2)))) (+ (* 4/45 (/ 1 (* (pow c 2) (pow s 2)))) (/ 2 (* (pow c 2) (* (pow s 2) (pow x 4)))))))))
#s(approx (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) #s(hole binary64 (* (pow x 6) (- (+ (/ 2/3 (* (pow c 2) (* (pow s 2) (pow x 2)))) (/ 1 (* (pow c 2) (* (pow s 2) (pow x 6))))) (+ (* 4/45 (/ 1 (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 4))))))))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) (* x x)) #s(hole binary64 (* -4/45 (/ (pow x 4) (* (pow c 2) (pow s 2))))))
#s(approx (/ (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) (* x x)) #s(hole binary64 (* (pow x 4) (- (* 2/3 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))) (* 4/45 (/ 1 (* (pow c 2) (pow s 2))))))))
#s(approx (/ (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) (* x x)) #s(hole binary64 (* (pow x 4) (- (/ 2/3 (* (pow c 2) (* (pow s 2) (pow x 2)))) (+ (* 4/45 (/ 1 (* (pow c 2) (pow s 2)))) (/ 2 (* (pow c 2) (* (pow s 2) (pow x 4)))))))))
#s(approx (/ (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) (* x x)) #s(hole binary64 (* (pow x 4) (- (+ (/ 2/3 (* (pow c 2) (* (pow s 2) (pow x 2)))) (/ 1 (* (pow c 2) (* (pow s 2) (pow x 6))))) (+ (* 2 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 4))))) (* 4/45 (/ 1 (* (pow c 2) (pow s 2)))))))))
#s(approx (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) #s(hole binary64 (* -4/45 (/ (pow x 4) (* (pow c 2) (pow s 2))))))
#s(approx (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) #s(hole binary64 (* (pow x 4) (- (* 2/3 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))) (* 4/45 (/ 1 (* (pow c 2) (pow s 2))))))))
#s(approx (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c)) #s(hole binary64 (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2))))))
#s(approx (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c)) #s(hole binary64 (* (pow x 2) (- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2))))))))
#s(approx (/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x)))))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) #s(hole binary64 (/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ -2 (* c (* (* s s) c))) #s(hole binary64 (/ -2 (* (pow c 2) (pow s 2)))))
#s(approx (* c (* (* s s) c)) #s(hole binary64 (* (pow c 2) (pow s 2))))
#s(approx (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (pow c 2))))
#s(approx (/ (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) (* x x)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (* (pow c 2) (pow x 2)))))
#s(approx (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) #s(hole binary64 (/ (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) (* (pow c 2) (pow s 2)))))
#s(approx (* (* s s) c) #s(hole binary64 (* c (pow s 2))))
#s(approx (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c)) #s(hole binary64 (/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (pow s 2)))))
#s(approx (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (pow c 2))) (+ (/ 1 (pow c 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow c 2)))) (pow s 2))))
#s(approx (/ (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) (* x x)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (pow c 2))) (+ (/ 1 (pow c 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow c 2)))) (* (pow s 2) (pow x 2)))))

Outputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) s) c)) (.f64 s c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) (.f64 (.f64 (.f64 (*.f64 x x) s) c) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* (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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#s(approx (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) #s(hole binary64 (* (pow x 6) (- (* 2/3 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))) (* 4/45 (/ 1 (* (pow c 2) (pow s 2))))))))
#s(approx (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) (.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (/.f64 #s(literal 1 binary64) (.f64 c c)) (/.f64 (/.f64 #s(literal 2/3 binary64) (.f64 c c)) (.f64 x x))) (*.f64 s s)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) #s(hole binary64 (* (pow x 6) (- (/ 2/3 (* (pow c 2) (* (pow s 2) (pow x 2)))) (+ (* 4/45 (/ 1 (* (pow c 2) (pow s 2)))) (/ 2 (* (pow c 2) (* (pow s 2) (pow x 4)))))))))
#s(approx (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) (.f64 (-.f64 (/.f64 (/.f64 #s(literal 2/3 binary64) (.f64 (.f64 (.f64 s s) x) x)) (.f64 c c)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (.f64 c c)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 4/45 binary64) (.f64 c c))) (.f64 s s))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) #s(hole binary64 (* (pow x 6) (- (+ (/ 2/3 (* (pow c 2) (* (pow s 2) (pow x 2)))) (/ 1 (* (pow c 2) (* (pow s 2) (pow x 6))))) (+ (* 4/45 (/ 1 (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 4))))))))))
#s(approx (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) (.f64 (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c c)) (pow.f64 x #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal 2/3 binary64) (.f64 c c)) (.f64 x x))) (.f64 s s)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (.f64 c c)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 4/45 binary64) (.f64 c c))) (.f64 s s))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c c)) (.f64 x x)) (.f64 s s)))
#s(approx (/ (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) (* x x)) #s(hole binary64 (* -4/45 (/ (pow x 4) (* (pow c 2) (pow s 2))))))
#s(approx (/ (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) (* x x)) (.f64 (/.f64 #s(literal -4/45 binary64) (.f64 (*.f64 s c) s)) (/.f64 (pow.f64 x #s(literal 4 binary64)) c)))
#s(approx (/ (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) (* x x)) #s(hole binary64 (* (pow x 4) (- (* 2/3 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))) (* 4/45 (/ 1 (* (pow c 2) (pow s 2))))))))
#s(approx (/ (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) (* x x)) (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal -4/45 binary64) (/.f64 #s(literal 1 binary64) (.f64 c c)) (/.f64 (/.f64 #s(literal 2/3 binary64) (.f64 c c)) (.f64 x x))) (*.f64 s s))))
#s(approx (/ (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) (* x x)) #s(hole binary64 (* (pow x 4) (- (/ 2/3 (* (pow c 2) (* (pow s 2) (pow x 2)))) (+ (* 4/45 (/ 1 (* (pow c 2) (pow s 2)))) (/ 2 (* (pow c 2) (* (pow s 2) (pow x 4)))))))))
#s(approx (/ (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) (* x x)) (.f64 (-.f64 (/.f64 (/.f64 #s(literal 2/3 binary64) (.f64 (.f64 (.f64 s s) x) x)) (.f64 c c)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (.f64 c c)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 4/45 binary64) (.f64 c c))) (.f64 s s))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (/ (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) (* x x)) #s(hole binary64 (* (pow x 4) (- (+ (/ 2/3 (* (pow c 2) (* (pow s 2) (pow x 2)))) (/ 1 (* (pow c 2) (* (pow s 2) (pow x 6))))) (+ (* 2 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 4))))) (* 4/45 (/ 1 (* (pow c 2) (pow s 2)))))))))
#s(approx (/ (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) (* x x)) (.f64 (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c c)) (pow.f64 x #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal 2/3 binary64) (.f64 c c)) (.f64 x x))) (.f64 s s)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (.f64 c c)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 4/45 binary64) (.f64 c c))) (.f64 s s))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) #s(hole binary64 (* -4/45 (/ (pow x 4) (* (pow c 2) (pow s 2))))))
#s(approx (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (.f64 (/.f64 #s(literal -4/45 binary64) (.f64 (*.f64 s c) s)) (/.f64 (pow.f64 x #s(literal 4 binary64)) c)))
#s(approx (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) #s(hole binary64 (* (pow x 4) (- (* 2/3 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))) (* 4/45 (/ 1 (* (pow c 2) (pow s 2))))))))
#s(approx (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal -4/45 binary64) (/.f64 #s(literal 1 binary64) (.f64 c c)) (/.f64 (/.f64 #s(literal 2/3 binary64) (.f64 c c)) (.f64 x x))) (*.f64 s s))))
#s(approx (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c)) #s(hole binary64 (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2))))))
#s(approx (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c)) (.f64 (/.f64 #s(literal -2 binary64) (.f64 (.f64 s c) s)) (/.f64 (.f64 x x) c)))
#s(approx (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c)) #s(hole binary64 (* (pow x 2) (- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2))))))))
#s(approx (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c)) (.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (.f64 c c)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c c)) (.f64 x x))) (.f64 s s)) (.f64 x x)))
#s(approx (/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c c)) (.f64 x x)) (.f64 s s)))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x)))))
#s(approx (cos (+ x x)) (cos.f64 (*.f64 #s(literal -2 binary64) x)))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) #s(hole binary64 (/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) (.f64 (.f64 (.f64 (*.f64 x x) s) c) c)))
#s(approx (/ -2 (* c (* (* s s) c))) #s(hole binary64 (/ -2 (* (pow c 2) (pow s 2)))))
#s(approx (/ -2 (* c (* (* s s) c))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) c) s) (*.f64 s c)))
#s(approx (* c (* (* s s) c)) #s(hole binary64 (* (pow c 2) (pow s 2))))
#s(approx (* c (* (* s s) c)) (.f64 (.f64 (*.f64 s c) c) s))
#s(approx (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (pow c 2))))
#s(approx (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) #s(literal 1 binary64))) (.f64 (.f64 (*.f64 s c) c) s)))
#s(approx (/ (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) (* x x)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (pow s 2))) (+ (/ 1 (pow s 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow s 2)))) (* (pow c 2) (pow x 2)))))
#s(approx (/ (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) (* x x)) (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) #s(literal 1 binary64))) (.f64 (.f64 s (.f64 (.f64 (*.f64 c c) x) s)) x)))
#s(approx (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) #s(hole binary64 (/ (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) (* (pow c 2) (pow s 2)))))
#s(approx (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (.f64 (/.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) s) (.f64 (.f64 s c) c)) (*.f64 x x)))
#s(approx (* (* s s) c) #s(hole binary64 (* c (pow s 2))))
#s(approx (* (* s s) c) (.f64 (.f64 s c) s))
#s(approx (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c)) #s(hole binary64 (/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (pow s 2)))))
#s(approx (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c)) (/.f64 (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) c) s) s))
#s(approx (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (pow c 2))) (+ (/ 1 (pow c 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow c 2)))) (pow s 2))))
#s(approx (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) #s(literal 1 binary64))) (.f64 (.f64 (*.f64 s c) c) s)))
#s(approx (/ (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) (* x x)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (pow c 2))) (+ (/ 1 (pow c 2)) (/ (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2)))) (pow c 2)))) (* (pow s 2) (pow x 2)))))
#s(approx (/ (+ (* (* (/ (+ (* -4/45 (* x x)) 2/3) (* (* s c) (* s c))) (* x x)) (* x x)) (/ (/ (+ (* (* x x) -2) 1) c) (* (* s s) c))) (* x x)) (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) #s(literal 1 binary64))) (.f64 (.f64 s (.f64 (.f64 (*.f64 c c) x) s)) x)))

rewrite37.0ms (0.6%)

Memory

13.5MiB live, 60.4MiB allocated; 1ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	509
0	110	499
0	379	499

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

30 → 122

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

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

eval51.0ms (0.8%)

Memory: -13.2MiB live, 42.2MiB allocated; 6ms collecting garbage
Compiler: Compiled 9 747 to 777 computations (92% saved)

prune78.0ms (1.2%)

Memory

0.8MiB live, 92.4MiB allocated; 7ms collecting garbage

Pruning

43 alts after pruning (40 fresh and 3 done)

	Pruned	Kept	Total
New	175	18	193
Fresh	15	22	37
Picked	3	2	5
Done	0	1	1
Total	193	43	236

Accuracy

100.0%

Counts

236 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.3%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 (*.f64 s s) x) x) c) c))
	56.8%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 s s) (.f64 x x)) (*.f64 c c)))
	65.8%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 c c) (.f64 (*.f64 s s) x)) x))
	88.5%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 (*.f64 c x) s) x) c) s)))
	75.4%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c c) x) (*.f64 s x)) s)))
	86.3%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 c (.f64 (.f64 c x) (*.f64 s x))) s)))
	81.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)))
	91.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) s) (*.f64 c x)) s)))
	90.4%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) s) x) (*.f64 s c))))
	77.6%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c (.f64 x (*.f64 s x))) c) s)))
	69.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c (.f64 c (*.f64 x x))) s) s)))
	49.8%	(/.f64 #s(approx (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) (/.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) x) x #s(literal 1 binary64)) c) (.f64 c (.f64 (.f64 s x) s)))) x)
	45.0%	(/.f64 #s(approx (cos (+ x x)) (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))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 (*.f64 c x) s) x) c) s)))
	46.1%	(/.f64 #s(approx (cos (+ x x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 (*.f64 c x) s) x) c) s)))
✓	51.4%	(/.f64 #s(approx (cos (+ x x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 c (.f64 (.f64 c x) (*.f64 s x))) s)))
	18.9%	(/.f64 #s(approx (cos (+ x x)) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64)))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 c (.f64 (.f64 c x) (*.f64 s x))) s)))
	69.7%	(/.f64 #s(approx (cos (+ x x)) #s(approx (+ (* (* x x) -2) 1) #s(literal 1 binary64))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 c (.f64 (.f64 c x) (*.f64 s x))) s)))
	70.0%	(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 (*.f64 c x) s) x) c) s)))
	64.0%	(/.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 c) x) (*.f64 s x)) s)))
	55.6%	(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 s s) x) x) (*.f64 c c)))
	60.2%	(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 (*.f64 c c) x) x) s) s)))
	29.4%	#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) (/.f64 (fma.f64 (.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 (.f64 s c) (.f64 s c))) (.f64 x x)) (.f64 x x) (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 s s) c) c))) (.f64 x x)))
	34.2%	#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) (/.f64 (fma.f64 (.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 (.f64 s c) (.f64 s c))) (.f64 x x)) (.f64 x x) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (.f64 s (.f64 s c)))) (*.f64 x x)))
	44.0%	#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) (.f64 (.f64 (.f64 (*.f64 x x) s) c) c)))
	68.0%	#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) (.f64 c c)) x) (.f64 s x)))
	73.4%	#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 s c) c)) x) (*.f64 s x)))
	79.2%	#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c (.f64 c x))) (.f64 (*.f64 s x) s)))
	63.9%	#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) s) c)) (.f64 s c)))
	68.0%	#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) s) x)) (.f64 s x)))
	72.8%	#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) (/.f64 #s(approx (/ (/ 1 (* s (* c c))) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (.f64 c x))) (.f64 s x)))
	61.5%	#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) (/.f64 #s(approx (/ (cos (* -2 x)) (* (* c c) x)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c c)) x)) (.f64 (*.f64 s x) s)))
	55.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c)))
	84.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (.f64 c x) #s(literal 2 binary64))) s) s))
	82.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 c x) c)) (.f64 s x)) s))
	85.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)) s))
	62.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(approx (/ (cos (* -2 x)) (* (* c c) x)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c c)) x)) (.f64 s x)) s))
	60.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 c c) x) x) s))) s))
	23.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) c) s) (*.f64 s c))))
	25.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 (/.f64 #s(literal -2 binary64) c) (.f64 (.f64 c s) s))))
✓	31.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 (/.f64 #s(literal -2 binary64) c) (.f64 c (.f64 s s)))))
✓	31.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 #s(literal -2 binary64) (.f64 c (.f64 (*.f64 s s) c)))))
	25.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 #s(literal -2 binary64) (.f64 c (.f64 s (*.f64 s c))))))
	22.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 #s(literal -2 binary64) #s(approx (* c (* (* s s) c)) (.f64 (.f64 (*.f64 s c) c) s)))))

Compiler

Compiled 4 324 to 1 365 computations (68.4% saved)

regimes189.0ms (2.9%)

Memory

-4.1MiB live, 230.2MiB allocated; 32ms collecting garbage

Counts

88 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

45.0ms	c
41.0ms	(/.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)))
30.0ms	(pow.f64 c #s(literal 2 binary64))
23.0ms	s
21.0ms	x

Results

Accuracy	Segments	Branch
93.6%	2	`(pow.f64 s #s(literal 2 binary64))`
95.7%	2	`(pow.f64 c #s(literal 2 binary64))`
91.3%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
96.4%	2	`x`
95.7%	2	`c`
93.6%	2	`s`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes71.0ms (1.1%)

Memory

29.0MiB live, 84.4MiB allocated; 10ms collecting garbage

Counts

60 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

41.0ms	c
15.0ms	x
12.0ms	(pow.f64 c #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
92.7%	2	`(pow.f64 c #s(literal 2 binary64))`
92.7%	2	`c`
94.3%	2	`x`

Compiler

Compiled 5 to 11 computations (-120% saved)

regimes41.0ms (0.6%)

Memory

-4.3MiB live, 41.0MiB allocated; 4ms collecting garbage

Counts

59 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

38.0ms

Results

Accuracy	Segments	Branch
93.9%	2	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes88.0ms (1.4%)

Memory

19.1MiB live, 111.0MiB allocated; 5ms collecting garbage

Counts

46 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

26.0ms	s
15.0ms	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
12.0ms	x
12.0ms	c
11.0ms	(pow.f64 s #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
86.3%	1	`(pow.f64 c #s(literal 2 binary64))`
86.3%	1	`c`
86.3%	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)))`
86.3%	1	`(pow.f64 s #s(literal 2 binary64))`
86.3%	1	`s`
91.7%	2	`x`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes111.0ms (1.7%)

Memory

-33.0MiB live, 110.5MiB allocated; 14ms collecting garbage

Counts

43 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

27.0ms	c
18.0ms	(pow.f64 s #s(literal 2 binary64))
11.0ms	x
11.0ms	s
9.0ms	(pow.f64 c #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
73.4%	1	`(pow.f64 s #s(literal 2 binary64))`
76.7%	2	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
73.4%	1	`(pow.f64 c #s(literal 2 binary64))`
73.4%	1	`c`
73.4%	1	`s`
75.4%	2	`x`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes11.0ms (0.2%)

Memory

33.8MiB live, 33.8MiB allocated; 0ms collecting garbage

Counts

42 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

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
76.7%	2	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes16.0ms (0.3%)

Memory

-15.0MiB live, 30.4MiB allocated; 4ms collecting garbage

Counts

26 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
75.1%	3	`x`
76.9%	3	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes11.0ms (0.2%)

Memory

-31.1MiB live, 21.6MiB allocated; 9ms collecting garbage

Counts

25 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

5.0ms

(/.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
76.9%	3	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes22.0ms (0.3%)

Memory

15.8MiB live, 61.9MiB allocated; 2ms collecting garbage

Counts

14 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

6.0ms	c
4.0ms	s
4.0ms	(pow.f64 s #s(literal 2 binary64))
4.0ms	(pow.f64 c #s(literal 2 binary64))
3.0ms	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))

Results

Accuracy	Segments	Branch
73.3%	2	`(pow.f64 c #s(literal 2 binary64))`
73.3%	2	`c`
70.0%	1	`(pow.f64 s #s(literal 2 binary64))`
70.0%	1	`s`
76.3%	3	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`

Compiler

Compiled 24 to 28 computations (-16.7% saved)

regimes8.0ms (0.1%)

Memory

16.3MiB live, 16.3MiB allocated; 0ms collecting garbage

Counts

13 → 2

Calls

Call 1

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

Outputs

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

Calls

2 calls:

4.0ms	x
3.0ms	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))

Results

Accuracy	Segments	Branch
70.0%	1	`x`
73.3%	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)))`

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes10.0ms (0.2%)

Memory

-17.9MiB live, 28.6MiB allocated; 2ms collecting garbage

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

4.0ms	c
3.0ms	(pow.f64 c #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
69.7%	1	`c`
69.7%	1	`(pow.f64 c #s(literal 2 binary64))`
73.0%	2	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`

Compiler

Compiled 20 to 20 computations (0% saved)

regimes15.0ms (0.2%)

Memory

30.4MiB live, 30.4MiB allocated; 0ms collecting garbage

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

3.0ms	x
3.0ms	s
3.0ms	c
2.0ms	(pow.f64 s #s(literal 2 binary64))
2.0ms	(pow.f64 c #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
60.2%	1	`c`
60.2%	1	`(pow.f64 c #s(literal 2 binary64))`
60.2%	1	`(pow.f64 s #s(literal 2 binary64))`
60.2%	1	`s`
60.2%	1	`x`
63.5%	2	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes49.0ms (0.8%)

Memory

-24.0MiB live, 23.2MiB allocated; 1ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

Calls

6 calls:

39.0ms	x
2.0ms	c
2.0ms	s
2.0ms	(pow.f64 s #s(literal 2 binary64))
2.0ms	(pow.f64 c #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
31.5%	1	`s`
31.5%	1	`(pow.f64 s #s(literal 2 binary64))`
31.5%	1	`c`
31.5%	1	`(pow.f64 c #s(literal 2 binary64))`
31.5%	1	`x`
31.5%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes8.0ms (0.1%)

Memory

26.5MiB live, 26.5MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
25.7%	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)))`
25.7%	1	`x`
25.7%	1	`(pow.f64 s #s(literal 2 binary64))`
25.7%	1	`s`
25.7%	1	`(pow.f64 c #s(literal 2 binary64))`
25.7%	1	`c`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes33.0ms (0.5%)

Memory

-44.1MiB live, 17.1MiB allocated; 39ms collecting garbage

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

Outputs

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

Calls

6 calls:

28.0ms	s
1.0ms	(pow.f64 s #s(literal 2 binary64))
1.0ms	c
1.0ms	x
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
22.9%	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)))`
22.9%	1	`x`
22.9%	1	`(pow.f64 s #s(literal 2 binary64))`
22.9%	1	`(pow.f64 c #s(literal 2 binary64))`
22.9%	1	`c`
22.9%	1	`s`

Compiler

Compiled 25 to 31 computations (-24% saved)

bsearch9.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	3.3828054911063782e-99	5.090841096196864e-99

Samples

5.0ms

64×

valid

Compiler

Compiled 263 to 190 computations (27.8% saved)

Precisions

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

ival-cos: 1.0ms (28.4% of total)

ival-mult: 1.0ms (28.4% of total)

ival-pow2: 1.0ms (28.4% of total)

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

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch13.0ms (0.2%)

Memory

-18.9MiB live, 26.8MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
12.0ms	3.0314245782607424e-128	1.5596195771264438e-124

Samples

8.0ms

80×

valid

Compiler

Compiled 324 to 238 computations (26.5% saved)

Precisions

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

ival-cos: 2.0ms (32.6% of total)

ival-mult: 2.0ms (32.6% of total)

ival-pow2: 1.0ms (16.3% of total)

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

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.3828054911063782e-99	5.090841096196864e-99

Compiler

Compiled 263 to 190 computations (27.8% saved)

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.3828054911063782e-99	5.090841096196864e-99

Compiler

Compiled 263 to 190 computations (27.8% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.115116041813663e-161	0.0

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.115116041813663e-161	0.0

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-7.115116041813663e-161	0.0

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-7.115116041813663e-161	0.0

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.5MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-7.115116041813663e-161	0.0

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.115116041813663e-161	0.0

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.115116041813663e-161	0.0

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.115116041813663e-161	0.0

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify50.0ms (0.8%)

Memory

14.3MiB live, 60.9MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	1300
1	220	1300
2	522	1300
3	4263	1300

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 4432725697094379/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c))) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) s) (*.f64 c x)) s))))
(if (<=.f64 x #s(literal 2286436926500971/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c))) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) s) x) (*.f64 s c)))))
(if (<=.f64 x #s(literal 4432725697094379/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c))) (/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 (*.f64 c x) s) x) c) s))))
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(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 -1582914569427869/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 #s(literal -2 binary64) (.f64 c (.f64 s (.f64 s c)))))) #s(approx (/ (/ (/ (cos ( -2 x)) (* c c)) (* (* s s) x)) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 s c) c)) x) (*.f64 s x))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -1582914569427869/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 #s(literal -2 binary64) (.f64 c (.f64 s (.f64 s c)))))) (if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal +inf.0 binary64)) #s(approx (/ (/ (/ (cos ( -2 x)) (* c c)) (* (* s s) x)) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 s (.f64 c c))) x) (.f64 s x))) #s(approx (/ (/ (/ (cos ( -2 x)) (* c c)) (* (* s s) x)) x) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) s) c)) (.f64 s c)))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -1582914569427869/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 #s(literal -2 binary64) (.f64 c (.f64 s (.f64 s c)))))) (if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal +inf.0 binary64)) #s(approx (/ (/ (/ (cos ( -2 x)) (* c c)) (* (* s s) x)) x) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) s) x)) (.f64 s x))) #s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s s) x)) x) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) s) c)) (.f64 s c)))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -1582914569427869/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 #s(literal -2 binary64) (.f64 c (.f64 s (.f64 s c)))))) (if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal +inf.0 binary64)) #s(approx (/ (/ (/ (cos ( -2 x)) (* c c)) (* (* s s) x)) x) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) s) x)) (.f64 s x))) (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 (*.f64 c x) s) x) c) s)))))
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(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 -1582914569427869/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 #s(literal -2 binary64) (.f64 c (.f64 s (.f64 s c)))))) (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 c (.f64 (.f64 c x) (*.f64 s 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 -1582914569427869/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 #s(literal -2 binary64) (.f64 c (.f64 s (.f64 s c)))))) (/.f64 #s(approx (cos ( -2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 (*.f64 c c) x) x) s) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 #s(literal -2 binary64) (.f64 c (.f64 (*.f64 s s) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 #s(literal -2 binary64) (.f64 c (.f64 s (*.f64 s c))))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 #s(literal -2 binary64) #s(approx (* c (* (* s s) c)) (.f64 (.f64 (*.f64 s c) c) s)))))

Outputs
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(if (<=.f64 x #s(literal 2286436926500971/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c))) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) s) x) (*.f64 s c)))))
(if (<=.f64 x #s(literal 4432725697094379/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c))) (/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 (*.f64 c x) s) x) c) s))))
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(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 -1582914569427869/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 #s(literal -2 binary64) (.f64 c (.f64 s (.f64 s c)))))) (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 c (.f64 (.f64 c x) (*.f64 s 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 -1582914569427869/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 #s(literal -2 binary64) (.f64 c (.f64 s (.f64 s c)))))) (/.f64 #s(approx (cos ( -2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 (*.f64 c c) x) x) s) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 #s(literal -2 binary64) (.f64 c (.f64 (*.f64 s s) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 #s(literal -2 binary64) (.f64 c (.f64 s (*.f64 s c))))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 #s(literal -2 binary64) #s(approx (* c (* (* s s) c)) (.f64 (.f64 (*.f64 s c) c) s)))))

derivations429.0ms (6.6%)

Memory

3.1MiB live, 366.3MiB allocated; 44ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 1 300 to 145 computations (88.8% saved)

preprocess116.0ms (1.8%)

Memory: -6.5MiB live, 137.4MiB allocated; 56ms collecting garbage
Compiler: Compiled 3 152 to 586 computations (81.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze137.0ms (2.1%)

sample1.9s (29.7%)

explain223.0ms (3.5%)

preprocess210.0ms (3.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify174.0ms (2.7%)

localize68.0ms (1%)

series23.0ms (0.3%)

simplify265.0ms (4.1%)

rewrite73.0ms (1.1%)

eval17.0ms (0.3%)

prune10.0ms (0.2%)

simplify133.0ms (2.1%)

localize197.0ms (3%)

series61.0ms (0.9%)

simplify131.0ms (2%)

rewrite65.0ms (1%)

eval45.0ms (0.7%)

prune54.0ms (0.8%)

simplify106.0ms (1.6%)

localize227.0ms (3.5%)

series110.0ms (1.7%)

simplify122.0ms (1.9%)

rewrite32.0ms (0.5%)

eval21.0ms (0.3%)

prune30.0ms (0.5%)

simplify117.0ms (1.8%)

localize227.0ms (3.5%)

series79.0ms (1.2%)

simplify117.0ms (1.8%)

rewrite37.0ms (0.6%)

eval51.0ms (0.8%)

prune78.0ms (1.2%)

regimes189.0ms (2.9%)

regimes71.0ms (1.1%)

regimes41.0ms (0.6%)

regimes88.0ms (1.4%)

regimes111.0ms (1.7%)

regimes11.0ms (0.2%)

regimes16.0ms (0.3%)

regimes11.0ms (0.2%)

regimes22.0ms (0.3%)

regimes8.0ms (0.1%)

regimes10.0ms (0.2%)

regimes15.0ms (0.2%)

regimes49.0ms (0.8%)

regimes8.0ms (0.1%)

regimes33.0ms (0.5%)

bsearch9.0ms (0.1%)

bsearch13.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify50.0ms (0.8%)

derivations429.0ms (6.6%)

preprocess116.0ms (1.8%)

end0.0ms (0%)

Profiling