Metrics for mixedcos

start0.0ms (0%)

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

analyze154.0ms (3.7%)

Memory

-1.3MiB live, 136.5MiB allocated; 33ms 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)

sample1.4s (32.7%)

Memory

1.3MiB live, 1 322.3MiB allocated; 267ms collecting garbage

Samples

917.0ms

8 256×

valid

Precisions

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

ival-mult: 229.0ms (33.1% of total)

ival-cos: 204.0ms (29.5% of total)

ival-pow2: 185.0ms (26.7% of total)

ival-div: 62.0ms (9% of total)

exact: 6.0ms (0.9% of total)

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

adjust: 2.0ms (0.3% of total)

Bogosity

explain175.0ms (4.2%)

Memory

33.0MiB live, 218.1MiB allocated; 30ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
65	0	-	1	(8.235146106827773e+33 -9.615015385726132e-160 3.464281098435684e+55)	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`
36	0	-	1	(1.0470679197054328e+300 9.539153650253536e+69 -1.6583069877289385e-159)	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`
19	0	-	2	(-3.951534819019554e+164 -9.808656076495965e-143 -2.3939685368892915e-239)	`(.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)))`
0	0	-	0	-	`(pow.f64 c #s(literal 2 binary64))`
0	0	-	0	-	`(*.f64 #s(literal 2 binary64) x)`
0	125	(-1.390166908612705e+259 -1.7117610693035486e+101 -6.823315484737402e+282)	0	-	`(cos.f64 (*.f64 #s(literal 2 binary64) x))`
0	0	-	0	-	`s`
0	0	-	0	-	`c`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`x`
0	0	-	0	-	`(pow.f64 s #s(literal 2 binary64))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`cos.f64`	`(cos.f64 (*.f64 #s(literal 2 binary64) x))`	sensitivity	125	1
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*no**	20	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*ou**	19	0
↳	`(pow.f64 c #s(literal 2 binary64))`	overflow	64
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	underflow	64
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	underflow	51
↳	`(pow.f64 s #s(literal 2 binary64))`	underflow	49
`*.f64`	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	*nu**	18	0
`*.f64`	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	*no**	17	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*uo**	14	0
↳	`(pow.f64 c #s(literal 2 binary64))`	underflow	50
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	overflow	65
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	overflow	62
↳	`(pow.f64 s #s(literal 2 binary64))`	overflow	65
`*.f64`	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	*no**	11	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*nu**	11	0
`*.f64`	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	*nu**	6	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	65
↳	`(pow.f64 c #s(literal 2 binary64))`	overflow	64
↳	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	overflow	75
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	overflow	62
↳	`(pow.f64 s #s(literal 2 binary64))`	overflow	65

Confusion

	Predicted +	Predicted -
+	92	0
-	102	62

Precision

0.4742268041237113

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	92	0	0
-	102	1	61

Precision?

0.4717948717948718

Recall?

1.0

Freqs

test

number	freq
0	62
1	147
2	44
3	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

64.0ms

512×

valid

Compiler

Compiled 132 to 40 computations (69.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-pow2: 19.0ms (41.7% of total)

ival-mult: 12.0ms (26.3% of total)

ival-cos: 11.0ms (24.1% of total)

ival-div: 3.0ms (6.6% 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)

preprocess241.0ms (5.7%)

Memory

-62.3MiB live, 223.6MiB allocated; 117ms 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)

prune1.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.5%	(/.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)

series26.0ms (0.6%)

Memory

3.3MiB live, 48.5MiB allocated; 4ms collecting garbage

Counts

12 → 19

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
#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 x #s(hole 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 (* (* x (pow s 2)) x) #s(hole binary64 (* (pow s 2) (pow x 2))))
#s(approx (* x (pow s 2)) #s(hole binary64 (* (pow s 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 (pow c 2) #s(hole binary64 (pow c 2)))
#s(approx c #s(hole binary64 c))
#s(approx (pow s 2) #s(hole binary64 (pow s 2)))
#s(approx s #s(hole binary64 s))

Calls

9 calls:

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

rewrite162.0ms (3.9%)

Memory

-1.2MiB live, 99.1MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	447
0	92	415
1	374	351
0	3114	339

Stop Event

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

Counts

31 → 119

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
#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 x #s(hole 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 (* (* x (pow s 2)) x) #s(hole binary64 (* (pow s 2) (pow x 2))))
#s(approx (* x (pow s 2)) #s(hole binary64 (* (pow s 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 (pow c 2) #s(hole binary64 (pow c 2)))
#s(approx c #s(hole binary64 c))
#s(approx (pow s 2) #s(hole binary64 (pow s 2)))
#s(approx s #s(hole binary64 s))

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

eval29.0ms (0.7%)

Memory: -22.6MiB live, 21.8MiB allocated; 6ms collecting garbage
Compiler: Compiled 2 390 to 428 computations (82.1% saved)

prune13.0ms (0.3%)

Memory

33.3MiB live, 33.3MiB allocated; 0ms collecting garbage

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	107	18	125
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	108	18	126

Accuracy

99.7%

Counts

126 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	68.5%	(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c c)) (.f64 (.f64 s s) x)) x)
▶	57.9%	(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c c)) (.f64 s s)) (.f64 x x))
	66.9%	(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c c)) x) (.f64 (.f64 s s) x))
	80.4%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (pow.f64 (.f64 s x) #s(literal 2 binary64))) (*.f64 c c))
	74.0%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (pow.f64 (.f64 s c) #s(literal 2 binary64))) (*.f64 x x))
▶	85.6%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) x)
	72.0%	(/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (neg.f64 (pow.f64 (.f64 (.f64 s c) x) #s(literal 2 binary64))))
	97.6%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 s x) c) #s(literal 2 binary64)))
▶	98.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 s c) x) #s(literal 2 binary64)))
	80.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 s x) #s(literal -2 binary64)))))
	83.6%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c))
	85.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x))
	67.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s s) x) (.f64 x (.f64 c c))))
▶	57.6%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 c c) (.f64 x x)) (.f64 s s)))
▶	55.4%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
	69.1%	(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 s c) x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 s c) x) #s(literal 2 binary64))))
	68.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 c #s(literal -2 binary64)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
	48.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (pow.f64 (.f64 s c) #s(literal 2 binary64))) (*.f64 x x)))

Compiler

Compiled 612 to 470 computations (23.2% saved)

series98.0ms (2.3%)

Memory

-24.8MiB live, 117.5MiB allocated; 22ms collecting garbage

Counts

34 → 70

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
47.0ms	s	@	-inf	((/ (cos (* 2 x)) (pow (* (* s c) x) 2)) (cos (* 2 x)) (* 2 x) 2 x (pow (* (* s c) x) 2) (* (* s c) x) (* s c) s c (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) (* (* (* c c) (* x x)) (* s s)) (* (* c c) (* x x)) (* c c) (* x x) (* s s) (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (/ (cos (* -2 x)) (* c c)) (cos (* -2 x)) (* -2 x) -2 (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) 1 (* (pow c 2) (* (* x (pow s 2)) x)) (pow c 2) (* (* x (pow s 2)) x) (* x (pow s 2)) (pow s 2) (/ (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) x) (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) (* (pow (* s c) 2) x) (pow (* s c) 2))
11.0ms	c	@	0	((/ (cos (* 2 x)) (pow (* (* s c) x) 2)) (cos (* 2 x)) (* 2 x) 2 x (pow (* (* s c) x) 2) (* (* s c) x) (* s c) s c (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) (* (* (* c c) (* x x)) (* s s)) (* (* c c) (* x x)) (* c c) (* x x) (* s s) (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (/ (cos (* -2 x)) (* c c)) (cos (* -2 x)) (* -2 x) -2 (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) 1 (* (pow c 2) (* (* x (pow s 2)) x)) (pow c 2) (* (* x (pow s 2)) x) (* x (pow s 2)) (pow s 2) (/ (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) x) (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) (* (pow (* s c) 2) x) (pow (* s c) 2))
8.0ms	x	@	inf	((/ (cos (* 2 x)) (pow (* (* s c) x) 2)) (cos (* 2 x)) (* 2 x) 2 x (pow (* (* s c) x) 2) (* (* s c) x) (* s c) s c (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) (* (* (* c c) (* x x)) (* s s)) (* (* c c) (* x x)) (* c c) (* x x) (* s s) (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (/ (cos (* -2 x)) (* c c)) (cos (* -2 x)) (* -2 x) -2 (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) 1 (* (pow c 2) (* (* x (pow s 2)) x)) (pow c 2) (* (* x (pow s 2)) x) (* x (pow s 2)) (pow s 2) (/ (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) x) (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) (* (pow (* s c) 2) x) (pow (* s c) 2))
5.0ms	x	@	-inf	((/ (cos (* 2 x)) (pow (* (* s c) x) 2)) (cos (* 2 x)) (* 2 x) 2 x (pow (* (* s c) x) 2) (* (* s c) x) (* s c) s c (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) (* (* (* c c) (* x x)) (* s s)) (* (* c c) (* x x)) (* c c) (* x x) (* s s) (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (/ (cos (* -2 x)) (* c c)) (cos (* -2 x)) (* -2 x) -2 (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) 1 (* (pow c 2) (* (* x (pow s 2)) x)) (pow c 2) (* (* x (pow s 2)) x) (* x (pow s 2)) (pow s 2) (/ (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) x) (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) (* (pow (* s c) 2) x) (pow (* s c) 2))
5.0ms	c	@	inf	((/ (cos (* 2 x)) (pow (* (* s c) x) 2)) (cos (* 2 x)) (* 2 x) 2 x (pow (* (* s c) x) 2) (* (* s c) x) (* s c) s c (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) (* (* (* c c) (* x x)) (* s s)) (* (* c c) (* x x)) (* c c) (* x x) (* s s) (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (/ (cos (* -2 x)) (* c c)) (cos (* -2 x)) (* -2 x) -2 (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) 1 (* (pow c 2) (* (* x (pow s 2)) x)) (pow c 2) (* (* x (pow s 2)) x) (* x (pow s 2)) (pow s 2) (/ (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) x) (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) (* (pow (* s c) 2) x) (pow (* s c) 2))

rewrite178.0ms (4.3%)

Memory

20.8MiB live, 257.9MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	199	2307
0	244	1943
1	756	1759
0	5633	1699

Stop Event

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

Counts

104 → 711

Calls

Call 1

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

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

eval129.0ms (3.1%)

Memory: 16.2MiB live, 158.5MiB allocated; 36ms collecting garbage
Compiler: Compiled 10 776 to 1 750 computations (83.8% saved)

prune56.0ms (1.3%)

Memory

-12.7MiB live, 79.6MiB allocated; 5ms collecting garbage

Pruning

33 alts after pruning (33 fresh and 0 done)

	Pruned	Kept	Total
New	556	32	588
Fresh	12	1	13
Picked	5	0	5
Done	0	0	0
Total	573	33	606

Accuracy

100.0%

Counts

606 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.7%	(/.f64 (/.f64 (/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) c) c) (.f64 (.f64 s x) s)) x)
	61.0%	(/.f64 (/.f64 (/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) c) c) x) (.f64 (.f64 s x) s))
	74.0%	(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c s)) (.f64 c s)) (.f64 x x))
▶	68.5%	(/.f64 (/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) c) c) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
	82.7%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 (.f64 (*.f64 s x) s) c) c)) x)
	82.5%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 (.f64 (*.f64 c s) c) s) x)) x)
	85.6%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 (.f64 c s) (*.f64 c s)) x)) x)
	95.7%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 (.f64 c s) x) (*.f64 c s))) x)
	37.1%	(/.f64 (/.f64 #s(approx (/ (cos (* -2 x)) (* c c)) (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 c c))) (.f64 s s)) (.f64 x x))
	69.0%	(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (.f64 s x) #s(literal 2 binary64))) (.f64 c c))
	57.6%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 c c) (.f64 x x)) (*.f64 s s)))
	85.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x))
	92.8%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c s) x) (.f64 s x)) c))
	93.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c s) x) c) (.f64 s x)))
	75.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s x) s) (.f64 (.f64 c c) x)))
	73.6%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s s) c) (.f64 (.f64 c x) x)))
	73.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 c x) (.f64 c x)) (.f64 s s)))
▶	97.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 c x) (neg.f64 s)) (.f64 (.f64 c x) (neg.f64 s))))
▶	98.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 c s) x) (.f64 (.f64 c s) x)))
	79.4%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c s) (.f64 (.f64 c s) (.f64 x x))))
	71.6%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (exp.f64 (.f64 (log.f64 (.f64 c x)) #s(literal 2 binary64))) (*.f64 s s)))
	72.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c (.f64 (.f64 (.f64 c x) x) (.f64 s s))))
▶	62.0%	(/.f64 #s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow.f64 (.f64 c s) #s(literal -2 binary64))) (.f64 x x))
	67.7%	(/.f64 #s(approx (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) (/.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) x)) x)
	32.6%	(/.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))) (.f64 (.f64 (.f64 c c) (.f64 x x)) (.f64 s s)))
	31.9%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 c c) (.f64 x x)) (*.f64 s s)))
	63.5%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (pow.f64 (.f64 (*.f64 s c) x) #s(literal 2 binary64)))
▶	38.8%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 c c) (.f64 x x)) (.f64 s s)))
	74.9%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)))
	59.7%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 (.f64 x x) s) s)))
	50.9%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x x) (.f64 s s))))
	69.0%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 s x) (.f64 s x))))
	75.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (.f64 (.f64 c s) x) #s(literal -2 binary64)))

Compiler

Compiled 1 212 to 892 computations (26.4% saved)

series72.0ms (1.7%)

Memory

-12.0MiB live, 85.1MiB allocated; 11ms collecting garbage

Counts

34 → 68

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
24.0ms	s	@	inf	((/ (cos (* 2 x)) (* (* (* c s) x) (* (* c s) x))) (cos (* 2 x)) (* 2 x) 2 x (* (* (* c s) x) (* (* c s) x)) (* (* c s) x) (* c s) c s (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) (cos (* 2 x)) (+ (* (* x x) -2) 1) (* x x) -2 1 (* (* (* c c) (* x x)) (* s s)) (* (* c c) (* x x)) (* c c) (* s s) (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow (* c s) -2) (/ (/ (/ (cos (* 2 x)) c) c) (pow (* s x) 2)) (/ (/ (cos (* 2 x)) c) c) (/ (cos (* 2 x)) c) (cos (* 2 x)) (pow (* s x) 2) (* s x) (/ (cos (* 2 x)) (* (* (* c x) (neg s)) (* (* c x) (neg s)))) (* (* (* c x) (neg s)) (* (* c x) (neg s))) (* (* c x) (neg s)) (* c x) (neg s))
14.0ms	x	@	-inf	((/ (cos (* 2 x)) (* (* (* c s) x) (* (* c s) x))) (cos (* 2 x)) (* 2 x) 2 x (* (* (* c s) x) (* (* c s) x)) (* (* c s) x) (* c s) c s (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) (cos (* 2 x)) (+ (* (* x x) -2) 1) (* x x) -2 1 (* (* (* c c) (* x x)) (* s s)) (* (* c c) (* x x)) (* c c) (* s s) (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow (* c s) -2) (/ (/ (/ (cos (* 2 x)) c) c) (pow (* s x) 2)) (/ (/ (cos (* 2 x)) c) c) (/ (cos (* 2 x)) c) (cos (* 2 x)) (pow (* s x) 2) (* s x) (/ (cos (* 2 x)) (* (* (* c x) (neg s)) (* (* c x) (neg s)))) (* (* (* c x) (neg s)) (* (* c x) (neg s))) (* (* c x) (neg s)) (* c x) (neg s))
6.0ms	c	@	-inf	((/ (cos (* 2 x)) (* (* (* c s) x) (* (* c s) x))) (cos (* 2 x)) (* 2 x) 2 x (* (* (* c s) x) (* (* c s) x)) (* (* c s) x) (* c s) c s (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) (cos (* 2 x)) (+ (* (* x x) -2) 1) (* x x) -2 1 (* (* (* c c) (* x x)) (* s s)) (* (* c c) (* x x)) (* c c) (* s s) (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow (* c s) -2) (/ (/ (/ (cos (* 2 x)) c) c) (pow (* s x) 2)) (/ (/ (cos (* 2 x)) c) c) (/ (cos (* 2 x)) c) (cos (* 2 x)) (pow (* s x) 2) (* s x) (/ (cos (* 2 x)) (* (* (* c x) (neg s)) (* (* c x) (neg s)))) (* (* (* c x) (neg s)) (* (* c x) (neg s))) (* (* c x) (neg s)) (* c x) (neg s))
5.0ms	c	@	inf	((/ (cos (* 2 x)) (* (* (* c s) x) (* (* c s) x))) (cos (* 2 x)) (* 2 x) 2 x (* (* (* c s) x) (* (* c s) x)) (* (* c s) x) (* c s) c s (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) (cos (* 2 x)) (+ (* (* x x) -2) 1) (* x x) -2 1 (* (* (* c c) (* x x)) (* s s)) (* (* c c) (* x x)) (* c c) (* s s) (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow (* c s) -2) (/ (/ (/ (cos (* 2 x)) c) c) (pow (* s x) 2)) (/ (/ (cos (* 2 x)) c) c) (/ (cos (* 2 x)) c) (cos (* 2 x)) (pow (* s x) 2) (* s x) (/ (cos (* 2 x)) (* (* (* c x) (neg s)) (* (* c x) (neg s)))) (* (* (* c x) (neg s)) (* (* c x) (neg s))) (* (* c x) (neg s)) (* c x) (neg s))
5.0ms	s	@	-inf	((/ (cos (* 2 x)) (* (* (* c s) x) (* (* c s) x))) (cos (* 2 x)) (* 2 x) 2 x (* (* (* c s) x) (* (* c s) x)) (* (* c s) x) (* c s) c s (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) (cos (* 2 x)) (+ (* (* x x) -2) 1) (* x x) -2 1 (* (* (* c c) (* x x)) (* s s)) (* (* c c) (* x x)) (* c c) (* s s) (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow (* c s) -2) (/ (/ (/ (cos (* 2 x)) c) c) (pow (* s x) 2)) (/ (/ (cos (* 2 x)) c) c) (/ (cos (* 2 x)) c) (cos (* 2 x)) (pow (* s x) 2) (* s x) (/ (cos (* 2 x)) (* (* (* c x) (neg s)) (* (* c x) (neg s)))) (* (* (* c x) (neg s)) (* (* c x) (neg s))) (* (* c x) (neg s)) (* c x) (neg s))

rewrite233.0ms (5.6%)

Memory

23.5MiB live, 297.9MiB allocated; 48ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	215	2238
0	253	1853
1	919	1679
0	7410	1634

Stop Event

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

Counts

102 → 770

Calls

Call 1

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

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

eval77.0ms (1.8%)

Memory: 1.1MiB live, 193.0MiB allocated; 23ms collecting garbage
Compiler: Compiled 15 563 to 1 990 computations (87.2% saved)

prune128.0ms (3.1%)

Memory

-7.2MiB live, 102.1MiB allocated; 16ms collecting garbage

Pruning

38 alts after pruning (36 fresh and 2 done)

	Pruned	Kept	Total
New	700	21	721
Fresh	13	15	28
Picked	3	2	5
Done	0	0	0
Total	716	38	754

Accuracy

100.0%

Counts

754 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.8%	(/.f64 (/.f64 (/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) c) c) (.f64 s x)) (.f64 s x))
	74.0%	(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c s)) (.f64 c s)) (.f64 x x))
	66.8%	(/.f64 (/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) c) c) (.f64 (.f64 (*.f64 s x) x) s))
	64.1%	(/.f64 (/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) c) c) (.f64 (.f64 (*.f64 s x) s) x))
	82.7%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 (.f64 (*.f64 s x) s) c) c)) x)
	82.5%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 (.f64 (*.f64 c s) c) s) x)) x)
	85.6%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 (.f64 c s) (*.f64 c s)) x)) x)
	95.7%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 (.f64 c s) x) (*.f64 c s))) x)
▶	67.7%	(/.f64 (/.f64 #s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow.f64 (*.f64 s c) #s(literal -2 binary64))) x) x)
▶	61.6%	(/.f64 (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (neg.f64 c) s) x)) (.f64 (*.f64 (neg.f64 c) s) x))
	60.7%	(/.f64 (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 c x) s)) (.f64 (*.f64 c x) s))
	45.3%	(/.f64 (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 c x)) (.f64 (.f64 s s) (*.f64 c x)))
	69.0%	(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (.f64 s x) #s(literal 2 binary64))) (.f64 c c))
	71.0%	(/.f64 (neg.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64))) (.f64 (neg.f64 c) (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c)))
▶	98.1%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 c s) x) (.f64 (*.f64 c s) x)))
	57.6%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 c c) (.f64 x x)) (*.f64 s s)))
	85.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x))
	93.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c s) x) c) (.f64 s x)))
	84.8%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 s x)) c) (.f64 s c)))
	73.6%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s s) c) (.f64 (.f64 c x) x)))
▶	79.4%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 s c) (.f64 (.f64 s c) (.f64 x x))))
	71.6%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (exp.f64 (.f64 (log.f64 (.f64 c x)) #s(literal 2 binary64))) (*.f64 s s)))
	82.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 s (.f64 c (.f64 (.f64 x (.f64 s x)) c))))
	92.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c (.f64 (.f64 s x) (.f64 (.f64 c x) s))))
✓	62.0%	(/.f64 #s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow.f64 (.f64 c s) #s(literal -2 binary64))) (.f64 x x))
	56.8%	(/.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))) (.f64 (.f64 (.f64 c x) (neg.f64 s)) (.f64 (.f64 c x) (neg.f64 s))))
	57.7%	(/.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))) (.f64 (.f64 (.f64 c s) x) (.f64 (.f64 c s) x)))
	55.5%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 c x) (neg.f64 s)) (.f64 (*.f64 c x) (neg.f64 s))))
	56.3%	(/.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))) (.f64 (.f64 (.f64 c s) x) (.f64 (*.f64 c s) x)))
	42.9%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 c x) (.f64 c x)) (.f64 s s)))
✓	38.8%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 c c) (.f64 x x)) (.f64 s s)))
	18.5%	(/.f64 #s(approx (cos (* 2 x)) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64)))) (.f64 (.f64 (.f64 c c) (.f64 x x)) (*.f64 s s)))
▶	49.3%	(/.f64 #s(approx (cos (* 2 x)) #s(approx (+ (* (* x x) -2) 1) #s(literal 1 binary64))) (.f64 (.f64 (.f64 c c) (.f64 x x)) (*.f64 s s)))
	74.0%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64)))
	74.9%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)))
	59.7%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 (.f64 x x) s) s)))
	69.0%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 s x) (.f64 s x))))
	75.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (.f64 (.f64 c s) x) #s(literal -2 binary64)))

Compiler

Compiled 1 469 to 1 050 computations (28.5% saved)

series66.0ms (1.6%)

Memory

-6.7MiB live, 125.4MiB allocated; 15ms collecting garbage

Counts

37 → 76

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	c	@	0	((/ (cos (+ x x)) (* (* (* c s) x) (* (* c s) x))) (cos (+ x x)) (+ x x) x (* (* (* c s) x) (* (* c s) x)) (* (* c s) x) (* c s) c s (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) (cos (* 2 x)) (+ (* (* x x) -2) 1) 1 (* (* (* c c) (* x x)) (* s s)) (* (* c c) (* x x)) (* c c) (* x x) (* s s) (/ (/ (cos (* 2 x)) (* (* (neg c) s) x)) (* (* (neg c) s) x)) (/ (cos (* 2 x)) (* (* (neg c) s) x)) (cos (* 2 x)) (+ (* (* x x) -2) 1) -2 (* (* (neg c) s) x) (* (neg c) s) (neg c) (/ (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) x) x) (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) x) (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow (* s c) -2) (* s c) (/ (cos (* 2 x)) (* (* s c) (* (* s c) (* x x)))) (cos (* 2 x)) (* 2 x) 2 (* (* s c) (* (* s c) (* x x))) (* (* s c) (* x x)))
10.0ms	x	@	-inf	((/ (cos (+ x x)) (* (* (* c s) x) (* (* c s) x))) (cos (+ x x)) (+ x x) x (* (* (* c s) x) (* (* c s) x)) (* (* c s) x) (* c s) c s (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) (cos (* 2 x)) (+ (* (* x x) -2) 1) 1 (* (* (* c c) (* x x)) (* s s)) (* (* c c) (* x x)) (* c c) (* x x) (* s s) (/ (/ (cos (* 2 x)) (* (* (neg c) s) x)) (* (* (neg c) s) x)) (/ (cos (* 2 x)) (* (* (neg c) s) x)) (cos (* 2 x)) (+ (* (* x x) -2) 1) -2 (* (* (neg c) s) x) (* (neg c) s) (neg c) (/ (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) x) x) (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) x) (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow (* s c) -2) (* s c) (/ (cos (* 2 x)) (* (* s c) (* (* s c) (* x x)))) (cos (* 2 x)) (* 2 x) 2 (* (* s c) (* (* s c) (* x x))) (* (* s c) (* x x)))
8.0ms	c	@	inf	((/ (cos (+ x x)) (* (* (* c s) x) (* (* c s) x))) (cos (+ x x)) (+ x x) x (* (* (* c s) x) (* (* c s) x)) (* (* c s) x) (* c s) c s (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) (cos (* 2 x)) (+ (* (* x x) -2) 1) 1 (* (* (* c c) (* x x)) (* s s)) (* (* c c) (* x x)) (* c c) (* x x) (* s s) (/ (/ (cos (* 2 x)) (* (* (neg c) s) x)) (* (* (neg c) s) x)) (/ (cos (* 2 x)) (* (* (neg c) s) x)) (cos (* 2 x)) (+ (* (* x x) -2) 1) -2 (* (* (neg c) s) x) (* (neg c) s) (neg c) (/ (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) x) x) (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) x) (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow (* s c) -2) (* s c) (/ (cos (* 2 x)) (* (* s c) (* (* s c) (* x x)))) (cos (* 2 x)) (* 2 x) 2 (* (* s c) (* (* s c) (* x x))) (* (* s c) (* x x)))
7.0ms	s	@	-inf	((/ (cos (+ x x)) (* (* (* c s) x) (* (* c s) x))) (cos (+ x x)) (+ x x) x (* (* (* c s) x) (* (* c s) x)) (* (* c s) x) (* c s) c s (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) (cos (* 2 x)) (+ (* (* x x) -2) 1) 1 (* (* (* c c) (* x x)) (* s s)) (* (* c c) (* x x)) (* c c) (* x x) (* s s) (/ (/ (cos (* 2 x)) (* (* (neg c) s) x)) (* (* (neg c) s) x)) (/ (cos (* 2 x)) (* (* (neg c) s) x)) (cos (* 2 x)) (+ (* (* x x) -2) 1) -2 (* (* (neg c) s) x) (* (neg c) s) (neg c) (/ (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) x) x) (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) x) (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow (* s c) -2) (* s c) (/ (cos (* 2 x)) (* (* s c) (* (* s c) (* x x)))) (cos (* 2 x)) (* 2 x) 2 (* (* s c) (* (* s c) (* x x))) (* (* s c) (* x x)))
6.0ms	c	@	-inf	((/ (cos (+ x x)) (* (* (* c s) x) (* (* c s) x))) (cos (+ x x)) (+ x x) x (* (* (* c s) x) (* (* c s) x)) (* (* c s) x) (* c s) c s (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) (cos (* 2 x)) (+ (* (* x x) -2) 1) 1 (* (* (* c c) (* x x)) (* s s)) (* (* c c) (* x x)) (* c c) (* x x) (* s s) (/ (/ (cos (* 2 x)) (* (* (neg c) s) x)) (* (* (neg c) s) x)) (/ (cos (* 2 x)) (* (* (neg c) s) x)) (cos (* 2 x)) (+ (* (* x x) -2) 1) -2 (* (* (neg c) s) x) (* (neg c) s) (neg c) (/ (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) x) x) (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) x) (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow (* s c) -2) (* s c) (/ (cos (* 2 x)) (* (* s c) (* (* s c) (* x x)))) (cos (* 2 x)) (* 2 x) 2 (* (* s c) (* (* s c) (* x x))) (* (* s c) (* x x)))

rewrite72.0ms (1.7%)

Memory

18.4MiB live, 73.5MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	233	2566
0	271	2181
0	938	2145

Stop Event

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

Counts

113 → 233

Calls

Call 1

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

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

eval49.0ms (1.2%)

Memory: -22.8MiB live, 66.0MiB allocated; 13ms collecting garbage
Compiler: Compiled 7 006 to 765 computations (89.1% saved)

prune50.0ms (1.2%)

Memory

17.0MiB live, 117.9MiB allocated; 10ms collecting garbage

Pruning

36 alts after pruning (32 fresh and 4 done)

	Pruned	Kept	Total
New	268	12	280
Fresh	11	20	31
Picked	2	3	5
Done	1	1	2
Total	282	36	318

Accuracy

100.0%

Counts

318 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (neg.f64 c) s)) x) (.f64 (.f64 (neg.f64 c) s) x))
	74.0%	(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c s)) (.f64 c s)) (.f64 x x))
	59.3%	(/.f64 (/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (neg.f64 c) s) x)) (.f64 (neg.f64 c) s)) x)
	61.6%	(/.f64 (/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (neg.f64 c) s)) x) (.f64 (.f64 (neg.f64 c) s) x))
	66.8%	(/.f64 (/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) c) c) (.f64 (.f64 (*.f64 s x) x) s))
	64.1%	(/.f64 (/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) c) c) (.f64 (.f64 (*.f64 s x) s) x))
	82.7%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 (.f64 (*.f64 s x) s) c) c)) x)
	85.6%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 (.f64 c s) (*.f64 c s)) x)) x)
	95.7%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 (.f64 c s) x) (*.f64 c s))) x)
✓	67.7%	(/.f64 (/.f64 #s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow.f64 (*.f64 s c) #s(literal -2 binary64))) x) x)
	60.7%	(/.f64 (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 c x) s)) (.f64 (*.f64 c x) s))
	62.3%	(/.f64 (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (neg.f64 c) (.f64 s x))) (.f64 (*.f64 (neg.f64 c) s) x))
	69.0%	(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (.f64 s x) #s(literal 2 binary64))) (.f64 c c))
	78.0%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 x x) s) c) (*.f64 s c)))
	94.1%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 s x) c) (*.f64 s c)) x))
	97.6%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 s x) c) (.f64 (*.f64 s x) c)))
✓	98.1%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 c s) x) (.f64 (*.f64 c s) x)))
	92.9%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 s c) (.f64 x (.f64 (*.f64 s x) c))))
	85.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x))
	93.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c s) x) c) (.f64 s x)))
	73.6%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s s) c) (.f64 (.f64 c x) x)))
	75.1%	(/.f64 #s(approx (/ (cos (* 2 x)) (* (* (neg c) s) x)) (/.f64 (/.f64 #s(literal -1 binary64) c) (.f64 s x))) (.f64 (*.f64 (neg.f64 c) s) x))
	74.9%	(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c s) x) (.f64 (*.f64 c s) x)))
	56.8%	(/.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))) (.f64 (.f64 (.f64 c x) (neg.f64 s)) (.f64 (.f64 c x) (neg.f64 s))))
	57.7%	(/.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))) (.f64 (.f64 (.f64 c s) x) (.f64 (.f64 c s) x)))
	55.5%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 c x) (neg.f64 s)) (.f64 (*.f64 c x) (neg.f64 s))))
	56.3%	(/.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))) (.f64 (.f64 (.f64 c s) x) (.f64 (*.f64 c s) x)))
	42.9%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 c x) (.f64 c x)) (.f64 s s)))
✓	38.8%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 c c) (.f64 x x)) (.f64 s s)))
	18.5%	(/.f64 #s(approx (cos (* 2 x)) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64)))) (.f64 (.f64 (.f64 c c) (.f64 x x)) (*.f64 s s)))
	54.4%	(/.f64 #s(approx (cos (* 2 x)) #s(approx (+ (* (* x x) -2) 1) #s(literal 1 binary64))) (.f64 (.f64 (.f64 c x) (.f64 c x)) (*.f64 s s)))
✓	49.3%	(/.f64 #s(approx (cos (* 2 x)) #s(approx (+ (* (* x x) -2) 1) #s(literal 1 binary64))) (.f64 (.f64 (.f64 c c) (.f64 x x)) (*.f64 s s)))
	50.5%	(/.f64 #s(approx (cos (* 2 x)) #s(approx (+ (* (* x x) -2) 1) #s(literal 1 binary64))) (.f64 (.f64 c (.f64 c (.f64 x x))) (*.f64 s s)))
	74.0%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64)))
	59.7%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 (.f64 x x) s) s)))
	75.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (.f64 (.f64 c s) x) #s(literal -2 binary64)))

Compiler

Compiled 2 391 to 833 computations (65.2% saved)

regimes131.0ms (3.1%)

Memory

-13.6MiB live, 266.3MiB allocated; 25ms collecting garbage

Counts

84 → 1

Calls

Call 1

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

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

Calls

6 calls:

22.0ms	s
22.0ms	x
21.0ms	c
21.0ms	(pow.f64 s #s(literal 2 binary64))
21.0ms	(/.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
98.6%	1	`(pow.f64 s #s(literal 2 binary64))`
98.6%	1	`(pow.f64 c #s(literal 2 binary64))`
98.6%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
98.6%	1	`x`
98.6%	1	`c`
98.6%	1	`s`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes104.0ms (2.5%)

Memory

6.1MiB live, 200.0MiB allocated; 20ms collecting garbage

Counts

69 → 1

Calls

Call 1

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

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

Calls

6 calls:

18.0ms	s
18.0ms	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
18.0ms	(pow.f64 s #s(literal 2 binary64))
17.0ms	c
16.0ms	x

Results

Accuracy	Segments	Branch
98.1%	1	`(pow.f64 s #s(literal 2 binary64))`
98.1%	1	`s`
98.1%	1	`(pow.f64 c #s(literal 2 binary64))`
98.1%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
98.1%	1	`x`
98.1%	1	`c`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes61.0ms (1.5%)

Memory

8.2MiB live, 107.8MiB allocated; 6ms collecting garbage

Counts

40 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
92.9%	1	`s`
92.9%	1	`(pow.f64 s #s(literal 2 binary64))`
92.9%	1	`(pow.f64 c #s(literal 2 binary64))`
95.7%	2	`x`
92.9%	1	`c`
92.9%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes56.0ms (1.3%)

Memory

16.5MiB live, 109.0MiB allocated; 3ms collecting garbage

Counts

38 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
78.1%	2	`(pow.f64 s #s(literal 2 binary64))`
78.1%	2	`s`
77.3%	2	`(pow.f64 c #s(literal 2 binary64))`
81.2%	2	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
77.3%	2	`c`
76.9%	2	`x`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes3.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated; 0ms collecting garbage

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

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
81.1%	2	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes4.0ms (0.1%)

Memory

-39.1MiB live, 7.4MiB allocated; 1ms collecting garbage

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

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
80.9%	2	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes2.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated; 0ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
78.9%	2	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes12.0ms (0.3%)

Memory

-15.7MiB live, 37.6MiB allocated; 2ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
74.9%	1	`x`
74.9%	1	`(pow.f64 c #s(literal 2 binary64))`
74.9%	1	`c`
74.9%	1	`(pow.f64 s #s(literal 2 binary64))`
74.9%	1	`s`
74.9%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes9.0ms (0.2%)

Memory

18.2MiB live, 18.2MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

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
54.4%	1	`c`
54.4%	1	`(pow.f64 s #s(literal 2 binary64))`
54.4%	1	`(pow.f64 c #s(literal 2 binary64))`
54.4%	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)))`
54.4%	1	`s`
54.4%	1	`x`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes8.0ms (0.2%)

Memory

14.4MiB live, 14.4MiB allocated; 0ms collecting garbage

Accuracy

Total -0.8b remaining (-2.4%)

Threshold costs -0.8b (-2.4%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
50.5%	1	`(pow.f64 s #s(literal 2 binary64))`
50.5%	1	`s`
50.5%	1	`c`
50.5%	1	`(pow.f64 c #s(literal 2 binary64))`
50.5%	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)))`
50.5%	1	`x`

Compiler

Compiled 25 to 31 computations (-24% saved)

bsearch11.0ms (0.3%)

Memory

-24.8MiB live, 20.7MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.1380811302333178e-158	1.5978727222935043e-158

Samples

7.0ms

64×

valid

Compiler

Compiled 147 to 126 computations (14.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (57.4% of total)

ival-pow2: 1.0ms (19.1% of total)

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

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

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.070981815905722e-109	-5.329752128305094e-212

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.070981815905722e-109	-5.329752128305094e-212

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.070981815905722e-109	-5.329752128305094e-212

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5.786209615918071e-26	-2.982808861142301e-36

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify50.0ms (1.2%)

Memory

9.7MiB live, 55.9MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	92	403
1	128	403
2	216	403
3	436	403
4	1336	401
5	4771	401

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (neg.f64 c) s)) x) (.f64 (.f64 (neg.f64 c) s) x))
(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 c s) x) (.f64 (*.f64 c s) x)))
(if (<=.f64 x #s(literal 1422149808470351/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568 binary64)) (/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (.f64 s x) #s(literal 2 binary64))) (.f64 c c)) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 s c) (.f64 x (.f64 (*.f64 s x) 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 -5288447750321989/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096 binary64)) (/.f64 (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 c x)) (.f64 (.f64 s s) (.f64 c x))) (/.f64 #s(approx (/ (cos ( 2 x)) (* (* (neg c) s) x)) (/.f64 (/.f64 #s(literal -1 binary64) c) (.f64 s x))) (.f64 (*.f64 (neg.f64 c) s) x)))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -5288447750321989/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096 binary64)) (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 c x) (.f64 c x)) (.f64 s s))) (/.f64 #s(approx (/ (cos (* 2 x)) (* (* (neg c) s) x)) (/.f64 (/.f64 #s(literal -1 binary64) c) (.f64 s x))) (.f64 (*.f64 (neg.f64 c) s) x)))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -5288447750321989/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096 binary64)) (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 c x) (.f64 c x)) (.f64 s s))) (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c s) x) (.f64 (*.f64 c s) x))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -8711228593176025/174224571863520493293247799005065324265472 binary64)) (/.f64 #s(approx (cos (* 2 x)) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64)))) (.f64 (.f64 (.f64 c c) (.f64 x x)) (.f64 s s))) (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c s) x) (.f64 (.f64 c s) x))))
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c s) x) (.f64 (*.f64 c s) x)))
(/.f64 #s(approx (cos (* 2 x)) #s(approx (+ (* (* x x) -2) 1) #s(literal 1 binary64))) (.f64 (.f64 (.f64 c x) (.f64 c x)) (*.f64 s s)))
(/.f64 #s(approx (cos (* 2 x)) #s(approx (+ (* (* x x) -2) 1) #s(literal 1 binary64))) (.f64 (.f64 c (.f64 c (.f64 x x))) (*.f64 s s)))

Outputs
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (neg.f64 c) s)) x) (.f64 (.f64 (neg.f64 c) s) x))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c s)) x) (.f64 (.f64 c s) x))
(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 c s) x) (.f64 (*.f64 c s) x)))
(if (<=.f64 x #s(literal 1422149808470351/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568 binary64)) (/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (.f64 s x) #s(literal 2 binary64))) (.f64 c c)) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 s c) (.f64 x (.f64 (*.f64 s x) 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 -5288447750321989/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096 binary64)) (/.f64 (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 c x)) (.f64 (.f64 s s) (.f64 c x))) (/.f64 #s(approx (/ (cos ( 2 x)) (* (* (neg c) s) x)) (/.f64 (/.f64 #s(literal -1 binary64) c) (.f64 s x))) (.f64 (*.f64 (neg.f64 c) s) x)))
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derivations277.0ms (6.6%)

Memory

-8.5MiB live, 183.5MiB allocated; 15ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 401 to 92 computations (77.1% saved)

preprocess82.0ms (2%)

Memory

19.7MiB live, 66.5MiB allocated; 3ms collecting garbage

Remove

(sort c s)

(abs s)

(abs c)

(abs x)

Compiler

Compiled 1 218 to 472 computations (61.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze154.0ms (3.7%)

sample1.4s (32.7%)

explain175.0ms (4.2%)

preprocess241.0ms (5.7%)

eval0.0ms (0%)

prune1.0ms (0%)

series26.0ms (0.6%)

rewrite162.0ms (3.9%)

eval29.0ms (0.7%)

prune13.0ms (0.3%)

series98.0ms (2.3%)

rewrite178.0ms (4.3%)

eval129.0ms (3.1%)

prune56.0ms (1.3%)

series72.0ms (1.7%)

rewrite233.0ms (5.6%)

eval77.0ms (1.8%)

prune128.0ms (3.1%)

series66.0ms (1.6%)

rewrite72.0ms (1.7%)

eval49.0ms (1.2%)

prune50.0ms (1.2%)

regimes131.0ms (3.1%)

regimes104.0ms (2.5%)

regimes61.0ms (1.5%)

regimes56.0ms (1.3%)

regimes3.0ms (0.1%)

regimes4.0ms (0.1%)

regimes2.0ms (0.1%)

regimes12.0ms (0.3%)

regimes9.0ms (0.2%)

regimes8.0ms (0.2%)

bsearch11.0ms (0.3%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify50.0ms (1.2%)

derivations277.0ms (6.6%)

preprocess82.0ms (2%)

end0.0ms (0%)

Profiling