Metrics for mixedcos

start0.0ms (0%)

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

analyze138.0ms (2.2%)

Memory

3.8MiB live, 140.1MiB allocated; 15ms 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)

sample2.0s (32%)

Memory

1.9MiB live, 1 553.9MiB allocated; 1.0s collecting garbage

Samples

1.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 982.0ms

ival-pow2: 396.0ms (40.3% of total)

ival-mult: 302.0ms (30.7% of total)

ival-cos: 211.0ms (21.5% of total)

ival-div: 55.0ms (5.6% of total)

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

exact: 6.0ms (0.6% of total)

adjust: 3.0ms (0.3% of total)

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

Bogosity

explain284.0ms (4.5%)

Memory

-49.4MiB live, 203.6MiB allocated; 41ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
49	0	-	-	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`
32	0	-	-	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`
14	0	-	-	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`
2	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	-	-	`(pow.f64 c #s(literal 2 binary64))`
0	0	-	-	`(*.f64 #s(literal 2 binary64) x)`
0	116	(-1.0067914813640679e+204 5.414010604846325e-189 2.5268799563847686e-18)	-	`(cos.f64 (*.f64 #s(literal 2 binary64) x))`
0	0	-	-	`s`
0	0	-	-	`c`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`x`
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	116	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**	16	0
↳	`(pow.f64 c #s(literal 2 binary64))`	underflow	57
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	overflow	73
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	overflow	64
↳	`(pow.f64 s #s(literal 2 binary64))`	overflow	69
`*.f64`	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	*nu**	15	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*ou**	13	0
↳	`(pow.f64 c #s(literal 2 binary64))`	overflow	58
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	underflow	75
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	underflow	63
↳	`(pow.f64 s #s(literal 2 binary64))`	underflow	58
`*.f64`	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	*no**	12	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*nu**	11	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*no**	9	0
`/.f64`	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`	n/o	2	0
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	overflow	73
↳	`(pow.f64 c #s(literal 2 binary64))`	overflow	58
↳	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	overflow	85
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	overflow	64
↳	`(pow.f64 s #s(literal 2 binary64))`	overflow	69
`*.f64`	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	*nu**	2	0

Confusion

	Predicted +	Predicted -
+	78	0
-	87	91

Precision

0.4727272727272727

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	78	0	0
-	87	0	91

Precision?

0.4727272727272727

Recall?

1.0

Freqs

test

number	freq
0	91
1	117
2	48

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

87.0ms

512×

valid

Compiler

Compiled 132 to 40 computations (69.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-mult: 44.0ms (64.4% of total)

ival-cos: 10.0ms (14.6% of total)

ival-pow2: 10.0ms (14.6% of total)

ival-div: 3.0ms (4.4% 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)

preprocess177.0ms (2.8%)

Memory

33.4MiB live, 167.1MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	161
1	146	147
2	507	147
3	2091	147
4	5341	147
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 s)

(abs c)

(abs x)

(sort c s)

Compiler

Compiled 16 to 12 computations (25% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))

Compiler

Compiled 16 to 12 computations (25% saved)

simplify155.0ms (2.4%)

Memory

0.3MiB live, 143.5MiB allocated; 20ms collecting garbage

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize63.0ms (1%)

Memory

-1.8MiB live, 42.2MiB allocated; 5ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.31452957909589263	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
accuracy	4.342702005359646	(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)
accuracy	7.071497773464722	(*.f64 x (pow.f64 s #s(literal 2 binary64)))
accuracy	11.438339555252293	(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))

Samples

55.0ms

256×

valid

Compiler

Compiled 58 to 14 computations (75.9% saved)

Precisions

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

ival-pow2: 33.0ms (71.8% of total)

ival-mult: 6.0ms (13.1% of total)

ival-cos: 5.0ms (10.9% of total)

ival-div: 1.0ms (2.2% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series43.0ms (0.7%)

Memory

15.5MiB live, 68.4MiB allocated; 20ms collecting garbage

Counts

6 → 14

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
23.0ms	c	@	-inf	((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x))
3.0ms	s	@	0	((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x))
3.0ms	x	@	inf	((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x))
3.0ms	x	@	0	((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x))
2.0ms	x	@	-inf	((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x))

simplify249.0ms (3.9%)

Memory

20.6MiB live, 290.9MiB allocated; 53ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 14

Calls

Call 1

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

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

rewrite58.0ms (0.9%)

Memory

-63.9MiB live, 70.3MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 52

Calls

Call 1

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

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

eval7.0ms (0.1%)

Memory: 14.2MiB live, 14.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 453 to 251 computations (82.7% saved)

prune11.0ms (0.2%)

Memory

-21.1MiB live, 26.6MiB allocated; 2ms collecting garbage

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	52	14	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	14	67

Accuracy

90.4%

Counts

67 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.0%	(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c c)) x) (.f64 (.f64 s s) x))
	71.9%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 (.f64 c c) x) (*.f64 s s))) x)
	69.5%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c c)) (.f64 (.f64 (*.f64 s s) x) x))
	77.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 (*.f64 x s) s) x)))
▶	77.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 (.f64 s s) x) x) c) c))
	70.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 s s) x) x) (.f64 c c)))
	71.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c c) x) (.f64 s s)) x))
▶	71.6%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s s) x) (.f64 x (.f64 c c))))
	77.6%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 (*.f64 c c) x) x) s) s)))
	45.7%	(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 s s) x) x) c) c)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 s s) x) x) c) c)))
	30.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) s) (.f64 (.f64 s c) c)) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) s) (.f64 (.f64 s c) c))) (*.f64 x x)))
▶	55.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 c c) x) x) s) s)))
▶	79.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 c c) x)) (.f64 s x)) s))
	69.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 c c) x) x)) s) s))

Compiler

Compiled 680 to 452 computations (33.5% saved)

simplify143.0ms (2.2%)

Memory

9.6MiB live, 149.2MiB allocated; 22ms collecting garbage

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	369
0	73	369
1	167	369
2	544	369
3	3828	369
0	8173	369

Stop Event

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

Calls

Call 1

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

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

localize136.0ms (2.1%)

Memory

3.3MiB live, 139.3MiB allocated; 12ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3010317461529337	(/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c c))
accuracy	7.071497773464722	(.f64 (.f64 s s) x)
accuracy	8.043012077152731	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c c)) x)
accuracy	9.355453955210463	(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c c)) x) (.f64 (.f64 s s) x))
accuracy	2.9671722203477646	(.f64 (.f64 (.f64 (.f64 s s) x) x) c)
accuracy	3.1528983635470595	(.f64 (.f64 (.f64 (.f64 (*.f64 s s) x) x) c) c)
accuracy	4.342702005359646	(.f64 (.f64 (*.f64 s s) x) x)
accuracy	7.071497773464722	(.f64 (.f64 s s) x)
accuracy	0.31452957909589263	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s s) x) (.f64 x (.f64 c c))))
accuracy	7.071497773464722	(.f64 (.f64 s s) x)
accuracy	8.157987482235601	(.f64 x (.f64 c c))
accuracy	8.958016115162781	(.f64 (.f64 (.f64 s s) x) (.f64 x (*.f64 c c)))
accuracy	3.5584315614956137	(.f64 (.f64 (.f64 (.f64 (*.f64 c c) x) x) s) s)
accuracy	8.157987482235601	(.f64 (.f64 c c) x)
accuracy	14.219393805263348	(/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 c c) x) x) s) s))
accuracy	17.211266474758705	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 c c) x) x) s) s)))
accuracy	0.166347509768442	(/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (*.f64 c c) x))
accuracy	4.047737772270786	(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 c c) x)) (.f64 s x)) s)
accuracy	5.510391516743512	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 c c) x)) (.f64 s x))
accuracy	8.157987482235601	(.f64 (.f64 c c) x)

Samples

83.0ms

256×

valid

Compiler

Compiled 337 to 43 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 30.0ms (49.2% of total)

ival-div: 13.0ms (21.3% of total)

ival-cos: 10.0ms (16.4% of total)

ival-pow2: 5.0ms (8.2% of total)

ival-add: 1.0ms (1.6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series53.0ms (0.8%)

Memory

23.5MiB live, 79.7MiB allocated; 7ms collecting garbage

Counts

24 → 74

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
13.0ms	c	@	0	((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) s) (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/ (cos (* -2 x)) (* (* c c) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (+ (* -2 (* x x)) 1) (* x x) (/ (cos (* 2 x)) (* (* (* s s) x) (* x (* c c)))) (cos (* 2 x)) (* 2 x) (* (* (* s s) x) (* x (* c c))) (/ (cos (* 2 x)) (* (* (* (* (* s s) x) x) c) c)) (* (* (* (* (* s s) x) x) c) c) (/ (/ (/ (cos (* -2 x)) (* c c)) x) (* (* s s) x)) (/ (/ (cos (* -2 x)) (* c c)) x) (/ (cos (* -2 x)) (* c c)) (cos (* -2 x)) (* (* c c) x) (* (* (* (* (* c c) x) x) s) s) (* x (* c c)) (* (* s s) x) (* (* (* s s) x) x) (* (* (* (* s s) x) x) c))
6.0ms	x	@	inf	((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) s) (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/ (cos (* -2 x)) (* (* c c) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (+ (* -2 (* x x)) 1) (* x x) (/ (cos (* 2 x)) (* (* (* s s) x) (* x (* c c)))) (cos (* 2 x)) (* 2 x) (* (* (* s s) x) (* x (* c c))) (/ (cos (* 2 x)) (* (* (* (* (* s s) x) x) c) c)) (* (* (* (* (* s s) x) x) c) c) (/ (/ (/ (cos (* -2 x)) (* c c)) x) (* (* s s) x)) (/ (/ (cos (* -2 x)) (* c c)) x) (/ (cos (* -2 x)) (* c c)) (cos (* -2 x)) (* (* c c) x) (* (* (* (* (* c c) x) x) s) s) (* x (* c c)) (* (* s s) x) (* (* (* s s) x) x) (* (* (* (* s s) x) x) c))
6.0ms	x	@	-inf	((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) s) (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/ (cos (* -2 x)) (* (* c c) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (+ (* -2 (* x x)) 1) (* x x) (/ (cos (* 2 x)) (* (* (* s s) x) (* x (* c c)))) (cos (* 2 x)) (* 2 x) (* (* (* s s) x) (* x (* c c))) (/ (cos (* 2 x)) (* (* (* (* (* s s) x) x) c) c)) (* (* (* (* (* s s) x) x) c) c) (/ (/ (/ (cos (* -2 x)) (* c c)) x) (* (* s s) x)) (/ (/ (cos (* -2 x)) (* c c)) x) (/ (cos (* -2 x)) (* c c)) (cos (* -2 x)) (* (* c c) x) (* (* (* (* (* c c) x) x) s) s) (* x (* c c)) (* (* s s) x) (* (* (* s s) x) x) (* (* (* (* s s) x) x) c))
5.0ms	c	@	inf	((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) s) (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/ (cos (* -2 x)) (* (* c c) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (+ (* -2 (* x x)) 1) (* x x) (/ (cos (* 2 x)) (* (* (* s s) x) (* x (* c c)))) (cos (* 2 x)) (* 2 x) (* (* (* s s) x) (* x (* c c))) (/ (cos (* 2 x)) (* (* (* (* (* s s) x) x) c) c)) (* (* (* (* (* s s) x) x) c) c) (/ (/ (/ (cos (* -2 x)) (* c c)) x) (* (* s s) x)) (/ (/ (cos (* -2 x)) (* c c)) x) (/ (cos (* -2 x)) (* c c)) (cos (* -2 x)) (* (* c c) x) (* (* (* (* (* c c) x) x) s) s) (* x (* c c)) (* (* s s) x) (* (* (* s s) x) x) (* (* (* (* s s) x) x) c))
4.0ms	s	@	-inf	((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) s) (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/ (cos (* -2 x)) (* (* c c) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (+ (* -2 (* x x)) 1) (* x x) (/ (cos (* 2 x)) (* (* (* s s) x) (* x (* c c)))) (cos (* 2 x)) (* 2 x) (* (* (* s s) x) (* x (* c c))) (/ (cos (* 2 x)) (* (* (* (* (* s s) x) x) c) c)) (* (* (* (* (* s s) x) x) c) c) (/ (/ (/ (cos (* -2 x)) (* c c)) x) (* (* s s) x)) (/ (/ (cos (* -2 x)) (* c c)) x) (/ (cos (* -2 x)) (* c c)) (cos (* -2 x)) (* (* c c) x) (* (* (* (* (* c c) x) x) s) s) (* x (* c c)) (* (* s s) x) (* (* (* s s) x) x) (* (* (* (* s s) x) x) c))

simplify117.0ms (1.8%)

Memory

7.1MiB live, 96.7MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	210	2376
1	497	2236
2	2213	2144
0	8176	2065

Stop Event

1×	iter limit
1×	node limit

Counts

74 → 74

Calls

Call 1

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

Outputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) x) (* (* s s) x)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 s x) s)) (.f64 (.f64 c c) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) x) (* (* s s) x)) (/.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) x) x #s(literal 1 binary64)) s) (.f64 (.f64 (.f64 (*.f64 c c) x) x) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) x) (* (* s s) x)) (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 (.f64 s c) (.f64 s c))) #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 s x) s)) (.f64 (.f64 c c) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) x) (* (* s s) x)) (/.f64 (fma.f64 (.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 (.f64 s c) (.f64 s c))) (.f64 x x)) (.f64 x x) (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) x) x #s(literal 1 binary64)) (.f64 (.f64 s c) (.f64 s c)))) (.f64 x x)))
#s(approx (/ (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) s) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) x) (* (* s s) x)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 s x) s)) (.f64 (.f64 c c) x)))
#s(approx (/ (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) s) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) x) (* (* s s) x)) (/.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) x) x #s(literal 1 binary64)) s) (.f64 (.f64 (.f64 (*.f64 c c) x) x) s)))
#s(approx (/ (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) s) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) x) (* (* s s) x)) (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 (.f64 s c) (.f64 s c))) #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 s x) s)) (.f64 (.f64 c c) x))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) s) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) x) (* (* s s) x)) (/.f64 (fma.f64 (.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 (.f64 s c) (.f64 s c))) (.f64 x x)) (.f64 x x) (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) x) x #s(literal 1 binary64)) (.f64 (.f64 s c) (.f64 s c)))) (.f64 x x)))
#s(approx (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) #s(hole binary64 (/ 1 (* (pow c 2) (* s (pow x 2))))))
#s(approx (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 c c) x) x) s)))
#s(approx (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) s))) (/ 1 (* (pow c 2) s))) (pow x 2))))
#s(approx (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) x) x #s(literal 1 binary64)) s) (.f64 (.f64 (.f64 c c) x) x)))
#s(approx (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) s))) (* 2 (/ 1 (* (pow c 2) s))))) (/ 1 (* (pow c 2) s))) (pow x 2))))
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rewrite66.0ms (1%)

Memory

-31.7MiB live, 65.9MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	276
0	73	276
1	224	246
0	1159	246

Stop Event

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

Counts

24 → 443

Calls

Call 1

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

Outputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (.f64 s x) #s(literal 2 binary64))) (*.f64 c c)))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (.f64 s s)) (.f64 x x))
(/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c x)) c) x) (*.f64 s s))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 s s) x)) (.f64 c c)) x)
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 s s) x)) c) (.f64 c x))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 s s) x)) x) (.f64 c c))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (.f64 s x) #s(literal 2 binary64))) (*.f64 c c))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 s s)) (pow.f64 (*.f64 c x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (.f64 (.f64 s s) x))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c))) (neg.f64 c))
(/.f64 (neg.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 s s) x))) (.f64 (*.f64 c x) (neg.f64 c)))
(/.f64 (neg.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64)))) (neg.f64 (.f64 (.f64 (neg.f64 c) c) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (.f64 s x)) (.f64 s x))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) c) (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c)) c)
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (.f64 (.f64 s s) x)) x)
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 s s) x)) (.f64 (*.f64 c c) x))
(/.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (.f64 (.f64 c c) x)) (.f64 (.f64 (neg.f64 x) s) s))
(/.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (.f64 (.f64 c c) x)) (.f64 (neg.f64 x) (.f64 s s)))
(/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (.f64 (.f64 (neg.f64 c) c) (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(/.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) s)) (neg.f64 s))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (neg.f64 c) c)) (.f64 (neg.f64 x) (.f64 (*.f64 s s) x)))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (neg.f64 c) c)) (neg.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (.f64 c x) #s(literal 2 binary64))) s) (neg.f64 (neg.f64 s)))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (.f64 c x) #s(literal 2 binary64))) s) s)
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c x)) c) (neg.f64 (.f64 (neg.f64 x) (.f64 s s))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c x)) c) (.f64 (.f64 s s) x))
(neg.f64 (/.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (.f64 (.f64 c c) x)) (.f64 (.f64 s s) x)))
(neg.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (.f64 (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c)))
(neg.f64 (/.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) s)) s))
(neg.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c x)) c) (.f64 (neg.f64 x) (.f64 s s))))
(neg.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 (neg.f64 c) c) (pow.f64 (.f64 s x) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (.f64 c x) #s(literal 2 binary64))) s) (neg.f64 s)))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c)))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) s) (pow.f64 (.f64 c x) #s(literal 2 binary64)))
(/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c x)) c) x) s)
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (.f64 c x) #s(literal 2 binary64))) s)
(/.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (*.f64 s x))) (neg.f64 x))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (*.f64 s x)) x)
(/.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (.f64 (.f64 c c) x)) (*.f64 (neg.f64 x) s))
(/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (.f64 (.f64 (.f64 c x) (neg.f64 c)) (.f64 s x)))
(/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (neg.f64 (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) s)))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (neg.f64 c) c)) (.f64 (neg.f64 x) (.f64 s x)))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (.f64 x (.f64 s x)))
(/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c x)) c) (neg.f64 (*.f64 (neg.f64 x) s)))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c x)) c) (*.f64 s x))
(neg.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) s)))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) x) (.f64 c c))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c x)) c)
(/.f64 (neg.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64)))) (neg.f64 (.f64 (.f64 c x) (neg.f64 c))))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) c) (.f64 c x))
(/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (.f64 (.f64 c x) (neg.f64 c)))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (neg.f64 c) c)) (neg.f64 x))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) x)
(/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (*.f64 c c) x))
(neg.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (.f64 (.f64 c c) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) (.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)))
(/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (pow.f64 (.f64 c x) #s(literal 2 binary64))) (*.f64 s s))
(/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) (.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (/.f64 #s(literal -2 binary64) (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c))) (.f64 (.f64 x x) (/.f64 #s(literal -2 binary64) (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c)))) (.f64 (pow.f64 (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c) #s(literal -1 binary64)) (pow.f64 (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c) #s(literal -1 binary64)))) (-.f64 (.f64 (.f64 x x) (/.f64 #s(literal -2 binary64) (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c))) (pow.f64 (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) (/.f64 #s(literal -2 binary64) (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x x) (/.f64 #s(literal -2 binary64) (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c))) (.f64 (.f64 x x) (/.f64 #s(literal -2 binary64) (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c))) (-.f64 (.f64 (pow.f64 (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c) #s(literal -1 binary64)) (pow.f64 (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c) #s(literal -1 binary64))) (.f64 (.f64 (.f64 x x) (/.f64 #s(literal -2 binary64) (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c))) (pow.f64 (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) (pow.f64 (.f64 c x) #s(literal 2 binary64)))) (neg.f64 s))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))) (neg.f64 (.f64 (.f64 (neg.f64 c) c) (pow.f64 (.f64 s x) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c) (.f64 (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c) (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c)))
(/.f64 (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) (pow.f64 (.f64 c x) #s(literal 2 binary64))) s)
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)) (.f64 (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c)))
(/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c)))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (neg.f64 c) c) (pow.f64 (.f64 s x) #s(literal 2 binary64))))
(/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c)))
(neg.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 c) c) (pow.f64 (.f64 s x) #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 c x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 s s)) (.f64 (.f64 x x) (/.f64 #s(literal -2 binary64) (.f64 (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) s)) (/.f64 #s(literal 1 binary64) s) (.f64 (.f64 x x) (/.f64 #s(literal -2 binary64) (.f64 (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c))))
(fma.f64 (/.f64 #s(literal 1 binary64) s) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) s)) (.f64 (.f64 x x) (/.f64 #s(literal -2 binary64) (.f64 (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c))))
(fma.f64 (/.f64 (.f64 x x) (pow.f64 (.f64 c x) #s(literal 2 binary64))) (/.f64 #s(literal -2 binary64) (.f64 s s)) (pow.f64 (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c) #s(literal -1 binary64)))
(fma.f64 (/.f64 (.f64 #s(literal -2 binary64) x) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) s)) (/.f64 x s) (pow.f64 (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c) #s(literal -1 binary64)))
(fma.f64 (/.f64 (.f64 #s(literal -2 binary64) x) (pow.f64 (.f64 c x) #s(literal 2 binary64))) (/.f64 x (.f64 s s)) (pow.f64 (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c) #s(literal -1 binary64)))
(fma.f64 (/.f64 (.f64 #s(literal -2 binary64) x) s) (/.f64 x (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) s)) (pow.f64 (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c) #s(literal -1 binary64)))
(fma.f64 (/.f64 (.f64 x x) s) (/.f64 #s(literal -2 binary64) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) s)) (pow.f64 (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal -2 binary64) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) s)) (/.f64 (.f64 x x) s) (pow.f64 (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal -2 binary64) (pow.f64 (.f64 c x) #s(literal 2 binary64))) (/.f64 (.f64 x x) (.f64 s s)) (pow.f64 (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c) #s(literal -1 binary64)))
(fma.f64 (/.f64 (.f64 x x) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) s)) (/.f64 #s(literal -2 binary64) s) (pow.f64 (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal -2 binary64) s) (/.f64 (.f64 x x) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) s)) (pow.f64 (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c) #s(literal -1 binary64)) (.f64 (.f64 x x) (/.f64 #s(literal -2 binary64) (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c))))
(fma.f64 (.f64 x x) (/.f64 #s(literal -2 binary64) (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c)) (pow.f64 (.f64 (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c) #s(literal -1 binary64)))
(fma.f64 (.f64 #s(literal -2 binary64) x) (/.f64 x (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c)) (pow.f64 (.f64 (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c) #s(literal -1 binary64)))
(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 x x) (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c)) (pow.f64 (.f64 (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c) #s(literal -1 binary64)))
(+.f64 (pow.f64 (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c) #s(literal -1 binary64)) (.f64 (.f64 x x) (/.f64 #s(literal -2 binary64) (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c))))
(+.f64 (.f64 (.f64 x x) (/.f64 #s(literal -2 binary64) (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c))) (pow.f64 (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c) #s(literal -1 binary64)))
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eval35.0ms (0.6%)

Memory: 31.5MiB live, 74.9MiB allocated; 7ms collecting garbage
Compiler: Compiled 10 303 to 1 215 computations (88.2% saved)

prune40.0ms (0.6%)

Memory

-32.4MiB live, 60.0MiB allocated; 8ms collecting garbage

Pruning

33 alts after pruning (33 fresh and 0 done)

	Pruned	Kept	Total
New	314	32	346
Fresh	8	1	9
Picked	5	0	5
Done	0	0	0
Total	327	33	360

Accuracy

100.0%

Counts

360 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.4%	(/.f64 (/.f64 #s(approx (/ (cos (* -2 x)) (* c c)) (/.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) x) x #s(literal 1 binary64)) c) c)) x) (.f64 (*.f64 s s) x))
▶	77.0%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 (*.f64 s s) x) x) c) c))
	71.6%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 s s) x) (.f64 x (*.f64 c c))))
	88.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) s) s))
	81.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 s s) x) c) (.f64 c x)))
	81.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c c) x) s) (.f64 s x)))
	80.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c c) s) (.f64 s x)) x))
	70.6%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s s) (.f64 (.f64 x x) c)) c))
	80.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x (.f64 (.f64 s s) (.f64 c x))) c))
▶	91.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 s (.f64 (.f64 s x) (.f64 c x))) c))
▶	50.8%	(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (.f64 #s(literal -2 binary64) x) x #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 (.f64 s s) x) x) c) c))
	69.2%	(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (*.f64 s s) x) x) c) c))
	64.4%	(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 s s) x) (.f64 x (*.f64 c c))))
	39.9%	#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) x) (* (* s s) x)) (/.f64 (fma.f64 (.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 (.f64 s c) (.f64 s c))) (.f64 x x)) (.f64 x x) (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) x) x #s(literal 1 binary64)) (.f64 (.f64 s c) (.f64 s c)))) (.f64 x x)))
	71.3%	#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) x) (* (* s s) x)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 s x) s)) (.f64 (.f64 c c) x)))
	63.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c)))
	55.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 c x) c) x) s) s)))
	79.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c x)) c) x) (*.f64 s s)))
	80.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (*.f64 s x)) x) s))
	86.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) c) (.f64 c x)) (*.f64 s x)) s))
	77.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c x)) c) (.f64 (.f64 s s) x)))
	82.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (.f64 s x)) (.f64 s x)))
▶	86.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 c x) c)) (.f64 s x)) s))
	69.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 c c) x) x)) s) s))
	90.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c)) c))
	71.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 s s) x)) (.f64 (*.f64 c c) x)))
	71.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(approx (/ (/ (cos (* -2 x)) (* c c)) x) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c c)) x)) (.f64 s x)) s))
	35.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/.f64 (fma.f64 (.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 s (.f64 c c))) (.f64 x x)) (.f64 x x) (/.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) x) x #s(literal 1 binary64)) s) (.f64 c c))) (*.f64 x x))) s))
	77.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 (.f64 (*.f64 c c) x) x) s))) s))
	69.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 c c) x) x) s))) s))
	18.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) (.f64 (.f64 #s(literal -2 binary64) x) x)) (.f64 (.f64 (.f64 (.f64 (*.f64 c c) x) x) s) s)))
	69.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (*.f64 c c) x) x) s) s)))
▶	29.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 (/.f64 #s(literal -2 binary64) (.f64 s s)) (.f64 c c))))

Compiler

Compiled 2 010 to 1 334 computations (33.6% saved)

simplify136.0ms (2.1%)

Memory

36.4MiB live, 139.4MiB allocated; 16ms collecting garbage

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	397
0	84	395
1	191	395
2	611	395
3	3106	395
4	7431	395
0	8221	395

Stop Event

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

Calls

Call 1

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

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

localize175.0ms (2.7%)

Memory

-29.1MiB live, 253.6MiB allocated; 33ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.12109375	(.f64 (.f64 c x) c)
accuracy	0.166347509768442	(/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (*.f64 c x) c))
accuracy	4.047737772270786	(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 c x) c)) (.f64 s x)) s)
accuracy	5.510391516743512	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 c x) c)) (.f64 s x))
accuracy	2.9671722203477646	(.f64 (.f64 (.f64 (.f64 s s) x) x) c)
accuracy	3.1528983635470595	(.f64 (.f64 (.f64 (.f64 (*.f64 s s) x) x) c) c)
accuracy	4.342702005359646	(.f64 (.f64 (*.f64 s s) x) x)
accuracy	7.071497773464722	(.f64 (.f64 s s) x)
accuracy	3.1528983635470595	(.f64 (.f64 (.f64 (.f64 (*.f64 s s) x) x) c) c)
accuracy	4.342702005359646	(.f64 (.f64 (*.f64 s s) x) x)
accuracy	7.071497773464722	(.f64 (.f64 s s) x)
accuracy	28.30854118875147	#s(approx (cos (* -2 x)) (fma.f64 (*.f64 #s(literal -2 binary64) x) x #s(literal 1 binary64)))
accuracy	0.6077650960959547	(/.f64 #s(literal -2 binary64) (*.f64 s s))
accuracy	13.48196551974375	(/.f64 (/.f64 #s(literal -2 binary64) (.f64 s s)) (.f64 c c))
accuracy	17.211266474758705	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 (/.f64 #s(literal -2 binary64) (.f64 s s)) (.f64 c c))))
accuracy	29.721679488250512	#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 (/.f64 #s(literal -2 binary64) (.f64 s s)) (.f64 c c)))
accuracy	0.31452957909589263	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 s (.f64 (.f64 s x) (.f64 c x))) c))
accuracy	1.4407137429248917	(.f64 (.f64 s x) (*.f64 c x))
accuracy	3.1528983635470595	(.f64 (.f64 s (.f64 (.f64 s x) (*.f64 c x))) c)
accuracy	4.460282679753163	(.f64 s (.f64 (.f64 s x) (.f64 c x)))

Samples

103.0ms

256×

valid

Compiler

Compiled 329 to 50 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-mult: 41.0ms (52.1% of total)

ival-div: 14.0ms (17.8% of total)

ival-cos: 14.0ms (17.8% of total)

ival-pow2: 5.0ms (6.4% of total)

ival-add: 3.0ms (3.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series58.0ms (0.9%)

Memory

2.1MiB live, 54.4MiB allocated; 7ms collecting garbage

Counts

26 → 74

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
15.0ms	s	@	0	((/ (cos (* 2 x)) (* (* s (* (* s x) (* c x))) c)) (cos (* 2 x)) (* 2 x) (* (* s (* (* s x) (* c x))) c) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/ (/ -2 (* s s)) (* c c)) (/ -2 (* s s)) (/ (cos (* -2 x)) (* (* (* (* (* s s) x) x) c) c)) (cos (* -2 x)) (+ (* (* -2 x) x) 1) (* -2 x) (/ (cos (+ x x)) (* (* (* (* (* s s) x) x) c) c)) (cos (+ x x)) (+ x x) (* (* (* (* (* s s) x) x) c) c) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ (cos (* -2 x)) (* (* c x) c)) (* s x)) s) (/ (/ (cos (* -2 x)) (* (* c x) c)) (* s x)) (/ (cos (* -2 x)) (* (* c x) c)) (* s (* (* s x) (* c x))) (* (* s x) (* c x)) (* (* s s) x) (* (* (* s s) x) x) (* (* (* (* s s) x) x) c) (* (* c x) c))
6.0ms	x	@	-inf	((/ (cos (* 2 x)) (* (* s (* (* s x) (* c x))) c)) (cos (* 2 x)) (* 2 x) (* (* s (* (* s x) (* c x))) c) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/ (/ -2 (* s s)) (* c c)) (/ -2 (* s s)) (/ (cos (* -2 x)) (* (* (* (* (* s s) x) x) c) c)) (cos (* -2 x)) (+ (* (* -2 x) x) 1) (* -2 x) (/ (cos (+ x x)) (* (* (* (* (* s s) x) x) c) c)) (cos (+ x x)) (+ x x) (* (* (* (* (* s s) x) x) c) c) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ (cos (* -2 x)) (* (* c x) c)) (* s x)) s) (/ (/ (cos (* -2 x)) (* (* c x) c)) (* s x)) (/ (cos (* -2 x)) (* (* c x) c)) (* s (* (* s x) (* c x))) (* (* s x) (* c x)) (* (* s s) x) (* (* (* s s) x) x) (* (* (* (* s s) x) x) c) (* (* c x) c))
5.0ms	s	@	inf	((/ (cos (* 2 x)) (* (* s (* (* s x) (* c x))) c)) (cos (* 2 x)) (* 2 x) (* (* s (* (* s x) (* c x))) c) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/ (/ -2 (* s s)) (* c c)) (/ -2 (* s s)) (/ (cos (* -2 x)) (* (* (* (* (* s s) x) x) c) c)) (cos (* -2 x)) (+ (* (* -2 x) x) 1) (* -2 x) (/ (cos (+ x x)) (* (* (* (* (* s s) x) x) c) c)) (cos (+ x x)) (+ x x) (* (* (* (* (* s s) x) x) c) c) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ (cos (* -2 x)) (* (* c x) c)) (* s x)) s) (/ (/ (cos (* -2 x)) (* (* c x) c)) (* s x)) (/ (cos (* -2 x)) (* (* c x) c)) (* s (* (* s x) (* c x))) (* (* s x) (* c x)) (* (* s s) x) (* (* (* s s) x) x) (* (* (* (* s s) x) x) c) (* (* c x) c))
5.0ms	x	@	inf	((/ (cos (* 2 x)) (* (* s (* (* s x) (* c x))) c)) (cos (* 2 x)) (* 2 x) (* (* s (* (* s x) (* c x))) c) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/ (/ -2 (* s s)) (* c c)) (/ -2 (* s s)) (/ (cos (* -2 x)) (* (* (* (* (* s s) x) x) c) c)) (cos (* -2 x)) (+ (* (* -2 x) x) 1) (* -2 x) (/ (cos (+ x x)) (* (* (* (* (* s s) x) x) c) c)) (cos (+ x x)) (+ x x) (* (* (* (* (* s s) x) x) c) c) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ (cos (* -2 x)) (* (* c x) c)) (* s x)) s) (/ (/ (cos (* -2 x)) (* (* c x) c)) (* s x)) (/ (cos (* -2 x)) (* (* c x) c)) (* s (* (* s x) (* c x))) (* (* s x) (* c x)) (* (* s s) x) (* (* (* s s) x) x) (* (* (* (* s s) x) x) c) (* (* c x) c))
5.0ms	s	@	-inf	((/ (cos (* 2 x)) (* (* s (* (* s x) (* c x))) c)) (cos (* 2 x)) (* 2 x) (* (* s (* (* s x) (* c x))) c) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/ (/ -2 (* s s)) (* c c)) (/ -2 (* s s)) (/ (cos (* -2 x)) (* (* (* (* (* s s) x) x) c) c)) (cos (* -2 x)) (+ (* (* -2 x) x) 1) (* -2 x) (/ (cos (+ x x)) (* (* (* (* (* s s) x) x) c) c)) (cos (+ x x)) (+ x x) (* (* (* (* (* s s) x) x) c) c) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ (cos (* -2 x)) (* (* c x) c)) (* s x)) s) (/ (/ (cos (* -2 x)) (* (* c x) c)) (* s x)) (/ (cos (* -2 x)) (* (* c x) c)) (* s (* (* s x) (* c x))) (* (* s x) (* c x)) (* (* s s) x) (* (* (* s s) x) x) (* (* (* (* s s) x) x) c) (* (* c x) c))

simplify138.0ms (2.2%)

Memory

25.3MiB live, 151.6MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	221	2238
1	530	2114
2	2227	2030
0	8331	1957

Stop Event

1×	iter limit
1×	node limit

Counts

74 → 74

Calls

Call 1

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

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

rewrite47.0ms (0.7%)

Memory

-28.2MiB live, 33.0MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	315
0	84	313
0	267	313

Stop Event

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

Counts

26 → 96

Calls

Call 1

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

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

eval11.0ms (0.2%)

Memory: 17.8MiB live, 17.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 579 to 459 computations (87.2% saved)

prune25.0ms (0.4%)

Memory

-7.5MiB live, 39.0MiB allocated; 3ms collecting garbage

Pruning

38 alts after pruning (35 fresh and 3 done)

	Pruned	Kept	Total
New	107	12	119
Fresh	5	23	28
Picked	2	3	5
Done	0	0	0
Total	114	38	152

Accuracy

100.0%

Counts

152 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.0%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 (.f64 (*.f64 s s) x) x) c)) c)
	49.4%	(/.f64 (/.f64 #s(approx (/ (cos (* -2 x)) (* c c)) (/.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) x) x #s(literal 1 binary64)) c) c)) x) (.f64 (*.f64 s s) x))
	91.2%	(/.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))) (.f64 (.f64 s (.f64 (.f64 s x) (*.f64 c x))) c))
✓	77.0%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 (*.f64 s s) x) x) c) c))
	71.6%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 s s) x) (.f64 x (*.f64 c c))))
	91.2%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 s (.f64 (.f64 s x) (*.f64 c x))) c))
	88.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) s) s))
▶	92.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 (.f64 s x) c) x) s) c))
	81.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 s s) x) c) (.f64 c x)))
	81.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c c) x) s) (.f64 s x)))
	70.6%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s s) (.f64 (.f64 x x) c)) c))
	80.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x (.f64 (.f64 s s) (.f64 c x))) c))
	90.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 s (.f64 (.f64 (.f64 (.f64 s x) c) x) c)))
	59.4%	(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (.f64 #s(literal -2 binary64) x) x #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 s (.f64 s x)) x) c) c))
	69.2%	(/.f64 #s(approx (cos (* -2 x)) #s(approx (+ (* (* -2 x) x) 1) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 (*.f64 s s) x) x) c) c))
	64.4%	(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 s s) x) (.f64 x (*.f64 c c))))
	79.9%	(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (.f64 (.f64 s (.f64 (.f64 s x) (*.f64 c x))) c))
	39.9%	#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) x) (* (* s s) x)) (/.f64 (fma.f64 (.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 (.f64 s c) (.f64 s c))) (.f64 x x)) (.f64 x x) (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) x) x #s(literal 1 binary64)) (.f64 (.f64 s c) (.f64 s c)))) (.f64 x x)))
	71.3%	#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) x) (* (* s s) x)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 s x) s)) (.f64 (.f64 c c) x)))
▶	63.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c)))
	55.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 c x) c) x) s) s)))
	79.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c x)) c) x) (*.f64 s s)))
	80.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (*.f64 s x)) x) s))
	86.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) c) (.f64 c x)) (*.f64 s x)) s))
	82.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c c)) (.f64 s x)) (.f64 s x)))
✓	86.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 c x) c)) (.f64 s x)) s))
	90.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c)) c))
	71.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 s s) x)) (.f64 (*.f64 c c) x)))
	71.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(approx (/ (/ (cos (* -2 x)) (* c c)) x) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c c)) x)) (.f64 s x)) s))
▶	77.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 (.f64 (*.f64 c c) x) x) s))) s))
▶	69.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 c c) x) x) s))) s))
	18.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) (.f64 (.f64 #s(literal -2 binary64) x) x)) (.f64 (.f64 (.f64 (.f64 (*.f64 c c) x) x) s) s)))
	69.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (*.f64 c c) x) x) s) s)))
	33.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) c) c)))
	72.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 (/.f64 #s(literal 1 binary64) s) (.f64 (.f64 (.f64 (.f64 c c) s) x) x))))
✓	29.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 (/.f64 #s(literal -2 binary64) (.f64 s s)) (.f64 c c))))
	26.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 (/.f64 #s(literal -2 binary64) s) (.f64 (.f64 c c) s))))
▶	29.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 s s) (*.f64 c c)))))

Compiler

Compiled 2 187 to 1 463 computations (33.1% saved)

simplify104.0ms (1.6%)

Memory

0.3MiB live, 146.3MiB allocated; 27ms collecting garbage

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	62	545
0	91	547
1	196	525
2	689	525
3	2985	525
0	8066	525

Stop Event

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

Calls

Call 1

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

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

localize177.0ms (2.8%)

Memory

-8.1MiB live, 181.2MiB allocated; 20ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.8809936083435752	(.f64 (.f64 (*.f64 c c) x) x)
accuracy	3.174999641127914	(.f64 (.f64 (.f64 (.f64 c c) x) x) s)
accuracy	4.047737772270786	(/.f64 #s(approx (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 (.f64 (*.f64 c c) x) x) s))) s)
accuracy	8.157987482235601	(.f64 (.f64 c c) x)
accuracy	2.9671722203477646	(.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c)
accuracy	3.1528983635470595	(.f64 (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c)
accuracy	14.219393805263348	(/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c))
accuracy	17.211266474758705	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c)))
accuracy	3.174999641127914	(.f64 (.f64 (.f64 (.f64 c c) x) x) s)
accuracy	4.047737772270786	(/.f64 #s(approx (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 c c) x) x) s))) s)
accuracy	8.157987482235601	(.f64 (.f64 c c) x)
accuracy	12.542710240497804	#s(approx (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 c c) x) x) s)))
accuracy	0.13973681197836046	(/.f64 #s(literal -2 binary64) (.f64 (.f64 s s) (*.f64 c c)))
accuracy	13.41473656936092	(.f64 (.f64 s s) (*.f64 c c))
accuracy	17.211266474758705	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 s s) (*.f64 c c)))))
accuracy	29.721679488250512	#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 s s) (*.f64 c c))))
accuracy	0.6024072385522817	(.f64 (.f64 (*.f64 s x) c) x)
accuracy	3.1528983635470595	(.f64 (.f64 (.f64 (.f64 (*.f64 s x) c) x) s) c)
accuracy	4.460282679753163	(.f64 (.f64 (.f64 (.f64 s x) c) x) s)
accuracy	5.291082314482997	(.f64 (.f64 s x) c)

Samples

110.0ms

256×

valid

Compiler

Compiled 377 to 47 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-mult: 31.0ms (35.3% of total)

ival-cos: 29.0ms (33% of total)

ival-div: 14.0ms (15.9% of total)

ival-pow2: 7.0ms (8% of total)

ival-add: 6.0ms (6.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series67.0ms (1.1%)

Memory

30.1MiB live, 116.8MiB allocated; 12ms collecting garbage

Counts

28 → 58

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
16.0ms	s	@	inf	((* (* (* (* s x) c) x) s) (/ (cos (* 2 x)) (* (* (* (* (* s x) c) x) s) c)) (cos (* 2 x)) (* 2 x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/ -2 (* (* s s) (* c c))) (* (* s s) (* c c)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) s) (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/ 1 (* (* (* (* c c) x) x) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* (* x x) -2) 1) (* (* (pow (* s x) 2) c) c)) (+ (* (* x x) -2) 1) (* x x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) s) (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/ (cos (* -2 x)) (* (* (* (* c c) x) x) s)) (* (* s x) c) (* (* (* (* (* s x) c) x) s) c) (* (* (* s x) c) x) (* (* c c) x) (* (* (* (* c c) x) x) s) (* (* (pow (* s x) 2) c) c) (* (pow (* s x) 2) c) (* (* (* c c) x) x))
11.0ms	c	@	inf	((* (* (* (* s x) c) x) s) (/ (cos (* 2 x)) (* (* (* (* (* s x) c) x) s) c)) (cos (* 2 x)) (* 2 x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/ -2 (* (* s s) (* c c))) (* (* s s) (* c c)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) s) (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/ 1 (* (* (* (* c c) x) x) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* (* x x) -2) 1) (* (* (pow (* s x) 2) c) c)) (+ (* (* x x) -2) 1) (* x x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) s) (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/ (cos (* -2 x)) (* (* (* (* c c) x) x) s)) (* (* s x) c) (* (* (* (* (* s x) c) x) s) c) (* (* (* s x) c) x) (* (* c c) x) (* (* (* (* c c) x) x) s) (* (* (pow (* s x) 2) c) c) (* (pow (* s x) 2) c) (* (* (* c c) x) x))
7.0ms	s	@	-inf	((* (* (* (* s x) c) x) s) (/ (cos (* 2 x)) (* (* (* (* (* s x) c) x) s) c)) (cos (* 2 x)) (* 2 x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/ -2 (* (* s s) (* c c))) (* (* s s) (* c c)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) s) (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/ 1 (* (* (* (* c c) x) x) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* (* x x) -2) 1) (* (* (pow (* s x) 2) c) c)) (+ (* (* x x) -2) 1) (* x x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) s) (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/ (cos (* -2 x)) (* (* (* (* c c) x) x) s)) (* (* s x) c) (* (* (* (* (* s x) c) x) s) c) (* (* (* s x) c) x) (* (* c c) x) (* (* (* (* c c) x) x) s) (* (* (pow (* s x) 2) c) c) (* (pow (* s x) 2) c) (* (* (* c c) x) x))
6.0ms	c	@	-inf	((* (* (* (* s x) c) x) s) (/ (cos (* 2 x)) (* (* (* (* (* s x) c) x) s) c)) (cos (* 2 x)) (* 2 x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/ -2 (* (* s s) (* c c))) (* (* s s) (* c c)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) s) (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/ 1 (* (* (* (* c c) x) x) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* (* x x) -2) 1) (* (* (pow (* s x) 2) c) c)) (+ (* (* x x) -2) 1) (* x x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) s) (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/ (cos (* -2 x)) (* (* (* (* c c) x) x) s)) (* (* s x) c) (* (* (* (* (* s x) c) x) s) c) (* (* (* s x) c) x) (* (* c c) x) (* (* (* (* c c) x) x) s) (* (* (pow (* s x) 2) c) c) (* (pow (* s x) 2) c) (* (* (* c c) x) x))
5.0ms	c	@	0	((* (* (* (* s x) c) x) s) (/ (cos (* 2 x)) (* (* (* (* (* s x) c) x) s) c)) (cos (* 2 x)) (* 2 x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/ -2 (* (* s s) (* c c))) (* (* s s) (* c c)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) s) (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/ 1 (* (* (* (* c c) x) x) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* (* x x) -2) 1) (* (* (pow (* s x) 2) c) c)) (+ (* (* x x) -2) 1) (* x x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) s) (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/ (cos (* -2 x)) (* (* (* (* c c) x) x) s)) (* (* s x) c) (* (* (* (* (* s x) c) x) s) c) (* (* (* s x) c) x) (* (* c c) x) (* (* (* (* c c) x) x) s) (* (* (pow (* s x) 2) c) c) (* (pow (* s x) 2) c) (* (* (* c c) x) x))

simplify128.0ms (2%)

Memory

-25.3MiB live, 117.8MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	178	1878
1	429	1658
2	2103	1590
0	8179	1533

Stop Event

1×	iter limit
1×	node limit

Counts

58 → 58

Calls

Call 1

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

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

rewrite95.0ms (1.5%)

Memory

37.1MiB live, 83.0MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	62	473
0	91	475
1	278	391
0	1481	391

Stop Event

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

Counts

28 → 390

Calls

Call 1

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

Outputs
(.f64 (.f64 (.f64 c (.f64 x s)) s) x)
(.f64 (.f64 s (.f64 c (.f64 x s))) x)
(.f64 (.f64 (.f64 s s) c) (.f64 x x))
(.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) c)
(.f64 (.f64 s s) (.f64 (.f64 x x) c))
(.f64 (.f64 (.f64 x s) s) (.f64 c x))
(.f64 (.f64 (.f64 c (.f64 x s)) x) s)
(.f64 (.f64 c (.f64 x s)) (.f64 x s))
(.f64 c (pow.f64 (.f64 x s) #s(literal 2 binary64)))
(.f64 (.f64 x s) (.f64 c (.f64 x s)))
(.f64 x (.f64 (.f64 c (.f64 x s)) s))
(.f64 s (.f64 (.f64 c (.f64 x s)) x))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c c)) (.f64 (.f64 x s) s)) x)
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) x)
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (pow.f64 (.f64 x s) #s(literal 2 binary64))) (*.f64 c c))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 c (.f64 x s)) x)) (*.f64 c s))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) c) (.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c))
(/.f64 (neg.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c c))) (neg.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64))))
(/.f64 (neg.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c))) (neg.f64 c))
(/.f64 (neg.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)))) (neg.f64 (neg.f64 (pow.f64 (.f64 c (.f64 x s)) #s(literal 2 binary64)))))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c)) c)
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c c)) (pow.f64 (*.f64 x s) #s(literal 2 binary64)))
(/.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64))) (neg.f64 (pow.f64 (.f64 c (.f64 x s)) #s(literal 2 binary64))))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 c c) x)) (.f64 (*.f64 x s) s))
(/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (pow.f64 (.f64 c (*.f64 x s)) #s(literal 2 binary64)))
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(.f64 (.f64 (.f64 x s) (fabs.f64 c)) (.f64 (*.f64 x s) (fabs.f64 c)))
(.f64 (.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x) x)
(.f64 (.f64 c s) (.f64 (.f64 c (*.f64 x s)) x))
(.f64 (.f64 (neg.f64 s) (pow.f64 (*.f64 c x) #s(literal 2 binary64))) (neg.f64 s))
(.f64 (neg.f64 c) (.f64 (neg.f64 c) (pow.f64 (*.f64 x s) #s(literal 2 binary64))))
(.f64 (fabs.f64 c) (.f64 (fabs.f64 c) (pow.f64 (*.f64 x s) #s(literal 2 binary64))))
(.f64 (.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c) c)
(.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) (*.f64 c c))
(.f64 (.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s) s)
(.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) (*.f64 s s))
(.f64 (.f64 (.f64 c c) x) (.f64 (*.f64 x s) s))
(.f64 (.f64 c c) (pow.f64 (*.f64 x s) #s(literal 2 binary64)))
(.f64 (.f64 s s) (pow.f64 (*.f64 c x) #s(literal 2 binary64)))
(.f64 (.f64 (.f64 x s) s) (.f64 (*.f64 c c) x))
(.f64 (.f64 (.f64 c (.f64 x s)) x) (*.f64 c s))
(.f64 (.f64 c (.f64 x s)) (.f64 c (*.f64 x s)))
(.f64 c (.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c))
(.f64 (.f64 x s) (.f64 (.f64 x s) (*.f64 c c)))
(.f64 (.f64 x s) (.f64 (.f64 c x) (*.f64 c s)))
(.f64 x (.f64 (.f64 c (.f64 x s)) (*.f64 c s)))
(.f64 x (.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
(.f64 s (.f64 (.f64 (.f64 c (*.f64 x s)) x) c))
(.f64 s (.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s))
(pow.f64 (.f64 c (.f64 x s)) #s(literal 2 binary64))
(exp.f64 (fma.f64 (log.f64 (.f64 x s)) #s(literal 2 binary64) (.f64 (log.f64 c) #s(literal 2 binary64))))
(.f64 (.f64 (.f64 c (.f64 x s)) s) x)
(.f64 (.f64 s (.f64 c (.f64 x s))) x)
(.f64 (.f64 (.f64 s s) c) (.f64 x x))
(.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) c)
(.f64 (.f64 s s) (.f64 (.f64 x x) c))
(.f64 (.f64 (.f64 x s) s) (.f64 c x))
(.f64 (.f64 (.f64 c (.f64 x s)) x) s)
(.f64 (.f64 c (.f64 x s)) (.f64 x s))
(.f64 c (pow.f64 (.f64 x s) #s(literal 2 binary64)))
(.f64 (.f64 x s) (.f64 c (.f64 x s)))
(.f64 x (.f64 (.f64 c (.f64 x s)) s))
(.f64 s (.f64 (.f64 c (.f64 x s)) x))
(.f64 (.f64 (*.f64 c c) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (neg.f64 c) (neg.f64 x)) (*.f64 (neg.f64 c) (neg.f64 x)))
(.f64 (.f64 (neg.f64 c) (fabs.f64 x)) (*.f64 (neg.f64 c) (fabs.f64 x)))
(.f64 (.f64 (neg.f64 c) x) (*.f64 (neg.f64 c) x))
(.f64 (.f64 (fabs.f64 c) (neg.f64 x)) (*.f64 (fabs.f64 c) (neg.f64 x)))
(.f64 (.f64 (fabs.f64 c) (fabs.f64 x)) (*.f64 (fabs.f64 c) (fabs.f64 x)))
(.f64 (.f64 (fabs.f64 c) x) (*.f64 (fabs.f64 c) x))
(.f64 (.f64 c (neg.f64 x)) (*.f64 c (neg.f64 x)))
(.f64 (.f64 c (fabs.f64 x)) (*.f64 c (fabs.f64 x)))
(.f64 (.f64 c x) (*.f64 c x))
(.f64 (.f64 (neg.f64 x) (*.f64 c c)) (neg.f64 x))
(.f64 (neg.f64 c) (.f64 (neg.f64 c) (*.f64 x x)))
(.f64 (fabs.f64 c) (.f64 (fabs.f64 c) (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 c c))
(.f64 (.f64 (*.f64 c c) x) x)
(.f64 (.f64 c c) (*.f64 x x))
(.f64 c (.f64 (*.f64 c x) x))
(.f64 c (.f64 c (*.f64 x x)))
(.f64 x (.f64 (*.f64 c c) x))
(pow.f64 (*.f64 c x) #s(literal 2 binary64))

eval55.0ms (0.9%)

Memory: -35.5MiB live, 106.0MiB allocated; 28ms collecting garbage
Compiler: Compiled 16 068 to 1 712 computations (89.3% saved)

prune63.0ms (1%)

Memory

4.1MiB live, 98.3MiB allocated; 3ms collecting garbage

Pruning

46 alts after pruning (44 fresh and 2 done)

	Pruned	Kept	Total
New	397	27	424
Fresh	13	17	30
Picked	4	1	5
Done	2	1	3
Total	416	46	462

Accuracy

100.0%

Counts

462 → 46

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.0%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 (.f64 (*.f64 s s) x) x) c)) c)
	49.4%	(/.f64 (/.f64 #s(approx (/ (cos (* -2 x)) (* c c)) (/.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) x) x #s(literal 1 binary64)) c) c)) x) (.f64 (*.f64 s s) x))
	92.3%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 (*.f64 s x) c) x) s) c))
✓	77.0%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 (*.f64 s s) x) x) c) c))
	71.6%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 s s) x) (.f64 x (*.f64 c c))))
	91.2%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 s (.f64 (.f64 s x) (*.f64 c x))) c))
	70.6%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s s) (.f64 (.f64 x x) c)) c))
	97.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c (.f64 x s)) (.f64 c (.f64 x s))))
	92.8%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c (.f64 c (.f64 x s))) (.f64 x s)))
	92.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x (.f64 (.f64 c (.f64 x s)) (.f64 c s))))
	90.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 s (.f64 (.f64 (.f64 (.f64 s x) c) x) c)))
	62.3%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 (.f64 s x) c) x) s) c))
	81.0%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (*.f64 s x) c) x) s) c))
	59.4%	(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (.f64 #s(literal -2 binary64) x) x #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 s (.f64 s x)) x) c) c))
	69.2%	(/.f64 #s(approx (cos (* -2 x)) #s(approx (+ (* (* -2 x) x) 1) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 (*.f64 s s) x) x) c) c))
	64.4%	(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 s s) x) (.f64 x (*.f64 c c))))
	79.9%	(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (.f64 (.f64 s (.f64 (.f64 s x) (*.f64 c x))) c))
	38.0%	#s(approx (/ (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) s) (/.f64 (fma.f64 (.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 (.f64 (.f64 c s) s) c)) (.f64 x x)) (.f64 x x) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) (.f64 (.f64 c c) s))) (*.f64 x x)))
	39.9%	#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) x) (* (* s s) x)) (/.f64 (fma.f64 (.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 (.f64 s c) (.f64 s c))) (.f64 x x)) (.f64 x x) (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) x) x #s(literal 1 binary64)) (.f64 (.f64 s c) (.f64 s c)))) (.f64 x x)))
	71.3%	#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) x) (* (* s s) x)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 s x) s)) (.f64 (.f64 c c) x)))
	65.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (pow.f64 (.f64 c (*.f64 x s)) #s(literal 2 binary64))))
	79.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c x)) c) x) (*.f64 s s)))
	71.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 s s) x)) (.f64 (*.f64 c c) x)))
	71.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(approx (/ (/ (cos (* -2 x)) (* c c)) x) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c c)) x)) (.f64 s x)) s))
	71.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c c) x)) (*.f64 x s))) s))
	74.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/.f64 (/.f64 #s(literal 1 binary64) s) (pow.f64 (*.f64 c x) #s(literal 2 binary64)))) s))
	87.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 (.f64 (*.f64 c x) c) x) s))) s))
	74.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 (.f64 c s) c) (*.f64 x x)))) s))
	84.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 c (.f64 (*.f64 c x) x)) s))) s))
	71.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 c c) x) s) x))) s))
	74.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c x) (.f64 c x)) s))) s))
	71.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 (.f64 c x) x)) s))) s))
	72.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 c c) (.f64 x s))))) s))
	78.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 (.f64 c (.f64 x s)) x)))) s))
	82.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* (* x x) -2) 1) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c)))
	69.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (*.f64 c c) x) x) s) s)))
	33.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 (/.f64 #s(literal -2 binary64) (.f64 (.f64 s s) c)) c)))
	26.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 (/.f64 #s(literal -2 binary64) (.f64 c s)) (.f64 c s))))
	28.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 (/.f64 #s(literal -2 binary64) (.f64 c c)) (.f64 s s))))
	26.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 (/.f64 #s(literal -2 binary64) s) (.f64 (.f64 c c) s))))
	33.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 (*.f64 s s) c) c))))
	29.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 (*.f64 c s) s) c))))
	26.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 (*.f64 c s) c) s))))
	26.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 (*.f64 c c) (neg.f64 s)) (neg.f64 s)))))
✓	29.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 s s) (*.f64 c c)))))
	26.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 c s) (*.f64 c s)))))

Compiler

Compiled 4 317 to 1 451 computations (66.4% saved)

regimes142.0ms (2.2%)

Memory

28.3MiB live, 224.6MiB allocated; 31ms collecting garbage

Counts

86 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

36.0ms	c
23.0ms	x
22.0ms	(pow.f64 s #s(literal 2 binary64))
21.0ms	(pow.f64 c #s(literal 2 binary64))
20.0ms	s

Results

Accuracy	Segments	Branch
97.1%	1	`(pow.f64 s #s(literal 2 binary64))`
97.1%	1	`(pow.f64 c #s(literal 2 binary64))`
97.1%	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)))`
99.4%	2	`x`
97.1%	1	`c`
97.1%	1	`s`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes25.0ms (0.4%)

Memory

-9.8MiB live, 44.6MiB allocated; 5ms collecting garbage

Counts

80 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

22.0ms

Results

Accuracy	Segments	Branch
99.0%	2	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes51.0ms (0.8%)

Memory

-8.2MiB live, 84.8MiB allocated; 4ms collecting garbage

Counts

66 → 1

Calls

Call 1

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

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

Calls

3 calls:

17.0ms	x
16.0ms	c
15.0ms	(pow.f64 c #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
97.1%	1	`(pow.f64 c #s(literal 2 binary64))`
97.1%	1	`c`
97.1%	1	`x`

Compiler

Compiled 5 to 11 computations (-120% saved)

regimes82.0ms (1.3%)

Memory

-0.9MiB live, 139.7MiB allocated; 14ms collecting garbage

Counts

51 → 2

Calls

Call 1

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

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

Calls

6 calls:

16.0ms	x
15.0ms	(pow.f64 s #s(literal 2 binary64))
15.0ms	c
13.0ms	s
11.0ms	(pow.f64 c #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
94.7%	2	`(pow.f64 s #s(literal 2 binary64))`
95.8%	2	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
96.0%	2	`x`
94.7%	2	`s`
95.4%	2	`(pow.f64 c #s(literal 2 binary64))`
96.1%	2	`c`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes29.0ms (0.4%)

Memory

5.7MiB live, 52.0MiB allocated; 2ms collecting garbage

Counts

50 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

14.0ms	x
12.0ms	c

Results

Accuracy	Segments	Branch
96.0%	2	`x`
94.5%	2	`c`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes36.0ms (0.6%)

Memory

13.7MiB live, 57.4MiB allocated; 4ms collecting garbage

Counts

48 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

12.0ms	x
12.0ms	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
10.0ms	(pow.f64 c #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
92.3%	1	`(pow.f64 c #s(literal 2 binary64))`
92.3%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
95.0%	2	`x`

Compiler

Compiled 20 to 20 computations (0% saved)

regimes79.0ms (1.2%)

Memory

0.5MiB live, 104.2MiB allocated; 6ms collecting garbage

Counts

43 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

25.0ms	c
14.0ms	x
11.0ms	s
10.0ms	(pow.f64 s #s(literal 2 binary64))
9.0ms	(pow.f64 c #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
82.3%	1	`(pow.f64 c #s(literal 2 binary64))`
85.2%	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)))`
82.3%	1	`c`
82.3%	1	`(pow.f64 s #s(literal 2 binary64))`
82.3%	1	`s`
82.3%	1	`x`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes101.0ms (1.6%)

Memory

-41.4MiB live, 108.0MiB allocated; 47ms collecting garbage

Counts

39 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

32.0ms	s
12.0ms	x
10.0ms	c
9.0ms	(pow.f64 s #s(literal 2 binary64))
8.0ms	(pow.f64 c #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
81.0%	1	`(pow.f64 c #s(literal 2 binary64))`
81.0%	1	`c`
81.0%	1	`x`
81.0%	1	`(pow.f64 s #s(literal 2 binary64))`
81.0%	1	`s`
83.8%	2	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes8.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated; 0ms collecting garbage

Counts

29 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

6.0ms

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

Results

Accuracy	Segments	Branch
83.8%	2	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes5.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated; 0ms collecting garbage

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
82.8%	2	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes25.0ms (0.4%)

Memory

13.8MiB live, 57.6MiB allocated; 5ms collecting garbage

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

7.0ms	s
4.0ms	c
4.0ms	x
4.0ms	(pow.f64 s #s(literal 2 binary64))
3.0ms	(pow.f64 c #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
69.8%	1	`(pow.f64 c #s(literal 2 binary64))`
69.8%	1	`c`
71.4%	2	`x`
69.8%	1	`(pow.f64 s #s(literal 2 binary64))`
69.8%	1	`s`
72.7%	2	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes21.0ms (0.3%)

Memory

2.9MiB live, 50.2MiB allocated; 1ms collecting garbage

Counts

11 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
33.0%	1	`c`
33.0%	1	`(pow.f64 c #s(literal 2 binary64))`
33.0%	1	`s`
33.0%	1	`(pow.f64 s #s(literal 2 binary64))`
33.0%	1	`x`
33.0%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes12.0ms (0.2%)

Memory

-23.5MiB live, 22.4MiB allocated; 1ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
29.3%	1	`(pow.f64 s #s(literal 2 binary64))`
29.3%	1	`s`
29.3%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
29.3%	1	`x`
29.3%	1	`(pow.f64 c #s(literal 2 binary64))`
29.3%	1	`c`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes9.0ms (0.1%)

Memory

19.1MiB live, 19.1MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

6 calls:

2.0ms	x
2.0ms	s
1.0ms	c
1.0ms	(pow.f64 s #s(literal 2 binary64))
1.0ms	(pow.f64 c #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
29.0%	1	`(pow.f64 s #s(literal 2 binary64))`
29.0%	1	`x`
29.0%	1	`s`
29.0%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
29.0%	1	`(pow.f64 c #s(literal 2 binary64))`
29.0%	1	`c`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes6.0ms (0.1%)

Memory

16.8MiB live, 16.8MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

Outputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 c s) (*.f64 c 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
26.8%	1	`(pow.f64 s #s(literal 2 binary64))`
26.8%	1	`x`
26.8%	1	`s`
26.8%	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)))`
26.8%	1	`(pow.f64 c #s(literal 2 binary64))`
26.8%	1	`c`

Compiler

Compiled 25 to 31 computations (-24% saved)

bsearch45.0ms (0.7%)

Memory

-37.1MiB live, 16.0MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.2323345685567444e+89	1.9968521914123861e+90

Samples

13.0ms

112×

valid

Compiler

Compiled 229 to 179 computations (21.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-cos: 4.0ms (41.8% of total)

ival-mult: 3.0ms (31.3% of total)

ival-pow2: 2.0ms (20.9% of total)

ival-div: 1.0ms (10.4% 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)

bsearch28.0ms (0.4%)

Memory

-11.5MiB live, 33.3MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	3.7784613538972685e+126	7.2492412442804385e+140

Samples

17.0ms

160×

valid

Compiler

Compiled 659 to 448 computations (32% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-cos: 5.0ms (38.7% of total)

ival-mult: 4.0ms (31% of total)

ival-pow2: 3.0ms (23.2% of total)

ival-div: 1.0ms (7.7% 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)

bsearch3.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	1.7031200524378268e-190	3.239837129728097e-190

Samples

2.0ms

16×

valid

Compiler

Compiled 51 to 42 computations (17.6% saved)

Precisions

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

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)

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

exact: 0.0ms (0% of total)

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

ival-pow2: 0.0ms (0% of total)

bsearch20.0ms (0.3%)

Memory

39.0MiB live, 39.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	2.2501586887527017e-19	1.0814052285858417e-13

Samples

11.0ms

144×

valid

Compiler

Compiled 442 to 342 computations (22.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 3.0ms (38.2% of total)

ival-pow2: 2.0ms (25.5% of total)

ival-div: 1.0ms (12.7% of total)

ival-cos: 1.0ms (12.7% 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)

bsearch14.0ms (0.2%)

Memory

-30.7MiB live, 15.0MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.7859453438163538e-51	5.270365261467996e-51

Samples

9.0ms

80×

valid

Compiler

Compiled 254 to 193 computations (24% saved)

Precisions

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

ival-mult: 4.0ms (59.8% of total)

ival-cos: 1.0ms (15% of total)

ival-pow2: 1.0ms (15% of total)

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

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.5062271936877503e-127	0.0

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.5062271936877503e-127	0.0

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.5062271936877503e-127	0.0

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.5062271936877503e-127	0.0

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.5062271936877503e-127	0.0

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify48.0ms (0.8%)

Memory

18.9MiB live, 63.7MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	847
1	210	847
2	470	847
3	3757	847

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 480000000000000008789580775502323384448918134917952944281217074717121212962157344929611776 binary64)) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c (.f64 x s)) (.f64 c (.f64 x s)))) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) s) s)))
(if (<=.f64 x #s(literal 719999999999999991915238490295614027178714262205910509005440884620799319303985183620202967909019137523361542338378480932248736055511075520512 binary64)) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c (.f64 x s)) (.f64 c (.f64 x s)))) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 (.f64 (*.f64 c x) c) x) s))) s)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c (.f64 x s)) (.f64 c (.f64 x s))))
(if (<=.f64 c #s(literal 4013165208090495/20065826040452474621738395244141115820123061381619162977212070095324448220432589806036630768881181530864650607514107580997541169167266097500334986765487216377087492641938951866881041556870737904629872328704 binary64)) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 (.f64 s x) c) x) s) c)) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c (.f64 c (.f64 x s))) (*.f64 x s))))
(if (<=.f64 x #s(literal 237684487542793/79228162514264337593543950336 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (pow.f64 (.f64 c (.f64 x s)) #s(literal 2 binary64)))) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 s (.f64 (.f64 (.f64 (*.f64 s x) c) x) c))))
(if (<=.f64 x #s(literal 2948744166719601/842498333348457493583344221469363458551160763204392890034487820288 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (pow.f64 (.f64 c (.f64 x s)) #s(literal 2 binary64)))) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 s (.f64 (.f64 s x) (.f64 c 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 -2438866054934369/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696 binary64)) (/.f64 #s(approx (cos (* -2 x)) (fma.f64 (.f64 #s(literal -2 binary64) x) x #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 s (.f64 s x)) x) c) c)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* (* x x) -2) 1) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) 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 -2438866054934369/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696 binary64)) (/.f64 #s(approx (cos (* -2 x)) (fma.f64 (.f64 #s(literal -2 binary64) x) x #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 s (.f64 s x)) x) c) c)) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (*.f64 s x) c) x) s) c)))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -2438866054934369/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 c s) (.f64 c s))))) (/.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (*.f64 s x) c) x) s) c)))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -2438866054934369/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 c s) (.f64 c s))))) (/.f64 #s(approx (cos ( -2 x)) #s(literal 1 binary64)) (.f64 (.f64 s (.f64 (.f64 s x) (*.f64 c 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 -2438866054934369/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 c s) (.f64 c s))))) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (*.f64 c c) x) x) s) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 (*.f64 s s) c) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 (*.f64 c s) s) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 s s) (*.f64 c c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 c s) (*.f64 c s)))))

Outputs
(if (<=.f64 x #s(literal 480000000000000008789580775502323384448918134917952944281217074717121212962157344929611776 binary64)) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c (.f64 x s)) (.f64 c (.f64 x s)))) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) s) s)))
(if (<=.f64 x #s(literal 719999999999999991915238490295614027178714262205910509005440884620799319303985183620202967909019137523361542338378480932248736055511075520512 binary64)) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c (.f64 x s)) (.f64 c (.f64 x s)))) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 (.f64 (*.f64 c x) c) x) s))) s)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c (.f64 x s)) (.f64 c (.f64 x s))))
(if (<=.f64 c #s(literal 4013165208090495/20065826040452474621738395244141115820123061381619162977212070095324448220432589806036630768881181530864650607514107580997541169167266097500334986765487216377087492641938951866881041556870737904629872328704 binary64)) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 (.f64 s x) c) x) s) c)) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c (.f64 c (.f64 x s))) (*.f64 x s))))
(if (<=.f64 x #s(literal 237684487542793/79228162514264337593543950336 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (pow.f64 (.f64 c (.f64 x s)) #s(literal 2 binary64)))) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 s (.f64 (.f64 (.f64 (*.f64 s x) c) x) c))))
(if (<=.f64 x #s(literal 2948744166719601/842498333348457493583344221469363458551160763204392890034487820288 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (pow.f64 (.f64 c (.f64 x s)) #s(literal 2 binary64)))) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 s (.f64 (.f64 s x) (.f64 c 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 -2438866054934369/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696 binary64)) (/.f64 #s(approx (cos (* -2 x)) (fma.f64 (.f64 #s(literal -2 binary64) x) x #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 s (.f64 s x)) x) c) c)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* (* x x) -2) 1) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) 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 -2438866054934369/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696 binary64)) (/.f64 #s(approx (cos (* -2 x)) (fma.f64 (.f64 #s(literal -2 binary64) x) x #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 s (.f64 s x)) x) c) c)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) 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 -2438866054934369/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696 binary64)) (/.f64 #s(approx (cos (* -2 x)) (fma.f64 (.f64 #s(literal -2 binary64) x) x #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 s (.f64 s x)) x) c) c)) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (*.f64 s x) c) x) s) c)))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -2438866054934369/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 c s) (.f64 c s))))) (/.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (*.f64 s x) c) x) s) c)))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -2438866054934369/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 c s) (.f64 c s))))) (/.f64 #s(approx (cos ( -2 x)) #s(literal 1 binary64)) (.f64 (.f64 s (.f64 (.f64 s x) (*.f64 c 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 -2438866054934369/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 c s) (.f64 c s))))) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (*.f64 c c) x) x) s) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 (*.f64 s s) c) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 (*.f64 c s) s) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 s s) (*.f64 c c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* c c) x) x) s) s)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 c s) (*.f64 c s)))))

derivations391.0ms (6.1%)

Memory

-6.6MiB live, 286.7MiB allocated; 20ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 847 to 146 computations (82.8% saved)

preprocess95.0ms (1.5%)

Memory: 7.0MiB live, 151.8MiB allocated; 24ms collecting garbage
Compiler: Compiled 1 998 to 460 computations (77% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze138.0ms (2.2%)

sample2.0s (32%)

explain284.0ms (4.5%)

preprocess177.0ms (2.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify155.0ms (2.4%)

localize63.0ms (1%)

series43.0ms (0.7%)

simplify249.0ms (3.9%)

rewrite58.0ms (0.9%)

eval7.0ms (0.1%)

prune11.0ms (0.2%)

simplify143.0ms (2.2%)

localize136.0ms (2.1%)

series53.0ms (0.8%)

simplify117.0ms (1.8%)

rewrite66.0ms (1%)

eval35.0ms (0.6%)

prune40.0ms (0.6%)

simplify136.0ms (2.1%)

localize175.0ms (2.7%)

series58.0ms (0.9%)

simplify138.0ms (2.2%)

rewrite47.0ms (0.7%)

eval11.0ms (0.2%)

prune25.0ms (0.4%)

simplify104.0ms (1.6%)

localize177.0ms (2.8%)

series67.0ms (1.1%)

simplify128.0ms (2%)

rewrite95.0ms (1.5%)

eval55.0ms (0.9%)

prune63.0ms (1%)

regimes142.0ms (2.2%)

regimes25.0ms (0.4%)

regimes51.0ms (0.8%)

regimes82.0ms (1.3%)

regimes29.0ms (0.4%)

regimes36.0ms (0.6%)

regimes79.0ms (1.2%)

regimes101.0ms (1.6%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

regimes25.0ms (0.4%)

regimes21.0ms (0.3%)

regimes12.0ms (0.2%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch45.0ms (0.7%)

bsearch28.0ms (0.4%)

bsearch3.0ms (0%)

bsearch20.0ms (0.3%)

bsearch14.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify48.0ms (0.8%)

derivations391.0ms (6.1%)

preprocess95.0ms (1.5%)

end0.0ms (0%)

Profiling