Metrics for mixedcos

analyze134.0ms (1.4%)

Memory

-22.0MiB live, 215.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample1.6s (17.2%)

Memory

17.5MiB live, 2 158.3MiB allocated

Samples

943.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 715.0ms

ival-mult: 262.0ms (36.6% of total)

ival-cos: 200.0ms (28% of total)

ival-pow2: 191.0ms (26.7% of total)

ival-div: 48.0ms (6.7% of total)

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

exact: 5.0ms (0.7% of total)

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

Bogosity

preprocess52.0ms (0.6%)

Memory

19.8MiB live, 68.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs s)

(abs c)

(abs x)

(sort c s)

explain191.0ms (2%)

Memory

-21.3MiB live, 251.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
73	0	-	1	(1.6428894193633417e-24 6.880016617734403e-157 8.435014316740129e+171)	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`
35	0	-	2	(4.0504958231159095e+164 2.128753340353281e-163 3.9041844115280854e-161)	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`
18	0	-	0	-	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`
3	0	-	0	-	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
0	0	-	0	-	`(pow.f64 c #s(literal 2 binary64))`
0	0	-	0	-	`(*.f64 #s(literal 2 binary64) x)`
0	125	(1.5654912199558568e+140 1.2828745178367251e-99 2.4090194622244725e+197)	0	-	`(cos.f64 (*.f64 #s(literal 2 binary64) x))`
0	0	-	0	-	`s`
0	0	-	0	-	`c`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`x`
0	0	-	0	-	`(pow.f64 s #s(literal 2 binary64))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`cos.f64`	`(cos.f64 (*.f64 #s(literal 2 binary64) x))`	sensitivity	125	1
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*uo**	36	0
↳	`(pow.f64 c #s(literal 2 binary64))`	underflow	111
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	overflow	121
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	overflow	119
↳	`(pow.f64 s #s(literal 2 binary64))`	overflow	122
`*.f64`	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	*no**	30	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*no**	20	0
`*.f64`	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	*no**	17	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*nu**	16	0
`/.f64`	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`	n/o	3	0
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	overflow	121
↳	`(pow.f64 c #s(literal 2 binary64))`	overflow	17
↳	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	overflow	82
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	overflow	119
↳	`(pow.f64 s #s(literal 2 binary64))`	overflow	122
`*.f64`	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	*nu**	3	0
`*.f64`	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	*nu**	1	0

Confusion

	Predicted +	Predicted -
+	107	0
-	77	72

Precision

0.5815217391304348

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	107	0	0
-	77	1	71

Precision?

0.5783783783783784

Recall?

1.0

Freqs

test

number	freq
0	72
1	118
2	65
3	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

57.0ms

512×

valid

Compiler

Compiled 154 to 52 computations (66.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-cos: 12.0ms (32.3% of total)

ival-mult: 12.0ms (32.3% of total)

ival-pow2: 9.0ms (24.3% of total)

ival-div: 3.0ms (8.1% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.8%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))

Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify22.0ms (0.2%)

Memory

-8.7MiB live, 33.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 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 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
✓	cost-diff	6144	(pow.f64 s #s(literal 2 binary64))
✓	cost-diff	6144	(pow.f64 c #s(literal 2 binary64))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize42.0ms (0.5%)

Memory

25.9MiB live, 63.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(/.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)))
✓	accuracy	93.4%	(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)
✓	accuracy	87.3%	(*.f64 x (pow.f64 s #s(literal 2 binary64)))
✓	accuracy	74.0%	(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))

Samples

26.0ms

256×

valid

Compiler

Compiled 58 to 14 computations (75.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 6.0ms (34.9% of total)

ival-cos: 5.0ms (29.1% of total)

ival-pow2: 4.0ms (23.3% of total)

ival-div: 1.0ms (5.8% of total)

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

exact: 0.0ms (0% of total)

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

series19.0ms (0.2%)

Memory

-10.0MiB live, 27.9MiB allocated

Counts

7 → 156

Calls

Call 1

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

Outputs
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))>
#<alt (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))>
#<alt (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))>
#<alt (cos (* 2 x))>
#<alt (cos (* 2 x))>
#<alt (cos (* 2 x))>
#<alt (cos (* 2 x))>
#<alt (cos (* 2 x))>
#<alt (cos (* 2 x))>
#<alt (cos (* 2 x))>
#<alt (cos (* 2 x))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) (pow x 2))>
#<alt (* (pow s 2) (pow x 2))>
#<alt (* (pow s 2) (pow x 2))>
#<alt (* (pow s 2) (pow x 2))>
#<alt (* (pow s 2) (pow x 2))>
#<alt (* (pow s 2) (pow x 2))>
#<alt (* (pow s 2) (pow x 2))>
#<alt (* (pow s 2) (pow x 2))>
#<alt (* (pow s 2) (pow x 2))>
#<alt (* (pow s 2) (pow x 2))>
#<alt (* (pow s 2) (pow x 2))>
#<alt (* (pow s 2) (pow x 2))>
#<alt (* (pow s 2) (pow x 2))>
#<alt (* (pow s 2) (pow x 2))>
#<alt (* (pow s 2) (pow x 2))>
#<alt (* (pow s 2) (pow x 2))>
#<alt (* (pow s 2) (pow x 2))>
#<alt (* (pow s 2) (pow x 2))>
#<alt (* (pow s 2) (pow x 2))>
#<alt (* (pow s 2) (pow x 2))>
#<alt (* (pow s 2) (pow x 2))>
#<alt (* (pow s 2) (pow x 2))>
#<alt (* (pow s 2) (pow x 2))>
#<alt (* (pow s 2) (pow x 2))>

Calls

39 calls:

Time	Variable		Point	Expression
5.0ms	c	@	0	(/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)))
2.0ms	x	@	0	(* x (pow s 2))
2.0ms	x	@	inf	(/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)))
1.0ms	s	@	0	(/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)))
1.0ms	x	@	0	(/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)))

simplify448.0ms (4.8%)

Memory

-3.7MiB live, 571.1MiB allocated

Algorithm

1×	egg-herbie

Rules

15 610×	`lower-fma.f64`
15 610×	`lower-fma.f32`
5 362×	`lower-*.f64`
5 362×	`lower-*.f32`
2 446×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	1476
1	117	1476
2	383	1462
3	1957	1452
4	4755	1444
5	6901	1444
0	8120	1432

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

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

rewrite359.0ms (3.8%)

Memory

-12.6MiB live, 575.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

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

Counts

7 → 677

Calls

Call 1

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

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

eval116.0ms (1.2%)

Memory: 20.5MiB live, 259.5MiB allocated
Compiler: Compiled 27 919 to 2 413 computations (91.4% saved)

prune119.0ms (1.3%)

Memory

0.7MiB live, 350.2MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	816	17	833
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	817	17	834

Accuracy

99.0%

Counts

834 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.2%	(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c c) x)) s) (*.f64 s x))
	71.3%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 s x))) (.f64 (.f64 c c) x))
	88.3%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 (.f64 c (.f64 s x)) s))) x)
	88.3%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (.f64 c (.f64 (.f64 c (.f64 s x)) s)))
	64.2%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c c) (.f64 s (.f64 s (*.f64 x x)))))
▶	96.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 c s) x) #s(literal 2 binary64)))
▶	76.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c c) x) (.f64 s x)) s))
	60.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c c) x) x) (.f64 s s)))
	76.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c c) x) s) (.f64 s x)))
	90.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 (.f64 c (.f64 s x)) s)))
▶	88.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c (.f64 (.f64 c (.f64 s x)) s)) x))
	78.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s)))))))
	60.9%	(.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 s s) (.f64 (*.f64 x x) c))) (/.f64 #s(literal 1 binary64) c))
▶	88.3%	(.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 (.f64 c (*.f64 s x)) s))) (/.f64 #s(literal 1 binary64) x))
	88.1%	(.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (.f64 (.f64 (.f64 c (*.f64 s x)) s) (/.f64 x (cos.f64 (+.f64 x x)))) #s(literal -1 binary64)))
	49.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 s (.f64 c (.f64 c s))))) (.f64 x x)))
▶	70.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s)))))))

Compiler

Compiled 662 to 404 computations (39% saved)

simplify103.0ms (1.1%)

Memory

25.3MiB live, 136.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x x)
✓	cost-diff	0	(cos.f64 (+.f64 x x))
✓	cost-diff	0	(/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 (.f64 c (.f64 s x)) s)))
✓	cost-diff	704	(.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 (.f64 c (*.f64 s x)) s))) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(.f64 (.f64 (.f64 (.f64 c c) x) (*.f64 s x)) s)
✓	cost-diff	0	(cos.f64 (*.f64 #s(literal 2 binary64) x))
✓	cost-diff	0	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c c) x) (.f64 s x)) s))
✓	cost-diff	128	(*.f64 #s(literal 2 binary64) x)
✓	cost-diff	0	(.f64 (.f64 c (.f64 (.f64 c (*.f64 s x)) s)) 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 c (.f64 (.f64 c (.f64 s x)) s)) x))
✓	cost-diff	128	(*.f64 #s(literal 2 binary64) x)
✓	cost-diff	0	(.f64 x (.f64 s (.f64 c (.f64 c s))))
✓	cost-diff	0	(.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s)))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s))))))
✓	cost-diff	0	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s)))))))
✓	cost-diff	0	(cos.f64 (*.f64 #s(literal 2 binary64) x))
✓	cost-diff	0	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 c s) x) #s(literal 2 binary64)))
✓	cost-diff	128	(*.f64 #s(literal 2 binary64) x)
✓	cost-diff	5504	(pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64))

Rules

1 624×	`lower-*.f32`
1 590×	`lower-*.f64`
1 064×	`times-frac`
756×	`lower-/.f32`
748×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	310
0	68	284
1	136	272
2	319	272
3	870	272
4	1991	272
5	2046	272
6	2078	272
7	2080	272
8	2080	272
9	2360	272
10	2391	272
11	2397	272
12	2397	272
13	2398	272
14	2398	272
15	2505	272
16	2505	272
0	2505	272

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize212.0ms (2.3%)

Memory

-9.2MiB live, 369.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	97.1%	(.f64 (.f64 c (*.f64 s x)) s)
✓	accuracy	94.0%	(.f64 c (.f64 (.f64 c (.f64 s x)) s))
✓	accuracy	93.2%	(.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 (.f64 c (*.f64 s x)) s))) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	92.4%	(.f64 c (.f64 s x))
✓	accuracy	99.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c c) x) (.f64 s x)) s))
✓	accuracy	94.2%	(.f64 (.f64 (.f64 (.f64 c c) x) (*.f64 s x)) s)
✓	accuracy	88.7%	(.f64 (.f64 (.f64 c c) x) (.f64 s x))
✓	accuracy	88.0%	(.f64 (.f64 c c) x)
✓	accuracy	97.1%	(.f64 (.f64 c (*.f64 s x)) s)
✓	accuracy	94.0%	(.f64 c (.f64 (.f64 c (.f64 s x)) s))
✓	accuracy	93.0%	(.f64 (.f64 c (.f64 (.f64 c (*.f64 s x)) s)) x)
✓	accuracy	92.4%	(.f64 c (.f64 s x))
✓	accuracy	94.6%	(.f64 s (.f64 c (*.f64 c s)))
✓	accuracy	93.0%	(.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s)))))
✓	accuracy	89.3%	(.f64 x (.f64 s (.f64 c (.f64 c s))))
✓	accuracy	81.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s)))))))
✓	accuracy	100.0%	(cos.f64 (*.f64 #s(literal 2 binary64) x))
✓	accuracy	99.7%	(pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64))
✓	accuracy	99.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 c s) x) #s(literal 2 binary64)))
✓	accuracy	93.1%	(.f64 (.f64 c s) x)

Samples

93.0ms

256×

valid

Compiler

Compiled 298 to 40 computations (86.6% saved)

Precisions

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

ival-mult: 31.0ms (44.3% of total)

ival-div: 19.0ms (27.2% of total)

ival-cos: 10.0ms (14.3% of total)

ival-pow2: 7.0ms (10% of total)

ival-add: 1.0ms (1.4% of total)

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

exact: 0.0ms (0% of total)

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

series41.0ms (0.4%)

Memory

-20.1MiB live, 99.1MiB allocated

Counts

23 → 708

Calls

Call 1

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

Outputs
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))>
#<alt (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))>
#<alt (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
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#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))>
#<alt (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))>
#<alt (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) x)>
#<alt (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) x)>
#<alt (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) x)>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))>
#<alt (cos (* 2 x))>
#<alt (cos (* 2 x))>
#<alt (cos (* 2 x))>
#<alt (cos (* 2 x))>
#<alt (cos (neg (* -2 x)))>
#<alt (cos (neg (* -2 x)))>
#<alt (cos (neg (* -2 x)))>
#<alt (cos (neg (* -2 x)))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* (pow c 2) (pow s 2))>
#<alt (* (pow c 2) (pow s 2))>
#<alt (* (pow c 2) (pow s 2))>
#<alt (* (pow c 2) (pow s 2))>
#<alt (* (pow c 2) (pow s 2))>
#<alt (* (pow c 2) (pow s 2))>
#<alt (* (pow c 2) (pow s 2))>
#<alt (* (pow c 2) (pow s 2))>
#<alt (* (pow c 2) (pow s 2))>
#<alt (* (pow c 2) (pow s 2))>
#<alt (* (pow c 2) (pow s 2))>
#<alt (* (pow c 2) (pow s 2))>
#<alt (* (pow c 2) (pow s 2))>
#<alt (* (pow c 2) (pow s 2))>
#<alt (* (pow c 2) (pow s 2))>
#<alt (* (pow c 2) (pow s 2))>
#<alt (* (pow c 2) (pow s 2))>
#<alt (* (pow c 2) (pow s 2))>
#<alt (* (pow c 2) (pow s 2))>
#<alt (* (pow c 2) (pow s 2))>
#<alt (* (pow c 2) (pow s 2))>
#<alt (* (pow c 2) (pow s 2))>
#<alt (* (pow c 2) (pow s 2))>
#<alt (* (pow c 2) (pow s 2))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* (pow c 2) x)>
#<alt (* (pow c 2) x)>
#<alt (* (pow c 2) x)>
#<alt (* (pow c 2) x)>
#<alt (* (pow c 2) x)>
#<alt (* (pow c 2) x)>
#<alt (* (pow c 2) x)>
#<alt (* (pow c 2) x)>
#<alt (* (pow c 2) x)>
#<alt (* (pow c 2) x)>
#<alt (* (pow c 2) x)>
#<alt (* (pow c 2) x)>
#<alt (* (pow c 2) x)>
#<alt (* (pow c 2) x)>
#<alt (* (pow c 2) x)>
#<alt (* (pow c 2) x)>
#<alt (* (pow c 2) x)>
#<alt (* (pow c 2) x)>
#<alt (* (pow c 2) x)>
#<alt (* (pow c 2) x)>
#<alt (* (pow c 2) x)>
#<alt (* (pow c 2) x)>
#<alt (* (pow c 2) x)>
#<alt (* (pow c 2) x)>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>

Calls

177 calls:

Time	Variable		Point	Expression
6.0ms	c	@	0	(/ (cos (+ x x)) (* c (* (* c (* s x)) s)))
1.0ms	x	@	-inf	(* (/ (cos (+ x x)) (* c (* (* c (* s x)) s))) (/ 1 x))
1.0ms	x	@	-inf	(/ (cos (+ x x)) (* c (* (* c (* s x)) s)))
0.0ms	x	@	inf	(* (* c (* s x)) s)
0.0ms	s	@	0	(* (* (* c c) x) (* s x))

simplify550.0ms (5.8%)

Memory

3.4MiB live, 646.6MiB allocated

Algorithm

1×	egg-herbie

Rules

19 794×	`lower-fma.f64`
19 794×	`lower-fma.f32`
5 670×	`lower-*.f64`
5 670×	`lower-*.f32`
2 342×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	7956
1	161	7956
2	463	7872
3	1820	7812
4	4056	7764
5	6341	7764
0	8169	7716

Stop Event

1×	iter limit
1×	node limit

Counts

708 → 708

Calls

Call 1

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

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

rewrite93.0ms (1%)

Memory

1.6MiB live, 119.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

600×	`lower-*.f32`
566×	`lower-*.f64`
422×	`lower-/.f32`
414×	`lower-/.f64`
114×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	229
0	68	203
1	214	179
0	1013	179

Stop Event

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

Counts

23 → 622

Calls

Call 1

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

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

eval258.0ms (2.7%)

Memory: 2.7MiB live, 354.9MiB allocated
Compiler: Compiled 27 675 to 1 005 computations (96.4% saved)

prune135.0ms (1.4%)

Memory

11.4MiB live, 292.5MiB allocated

Pruning

38 alts after pruning (37 fresh and 1 done)

	Pruned	Kept	Total
New	1 533	34	1 567
Fresh	9	3	12
Picked	4	1	5
Done	0	0	0
Total	1 546	38	1 584

Accuracy

100.0%

Counts

1 584 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.8%	(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (.f64 c (.f64 s (*.f64 s x)))) c)
	88.3%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 (.f64 c (.f64 s x)) s))) x)
▶	97.1%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x))) (.f64 c (.f64 s x)))
	76.0%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 c c) x) (*.f64 s x)) s))
	88.3%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c (.f64 (.f64 c (*.f64 s x)) s)) x))
	60.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c c) x) x) (.f64 s s)))
	72.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x x) (.f64 c (.f64 c s))) s))
	79.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x x) (.f64 c s)) (.f64 c s)))
	77.4%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 c (.f64 s (.f64 c s))) x) x))
	71.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x x) (.f64 c (.f64 s (.f64 c s)))))
	88.6%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c (.f64 (.f64 (.f64 c x) s) s)) x))
▶	87.4%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c (.f64 (.f64 c x) (.f64 s x))) s))
	80.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c (.f64 s (.f64 s x))) (.f64 c x)))
	96.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c (.f64 s x)) (.f64 c (.f64 s x))))
	91.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c (.f64 (.f64 s x) (.f64 c (.f64 s x)))))
	81.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c (.f64 (.f64 c x) (.f64 s (.f64 s x)))))
	60.9%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (pow.f64 (.f64 (*.f64 c s) x) #s(literal 2 binary64)))
	57.4%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 c (.f64 (.f64 c (.f64 s x)) s)) x))
	79.3%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)))
✓	88.3%	(.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 (.f64 c (*.f64 s x)) s))) (/.f64 #s(literal 1 binary64) x))
▶	49.2%	(.f64 #s(approx (/ (cos (+ x x)) ( c (* (* c (* s x)) s))) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 s (*.f64 c s))))) x)) (/.f64 #s(literal 1 binary64) x))
	46.6%	#s(approx (/ (cos (* 2 x)) (pow (* (* c s) x) 2)) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 s (.f64 c s))))) (.f64 x x)))
▶	67.1%	#s(approx (/ (cos (* 2 x)) (pow (* (* c s) x) 2)) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c (.f64 s (.f64 s (*.f64 x x)))))))
	76.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c s) (.f64 c (.f64 s x)))) x))
	64.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 c (.f64 s (.f64 c s)))))
	80.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 s x))) (.f64 c (.f64 s x))))
	68.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c x))) (.f64 s (.f64 s x))))
	64.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c c)) (.f64 x (.f64 s (.f64 s x)))))
	49.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 s (.f64 c (.f64 c s))))) (.f64 x x)))
	71.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 c s)) (*.f64 c s))))
	76.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c (.f64 s x)) x) (*.f64 c s))))
	71.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) (.f64 s x)) (*.f64 s x))))
	64.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 c (.f64 s (*.f64 c s))))))
	68.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 s (.f64 s x))) (*.f64 c x))))
	80.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 s x)) (.f64 c (*.f64 s x)))))
	59.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 c (.f64 c x)) (*.f64 s s)))))
	71.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 (.f64 c s) (*.f64 c s))))))
▶	79.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 (.f64 s x) (.f64 c (*.f64 s x))))))

Compiler

Compiled 1 393 to 813 computations (41.6% saved)

simplify192.0ms (2%)

Memory

-33.6MiB live, 213.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 c (.f64 (.f64 c x) (*.f64 s x))) s)
✓	cost-diff	0	(cos.f64 (*.f64 #s(literal 2 binary64) x))
✓	cost-diff	0	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c (.f64 (.f64 c x) (.f64 s x))) s))
✓	cost-diff	128	(*.f64 #s(literal 2 binary64) x)
✓	cost-diff	0	#s(approx (/ (cos (+ x x)) (* c (* (* c (* s x)) s))) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 s (*.f64 c s))))) x))
✓	cost-diff	320	(.f64 (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 s (*.f64 c s)))))
✓	cost-diff	320	(.f64 #s(approx (/ (cos (+ x x)) ( c (* (* c (* s x)) s))) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 s (*.f64 c s))))) x)) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	384	(/.f64 (.f64 (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 s (*.f64 c s))))) x)
✓	cost-diff	0	(.f64 c (.f64 s (.f64 s (.f64 x x))))
✓	cost-diff	0	(.f64 c (.f64 c (.f64 s (.f64 s (*.f64 x x)))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 c (.f64 c (.f64 s (.f64 s (*.f64 x x))))))
✓	cost-diff	0	#s(approx (/ (cos (* 2 x)) (pow (* (* c s) x) 2)) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c (.f64 s (.f64 s (*.f64 x x)))))))
✓	cost-diff	0	(.f64 (.f64 s x) (.f64 c (.f64 s x)))
✓	cost-diff	0	(.f64 c (.f64 (.f64 s x) (.f64 c (*.f64 s x))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 c (.f64 (.f64 s x) (.f64 c (*.f64 s x)))))
✓	cost-diff	0	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 (.f64 s x) (.f64 c (*.f64 s x))))))
✓	cost-diff	0	(+.f64 x x)
✓	cost-diff	0	(cos.f64 (+.f64 x x))
✓	cost-diff	0	(/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x)))
✓	cost-diff	384	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x))) (.f64 c (.f64 s x)))

Rules

5 300×	`lower-fma.f32`
5 298×	`lower-fma.f64`
2 910×	`lower-*.f32`
2 872×	`lower-*.f64`
2 228×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	60	402
0	94	370
1	178	352
2	391	352
3	962	352
4	2025	352
5	2668	352
6	4853	352
7	4869	352
8	4869	352
9	7338	352
10	7360	352
11	7703	352
0	8034	352

Stop Event

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

Calls

Call 1

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

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

localize163.0ms (1.7%)

Memory

39.6MiB live, 354.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c (.f64 (.f64 c x) (.f64 s x))) s))
✓	accuracy	97.1%	(.f64 (.f64 c x) (*.f64 s x))
✓	accuracy	94.2%	(.f64 (.f64 c (.f64 (.f64 c x) (*.f64 s x))) s)
✓	accuracy	92.1%	(.f64 c (.f64 (.f64 c x) (.f64 s x)))
✓	accuracy	93.2%	(.f64 #s(approx (/ (cos (+ x x)) ( c (* (* c (* s x)) s))) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 s (*.f64 c s))))) x)) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	88.9%	(.f64 (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 s (*.f64 c s)))))
✓	accuracy	88.1%	(/.f64 (.f64 (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 s (*.f64 c s))))) x)
✓	accuracy	66.9%	#s(approx (/ (cos (+ x x)) (* c (* (* c (* s x)) s))) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 s (*.f64 c s))))) x))
✓	accuracy	92.2%	(.f64 c (.f64 c (.f64 s (.f64 s (*.f64 x x)))))
✓	accuracy	90.3%	(.f64 c (.f64 s (.f64 s (.f64 x x))))
✓	accuracy	87.8%	(.f64 s (.f64 x x))
✓	accuracy	81.3%	#s(approx (/ (cos (* 2 x)) (pow (* (* c s) x) 2)) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c (.f64 s (.f64 s (*.f64 x x)))))))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (.f64 c (.f64 (.f64 s x) (.f64 c (*.f64 s x)))))
✓	accuracy	92.4%	(.f64 c (.f64 s x))
✓	accuracy	92.2%	(.f64 c (.f64 (.f64 s x) (.f64 c (*.f64 s x))))
✓	accuracy	81.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 (.f64 s x) (.f64 c (*.f64 s x))))))
✓	accuracy	100.0%	(cos.f64 (+.f64 x x))
✓	accuracy	99.8%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x))) (.f64 c (.f64 s x)))
✓	accuracy	99.4%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x)))
✓	accuracy	92.4%	(.f64 c (.f64 s x))

Samples

99.0ms

256×

valid

Compiler

Compiled 341 to 53 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-mult: 39.0ms (51.1% of total)

ival-div: 17.0ms (22.3% of total)

ival-cos: 10.0ms (13.1% of total)

ival-pow2: 6.0ms (7.9% of total)

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

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

exact: 0.0ms (0% of total)

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

series42.0ms (0.4%)

Memory

3.0MiB live, 80.6MiB allocated

Counts

24 → 756

Calls

Call 1

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

Outputs
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))>
#<alt (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))>
#<alt (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* c (* s x)))>
#<alt (/ (+ (* -2 (/ (pow x 2) (* c s))) (/ 1 (* c s))) x)>
#<alt (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* c s))) (* 2 (/ 1 (* c s))))) (/ 1 (* c s))) x)>
#<alt (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* c s))) (* 2/3 (/ 1 (* c s))))) (* 2 (/ 1 (* c s))))) (/ 1 (* c s))) x)>
#<alt (/ (cos (* 2 x)) (* c (* s x)))>
#<alt (/ (cos (* 2 x)) (* c (* s x)))>
#<alt (/ (cos (* 2 x)) (* c (* s x)))>
#<alt (/ (cos (* 2 x)) (* c (* s x)))>
#<alt (/ (cos (neg (* -2 x))) (* c (* s x)))>
#<alt (/ (cos (neg (* -2 x))) (* c (* s x)))>
#<alt (/ (cos (neg (* -2 x))) (* c (* s x)))>
#<alt (/ (cos (neg (* -2 x))) (* c (* s x)))>
#<alt (/ (cos (* 2 x)) (* c (* s x)))>
#<alt (/ (cos (* 2 x)) (* c (* s x)))>
#<alt (/ (cos (* 2 x)) (* c (* s x)))>
#<alt (/ (cos (* 2 x)) (* c (* s x)))>
#<alt (/ (cos (* 2 x)) (* c (* s x)))>
#<alt (/ (cos (* 2 x)) (* c (* s x)))>
#<alt (/ (cos (* 2 x)) (* c (* s x)))>
#<alt (/ (cos (* 2 x)) (* c (* s x)))>
#<alt (/ (cos (* 2 x)) (* c (* s x)))>
#<alt (/ (cos (* 2 x)) (* c (* s x)))>
#<alt (/ (cos (* 2 x)) (* c (* s x)))>
#<alt (/ (cos (* 2 x)) (* c (* s x)))>
#<alt (/ (cos (* 2 x)) (* c (* s x)))>
#<alt (/ (cos (* 2 x)) (* c (* s x)))>
#<alt (/ (cos (* 2 x)) (* c (* s x)))>
#<alt (/ (cos (* 2 x)) (* c (* s x)))>
#<alt (/ (cos (* 2 x)) (* c (* s x)))>
#<alt (/ (cos (* 2 x)) (* c (* s x)))>
#<alt (/ (cos (* 2 x)) (* c (* s x)))>
#<alt (/ (cos (* 2 x)) (* c (* s x)))>
#<alt (/ (cos (* 2 x)) (* c (* s x)))>
#<alt (/ (cos (* 2 x)) (* c (* s x)))>
#<alt (/ (cos (* 2 x)) (* c (* s x)))>
#<alt (/ (cos (* 2 x)) (* c (* s x)))>
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))>
#<alt (cos (* 2 x))>
#<alt (cos (* 2 x))>
#<alt (cos (* 2 x))>
#<alt (cos (* 2 x))>
#<alt (cos (neg (* -2 x)))>
#<alt (cos (neg (* -2 x)))>
#<alt (cos (neg (* -2 x)))>
#<alt (cos (neg (* -2 x)))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))>
#<alt (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))>
#<alt (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
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#<alt (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2))))>
#<alt (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2))))>
#<alt (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2))))>
#<alt (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2))))>
#<alt (* (pow x 2) (- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2))))))>
#<alt (* (pow x 2) (- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2))))))>
#<alt (* (pow x 2) (- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2))))))>
#<alt (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2))))>
#<alt (* (pow x 2) (- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2))))))>
#<alt (* (pow x 2) (- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2))))))>
#<alt (* (pow x 2) (- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2))))))>
#<alt (/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (pow s 2)))>
#<alt (/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (pow s 2)))>
#<alt (/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (pow s 2)))>
#<alt (/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (pow s 2)))>
#<alt (/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (pow s 2)))>
#<alt (/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (pow s 2)))>
#<alt (/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (pow s 2)))>
#<alt (/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (pow s 2)))>
#<alt (/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (pow s 2)))>
#<alt (/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (pow s 2)))>
#<alt (/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (pow s 2)))>
#<alt (/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (pow s 2)))>
#<alt (/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (pow s 2)))>
#<alt (/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (pow s 2)))>
#<alt (/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (pow s 2)))>
#<alt (/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (pow s 2)))>
#<alt (/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (pow s 2)))>
#<alt (/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (pow s 2)))>
#<alt (/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (pow s 2)))>
#<alt (/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (pow s 2)))>
#<alt (/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (pow s 2)))>
#<alt (/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (pow s 2)))>
#<alt (/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (pow s 2)))>
#<alt (/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (pow s 2)))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) x)>
#<alt (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) x)>
#<alt (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) x)>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) x)))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))>
#<alt (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))>
#<alt (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))>
#<alt (cos (* 2 x))>
#<alt (cos (* 2 x))>
#<alt (cos (* 2 x))>
#<alt (cos (* 2 x))>
#<alt (cos (* 2 x))>
#<alt (cos (* 2 x))>
#<alt (cos (* 2 x))>
#<alt (cos (* 2 x))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>

Calls

189 calls:

Time	Variable		Point	Expression
12.0ms	x	@	-inf	(/ (cos (* 2 x)) (* (* c (* (* c x) (* s x))) s))
3.0ms	x	@	inf	(/ (cos (+ x x)) (* c (* s x)))
1.0ms	x	@	inf	(/ (* (+ (* x (* x -2)) 1) (/ 1 (* c (* s (* c s))))) x)
1.0ms	x	@	-inf	(/ (cos (+ x x)) (* c (* s x)))
1.0ms	c	@	0	(/ (* (+ (* x (* x -2)) 1) (/ 1 (* c (* s (* c s))))) x)

simplify358.0ms (3.8%)

Memory

-11.0MiB live, 739.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 546×	`lower-fma.f64`
12 546×	`lower-fma.f32`
6 648×	`lower-*.f64`
6 648×	`lower-*.f32`
2 702×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	9380
1	251	9380
2	785	9290
3	3007	9190
4	5479	9178
0	8135	9058

Stop Event

1×	iter limit
1×	node limit

Counts

756 → 756

Calls

Call 1

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

rewrite111.0ms (1.2%)

Memory

4.3MiB live, 180.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

908×	`lower-*.f32`
870×	`lower-*.f64`
758×	`lower-/.f32`
744×	`lower-/.f64`
222×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	60	319
0	94	277
1	296	245
0	1473	245

Stop Event

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

Counts

24 → 512

Calls

Call 1

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

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

eval230.0ms (2.4%)

Memory: -0.4MiB live, 267.0MiB allocated
Compiler: Compiled 24 890 to 1 126 computations (95.5% saved)

prune148.0ms (1.6%)

Memory

-33.7MiB live, 261.7MiB allocated

Pruning

39 alts after pruning (35 fresh and 4 done)

	Pruned	Kept	Total
New	1 346	20	1 366
Fresh	17	15	32
Picked	2	3	5
Done	0	1	1
Total	1 365	39	1 404

Accuracy

100.0%

Counts

1 404 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.0%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 x (.f64 c s)))) (.f64 x s))
✓	97.1%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x))) (.f64 c (.f64 s x)))
	61.8%	(/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 c (.f64 s x))) (.f64 c (*.f64 s x)))
	80.9%	(/.f64 (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (.f64 c (.f64 s x))) (.f64 c (.f64 s x)))
	91.2%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x s) (.f64 c (.f64 x (*.f64 c s)))))
	88.3%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c (.f64 (.f64 c (*.f64 s x)) s)) x))
▶	87.4%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c (.f64 (.f64 c x) (*.f64 s x))) s))
	60.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c c) x) x) (.f64 s s)))
	91.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 c s)) (.f64 x c)) s))
	70.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x (.f64 x (.f64 c (.f64 s s)))) c))
	71.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x x) (.f64 c (.f64 s (.f64 c s)))))
	81.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c (.f64 (.f64 (.f64 x c) x) s)) s))
▶	96.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c (.f64 s x)) (.f64 c (.f64 s x))))
	60.1%	(/.f64 #s(approx (/ (cos (+ x x)) (* c (* s x))) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 c s))) x)) (.f64 c (*.f64 s x)))
	60.9%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (pow.f64 (.f64 (*.f64 c s) x) #s(literal 2 binary64)))
	57.4%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 c (.f64 (.f64 c (.f64 s x)) s)) x))
▶	56.4%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 c (.f64 (.f64 c x) (.f64 s x))) s))
✓	88.3%	(.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 (.f64 c (*.f64 s x)) s))) (/.f64 #s(literal 1 binary64) x))
	91.2%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x s) (.f64 c (.f64 x (.f64 c s))))) (cos.f64 (+.f64 x x)))
	52.2%	(.f64 #s(approx (/ (cos (+ x x)) ( c (* (* c (* s x)) s))) (/.f64 (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 c s)) (*.f64 c s)) x)) (/.f64 #s(literal 1 binary64) x))
	75.6%	(.f64 #s(approx (/ (cos (+ x x)) ( c (* (* c (* s x)) s))) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 s (.f64 x (.f64 c s)))))) (/.f64 #s(literal 1 binary64) x))
	29.6%	(.f64 #s(approx (/ (cos (+ x x)) ( c (* (* c (* s x)) s))) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* c (* s (* c s))))) x) (/.f64 (.f64 x #s(literal -2 binary64)) (.f64 c (.f64 c (.f64 s s)))))) (/.f64 #s(literal 1 binary64) x))
	59.9%	#s(approx (/ (cos (* 2 x)) (pow (* (* c s) x) 2)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 c (.f64 s s))))) c))
	65.0%	#s(approx (/ (cos (* 2 x)) (pow (* (* c s) x) 2)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 s (.f64 x s)))) (.f64 c c)))
	73.2%	#s(approx (/ (cos (* 2 x)) (pow (* (* c s) x) 2)) (/.f64 (/.f64 #s(literal 1 binary64) s) (.f64 c (.f64 x (.f64 x (.f64 c s))))))
	46.6%	#s(approx (/ (cos (* 2 x)) (pow (* (* c s) x) 2)) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 s (.f64 c s))))) (.f64 x x)))
	79.3%	#s(approx (/ (cos (* 2 x)) (pow (* (* c s) x) 2)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 c s)) (.f64 x (*.f64 c s)))))
	72.2%	#s(approx (/ (cos (* 2 x)) (pow (* (* c s) x) 2)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 s (.f64 c (.f64 x c))) (*.f64 x s))))
	60.3%	#s(approx (/ (cos (* 2 x)) (pow (* (* c s) x) 2)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 x (.f64 c (*.f64 s s)))) x)))
✓	67.1%	#s(approx (/ (cos (* 2 x)) (pow (* (* c s) x) 2)) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c (.f64 s (.f64 s (*.f64 x x)))))))
	64.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 c (.f64 s (.f64 c s)))))
▶	68.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c x))) (.f64 s (.f64 s x))))
	49.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 s (.f64 c (.f64 c s))))) (.f64 x x)))
	71.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 c s)) (*.f64 c s))))
	71.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) (.f64 s x)) (*.f64 s x))))
	64.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 c (.f64 s (*.f64 c s))))))
	68.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 s (.f64 s x))) (*.f64 c x))))
▶	71.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 (.f64 c s) (*.f64 c s))))))
✓	79.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 (.f64 s x) (.f64 c (*.f64 s x))))))

Compiler

Compiled 1 410 to 815 computations (42.2% saved)

simplify38.0ms (0.4%)

Memory

17.7MiB live, 55.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

1 452×	`associate-/r*`
1 134×	`lower-/.f32`
1 124×	`lower-/.f64`
342×	`lower-*.f32`
320×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	333
0	69	333
1	139	333
2	330	333
3	804	333
4	893	333
5	894	333
6	894	333
7	1299	333
8	1331	333
9	1331	333
0	1331	333

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize131.0ms (1.4%)

Memory

21.3MiB live, 212.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c (.f64 (.f64 c x) (*.f64 s x))) s))
✓	accuracy	97.1%	(.f64 (.f64 c x) (*.f64 s x))
✓	accuracy	94.2%	(.f64 (.f64 c (.f64 (.f64 c x) (*.f64 s x))) s)
✓	accuracy	92.1%	(.f64 c (.f64 (.f64 c x) (.f64 s x)))
✓	accuracy	97.1%	(.f64 (.f64 c x) (*.f64 s x))
✓	accuracy	94.2%	(.f64 (.f64 c (.f64 (.f64 c x) (*.f64 s x))) s)
✓	accuracy	92.1%	(.f64 c (.f64 (.f64 c x) (.f64 s x)))
✓	accuracy	52.0%	#s(approx (cos (* 2 x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
✓	accuracy	99.8%	(.f64 c (.f64 c x))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (.f64 c (.f64 c x)))
✓	accuracy	81.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c x))) (.f64 s (.f64 s x))))
✓	accuracy	78.8%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c x))) (.f64 s (.f64 s x)))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 (.f64 c s) (*.f64 c s)))))
✓	accuracy	93.0%	(.f64 x (.f64 x (.f64 (.f64 c s) (*.f64 c s))))
✓	accuracy	89.3%	(.f64 x (.f64 (.f64 c s) (.f64 c s)))
✓	accuracy	81.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 (.f64 c s) (*.f64 c s))))))
✓	accuracy	100.0%	(cos.f64 (*.f64 #s(literal 2 binary64) x))
✓	accuracy	99.7%	(.f64 (.f64 c (.f64 s x)) (.f64 c (*.f64 s x)))
✓	accuracy	99.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c (.f64 s x)) (.f64 c (.f64 s x))))
✓	accuracy	92.4%	(.f64 c (.f64 s x))

Samples

82.0ms

256×

valid

Compiler

Compiled 294 to 40 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 31.0ms (50.3% of total)

ival-cos: 11.0ms (17.8% of total)

ival-div: 10.0ms (16.2% of total)

ival-pow2: 7.0ms (11.4% of total)

ival-add: 2.0ms (3.2% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.2%)

Memory

-24.2MiB live, 22.2MiB allocated

Counts

23 → 636

Calls

Call 1

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

Outputs
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))>
#<alt (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))>
#<alt (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))>
#<alt (cos (* 2 x))>
#<alt (cos (* 2 x))>
#<alt (cos (* 2 x))>
#<alt (cos (* 2 x))>
#<alt (cos (* 2 x))>
#<alt (cos (* 2 x))>
#<alt (cos (* 2 x))>
#<alt (cos (* 2 x))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))>
#<alt (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))>
#<alt (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
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#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* (pow c 2) (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>
#<alt (* c (* s (pow x 2)))>

Calls

159 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(/ 1 (* c (* c x)))
0.0ms	x	@	inf	(/ 1 (* c (* c x)))
0.0ms	c	@	0	(/ 1 (* c (* c x)))
0.0ms	x	@	-inf	(/ 1 (* c (* c x)))
0.0ms	c	@	inf	(/ 1 (* c (* c x)))

simplify421.0ms (4.5%)

Memory

12.1MiB live, 601.6MiB allocated

Algorithm

1×	egg-herbie

Rules

15 898×	`lower-fma.f64`
15 898×	`lower-fma.f32`
5 458×	`lower-*.f64`
5 458×	`lower-*.f32`
2 434×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	7130
1	158	7130
2	466	7060
3	1868	7010
4	4595	6970
5	6795	6970
0	8046	6913

Stop Event

1×	iter limit
1×	node limit

Counts

636 → 636

Calls

Call 1

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

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

rewrite86.0ms (0.9%)

Memory

11.3MiB live, 128.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

710×	`lower-*.f32`
680×	`lower-*.f64`
556×	`lower-/.f32`
546×	`lower-/.f64`
186×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	250
0	69	220
1	221	192
0	1124	192

Stop Event

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

Counts

23 → 504

Calls

Call 1

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

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

eval145.0ms (1.5%)

Memory: 4.7MiB live, 281.4MiB allocated
Compiler: Compiled 23 996 to 988 computations (95.9% saved)

prune141.0ms (1.5%)

Memory

-19.5MiB live, 339.1MiB allocated

Pruning

42 alts after pruning (36 fresh and 6 done)

	Pruned	Kept	Total
New	1 336	24	1 360
Fresh	18	12	30
Picked	3	2	5
Done	0	4	4
Total	1 357	42	1 399

Accuracy

100.0%

Counts

1 399 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.1%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x))) (.f64 c (.f64 s x)))
	92.4%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 c (.f64 x s)))) (.f64 x s))
	80.9%	(/.f64 (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (.f64 c (.f64 s x))) (.f64 c (.f64 s x)))
	76.2%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 x (*.f64 c c)) s) x) s))
	70.0%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 x x) c) (.f64 s (*.f64 c s))))
	88.1%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x (.f64 s (.f64 c (*.f64 x s)))) c))
	91.2%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x s) (.f64 c (.f64 x (*.f64 c s)))))
	81.0%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c (.f64 (.f64 (*.f64 x c) x) s)) s))
	88.3%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c (.f64 (.f64 c (*.f64 s x)) s)) x))
✓	87.4%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c (.f64 (.f64 c x) (*.f64 s x))) s))
	91.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 c s)) (.f64 x c)) s))
	60.9%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (pow.f64 (.f64 (*.f64 c s) x) #s(literal 2 binary64)))
	54.1%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 x (.f64 c c)) s) x) s))
	43.2%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 (.f64 x (.f64 s s)) (.f64 x c)) c))
	50.4%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 (.f64 x x) (.f64 c (.f64 c s))) s))
	45.6%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 (.f64 x x) c) (.f64 s (.f64 c s))))
	17.8%	(/.f64 #s(approx (cos (* 2 x)) #s(approx (+ (* x (* x -2)) 1) (.f64 x (.f64 x #s(literal -2 binary64))))) (.f64 (.f64 c (.f64 (.f64 c x) (*.f64 s x))) s))
✓	88.3%	(.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 (.f64 c (*.f64 s x)) s))) (/.f64 #s(literal 1 binary64) x))
	91.2%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x s) (.f64 c (.f64 x (.f64 c s))))) (cos.f64 (+.f64 x x)))
	75.6%	(.f64 #s(approx (/ (cos (+ x x)) ( c (* (* c (* s x)) s))) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 s (.f64 x (.f64 c s)))))) (/.f64 #s(literal 1 binary64) x))
	29.6%	(.f64 #s(approx (/ (cos (+ x x)) ( c (* (* c (* s x)) s))) #s(approx (/ (* (+ (* x (* x -2)) 1) (/ 1 (* c (* s (* c s))))) x) (/.f64 (.f64 x #s(literal -2 binary64)) (.f64 c (.f64 c (.f64 s s)))))) (/.f64 #s(literal 1 binary64) x))
	59.9%	#s(approx (/ (cos (* 2 x)) (pow (* (* c s) x) 2)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 c (.f64 s s))))) c))
	73.2%	#s(approx (/ (cos (* 2 x)) (pow (* (* c s) x) 2)) (/.f64 (/.f64 #s(literal 1 binary64) s) (.f64 c (.f64 x (.f64 x (.f64 c s))))))
	79.3%	#s(approx (/ (cos (* 2 x)) (pow (* (* c s) x) 2)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 c s)) (.f64 x (*.f64 c s)))))
✓	67.1%	#s(approx (/ (cos (* 2 x)) (pow (* (* c s) x) 2)) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c (.f64 s (.f64 s (*.f64 x x)))))))
	68.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 c c))) (*.f64 x s)) s))
	53.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 c c))) x) (*.f64 s s)))
	56.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 s s))) (.f64 x (.f64 c c))))
	67.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 s (.f64 x (.f64 x s)))) (.f64 c c)))
✓	68.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c x))) (.f64 s (.f64 s x))))
	76.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) s) (.f64 (.f64 c (.f64 x s)) (.f64 x c))))
	71.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 c s)) (*.f64 c s))))
	62.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) c) (.f64 s (*.f64 c s)))))
	76.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c (.f64 x s)) (*.f64 c s)) x)))
	76.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 s (.f64 c (*.f64 x s)))) c)))
	68.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x s) (/.f64 s (/.f64 #s(literal 1 binary64) (.f64 x (.f64 c c)))))))
	68.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x s) (.f64 s (.f64 x (*.f64 c c))))))
	79.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x s) (.f64 c (.f64 c (*.f64 x s))))))
	67.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 c (.f64 s (*.f64 c s))) x))))
	68.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 c (.f64 (.f64 s (*.f64 c s)) x)))))
	60.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 c (.f64 c (.f64 x (*.f64 s s)))))))
✓	79.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 (.f64 s x) (.f64 c (*.f64 s x))))))

Compiler

Compiled 2 294 to 730 computations (68.2% saved)

regimes210.0ms (2.2%)

Memory

16.4MiB live, 312.2MiB allocated

Counts

96 → 2

Calls

Call 1

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

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

Calls

6 calls:

65.0ms	x
35.0ms	c
28.0ms	(pow.f64 c #s(literal 2 binary64))
26.0ms	s
26.0ms	(pow.f64 s #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
98.9%	2	`x`
99.6%	2	`c`
97.1%	1	`s`
99.6%	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)))`
98.9%	2	`(pow.f64 c #s(literal 2 binary64))`
97.1%	1	`(pow.f64 s #s(literal 2 binary64))`

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes103.0ms (1.1%)

Memory

-17.1MiB live, 103.2MiB allocated

Counts

93 → 2

Calls

Call 1

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

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

Calls

2 calls:

55.0ms	c
43.0ms	(/.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
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)))`
98.9%	2	`c`

Compiler

Compiled 23 to 15 computations (34.8% saved)

regimes218.0ms (2.3%)

Memory

-3.6MiB live, 189.2MiB allocated

Counts

85 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

46.0ms	(pow.f64 c #s(literal 2 binary64))
46.0ms	(pow.f64 s #s(literal 2 binary64))
38.0ms	s
33.0ms	c
31.0ms	x

Results

Accuracy	Segments	Branch
96.5%	1	`s`
96.5%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
96.5%	1	`(pow.f64 s #s(literal 2 binary64))`
96.5%	1	`(pow.f64 c #s(literal 2 binary64))`
96.5%	1	`x`
98.3%	2	`c`

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes87.0ms (0.9%)

Memory

16.4MiB live, 54.6MiB allocated

Counts

78 → 1

Calls

Call 1

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

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

Calls

3 calls:

45.0ms	(pow.f64 s #s(literal 2 binary64))
21.0ms	c
18.0ms	(pow.f64 c #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
96.5%	1	`(pow.f64 c #s(literal 2 binary64))`
96.5%	1	`(pow.f64 s #s(literal 2 binary64))`
96.5%	1	`c`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes190.0ms (2%)

Memory

-27.6MiB live, 96.9MiB allocated

Counts

66 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

49.0ms	(pow.f64 s #s(literal 2 binary64))
41.0ms	s
18.0ms	c
18.0ms	x
16.0ms	(pow.f64 c #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
91.5%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
97.2%	3	`x`
91.5%	1	`s`
96.2%	3	`c`
95.0%	3	`(pow.f64 c #s(literal 2 binary64))`
91.5%	1	`(pow.f64 s #s(literal 2 binary64))`

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes19.0ms (0.2%)

Memory

12.8MiB live, 12.8MiB allocated

Counts

58 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
96.9%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes64.0ms (0.7%)

Memory

-0.7MiB live, 36.3MiB allocated

Counts

57 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

46.0ms	c
16.0ms	x

Results

Accuracy	Segments	Branch
92.1%	2	`c`
95.8%	3	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes18.0ms (0.2%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

56 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
93.6%	2	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes126.0ms (1.3%)

Memory

4.1MiB live, 89.7MiB allocated

Counts

55 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

49.0ms	(/.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)))
16.0ms	x
15.0ms	s
15.0ms	c
14.0ms	(pow.f64 s #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
80.9%	1	`c`
82.5%	2	`s`
83.7%	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)))`
82.5%	2	`(pow.f64 s #s(literal 2 binary64))`
80.9%	1	`(pow.f64 c #s(literal 2 binary64))`
84.3%	3	`x`

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes46.0ms (0.5%)

Memory

-17.1MiB live, 21.2MiB allocated

Counts

54 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

31.0ms	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)))

Results

Accuracy	Segments	Branch
80.9%	1	`x`
82.7%	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 23 to 15 computations (34.8% saved)

regimes29.0ms (0.3%)

Memory

26.4MiB live, 26.4MiB allocated

Counts

34 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
80.9%	1	`s`
80.9%	1	`(pow.f64 s #s(literal 2 binary64))`
80.9%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes71.0ms (0.8%)

Memory

-1.8MiB live, 37.0MiB allocated

Counts

25 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
80.6%	1	`c`
80.6%	1	`s`
80.6%	1	`(pow.f64 s #s(literal 2 binary64))`
80.6%	1	`(pow.f64 c #s(literal 2 binary64))`
80.6%	1	`x`
80.6%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes36.0ms (0.4%)

Memory

-15.1MiB live, 24.6MiB allocated

Accuracy

Total -13.9b remaining (-104.7%)

Threshold costs -13.9b (-104.7%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

6 calls:

22.0ms	(/.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)))
3.0ms	x
3.0ms	s
3.0ms	c
3.0ms	(pow.f64 s #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
79.2%	1	`c`
79.2%	1	`s`
79.2%	1	`(pow.f64 s #s(literal 2 binary64))`
79.2%	1	`(pow.f64 c #s(literal 2 binary64))`
79.2%	1	`x`
79.2%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`

Compiler

Compiled 43 to 31 computations (27.9% saved)

bsearch10.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	7.847997455996347e-230	1.1608715873273705e-229

Samples

6.0ms

64×

valid

Compiler

Compiled 166 to 102 computations (38.6% saved)

Precisions

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

ival-cos: 2.0ms (45.5% of total)

ival-mult: 1.0ms (22.8% of total)

ival-pow2: 1.0ms (22.8% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch5.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	7.847997455996347e-230	1.1608715873273705e-229

Samples

3.0ms

32×

valid

Compiler

Compiled 182 to 110 computations (39.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-cos: 1.0ms (48.6% of total)

ival-mult: 1.0ms (48.6% of total)

ival-pow2: 1.0ms (48.6% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	7.847997455996347e-230	1.1608715873273705e-229

Compiler

Compiled 182 to 114 computations (37.4% saved)

bsearch46.0ms (0.5%)

Memory

-22.2MiB live, 22.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.4930856604425997e+230	3.7927709624842837e+230
31.0ms	1326168654.5616903	25841074249.03683

Samples

35.0ms

192×

valid

Compiler

Compiled 523 to 306 computations (41.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 20.0ms (65.5% of total)

ival-cos: 6.0ms (19.6% of total)

ival-pow2: 3.0ms (9.8% of total)

ival-div: 1.0ms (3.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.4930856604425997e+230	3.7927709624842837e+230
1.0ms	1326168654.5616903	25841074249.03683

Compiler

Compiled 523 to 306 computations (41.5% saved)

bsearch11.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.4930856604425997e+230	3.7927709624842837e+230
1.0ms	1326168654.5616903	25841074249.03683

Samples

7.0ms

64×

valid

Compiler

Compiled 523 to 306 computations (41.5% saved)

Precisions

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

ival-cos: 2.0ms (39.9% of total)

ival-mult: 1.0ms (19.9% of total)

ival-pow2: 1.0ms (19.9% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1326168654.5616903	25841074249.03683

Compiler

Compiled 323 to 186 computations (42.4% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.8200855991628964e-187	0.0

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.8200855991628964e-187	0.0

Compiler

Compiled 22 to 18 computations (18.2% saved)

simplify27.0ms (0.3%)

Memory

-27.3MiB live, 11.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	586
1	144	586

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 c #s(literal 2594657776122209/27312187117075883106631072934794271937104930088205959824983071996985496526101020964951786294769886374883040913790702552866360531575272919369168306390347079868805765445689403631464768659094790245289840706092591521717005303961503585448607241732096 binary64)) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64))) (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x))) (.f64 c (*.f64 s x))))
(if (<=.f64 c #s(literal 8739899877464283/109248748468303532426524291739177087748419720352823839299932287987941986104404083859807145179079545499532163655162810211465442126301091677476673225561388319475223061782757614525859074636379160981159362824370366086868021215846014341794428966928384 binary64)) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 c s)) (.f64 x c)) s)) (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x))) (.f64 c (.f64 s x))))
(if (<=.f64 c #s(literal 8739899877464283/109248748468303532426524291739177087748419720352823839299932287987941986104404083859807145179079545499532163655162810211465442126301091677476673225561388319475223061782757614525859074636379160981159362824370366086868021215846014341794428966928384 binary64)) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 c s)) (.f64 x c)) s)) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c (.f64 s x)) (.f64 c (.f64 s x)))))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c (.f64 s x)) (.f64 c (.f64 s x))))
(if (<=.f64 x #s(literal 1350000000 binary64)) (/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 c (.f64 s x))) (.f64 c (.f64 s x))) (if (<=.f64 x #s(literal 250000000000000014118852755130210353710156595495764593675141291038864140991894549297304940397364995744942042336884090524141495161151730969326290036400819944854945985076015579954641059520647819229899897076325438318100462174073782272 binary64)) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c (.f64 (.f64 (.f64 x c) x) s)) s)) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x s) (.f64 c (.f64 x (*.f64 c s)))))))
(if (<=.f64 x #s(literal 1350000000 binary64)) (/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 c (.f64 s x))) (.f64 c (.f64 s x))) (if (<=.f64 x #s(literal 250000000000000014118852755130210353710156595495764593675141291038864140991894549297304940397364995744942042336884090524141495161151730969326290036400819944854945985076015579954641059520647819229899897076325438318100462174073782272 binary64)) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c (.f64 (.f64 (.f64 x c) x) s)) s)) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c (.f64 (.f64 c (*.f64 s x)) s)) x))))
(if (<=.f64 x #s(literal 1350000000 binary64)) (/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 c (.f64 s x))) (.f64 c (.f64 s x))) (if (<=.f64 x #s(literal 220000000000000008977307760075843049559482674391951720179053642936005223512073830746504042909546308675136496041577632265128957272228566492602720112552263851732907778772477076533428747267432629051423149060096649729013661255623245824 binary64)) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c (.f64 (.f64 c x) (.f64 s x))) s)) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c (.f64 (.f64 c (*.f64 s x)) s)) x))))
(if (<=.f64 x #s(literal 1350000000 binary64)) (/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 c (.f64 s x))) (.f64 c (.f64 s x))) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c (.f64 (.f64 c x) (.f64 s x))) s)))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -1959553324262937/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696 binary64)) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x))))) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 s x))) (.f64 c (.f64 s x)))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -1959553324262937/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696 binary64)) (/.f64 #s(approx (cos (* 2 x)) #s(approx (+ (* x (* x -2)) 1) (.f64 x (.f64 x #s(literal -2 binary64))))) (.f64 (.f64 c (.f64 (.f64 c x) (.f64 s x))) s)) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 s x))) (.f64 c (.f64 s x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 s x))) (.f64 c (.f64 s x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 s x)) (.f64 c (*.f64 s x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 (.f64 s x) (.f64 c (*.f64 s x))))))

Outputs
(if (<=.f64 c #s(literal 2594657776122209/27312187117075883106631072934794271937104930088205959824983071996985496526101020964951786294769886374883040913790702552866360531575272919369168306390347079868805765445689403631464768659094790245289840706092591521717005303961503585448607241732096 binary64)) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64))) (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x))) (.f64 c (*.f64 s x))))
(if (<=.f64 c #s(literal 2594657776122209/27312187117075883106631072934794271937104930088205959824983071996985496526101020964951786294769886374883040913790702552866360531575272919369168306390347079868805765445689403631464768659094790245289840706092591521717005303961503585448607241732096 binary64)) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 x s))) (.f64 c (*.f64 x s))))
(if (<=.f64 c #s(literal 8739899877464283/109248748468303532426524291739177087748419720352823839299932287987941986104404083859807145179079545499532163655162810211465442126301091677476673225561388319475223061782757614525859074636379160981159362824370366086868021215846014341794428966928384 binary64)) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 c s)) (.f64 x c)) s)) (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x))) (.f64 c (.f64 s x))))
(if (<=.f64 c #s(literal 8739899877464283/109248748468303532426524291739177087748419720352823839299932287987941986104404083859807145179079545499532163655162810211465442126301091677476673225561388319475223061782757614525859074636379160981159362824370366086868021215846014341794428966928384 binary64)) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 s (.f64 (.f64 x (.f64 c s)) (.f64 c x)))) (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 x s))) (.f64 c (.f64 x s))))
(if (<=.f64 c #s(literal 8739899877464283/109248748468303532426524291739177087748419720352823839299932287987941986104404083859807145179079545499532163655162810211465442126301091677476673225561388319475223061782757614525859074636379160981159362824370366086868021215846014341794428966928384 binary64)) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 c s)) (.f64 x c)) s)) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c (.f64 s x)) (.f64 c (.f64 s x)))))
(if (<=.f64 c #s(literal 8739899877464283/109248748468303532426524291739177087748419720352823839299932287987941986104404083859807145179079545499532163655162810211465442126301091677476673225561388319475223061782757614525859074636379160981159362824370366086868021215846014341794428966928384 binary64)) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 s (.f64 (.f64 x (.f64 c s)) (.f64 c x)))) (/.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 c (.f64 s x)) (.f64 c (.f64 s x))))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c (.f64 x s)) (.f64 c (.f64 x s))))
(if (<=.f64 x #s(literal 1350000000 binary64)) (/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 c (.f64 s x))) (.f64 c (.f64 s x))) (if (<=.f64 x #s(literal 250000000000000014118852755130210353710156595495764593675141291038864140991894549297304940397364995744942042336884090524141495161151730969326290036400819944854945985076015579954641059520647819229899897076325438318100462174073782272 binary64)) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c (.f64 (.f64 (.f64 x c) x) s)) s)) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x s) (.f64 c (.f64 x (*.f64 c s)))))))
(if (<=.f64 x #s(literal 1350000000 binary64)) (/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 c (.f64 x s))) (.f64 c (.f64 x s))) (if (<=.f64 x #s(literal 250000000000000014118852755130210353710156595495764593675141291038864140991894549297304940397364995744942042336884090524141495161151730969326290036400819944854945985076015579954641059520647819229899897076325438318100462174073782272 binary64)) (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c (.f64 s (.f64 x (.f64 c x)))))) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x s) (.f64 c (.f64 x (*.f64 c s)))))))
(if (<=.f64 x #s(literal 1350000000 binary64)) (/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 c (.f64 s x))) (.f64 c (.f64 s x))) (if (<=.f64 x #s(literal 250000000000000014118852755130210353710156595495764593675141291038864140991894549297304940397364995744942042336884090524141495161151730969326290036400819944854945985076015579954641059520647819229899897076325438318100462174073782272 binary64)) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c (.f64 (.f64 (.f64 x c) x) s)) s)) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c (.f64 (.f64 c (*.f64 s x)) s)) x))))
(if (<=.f64 x #s(literal 1350000000 binary64)) (/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 c (.f64 x s))) (.f64 c (.f64 x s))) (if (<=.f64 x #s(literal 250000000000000014118852755130210353710156595495764593675141291038864140991894549297304940397364995744942042336884090524141495161151730969326290036400819944854945985076015579954641059520647819229899897076325438318100462174073782272 binary64)) (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c (.f64 s (.f64 x (.f64 c x)))))) (/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 c (.f64 s (.f64 c (*.f64 x s))))))))
(if (<=.f64 x #s(literal 1350000000 binary64)) (/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 c (.f64 s x))) (.f64 c (.f64 s x))) (if (<=.f64 x #s(literal 220000000000000008977307760075843049559482674391951720179053642936005223512073830746504042909546308675136496041577632265128957272228566492602720112552263851732907778772477076533428747267432629051423149060096649729013661255623245824 binary64)) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c (.f64 (.f64 c x) (.f64 s x))) s)) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c (.f64 (.f64 c (*.f64 s x)) s)) x))))
(if (<=.f64 x #s(literal 1350000000 binary64)) (/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 c (.f64 x s))) (.f64 c (.f64 x s))) (if (<=.f64 x #s(literal 220000000000000008977307760075843049559482674391951720179053642936005223512073830746504042909546308675136496041577632265128957272228566492602720112552263851732907778772477076533428747267432629051423149060096649729013661255623245824 binary64)) (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c (.f64 (.f64 x s) (.f64 c x))))) (/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 c (.f64 s (.f64 c (*.f64 x s))))))))
(if (<=.f64 x #s(literal 1350000000 binary64)) (/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 c (.f64 s x))) (.f64 c (.f64 s x))) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c (.f64 (.f64 c x) (.f64 s x))) s)))
(if (<=.f64 x #s(literal 1350000000 binary64)) (/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 c (.f64 x s))) (.f64 c (.f64 x s))) (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c (.f64 (.f64 x s) (.f64 c x))))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -1959553324262937/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696 binary64)) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x))))) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 s x))) (.f64 c (.f64 s x)))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 x (.f64 x (pow.f64 s #s(literal 2 binary64)))))) #s(literal -1959553324262937/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696 binary64)) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x))))) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 x s))) (.f64 c (.f64 x s)))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -1959553324262937/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696 binary64)) (/.f64 #s(approx (cos (* 2 x)) #s(approx (+ (* x (* x -2)) 1) (.f64 x (.f64 x #s(literal -2 binary64))))) (.f64 (.f64 c (.f64 (.f64 c x) (.f64 s x))) s)) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 s x))) (.f64 c (.f64 s x)))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 x (.f64 x (pow.f64 s #s(literal 2 binary64)))))) #s(literal -1959553324262937/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696 binary64)) (/.f64 #s(approx (cos (* 2 x)) #s(approx (+ (* x (* x -2)) 1) (.f64 x (.f64 x #s(literal -2 binary64))))) (.f64 s (.f64 c (.f64 (.f64 x s) (.f64 c x))))) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 x s))) (.f64 c (.f64 x s)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 s x))) (.f64 c (.f64 s x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.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(literal 1 binary64) (.f64 (.f64 c (.f64 s x)) (.f64 c (*.f64 s x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 x s)) (.f64 c (*.f64 x s)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 (.f64 s x) (.f64 c (*.f64 s x))))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 (.f64 x s) (.f64 c (*.f64 x s))))))

soundness1.2s (12.2%)

Memory

10.5MiB live, 561.8MiB allocated

Rules

15 898×	`lower-fma.f64`
15 898×	`lower-fma.f32`
15 610×	`lower-fma.f64`
15 610×	`lower-fma.f32`
12 546×	`lower-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	319
0	94	277
1	296	245
0	1473	245
0	41	229
0	68	203
1	214	179
0	1013	179
0	65	7130
1	158	7130
2	466	7060
3	1868	7010
4	4595	6970
5	6795	6970
0	8046	6913
0	50	1476
1	117	1476
2	383	1462
3	1957	1452
4	4755	1444
5	6901	1444
0	8120	1432
0	42	250
0	69	220
1	221	192
0	1124	192
0	101	9380
1	251	9380
2	785	9290
3	3007	9190
4	5479	9178
0	8135	9058
0	12	49
0	20	49
1	55	49
2	217	45
3	1946	39
0	8396	39

Stop Event

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

Compiler

Compiled 2 868 to 1 095 computations (61.8% saved)

preprocess210.0ms (2.2%)

Memory: 18.9MiB live, 257.1MiB allocated
Remove: (abs x)
Compiler: Compiled 3 452 to 1 530 computations (55.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze134.0ms (1.4%)

sample1.6s (17.2%)

preprocess52.0ms (0.6%)

explain191.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify22.0ms (0.2%)

localize42.0ms (0.5%)

series19.0ms (0.2%)

simplify448.0ms (4.8%)

rewrite359.0ms (3.8%)

eval116.0ms (1.2%)

prune119.0ms (1.3%)

simplify103.0ms (1.1%)

localize212.0ms (2.3%)

series41.0ms (0.4%)

simplify550.0ms (5.8%)

rewrite93.0ms (1%)

eval258.0ms (2.7%)

prune135.0ms (1.4%)

simplify192.0ms (2%)

localize163.0ms (1.7%)

series42.0ms (0.4%)

simplify358.0ms (3.8%)

rewrite111.0ms (1.2%)

eval230.0ms (2.4%)

prune148.0ms (1.6%)

simplify38.0ms (0.4%)

localize131.0ms (1.4%)

series16.0ms (0.2%)

simplify421.0ms (4.5%)

rewrite86.0ms (0.9%)

eval145.0ms (1.5%)

prune141.0ms (1.5%)

regimes210.0ms (2.2%)

regimes103.0ms (1.1%)

regimes218.0ms (2.3%)

regimes87.0ms (0.9%)

regimes190.0ms (2%)

regimes19.0ms (0.2%)

regimes64.0ms (0.7%)

regimes18.0ms (0.2%)

regimes126.0ms (1.3%)

regimes46.0ms (0.5%)

regimes29.0ms (0.3%)

regimes71.0ms (0.8%)

regimes36.0ms (0.4%)

bsearch10.0ms (0.1%)

bsearch5.0ms (0.1%)

bsearch1.0ms (0%)

bsearch46.0ms (0.5%)

bsearch1.0ms (0%)

bsearch11.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify27.0ms (0.3%)

soundness1.2s (12.2%)

preprocess210.0ms (2.2%)

end0.0ms (0%)

Profiling