Metrics for mixedcos

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze136.0ms (1.2%)

Memory

18.1MiB live, 176.1MiB 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)

sample1.8s (15.9%)

Memory

35.4MiB live, 2 052.2MiB allocated

Samples

1.5s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-pow2: 451.0ms (42.4% of total)

ival-mult: 284.0ms (26.7% of total)

ival-cos: 259.0ms (24.3% of total)

ival-div: 53.0ms (5% of total)

ival-true: 7.0ms (0.7% of total)

exact: 5.0ms (0.5% of total)

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

Bogosity

explain180.0ms (1.6%)

Memory

-24.3MiB live, 206.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
60	0	-	60	(-2.932041924961032e-205 -1.0122404637357546e+126 6.6438797955521e-82)	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`
43	0	-	43	(2.801795093392311e+289 -158563900977.43756 4.314338907117405e-166)	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`
19	0	-	19	(2.643158734743933e-188 1.3616982229480695e-96 -1.8463560420613778e+292)	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`
2	138	(-2.977042912188292e+38 3.087193826548259e+152 1.3459924326338659e-35)	2	(-1.7033827393337318e+308 -3.544140002635461e-241 -1.1056366671845261e-253)	`(cos.f64 (*.f64 #s(literal 2 binary64) x))`
1	0	-	1	(-2.977042912188292e+38 3.087193826548259e+152 1.3459924326338659e-35)	`(/.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	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	137	0
`cos.f64`	`(cos.f64 (*.f64 #s(literal 2 binary64) x))`	cancelation	1	0

Confusion

	Predicted +	Predicted -
+	53	45
-	85	73

Precision

0.38405797101449274

Recall

0.5408163265306123

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	53	0	45
-	85	0	73

Precision?

0.38405797101449274

Recall?

0.5408163265306123

Freqs

test

number	freq
0	118
1	138

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

84.0ms

512×

valid

Compiler

Compiled 244 to 90 computations (63.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-mult: 30.0ms (46.5% of total)

ival-cos: 17.0ms (26.4% of total)

ival-pow2: 13.0ms (20.2% of total)

ival-div: 3.0ms (4.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess52.0ms (0.4%)

Memory

24.2MiB live, 59.1MiB allocated

Algorithm

1×	egg-herbie

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

Symmetry

(abs s)

(abs c)

(abs x)

(sort c s)

Compiler

Compiled 16 to 12 computations (25% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))

Compiler

Compiled 16 to 12 computations (25% saved)

simplify11.0ms (0.1%)

Memory

14.2MiB live, 14.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

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

localize57.0ms (0.5%)

Memory

-13.3MiB live, 72.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.4967472233559719	(cos.f64 (*.f64 #s(literal 2 binary64) x))
accuracy	3.6394212754799167	(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)
accuracy	8.54335355536209	(*.f64 x (pow.f64 s #s(literal 2 binary64)))
accuracy	15.665384241052585	(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))

Samples

45.0ms

256×

valid

Compiler

Compiled 114 to 26 computations (77.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 10.0ms (45.4% of total)

ival-cos: 6.0ms (27.2% of total)

ival-pow2: 4.0ms (18.1% of total)

ival-div: 2.0ms (9.1% of total)

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

exact: 0.0ms (0% of total)

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

series26.0ms (0.2%)

Memory

-16.9MiB live, 19.2MiB allocated

Counts

7 → 132

Calls

Call 1

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

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

9 calls:

Time	Variable		Point	Expression
11.0ms	c	@	0	((pow c 2) (pow s 2) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x))
2.0ms	x	@	0	((pow c 2) (pow s 2) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x))
2.0ms	s	@	0	((pow c 2) (pow s 2) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x))
2.0ms	s	@	inf	((pow c 2) (pow s 2) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x))
2.0ms	x	@	inf	((pow c 2) (pow s 2) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x))

simplify451.0ms (3.9%)

Memory

39.1MiB live, 302.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	864
1	57	864
2	139	864
3	377	864
4	702	864
5	842	864
6	951	864
7	1173	864
8	1608	864
9	2826	864
10	4762	864
11	5489	864
12	5636	864
13	5704	864
14	5768	864
15	5792	864
16	6462	864
17	6561	864
18	6571	864
19	6571	864
20	6571	864
21	7549	864
0	8009	858

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

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

rewrite231.0ms (2%)

Memory

-23.2MiB live, 253.0MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	36
0	18	36
1	44	36
2	127	34
3	682	30
4	7125	30
0	8660	30

Stop Event

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

Counts

7 → 478

Calls

Call 1

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

Outputs
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eval108.0ms (0.9%)

Memory: 36.4MiB live, 221.0MiB allocated
Compiler: Compiled 16 785 to 1 665 computations (90.1% saved)

prune38.0ms (0.3%)

Memory

9.2MiB live, 130.3MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	593	17	610
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	594	17	611

Accuracy

99.3%

Counts

611 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) (.f64 c c)))
	71.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 x s) x) (sqrt.f64 s)) (sqrt.f64 s))))
	71.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 (*.f64 x s) s) x)))
	80.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) c) c))
	80.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 x c) #s(literal 2 binary64)) (pow.f64 s #s(literal 3/2 binary64))) (sqrt.f64 s)))
	84.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (pow.f64 (*.f64 x c) #s(literal 2 binary64)) s) (sqrt.f64 s)) (sqrt.f64 s)))
	92.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 (.f64 x c) s) c) (*.f64 (sqrt.f64 s) x)) (sqrt.f64 s)))
	89.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 x c) s) c) (.f64 x s)))
▶	73.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 s s)) c) (.f64 x c)))
	79.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x s) x) (.f64 (.f64 s c) c)))
	76.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x c) (sqrt.f64 c)) (.f64 (.f64 (sqrt.f64 c) x) (*.f64 s s))))
	81.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x c) x) (.f64 (.f64 s c) s)))
	63.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x (.f64 s s)) (.f64 x (.f64 c c))))
▶	96.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x (.f64 s c)) (.f64 x (.f64 s c))))
▶	84.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) x) s) (*.f64 s c))))
▶	41.6%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
▶	56.3%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))

Compiler

Compiled 570 to 426 computations (25.3% saved)

simplify26.0ms (0.2%)

Memory

5.0MiB live, 43.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
cost-diff	6144	(pow.f64 s #s(literal 2 binary64))
cost-diff	6144	(pow.f64 c #s(literal 2 binary64))
cost-diff	0	(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))
cost-diff	0	#s(approx (cos (* 2 x)) #s(literal 1 binary64))
cost-diff	6144	(pow.f64 s #s(literal 2 binary64))
cost-diff	6144	(pow.f64 c #s(literal 2 binary64))
cost-diff	0	(.f64 (.f64 x (*.f64 s s)) c)
cost-diff	0	(.f64 (.f64 (.f64 x (.f64 s s)) c) (*.f64 x c))
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(cos.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff	0	#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) x) s) (*.f64 s c)))
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(cos.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff	0	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) x) s) (*.f64 s c))))
cost-diff	0	(.f64 x (.f64 s c))
cost-diff	0	(.f64 (.f64 x (.f64 s c)) (.f64 x (*.f64 s c)))
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(cos.f64 (*.f64 #s(literal 2 binary64) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	329
0	69	329
1	127	329
2	304	329
3	663	329
4	728	329
5	728	329
6	1105	329
7	1109	329
8	1109	329
0	1109	329

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

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

localize156.0ms (1.4%)

Memory

-49.5MiB live, 254.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	3.6394212754799167	(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)
accuracy	8.54335355536209	(*.f64 x (pow.f64 s #s(literal 2 binary64)))
accuracy	15.665384241052585	(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))
accuracy	34.15427705189525	#s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
accuracy	3.6394212754799167	(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)
accuracy	8.54335355536209	(*.f64 x (pow.f64 s #s(literal 2 binary64)))
accuracy	15.665384241052585	(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))
accuracy	30.980288576062566	#s(approx (cos (* 2 x)) #s(literal 1 binary64))
accuracy	0.4967472233559719	(cos.f64 (*.f64 #s(literal 2 binary64) x))
accuracy	3.612713058811934	(.f64 (.f64 (.f64 x (.f64 s s)) c) (*.f64 x c))
accuracy	8.316014503264473	(.f64 (.f64 x (*.f64 s s)) c)
accuracy	8.54335355536209	(.f64 x (.f64 s s))
accuracy	0.255581378488029	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) x) s) (*.f64 s c))))
accuracy	0.4967472233559719	(cos.f64 (*.f64 #s(literal 2 binary64) x))
accuracy	5.626614485496095	(.f64 (.f64 (*.f64 c x) x) s)
accuracy	6.380041489152807	(.f64 (.f64 (.f64 (.f64 c x) x) s) (*.f64 s c))
accuracy	0.2421875	(.f64 (.f64 x (.f64 s c)) (.f64 x (*.f64 s c)))
accuracy	0.255581378488029	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x (.f64 s c)) (.f64 x (.f64 s c))))
accuracy	0.4967472233559719	(cos.f64 (*.f64 #s(literal 2 binary64) x))
accuracy	5.269085300946174	(.f64 x (.f64 s c))

Samples

75.0ms

256×

valid

Compiler

Compiled 581 to 68 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 32.0ms (64.9% of total)

ival-cos: 7.0ms (14.2% of total)

ival-div: 4.0ms (8.1% of total)

ival-pow2: 4.0ms (8.1% of total)

ival-add: 1.0ms (2% of total)

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

exact: 0.0ms (0% of total)

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

series124.0ms (1.1%)

Memory

11.4MiB live, 117.6MiB allocated

Counts

20 → 516

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
51.0ms	s	@	-inf	((cos (* 2 x)) (* 2 x) (* (* x (* s c)) (* x (* s c))) (* x (* s c)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* x (* s s)) c) (* x c)) (* (* x (* s s)) c) (pow c 2) (pow s 2) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (cos (* 2 x)) (+ (* (* x x) -2) 1) (/ (cos (* 2 x)) (* (* x (* s c)) (* x (* s c)))) (* (* (* (* c x) x) s) (* s c)) (* (* (* c x) x) s) (* x (* s s)) (* x (pow s 2)) (* (* x (pow s 2)) x))
27.0ms	c	@	-inf	((cos (* 2 x)) (* 2 x) (* (* x (* s c)) (* x (* s c))) (* x (* s c)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* x (* s s)) c) (* x c)) (* (* x (* s s)) c) (pow c 2) (pow s 2) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (cos (* 2 x)) (+ (* (* x x) -2) 1) (/ (cos (* 2 x)) (* (* x (* s c)) (* x (* s c)))) (* (* (* (* c x) x) s) (* s c)) (* (* (* c x) x) s) (* x (* s s)) (* x (pow s 2)) (* (* x (pow s 2)) x))
6.0ms	c	@	0	((cos (* 2 x)) (* 2 x) (* (* x (* s c)) (* x (* s c))) (* x (* s c)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* x (* s s)) c) (* x c)) (* (* x (* s s)) c) (pow c 2) (pow s 2) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (cos (* 2 x)) (+ (* (* x x) -2) 1) (/ (cos (* 2 x)) (* (* x (* s c)) (* x (* s c)))) (* (* (* (* c x) x) s) (* s c)) (* (* (* c x) x) s) (* x (* s s)) (* x (pow s 2)) (* (* x (pow s 2)) x))
4.0ms	x	@	0	((cos (* 2 x)) (* 2 x) (* (* x (* s c)) (* x (* s c))) (* x (* s c)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* x (* s s)) c) (* x c)) (* (* x (* s s)) c) (pow c 2) (pow s 2) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (cos (* 2 x)) (+ (* (* x x) -2) 1) (/ (cos (* 2 x)) (* (* x (* s c)) (* x (* s c)))) (* (* (* (* c x) x) s) (* s c)) (* (* (* c x) x) s) (* x (* s s)) (* x (pow s 2)) (* (* x (pow s 2)) x))
4.0ms	x	@	-inf	((cos (* 2 x)) (* 2 x) (* (* x (* s c)) (* x (* s c))) (* x (* s c)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* x (* s s)) c) (* x c)) (* (* x (* s s)) c) (pow c 2) (pow s 2) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (cos (* 2 x)) (+ (* (* x x) -2) 1) (/ (cos (* 2 x)) (* (* x (* s c)) (* x (* s c)))) (* (* (* (* c x) x) s) (* s c)) (* (* (* c x) x) s) (* x (* s s)) (* x (pow s 2)) (* (* x (pow s 2)) x))

simplify175.0ms (1.5%)

Memory

29.1MiB live, 341.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	4766
1	137	4766
2	428	4738
3	1824	4718
4	4591	4702
5	6786	4702
0	8005	4663

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 516

Calls

Call 1

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

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

rewrite267.0ms (2.3%)

Memory

-41.6MiB live, 218.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	183
0	63	163
1	158	147
2	604	145
3	5169	145
0	8547	145

Stop Event

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

Counts

20 → 985

Calls

Call 1

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

Outputs
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eval252.0ms (2.2%)

Memory: 58.8MiB live, 354.0MiB allocated
Compiler: Compiled 37 936 to 2 674 computations (93% saved)

prune138.0ms (1.2%)

Memory

-4.5MiB live, 235.2MiB allocated

Pruning

39 alts after pruning (39 fresh and 0 done)

	Pruned	Kept	Total
New	1 935	35	1 970
Fresh	8	4	12
Picked	5	0	5
Done	0	0	0
Total	1 948	39	1 987

Accuracy

100.0%

Counts

1 987 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	85.7%	(/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 s x)) (*.f64 c x)) c) s)
	84.5%	(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) x) s) (*.f64 s c))))
	89.4%	(/.f64 (/.f64 (neg.f64 (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (.f64 (.f64 c s) x) x)) (*.f64 (neg.f64 s) c))
	80.2%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c)) c)
	73.2%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 (.f64 c c) x) s)) (*.f64 s x))
	67.3%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 s s) c)) (.f64 (*.f64 x x) c))
	96.6%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 c s) x)) (.f64 (*.f64 c s) x))
▶	91.7%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c x)) (.f64 (.f64 (*.f64 c s) x) s))
▶	96.8%	(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (.f64 (.f64 x (.f64 s c)) (.f64 x (*.f64 s c))))
	73.7%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 x (.f64 s s)) c) (*.f64 x c)))
	96.3%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x (.f64 s c)) (.f64 x (*.f64 s c))))
	84.7%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) x) s) (*.f64 s c))))
	92.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 (.f64 x c) s) c) (*.f64 (sqrt.f64 s) x)) (sqrt.f64 s)))
	89.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 x c) s) c) (.f64 x s)))
	77.8%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 s s) c) x) (.f64 x c)))
	91.8%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c s) x) s) (.f64 x c)))
	79.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x s) x) (.f64 (.f64 s c) c)))
	81.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x c) x) (.f64 (.f64 s c) s)))
	49.9%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 c c) x) s) (.f64 s x)))
	57.0%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 c s) x) (.f64 (.f64 c s) x)))
	57.0%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (neg.f64 s) (.f64 c x)) (.f64 (neg.f64 s) (.f64 c x))))
▶	65.5%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 (.f64 s x) s) x)))
	72.7%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c))
	65.6%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s) s))
	68.9%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x) x))
	72.7%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) (sqrt.f64 c)) (sqrt.f64 c)))
	71.5%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c s) x) x) (*.f64 c s)))
	72.7%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c s) x) s) (*.f64 c x)))
	62.2%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x (.f64 s s)) c) (*.f64 x c)))
	57.8%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) c) (.f64 (*.f64 s s) c)))
	65.7%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 s x) x) (.f64 (*.f64 c c) s)))
	75.6%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c s) x) (.f64 (*.f64 c s) x)))
▶	75.6%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 s) (.f64 c x)) (.f64 (neg.f64 s) (*.f64 c x))))
	56.6%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 s s) (.f64 c (.f64 (*.f64 x x) c))))
	67.4%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) x) s) (*.f64 s c))))
▶	63.0%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c c) x) (.f64 (*.f64 s x) s))))
	75.9%	(-.f64 (pow.f64 (/.f64 (cos.f64 x) (.f64 (.f64 c s) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (sin.f64 x) (.f64 (.f64 c s) x)) #s(literal 2 binary64)))
	61.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) c) (.f64 (*.f64 s c) s)))
	41.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c)) (*.f64 x x)))

Compiler

Compiled 1 270 to 926 computations (27.1% saved)

simplify98.0ms (0.9%)

Memory

-13.2MiB live, 82.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x #s(literal 2 binary64))
cost-diff	0	(cos.f64 (*.f64 x #s(literal 2 binary64)))
cost-diff	0	(/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c x))
cost-diff	0	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c x)) (.f64 (.f64 (*.f64 c s) x) s))
cost-diff	0	(.f64 (.f64 (*.f64 s x) s) x)
cost-diff	0	(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 (.f64 s x) s) x))
cost-diff	0	#s(approx (cos (* 2 x)) #s(literal 1 binary64))
cost-diff	6144	(pow.f64 c #s(literal 2 binary64))
cost-diff	0	(neg.f64 s)
cost-diff	0	(.f64 (neg.f64 s) (.f64 c x))
cost-diff	0	#s(approx (cos (* 2 x)) #s(literal 1 binary64))
cost-diff	256	(.f64 (.f64 (neg.f64 s) (.f64 c x)) (.f64 (neg.f64 s) (*.f64 c x)))
cost-diff	0	(.f64 (.f64 (.f64 c c) x) (.f64 (*.f64 s x) s))
cost-diff	0	#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c c) x) (.f64 (*.f64 s x) s)))
cost-diff	0	#s(approx (cos (* 2 x)) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c c) x) (.f64 (*.f64 s x) s))))
cost-diff	0	(pow.f64 (sin.f64 x) #s(literal 4 binary64))
cost-diff	0	(cos.f64 x)
cost-diff	0	(pow.f64 (cos.f64 x) #s(literal 4 binary64))
cost-diff	0	(-.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	320
0	77	320
1	158	316
2	444	316
3	1709	316
4	4050	316
0	8628	316

Stop Event

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

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (.f64 (.f64 x (.f64 s c)) (.f64 x (*.f64 s c))))
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) x) x) (.f64 c c)) (.f64 s s))
(-.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))
(pow.f64 (cos.f64 x) #s(literal 4 binary64))
(cos.f64 x)
x
#s(literal 4 binary64)
(pow.f64 (sin.f64 x) #s(literal 4 binary64))
(sin.f64 x)
(.f64 (.f64 x (.f64 s c)) (.f64 x (*.f64 s c)))
(.f64 (.f64 (.f64 (.f64 (*.f64 c s) x) x) s) c)
(.f64 x (.f64 s c))
(.f64 (.f64 c s) x)
(*.f64 s c)
(*.f64 c s)
s
c
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c c) x) (.f64 (*.f64 s x) s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 (*.f64 c s) x) x) s) c)))
#s(approx (cos (* 2 x)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c c) x) (.f64 (*.f64 s x) s)))
#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 (*.f64 c s) x) x) s) c))
(.f64 (.f64 (.f64 c c) x) (.f64 (*.f64 s x) s))
(.f64 (.f64 (.f64 (.f64 (*.f64 c s) x) x) s) c)
(.f64 (.f64 c c) x)
(*.f64 c c)
c
x
(.f64 (.f64 s x) s)
(*.f64 s x)
s
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 s) (.f64 c x)) (.f64 (neg.f64 s) (*.f64 c x))))
(/.f64 (/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) s) x) (.f64 (.f64 (*.f64 c c) s) x))
#s(approx (cos (* 2 x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (.f64 (neg.f64 s) (.f64 c x)) (.f64 (neg.f64 s) (*.f64 c x)))
(.f64 (.f64 (.f64 (.f64 (*.f64 c s) x) x) s) c)
(.f64 (neg.f64 s) (.f64 c x))
(.f64 (neg.f64 c) (.f64 s x))
(neg.f64 s)
s
(*.f64 c x)
c
x
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 (.f64 s x) s) x)))
(/.f64 (/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) s) x) (.f64 (.f64 (*.f64 c c) s) x))
#s(approx (cos (* 2 x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 (.f64 s x) s) x))
(.f64 (.f64 (.f64 (.f64 (*.f64 c s) x) x) s) c)
(pow.f64 c #s(literal 2 binary64))
(*.f64 c c)
c
#s(literal 2 binary64)
(.f64 (.f64 (*.f64 s x) s) x)
(.f64 (.f64 s x) s)
(*.f64 s x)
s
x
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c x)) (.f64 (.f64 (*.f64 c s) x) s))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c x)) (.f64 (.f64 (*.f64 s x) s) c))
(/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c x))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c x))
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
x
#s(literal 2 binary64)
(*.f64 c x)
c
(.f64 (.f64 (*.f64 c s) x) s)
(.f64 (.f64 (*.f64 s x) s) c)
(.f64 (.f64 c s) x)
(*.f64 c s)
s

localize189.0ms (1.6%)

Memory

2.5MiB live, 271.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.4967472233559719	(cos.f64 (*.f64 x #s(literal 2 binary64)))
accuracy	1.0336808760595309	(.f64 (.f64 (*.f64 c s) x) s)
accuracy	3.7813614378399554	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c x)) (.f64 (.f64 (*.f64 c s) x) s))
accuracy	5.269085300946174	(.f64 (.f64 c s) x)
accuracy	0.255581378488029	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 (.f64 s x) s) x)))
accuracy	3.6394212754799167	(.f64 (.f64 (*.f64 s x) s) x)
accuracy	15.665384241052585	(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 (.f64 s x) s) x))
accuracy	30.980288576062566	#s(approx (cos (* 2 x)) #s(literal 1 binary64))
accuracy	0.2421875	(.f64 (.f64 (neg.f64 s) (.f64 c x)) (.f64 (neg.f64 s) (*.f64 c x)))
accuracy	0.255581378488029	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 s) (.f64 c x)) (.f64 (neg.f64 s) (*.f64 c x))))
accuracy	3.4474638481816338	(.f64 (neg.f64 s) (.f64 c x))
accuracy	30.980288576062566	#s(approx (cos (* 2 x)) #s(literal 1 binary64))
accuracy	0.255581378488029	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c c) x) (.f64 (*.f64 s x) s))))
accuracy	8.733869542236404	(.f64 (.f64 c c) x)
accuracy	13.834455736302141	(.f64 (.f64 (.f64 c c) x) (.f64 (*.f64 s x) s))
accuracy	30.980288576062566	#s(approx (cos (* 2 x)) #s(literal 1 binary64))
accuracy	0.3076549234960394	(-.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))
accuracy	0.4865190430532608	(pow.f64 (cos.f64 x) #s(literal 4 binary64))
accuracy	0.5034715821270288	(pow.f64 (sin.f64 x) #s(literal 4 binary64))
accuracy	5.269085300946174	(.f64 x (.f64 s c))

Samples

134.0ms

256×

valid

Compiler

Compiled 560 to 84 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-mult: 54.0ms (53.1% of total)

ival-cos: 19.0ms (18.7% of total)

ival-div: 8.0ms (7.9% of total)

ival-pow: 8.0ms (7.9% of total)

ival-sin: 6.0ms (5.9% of total)

ival-pow2: 5.0ms (4.9% of total)

ival-sub: 1.0ms (1% of total)

ival-neg: 1.0ms (1% of total)

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

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

exact: 0.0ms (0% of total)

series100.0ms (0.9%)

Memory

6.8MiB live, 116.7MiB allocated

Counts

24 → 612

Calls

Call 1

Inputs
#s(alt (-.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (patch (-.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (patch (pow.f64 (cos.f64 x) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())
#s(alt (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (patch (pow.f64 (sin.f64 x) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c c) x) (.f64 (.f64 s x) s)))) (patch (/.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c c) x) (.f64 (*.f64 s x) s)))) #<representation binary64>) () ())
#s(alt #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (patch #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c c) x) (.f64 (.f64 s x) s))) (patch #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c c) x) (.f64 (*.f64 s x) s))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 c c) x) (.f64 (.f64 s x) s)) (patch (.f64 (.f64 (.f64 c c) x) (.f64 (.f64 s x) s)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (neg.f64 s) (.f64 c x)) (.f64 (neg.f64 s) (.f64 c x))) (patch (.f64 (.f64 (neg.f64 s) (.f64 c x)) (.f64 (neg.f64 s) (.f64 c x))) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 s) (.f64 c x)) (patch (.f64 (neg.f64 s) (.f64 c x)) #<representation binary64>) () ())
#s(alt (neg.f64 s) (patch (neg.f64 s) #<representation binary64>) () ())
#s(alt (pow.f64 c #s(literal 2 binary64)) (patch (pow.f64 c #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 (.f64 s x) s) x)) (patch (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 (.f64 s x) s) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 s x) s) x) (patch (.f64 (.f64 (.f64 s x) s) x) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c x)) (.f64 (.f64 (.f64 c s) x) s)) (patch (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c x)) (.f64 (.f64 (.f64 c s) x) s)) #<representation binary64>) () ())
#s(alt (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c x)) (patch (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c x)) #<representation binary64>) () ())
#s(alt (cos.f64 (.f64 x #s(literal 2 binary64))) (patch (cos.f64 (.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 s c)) (patch (.f64 x (.f64 s c)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 c c) x) (patch (.f64 (.f64 c c) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 s) (.f64 c x)) (.f64 (neg.f64 s) (.f64 c x)))) (patch (/.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 s) (.f64 c x)) (.f64 (neg.f64 s) (*.f64 c x)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 (.f64 s x) s) x))) (patch (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 (.f64 s x) s) x))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 c s) x) (patch (.f64 (.f64 c s) x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 c s) x) s) (patch (.f64 (.f64 (.f64 c s) x) s) #<representation binary64>) () ())

Outputs
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (patch (-.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 (pow x 2))) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (patch (-.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (patch (-.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (patch (-.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (patch (pow.f64 (cos.f64 x) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 (pow x 2))) (taylor 0 x) (#s(alt (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (patch (pow.f64 (cos.f64 x) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 5/3 (pow x 2)) 2))) (taylor 0 x) (#s(alt (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (patch (pow.f64 (cos.f64 x) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/3 (* -34/45 (pow x 2)))) 2))) (taylor 0 x) (#s(alt (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (patch (pow.f64 (cos.f64 x) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (patch (pow.f64 (sin.f64 x) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1 (* -2/3 (pow x 2)))) (taylor 0 x) (#s(alt (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (patch (pow.f64 (sin.f64 x) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1 (* (pow x 2) (- (* 1/5 (pow x 2)) 2/3)))) (taylor 0 x) (#s(alt (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (patch (pow.f64 (sin.f64 x) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/5 (* -34/945 (pow x 2)))) 2/3)))) (taylor 0 x) (#s(alt (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (patch (pow.f64 (sin.f64 x) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c c) x) (.f64 (.f64 s x) s)))) (patch (/.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c c) x) (.f64 (*.f64 s x) s)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c c) x) (.f64 (.f64 s x) s)))) (patch (/.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c c) x) (.f64 (*.f64 s x) s)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c c) x) (.f64 (.f64 s x) s)))) (patch (/.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c c) x) (.f64 (*.f64 s x) s)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c c) x) (.f64 (.f64 s x) s)))) (patch (/.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c c) x) (.f64 (*.f64 s x) s)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (patch #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (patch #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) (taylor 0 x) (#s(alt #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (patch #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) (taylor 0 x) (#s(alt #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (patch #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c c) x) (.f64 (.f64 s x) s))) (patch #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c c) x) (.f64 (*.f64 s x) s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c c) x) (.f64 (.f64 s x) s))) (patch #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c c) x) (.f64 (*.f64 s x) s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c c) x) (.f64 (.f64 s x) s))) (patch #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c c) x) (.f64 (*.f64 s x) s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c c) x) (.f64 (.f64 s x) s))) (patch #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c c) x) (.f64 (*.f64 s x) s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 c c) x) (.f64 (.f64 s x) s)) (patch (.f64 (.f64 (.f64 c c) x) (.f64 (.f64 s x) s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 c c) x) (.f64 (.f64 s x) s)) (patch (.f64 (.f64 (.f64 c c) x) (.f64 (.f64 s x) s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 c c) x) (.f64 (.f64 s x) s)) (patch (.f64 (.f64 (.f64 c c) x) (.f64 (.f64 s x) s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 c c) x) (.f64 (.f64 s x) s)) (patch (.f64 (.f64 (.f64 c c) x) (.f64 (.f64 s x) s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (.f64 (.f64 (neg.f64 s) (.f64 c x)) (.f64 (neg.f64 s) (.f64 c x))) (patch (.f64 (.f64 (neg.f64 s) (.f64 c x)) (.f64 (neg.f64 s) (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (.f64 (.f64 (neg.f64 s) (.f64 c x)) (.f64 (neg.f64 s) (.f64 c x))) (patch (.f64 (.f64 (neg.f64 s) (.f64 c x)) (.f64 (neg.f64 s) (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (.f64 (.f64 (neg.f64 s) (.f64 c x)) (.f64 (neg.f64 s) (.f64 c x))) (patch (.f64 (.f64 (neg.f64 s) (.f64 c x)) (.f64 (neg.f64 s) (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (.f64 (.f64 (neg.f64 s) (.f64 c x)) (.f64 (neg.f64 s) (.f64 c x))) (patch (.f64 (.f64 (neg.f64 s) (.f64 c x)) (.f64 (neg.f64 s) (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (* s x))) (taylor 0 x) (#s(alt (.f64 (neg.f64 s) (.f64 c x)) (patch (.f64 (neg.f64 s) (.f64 c x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (* s x))) (taylor 0 x) (#s(alt (.f64 (neg.f64 s) (.f64 c x)) (patch (.f64 (neg.f64 s) (.f64 c x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (* s x))) (taylor 0 x) (#s(alt (.f64 (neg.f64 s) (.f64 c x)) (patch (.f64 (neg.f64 s) (.f64 c x)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* c (* s x))) (taylor -inf c) (#s(alt (.f64 (neg.f64 s) (.f64 c x)) (patch (.f64 (neg.f64 s) (.f64 c x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (* s x))) (taylor -inf c) (#s(alt (.f64 (neg.f64 s) (.f64 c x)) (patch (.f64 (neg.f64 s) (.f64 c x)) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor -inf c) (#s(alt (pow.f64 c #s(literal 2 binary64)) (patch (pow.f64 c #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor -inf c) (#s(alt (pow.f64 c #s(literal 2 binary64)) (patch (pow.f64 c #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor -inf c) (#s(alt (pow.f64 c #s(literal 2 binary64)) (patch (pow.f64 c #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor -inf c) (#s(alt (pow.f64 c #s(literal 2 binary64)) (patch (pow.f64 c #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 (.f64 s x) s) x)) (patch (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 (.f64 s x) s) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 (.f64 s x) s) x)) (patch (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 (.f64 s x) s) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 (.f64 s x) s) x)) (patch (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 (.f64 s x) s) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 (.f64 s x) s) x)) (patch (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 (.f64 s x) s) x)) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c x)) (.f64 (.f64 (.f64 c s) x) s)) (patch (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c x)) (.f64 (.f64 (.f64 c s) x) s)) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c x)) (.f64 (.f64 (.f64 c s) x) s)) (patch (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c x)) (.f64 (.f64 (.f64 c s) x) s)) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c x)) (.f64 (.f64 (.f64 c s) x) s)) (patch (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c x)) (.f64 (.f64 (.f64 c s) x) s)) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c x)) (.f64 (.f64 (.f64 c s) x) s)) (patch (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c x)) (.f64 (.f64 (.f64 c s) x) s)) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* c x)) (taylor -inf c) (#s(alt (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c x)) (patch (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c x)) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* c x)) (taylor -inf c) (#s(alt (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c x)) (patch (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c x)) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* c x)) (taylor -inf c) (#s(alt (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c x)) (patch (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c x)) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* c x)) (taylor -inf c) (#s(alt (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c x)) (patch (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c x)) #<representation binary64>) () ())) ())
#s(alt (* c (* s x)) (taylor -inf c) (#s(alt (.f64 x (.f64 s c)) (patch (.f64 x (.f64 s c)) #<representation binary64>) () ())) ())
#s(alt (* c (* s x)) (taylor -inf c) (#s(alt (.f64 x (.f64 s c)) (patch (.f64 x (.f64 s c)) #<representation binary64>) () ())) ())
#s(alt (* c (* s x)) (taylor -inf c) (#s(alt (.f64 x (.f64 s c)) (patch (.f64 x (.f64 s c)) #<representation binary64>) () ())) ())
#s(alt (* c (* s x)) (taylor -inf c) (#s(alt (.f64 x (.f64 s c)) (patch (.f64 x (.f64 s c)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) x) (taylor -inf c) (#s(alt (.f64 (.f64 c c) x) (patch (.f64 (.f64 c c) x) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) x) (taylor -inf c) (#s(alt (.f64 (.f64 c c) x) (patch (.f64 (.f64 c c) x) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) x) (taylor -inf c) (#s(alt (.f64 (.f64 c c) x) (patch (.f64 (.f64 c c) x) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) x) (taylor -inf c) (#s(alt (.f64 (.f64 c c) x) (patch (.f64 (.f64 c c) x) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 s) (.f64 c x)) (.f64 (neg.f64 s) (.f64 c x)))) (patch (/.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 s) (.f64 c x)) (.f64 (neg.f64 s) (*.f64 c x)))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 s) (.f64 c x)) (.f64 (neg.f64 s) (.f64 c x)))) (patch (/.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 s) (.f64 c x)) (.f64 (neg.f64 s) (*.f64 c x)))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 s) (.f64 c x)) (.f64 (neg.f64 s) (.f64 c x)))) (patch (/.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 s) (.f64 c x)) (.f64 (neg.f64 s) (*.f64 c x)))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 s) (.f64 c x)) (.f64 (neg.f64 s) (.f64 c x)))) (patch (/.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 s) (.f64 c x)) (.f64 (neg.f64 s) (*.f64 c x)))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 (.f64 s x) s) x))) (patch (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 (.f64 s x) s) x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 (.f64 s x) s) x))) (patch (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 (.f64 s x) s) x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 (.f64 s x) s) x))) (patch (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 (.f64 s x) s) x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 (.f64 s x) s) x))) (patch (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 (.f64 s x) s) x))) #<representation binary64>) () ())) ())
#s(alt (* c (* s x)) (taylor -inf c) (#s(alt (.f64 (.f64 c s) x) (patch (.f64 (.f64 c s) x) #<representation binary64>) () ())) ())
#s(alt (* c (* s x)) (taylor -inf c) (#s(alt (.f64 (.f64 c s) x) (patch (.f64 (.f64 c s) x) #<representation binary64>) () ())) ())
#s(alt (* c (* s x)) (taylor -inf c) (#s(alt (.f64 (.f64 c s) x) (patch (.f64 (.f64 c s) x) #<representation binary64>) () ())) ())
#s(alt (* c (* s x)) (taylor -inf c) (#s(alt (.f64 (.f64 c s) x) (patch (.f64 (.f64 c s) x) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) x)) (taylor -inf c) (#s(alt (.f64 (.f64 (.f64 c s) x) s) (patch (.f64 (.f64 (.f64 c s) x) s) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) x)) (taylor -inf c) (#s(alt (.f64 (.f64 (.f64 c s) x) s) (patch (.f64 (.f64 (.f64 c s) x) s) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) x)) (taylor -inf c) (#s(alt (.f64 (.f64 (.f64 c s) x) s) (patch (.f64 (.f64 (.f64 c s) x) s) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) x)) (taylor -inf c) (#s(alt (.f64 (.f64 (.f64 c s) x) s) (patch (.f64 (.f64 (.f64 c s) x) s) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
30.0ms	x	@	inf	((- (pow (cos x) 4) (pow (sin x) 4)) (pow (cos x) 4) (cos x) (pow (sin x) 4) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* c c) x) (* (* s x) s)) (* (* (neg s) (* c x)) (* (neg s) (* c x))) (* (neg s) (* c x)) (neg s) (pow c 2) (* (pow c 2) (* (* (* s x) s) x)) (* (* (* s x) s) x) (/ (/ (cos (* x 2)) (* c x)) (* (* (* c s) x) s)) (/ (cos (* x 2)) (* c x)) (cos (* x 2)) (* x 2) (* x (* s c)) (* (* c c) x) (/ (cos (* 2 x)) (* (* (neg s) (* c x)) (* (neg s) (* c x)))) (/ (cos (* 2 x)) (* (pow c 2) (* (* (* s x) s) x))) (* (* c s) x) (* (* (* c s) x) s))
26.0ms	c	@	-inf	((- (pow (cos x) 4) (pow (sin x) 4)) (pow (cos x) 4) (cos x) (pow (sin x) 4) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* c c) x) (* (* s x) s)) (* (* (neg s) (* c x)) (* (neg s) (* c x))) (* (neg s) (* c x)) (neg s) (pow c 2) (* (pow c 2) (* (* (* s x) s) x)) (* (* (* s x) s) x) (/ (/ (cos (* x 2)) (* c x)) (* (* (* c s) x) s)) (/ (cos (* x 2)) (* c x)) (cos (* x 2)) (* x 2) (* x (* s c)) (* (* c c) x) (/ (cos (* 2 x)) (* (* (neg s) (* c x)) (* (neg s) (* c x)))) (/ (cos (* 2 x)) (* (pow c 2) (* (* (* s x) s) x))) (* (* c s) x) (* (* (* c s) x) s))
5.0ms	x	@	-inf	((- (pow (cos x) 4) (pow (sin x) 4)) (pow (cos x) 4) (cos x) (pow (sin x) 4) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* c c) x) (* (* s x) s)) (* (* (neg s) (* c x)) (* (neg s) (* c x))) (* (neg s) (* c x)) (neg s) (pow c 2) (* (pow c 2) (* (* (* s x) s) x)) (* (* (* s x) s) x) (/ (/ (cos (* x 2)) (* c x)) (* (* (* c s) x) s)) (/ (cos (* x 2)) (* c x)) (cos (* x 2)) (* x 2) (* x (* s c)) (* (* c c) x) (/ (cos (* 2 x)) (* (* (neg s) (* c x)) (* (neg s) (* c x)))) (/ (cos (* 2 x)) (* (pow c 2) (* (* (* s x) s) x))) (* (* c s) x) (* (* (* c s) x) s))
3.0ms	c	@	inf	((- (pow (cos x) 4) (pow (sin x) 4)) (pow (cos x) 4) (cos x) (pow (sin x) 4) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* c c) x) (* (* s x) s)) (* (* (neg s) (* c x)) (* (neg s) (* c x))) (* (neg s) (* c x)) (neg s) (pow c 2) (* (pow c 2) (* (* (* s x) s) x)) (* (* (* s x) s) x) (/ (/ (cos (* x 2)) (* c x)) (* (* (* c s) x) s)) (/ (cos (* x 2)) (* c x)) (cos (* x 2)) (* x 2) (* x (* s c)) (* (* c c) x) (/ (cos (* 2 x)) (* (* (neg s) (* c x)) (* (neg s) (* c x)))) (/ (cos (* 2 x)) (* (pow c 2) (* (* (* s x) s) x))) (* (* c s) x) (* (* (* c s) x) s))
3.0ms	x	@	0	((- (pow (cos x) 4) (pow (sin x) 4)) (pow (cos x) 4) (cos x) (pow (sin x) 4) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* c c) x) (* (* s x) s)) (* (* (neg s) (* c x)) (* (neg s) (* c x))) (* (neg s) (* c x)) (neg s) (pow c 2) (* (pow c 2) (* (* (* s x) s) x)) (* (* (* s x) s) x) (/ (/ (cos (* x 2)) (* c x)) (* (* (* c s) x) s)) (/ (cos (* x 2)) (* c x)) (cos (* x 2)) (* x 2) (* x (* s c)) (* (* c c) x) (/ (cos (* 2 x)) (* (* (neg s) (* c x)) (* (neg s) (* c x)))) (/ (cos (* 2 x)) (* (pow c 2) (* (* (* s x) s) x))) (* (* c s) x) (* (* (* c s) x) s))

simplify237.0ms (2.1%)

Memory

-20.4MiB live, 232.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	132	6086
1	316	6086
2	870	6028
3	2951	5986
4	6080	5980
0	8156	5914

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 612

Calls

Call 1

Inputs
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/3 (* -34/45 (pow x 2)))) 2)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(pow x 4)
(* (pow x 4) (+ 1 (* -2/3 (pow x 2))))
(* (pow x 4) (+ 1 (* (pow x 2) (- (* 1/5 (pow x 2)) 2/3))))
(* (pow x 4) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/5 (* -34/945 (pow x 2)))) 2/3))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (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 (* c (* s x)))
(* -1 (* c (* s x)))
(* -1 (* c (* s x)))
(* -1 (* c (* s x)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ 1 (* c x))
(/ (+ (* -2 (/ (pow x 2) c)) (/ 1 c)) x)
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) c)) (* 2 (/ 1 c)))) (/ 1 c)) x)
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) c)) (* 2/3 (/ 1 c)))) (* 2 (/ 1 c)))) (/ 1 c)) 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)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s 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))
(/ 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))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(- (pow (cos x) 4) (pow (sin x) 4))
(- (pow (cos x) 4) (pow (sin x) 4))
(- (pow (cos x) 4) (pow (sin x) 4))
(- (pow (cos x) 4) (pow (sin x) 4))
(pow (cos x) 4)
(pow (cos x) 4)
(pow (cos x) 4)
(pow (cos x) 4)
(cos x)
(cos x)
(cos x)
(cos x)
(pow (sin x) 4)
(pow (sin x) 4)
(pow (sin x) 4)
(pow (sin x) 4)
(/ (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))))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/3 (pow x 2)) 2)))
(fma.f64 (fma.f64 #s(literal 5/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/3 (* -34/45 (pow x 2)))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -34/45 binary64) (.f64 x x) #s(literal 5/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -2/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -2/3 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (* (pow x 2) (- (* 1/5 (pow x 2)) 2/3))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal -2/3 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/5 (* -34/945 (pow x 2)))) 2/3))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 #s(literal -34/945 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal -2/3 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s s) c))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (.f64 s c))) (.f64 x x))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (.f64 (/.f64 (/.f64 (/.f64 x s) c) c) (/.f64 x s)) (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (.f64 s c))) (.f64 x x))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (.f64 (.f64 (/.f64 (/.f64 (/.f64 x s) c) c) (/.f64 x s)) (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64))) (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (.f64 s c)))) (.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)
(* -1 (* c (* s x)))
(.f64 (.f64 (neg.f64 x) c) s)
(* -1 (* c (* s x)))
(.f64 (.f64 (neg.f64 x) c) s)
(* -1 (* c (* s x)))
(.f64 (.f64 (neg.f64 x) c) s)
(* -1 (* c (* s x)))
(.f64 (.f64 (neg.f64 x) c) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s s) c))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (.f64 s c))) (.f64 x x))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (.f64 (/.f64 (/.f64 (/.f64 x s) c) c) (/.f64 x s)) (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (.f64 s c))) (.f64 x x))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (.f64 (.f64 (/.f64 (/.f64 (/.f64 x s) c) c) (/.f64 x s)) (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64))) (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (.f64 s c)))) (.f64 x x))
(/ 1 (* c x))
(/.f64 #s(literal 1 binary64) (*.f64 c x))
(/ (+ (* -2 (/ (pow x 2) c)) (/ 1 c)) x)
(/.f64 (fma.f64 (/.f64 (*.f64 x x) c) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) c)) x)
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) c)) (* 2 (/ 1 c)))) (/ 1 c)) x)
(/.f64 (fma.f64 (/.f64 (.f64 x x) c) (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) c)) x)
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) c)) (* 2/3 (/ 1 c)))) (* 2 (/ 1 c)))) (/ 1 c)) x)
(/.f64 (fma.f64 (fma.f64 (/.f64 x c) (.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) (/.f64 #s(literal -2 binary64) c)) (*.f64 x x) (/.f64 #s(literal 1 binary64) c)) x)
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* 2 x)
(*.f64 #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 (.f64 s x) c)
(* c (* s x))
(.f64 (.f64 s x) c)
(* c (* s x))
(.f64 (.f64 s x) c)
(* c (* s x))
(.f64 (.f64 s x) c)
(* (pow c 2) x)
(.f64 (.f64 c x) c)
(* (pow c 2) x)
(.f64 (.f64 c x) c)
(* (pow c 2) x)
(.f64 (.f64 c x) c)
(* (pow c 2) x)
(.f64 (.f64 c x) c)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s s) c))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (.f64 s c))) (.f64 x x))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (.f64 (/.f64 (/.f64 (/.f64 x s) c) c) (/.f64 x s)) (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (.f64 s c))) (.f64 x x))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (.f64 (.f64 (/.f64 (/.f64 (/.f64 x s) c) c) (/.f64 x s)) (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64))) (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (.f64 s c)))) (.f64 x x))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s s) c))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (.f64 s c))) (.f64 x x))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (.f64 (/.f64 (/.f64 (/.f64 x s) c) c) (/.f64 x s)) (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (.f64 s c))) (.f64 x x))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (.f64 (.f64 (/.f64 (/.f64 (/.f64 x s) c) c) (/.f64 x s)) (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64))) (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (.f64 s c)))) (.f64 x x))
(* c (* s x))
(.f64 (.f64 s x) c)
(* c (* s x))
(.f64 (.f64 s x) c)
(* c (* s x))
(.f64 (.f64 s x) c)
(* c (* s x))
(.f64 (.f64 s x) c)
(* c (* (pow s 2) x))
(.f64 (.f64 (*.f64 s x) s) c)
(* c (* (pow s 2) x))
(.f64 (.f64 (*.f64 s x) s) c)
(* c (* (pow s 2) x))
(.f64 (.f64 (*.f64 s x) s) c)
(* c (* (pow s 2) x))
(.f64 (.f64 (*.f64 s x) s) c)
(- (pow (cos x) 4) (pow (sin x) 4))
(-.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))
(- (pow (cos x) 4) (pow (sin x) 4))
(-.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))
(- (pow (cos x) 4) (pow (sin x) 4))
(-.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))
(- (pow (cos x) 4) (pow (sin x) 4))
(-.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))
(pow (cos x) 4)
(pow.f64 (cos.f64 x) #s(literal 4 binary64))
(pow (cos x) 4)
(pow.f64 (cos.f64 x) #s(literal 4 binary64))
(pow (cos x) 4)
(pow.f64 (cos.f64 x) #s(literal 4 binary64))
(pow (cos x) 4)
(pow.f64 (cos.f64 x) #s(literal 4 binary64))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(pow (sin x) 4)
(pow.f64 (sin.f64 x) #s(literal 4 binary64))
(pow (sin x) 4)
(pow.f64 (sin.f64 x) #s(literal 4 binary64))
(pow (sin x) 4)
(pow.f64 (sin.f64 x) #s(literal 4 binary64))
(pow (sin x) 4)
(pow.f64 (sin.f64 x) #s(literal 4 binary64))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 s s)) (.f64 c x)) (.f64 c x))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 s s)) (.f64 c x)) (.f64 c x))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 s s)) (.f64 c x)) (.f64 c x))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 s s)) (.f64 c x)) (.f64 c 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 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)
(* -1 (* c (* s x)))
(.f64 (.f64 (neg.f64 x) c) s)
(* -1 (* c (* s x)))
(.f64 (.f64 (neg.f64 x) c) s)
(* -1 (* c (* s x)))
(.f64 (.f64 (neg.f64 x) c) s)
(* -1 (* c (* s x)))
(.f64 (.f64 (neg.f64 x) c) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 c x) c) x) s) s)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 s s)) (.f64 c x)) (.f64 c x))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 s s)) (.f64 c x)) (.f64 c x))
(/ (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 (.f64 (*.f64 s x) s) c)
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rewrite150.0ms (1.3%)

Memory

5.3MiB live, 276.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	222
0	73	217
1	209	191
2	1075	171
0	8602	171

Stop Event

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

Counts

24 → 1 422

Calls

Call 1

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

Outputs
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eval616.0ms (5.3%)

Memory: -70.4MiB live, 764.8MiB allocated
Compiler: Compiled 44 562 to 3 461 computations (92.2% saved)

prune224.0ms (1.9%)

Memory

-31.3MiB live, 347.9MiB allocated

Pruning

50 alts after pruning (49 fresh and 1 done)

	Pruned	Kept	Total
New	2 221	31	2 252
Fresh	16	18	34
Picked	4	1	5
Done	0	0	0
Total	2 241	50	2 291

Accuracy

100.0%

Counts

2 291 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
	85.7%	(/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 s x)) (*.f64 c x)) c) s)
	64.1%	(/.f64 (/.f64 (.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64)) (pow.f64 c #s(literal -2 binary64))) (.f64 (.f64 s x) s)) x)
	75.4%	(/.f64 (/.f64 (neg.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64))) (.f64 (.f64 s c) x)) (.f64 (.f64 (neg.f64 x) s) c))
	91.7%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c x)) (.f64 (.f64 (.f64 c s) x) s))
	73.2%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 (.f64 c c) x) s)) (*.f64 s x))
▶	96.6%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 c s) x)) (.f64 (*.f64 c s) x))
▶	53.3%	(/.f64 (/.f64 #s(approx (cos (* x 2)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 c x)) (.f64 (.f64 (*.f64 c s) x) s))
	72.7%	(/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (.f64 c x)) (.f64 (.f64 (.f64 c s) x) s))
	75.6%	(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 s c) x)) (.f64 (.f64 s c) x))
	95.4%	(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (.f64 (.f64 (.f64 c x) s) (.f64 x (*.f64 s c))))
	72.7%	(/.f64 (.f64 (/.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64)) c) #s(literal 1 binary64)) (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c))
	84.5%	(/.f64 (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) x)) (.f64 (.f64 (.f64 (.f64 (neg.f64 s) c) s) x) c))
	56.0%	(/.f64 (neg.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 c c) x))) (.f64 (.f64 (neg.f64 s) s) x))
	73.7%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 x (.f64 s s)) c) (*.f64 x c)))
	96.3%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x (.f64 s c)) (.f64 x (*.f64 s c))))
	84.7%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) x) s) (*.f64 s c))))
	89.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 x c) s) c) (.f64 x s)))
	77.8%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 s s) c) x) (.f64 x c)))
	91.8%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c s) x) s) (.f64 x c)))
	79.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x s) x) (.f64 (.f64 s c) c)))
▶	81.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x c) x) (.f64 (.f64 s c) s)))
	57.0%	(/.f64 #s(approx (- (pow (cos x) 4) (pow (sin x) 4)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 x (.f64 s c)) (.f64 x (.f64 s c))))
	75.6%	(/.f64 #s(approx (- (pow (cos x) 4) (pow (sin x) 4)) #s(literal 1 binary64)) (.f64 (.f64 x (.f64 s c)) (.f64 x (*.f64 s c))))
	49.9%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 c c) x) s) (.f64 s x)))
	63.6%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 s c) x)) (.f64 (neg.f64 s) (*.f64 c x))))
	71.0%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (neg.f64 x) s) c) (.f64 (.f64 c x) #s(literal -1 binary64))) s))
	72.7%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 s c) x) s) (*.f64 c x)))
	74.9%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 s c) x) c) (*.f64 s x)))
	71.5%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c s) x) x) (*.f64 c s)))
	75.6%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 s) (neg.f64 (sqrt.f64 s))) (.f64 c x)) (.f64 (neg.f64 s) (.f64 c x))))
	62.2%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x (.f64 s s)) c) (*.f64 x c)))
	57.8%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) c) (.f64 (*.f64 s s) c)))
	65.4%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c (sqrt.f64 c)) (sqrt.f64 c)) (.f64 (.f64 (.f64 s x) s) x)))
✓	75.6%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 s) (.f64 c x)) (.f64 (neg.f64 s) (*.f64 c x))))
	67.2%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 s (.f64 (.f64 (*.f64 c c) s) x)) x))
▶	59.3%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 s s) (.f64 (.f64 (neg.f64 x) c) (*.f64 (neg.f64 x) c))))
	56.6%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 s s) (.f64 c (.f64 (*.f64 x x) c))))
	65.5%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 c c) (.f64 (.f64 (*.f64 s x) s) x)))
	71.4%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 c (.f64 (.f64 (.f64 x (*.f64 (neg.f64 x) s)) c) (neg.f64 s))))
	67.3%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) (sqrt.f64 c)) (sqrt.f64 c)) (.f64 (.f64 s x) s))))
	67.4%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) x) s) (*.f64 s c))))
▶	67.3%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) c) (.f64 (*.f64 s x) s))))
	69.3%	(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 s) (/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 s c) x)) (*.f64 (neg.f64 x) c))))
	94.1%	(.f64 (pow.f64 (.f64 (.f64 (neg.f64 x) s) c) #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) x)))
	75.5%	(.f64 (/.f64 (neg.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64))) (.f64 (.f64 s c) x)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) x)))
	71.3%	(.f64 (/.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64)) (.f64 (neg.f64 s) c)) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (*.f64 s c) x)) x))
	70.7%	(.f64 (/.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64)) (.f64 (neg.f64 s) c)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 (neg.f64 x) s)) c)))
	95.1%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) x)) (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (*.f64 c x)) (neg.f64 s)))
	43.5%	#s(approx (/ (/ (cos (* x 2)) (* c x)) (* (* (* c s) x) s)) (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (.f64 s c))) (.f64 x x)))
	61.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) c) (.f64 (*.f64 s c) s)))

Compiler

Compiled 1 604 to 1 202 computations (25.1% saved)

simplify105.0ms (0.9%)

Memory

8.8MiB live, 116.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 x c) x)
cost-diff	0	(.f64 (.f64 (.f64 x c) x) (.f64 (*.f64 s c) s))
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(cos.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (cos (* x 2)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(approx (cos (* x 2)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 c x))
cost-diff	0	(/.f64 (/.f64 #s(approx (cos (* x 2)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 c x)) (.f64 (.f64 (*.f64 c s) x) s))
cost-diff	0	(*.f64 s s)
cost-diff	0	(.f64 (.f64 s s) (.f64 (.f64 (neg.f64 x) c) (*.f64 (neg.f64 x) c)))
cost-diff	0	#s(approx (cos (* 2 x)) #s(literal 1 binary64))
cost-diff	256	(.f64 (.f64 (neg.f64 x) c) (*.f64 (neg.f64 x) c))
cost-diff	0	(.f64 (.f64 (.f64 c x) c) (.f64 (*.f64 s x) s))
cost-diff	0	#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) c) (.f64 (*.f64 s x) s)))
cost-diff	0	#s(approx (cos (* 2 x)) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) c) (.f64 (*.f64 s x) s))))
cost-diff	0	(*.f64 x #s(literal 2 binary64))
cost-diff	0	(cos.f64 (*.f64 x #s(literal 2 binary64)))
cost-diff	0	(/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (*.f64 c s) x))
cost-diff	0	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 c s) x)) (.f64 (*.f64 c s) x))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	331
0	81	329
1	165	325
2	425	325
3	1517	325
4	2975	325
5	5368	325
6	7229	325
7	7787	325
0	8034	325

Stop Event

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

Calls

Call 1

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

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

localize134.0ms (1.2%)

Memory

-0.2MiB live, 240.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1171875	(.f64 (.f64 s c) s)
accuracy	0.255581378488029	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x c) x) (.f64 (.f64 s c) s)))
accuracy	0.4967472233559719	(cos.f64 (*.f64 #s(literal 2 binary64) x))
accuracy	11.849213316884546	(.f64 (.f64 (.f64 x c) x) (.f64 (*.f64 s c) s))
accuracy	1.0336808760595309	(.f64 (.f64 (*.f64 c s) x) s)
accuracy	3.7813614378399554	(/.f64 (/.f64 #s(approx (cos (* x 2)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 c x)) (.f64 (.f64 (*.f64 c s) x) s))
accuracy	5.269085300946174	(.f64 (.f64 c s) x)
accuracy	34.15427705189525	#s(approx (cos (* x 2)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
accuracy	0.255581378488029	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 s s) (.f64 (.f64 (neg.f64 x) c) (*.f64 (neg.f64 x) c))))
accuracy	0.258476269536884	(.f64 (.f64 (neg.f64 x) c) (*.f64 (neg.f64 x) c))
accuracy	15.57583619170945	(.f64 (.f64 s s) (.f64 (.f64 (neg.f64 x) c) (*.f64 (neg.f64 x) c)))
accuracy	30.980288576062566	#s(approx (cos (* 2 x)) #s(literal 1 binary64))
accuracy	0.1484375	(.f64 (.f64 s x) s)
accuracy	0.255581378488029	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) c) (.f64 (*.f64 s x) s))))
accuracy	13.834455736302141	(.f64 (.f64 (.f64 c x) c) (.f64 (*.f64 s x) s))
accuracy	30.980288576062566	#s(approx (cos (* 2 x)) #s(literal 1 binary64))
accuracy	0.1171875	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 c s) x)) (.f64 (*.f64 c s) x))
accuracy	0.48575163936048926	(/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (*.f64 c s) x))
accuracy	0.4967472233559719	(cos.f64 (*.f64 x #s(literal 2 binary64)))
accuracy	5.269085300946174	(.f64 (.f64 c s) x)

Samples

94.0ms

256×

valid

Compiler

Compiled 562 to 85 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-mult: 45.0ms (62.8% of total)

ival-cos: 11.0ms (15.4% of total)

ival-div: 9.0ms (12.6% of total)

ival-pow2: 4.0ms (5.6% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series67.0ms (0.6%)

Memory

-3.0MiB live, 125.7MiB allocated

Counts

25 → 648

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	c	@	0	((/ (/ (cos (* x 2)) (* (* c s) x)) (* (* c s) x)) (/ (cos (* x 2)) (* (* c s) x)) (cos (* x 2)) (* x 2) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* c x) c) (* (* s x) s)) (* (* (neg x) c) (* (neg x) c)) (* (* s s) (* (* (neg x) c) (* (neg x) c))) (* s s) (/ (/ (cos (* x 2)) (* c x)) (* (* (* c s) x) s)) (/ (cos (* x 2)) (* c x)) (cos (* x 2)) (+ (* (* x x) -2) 1) (cos (* 2 x)) (* 2 x) (* (* (* x c) x) (* (* s c) s)) (* (* x c) x) (* (* c s) x) (* (* s x) s) (/ (cos (* 2 x)) (* (* s s) (* (* (neg x) c) (* (neg x) c)))) (* (* (* c s) x) s) (/ (cos (* 2 x)) (* (* (* x c) x) (* (* s c) s))) (* (* s c) s))
8.0ms	c	@	-inf	((/ (/ (cos (* x 2)) (* (* c s) x)) (* (* c s) x)) (/ (cos (* x 2)) (* (* c s) x)) (cos (* x 2)) (* x 2) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* c x) c) (* (* s x) s)) (* (* (neg x) c) (* (neg x) c)) (* (* s s) (* (* (neg x) c) (* (neg x) c))) (* s s) (/ (/ (cos (* x 2)) (* c x)) (* (* (* c s) x) s)) (/ (cos (* x 2)) (* c x)) (cos (* x 2)) (+ (* (* x x) -2) 1) (cos (* 2 x)) (* 2 x) (* (* (* x c) x) (* (* s c) s)) (* (* x c) x) (* (* c s) x) (* (* s x) s) (/ (cos (* 2 x)) (* (* s s) (* (* (neg x) c) (* (neg x) c)))) (* (* (* c s) x) s) (/ (cos (* 2 x)) (* (* (* x c) x) (* (* s c) s))) (* (* s c) s))
4.0ms	x	@	-inf	((/ (/ (cos (* x 2)) (* (* c s) x)) (* (* c s) x)) (/ (cos (* x 2)) (* (* c s) x)) (cos (* x 2)) (* x 2) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* c x) c) (* (* s x) s)) (* (* (neg x) c) (* (neg x) c)) (* (* s s) (* (* (neg x) c) (* (neg x) c))) (* s s) (/ (/ (cos (* x 2)) (* c x)) (* (* (* c s) x) s)) (/ (cos (* x 2)) (* c x)) (cos (* x 2)) (+ (* (* x x) -2) 1) (cos (* 2 x)) (* 2 x) (* (* (* x c) x) (* (* s c) s)) (* (* x c) x) (* (* c s) x) (* (* s x) s) (/ (cos (* 2 x)) (* (* s s) (* (* (neg x) c) (* (neg x) c)))) (* (* (* c s) x) s) (/ (cos (* 2 x)) (* (* (* x c) x) (* (* s c) s))) (* (* s c) s))
4.0ms	x	@	inf	((/ (/ (cos (* x 2)) (* (* c s) x)) (* (* c s) x)) (/ (cos (* x 2)) (* (* c s) x)) (cos (* x 2)) (* x 2) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* c x) c) (* (* s x) s)) (* (* (neg x) c) (* (neg x) c)) (* (* s s) (* (* (neg x) c) (* (neg x) c))) (* s s) (/ (/ (cos (* x 2)) (* c x)) (* (* (* c s) x) s)) (/ (cos (* x 2)) (* c x)) (cos (* x 2)) (+ (* (* x x) -2) 1) (cos (* 2 x)) (* 2 x) (* (* (* x c) x) (* (* s c) s)) (* (* x c) x) (* (* c s) x) (* (* s x) s) (/ (cos (* 2 x)) (* (* s s) (* (* (neg x) c) (* (neg x) c)))) (* (* (* c s) x) s) (/ (cos (* 2 x)) (* (* (* x c) x) (* (* s c) s))) (* (* s c) s))
3.0ms	s	@	-inf	((/ (/ (cos (* x 2)) (* (* c s) x)) (* (* c s) x)) (/ (cos (* x 2)) (* (* c s) x)) (cos (* x 2)) (* x 2) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* c x) c) (* (* s x) s)) (* (* (neg x) c) (* (neg x) c)) (* (* s s) (* (* (neg x) c) (* (neg x) c))) (* s s) (/ (/ (cos (* x 2)) (* c x)) (* (* (* c s) x) s)) (/ (cos (* x 2)) (* c x)) (cos (* x 2)) (+ (* (* x x) -2) 1) (cos (* 2 x)) (* 2 x) (* (* (* x c) x) (* (* s c) s)) (* (* x c) x) (* (* c s) x) (* (* s x) s) (/ (cos (* 2 x)) (* (* s s) (* (* (neg x) c) (* (neg x) c)))) (* (* (* c s) x) s) (/ (cos (* 2 x)) (* (* (* x c) x) (* (* s c) s))) (* (* s c) s))

simplify207.0ms (1.8%)

Memory

21.9MiB live, 285.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	6890
1	247	6890
2	733	6812
3	2743	6756
4	4520	6756
0	8219	6681

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 648

Calls

Call 1

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

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

rewrite149.0ms (1.3%)

Memory

1.0MiB live, 244.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	264
0	81	256
1	245	213
2	1248	212
0	8616	212

Stop Event

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

Counts

25 → 1 618

Calls

Call 1

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

Outputs
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eval293.0ms (2.5%)

Memory: 0.0MiB live, 507.1MiB allocated
Compiler: Compiled 47 043 to 3 606 computations (92.3% saved)

prune242.0ms (2.1%)

Memory

-34.1MiB live, 317.9MiB allocated

Pruning

51 alts after pruning (49 fresh and 2 done)

	Pruned	Kept	Total
New	2 403	23	2 426
Fresh	18	26	44
Picked	4	1	5
Done	0	1	1
Total	2 425	51	2 476

Accuracy

100.0%

Counts

2 476 → 51

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.1%	(/.f64 (/.f64 (.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64)) (pow.f64 c #s(literal -2 binary64))) (.f64 (.f64 s x) s)) x)
	96.6%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c s) x)) (.f64 (.f64 c s) x))
	91.7%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c x)) (.f64 (.f64 (.f64 c s) x) s))
	55.4%	(/.f64 (/.f64 #s(approx (cos (* x 2)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 c s) x)) (.f64 (*.f64 c s) x))
	18.6%	(/.f64 (/.f64 #s(approx (cos (* x 2)) #s(approx (+ (* (* x x) -2) 1) (.f64 #s(literal -2 binary64) (.f64 x x)))) (.f64 c x)) (.f64 (.f64 (.f64 c s) x) s))
	72.7%	(/.f64 (/.f64 #s(approx (cos (* x 2)) #s(approx (+ (* (* x x) -2) 1) #s(literal 1 binary64))) (.f64 c x)) (.f64 (.f64 (.f64 c s) x) s))
	75.6%	(/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (.f64 (.f64 c s) x)) (.f64 (.f64 c s) x))
	45.3%	(/.f64 (/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 s c)) (.f64 (.f64 (*.f64 x x) c) s))
	95.4%	(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (.f64 (.f64 (.f64 c x) s) (.f64 x (*.f64 s c))))
	41.0%	(/.f64 (.f64 (/.f64 (/.f64 #s(approx (cos ( 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 c x)) x) #s(literal 1 binary64)) (.f64 (.f64 s s) c))
	72.7%	(/.f64 (.f64 (/.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64)) c) #s(literal 1 binary64)) (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c))
	84.5%	(/.f64 (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) x)) (.f64 (.f64 (.f64 (.f64 (neg.f64 s) c) s) x) c))
	56.0%	(/.f64 (neg.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 c c) x))) (.f64 (.f64 (neg.f64 s) s) x))
	73.7%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 x (.f64 s s)) c) (*.f64 x c)))
	81.2%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 x c) x) (.f64 (*.f64 s c) s)))
	96.3%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x (.f64 s c)) (.f64 x (*.f64 s c))))
	84.7%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) x) s) (*.f64 s c))))
	89.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 x c) s) c) (.f64 x s)))
	77.4%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s x) s) (.f64 (.f64 c x) c)))
	72.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x (.f64 (.f64 c x) c)) (.f64 s s)))
	75.6%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 s (.f64 (.f64 (.f64 x x) c) s)) c))
	79.6%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 s (.f64 (.f64 (.f64 c x) c) s)) x))
	75.4%	(/.f64 #s(approx (/ (cos (* x 2)) (* (* c s) x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x s) c))) (.f64 (.f64 c s) x))
	57.0%	(/.f64 #s(approx (- (pow (cos x) 4) (pow (sin x) 4)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 x (.f64 s c)) (.f64 x (.f64 s c))))
	75.6%	(/.f64 #s(approx (- (pow (cos x) 4) (pow (sin x) 4)) #s(literal 1 binary64)) (.f64 (.f64 x (.f64 s c)) (.f64 x (*.f64 s c))))
	49.9%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 c c) x) s) (.f64 s x)))
	63.6%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 s c) x)) (.f64 (neg.f64 s) (*.f64 c x))))
	71.9%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (*.f64 (neg.f64 x) c) s) s) (neg.f64 c)) x))
	71.0%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (neg.f64 x) s) c) (.f64 (.f64 c x) #s(literal -1 binary64))) s))
	75.3%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (neg.f64 x) c) s) (neg.f64 c)) (*.f64 s x)))
	74.9%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 s c) x) c) (*.f64 s x)))
	75.6%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 s) (neg.f64 (sqrt.f64 s))) (.f64 c x)) (.f64 (neg.f64 s) (.f64 c x))))
	62.2%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x (.f64 s s)) c) (*.f64 x c)))
	63.8%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x c) x) (.f64 (*.f64 s c) s)))
	59.3%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 s (sqrt.f64 s)) (sqrt.f64 s)) (.f64 (.f64 (neg.f64 x) c) (.f64 (neg.f64 x) c))))
✓	75.6%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 s) (.f64 c x)) (.f64 (neg.f64 s) (*.f64 c x))))
	64.9%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 s (.f64 (.f64 (*.f64 x x) c) s)) c))
	67.2%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 s (.f64 (.f64 (*.f64 c c) s) x)) x))
	66.0%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 s (.f64 (.f64 s x) x)) (*.f64 c c)))
	59.3%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 s s) (.f64 (.f64 c x) (*.f64 c x))))
	67.3%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) (sqrt.f64 c)) (sqrt.f64 c)) (.f64 (.f64 s x) s))))
	71.8%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s c) c) (.f64 (*.f64 x s) x))))
✓	67.3%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) c) (.f64 (*.f64 s x) s))))
	69.3%	(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 s) (/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 s c) x)) (*.f64 (neg.f64 x) c))))
	54.1%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 c x) #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)))) (.f64 (.f64 (.f64 (neg.f64 x) c) s) s)))
	75.5%	(.f64 (/.f64 (neg.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64))) (.f64 (.f64 s c) x)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) x)))
	71.3%	(.f64 (/.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64)) (.f64 (neg.f64 s) c)) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (*.f64 s c) x)) x))
	70.7%	(.f64 (/.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64)) (.f64 (neg.f64 s) c)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 (neg.f64 x) s)) c)))
	95.1%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) x)) (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (*.f64 c x)) (neg.f64 s)))
	80.0%	#s(approx (/ (/ (cos (* x 2)) (* (* c s) x)) (* (* c s) x)) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 x c) c)) (.f64 x s)) s))
	61.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) c) (.f64 (*.f64 s c) s)))

Compiler

Compiled 2 605 to 1 011 computations (61.2% saved)

regimes218.0ms (1.9%)

Memory

3.4MiB live, 199.2MiB allocated

Counts

107 → 2

Calls

Call 1

Inputs
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c c) x) (.f64 (*.f64 s x) s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) c) (.f64 (*.f64 s x) s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s c) c) (.f64 (*.f64 x s) x))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) x) s) (*.f64 s c))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 c c) (.f64 (.f64 (*.f64 s x) s) x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 s s) (.f64 c (.f64 (*.f64 x x) c))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 s s) (.f64 (.f64 c x) (*.f64 c x))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 s (.f64 (.f64 s x) x)) (*.f64 c c)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 s (.f64 (.f64 (*.f64 c c) s) x)) x))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 s (.f64 (.f64 (*.f64 x x) c) s)) c))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c s) x) (.f64 (*.f64 c s) x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 s x) x) (.f64 (*.f64 c c) s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x c) x) (.f64 (*.f64 s c) s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) c) (.f64 (*.f64 s s) c)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x (.f64 s s)) c) (*.f64 x c)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c s) x) s) (*.f64 c x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c s) x) x) (*.f64 c s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 s c) x) c) (*.f64 s x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 s c) x) s) (*.f64 c x)))
(/.f64 #s(approx (- (pow (cos x) 4) (pow (sin x) 4)) #s(literal 1 binary64)) (.f64 (.f64 x (.f64 s c)) (.f64 x (*.f64 s c))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 c (.f64 (.f64 (.f64 x (*.f64 (neg.f64 x) s)) c) (neg.f64 s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 s s) (.f64 (.f64 (neg.f64 x) c) (*.f64 (neg.f64 x) c))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 s) (.f64 c x)) (.f64 (neg.f64 s) (*.f64 c x))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (neg.f64 x) c) s) (neg.f64 c)) (*.f64 s x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (*.f64 (neg.f64 x) c) s) s) (neg.f64 c)) x))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 s c) x)) (.f64 (neg.f64 s) (*.f64 c x))))
(/.f64 #s(approx (/ (cos (* x 2)) (* (* c s) x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x s) c))) (.f64 (.f64 c s) x))
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 s c) x)) (.f64 (.f64 s c) x))
(/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (.f64 c x)) (.f64 (.f64 (.f64 c s) x) s))
(/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (.f64 (.f64 c s) x)) (.f64 (.f64 c s) x))
(/.f64 (/.f64 #s(approx (cos (* x 2)) #s(approx (+ (* (* x x) -2) 1) #s(literal 1 binary64))) (.f64 c x)) (.f64 (.f64 (.f64 c s) x) s))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (neg.f64 x) s) c) (.f64 (.f64 c x) #s(literal -1 binary64))) s))
(/.f64 (neg.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 c c) x))) (.f64 (.f64 (neg.f64 s) s) x))
(/.f64 (/.f64 (neg.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64))) (.f64 (.f64 s c) x)) (.f64 (.f64 (neg.f64 x) s) c))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 c s) x) (.f64 (.f64 c s) x)))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 c c) x) s) (.f64 s x)))
(/.f64 #s(approx (- (pow (cos x) 4) (pow (sin x) 4)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 x (.f64 s c)) (.f64 x (.f64 s c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) c) (.f64 (*.f64 s c) s)))
(.f64 (/.f64 (neg.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64))) (.f64 (.f64 s c) x)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) x)))
(.f64 (/.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64)) (.f64 (neg.f64 s) c)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 (neg.f64 x) s)) c)))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (neg.f64 s) (.f64 c x)) (.f64 (neg.f64 s) (.f64 c x))))
(/.f64 (/.f64 #s(approx (cos (* x 2)) #s(approx (+ (* (* x x) -2) 1) (.f64 #s(literal -2 binary64) (.f64 x x)))) (.f64 c x)) (.f64 (.f64 (.f64 c s) x) s))
(/.f64 (/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 s c)) (.f64 (.f64 (*.f64 x x) c) s))
(/.f64 (/.f64 #s(approx (cos (* x 2)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 c s) x)) (.f64 (*.f64 c s) x))
(/.f64 (/.f64 #s(approx (cos (* x 2)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 c x)) (.f64 (.f64 (*.f64 c s) x) s))
(.f64 (/.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64)) (.f64 (neg.f64 s) c)) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (*.f64 s c) x)) x))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 c x) #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)))) (.f64 (.f64 (.f64 (neg.f64 x) c) s) s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) (sqrt.f64 c)) (sqrt.f64 c)) (.f64 (.f64 s x) s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c (sqrt.f64 c)) (sqrt.f64 c)) (.f64 (.f64 (.f64 s x) s) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 s) (/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 s c) x)) (*.f64 (neg.f64 x) c))))
(/.f64 (.f64 (/.f64 (/.f64 #s(approx (cos ( 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 c x)) x) #s(literal 1 binary64)) (.f64 (.f64 s s) c))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 s (sqrt.f64 s)) (sqrt.f64 s)) (.f64 (.f64 (neg.f64 x) c) (.f64 (neg.f64 x) c))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 s) (neg.f64 (sqrt.f64 s))) (.f64 c x)) (.f64 (neg.f64 s) (.f64 c x))))
#s(approx (/ (/ (cos (* x 2)) (* c x)) (* (* (* c s) x) s)) (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (.f64 s c))) (.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c)) (*.f64 x x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x) x))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s) s))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 (.f64 s x) s) x)))
(/.f64 (.f64 (/.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64)) c) #s(literal 1 binary64)) (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c))
(/.f64 (/.f64 (.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64)) (pow.f64 c #s(literal -2 binary64))) (.f64 (.f64 s x) s)) x)
(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) x) s) (*.f64 s c))))
(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x (.f64 s c)) (.f64 x (*.f64 s c))))
(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 x c) x) (.f64 (*.f64 s c) s)))
(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 x (.f64 s s)) c) (*.f64 x c)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) x) s) (*.f64 s c))))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 s (.f64 (.f64 (.f64 c x) c) s)) x))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 s (.f64 (.f64 (.f64 x x) c) s)) c))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x (.f64 s c)) (.f64 x (.f64 s c))))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x (.f64 s s)) (.f64 x (.f64 c c))))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x (.f64 (.f64 c x) c)) (.f64 s s)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s x) s) (.f64 (.f64 c x) c)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x c) x) (.f64 (.f64 s c) s)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x s) x) (.f64 (.f64 s c) c)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 s s)) c) (.f64 x c)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c s) x) s) (.f64 x c)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 s s) c) x) (.f64 x c)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 x c) s) c) (.f64 x s)))
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c x)) (.f64 (.f64 (.f64 c s) x) s))
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c s) x)) (.f64 (.f64 c s) x))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c x)) (.f64 (.f64 (*.f64 c s) x) s))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 c s) x)) (.f64 (*.f64 c s) x))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 s s) c)) (.f64 (*.f64 x x) c))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 (.f64 c c) x) s)) (*.f64 s x))
(/.f64 (/.f64 (neg.f64 (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (.f64 (.f64 c s) x) x)) (*.f64 (neg.f64 s) c))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) (sqrt.f64 c)) (sqrt.f64 c)))
#s(approx (/ (/ (cos (* x 2)) (* (* c s) x)) (* (* c s) x)) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 x c) c)) (.f64 x s)) s))
(/.f64 (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) x)) (.f64 (.f64 (.f64 (.f64 (neg.f64 s) c) s) x) c))
(/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 s x)) (*.f64 c x)) c) s)
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) x)) (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (*.f64 c x)) (neg.f64 s)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x c) (sqrt.f64 c)) (.f64 (.f64 (sqrt.f64 c) x) (*.f64 s s))))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 (.f64 x c) s) c) (*.f64 (sqrt.f64 s) x)) (sqrt.f64 s)))
(.f64 (pow.f64 (.f64 (.f64 (neg.f64 x) s) c) #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) c) c))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) (.f64 c c)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 (*.f64 x s) s) x)))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c)) c)
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (pow.f64 (*.f64 x c) #s(literal 2 binary64)) s) (sqrt.f64 s)) (sqrt.f64 s)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 x s) x) (sqrt.f64 s)) (sqrt.f64 s))))
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) x) s) (*.f64 s c))))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 x c) #s(literal 2 binary64)) (pow.f64 s #s(literal 3/2 binary64))) (sqrt.f64 s)))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (.f64 (.f64 x (.f64 s c)) (.f64 x (*.f64 s c))))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (.f64 (.f64 (.f64 c x) s) (.f64 x (*.f64 s c))))
(-.f64 (pow.f64 (/.f64 (cos.f64 x) (.f64 (.f64 c s) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (sin.f64 x) (.f64 (.f64 c s) x)) #s(literal 2 binary64)))

Outputs

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

(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 x (*.f64 s c))))

Calls

6 calls:

38.0ms	s
33.0ms	c
32.0ms	(/.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)))
32.0ms	(pow.f64 s #s(literal 2 binary64))
29.0ms	x

Results

Accuracy	Segments	Branch
98.6%	2	`x`
98.7%	2	`c`
96.8%	1	`s`
99.0%	2	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
98.6%	2	`(pow.f64 c #s(literal 2 binary64))`
96.8%	1	`(pow.f64 s #s(literal 2 binary64))`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes177.0ms (1.5%)

Memory

7.4MiB live, 88.8MiB allocated

Counts

104 → 2

Calls

Call 1

Inputs
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c c) x) (.f64 (*.f64 s x) s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) c) (.f64 (*.f64 s x) s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s c) c) (.f64 (*.f64 x s) x))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) x) s) (*.f64 s c))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 c c) (.f64 (.f64 (*.f64 s x) s) x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 s s) (.f64 c (.f64 (*.f64 x x) c))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 s s) (.f64 (.f64 c x) (*.f64 c x))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 s (.f64 (.f64 s x) x)) (*.f64 c c)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 s (.f64 (.f64 (*.f64 c c) s) x)) x))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 s (.f64 (.f64 (*.f64 x x) c) s)) c))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c s) x) (.f64 (*.f64 c s) x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 s x) x) (.f64 (*.f64 c c) s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x c) x) (.f64 (*.f64 s c) s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) c) (.f64 (*.f64 s s) c)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x (.f64 s s)) c) (*.f64 x c)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c s) x) s) (*.f64 c x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c s) x) x) (*.f64 c s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 s c) x) c) (*.f64 s x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 s c) x) s) (*.f64 c x)))
(/.f64 #s(approx (- (pow (cos x) 4) (pow (sin x) 4)) #s(literal 1 binary64)) (.f64 (.f64 x (.f64 s c)) (.f64 x (*.f64 s c))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 c (.f64 (.f64 (.f64 x (*.f64 (neg.f64 x) s)) c) (neg.f64 s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 s s) (.f64 (.f64 (neg.f64 x) c) (*.f64 (neg.f64 x) c))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 s) (.f64 c x)) (.f64 (neg.f64 s) (*.f64 c x))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (neg.f64 x) c) s) (neg.f64 c)) (*.f64 s x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (*.f64 (neg.f64 x) c) s) s) (neg.f64 c)) x))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 s c) x)) (.f64 (neg.f64 s) (*.f64 c x))))
(/.f64 #s(approx (/ (cos (* x 2)) (* (* c s) x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x s) c))) (.f64 (.f64 c s) x))
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 s c) x)) (.f64 (.f64 s c) x))
(/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (.f64 c x)) (.f64 (.f64 (.f64 c s) x) s))
(/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (.f64 (.f64 c s) x)) (.f64 (.f64 c s) x))
(/.f64 (/.f64 #s(approx (cos (* x 2)) #s(approx (+ (* (* x x) -2) 1) #s(literal 1 binary64))) (.f64 c x)) (.f64 (.f64 (.f64 c s) x) s))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (neg.f64 x) s) c) (.f64 (.f64 c x) #s(literal -1 binary64))) s))
(/.f64 (neg.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 c c) x))) (.f64 (.f64 (neg.f64 s) s) x))
(/.f64 (/.f64 (neg.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64))) (.f64 (.f64 s c) x)) (.f64 (.f64 (neg.f64 x) s) c))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 c s) x) (.f64 (.f64 c s) x)))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 c c) x) s) (.f64 s x)))
(/.f64 #s(approx (- (pow (cos x) 4) (pow (sin x) 4)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 x (.f64 s c)) (.f64 x (.f64 s c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) c) (.f64 (*.f64 s c) s)))
(.f64 (/.f64 (neg.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64))) (.f64 (.f64 s c) x)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) x)))
(.f64 (/.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64)) (.f64 (neg.f64 s) c)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 (neg.f64 x) s)) c)))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (neg.f64 s) (.f64 c x)) (.f64 (neg.f64 s) (.f64 c x))))
(/.f64 (/.f64 #s(approx (cos (* x 2)) #s(approx (+ (* (* x x) -2) 1) (.f64 #s(literal -2 binary64) (.f64 x x)))) (.f64 c x)) (.f64 (.f64 (.f64 c s) x) s))
(/.f64 (/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 s c)) (.f64 (.f64 (*.f64 x x) c) s))
(/.f64 (/.f64 #s(approx (cos (* x 2)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 c s) x)) (.f64 (*.f64 c s) x))
(/.f64 (/.f64 #s(approx (cos (* x 2)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 c x)) (.f64 (.f64 (*.f64 c s) x) s))
(.f64 (/.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64)) (.f64 (neg.f64 s) c)) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (*.f64 s c) x)) x))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 c x) #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)))) (.f64 (.f64 (.f64 (neg.f64 x) c) s) s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) (sqrt.f64 c)) (sqrt.f64 c)) (.f64 (.f64 s x) s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c (sqrt.f64 c)) (sqrt.f64 c)) (.f64 (.f64 (.f64 s x) s) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 s) (/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 s c) x)) (*.f64 (neg.f64 x) c))))
(/.f64 (.f64 (/.f64 (/.f64 #s(approx (cos ( 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 c x)) x) #s(literal 1 binary64)) (.f64 (.f64 s s) c))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 s (sqrt.f64 s)) (sqrt.f64 s)) (.f64 (.f64 (neg.f64 x) c) (.f64 (neg.f64 x) c))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 s) (neg.f64 (sqrt.f64 s))) (.f64 c x)) (.f64 (neg.f64 s) (.f64 c x))))
#s(approx (/ (/ (cos (* x 2)) (* c x)) (* (* (* c s) x) s)) (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (.f64 s c))) (.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c)) (*.f64 x x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x) x))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s) s))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 (.f64 s x) s) x)))
(/.f64 (.f64 (/.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64)) c) #s(literal 1 binary64)) (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c))
(/.f64 (/.f64 (.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64)) (pow.f64 c #s(literal -2 binary64))) (.f64 (.f64 s x) s)) x)
(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) x) s) (*.f64 s c))))
(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x (.f64 s c)) (.f64 x (*.f64 s c))))
(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 x c) x) (.f64 (*.f64 s c) s)))
(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 x (.f64 s s)) c) (*.f64 x c)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) x) s) (*.f64 s c))))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 s (.f64 (.f64 (.f64 c x) c) s)) x))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 s (.f64 (.f64 (.f64 x x) c) s)) c))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x (.f64 s c)) (.f64 x (.f64 s c))))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x (.f64 s s)) (.f64 x (.f64 c c))))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x (.f64 (.f64 c x) c)) (.f64 s s)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s x) s) (.f64 (.f64 c x) c)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x c) x) (.f64 (.f64 s c) s)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x s) x) (.f64 (.f64 s c) c)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 s s)) c) (.f64 x c)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c s) x) s) (.f64 x c)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 s s) c) x) (.f64 x c)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 x c) s) c) (.f64 x s)))
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c x)) (.f64 (.f64 (.f64 c s) x) s))
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c s) x)) (.f64 (.f64 c s) x))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c x)) (.f64 (.f64 (*.f64 c s) x) s))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 c s) x)) (.f64 (*.f64 c s) x))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 s s) c)) (.f64 (*.f64 x x) c))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 (.f64 c c) x) s)) (*.f64 s x))
(/.f64 (/.f64 (neg.f64 (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (.f64 (.f64 c s) x) x)) (*.f64 (neg.f64 s) c))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) (sqrt.f64 c)) (sqrt.f64 c)))
#s(approx (/ (/ (cos (* x 2)) (* (* c s) x)) (* (* c s) x)) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 x c) c)) (.f64 x s)) s))
(/.f64 (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) x)) (.f64 (.f64 (.f64 (.f64 (neg.f64 s) c) s) x) c))
(/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 s x)) (*.f64 c x)) c) s)
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) x)) (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (*.f64 c x)) (neg.f64 s)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x c) (sqrt.f64 c)) (.f64 (.f64 (sqrt.f64 c) x) (*.f64 s s))))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 (.f64 x c) s) c) (*.f64 (sqrt.f64 s) x)) (sqrt.f64 s)))
(.f64 (pow.f64 (.f64 (.f64 (neg.f64 x) s) c) #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) c) c))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) (.f64 c c)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 (*.f64 x s) s) x)))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c)) c)
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (pow.f64 (*.f64 x c) #s(literal 2 binary64)) s) (sqrt.f64 s)) (sqrt.f64 s)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 x s) x) (sqrt.f64 s)) (sqrt.f64 s))))
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) x) s) (*.f64 s c))))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 x c) #s(literal 2 binary64)) (pow.f64 s #s(literal 3/2 binary64))) (sqrt.f64 s)))

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

Calls

4 calls:

75.0ms	c
46.0ms	(pow.f64 c #s(literal 2 binary64))
28.0ms	x
23.0ms	(/.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
96.6%	1	`(pow.f64 c #s(literal 2 binary64))`
96.6%	1	`x`
96.6%	1	`c`
98.4%	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 21 to 23 computations (-9.5% saved)

regimes258.0ms (2.2%)

Memory

1.9MiB live, 123.3MiB allocated

Counts

92 → 1

Calls

Call 1

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

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

Calls

6 calls:

71.0ms	(pow.f64 c #s(literal 2 binary64))
66.0ms	(pow.f64 s #s(literal 2 binary64))
46.0ms	x
25.0ms	s
25.0ms	c

Results

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

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes143.0ms (1.2%)

Memory

24.1MiB live, 101.1MiB allocated

Counts

79 → 1

Calls

Call 1

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

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

Calls

6 calls:

35.0ms	c
23.0ms	(pow.f64 c #s(literal 2 binary64))
22.0ms	s
21.0ms	x
20.0ms	(pow.f64 s #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
96.3%	1	`x`
96.3%	1	`c`
96.3%	1	`s`
96.3%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
96.3%	1	`(pow.f64 c #s(literal 2 binary64))`
96.3%	1	`(pow.f64 s #s(literal 2 binary64))`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes142.0ms (1.2%)

Memory

0.2MiB live, 84.7MiB allocated

Counts

62 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

41.0ms	s
32.0ms	(pow.f64 c #s(literal 2 binary64))
17.0ms	x
17.0ms	c
16.0ms	(pow.f64 s #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
86.6%	2	`(pow.f64 s #s(literal 2 binary64))`
92.5%	2	`x`
87.0%	2	`s`
89.9%	2	`c`
88.1%	3	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
89.9%	2	`(pow.f64 c #s(literal 2 binary64))`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes163.0ms (1.4%)

Memory

-29.4MiB live, 88.7MiB allocated

Counts

61 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

50.0ms	(/.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)))
36.0ms	s
17.0ms	x
17.0ms	c
16.0ms	(pow.f64 s #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
78.9%	2	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
75.6%	1	`(pow.f64 s #s(literal 2 binary64))`
75.6%	1	`s`
75.6%	1	`c`
75.6%	1	`(pow.f64 c #s(literal 2 binary64))`
77.2%	2	`x`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes10.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated

Counts

34 → 2

Calls

Call 1

Inputs
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c c) x) (.f64 (*.f64 s x) s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) c) (.f64 (*.f64 s x) s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s c) c) (.f64 (*.f64 x s) x))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) x) s) (*.f64 s c))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 c c) (.f64 (.f64 (*.f64 s x) s) x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 s s) (.f64 c (.f64 (*.f64 x x) c))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 s s) (.f64 (.f64 c x) (*.f64 c x))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 s (.f64 (.f64 s x) x)) (*.f64 c c)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 s (.f64 (.f64 (*.f64 c c) s) x)) x))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 s (.f64 (.f64 (*.f64 x x) c) s)) c))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c s) x) (.f64 (*.f64 c s) x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 s x) x) (.f64 (*.f64 c c) s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x c) x) (.f64 (*.f64 s c) s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) c) (.f64 (*.f64 s s) c)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x (.f64 s s)) c) (*.f64 x c)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c s) x) s) (*.f64 c x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c s) x) x) (*.f64 c s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 s c) x) c) (*.f64 s x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 s c) x) s) (*.f64 c x)))
(/.f64 #s(approx (- (pow (cos x) 4) (pow (sin x) 4)) #s(literal 1 binary64)) (.f64 (.f64 x (.f64 s c)) (.f64 x (*.f64 s c))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 c (.f64 (.f64 (.f64 x (*.f64 (neg.f64 x) s)) c) (neg.f64 s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 s s) (.f64 (.f64 (neg.f64 x) c) (*.f64 (neg.f64 x) c))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 s) (.f64 c x)) (.f64 (neg.f64 s) (*.f64 c x))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (neg.f64 x) c) s) (neg.f64 c)) (*.f64 s x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (*.f64 (neg.f64 x) c) s) s) (neg.f64 c)) x))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 s c) x)) (.f64 (neg.f64 s) (*.f64 c x))))
(/.f64 #s(approx (/ (cos (* x 2)) (* (* c s) x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x s) c))) (.f64 (.f64 c s) x))
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 s c) x)) (.f64 (.f64 s c) x))
(/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (.f64 c x)) (.f64 (.f64 (.f64 c s) x) s))
(/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (.f64 (.f64 c s) x)) (.f64 (.f64 c s) x))
(/.f64 (/.f64 #s(approx (cos (* x 2)) #s(approx (+ (* (* x x) -2) 1) #s(literal 1 binary64))) (.f64 c x)) (.f64 (.f64 (.f64 c s) x) s))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (neg.f64 x) s) c) (.f64 (.f64 c x) #s(literal -1 binary64))) s))
(/.f64 (neg.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 c c) x))) (.f64 (.f64 (neg.f64 s) s) x))
(/.f64 (/.f64 (neg.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64))) (.f64 (.f64 s c) x)) (.f64 (.f64 (neg.f64 x) s) c))

Outputs

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

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

Calls

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
78.0%	2	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes15.0ms (0.1%)

Memory

14.1MiB live, 14.1MiB allocated

Counts

25 → 1

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	x
6.0ms	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))

Results

Accuracy	Segments	Branch
75.6%	1	`x`
75.6%	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 17 to 15 computations (11.8% saved)

regimes69.0ms (0.6%)

Memory

-3.3MiB live, 39.1MiB allocated

Counts

22 → 1

Calls

Call 1

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

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

Calls

6 calls:

35.0ms	x
7.0ms	c
7.0ms	s
7.0ms	(pow.f64 s #s(literal 2 binary64))
6.0ms	(pow.f64 c #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
75.6%	1	`c`
75.6%	1	`s`
75.6%	1	`(pow.f64 c #s(literal 2 binary64))`
75.6%	1	`(pow.f64 s #s(literal 2 binary64))`
75.6%	1	`x`
75.6%	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 25 to 31 computations (-24% saved)

regimes67.0ms (0.6%)

Memory

-15.1MiB live, 24.4MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

48.0ms	(pow.f64 c #s(literal 2 binary64))
4.0ms	x
4.0ms	c
4.0ms	s
4.0ms	(pow.f64 s #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
74.8%	2	`c`
71.8%	1	`s`
71.8%	1	`(pow.f64 s #s(literal 2 binary64))`
74.8%	2	`(pow.f64 c #s(literal 2 binary64))`
71.8%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
74.1%	2	`x`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes10.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
67.3%	1	`s`
67.3%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
67.3%	1	`(pow.f64 s #s(literal 2 binary64))`
67.3%	1	`x`
67.3%	1	`c`
67.3%	1	`(pow.f64 c #s(literal 2 binary64))`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes50.0ms (0.4%)

Memory

-27.6MiB live, 12.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
63.0%	1	`s`
63.0%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
63.0%	1	`x`
63.0%	1	`c`
63.0%	1	`(pow.f64 c #s(literal 2 binary64))`
63.0%	1	`(pow.f64 s #s(literal 2 binary64))`

Compiler

Compiled 25 to 31 computations (-24% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.4627055241922754e+206	9.598744121459064e+236

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	6.249870525300948e-305

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch17.0ms (0.1%)

Memory

32.7MiB live, 32.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	6.086052807973291e-56	6.261187463100473e-53

Samples

10.0ms

128×

valid

Compiler

Compiled 283 to 234 computations (17.3% saved)

Precisions

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

ival-mult: 3.0ms (44.8% of total)

ival-pow2: 2.0ms (29.9% of total)

ival-div: 1.0ms (14.9% of total)

ival-cos: 1.0ms (14.9% 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

2.0MiB live, 2.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.534008627518178e-94	-0.0

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.242423797602234e+154	-1865643.2275477462

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch24.0ms (0.2%)

Memory

-38.5MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
24.0ms	0.0006681702471194226	0.0019832596117926116

Compiler

Compiled 19 to 19 computations (0% saved)

simplify87.0ms (0.8%)

Memory

9.8MiB live, 89.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	102	470
1	152	470
2	205	470
3	279	460
4	366	460
5	518	460
6	731	460
7	1018	460
8	1251	460
9	1502	460
10	1675	460
11	1778	460
12	1823	460
13	1853	460
14	1868	460
15	1880	460
16	1890	460
17	1893	460

Stop Event

1×

saturated

Calls

Call 1

Inputs
(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 200000000000000007778715510217677686261474498590404026668604764015382588578769793526159931215755402774652920623882426582706341222818875123308036734442537880708869172525233887089132911615311892438644481327104 binary64)) (.f64 (pow.f64 (.f64 (.f64 (neg.f64 x) s) c) #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) x))) (/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (.f64 (.f64 x (.f64 s c)) (.f64 x (*.f64 s c)))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal 0 binary64)) (.f64 (pow.f64 (.f64 (.f64 (neg.f64 x) s) c) #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) x))) (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c s) x)) (.f64 (.f64 c s) x)))
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c s) x)) (.f64 (.f64 c s) x))
(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x (.f64 s c)) (.f64 x (*.f64 s c))))
(if (<=.f64 x #s(literal 6686066773453359/107839786668602559178668060348078522694548577690162289924414440996864 binary64)) (/.f64 (/.f64 (neg.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64))) (.f64 (.f64 s c) x)) (.f64 (.f64 (neg.f64 x) s) c)) (/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) x) s) (*.f64 s c)))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -3757668132438133/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616 binary64)) (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 c s) x) (.f64 (.f64 c s) x))) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 s) (.f64 c x)) (.f64 (neg.f64 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 -10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 s c) x)) (.f64 (neg.f64 s) (.f64 c x)))) (/.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 s) (.f64 c x)) (.f64 (neg.f64 s) (*.f64 c x)))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 s) (.f64 c x)) (.f64 (neg.f64 s) (*.f64 c x))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c s) x) (.f64 (*.f64 c s) x)))
(if (<=.f64 (pow.f64 c #s(literal 2 binary64)) #s(literal 1152921504606847/1152921504606846976 binary64)) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s c) c) (.f64 (.f64 x s) x)))) (/.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) c) (.f64 (*.f64 s x) s)))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) c) (.f64 (*.f64 s x) s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c c) x) (.f64 (*.f64 s x) s))))

Outputs
(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 200000000000000007778715510217677686261474498590404026668604764015382588578769793526159931215755402774652920623882426582706341222818875123308036734442537880708869172525233887089132911615311892438644481327104 binary64)) (.f64 (pow.f64 (.f64 (.f64 (neg.f64 x) s) c) #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) x))) (/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (.f64 (.f64 x (.f64 s c)) (.f64 x (*.f64 s c)))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 (.f64 (pow.f64 s #s(literal 2 binary64)) x) x) (pow.f64 c #s(literal 2 binary64)))) #s(literal 200000000000000007778715510217677686261474498590404026668604764015382588578769793526159931215755402774652920623882426582706341222818875123308036734442537880708869172525233887089132911615311892438644481327104 binary64)) (.f64 (pow.f64 (.f64 (.f64 (neg.f64 x) s) c) #s(literal -2 binary64)) (cos.f64 (.f64 x #s(literal 2 binary64)))) (/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (.f64 (.f64 (.f64 s c) x) (.f64 (*.f64 s 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 0 binary64)) (.f64 (pow.f64 (.f64 (.f64 (neg.f64 x) s) c) #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) x))) (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c s) x)) (.f64 (.f64 c s) x)))
(if (<=.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 (.f64 (pow.f64 s #s(literal 2 binary64)) x) x) (pow.f64 c #s(literal 2 binary64)))) #s(literal 0 binary64)) (.f64 (pow.f64 (.f64 (.f64 (neg.f64 x) s) c) #s(literal -2 binary64)) (cos.f64 (.f64 x #s(literal 2 binary64)))) (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 s c) x)) (.f64 (.f64 s c) x)))
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c s) x)) (.f64 (.f64 c s) x))
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 s c) x)) (.f64 (.f64 s c) x))
(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x (.f64 s c)) (.f64 x (*.f64 s c))))
(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 s c) x) (.f64 (*.f64 s c) x)))
(if (<=.f64 x #s(literal 6686066773453359/107839786668602559178668060348078522694548577690162289924414440996864 binary64)) (/.f64 (/.f64 (neg.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64))) (.f64 (.f64 s c) x)) (.f64 (.f64 (neg.f64 x) s) c)) (/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) x) s) (*.f64 s c)))))
(if (<=.f64 x #s(literal 6686066773453359/107839786668602559178668060348078522694548577690162289924414440996864 binary64)) (/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 s c) x)) (.f64 (.f64 s x) c)) (/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) x) s) (*.f64 s c)))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -3757668132438133/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616 binary64)) (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 c s) x) (.f64 (.f64 c s) x))) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 s) (.f64 c x)) (.f64 (neg.f64 s) (*.f64 c x)))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 (.f64 (pow.f64 s #s(literal 2 binary64)) x) x) (pow.f64 c #s(literal 2 binary64)))) #s(literal -3757668132438133/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616 binary64)) (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 s c) x) (.f64 (.f64 s c) x))) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 s c) x)) (.f64 (neg.f64 s) (.f64 c x)))) (/.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 s) (.f64 c x)) (.f64 (neg.f64 s) (*.f64 c x)))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 (.f64 (pow.f64 s #s(literal 2 binary64)) x) x) (pow.f64 c #s(literal 2 binary64)))) #s(literal -10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c x) s) (.f64 (.f64 s c) x))) (/.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 s) (.f64 c x)) (.f64 (neg.f64 s) (*.f64 c x))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c s) x) (.f64 (*.f64 c s) x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 s c) x) (.f64 (*.f64 s c) x)))
(if (<=.f64 (pow.f64 c #s(literal 2 binary64)) #s(literal 1152921504606847/1152921504606846976 binary64)) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s c) c) (.f64 (.f64 x s) x)))) (/.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) c) (.f64 (*.f64 s x) s)))))
(if (<=.f64 (pow.f64 c #s(literal 2 binary64)) #s(literal 1152921504606847/1152921504606846976 binary64)) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s x) x) (.f64 (.f64 s c) c)))) (/.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s x) s) (.f64 (*.f64 c x) c)))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) c) (.f64 (*.f64 s x) s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s x) s) (.f64 (*.f64 c x) c))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c c) x) (.f64 (*.f64 s x) s))))

soundness2.7s (23.6%)

Memory

17.7MiB live, 1 374.2MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	103	6890
1	247	6890
2	733	6812
3	2743	6756
4	4520	6756
0	8219	6681
0	28	864
1	57	864
2	139	864
3	377	864
4	702	864
5	842	864
6	951	864
7	1173	864
8	1608	864
9	2826	864
10	4762	864
11	5489	864
12	5636	864
13	5704	864
14	5768	864
15	5792	864
16	6462	864
17	6561	864
18	6571	864
19	6571	864
20	6571	864
21	7549	864
0	8009	858
0	58	4766
1	137	4766
2	428	4738
3	1824	4718
4	4591	4702
5	6786	4702
0	8005	4663
0	49	264
0	81	256
1	245	213
2	1248	212
0	8616	212
0	39	183
0	63	163
1	158	147
2	604	145
3	5169	145
0	8547	145
0	11	36
0	18	36
1	44	36
2	127	34
3	682	30
4	7125	30
0	8660	30
0	44	222
0	73	217
1	209	191
2	1075	171
0	8602	171

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

Compiler

Compiled 1 659 to 723 computations (56.4% saved)

preprocess293.0ms (2.5%)

Memory

15.9MiB live, 373.0MiB allocated

Remove

(abs x)

(abs s)

Compiler

Compiled 4 570 to 2 432 computations (46.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze136.0ms (1.2%)

sample1.8s (15.9%)

explain180.0ms (1.6%)

preprocess52.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify11.0ms (0.1%)

localize57.0ms (0.5%)

series26.0ms (0.2%)

simplify451.0ms (3.9%)

rewrite231.0ms (2%)

eval108.0ms (0.9%)

prune38.0ms (0.3%)

simplify26.0ms (0.2%)

localize156.0ms (1.4%)

series124.0ms (1.1%)

simplify175.0ms (1.5%)

rewrite267.0ms (2.3%)

eval252.0ms (2.2%)

prune138.0ms (1.2%)

simplify98.0ms (0.9%)

localize189.0ms (1.6%)

series100.0ms (0.9%)

simplify237.0ms (2.1%)

rewrite150.0ms (1.3%)

eval616.0ms (5.3%)

prune224.0ms (1.9%)

simplify105.0ms (0.9%)

localize134.0ms (1.2%)

series67.0ms (0.6%)

simplify207.0ms (1.8%)

rewrite149.0ms (1.3%)

eval293.0ms (2.5%)

prune242.0ms (2.1%)

regimes218.0ms (1.9%)

regimes177.0ms (1.5%)

regimes258.0ms (2.2%)

regimes143.0ms (1.2%)

regimes142.0ms (1.2%)

regimes163.0ms (1.4%)

regimes10.0ms (0.1%)

regimes15.0ms (0.1%)

regimes69.0ms (0.6%)

regimes67.0ms (0.6%)

regimes10.0ms (0.1%)

regimes50.0ms (0.4%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch17.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch24.0ms (0.2%)

simplify87.0ms (0.8%)

soundness2.7s (23.6%)

preprocess293.0ms (2.5%)

end0.0ms (0%)

Profiling