Metrics for mixedcos

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze236.0ms (2.5%)

Memory

-1.6MiB live, 232.7MiB 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 (18.8%)

Memory

56.0MiB live, 1 970.1MiB allocated

Samples

1.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 928.0ms

ival-pow2: 302.0ms (32.5% of total)

ival-mult: 266.0ms (28.7% of total)

ival-cos: 198.0ms (21.3% of total)

ival-div: 146.0ms (15.7% of total)

ival-true: 7.0ms (0.8% of total)

exact: 6.0ms (0.6% of total)

ival-assert: 4.0ms (0.4% of total)

Bogosity

explain245.0ms (2.6%)

Memory

-19.6MiB live, 400.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
61	0	-	3	(1.4306930788932046e-9 2.3225883553529437e+138 -7.181713364951922e-149)	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`
28	0	-	4	(3.072782585731583e+42 2.616963867820319e-156 5.653874632076935e-156)	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`
14	0	-	0	-	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`
1	0	-	0	-	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
0	0	-	0	-	`(pow.f64 c #s(literal 2 binary64))`
0	0	-	0	-	`(*.f64 #s(literal 2 binary64) x)`
0	141	(-4.44962512495216e+248 -3.7096611900551104e-174 -1.9658045026830192e+34)	0	-	`(cos.f64 (*.f64 #s(literal 2 binary64) x))`
0	0	-	0	-	`s`
0	0	-	0	-	`c`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`x`
0	0	-	0	-	`(pow.f64 s #s(literal 2 binary64))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`cos.f64`	`(cos.f64 (*.f64 #s(literal 2 binary64) x))`	sensitivity	141	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*ou**	23	0
↳	`(pow.f64 c #s(literal 2 binary64))`	overflow	59
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	underflow	68
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	underflow	60
↳	`(pow.f64 s #s(literal 2 binary64))`	underflow	63
`*.f64`	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	*no**	13	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*nu**	12	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*no**	12	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*uo**	11	0
↳	`(pow.f64 c #s(literal 2 binary64))`	underflow	52
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	overflow	82
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	overflow	61
↳	`(pow.f64 s #s(literal 2 binary64))`	overflow	59
`*.f64`	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	*nu**	11	0
`*.f64`	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	*nu**	9	0
`*.f64`	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	*no**	5	0
`/.f64`	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`	n/o	1	0
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	overflow	82
↳	`(pow.f64 c #s(literal 2 binary64))`	overflow	59
↳	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	overflow	88
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	overflow	61
↳	`(pow.f64 s #s(literal 2 binary64))`	overflow	59

Confusion

	Predicted +	Predicted -
+	87	1
-	104	64

Precision

0.45549738219895286

Recall

0.9886363636363636

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	87	0	1
-	104	0	64

Precision?

0.45549738219895286

Recall?

0.9886363636363636

Freqs

test

number	freq
0	65
1	146
2	43
3	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

90.0ms

512×

valid

Compiler

Compiled 188 to 52 computations (72.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 29.0ms (51.9% of total)

ival-cos: 12.0ms (21.5% of total)

ival-pow2: 10.0ms (17.9% of total)

ival-div: 3.0ms (5.4% of total)

ival-true: 1.0ms (1.8% of total)

exact: 0.0ms (0% of total)

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

preprocess49.0ms (0.5%)

Memory

12.5MiB live, 50.3MiB 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 (/.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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.9%	(/.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)

simplify51.0ms (0.5%)

Memory

-22.3MiB live, 14.6MiB 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 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 s c)) (.f64 x x)) (.f64 s c))
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
x
(.f64 (.f64 (.f64 (.f64 c x) x) s) (*.f64 s c))
(*.f64 c c)
c
(.f64 (.f64 (*.f64 s s) x) x)
(.f64 (.f64 s s) x)
(*.f64 s s)
s

localize60.0ms (0.6%)

Memory

19.2MiB live, 63.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.20728363031415664	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
accuracy	3.1510503714689158	(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)
accuracy	7.876309321662908	(*.f64 x (pow.f64 s #s(literal 2 binary64)))
accuracy	12.930924106842314	(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))

Samples

48.0ms

256×

valid

Compiler

Compiled 114 to 26 computations (77.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 26.0ms (67.9% of total)

ival-cos: 6.0ms (15.7% of total)

ival-pow2: 5.0ms (13.1% of total)

ival-div: 2.0ms (5.2% of total)

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

exact: 0.0ms (0% of total)

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

series33.0ms (0.3%)

Memory

-7.5MiB live, 63.6MiB allocated

Counts

8 → 168

Calls

Call 1

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

Outputs
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (cos.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (cos.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (cos.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (cos.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x (pow.f64 s #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x (pow.f64 s #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x (pow.f64 s #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x (pow.f64 s #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (cos.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (cos.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (cos.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (cos.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x (pow.f64 s #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x (pow.f64 s #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x (pow.f64 s #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x (pow.f64 s #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.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))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (/.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))) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	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) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))))
4.0ms	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) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))))
4.0ms	c	@	-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) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))))
3.0ms	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) (/ (cos (* 2 x)) (* (pow c 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) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))))

simplify163.0ms (1.7%)

Memory

-26.4MiB live, 148.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	1512
1	117	1512
2	383	1498
3	1948	1488
4	4752	1480
5	6888	1480
0	8107	1468

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

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))
(/ 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))
(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)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (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))
(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)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (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 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))
(/ (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 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))
(/ (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 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))
(/ (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 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 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 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))))

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

rewrite171.0ms (1.8%)

Memory

34.6MiB live, 346.7MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	52
0	20	52
1	55	52
2	217	48
3	1946	42
0	8396	42

Stop Event

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

Counts

8 → 685

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)
(/.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
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eval165.0ms (1.7%)

Memory: -28.9MiB live, 211.4MiB allocated
Compiler: Compiled 24 875 to 2 488 computations (90% saved)

prune51.0ms (0.5%)

Memory

41.3MiB live, 118.0MiB allocated

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	831	22	853
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	832	22	854

Accuracy

100.0%

Counts

854 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.9%	(pow.f64 (.f64 (/.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)) (cos.f64 (.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal -1/2 binary64))
	84.8%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c)) c)
	70.8%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 x (.f64 s s))) (.f64 x (*.f64 c c)))
	96.4%	(/.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))))) (.f64 (pow.f64 (.f64 x (*.f64 c s)) #s(literal 2 binary64)) #s(literal 2 binary64)))
	96.3%	(/.f64 (-.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))))
	83.9%	(/.f64 (.f64 (/.f64 (pow.f64 (.f64 c s) #s(literal -2 binary64)) x) (cos.f64 (*.f64 x #s(literal 2 binary64)))) x)
	96.5%	(/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (.f64 x (*.f64 c s)) #s(literal 2 binary64)))
	77.6%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) (.f64 s s)))
▶	84.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) c) c))
	83.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x))
▶	80.6%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 c c)) (.f64 x s)) s))
	69.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 c c)) x) (.f64 s s)))
	82.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 c c)) s) (.f64 x s)))
	78.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 (.f64 x (.f64 s s)) c)))
▶	97.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))
	76.4%	(.f64 (pow.f64 c #s(literal -1 binary64)) (pow.f64 (.f64 (.f64 (.f64 x (.f64 s s)) c) (/.f64 x (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
	83.9%	(.f64 (/.f64 (pow.f64 (.f64 c s) #s(literal -2 binary64)) x) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) x))
▶	70.8%	(.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 x (.f64 s s))) (pow.f64 (.f64 x (.f64 c c)) #s(literal -1 binary64)))
	96.3%	(.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (.f64 x (*.f64 c s)) #s(literal 2 binary64))))
▶	63.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s)))
	76.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s))
	44.0%	#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 862 to 612 computations (29% saved)

simplify80.0ms (0.8%)

Memory

-16.5MiB live, 64.3MiB 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 x (*.f64 s s)))
cost-diff	256	(.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 x (.f64 s s))) (pow.f64 (.f64 x (.f64 c c)) #s(literal -1 binary64)))
cost-diff	0	(.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) c)
cost-diff	0	(.f64 (.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c) c)
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(cos.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff	0	(.f64 x (.f64 c c))
cost-diff	0	(.f64 (.f64 x (.f64 c c)) (.f64 x s))
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(cos.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
cost-diff	0	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c)
cost-diff	0	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s)))
cost-diff	0	#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s)))
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(cos.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff	0	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	321
0	74	323
1	139	301
2	315	297
3	723	297
4	1565	297
5	1615	297
6	1615	297
7	2580	297
8	2691	297
9	2691	297
10	3023	297
11	3023	297
12	3023	297
0	3023	297

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize143.0ms (1.5%)

Memory

5.8MiB live, 312.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3791380328455533	(/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 x (*.f64 s s)))
accuracy	5.518916859923434	(.f64 x (.f64 c c))
accuracy	7.876309321662908	(.f64 x (.f64 s s))
accuracy	8.769585290929692	(.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 x (.f64 s s))) (pow.f64 (.f64 x (.f64 c c)) #s(literal -1 binary64)))
accuracy	0.15691376953688405	(pow.f64 (*.f64 x s) #s(literal 2 binary64))
accuracy	0.20728363031415664	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) c) c))
accuracy	3.852304569407156	(.f64 (.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c) c)
accuracy	5.6415358874233865	(.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) c)
accuracy	0.20728363031415664	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 c c)) (.f64 x s)) s))
accuracy	3.012392658704664	(.f64 (.f64 (.f64 x (.f64 c c)) (*.f64 x s)) s)
accuracy	5.518916859923434	(.f64 x (.f64 c c))
accuracy	7.1592686170805315	(.f64 (.f64 x (.f64 c c)) (.f64 x s))
accuracy	0.1640625	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
accuracy	5.7001002111823915	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c)
accuracy	11.872212628725409	(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s))
accuracy	13.313099488173997	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s)))
accuracy	0	#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s)))
accuracy	0.197597509768442	(.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))
accuracy	0.20728363031415664	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))
accuracy	3.9133078521592193	(.f64 (.f64 x c) s)

Samples

90.0ms

256×

valid

Compiler

Compiled 606 to 88 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-mult: 30.0ms (45.7% of total)

ival-div: 13.0ms (19.8% of total)

ival-cos: 12.0ms (18.3% of total)

ival-pow2: 7.0ms (10.7% of total)

ival-pow: 2.0ms (3% of total)

exact: 1.0ms (1.5% of total)

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

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

series114.0ms (1.2%)

Memory

-30.0MiB live, 147.7MiB allocated

Counts

24 → 660

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
26.0ms	c	@	inf	((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ 1 x) x) c) (/ (/ 1 x) x) (/ 1 x) (* (* x (* c c)) (* x s)) (* x (* c c)) (* (* (pow (* x s) 2) c) c) (* (pow (* x s) 2) c) (* (/ (cos (* x 2)) (* x (* s s))) (pow (* x (* c c)) -1)) (/ (cos (* x 2)) (* x (* s s))) (cos (* x 2)) (* x 2) (* (* x c) s) (* (* (* x c) s) (* (* x c) s)) (/ (/ (/ (/ 1 x) x) c) (* (* s c) s)) (* (* (* x (* c c)) (* x s)) s) (/ (cos (* 2 x)) (* (* (* x (* c c)) (* x s)) s)) (/ (cos (* 2 x)) (* (* (pow (* x s) 2) c) c)) (pow (* x s) 2) (* x (* s s)))
23.0ms	x	@	-inf	((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ 1 x) x) c) (/ (/ 1 x) x) (/ 1 x) (* (* x (* c c)) (* x s)) (* x (* c c)) (* (* (pow (* x s) 2) c) c) (* (pow (* x s) 2) c) (* (/ (cos (* x 2)) (* x (* s s))) (pow (* x (* c c)) -1)) (/ (cos (* x 2)) (* x (* s s))) (cos (* x 2)) (* x 2) (* (* x c) s) (* (* (* x c) s) (* (* x c) s)) (/ (/ (/ (/ 1 x) x) c) (* (* s c) s)) (* (* (* x (* c c)) (* x s)) s) (/ (cos (* 2 x)) (* (* (* x (* c c)) (* x s)) s)) (/ (cos (* 2 x)) (* (* (pow (* x s) 2) c) c)) (pow (* x s) 2) (* x (* s s)))
5.0ms	x	@	inf	((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ 1 x) x) c) (/ (/ 1 x) x) (/ 1 x) (* (* x (* c c)) (* x s)) (* x (* c c)) (* (* (pow (* x s) 2) c) c) (* (pow (* x s) 2) c) (* (/ (cos (* x 2)) (* x (* s s))) (pow (* x (* c c)) -1)) (/ (cos (* x 2)) (* x (* s s))) (cos (* x 2)) (* x 2) (* (* x c) s) (* (* (* x c) s) (* (* x c) s)) (/ (/ (/ (/ 1 x) x) c) (* (* s c) s)) (* (* (* x (* c c)) (* x s)) s) (/ (cos (* 2 x)) (* (* (* x (* c c)) (* x s)) s)) (/ (cos (* 2 x)) (* (* (pow (* x s) 2) c) c)) (pow (* x s) 2) (* x (* s s)))
5.0ms	x	@	0	((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ 1 x) x) c) (/ (/ 1 x) x) (/ 1 x) (* (* x (* c c)) (* x s)) (* x (* c c)) (* (* (pow (* x s) 2) c) c) (* (pow (* x s) 2) c) (* (/ (cos (* x 2)) (* x (* s s))) (pow (* x (* c c)) -1)) (/ (cos (* x 2)) (* x (* s s))) (cos (* x 2)) (* x 2) (* (* x c) s) (* (* (* x c) s) (* (* x c) s)) (/ (/ (/ (/ 1 x) x) c) (* (* s c) s)) (* (* (* x (* c c)) (* x s)) s) (/ (cos (* 2 x)) (* (* (* x (* c c)) (* x s)) s)) (/ (cos (* 2 x)) (* (* (pow (* x s) 2) c) c)) (pow (* x s) 2) (* x (* s s)))
4.0ms	c	@	-inf	((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ 1 x) x) c) (/ (/ 1 x) x) (/ 1 x) (* (* x (* c c)) (* x s)) (* x (* c c)) (* (* (pow (* x s) 2) c) c) (* (pow (* x s) 2) c) (* (/ (cos (* x 2)) (* x (* s s))) (pow (* x (* c c)) -1)) (/ (cos (* x 2)) (* x (* s s))) (cos (* x 2)) (* x 2) (* (* x c) s) (* (* (* x c) s) (* (* x c) s)) (/ (/ (/ (/ 1 x) x) c) (* (* s c) s)) (* (* (* x (* c c)) (* x s)) s) (/ (cos (* 2 x)) (* (* (* x (* c c)) (* x s)) s)) (/ (cos (* 2 x)) (* (* (pow (* x s) 2) c) c)) (pow (* x s) 2) (* x (* s s)))

simplify252.0ms (2.6%)

Memory

24.0MiB live, 214.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	7296
1	195	7296
2	584	7220
3	2308	7166
4	4830	7166
0	8080	7118

Stop Event

1×	iter limit
1×	node limit

Counts

660 → 660

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
(+ 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)))
(/ 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 (pow x 2)))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* (pow c 2) (* s (pow x 2)))
(* (pow c 2) (* s (pow x 2)))
(* (pow c 2) (* s (pow x 2)))
(* (pow c 2) (* s (pow x 2)))
(* (pow c 2) x)
(* (pow c 2) x)
(* (pow c 2) x)
(* (pow c 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 s 2) (pow x 2)))
(* c (* (pow s 2) (pow x 2)))
(* c (* (pow s 2) (pow x 2)))
(* c (* (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 (* (pow s 2) x))
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (/ 1 (pow s 2))) x)
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (pow s 2))) (* 2 (/ 1 (pow s 2))))) (/ 1 (pow s 2))) x)
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (pow s 2))) (* 2/3 (/ 1 (pow s 2))))) (* 2 (/ 1 (pow s 2))))) (/ 1 (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)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* 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)))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
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rewrite199.0ms (2.1%)

Memory

8.1MiB live, 239.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	248
0	74	236
1	234	196
2	1141	188
3	6996	188
0	8044	188

Stop Event

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

Counts

24 → 1 668

Calls

Call 1

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

Outputs
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eval744.0ms (7.7%)

Memory: -5.6MiB live, 839.3MiB allocated
Compiler: Compiled 66 987 to 3 659 computations (94.5% saved)

prune247.0ms (2.6%)

Memory

-3.6MiB live, 266.3MiB allocated

Pruning

41 alts after pruning (40 fresh and 1 done)

	Pruned	Kept	Total
New	2 592	38	2 630
Fresh	15	2	17
Picked	4	1	5
Done	0	0	0
Total	2 611	41	2 652

Accuracy

100.0%

Counts

2 652 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.8%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 s s) x)) (.f64 (*.f64 c c) x))
	97.8%	(/.f64 (+.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))
	80.6%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 x (.f64 c c)) (*.f64 x s)) s))
▶	97.9%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))
	91.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (/.f64 (.f64 s c) (/.f64 (/.f64 #s(literal -1 binary64) c) x)) (neg.f64 x)) s))
	76.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 (.f64 s s) x) c) x) c))
	91.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 s c) (.f64 (neg.f64 c) x)) (neg.f64 x)) s))
▶	86.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c x) c) (.f64 x s)) s))
	76.8%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c (.f64 (.f64 (.f64 x x) c) s)) s))
	96.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 s x) (sqrt.f64 c)) (sqrt.f64 c)) (.f64 (.f64 x c) s))))
	96.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 s x) c))))
	95.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 s c) x))))
	57.8%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) c) c))
	58.9%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))
	75.4%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c) c))
	70.2%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x (.f64 c c)) (*.f64 x s)) s))
▶	77.3%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))
	97.9%	(.f64 (/.f64 #s(literal -1 binary64) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64)))) (neg.f64 (cos.f64 (*.f64 x #s(literal 2 binary64)))))
	77.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64)))
	62.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 (.f64 (.f64 s s) x) c) #s(literal -1 binary64)) (.f64 c x)))
	72.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 s x) #s(literal -2 binary64)) (.f64 c c)))
▶	66.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 s c) #s(literal -1 binary64)) (.f64 (.f64 (.f64 x x) c) s)))
	62.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 c x) #s(literal -1 binary64)) (.f64 (.f64 (.f64 s s) x) c)))
✓	63.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s)))
	64.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (neg.f64 x)) (.f64 (.f64 s c) s)))
	76.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s))
	62.9%	#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)))
	62.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (.f64 (neg.f64 x) x)) (.f64 (*.f64 s c) s)))
	66.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (.f64 (.f64 (*.f64 s c) s) (neg.f64 x))))
	63.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) c) (.f64 (*.f64 s c) s)))
	64.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (.f64 (.f64 s c) s)) (neg.f64 c)))
	62.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) c)) (.f64 (.f64 s c) s)))
	69.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 s (.f64 c c)) x)) (.f64 s x)))
	68.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) s)) (neg.f64 s)))
	64.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) (.f64 (.f64 (neg.f64 c) x) x)))
	67.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (.f64 (.f64 (neg.f64 s) c) s) (.f64 c x))))
	75.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) c) (.f64 (neg.f64 c) (pow.f64 (.f64 s x) #s(literal 2 binary64)))))
	44.0%	#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)))
	44.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (.f64 s c))) (.f64 x x)))
▶	67.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (.f64 c x)))
	66.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64))) (*.f64 (neg.f64 x) x))))

Compiler

Compiled 2 212 to 1 508 computations (31.8% saved)

simplify706.0ms (7.4%)

Memory

-84.0MiB live, 425.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (.f64 c x) c) (.f64 x s))
cost-diff	0	(.f64 (.f64 (.f64 (.f64 c x) c) (*.f64 x s)) s)
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(cos.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff	0	(*.f64 s c)
cost-diff	0	(pow.f64 (*.f64 s c) #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 s c) #s(literal -1 binary64)) (.f64 (.f64 (.f64 x x) c) s)))
cost-diff	5760	(/.f64 (pow.f64 (.f64 s c) #s(literal -1 binary64)) (.f64 (.f64 (.f64 x x) c) s))
cost-diff	0	(/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	0	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (.f64 c x)))
cost-diff	768	(/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (.f64 c x))
cost-diff	0	(.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))
cost-diff	0	#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) 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 x c) s) (.f64 (*.f64 x c) s))))
cost-diff	0	(.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))
cost-diff	0	#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s)))
cost-diff	0	(cos.f64 (+.f64 x x))
cost-diff	0	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	373
0	71	377
1	138	367
2	324	367
3	754	367
4	1802	367
5	2700	367
6	3900	367
7	4485	367
8	5552	367
9	7558	367
0	8230	367

Stop Event

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

Calls

Call 1

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

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

localize125.0ms (1.3%)

Memory

-13.1MiB live, 219.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.13671875	(.f64 (.f64 c x) c)
accuracy	0.20728363031415664	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c x) c) (.f64 x s)) s))
accuracy	3.012392658704664	(.f64 (.f64 (.f64 (.f64 c x) c) (*.f64 x s)) s)
accuracy	7.1592686170805315	(.f64 (.f64 (.f64 c x) c) (.f64 x s))
accuracy	3.965978280088469	(/.f64 (pow.f64 (.f64 s c) #s(literal -1 binary64)) (.f64 (.f64 (.f64 x x) c) s))
accuracy	5.764197049342654	(.f64 (.f64 x x) c)
accuracy	7.43334473038179	(.f64 (.f64 (*.f64 x x) c) s)
accuracy	13.313099488173997	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 s c) #s(literal -1 binary64)) (.f64 (.f64 (.f64 x x) c) s)))
accuracy	0.6702218822836202	(/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))
accuracy	3.5292752207493736	(/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (.f64 c x))
accuracy	5.5835840809279125	(.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (*.f64 s c) s)))
accuracy	13.313099488173997	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (.f64 c x)))
accuracy	0.197597509768442	(.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))
accuracy	0.20728363031415664	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))
accuracy	3.9133078521592193	(.f64 (.f64 x c) s)
accuracy	31.549673728418423	#s(approx (cos (* 2 x)) #s(literal 1 binary64))
accuracy	0	#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s)))
accuracy	0.197597509768442	(.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))
accuracy	0.20728363031415664	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))
accuracy	3.9133078521592193	(.f64 (.f64 x c) s)

Samples

86.0ms

256×

valid

Compiler

Compiled 666 to 84 computations (87.4% saved)

Precisions

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

ival-mult: 30.0ms (49.4% of total)

ival-cos: 11.0ms (18.1% of total)

ival-div: 10.0ms (16.5% of total)

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

ival-pow: 3.0ms (4.9% of total)

ival-add: 2.0ms (3.3% of total)

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

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

exact: 0.0ms (0% of total)

series91.0ms (0.9%)

Memory

27.4MiB live, 140.7MiB allocated

Counts

24 → 684

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
16.0ms	s	@	inf	((/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* x c) s) (* (* x c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (/ (* (/ -1 x) (/ -1 (* (* s c) s))) (* c x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ -1 x) (/ -1 (* (* s c) s)) (/ (pow (* s c) -1) (* (* (* x x) c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow (* s c) -1) (* s c) (cos (* 2 x)) (* 2 x) (* (* (* (* c x) c) (* x s)) s) (* (* (* c x) c) (* x s)) (* (* x c) s) (* (/ -1 x) (/ -1 (* (* s c) s))) (* (* (* x x) c) s) (* (* x x) c) (/ (cos (* 2 x)) (* (* (* (* c x) c) (* x s)) s)) (* (* c x) c))
15.0ms	c	@	inf	((/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* x c) s) (* (* x c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (/ (* (/ -1 x) (/ -1 (* (* s c) s))) (* c x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ -1 x) (/ -1 (* (* s c) s)) (/ (pow (* s c) -1) (* (* (* x x) c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow (* s c) -1) (* s c) (cos (* 2 x)) (* 2 x) (* (* (* (* c x) c) (* x s)) s) (* (* (* c x) c) (* x s)) (* (* x c) s) (* (/ -1 x) (/ -1 (* (* s c) s))) (* (* (* x x) c) s) (* (* x x) c) (/ (cos (* 2 x)) (* (* (* (* c x) c) (* x s)) s)) (* (* c x) c))
5.0ms	c	@	-inf	((/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* x c) s) (* (* x c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (/ (* (/ -1 x) (/ -1 (* (* s c) s))) (* c x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ -1 x) (/ -1 (* (* s c) s)) (/ (pow (* s c) -1) (* (* (* x x) c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow (* s c) -1) (* s c) (cos (* 2 x)) (* 2 x) (* (* (* (* c x) c) (* x s)) s) (* (* (* c x) c) (* x s)) (* (* x c) s) (* (/ -1 x) (/ -1 (* (* s c) s))) (* (* (* x x) c) s) (* (* x x) c) (/ (cos (* 2 x)) (* (* (* (* c x) c) (* x s)) s)) (* (* c x) c))
5.0ms	c	@	0	((/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* x c) s) (* (* x c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (/ (* (/ -1 x) (/ -1 (* (* s c) s))) (* c x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ -1 x) (/ -1 (* (* s c) s)) (/ (pow (* s c) -1) (* (* (* x x) c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow (* s c) -1) (* s c) (cos (* 2 x)) (* 2 x) (* (* (* (* c x) c) (* x s)) s) (* (* (* c x) c) (* x s)) (* (* x c) s) (* (/ -1 x) (/ -1 (* (* s c) s))) (* (* (* x x) c) s) (* (* x x) c) (/ (cos (* 2 x)) (* (* (* (* c x) c) (* x s)) s)) (* (* c x) c))
5.0ms	x	@	-inf	((/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* x c) s) (* (* x c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (/ (* (/ -1 x) (/ -1 (* (* s c) s))) (* c x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ -1 x) (/ -1 (* (* s c) s)) (/ (pow (* s c) -1) (* (* (* x x) c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow (* s c) -1) (* s c) (cos (* 2 x)) (* 2 x) (* (* (* (* c x) c) (* x s)) s) (* (* (* c x) c) (* x s)) (* (* x c) s) (* (/ -1 x) (/ -1 (* (* s c) s))) (* (* (* x x) c) s) (* (* x x) c) (/ (cos (* 2 x)) (* (* (* (* c x) c) (* x s)) s)) (* (* c x) c))

simplify194.0ms (2%)

Memory

10.6MiB live, 195.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	7332
1	165	7332
2	469	7262
3	1806	7212
4	4459	7172
5	6596	7172
0	8019	7124

Stop Event

1×	iter limit
1×	node limit

Counts

684 → 684

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
(+ 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)))
(/ 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)))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -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)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* s (pow x 2)))
(* (pow c 2) (* s (pow x 2)))
(* (pow c 2) (* s (pow x 2)))
(* (pow c 2) (* s (pow x 2)))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(/ 1 (* c (* (pow s 2) x)))
(/ 1 (* c (* (pow s 2) x)))
(/ 1 (* c (* (pow s 2) x)))
(/ 1 (* c (* (pow s 2) x)))
(* c (* s (pow x 2)))
(* c (* s (pow x 2)))
(* c (* s (pow x 2)))
(* c (* s (pow x 2)))
(* c (pow x 2))
(* c (pow x 2))
(* c (pow x 2))
(* c (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) x)
(* (pow c 2) x)
(* (pow c 2) x)
(* (pow c 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))))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ (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))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (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))
(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 c 2) (* s (pow x 2)))
(* (pow c 2) (* s (pow x 2)))
(* (pow c 2) (* s (pow x 2)))
(* (pow c 2) (* s (pow x 2)))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(/ 1 (* c (* (pow s 2) x)))
(/ 1 (* c (* (pow s 2) x)))
(/ 1 (* c (* (pow s 2) x)))
(/ 1 (* c (* (pow s 2) x)))
(* c (* s (pow x 2)))
(* c (* s (pow x 2)))
(* c (* s (pow x 2)))
(* c (* s (pow x 2)))
(* c (pow x 2))
(* c (pow x 2))
(* c (pow x 2))
(* c (pow x 2))
(/ (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) x)
(* (pow c 2) x)
(* (pow c 2) x)
(* (pow c 2) x)
(/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(cos (neg (* -2 x)))
(cos (neg (* -2 x)))
(cos (neg (* -2 x)))
(cos (neg (* -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)))
(/ (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))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (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))
(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 c 2) (* s (pow x 2)))
(* (pow c 2) (* s (pow x 2)))
(* (pow c 2) (* s (pow x 2)))
(* (pow c 2) (* s (pow x 2)))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(/ 1 (* c (* (pow s 2) x)))
(/ 1 (* c (* (pow s 2) x)))
(/ 1 (* c (* (pow s 2) x)))
(/ 1 (* c (* (pow s 2) x)))
(* c (* s (pow x 2)))
(* c (* s (pow x 2)))
(* c (* s (pow x 2)))
(* c (* s (pow x 2)))
(* c (pow x 2))
(* c (pow x 2))
(* c (pow x 2))
(* c (pow x 2))
(/ (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) x)
(* (pow c 2) x)
(* (pow c 2) x)
(* (pow c 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))))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (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))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -1 (* c (pow s 2)))
(/ -1 (* c (pow s 2)))
(/ -1 (* c (pow s 2)))
(/ -1 (* c (pow s 2)))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* c s))
(/ 1 (* c s))
(/ 1 (* c s))
(/ 1 (* c s))
(* c s)
(* c s)
(* c s)
(* c s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* s (pow x 2)))
(* (pow c 2) (* s (pow x 2)))
(* (pow c 2) (* s (pow x 2)))
(* (pow c 2) (* s (pow x 2)))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(/ 1 (* c (* (pow s 2) x)))
(/ 1 (* c (* (pow s 2) x)))
(/ 1 (* c (* (pow s 2) x)))
(/ 1 (* c (* (pow s 2) x)))
(* c (* s (pow x 2)))
(* c (* s (pow x 2)))
(* c (* s (pow x 2)))
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Outputs
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s s) c))
(/.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 s s)) c) c)) (.f64 x x))
(/.f64 (.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 s s)) c) 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))
(/.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 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 s s)) c) c))) (.f64 x x))
#s(literal 1 binary64)
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(.f64 (.f64 (.f64 (.f64 s c) c) x) (*.f64 s x))
(.f64 (.f64 (.f64 (.f64 s c) c) x) (*.f64 s x))
(.f64 (.f64 (.f64 (.f64 s c) c) x) (*.f64 s x))
(.f64 (.f64 (.f64 (.f64 s c) c) x) (*.f64 s x))
(.f64 (.f64 (.f64 (.f64 s c) c) x) (*.f64 s x))
(.f64 (.f64 (.f64 (.f64 s c) c) x) (*.f64 s x))
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(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s s) c))
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#s(literal 1 binary64)
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(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s s) c))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s s) c))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s s) c))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s s) c))
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rewrite112.0ms (1.2%)

Memory

-28.3MiB live, 110.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	286
0	71	260
1	229	218
0	1183	218

Stop Event

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

Counts

24 → 437

Calls

Call 1

Inputs
(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))
(cos.f64 (+.f64 x x))
#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s)))
(.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x 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 x c) s) (.f64 (*.f64 x c) s))))
#s(approx (cos (* 2 x)) #s(literal 1 binary64))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (.f64 c x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (.f64 c x)))
(/.f64 #s(literal -1 binary64) x)
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#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 s c) #s(literal -1 binary64)) (.f64 (.f64 (.f64 x x) c) s)))
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(*.f64 s c)
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(.f64 (.f64 (.f64 (.f64 c x) c) (*.f64 x s)) s)
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(.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (*.f64 s c) s)))
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(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c x) c) (.f64 x s)) s))
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Outputs
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eval172.0ms (1.8%)

Memory: 13.6MiB live, 314.5MiB allocated
Compiler: Compiled 44 661 to 1 298 computations (97.1% saved)

prune164.0ms (1.7%)

Memory

-11.4MiB live, 410.4MiB allocated

Pruning

47 alts after pruning (44 fresh and 3 done)

	Pruned	Kept	Total
New	1 347	28	1 375
Fresh	19	16	35
Picked	3	2	5
Done	0	1	1
Total	1 369	47	1 416

Accuracy

100.0%

Counts

1 416 → 47

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.1%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 c x) c) (*.f64 s s))) x)
	75.3%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c x) c)) (.f64 (*.f64 s s) x))
▶	97.8%	(/.f64 (+.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))
	85.4%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 s c) s) x) (*.f64 c x))))
	85.5%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 s c) c) x) (*.f64 s x))))
✓	97.9%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))
	96.1%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 s x) c))))
	95.1%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 s c) x))))
	85.4%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 x (.f64 c (.f64 (.f64 (*.f64 s c) s) x)))))
	76.8%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 (.f64 x x) c) s) c) s))
	84.4%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 #s(approx (* (* (* c x) c) (* x s)) (.f64 (.f64 (.f64 (.f64 s c) c) x) x)) s))
	96.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 s x) (sqrt.f64 c)) (sqrt.f64 c)) (.f64 (.f64 x c) s))))
	58.9%	(/.f64 #s(approx (cos (+ x x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))
	57.8%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) c) c))
	54.1%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 c x) c) (.f64 x s)) s))
	71.8%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c x) c) (*.f64 x s)) s))
	70.2%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x (.f64 c c)) (*.f64 x s)) s))
	62.5%	(/.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 s s) x) x) c) c)))
✓	77.3%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))
	75.4%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 s c) x))))
	78.8%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s x) c) (.f64 (*.f64 s x) c))))
	63.2%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 c x) (.f64 (.f64 c x) (*.f64 s s)))))
	75.3%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 x (.f64 (.f64 s c) (.f64 (*.f64 s x) c)))))
	76.0%	#s(approx (/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s))
	72.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 s x) #s(literal -2 binary64)) (.f64 c c)))
✓	63.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s)))
	64.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (neg.f64 x)) (.f64 (.f64 s c) s)))
	67.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) (neg.f64 x)) (*.f64 c x)))
	62.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (.f64 (neg.f64 x) x)) (.f64 (*.f64 s c) s)))
	66.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (.f64 (.f64 (*.f64 s c) s) (neg.f64 x))))
	63.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) c) (.f64 (*.f64 s c) s)))
	61.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c x) c) (.f64 s s))) x))
▶	62.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) c)) (.f64 (.f64 s c) s)))
	69.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 s (.f64 c c)) x)) (.f64 s x)))
	66.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 s c)) (.f64 (.f64 (.f64 x x) c) s)))
	64.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) (.f64 (.f64 (neg.f64 c) x) x)))
	67.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (.f64 (.f64 (neg.f64 s) c) s) (.f64 c x))))
▶	75.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) c) (.f64 (neg.f64 c) (pow.f64 (.f64 s x) #s(literal 2 binary64)))))
	44.0%	#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)))
	44.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (.f64 s c))) (.f64 x x)))
	67.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (*.f64 s c) s)) x)) c))
	67.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 s (/.f64 #s(literal -1 binary64) (.f64 s c))))) (*.f64 c x)))
	67.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 #s(literal -1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (*.f64 s c) s)) x) c)) x))
▶	66.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x x) c) s) (*.f64 s c))))
	63.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (*.f64 s c) s)) c) (/.f64 (/.f64 #s(literal -1 binary64) x) x)))
▶	64.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 c x))))
	66.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 s c)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 s) (.f64 (*.f64 x x) c)))))

Compiler

Compiled 2 634 to 1 754 computations (33.4% saved)

simplify128.0ms (1.3%)

Memory

24.4MiB live, 179.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	414
0	82	412
1	160	400
2	412	376
3	1082	376
4	2491	376
5	3899	376
6	5336	376
7	7193	376
0	8038	374

Stop Event

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

Calls

Call 1

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

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

localize137.0ms (1.4%)

Memory

-17.9MiB live, 212.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.15691376953688405	(pow.f64 (*.f64 s x) #s(literal 2 binary64))
accuracy	3.879237178770903	(/.f64 (/.f64 #s(literal -1 binary64) c) (.f64 (neg.f64 c) (pow.f64 (.f64 s x) #s(literal 2 binary64))))
accuracy	5.6415358874233865	(.f64 (neg.f64 c) (pow.f64 (.f64 s x) #s(literal 2 binary64)))
accuracy	13.313099488173997	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) c) (.f64 (neg.f64 c) (pow.f64 (.f64 s x) #s(literal 2 binary64)))))
accuracy	0.14453125	(.f64 (.f64 s c) s)
accuracy	0.6702218822836202	(/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))
accuracy	11.672978269337564	(.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 c x)))
accuracy	13.313099488173997	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 c x))))
accuracy	0.7582823803529699	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) c))
accuracy	5.764197049342654	(.f64 (.f64 x x) c)
accuracy	11.872212628725409	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) c)) (.f64 (.f64 s c) s))
accuracy	13.313099488173997	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) c)) (.f64 (.f64 s c) s)))
accuracy	4.72168760124207	(.f64 (.f64 (.f64 (.f64 x x) c) s) (*.f64 s c))
accuracy	5.764197049342654	(.f64 (.f64 x x) c)
accuracy	7.43334473038179	(.f64 (.f64 (*.f64 x x) c) s)
accuracy	13.313099488173997	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x x) c) s) (*.f64 s c))))
accuracy	0.20728363031415664	(/.f64 (+.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))
accuracy	0.27734375	(pow.f64 (cos.f64 x) #s(literal 2 binary64))
accuracy	0.3854149266173268	(-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
accuracy	3.9133078521592193	(.f64 (.f64 x c) s)

Samples

99.0ms

256×

valid

Compiler

Compiled 749 to 100 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-mult: 27.0ms (36.1% of total)

ival-cos: 19.0ms (25.4% of total)

ival-div: 15.0ms (20.1% of total)

ival-pow2: 9.0ms (12% of total)

ival-add: 1.0ms (1.3% of total)

ival-sub: 1.0ms (1.3% of total)

exact: 1.0ms (1.3% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

series75.0ms (0.8%)

Memory

-16.1MiB live, 116.4MiB allocated

Counts

24 → 648

Calls

Call 1

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

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

9 calls:

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

simplify163.0ms (1.7%)

Memory

23.1MiB live, 213.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	7462
1	238	7460
2	686	7382
3	2648	7332
4	5573	7332
0	8156	7244

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 648

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 (* (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 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
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)))
(/ 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 (pow x 2)))
(* c (* s (pow x 2)))
(* c (* s (pow x 2)))
(* c (* s (pow x 2)))
(* c (pow x 2))
(* c (pow x 2))
(* c (pow x 2))
(* c (pow x 2))
(pow x 2)
(pow x 2)
(pow x 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 (pow x 2)))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
(/ -1 (* c (pow x 2)))
(/ -1 (* c (pow x 2)))
(/ -1 (* c (pow x 2)))
(/ -1 (* c (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 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(* -1 (* c (* (pow s 2) (pow x 2))))
(* -1 (* c (* (pow s 2) (pow x 2))))
(* -1 (* c (* (pow s 2) (pow x 2))))
(* -1 (* c (* (pow s 2) (pow x 2))))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
1/2
(+ 1/2 (* -1 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(- (+ (* 1/2 (cos (* 2 x))) (pow (cos x) 2)) 1/2)
(- (+ (* 1/2 (cos (* 2 x))) (pow (cos x) 2)) 1/2)
(- (+ (* 1/2 (cos (* 2 x))) (pow (cos x) 2)) 1/2)
(- (+ (* 1/2 (cos (* 2 x))) (pow (cos x) 2)) 1/2)
(/ (- (+ (* 1/2 (cos (* 2 x))) (pow (cos x) 2)) 1/2) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (- (+ (* 1/2 (cos (* 2 x))) (pow (cos x) 2)) 1/2) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (- (+ (* 1/2 (cos (* 2 x))) (pow (cos x) 2)) 1/2) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (- (+ (* 1/2 (cos (* 2 x))) (pow (cos x) 2)) 1/2) (* (pow c 2) (* (pow s 2) (pow x 2))))
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(cos x)
(cos x)
(cos x)
(cos 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 (* s (pow x 2)))
(* c (* s (pow x 2)))
(* c (* s (pow x 2)))
(* c (* s (pow x 2)))
(* c (pow x 2))
(* c (pow x 2))
(* c (pow x 2))
(* c (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
(/ -1 (* c (pow x 2)))
(/ -1 (* c (pow x 2)))
(/ -1 (* c (pow x 2)))
(/ -1 (* c (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* -1 (* c (* (pow s 2) (pow x 2))))
(* -1 (* c (* (pow s 2) (pow x 2))))
(* -1 (* c (* (pow s 2) (pow x 2))))
(* -1 (* c (* (pow s 2) (pow x 2))))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(- (pow (cos x) 2) 1/2)
(- (pow (cos x) 2) 1/2)
(- (pow (cos x) 2) 1/2)
(- (pow (cos x) 2) 1/2)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (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))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(- (+ (* 1/2 (cos (* 2 x))) (pow (cos x) 2)) 1/2)
(- (+ (* 1/2 (cos (* 2 x))) (pow (cos x) 2)) 1/2)
(- (+ (* 1/2 (cos (* 2 x))) (pow (cos x) 2)) 1/2)
(- (+ (* 1/2 (cos (* 2 x))) (pow (cos x) 2)) 1/2)
(/ (- (+ (* 1/2 (cos (* 2 x))) (pow (cos x) 2)) 1/2) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (- (+ (* 1/2 (cos (* 2 x))) (pow (cos x) 2)) 1/2) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (- (+ (* 1/2 (cos (* 2 x))) (pow (cos x) 2)) 1/2) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (- (+ (* 1/2 (cos (* 2 x))) (pow (cos x) 2)) 1/2) (* (pow c 2) (* (pow s 2) (pow x 2))))
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(cos x)
(cos x)
(cos x)
(cos 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 (* s (pow x 2)))
(* c (* s (pow x 2)))
(* c (* s (pow x 2)))
(* c (* s (pow x 2)))
(* c (pow x 2))
(* c (pow x 2))
(* c (pow x 2))
(* c (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
(/ -1 (* c (pow x 2)))
(/ -1 (* c (pow x 2)))
(/ -1 (* c (pow x 2)))
(/ -1 (* c (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* -1 (* c (* (pow s 2) (pow x 2))))
(* -1 (* c (* (pow s 2) (pow x 2))))
(* -1 (* c (* (pow s 2) (pow x 2))))
(* -1 (* c (* (pow s 2) (pow x 2))))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(- (pow (cos x) 2) 1/2)
(- (pow (cos x) 2) 1/2)
(- (pow (cos x) 2) 1/2)
(- (pow (cos x) 2) 1/2)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (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))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(/ (- (+ (* 1/2 (cos (* 2 x))) (pow (cos x) 2)) 1/2) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (- (+ (* 1/2 (cos (* 2 x))) (pow (cos x) 2)) 1/2) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (- (+ (* 1/2 (cos (* 2 x))) (pow (cos x) 2)) 1/2) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (- (+ (* 1/2 (cos (* 2 x))) (pow (cos x) 2)) 1/2) (* (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))))
(* c (* s (pow x 2)))
(* c (* s (pow x 2)))
(* c (* s (pow x 2)))
(* c (* s (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -1 (* c (pow s 2)))
(/ -1 (* c (pow s 2)))
(/ -1 (* c (pow s 2)))
(/ -1 (* c (pow s 2)))
(* c (pow s 2))
(* c (pow s 2))
(* c (pow s 2))
(* c (pow s 2))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* -1 (* c (* (pow s 2) (pow x 2))))
(* -1 (* c (* (pow s 2) (pow x 2))))
(* -1 (* c (* (pow s 2) (pow x 2))))
(* -1 (* c (* (pow s 2) (pow x 2))))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* 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)))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
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(/ (- (+ (* 1/2 (cos (* 2 x))) (pow (cos x) 2)) 1/2) (* (pow c 2) (* (pow s 2) (pow x 2))))
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(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
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(* (pow s 2) (pow x 2))
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(/ (- (+ (* 1/2 (cos (* 2 x))) (pow (cos x) 2)) 1/2) (* (pow c 2) (* (pow s 2) (pow x 2))))
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(/ 1 (* c (pow x 2)))
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(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -1 (* c (pow s 2)))
(/ -1 (* c (pow s 2)))
(/ -1 (* c (pow s 2)))
(/ -1 (* c (pow s 2)))
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(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
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(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -1 c)
(/ -1 c)
(/ -1 c)
(/ -1 c)
(* -1 (* c (* (pow s 2) (pow x 2))))
(* -1 (* c (* (pow s 2) (pow x 2))))
(* -1 (* c (* (pow s 2) (pow x 2))))
(* -1 (* c (* (pow s 2) (pow x 2))))
(* c (* s x))
(* c (* s x))
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(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
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(/ (- (+ (* 1/2 (cos (* 2 x))) (pow (cos x) 2)) 1/2) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (- (+ (* 1/2 (cos (* 2 x))) (pow (cos x) 2)) 1/2) (* (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))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (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))))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
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(/ -1 (* c (pow x 2)))
(/ -1 (* c (pow x 2)))
(/ -1 (* c (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -1 (* c (pow s 2)))
(/ -1 (* c (pow s 2)))
(/ -1 (* c (pow s 2)))
(/ -1 (* c (pow s 2)))
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(* c (pow s 2))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
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(/ -1 c)
(/ -1 c)
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(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
(/ -1 (* c (pow x 2)))
(/ -1 (* c (pow x 2)))
(/ -1 (* c (pow x 2)))
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(/ -1 (* c (pow s 2)))
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(/ -1 c)
(/ -1 c)
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(* c (* s x))
(* c (* s x))
(* c (* s x))
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(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
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(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
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(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
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Outputs
#s(literal 1 binary64)
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 s x) s)) (.f64 (.f64 c c) x))
(/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 s s)) c) c)) (.f64 x x))
(/.f64 (fma.f64 (.f64 (/.f64 (/.f64 x s) c) (/.f64 (/.f64 x s) c)) (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 s s)) c) c)) (.f64 x x))
(/.f64 (fma.f64 (.f64 (.f64 (/.f64 (/.f64 x s) c) (/.f64 (/.f64 x s) c)) (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) (.f64 s s)) c) c))) (.f64 x x))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x)))
#s(literal 1 binary64)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(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))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 s x) s)) (.f64 (.f64 c c) x))
(/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 s s)) c) c)) (.f64 x x))
(/.f64 (fma.f64 (.f64 (/.f64 (/.f64 x s) c) (/.f64 (/.f64 x s) c)) (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 s s)) c) c)) (.f64 x x))
(/.f64 (fma.f64 (.f64 (.f64 (/.f64 (/.f64 x s) c) (/.f64 (/.f64 x s) c)) (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) (.f64 s s)) c) c))) (.f64 x x))
(.f64 (.f64 (*.f64 x x) s) c)
(.f64 (.f64 (*.f64 x x) s) c)
(.f64 (.f64 (*.f64 x x) s) c)
(.f64 (.f64 (*.f64 x x) s) c)
(.f64 (.f64 x x) c)
(.f64 (.f64 x x) c)
(.f64 (.f64 x x) c)
(.f64 (.f64 x x) c)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 s x) s)) (.f64 (.f64 c c) x))
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rewrite79.0ms (0.8%)

Memory

-20.8MiB live, 105.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	296
0	82	290
1	286	217
0	1709	217

Stop Event

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

Counts

24 → 689

Calls

Call 1

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

Outputs
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eval175.0ms (1.8%)

Memory: 5.9MiB live, 320.7MiB allocated
Compiler: Compiled 52 685 to 1 741 computations (96.7% saved)

prune162.0ms (1.7%)

Memory

6.0MiB live, 246.8MiB allocated

Pruning

49 alts after pruning (46 fresh and 3 done)

	Pruned	Kept	Total
New	1 445	13	1 458
Fresh	6	33	39
Picked	4	1	5
Done	1	2	3
Total	1 456	49	1 505

Accuracy

100.0%

Counts

1 505 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.1%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 c x) c) (*.f64 s s))) x)
	75.3%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c x) c)) (.f64 (*.f64 s s) x))
	97.8%	(/.f64 (+.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))
	85.4%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 s c) s) x) (*.f64 c x))))
	85.5%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 s c) c) x) (*.f64 s x))))
✓	97.9%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))
	96.1%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 s x) c))))
	95.1%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 s c) x))))
	85.4%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 x (.f64 c (.f64 (.f64 (*.f64 s c) s) x)))))
	76.8%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 (.f64 x x) c) s) c) s))
	84.4%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 #s(approx (* (* (* c x) c) (* x s)) (.f64 (.f64 (.f64 (.f64 s c) c) x) x)) s))
	96.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 s x) (sqrt.f64 c)) (sqrt.f64 c)) (.f64 (.f64 x c) s))))
	58.9%	(/.f64 #s(approx (+ (- (pow (cos x) 2) 1/2) (* 1/2 (cos (* x 2)))) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))
	57.8%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) c) c))
	54.1%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 c x) c) (.f64 x s)) s))
	71.8%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c x) c) (*.f64 x s)) s))
	70.2%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x (.f64 c c)) (*.f64 x s)) s))
	62.5%	(/.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 s s) x) x) c) c)))
	75.4%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 s c) x))))
	78.8%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s x) c) (.f64 (*.f64 s x) c))))
	63.2%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 c x) (.f64 (.f64 c x) (*.f64 s s)))))
	75.3%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 x (.f64 (.f64 s c) (.f64 (*.f64 s x) c)))))
	70.6%	#s(approx (/ (+ (- (pow (cos x) 2) 1/2) (* 1/2 (cos (* x 2)))) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 s x) s)) (.f64 (.f64 c c) x)))
	76.0%	#s(approx (/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s))
✓	63.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s)))
	67.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) (neg.f64 x)) (*.f64 c x)))
	66.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (.f64 (.f64 (*.f64 s c) s) (neg.f64 x))))
	63.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) c) (.f64 (*.f64 s c) s)))
	61.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c x) c) (.f64 s s))) x))
✓	62.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) c)) (.f64 (.f64 s c) s)))
	66.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 s c)) (.f64 (.f64 (.f64 x x) c) s)))
	67.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (.f64 (.f64 (neg.f64 s) c) s) (.f64 c x))))
	66.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (.f64 (.f64 (.f64 (.f64 s c) s) c) x))))
	60.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) c) (.f64 (.f64 s s) (.f64 (neg.f64 x) (.f64 c x)))))
	75.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) c) (.f64 (neg.f64 c) (.f64 (.f64 s x) (.f64 s x)))))
	44.0%	#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)))
	44.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (.f64 s c))) (.f64 x x)))
	66.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) c) #s(literal -1 binary64)) (.f64 x (.f64 (.f64 s c) s))))
	67.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (*.f64 s c) s)) x)) c))
	67.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 s (/.f64 #s(literal -1 binary64) (.f64 s c))))) (*.f64 c x)))
	67.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 #s(literal -1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (*.f64 s c) s)) x) c)) x))
	69.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x x) s) c) (*.f64 s c))))
	60.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 s s) x) (.f64 x (*.f64 c c)))))
	65.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* (* (* x x) c) s) (* s c)) (.f64 (.f64 (.f64 (.f64 (*.f64 x x) c) c) s) s))))
	64.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 s c) s) (.f64 (neg.f64 x) (*.f64 c x)))))
	63.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (*.f64 s c) s)) c) (/.f64 (/.f64 #s(literal -1 binary64) x) x)))
	60.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s s) c)) (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 c x))))
	64.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 c x) (neg.f64 x)))))
	66.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 s c)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 s) (.f64 (*.f64 x x) c)))))

Compiler

Compiled 4 170 to 1 398 computations (66.5% saved)

regimes190.0ms (2%)

Memory

-3.1MiB live, 198.5MiB allocated

Counts

102 → 1

Calls

Call 1

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

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

Calls

6 calls:

48.0ms	(/.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)))
31.0ms	x
29.0ms	(pow.f64 s #s(literal 2 binary64))
28.0ms	s
27.0ms	c

Results

Accuracy	Segments	Branch
97.9%	1	`x`
97.9%	1	`c`
97.9%	1	`s`
97.9%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
97.9%	1	`(pow.f64 c #s(literal 2 binary64))`
97.9%	1	`(pow.f64 s #s(literal 2 binary64))`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes109.0ms (1.1%)

Memory

26.3MiB live, 103.5MiB allocated

Counts

60 → 2

Calls

Call 1

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

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

Calls

6 calls:

26.0ms	(pow.f64 s #s(literal 2 binary64))
21.0ms	s
16.0ms	c
16.0ms	x
14.0ms	(pow.f64 c #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
96.1%	1	`c`
96.1%	1	`s`
96.1%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
96.1%	1	`(pow.f64 c #s(literal 2 binary64))`
96.1%	1	`(pow.f64 s #s(literal 2 binary64))`
98.4%	2	`x`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes139.0ms (1.5%)

Memory

-21.8MiB live, 105.7MiB allocated

Counts

58 → 2

Calls

Call 1

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

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 x) c) (*.f64 (*.f64 s x) c))))

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

Calls

6 calls:

50.0ms	(pow.f64 c #s(literal 2 binary64))
25.0ms	(pow.f64 s #s(literal 2 binary64))
19.0ms	x
15.0ms	s
15.0ms	c

Results

Accuracy	Segments	Branch
92.1%	2	`c`
92.1%	2	`(pow.f64 c #s(literal 2 binary64))`
94.2%	2	`s`
90.0%	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)))`
94.2%	2	`(pow.f64 s #s(literal 2 binary64))`
96.1%	2	`x`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes149.0ms (1.6%)

Memory

1.8MiB live, 80.2MiB allocated

Counts

57 → 2

Calls

Call 1

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

Outputs

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

Calls

6 calls:

54.0ms	s
38.0ms	c
15.0ms	x
14.0ms	(pow.f64 s #s(literal 2 binary64))
13.0ms	(pow.f64 c #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
82.0%	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)))`
78.8%	1	`c`
78.8%	1	`(pow.f64 c #s(literal 2 binary64))`
78.8%	1	`(pow.f64 s #s(literal 2 binary64))`
78.8%	1	`s`
78.8%	1	`x`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes14.0ms (0.1%)

Memory

14.4MiB live, 14.3MiB allocated

Counts

23 → 1

Calls

Call 1

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

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 x) c) (.f64 (*.f64 s x) c))))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
78.8%	1	`x`
78.8%	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)))`

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes47.0ms (0.5%)

Memory

-22.0MiB live, 20.4MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

6 calls:

33.0ms	(pow.f64 c #s(literal 2 binary64))
3.0ms	c
3.0ms	x
3.0ms	s
2.0ms	(pow.f64 s #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
75.3%	1	`s`
75.3%	1	`(pow.f64 s #s(literal 2 binary64))`
75.3%	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)))`
75.3%	1	`c`
75.3%	1	`(pow.f64 c #s(literal 2 binary64))`
75.3%	1	`x`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes13.0ms (0.1%)

Memory

16.1MiB live, 16.1MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
71.8%	2	`s`
71.8%	2	`(pow.f64 s #s(literal 2 binary64))`
69.8%	1	`c`
69.8%	1	`(pow.f64 c #s(literal 2 binary64))`
69.8%	1	`x`
69.8%	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)))`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes67.0ms (0.7%)

Memory

-24.0MiB live, 15.6MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

6 calls:

58.0ms	c
2.0ms	s
2.0ms	x
2.0ms	(pow.f64 s #s(literal 2 binary64))
2.0ms	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))

Results

Accuracy	Segments	Branch
66.1%	1	`x`
66.1%	1	`c`
66.1%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
66.1%	1	`(pow.f64 c #s(literal 2 binary64))`
68.3%	2	`s`
68.3%	2	`(pow.f64 s #s(literal 2 binary64))`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes10.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
65.1%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
65.1%	1	`c`
65.1%	1	`(pow.f64 c #s(literal 2 binary64))`
65.1%	1	`x`
67.4%	2	`(pow.f64 s #s(literal 2 binary64))`
67.4%	2	`s`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes4.0ms (0%)

Memory

6.9MiB live, 6.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
65.1%	1	`c`
65.1%	1	`s`
65.1%	1	`(pow.f64 s #s(literal 2 binary64))`

Compiler

Compiled 5 to 11 computations (-120% saved)

bsearch14.0ms (0.1%)

Memory

14.1MiB live, 14.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.2829853575894181e-36	6.024159308540858e-36

Samples

8.0ms

96×

valid

Compiler

Compiled 367 to 246 computations (33% saved)

Precisions

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

ival-mult: 2.0ms (35.4% of total)

ival-pow2: 2.0ms (35.4% of total)

ival-div: 1.0ms (17.7% of total)

ival-cos: 1.0ms (17.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch67.0ms (0.7%)

Memory

-28.3MiB live, 11.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
66.0ms	3.7583871550946393e-10	1.4306930788932046e-9

Samples

62.0ms

80×

valid

Compiler

Compiled 309 to 208 computations (32.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-pow2: 57.0ms (94.5% of total)

ival-mult: 2.0ms (3.3% of total)

ival-cos: 1.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.9100200728203015e-83	0.0

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.683295046730781e+297	8.521844711631229e+301

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch18.0ms (0.2%)

Memory

16.2MiB live, 16.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	5.180053133637512e+148	9.231383813725453e+150

Samples

11.0ms

112×

valid

Compiler

Compiled 439 to 312 computations (28.9% saved)

Precisions

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

ival-cos: 3.0ms (36.2% of total)

ival-mult: 3.0ms (36.2% of total)

ival-pow2: 2.0ms (24.1% of total)

ival-div: 1.0ms (12.1% 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

2.4MiB live, 2.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.180053133637512e+148	9.231383813725453e+150

Compiler

Compiled 523 to 354 computations (32.3% saved)

simplify61.0ms (0.6%)

Memory

-5.5MiB live, 34.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	544
1	130	544

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))
(if (<=.f64 x #s(literal 3666615307735769/748288838313422294120286634350736906063837462003712 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) c) (.f64 (.f64 s x) c)))) (/.f64 (cos.f64 (+.f64 x x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 s c) x)))))
(if (<=.f64 x #s(literal 6769984589841923/4835703278458516698824704 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) c) (.f64 (.f64 s x) c)))) (/.f64 (cos.f64 (+.f64 x x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 x (.f64 c (.f64 (.f64 (*.f64 s c) s) x))))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -2734063405978765/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864 binary64)) (/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (.f64 x 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 s x) c) (.f64 (*.f64 s 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 s x) c) (.f64 (*.f64 s x) c))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 x (.f64 (.f64 s c) (.f64 (*.f64 s x) c)))))
(if (<=.f64 (pow.f64 s #s(literal 2 binary64)) #s(literal 4999999999999999797831017376714894119127812233696870733560457558998243835015834942700401512775872587353423939115559831572611431741498074611166071691150501229607379410134558461510763529142729843207341692956811227775656913210014077504201792814563184923802875085144633272926482892941009176900625498112 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 s s) x) (.f64 x (.f64 c c))))) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x x) s) c) (*.f64 s c)))))
(if (<=.f64 s #s(literal 499999999999999990417798086218687295286560007015159396545582405077050056101839291488149134308110575981351030133088002720283516165604201974116686757888 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 s s) x) (.f64 x (.f64 c c))))) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x x) c) s) (*.f64 s c)))))
(if (<=.f64 s #s(literal 499999999999999990417798086218687295286560007015159396545582405077050056101839291488149134308110575981351030133088002720283516165604201974116686757888 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 s s) x) (.f64 x (.f64 c c))))) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* (* (* x x) c) s) (* s c)) (.f64 (.f64 (.f64 (.f64 (*.f64 x x) c) c) s) s)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* (* (* x x) c) s) (* s c)) (.f64 (.f64 (.f64 (.f64 (*.f64 x x) c) c) s) s))))

Outputs
(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))))
(if (<=.f64 x #s(literal 3666615307735769/748288838313422294120286634350736906063837462003712 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) c) (.f64 (.f64 s x) c)))) (/.f64 (cos.f64 (+.f64 x x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s c) x) (.f64 (*.f64 c x) s)))))
(if (<=.f64 x #s(literal 6769984589841923/4835703278458516698824704 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) c) (.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 (*.f64 s c) s) x) c) x))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (pow.f64 s #s(literal 2 binary64)) x) x) (pow.f64 c #s(literal 2 binary64)))) #s(literal -2734063405978765/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864 binary64)) (/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (.f64 c 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) c) (.f64 (*.f64 s 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 s x) c) (.f64 (*.f64 s 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 s c) (.f64 (*.f64 s x) c)) x)))
(if (<=.f64 (pow.f64 s #s(literal 2 binary64)) #s(literal 4999999999999999797831017376714894119127812233696870733560457558998243835015834942700401512775872587353423939115559831572611431741498074611166071691150501229607379410134558461510763529142729843207341692956811227775656913210014077504201792814563184923802875085144633272926482892941009176900625498112 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) x) (.f64 (.f64 s s) x)))) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x x) s) c) (*.f64 s c)))))
(if (<=.f64 s #s(literal 499999999999999990417798086218687295286560007015159396545582405077050056101839291488149134308110575981351030133088002720283516165604201974116686757888 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) x) (.f64 (.f64 s s) x)))) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x x) c) s) (*.f64 s c)))))
(if (<=.f64 s #s(literal 499999999999999990417798086218687295286560007015159396545582405077050056101839291488149134308110575981351030133088002720283516165604201974116686757888 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) x) (.f64 (.f64 s s) x)))) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* (* (* x x) c) s) (* s c)) (.f64 (.f64 (.f64 (.f64 (*.f64 x x) c) c) s) s)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* (* (* x x) c) s) (* s c)) (.f64 (.f64 (.f64 (.f64 (*.f64 x x) c) c) s) s))))

soundness1.2s (12.6%)

Memory

-9.3MiB live, 594.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	102	7462
1	238	7460
2	686	7382
3	2648	7332
4	5573	7332
0	8156	7244
0	44	286
0	71	260
1	229	218
0	1183	218
0	81	7296
1	195	7296
2	584	7220
3	2308	7166
4	4830	7166
0	8080	7118
0	45	248
0	74	236
1	234	196
2	1141	188
3	6996	188
0	8044	188
0	51	296
0	82	290
1	286	217
0	1709	217
0	50	1512
1	117	1512
2	383	1498
3	1948	1488
4	4752	1480
5	6888	1480
0	8107	1468

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×	iter limit
1×	node limit

Compiler

Compiled 1 862 to 907 computations (51.3% saved)

preprocess201.0ms (2.1%)

Memory: 14.8MiB live, 250.0MiB allocated
Compiler: Compiled 2 608 to 942 computations (63.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze236.0ms (2.5%)

sample1.8s (18.8%)

explain245.0ms (2.6%)

preprocess49.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify51.0ms (0.5%)

localize60.0ms (0.6%)

series33.0ms (0.3%)

simplify163.0ms (1.7%)

rewrite171.0ms (1.8%)

eval165.0ms (1.7%)

prune51.0ms (0.5%)

simplify80.0ms (0.8%)

localize143.0ms (1.5%)

series114.0ms (1.2%)

simplify252.0ms (2.6%)

rewrite199.0ms (2.1%)

eval744.0ms (7.7%)

prune247.0ms (2.6%)

simplify706.0ms (7.4%)

localize125.0ms (1.3%)

series91.0ms (0.9%)

simplify194.0ms (2%)

rewrite112.0ms (1.2%)

eval172.0ms (1.8%)

prune164.0ms (1.7%)

simplify128.0ms (1.3%)

localize137.0ms (1.4%)

series75.0ms (0.8%)

simplify163.0ms (1.7%)

rewrite79.0ms (0.8%)

eval175.0ms (1.8%)

prune162.0ms (1.7%)

regimes190.0ms (2%)

regimes109.0ms (1.1%)

regimes139.0ms (1.5%)

regimes149.0ms (1.6%)

regimes14.0ms (0.1%)

regimes47.0ms (0.5%)

regimes13.0ms (0.1%)

regimes67.0ms (0.7%)

regimes10.0ms (0.1%)

regimes4.0ms (0%)

bsearch14.0ms (0.1%)

bsearch67.0ms (0.7%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch18.0ms (0.2%)

bsearch1.0ms (0%)

simplify61.0ms (0.6%)

soundness1.2s (12.6%)

preprocess201.0ms (2.1%)

end0.0ms (0%)

Profiling