Metrics for mixedcos

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze179.0ms (1.8%)

Memory

-10.0MiB live, 147.8MiB 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)

sample1.5s (15.3%)

Memory

49.2MiB live, 1 501.8MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 750.0ms

ival-mult: 351.0ms (46.8% of total)

ival-cos: 185.0ms (24.7% of total)

ival-pow2: 153.0ms (20.4% of total)

ival-div: 47.0ms (6.3% of total)

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

exact: 5.0ms (0.7% of total)

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

Bogosity

explain231.0ms (2.3%)

Memory

23.3MiB live, 252.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
58	0	-	4	(-8.101440316366037e+120 -979534621082.809 1.6235620332243928e-280)	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`
34	0	-	1	(1.7493873235631592e+158 -7.796874801154289e-242 3.2018929919892374e-161)	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`
21	0	-	1	(4.998348836591472e+105 -1.4328427301182035e+67 5.386294486480937e-213)	`(.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	(5.423339471194899e+189 3.122395690978525e-21 -1.0781570801585451e-100)	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))`	*uo**	19	0
↳	`(pow.f64 c #s(literal 2 binary64))`	underflow	68
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	overflow	70
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	overflow	64
↳	`(pow.f64 s #s(literal 2 binary64))`	overflow	59
`*.f64`	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	*nu**	18	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*nu**	16	0
`*.f64`	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	*no**	15	0
`*.f64`	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	*nu**	13	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*no**	10	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*ou**	9	0
↳	`(pow.f64 c #s(literal 2 binary64))`	overflow	58
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	underflow	70
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	underflow	61
↳	`(pow.f64 s #s(literal 2 binary64))`	underflow	65
`*.f64`	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	*no**	7	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	70
↳	`(pow.f64 c #s(literal 2 binary64))`	overflow	58
↳	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	overflow	78
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	overflow	64
↳	`(pow.f64 s #s(literal 2 binary64))`	overflow	59

Confusion

	Predicted +	Predicted -
+	82	1
-	103	70

Precision

0.44324324324324327

Recall

0.9879518072289156

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	82	0	1
-	103	0	70

Precision?

0.44324324324324327

Recall?

0.9879518072289156

Freqs

test

number	freq
0	71
1	123
2	60
3	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

100.0ms

512×

valid

Compiler

Compiled 188 to 52 computations (72.3% saved)

Precisions

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

ival-mult: 44.0ms (62.8% of total)

ival-cos: 12.0ms (17.1% of total)

ival-pow2: 10.0ms (14.3% of total)

ival-div: 3.0ms (4.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess58.0ms (0.6%)

Memory

-12.7MiB live, 67.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs s)

(abs c)

(abs x)

(sort c s)

Compiler

Compiled 16 to 12 computations (25% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.7%	(/.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)

simplify15.0ms (0.2%)

Memory

-7.1MiB live, 26.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize58.0ms (0.6%)

Memory

17.1MiB live, 92.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.24354097752104825	(/.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	3.3460740645627443	(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)
accuracy	8.017694767695293	(*.f64 x (pow.f64 s #s(literal 2 binary64)))
accuracy	14.093120320030401	(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))

Samples

49.0ms

256×

valid

Compiler

Compiled 114 to 26 computations (77.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-cos: 6.0ms (33.6% of total)

ival-mult: 6.0ms (33.6% of total)

ival-pow2: 4.0ms (22.4% of total)

ival-div: 1.0ms (5.6% of total)

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

exact: 0.0ms (0% of total)

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

series55.0ms (0.6%)

Memory

-1.8MiB live, 82.8MiB allocated

Counts

8 → 168

Calls

Call 1

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

9 calls:

Time	Variable		Point	Expression
29.0ms	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	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))))
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))))

simplify360.0ms (3.7%)

Memory

-45.2MiB live, 218.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	1512
1	117	1512
2	383	1498
3	1949	1488
4	4763	1480
5	6909	1480
0	8006	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
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow s 2) x)
(.f64 (.f64 s s) x)
(* (pow s 2) x)
(.f64 (.f64 s s) x)
(* (pow s 2) x)
(.f64 (.f64 s s) x)
(* (pow s 2) x)
(.f64 (.f64 s s) x)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c)) (*.f64 x x))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 x x))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (/.f64 (/.f64 (/.f64 (/.f64 x s) c) 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 (* 2 x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(cos (* 2 x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(cos (* 2 x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(cos (* 2 x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow s 2) x)
(.f64 (.f64 s s) x)
(* (pow s 2) x)
(.f64 (.f64 s s) x)
(* (pow s 2) x)
(.f64 (.f64 s s) x)
(* (pow s 2) x)
(.f64 (.f64 s s) x)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(cos (* 2 x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(cos (* 2 x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(cos (* 2 x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(cos (* 2 x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow s 2) x)
(.f64 (.f64 s s) x)
(* (pow s 2) x)
(.f64 (.f64 s s) x)
(* (pow s 2) x)
(.f64 (.f64 s s) x)
(* (pow s 2) x)
(.f64 (.f64 s s) x)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(pow s 2)
(*.f64 s s)
(pow s 2)
(*.f64 s s)
(pow s 2)
(*.f64 s s)
(pow s 2)
(*.f64 s s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow s 2) x)
(.f64 (.f64 s s) x)
(* (pow s 2) x)
(.f64 (.f64 s s) x)
(* (pow s 2) x)
(.f64 (.f64 s s) x)
(* (pow s 2) x)
(.f64 (.f64 s s) x)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(pow s 2)
(*.f64 s s)
(pow s 2)
(*.f64 s s)
(pow s 2)
(*.f64 s s)
(pow s 2)
(*.f64 s s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow s 2) x)
(.f64 (.f64 s s) x)
(* (pow s 2) x)
(.f64 (.f64 s s) x)
(* (pow s 2) x)
(.f64 (.f64 s s) x)
(* (pow s 2) x)
(.f64 (.f64 s s) x)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(pow s 2)
(*.f64 s s)
(pow s 2)
(*.f64 s s)
(pow s 2)
(*.f64 s s)
(pow s 2)
(*.f64 s s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow s 2) x)
(.f64 (.f64 s s) x)
(* (pow s 2) x)
(.f64 (.f64 s s) x)
(* (pow s 2) x)
(.f64 (.f64 s s) x)
(* (pow s 2) x)
(.f64 (.f64 s s) x)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s)

rewrite160.0ms (1.6%)

Memory

20.5MiB live, 284.0MiB 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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eval166.0ms (1.7%)

Memory: -4.1MiB live, 411.7MiB allocated
Compiler: Compiled 23 459 to 2 481 computations (89.4% saved)

prune157.0ms (1.6%)

Memory

-12.0MiB live, 105.0MiB allocated

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	835	18	853
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	836	18	854

Accuracy

100.0%

Counts

854 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	85.1%	(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (.f64 x s) #s(literal 2 binary64))) c) c)
	77.0%	(/.f64 (/.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 c #s(literal -2 binary64)) x)) (*.f64 x s)) s)
▶	85.1%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) c) (.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c))
	96.5%	(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) (neg.f64 (pow.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))))
	85.4%	(/.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)))
	73.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) (.f64 x x)))
▶	78.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) (.f64 s s)))
	85.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) c) c))
▶	77.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 c c)) (.f64 x s)) s))
	80.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 (.f64 x (.f64 s s)) c)))
▶	97.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))))
	96.5%	(.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) (neg.f64 (cos.f64 (.f64 x #s(literal 2 binary64)))))
	96.4%	(.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))))
▶	58.4%	#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)))
	70.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x)) (.f64 (.f64 s c) c)) s))
	45.0%	#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)))
	38.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) 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)))

Compiler

Compiled 580 to 438 computations (24.5% saved)

simplify22.0ms (0.2%)

Memory

13.6MiB live, 13.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	300
0	71	296
1	133	282
2	269	278
3	579	278
4	909	278
5	923	278
6	923	278
7	1028	278
8	1028	278
0	1028	278

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

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

localize136.0ms (1.4%)

Memory

26.0MiB live, 178.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.16796875	(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) c)
accuracy	0.209316259768442	(pow.f64 (*.f64 x s) #s(literal 2 binary64))
accuracy	4.175640114479728	(.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) c)
accuracy	5.240445947602935	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) c) (.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c))
accuracy	0	(cos.f64 (*.f64 #s(literal 2 binary64) x))
accuracy	0.232753759768442	(pow.f64 (*.f64 c x) #s(literal 2 binary64))
accuracy	0.24354097752104825	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) (.f64 s s)))
accuracy	14.020917581810801	(.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) (*.f64 s s))
accuracy	0.24354097752104825	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 c c)) (.f64 x s)) s))
accuracy	4.292898246602779	(.f64 (.f64 (.f64 x (.f64 c c)) (*.f64 x s)) s)
accuracy	7.726101154382044	(.f64 (.f64 x (.f64 c c)) (.f64 x s))
accuracy	8.09912176763139	(.f64 x (.f64 c c))
accuracy	0.140625	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
accuracy	8.348043568661414	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c)
accuracy	10.40375534314755	(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s))
accuracy	15.794553214927685	#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 c x) s) (.f64 (*.f64 c x) s)))
accuracy	0.189785009768442	(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
accuracy	0.24354097752104825	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))))
accuracy	3.1259229828756534	(.f64 (.f64 c x) s)

Samples

107.0ms

256×

valid

Compiler

Compiled 526 to 75 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-mult: 36.0ms (44.2% of total)

ival-div: 24.0ms (29.5% of total)

ival-cos: 11.0ms (13.5% of total)

ival-pow2: 9.0ms (11% of total)

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

exact: 0.0ms (0% of total)

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

series73.0ms (0.7%)

Memory

-15.5MiB live, 106.7MiB allocated

Counts

24 → 660

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	c	@	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)) s) (* x (* c c)) (* (pow (* c x) 2) (* s s)) (pow (* c x) 2) (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/ (cos (* x 2)) c) (cos (* x 2)) (* x 2) (* (* c x) s) (* (* (* c x) s) (* (* c x) s)) (/ (/ (/ (/ 1 x) x) c) (* (* s c) s)) (* (* x (* c c)) (* x s)) (/ (cos (* 2 x)) (* (* (* x (* c c)) (* x s)) s)) (/ (cos (* 2 x)) (* (pow (* c x) 2) (* s s))) (* (pow (* x s) 2) c) (pow (* x s) 2))
7.0ms	s	@	0	((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (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)) s) (* x (* c c)) (* (pow (* c x) 2) (* s s)) (pow (* c x) 2) (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/ (cos (* x 2)) c) (cos (* x 2)) (* x 2) (* (* c x) s) (* (* (* c x) s) (* (* c x) s)) (/ (/ (/ (/ 1 x) x) c) (* (* s c) s)) (* (* x (* c c)) (* x s)) (/ (cos (* 2 x)) (* (* (* x (* c c)) (* x s)) s)) (/ (cos (* 2 x)) (* (pow (* c x) 2) (* s s))) (* (pow (* x s) 2) c) (pow (* x s) 2))
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)) s) (* x (* c c)) (* (pow (* c x) 2) (* s s)) (pow (* c x) 2) (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/ (cos (* x 2)) c) (cos (* x 2)) (* x 2) (* (* c x) s) (* (* (* c x) s) (* (* c x) s)) (/ (/ (/ (/ 1 x) x) c) (* (* s c) s)) (* (* x (* c c)) (* x s)) (/ (cos (* 2 x)) (* (* (* x (* c c)) (* x s)) s)) (/ (cos (* 2 x)) (* (pow (* c x) 2) (* s s))) (* (pow (* x s) 2) c) (pow (* x s) 2))
4.0ms	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)) s) (* x (* c c)) (* (pow (* c x) 2) (* s s)) (pow (* c x) 2) (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/ (cos (* x 2)) c) (cos (* x 2)) (* x 2) (* (* c x) s) (* (* (* c x) s) (* (* c x) s)) (/ (/ (/ (/ 1 x) x) c) (* (* s c) s)) (* (* x (* c c)) (* x s)) (/ (cos (* 2 x)) (* (* (* x (* c c)) (* x s)) s)) (/ (cos (* 2 x)) (* (pow (* c x) 2) (* s s))) (* (pow (* x s) 2) c) (pow (* x s) 2))
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)) s) (* x (* c c)) (* (pow (* c x) 2) (* s s)) (pow (* c x) 2) (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/ (cos (* x 2)) c) (cos (* x 2)) (* x 2) (* (* c x) s) (* (* (* c x) s) (* (* c x) s)) (/ (/ (/ (/ 1 x) x) c) (* (* s c) s)) (* (* x (* c c)) (* x s)) (/ (cos (* 2 x)) (* (* (* x (* c c)) (* x s)) s)) (/ (cos (* 2 x)) (* (pow (* c x) 2) (* s s))) (* (pow (* x s) 2) c) (pow (* x s) 2))

simplify249.0ms (2.5%)

Memory

-4.0MiB live, 308.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	7236
1	187	7236
2	555	7164
3	2107	7112
4	4319	7072
0	8187	7024

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) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (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)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (pow x 2))
(* (pow c 2) (pow x 2))
(* (pow c 2) (pow x 2))
(* (pow c 2) (pow x 2))
(/ 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)
(+ (* -2 (/ (pow x 2) c)) (/ 1 c))
(+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) c)) (* 2 (/ 1 c)))) (/ 1 c))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) c)) (* 2/3 (/ 1 c)))) (* 2 (/ 1 c)))) (/ 1 c))
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))))
(* (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)))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(* c (* (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)))
(* (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)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (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 (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) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (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)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (pow x 2))
(* (pow c 2) (pow x 2))
(* (pow c 2) (pow x 2))
(* (pow c 2) (pow x 2))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) c)
(/ (cos (* 2 x)) c)
(/ (cos (* 2 x)) c)
(/ (cos (* 2 x)) c)
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(* 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))))
(* (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)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* c (* (pow s 2) (pow x 2)))
(* c (* (pow s 2) (pow x 2)))
(* c (* (pow s 2) (pow x 2)))
(* c (* (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))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (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)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (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 (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) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (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)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (pow x 2))
(* (pow c 2) (pow x 2))
(* (pow c 2) (pow x 2))
(* (pow c 2) (pow x 2))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) c)
(/ (cos (* 2 x)) c)
(/ (cos (* 2 x)) c)
(/ (cos (* 2 x)) c)
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(* 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))))
(* (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)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* c (* (pow s 2) (pow x 2)))
(* c (* (pow s 2) (pow x 2)))
(* c (* (pow s 2) (pow x 2)))
(* c (* (pow s 2) (pow x 2)))
(* (pow s 2) (pow x 2))
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Outputs
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 s (.f64 c c)) x)) (.f64 x s))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c)) (*.f64 x x))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 x x))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (/.f64 (/.f64 (/.f64 (/.f64 x s) c) s) c) (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 (/.f64 #s(literal 1 binary64) s) c) s) c))) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* 2 x)
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(* 2 x)
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(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 s (.f64 (.f64 s (*.f64 c c)) x)) x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 s (.f64 (.f64 s (*.f64 c c)) x)) x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
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rewrite193.0ms (2%)

Memory

7.2MiB live, 286.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	240
0	71	220
1	232	192
2	1136	184
3	7961	184
0	8014	184

Stop Event

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

Counts

24 → 1 850

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

Outputs
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eval513.0ms (5.2%)

Memory: 20.7MiB live, 630.7MiB allocated
Compiler: Compiled 50 910 to 3 806 computations (92.5% saved)

prune172.0ms (1.7%)

Memory

-19.6MiB live, 329.4MiB allocated

Pruning

40 alts after pruning (39 fresh and 1 done)

	Pruned	Kept	Total
New	2 723	38	2 761
Fresh	12	1	13
Picked	4	1	5
Done	0	0	0
Total	2 739	40	2 779

Accuracy

100.0%

Counts

2 779 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.9%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 s (.f64 c x))) (.f64 s (*.f64 c x)))
	87.3%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 c x)) (.f64 (.f64 (*.f64 s c) s) x))
	72.5%	(/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) c) (.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) c))
	77.4%	(/.f64 (.f64 (pow.f64 (.f64 c x) #s(literal -2 binary64)) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 s s))
	77.2%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 x (.f64 c c)) (*.f64 x s)) s))
▶	97.7%	(/.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))))
	72.4%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 (.f64 x x) s) c) c) s))
	84.4%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c x) c) (.f64 x s)) s))
	83.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (neg.f64 s) c) s) (.f64 (.f64 (neg.f64 c) x) x)))
	73.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x x) c) (.f64 (.f64 s c) s)))
	93.4%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s (.f64 c x)) (.f64 c x)) s))
	80.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 (.f64 x (.f64 s s)) c)))
	94.8%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s c) x) (.f64 (*.f64 c x) s))))
	46.1%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 x (.f64 c c)) (*.f64 x s)) s))
	43.6%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) (.f64 s s)))
	50.8%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 x (.f64 c c)) (.f64 x s)) s))
	57.0%	(/.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))))
	59.5%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) (*.f64 s s)))
	64.2%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x (.f64 c c)) (*.f64 x s)) s))
▶	73.4%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))))
	64.9%	#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 s (.f64 c c)) x)) (.f64 x s)))
	45.0%	#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c)) (*.f64 x x)))
	73.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (.f64 s (.f64 c x)) #s(literal -2 binary64)))
	66.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 (.f64 (.f64 s c) s) x) #s(literal -1 binary64)) (.f64 c x)))
▶	66.5%	#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)))
	59.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 c x) #s(literal -2 binary64)) (.f64 s s)))
	72.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64)) c) c))
	59.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 c #s(literal -1 binary64)) (.f64 s c)) (.f64 (*.f64 x x) s)))
✓	58.4%	#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)))
	61.8%	#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)))
	61.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 c) x)) (.f64 (*.f64 s c) s)))
▶	69.3%	#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 (neg.f64 s) c) x) s)))
	58.4%	#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)))
	58.1%	#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)))
	61.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 c) x) x)) (.f64 (.f64 s c) s)))
	62.2%	#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 (neg.f64 c) x) x)))
	66.3%	#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))))
	67.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64))) x)))
	66.2%	#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)))
	60.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))))

Compiler

Compiled 1 194 to 917 computations (23.2% saved)

simplify121.0ms (1.2%)

Memory

17.4MiB live, 134.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	334
0	65	334
1	123	334
2	290	334
3	821	332
4	1891	332
5	2384	332
6	3386	332
7	4692	332
8	5705	332
9	7218	332
0	8116	332

Stop Event

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

Calls

Call 1

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

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

localize402.0ms (4.1%)

Memory

1.9MiB live, 224.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s)))
accuracy	0.189785009768442	(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
accuracy	0.24354097752104825	(/.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))))
accuracy	3.1259229828756534	(.f64 (.f64 c x) s)
accuracy	0	(*.f64 c c)
accuracy	0.21455004884221007	(pow.f64 (*.f64 s x) #s(literal -2 binary64))
accuracy	14.32148482712658	(/.f64 (pow.f64 (.f64 s x) #s(literal -2 binary64)) (.f64 c c))
accuracy	15.794553214927685	#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)))
accuracy	0.5291162734841452	(.f64 (.f64 (*.f64 (neg.f64 s) c) x) s)
accuracy	4.68831495188807	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (.f64 (.f64 (*.f64 (neg.f64 s) c) x) s))
accuracy	6.765610629103806	(.f64 (.f64 (neg.f64 s) c) x)
accuracy	15.794553214927685	#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 (neg.f64 s) c) x) s)))
accuracy	0.189785009768442	(.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))
accuracy	0.24354097752104825	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))))
accuracy	3.1259229828756534	(.f64 (.f64 c x) s)
accuracy	31.80720679518381	#s(approx (cos (* 2 x)) #s(literal 1 binary64))
accuracy	0	(cos.f64 (*.f64 x #s(literal 2 binary64)))
accuracy	0.125	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 s (.f64 c x))) (.f64 s (*.f64 c x)))
accuracy	0.6288198819010381	(/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 s (*.f64 c x)))
accuracy	3.1259229828756534	(.f64 s (.f64 c x))

Samples

371.0ms

256×

valid

Compiler

Compiled 509 to 73 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 347.0ms

ival-mult: 306.0ms (88.3% of total)

ival-cos: 19.0ms (5.5% of total)

ival-div: 12.0ms (3.5% of total)

ival-pow2: 4.0ms (1.2% of total)

ival-pow: 3.0ms (0.9% of total)

ival-add: 1.0ms (0.3% of total)

exact: 1.0ms (0.3% of total)

ival-neg: 1.0ms (0.3% of total)

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

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

series90.0ms (0.9%)

Memory

-16.7MiB live, 203.0MiB allocated

Counts

23 → 648

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	s	@	0	((/ (/ (cos (* x 2)) (* s (* c x))) (* s (* c x))) (/ (cos (* x 2)) (* s (* c x))) (cos (* x 2)) (* x 2) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* c x) s) (* (* c x) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ -1 c) x) (/ -1 c) (* (* (* (neg s) c) x) s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow (* s x) -2) (* s x) (* c c) (/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (+ x x)) (* s (* c x)) (* (* c x) s) (* (* (neg s) c) x) (/ (/ (/ -1 c) x) (* (* (* (neg s) c) x) s)) (/ (pow (* s x) -2) (* c c)))
11.0ms	c	@	0	((/ (/ (cos (* x 2)) (* s (* c x))) (* s (* c x))) (/ (cos (* x 2)) (* s (* c x))) (cos (* x 2)) (* x 2) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* c x) s) (* (* c x) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ -1 c) x) (/ -1 c) (* (* (* (neg s) c) x) s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow (* s x) -2) (* s x) (* c c) (/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (+ x x)) (* s (* c x)) (* (* c x) s) (* (* (neg s) c) x) (/ (/ (/ -1 c) x) (* (* (* (neg s) c) x) s)) (/ (pow (* s x) -2) (* c c)))
9.0ms	s	@	-inf	((/ (/ (cos (* x 2)) (* s (* c x))) (* s (* c x))) (/ (cos (* x 2)) (* s (* c x))) (cos (* x 2)) (* x 2) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* c x) s) (* (* c x) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ -1 c) x) (/ -1 c) (* (* (* (neg s) c) x) s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow (* s x) -2) (* s x) (* c c) (/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (+ x x)) (* s (* c x)) (* (* c x) s) (* (* (neg s) c) x) (/ (/ (/ -1 c) x) (* (* (* (neg s) c) x) s)) (/ (pow (* s x) -2) (* c c)))
7.0ms	x	@	inf	((/ (/ (cos (* x 2)) (* s (* c x))) (* s (* c x))) (/ (cos (* x 2)) (* s (* c x))) (cos (* x 2)) (* x 2) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* c x) s) (* (* c x) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ -1 c) x) (/ -1 c) (* (* (* (neg s) c) x) s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow (* s x) -2) (* s x) (* c c) (/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (+ x x)) (* s (* c x)) (* (* c x) s) (* (* (neg s) c) x) (/ (/ (/ -1 c) x) (* (* (* (neg s) c) x) s)) (/ (pow (* s x) -2) (* c c)))
5.0ms	c	@	-inf	((/ (/ (cos (* x 2)) (* s (* c x))) (* s (* c x))) (/ (cos (* x 2)) (* s (* c x))) (cos (* x 2)) (* x 2) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* c x) s) (* (* c x) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ -1 c) x) (/ -1 c) (* (* (* (neg s) c) x) s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow (* s x) -2) (* s x) (* c c) (/ (cos (+ x x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (+ x x)) (* s (* c x)) (* (* c x) s) (* (* (neg s) c) x) (/ (/ (/ -1 c) x) (* (* (* (neg s) c) x) s)) (/ (pow (* s x) -2) (* c c)))

simplify305.0ms (3.1%)

Memory

27.5MiB live, 323.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	6972
1	216	6972
2	687	6896
3	2606	6842
4	4607	6842
0	8259	6788

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 648

Calls

Call 1

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

rewrite91.0ms (0.9%)

Memory

5.3MiB live, 94.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	258
0	65	238
1	220	238
0	1175	238

Stop Event

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

Counts

23 → 311

Calls

Call 1

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

Outputs
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eval279.0ms (2.8%)

Memory: -25.2MiB live, 264.0MiB allocated
Compiler: Compiled 20 286 to 1 137 computations (94.4% saved)

prune109.0ms (1.1%)

Memory

18.4MiB live, 258.1MiB allocated

Pruning

43 alts after pruning (41 fresh and 2 done)

	Pruned	Kept	Total
New	1 193	29	1 222
Fresh	22	12	34
Picked	3	2	5
Done	1	0	1
Total	1 219	43	1 262

Accuracy

100.0%

Counts

1 262 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.9%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x)))
	93.0%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 c x) s) s)) (*.f64 c x))
	55.0%	(/.f64 (/.f64 #s(approx (cos (* x 2)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 s (.f64 c x))) (.f64 s (*.f64 c x)))
	73.4%	(/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x)))
	90.9%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) s) (*.f64 c s)) x)))
	93.0%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) s) s) (*.f64 c x))))
	90.8%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) s) c) (*.f64 s x))))
	73.9%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x x) c) (.f64 (*.f64 s c) s))))
	94.9%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s x) c) (.f64 (*.f64 c x) s))))
	73.5%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c s) (.f64 c s)) (*.f64 x x))))
	83.4%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 c x) (.f64 (.f64 c x) (*.f64 s s)))))
	83.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (neg.f64 s) c) s) (.f64 (.f64 (neg.f64 c) x) x)))
	53.2%	(/.f64 #s(approx (/ (cos (* x 2)) (* s (* c x))) (/.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 s c))) x)) (.f64 s (*.f64 c x)))
	51.9%	(/.f64 #s(approx (cos (+ x x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))))
	57.0%	(/.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 c x) s) (.f64 (*.f64 c x) s))))
	50.8%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 x (.f64 c c)) (.f64 x s)) s))
	59.5%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) (*.f64 s s)))
▶	64.2%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x (.f64 c c)) (*.f64 x s)) s))
	69.9%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) s) (*.f64 c s)) x)))
	70.6%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) s) s) (*.f64 c x))))
	72.4%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) s) c) (*.f64 s x))))
	58.1%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x x) c) (.f64 (*.f64 s c) s))))
	73.1%	(/.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 c x) s))))
✓	73.4%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))))
	60.5%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c s) (.f64 c s)) (*.f64 x x))))
	63.5%	(/.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)))))
	68.9%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 c s) (.f64 x (.f64 (*.f64 c x) s)))))
	66.5%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 c c) (.f64 (.f64 s x) (*.f64 s x)))))
▶	69.3%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 x (.f64 c (.f64 (.f64 (*.f64 c x) s) s)))))
	68.2%	#s(approx (/ (/ (cos (* x 2)) (* s (* c x))) (* s (* c x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x s) s) c) x)) c))
	64.9%	#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 s (.f64 c c)) x)) (.f64 x s)))
	45.0%	#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c)) (*.f64 x x)))
▶	66.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 (.f64 (.f64 s c) s) x) #s(literal -1 binary64)) (.f64 c x)))
✓	66.5%	#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)))
	59.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 c x) #s(literal -2 binary64)) (.f64 s s)))
	72.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64)) c) c))
▶	71.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (.f64 (.f64 (*.f64 (neg.f64 s) c) x) s)) x))
	63.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (.f64 (.f64 s (neg.f64 s)) (*.f64 c x))))
	58.4%	#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)))
	61.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 c) x) x)) (.f64 (.f64 s c) s)))
	71.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) c) (.f64 (.f64 (.f64 (.f64 (neg.f64 s) c) x) s) x)))
	66.2%	#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)))
	71.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 (.f64 (*.f64 (neg.f64 s) c) x) s) x) c)))

Compiler

Compiled 1 331 to 977 computations (26.6% saved)

simplify166.0ms (1.7%)

Memory

-23.8MiB live, 162.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (*.f64 s c) s) x)
cost-diff	0	(pow.f64 (.f64 (.f64 (*.f64 s c) s) x) #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 (.f64 (.f64 s c) s) x) #s(literal -1 binary64)) (.f64 c x)))
cost-diff	5760	(/.f64 (pow.f64 (.f64 (.f64 (.f64 s c) s) x) #s(literal -1 binary64)) (.f64 c x))
cost-diff	0	(.f64 (.f64 (*.f64 (neg.f64 s) c) x) s)
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 (/.f64 #s(literal -1 binary64) c) (.f64 (.f64 (*.f64 (neg.f64 s) c) x) s)) x))
cost-diff	1152	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (.f64 (.f64 (*.f64 (neg.f64 s) c) x) s)) 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 (.f64 (.f64 x (.f64 c c)) (*.f64 x s)) s)
cost-diff	0	#s(approx (cos (* 2 x)) #s(literal 1 binary64))
cost-diff	0	(.f64 x (.f64 c (.f64 (.f64 (*.f64 c x) s) s)))
cost-diff	0	#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 x (.f64 c (.f64 (.f64 (*.f64 c x) s) 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 x (.f64 c (.f64 (.f64 (*.f64 c x) s) s)))))
cost-diff	0	(.f64 s (.f64 c x))
cost-diff	0	(cos.f64 (+.f64 x x))
cost-diff	0	(/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x)))
cost-diff	0	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	359
0	76	361
1	151	361
2	366	361
3	1035	356
4	1662	356
5	2245	356
6	3539	356
7	4901	356
8	6506	356
0	8060	356

Stop Event

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

Calls

Call 1

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

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

localize207.0ms (2.1%)

Memory

14.1MiB live, 261.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.46395867376730426	(pow.f64 (.f64 (.f64 (*.f64 s c) s) x) #s(literal -1 binary64))
accuracy	4.1692153337916	(/.f64 (pow.f64 (.f64 (.f64 (.f64 s c) s) x) #s(literal -1 binary64)) (.f64 c x))
accuracy	5.924443630357249	(.f64 (.f64 (*.f64 s c) s) x)
accuracy	15.794553214927685	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 (.f64 (.f64 s c) s) x) #s(literal -1 binary64)) (.f64 c x)))
accuracy	3.6981072086472175	(/.f64 (/.f64 #s(literal -1 binary64) c) (.f64 (.f64 (*.f64 (neg.f64 s) c) x) s))
accuracy	4.561961560650429	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (.f64 (.f64 (*.f64 (neg.f64 s) c) x) s)) x)
accuracy	6.765610629103806	(.f64 (.f64 (neg.f64 s) c) x)
accuracy	15.794553214927685	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (.f64 (.f64 (*.f64 (neg.f64 s) c) x) s)) x))
accuracy	4.292898246602779	(.f64 (.f64 (.f64 x (.f64 c c)) (*.f64 x s)) s)
accuracy	7.726101154382044	(.f64 (.f64 x (.f64 c c)) (.f64 x s))
accuracy	8.09912176763139	(.f64 x (.f64 c c))
accuracy	31.80720679518381	#s(approx (cos (* 2 x)) #s(literal 1 binary64))
accuracy	3.1259229828756534	(.f64 (.f64 c x) s)
accuracy	3.59435511243663	(.f64 c (.f64 (.f64 (.f64 c x) s) s))
accuracy	4.576599418749598	(.f64 x (.f64 c (.f64 (.f64 (*.f64 c x) s) s)))
accuracy	31.80720679518381	#s(approx (cos (* 2 x)) #s(literal 1 binary64))
accuracy	0	(cos.f64 (+.f64 x x))
accuracy	0.125	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x)))
accuracy	0.6288198819010381	(/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x)))
accuracy	3.1259229828756534	(.f64 s (.f64 c x))

Samples

104.0ms

256×

valid

Compiler

Compiled 589 to 82 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-mult: 29.0ms (35.4% of total)

ival-add: 17.0ms (20.8% of total)

ival-cos: 14.0ms (17.1% of total)

ival-div: 13.0ms (15.9% of total)

ival-pow2: 4.0ms (4.9% of total)

ival-pow: 2.0ms (2.4% of total)

ival-neg: 1.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

series73.0ms (0.7%)

Memory

-1.9MiB live, 154.9MiB allocated

Counts

23 → 744

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	c	@	-inf	((/ (/ (cos (+ x x)) (* s (* c x))) (* s (* c x))) (/ (cos (+ x x)) (* s (* c x))) (cos (+ x x)) (* s (* c x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (* c (* (* (* c x) s) s))) (* (* (* x (* c c)) (* x s)) s) (* (* x (* c c)) (* x s)) (* x (* c c)) (/ (/ (/ -1 c) (* (* (* (neg s) c) x) s)) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ -1 c) (* (* (* (neg s) c) x) s) (/ (pow (* (* (* s c) s) x) -1) (* c x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow (* (* (* s c) s) x) -1) (* (* (* s c) s) x) (* c (* (* (* c x) s) s)) (* (* c x) s) (* (* (neg s) c) x) (/ (/ -1 c) (* (* (* (neg s) c) x) s)))
7.0ms	x	@	inf	((/ (/ (cos (+ x x)) (* s (* c x))) (* s (* c x))) (/ (cos (+ x x)) (* s (* c x))) (cos (+ x x)) (* s (* c x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (* c (* (* (* c x) s) s))) (* (* (* x (* c c)) (* x s)) s) (* (* x (* c c)) (* x s)) (* x (* c c)) (/ (/ (/ -1 c) (* (* (* (neg s) c) x) s)) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ -1 c) (* (* (* (neg s) c) x) s) (/ (pow (* (* (* s c) s) x) -1) (* c x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow (* (* (* s c) s) x) -1) (* (* (* s c) s) x) (* c (* (* (* c x) s) s)) (* (* c x) s) (* (* (neg s) c) x) (/ (/ -1 c) (* (* (* (neg s) c) x) s)))
7.0ms	s	@	-inf	((/ (/ (cos (+ x x)) (* s (* c x))) (* s (* c x))) (/ (cos (+ x x)) (* s (* c x))) (cos (+ x x)) (* s (* c x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (* c (* (* (* c x) s) s))) (* (* (* x (* c c)) (* x s)) s) (* (* x (* c c)) (* x s)) (* x (* c c)) (/ (/ (/ -1 c) (* (* (* (neg s) c) x) s)) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ -1 c) (* (* (* (neg s) c) x) s) (/ (pow (* (* (* s c) s) x) -1) (* c x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow (* (* (* s c) s) x) -1) (* (* (* s c) s) x) (* c (* (* (* c x) s) s)) (* (* c x) s) (* (* (neg s) c) x) (/ (/ -1 c) (* (* (* (neg s) c) x) s)))
6.0ms	x	@	-inf	((/ (/ (cos (+ x x)) (* s (* c x))) (* s (* c x))) (/ (cos (+ x x)) (* s (* c x))) (cos (+ x x)) (* s (* c x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (* c (* (* (* c x) s) s))) (* (* (* x (* c c)) (* x s)) s) (* (* x (* c c)) (* x s)) (* x (* c c)) (/ (/ (/ -1 c) (* (* (* (neg s) c) x) s)) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ -1 c) (* (* (* (neg s) c) x) s) (/ (pow (* (* (* s c) s) x) -1) (* c x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow (* (* (* s c) s) x) -1) (* (* (* s c) s) x) (* c (* (* (* c x) s) s)) (* (* c x) s) (* (* (neg s) c) x) (/ (/ -1 c) (* (* (* (neg s) c) x) s)))
5.0ms	c	@	inf	((/ (/ (cos (+ x x)) (* s (* c x))) (* s (* c x))) (/ (cos (+ x x)) (* s (* c x))) (cos (+ x x)) (* s (* c x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (* c (* (* (* c x) s) s))) (* (* (* x (* c c)) (* x s)) s) (* (* x (* c c)) (* x s)) (* x (* c c)) (/ (/ (/ -1 c) (* (* (* (neg s) c) x) s)) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ -1 c) (* (* (* (neg s) c) x) s) (/ (pow (* (* (* s c) s) x) -1) (* c x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow (* (* (* s c) s) x) -1) (* (* (* s c) s) x) (* c (* (* (* c x) s) s)) (* (* c x) s) (* (* (neg s) c) x) (/ (/ -1 c) (* (* (* (neg s) c) x) s)))

simplify287.0ms (2.9%)

Memory

17.0MiB live, 378.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	7908
1	227	7908
2	724	7846
3	2638	7802
4	4622	7802
0	8275	7760

Stop Event

1×	iter limit
1×	node limit

Counts

744 → 744

Calls

Call 1

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

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

rewrite73.0ms (0.7%)

Memory

-26.6MiB live, 167.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	277
0	74	279
1	234	222
0	1233	222

Stop Event

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

Counts

23 → 422

Calls

Call 1

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

Outputs
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eval140.0ms (1.4%)

Memory: -9.8MiB live, 359.0MiB allocated
Compiler: Compiled 19 779 to 1 258 computations (93.6% saved)

prune207.0ms (2.1%)

Memory

35.0MiB live, 429.5MiB allocated

Pruning

42 alts after pruning (38 fresh and 4 done)

	Pruned	Kept	Total
New	1 204	17	1 221
Fresh	15	21	36
Picked	3	2	5
Done	0	2	2
Total	1 222	42	1 264

Accuracy

100.0%

Counts

1 264 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.9%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x)))
	85.9%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (*.f64 c s) s) x) c)) x)
	55.0%	(/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 s (.f64 c x))) (.f64 s (*.f64 c x)))
	73.4%	(/.f64 (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x)))
	90.9%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) s) (*.f64 c s)) x)))
	93.0%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) s) s) (*.f64 c x))))
	90.8%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) s) c) (*.f64 s x))))
	73.9%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x x) c) (.f64 (*.f64 s c) s))))
	94.9%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s x) c) (.f64 (*.f64 c x) s))))
	73.5%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c s) (.f64 c s)) (*.f64 x x))))
	83.4%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 c x) (.f64 (.f64 c x) (*.f64 s s)))))
	83.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (neg.f64 s) c) s) (.f64 (.f64 (neg.f64 c) x) x)))
	53.2%	(/.f64 #s(approx (/ (cos (+ x x)) (* s (* c x))) (/.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 s c))) x)) (.f64 s (*.f64 c x)))
	51.9%	(/.f64 #s(approx (cos (+ x x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))))
	57.0%	(/.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 c x) s) (.f64 (*.f64 c x) s))))
	53.4%	(/.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 x (.f64 c (.f64 (.f64 (*.f64 c x) s) s)))))
	59.5%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) (*.f64 s s)))
	62.3%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (*.f64 s s) x) x) c) c))
	64.3%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (*.f64 c c) x) s) x) s))
	67.0%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c x) c) (*.f64 x s)) s))
	66.5%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 x (.f64 (.f64 (*.f64 c s) s) x)) c))
	68.9%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 c s) (.f64 x (.f64 (*.f64 c x) s))))
	66.5%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 c c) (.f64 (.f64 s x) (*.f64 s x))))
	59.2%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 #s(approx ( (* x (* c c)) (* x s)) (.f64 (.f64 (.f64 x x) c) (.f64 s c))) s))
	69.9%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) s) (*.f64 c s)) x)))
	72.4%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) s) c) (*.f64 s x))))
✓	73.4%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))))
	63.5%	(/.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)))))
	70.9%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 x (.f64 c (.f64 (.f64 (*.f64 s x) c) s)))))
✓	69.3%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 x (.f64 c (.f64 (.f64 (*.f64 c x) s) s)))))
	66.6%	#s(approx (/ (/ (cos (+ x x)) (* s (* c x))) (* s (* c x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x s) x)) (.f64 (.f64 s c) c)))
	68.2%	#s(approx (/ (/ (cos (* x 2)) (* s (* c x))) (* s (* c x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x s) s) c) x)) c))
	64.9%	#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 s (.f64 c c)) x)) (.f64 x s)))
	45.0%	#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c)) (*.f64 x x)))
✓	66.5%	#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)))
	59.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 c x) #s(literal -2 binary64)) (.f64 s s)))
	68.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (*.f64 (neg.f64 s) c)) s) x))
	63.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (.f64 (.f64 s (neg.f64 s)) (*.f64 c x))) x))
	58.4%	#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)))
	66.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c s) s) x)) (.f64 c x)))
	61.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 c) x) x)) (.f64 (.f64 s c) s)))
	66.2%	#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)))

Compiler

Compiled 2 279 to 843 computations (63% saved)

regimes163.0ms (1.7%)

Memory

-14.3MiB live, 232.1MiB allocated

Counts

103 → 1

Calls

Call 1

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

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

Calls

6 calls:

30.0ms	x
29.0ms	(pow.f64 s #s(literal 2 binary64))
27.0ms	c
27.0ms	s
23.0ms	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))

Results

Accuracy	Segments	Branch
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)

regimes136.0ms (1.4%)

Memory

-14.7MiB live, 183.7MiB allocated

Counts

84 → 1

Calls

Call 1

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

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))))

Calls

6 calls:

25.0ms	(/.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)))
23.0ms	s
22.0ms	x
22.0ms	c
20.0ms	(pow.f64 s #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
97.7%	1	`s`
97.7%	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)))`
97.7%	1	`(pow.f64 s #s(literal 2 binary64))`
97.7%	1	`x`
97.7%	1	`c`
97.7%	1	`(pow.f64 c #s(literal 2 binary64))`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes134.0ms (1.4%)

Memory

8.8MiB live, 129.1MiB allocated

Counts

68 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

35.0ms	(pow.f64 s #s(literal 2 binary64))
27.0ms	s
21.0ms	c
18.0ms	x
15.0ms	(pow.f64 c #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
93.6%	2	`s`
89.5%	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)))`
93.6%	2	`(pow.f64 s #s(literal 2 binary64))`
95.5%	3	`x`
89.0%	2	`c`
89.0%	2	`(pow.f64 c #s(literal 2 binary64))`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes133.0ms (1.3%)

Memory

3.3MiB live, 80.5MiB allocated

Counts

67 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

60.0ms	s
53.0ms	(pow.f64 s #s(literal 2 binary64))
17.0ms	x

Results

Accuracy	Segments	Branch
93.6%	2	`s`
93.6%	2	`(pow.f64 s #s(literal 2 binary64))`
93.0%	2	`x`

Compiler

Compiled 5 to 11 computations (-120% saved)

regimes162.0ms (1.6%)

Memory

5.2MiB live, 125.9MiB allocated

Counts

66 → 2

Calls

Call 1

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

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

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

Calls

6 calls:

64.0ms	s
26.0ms	(pow.f64 c #s(literal 2 binary64))
22.0ms	c
17.0ms	x
16.0ms	(pow.f64 s #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
80.3%	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)))`
73.4%	1	`(pow.f64 c #s(literal 2 binary64))`
73.4%	1	`c`
76.5%	2	`x`
73.4%	1	`s`
73.4%	1	`(pow.f64 s #s(literal 2 binary64))`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes25.0ms (0.3%)

Memory

-11.8MiB live, 25.7MiB allocated

Counts

55 → 2

Calls

Call 1

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

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

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

Calls

1 calls:

23.0ms

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

Results

Accuracy	Segments	Branch
80.2%	2	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes55.0ms (0.6%)

Memory

27.2MiB live, 65.5MiB allocated

Counts

32 → 1

Calls

Call 1

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

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

Calls

6 calls:

12.0ms	c
9.0ms	x
9.0ms	s
8.0ms	(pow.f64 s #s(literal 2 binary64))
7.0ms	(pow.f64 c #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
73.4%	1	`s`
73.4%	1	`(pow.f64 s #s(literal 2 binary64))`
73.4%	1	`c`
73.4%	1	`(pow.f64 c #s(literal 2 binary64))`
73.4%	1	`x`
73.4%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes48.0ms (0.5%)

Memory

-21.3MiB live, 66.5MiB allocated

Counts

26 → 1

Calls

Call 1

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

Calls

6 calls:

11.0ms	x
8.0ms	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
7.0ms	s
7.0ms	c
7.0ms	(pow.f64 s #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
73.4%	1	`s`
73.4%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
73.4%	1	`c`
73.4%	1	`(pow.f64 c #s(literal 2 binary64))`
73.4%	1	`(pow.f64 s #s(literal 2 binary64))`
73.4%	1	`x`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes15.0ms (0.2%)

Memory

16.0MiB live, 16.0MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
70.9%	1	`s`
73.7%	2	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
70.9%	1	`(pow.f64 s #s(literal 2 binary64))`
72.9%	2	`x`
73.1%	2	`c`
73.1%	2	`(pow.f64 c #s(literal 2 binary64))`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes17.0ms (0.2%)

Memory

-23.3MiB live, 16.3MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

Calls

4 calls:

12.0ms	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
2.0ms	x
2.0ms	c
1.0ms	(pow.f64 c #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
70.9%	1	`x`
70.9%	1	`c`
70.9%	1	`(pow.f64 c #s(literal 2 binary64))`
70.9%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`

Compiler

Compiled 21 to 23 computations (-9.5% saved)

regimes8.0ms (0.1%)

Memory

17.5MiB live, 17.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
69.3%	1	`x`
69.3%	1	`s`
69.3%	1	`(pow.f64 s #s(literal 2 binary64))`
69.3%	1	`c`
69.3%	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)))`
69.3%	1	`(pow.f64 c #s(literal 2 binary64))`

Compiler

Compiled 25 to 31 computations (-24% saved)

bsearch32.0ms (0.3%)

Memory

-6.9MiB live, 31.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	4.2067567594268475e+87	1.5232268218962421e+88
13.0ms	3.777099212841566e-64	6.923622302144171e-62

Samples

22.0ms

192×

valid

Compiler

Compiled 378 to 292 computations (22.8% saved)

Precisions

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

ival-mult: 4.0ms (31.9% of total)

ival-cos: 3.0ms (24% of total)

ival-pow2: 3.0ms (24% of total)

ival-div: 1.0ms (8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.3931166393968407e+307	+inf

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.187131550517448e-33	0.0

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.187131550517448e-33	0.0

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.325424676136737e+297	+inf

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify27.0ms (0.3%)

Memory

-5.7MiB live, 36.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	531
1	116	531

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x)))
(/.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 2593742798915883/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 (.f64 s x) #s(literal -2 binary64)) c) c)) (if (<=.f64 x #s(literal 11000000000000000437007501409046154838060707357592223750109077545683222213263599326986240 binary64)) (/.f64 (cos.f64 (+.f64 x x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c s) (.f64 c s)) (.f64 x x)))) (/.f64 (cos.f64 (+.f64 x x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 c x) (.f64 (.f64 c x) (*.f64 s s)))))))
(if (<=.f64 (pow.f64 s #s(literal 2 binary64)) #s(literal 50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 binary64)) (/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 c x) (.f64 (.f64 c x) (.f64 s s))))) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64)) c) c)))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -1461501637330903/365375409332725729550921208179070754913983135744 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 x (.f64 c (.f64 (.f64 (.f64 c x) s) s))))) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (.f64 s (.f64 c x)) #s(literal -2 binary64))))
(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 -1461501637330903/365375409332725729550921208179070754913983135744 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 x (.f64 c (.f64 (.f64 (.f64 c x) s) s))))) (/.f64 (/.f64 #s(approx (cos ( x 2)) #s(literal 1 binary64)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x))))
(/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (.f64 s (.f64 c x))) (.f64 s (.f64 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 c x) s) (.f64 (*.f64 c x) s))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal 9999999999999999595662034753429788238255624467393741467120915117996487670031669885400803025551745174706847878231119663145222863482996149222332143382301002459214758820269116923021527058285459686414683385913622455551313826420028155008403585629126369847605750170289266545852965785882018353801250996224 binary64)) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 c c) (.f64 (.f64 s x) (.f64 s x))))) (/.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 x (.f64 c (.f64 (.f64 (*.f64 s x) c) s))))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 x (.f64 c (.f64 (.f64 (*.f64 s x) c) s)))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 x (.f64 c (.f64 (.f64 (*.f64 c x) s) s)))))

Outputs
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x)))
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c x) s)) (.f64 (.f64 c x) s))
(/.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 2593742798915883/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 (.f64 s x) #s(literal -2 binary64)) c) c)) (if (<=.f64 x #s(literal 11000000000000000437007501409046154838060707357592223750109077545683222213263599326986240 binary64)) (/.f64 (cos.f64 (+.f64 x x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c s) (.f64 c s)) (.f64 x x)))) (/.f64 (cos.f64 (+.f64 x x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 c x) (.f64 (.f64 c x) (*.f64 s s)))))))
(if (<=.f64 x #s(literal 2593742798915883/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 (.f64 s x) #s(literal -2 binary64)) c) c)) (if (<=.f64 x #s(literal 11000000000000000437007501409046154838060707357592223750109077545683222213263599326986240 binary64)) (/.f64 (cos.f64 (+.f64 x x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 x x) (.f64 (.f64 c s) (.f64 c s))))) (/.f64 (cos.f64 (+.f64 x x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s s) (.f64 c x)) (*.f64 c x))))))
(if (<=.f64 (pow.f64 s #s(literal 2 binary64)) #s(literal 50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 binary64)) (/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 c x) (.f64 (.f64 c x) (.f64 s s))))) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64)) c) c)))
(if (<=.f64 (pow.f64 s #s(literal 2 binary64)) #s(literal 50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 binary64)) (/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s s) (.f64 c x)) (.f64 c x)))) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64)) c) c)))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -1461501637330903/365375409332725729550921208179070754913983135744 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 x (.f64 c (.f64 (.f64 (.f64 c x) s) s))))) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (.f64 s (.f64 c x)) #s(literal -2 binary64))))
(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 -1461501637330903/365375409332725729550921208179070754913983135744 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 (.f64 (.f64 c x) s) s) c) 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))))
(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 -1461501637330903/365375409332725729550921208179070754913983135744 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 x (.f64 c (.f64 (.f64 (.f64 c x) s) s))))) (/.f64 (/.f64 #s(approx (cos ( x 2)) #s(literal 1 binary64)) (.f64 s (.f64 c x))) (.f64 s (.f64 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 -1461501637330903/365375409332725729550921208179070754913983135744 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 (.f64 (.f64 c x) s) s) c) x))) (/.f64 (/.f64 #s(approx (cos ( x 2)) #s(literal 1 binary64)) (.f64 (.f64 c x) s)) (.f64 (.f64 c x) s)))
(/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x)))
(/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (.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 c x) s) (.f64 (*.f64 c x) s))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal 9999999999999999595662034753429788238255624467393741467120915117996487670031669885400803025551745174706847878231119663145222863482996149222332143382301002459214758820269116923021527058285459686414683385913622455551313826420028155008403585629126369847605750170289266545852965785882018353801250996224 binary64)) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 c c) (.f64 (.f64 s x) (.f64 s x))))) (/.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 x (.f64 c (.f64 (.f64 (*.f64 s x) c) s))))))
(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 9999999999999999595662034753429788238255624467393741467120915117996487670031669885400803025551745174706847878231119663145222863482996149222332143382301002459214758820269116923021527058285459686414683385913622455551313826420028155008403585629126369847605750170289266545852965785882018353801250996224 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) (.f64 s x)) (.f64 c c)))) (/.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 (*.f64 s x) c) s) c) x))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 x (.f64 c (.f64 (.f64 (*.f64 s 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 x) c) s) c) x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 x (.f64 c (.f64 (.f64 (*.f64 c x) s) s)))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 (*.f64 c x) s) s) c) x)))

soundness1.7s (17.3%)

Memory

16.4MiB live, 617.8MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	277
0	74	279
1	234	222
0	1233	222
0	90	7908
1	227	7908
2	724	7846
3	2638	7802
4	4622	7802
0	8275	7760
0	42	258
0	65	238
1	220	238
0	1175	238
0	86	6972
1	216	6972
2	687	6896
3	2606	6842
4	4607	6842
0	8259	6788
0	50	1512
1	117	1512
2	383	1498
3	1949	1488
4	4763	1480
5	6909	1480
0	8006	1468
0	12	52
0	20	52
1	55	52
2	217	48
3	1946	42
0	8396	42
0	43	240
0	71	220
1	232	192
2	1136	184
3	7961	184
0	8014	184
0	77	7236
1	187	7236
2	555	7164
3	2107	7112
4	4319	7072
0	8187	7024

Stop Event

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

Compiler

Compiled 1 264 to 641 computations (49.3% saved)

preprocess341.0ms (3.5%)

Memory: -22.4MiB live, 295.5MiB allocated
Remove: (abs x)
Compiler: Compiled 1 804 to 816 computations (54.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze179.0ms (1.8%)

sample1.5s (15.3%)

explain231.0ms (2.3%)

preprocess58.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify15.0ms (0.2%)

localize58.0ms (0.6%)

series55.0ms (0.6%)

simplify360.0ms (3.7%)

rewrite160.0ms (1.6%)

eval166.0ms (1.7%)

prune157.0ms (1.6%)

simplify22.0ms (0.2%)

localize136.0ms (1.4%)

series73.0ms (0.7%)

simplify249.0ms (2.5%)

rewrite193.0ms (2%)

eval513.0ms (5.2%)

prune172.0ms (1.7%)

simplify121.0ms (1.2%)

localize402.0ms (4.1%)

series90.0ms (0.9%)

simplify305.0ms (3.1%)

rewrite91.0ms (0.9%)

eval279.0ms (2.8%)

prune109.0ms (1.1%)

simplify166.0ms (1.7%)

localize207.0ms (2.1%)

series73.0ms (0.7%)

simplify287.0ms (2.9%)

rewrite73.0ms (0.7%)

eval140.0ms (1.4%)

prune207.0ms (2.1%)

regimes163.0ms (1.7%)

regimes136.0ms (1.4%)

regimes134.0ms (1.4%)

regimes133.0ms (1.3%)

regimes162.0ms (1.6%)

regimes25.0ms (0.3%)

regimes55.0ms (0.6%)

regimes48.0ms (0.5%)

regimes15.0ms (0.2%)

regimes17.0ms (0.2%)

regimes8.0ms (0.1%)

bsearch32.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify27.0ms (0.3%)

soundness1.7s (17.3%)

preprocess341.0ms (3.5%)

end0.0ms (0%)

Profiling