Metrics for VandenBroeck and Keller, Equation (23)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze375.0ms (2.4%)

Memory

14.8MiB live, 445.6MiB 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
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	6
15.6%	15.6%	84.3%	0.1%	0%	0%	0%	7
16.7%	15.6%	78%	0.1%	0%	6.2%	0%	8
25%	23.4%	70.2%	0.1%	0%	6.2%	0%	9
29.7%	26.9%	63.6%	0.1%	0%	9.4%	0%	10
30.8%	26.9%	60.5%	0.1%	0%	12.5%	0%	11
35.9%	31.4%	56%	0.1%	0%	12.5%	0%	12

Compiler

Compiled 29 to 22 computations (24.1% saved)

sample2.2s (14.4%)

Memory

69.2MiB live, 1 889.2MiB allocated

Samples

1.4s	8 256×	0	valid
105.0ms	332×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-mult: 236.0ms (19.5% of total)

ival-tan: 197.0ms (16.3% of total)

ival-sin: 176.0ms (14.5% of total)

ival-pow: 176.0ms (14.5% of total)

ival-div: 175.0ms (14.5% of total)

ival-add: 137.0ms (11.3% of total)

ival-neg: 94.0ms (7.8% of total)

exact: 10.0ms (0.8% of total)

ival-true: 7.0ms (0.6% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain297.0ms (1.9%)

Memory

-0.6MiB live, 351.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
75	-	-	`(pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))`
36	-	-	`(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))`
0	-	-	`(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(+.f64 (*.f64 F F) #s(literal 2 binary64))`
0	-	-	`(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))`
0	-	-	`(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))`
0	-	-	`(*.f64 F F)`
0	-	-	`(*.f64 #s(literal 2 binary64) x)`
0	-	-	`(neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
0	-	-	`F`
0	-	-	`(tan.f64 B)`
0	-	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
0	-	-	`(+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x))`
0	-	-	`(/.f64 F (sin.f64 B))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(/.f64 #s(literal 1 binary64) (tan.f64 B))`
0	-	-	`x`
0	-	-	`B`
0	-	-	`(sin.f64 B)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`pow.f64`	`(pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))`	oflow-rescue	75	0
↳	`(*.f64 F F)`	overflow	75
↳	`(+.f64 (*.f64 F F) #s(literal 2 binary64))`	overflow	75
↳	`(+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x))`	overflow	75
`*.f64`	`(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))`	*no**	36	0

Confusion

	Predicted +	Predicted -
+	62	0
-	22	172

Precision

0.7380952380952381

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	62	0	0
-	22	0	172

Precision?

0.7380952380952381

Recall?

1.0

Freqs

test

number	freq
0	172
1	57
2	27

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 268 to 64 computations (76.1% saved)

Precisions

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

ival-pow: 16.0ms (21% of total)

ival-div: 15.0ms (19.7% of total)

ival-mult: 12.0ms (15.7% of total)

ival-sin: 11.0ms (14.4% of total)

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

ival-add: 7.0ms (9.2% of total)

ival-neg: 4.0ms (5.2% of total)

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

exact: 1.0ms (1.3% of total)

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

preprocess255.0ms (1.7%)

Memory

-9.6MiB live, 75.0MiB allocated

Algorithm

1×	egg-herbie

Rules

926×	`times-frac`
816×	`lower-fma.f64`
816×	`lower-fma.f32`
748×	`unsub-neg`
564×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	229
1	209	195
2	538	191
3	1197	191
4	2806	191
5	4494	191
6	5054	191
7	5344	191
8	5458	191
9	5466	191
10	5472	191
11	5800	191
12	5936	191
13	5936	191
14	5936	191
15	5936	191
0	20	24
0	37	24
1	58	21
2	98	21
3	150	21
4	210	21
5	314	21
6	466	21
7	908	21
8	1160	21
9	1260	21
10	1429	21
11	1552	21
12	1572	21
0	1572	19

Stop Event

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

Calls

Call 1

Inputs

(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))

Outputs

(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))

(fma.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (neg.f64 (/.f64 x (tan.f64 B))))

Symmetry

(negabs B)

Compiler

Compiled 30 to 20 computations (33.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.9%	(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))

Status

Accuracy

Program

▶

75.9%

(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))

Compiler

Compiled 30 to 20 computations (33.3% saved)

simplify52.0ms (0.3%)

Memory

14.3MiB live, 51.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	128	(+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x))
cost-diff	128	(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
cost-diff	320	(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))

Rules

816×	`lower-fma.f64`
816×	`lower-fma.f32`
472×	`lower-*.f32`
464×	`lower-*.f64`
224×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	103
0	37	103
1	58	96
2	98	96
3	150	96
4	210	96
5	314	96
6	466	96
7	908	96
8	1160	96
9	1260	96
10	1429	96
11	1552	96
12	1572	96
0	1572	87

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
x
(/.f64 #s(literal 1 binary64) (tan.f64 B))
#s(literal 1 binary64)
(tan.f64 B)
B
(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))
(/.f64 F (sin.f64 B))
F
(sin.f64 B)
(pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x))
(+.f64 (*.f64 F F) #s(literal 2 binary64))
(*.f64 F F)
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) x)
(neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))

Outputs
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
(fma.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (neg.f64 (/.f64 x (tan.f64 B))))
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
(neg.f64 (/.f64 x (tan.f64 B)))
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(/.f64 x (tan.f64 B))
x
(/.f64 #s(literal 1 binary64) (tan.f64 B))
#s(literal 1 binary64)
(tan.f64 B)
B
(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))
(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(/.f64 F (sin.f64 B))
F
(sin.f64 B)
(pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))
(+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x))
(fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))
(+.f64 (*.f64 F F) #s(literal 2 binary64))
(fma.f64 F F #s(literal 2 binary64))
(*.f64 F F)
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)

localize78.0ms (0.5%)

Memory

-19.6MiB live, 99.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.1484375	(/.f64 #s(literal 1 binary64) (tan.f64 B))
accuracy	0.26171875	(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
accuracy	8.764401309792401	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))
accuracy	17.490668680928533	(pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))

Samples

46.0ms

256×

valid

Compiler

Compiled 119 to 22 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 6.0ms (18.4% of total)

ival-tan: 6.0ms (18.4% of total)

ival-div: 5.0ms (15.3% of total)

ival-sin: 5.0ms (15.3% of total)

ival-pow: 5.0ms (15.3% of total)

ival-add: 3.0ms (9.2% of total)

ival-neg: 2.0ms (6.1% of total)

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

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

exact: 0.0ms (0% of total)

series38.0ms (0.2%)

Memory

17.8MiB live, 55.3MiB allocated

Counts

7 → 156

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())
#s(alt (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) (patch (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x)) (patch (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())
#s(alt (pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (patch (pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) (patch (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal 1 binary64) (tan.f64 B)) #<representation binary64>) () ())

Outputs
#s(alt (/ (* x (cos B)) (sin B)) (taylor 0 x) (#s(alt (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor 0 x) (#s(alt (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor 0 x) (#s(alt (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor 0 x) (#s(alt (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor inf x) (#s(alt (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor inf x) (#s(alt (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor inf x) (#s(alt (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor inf x) (#s(alt (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor -inf x) (#s(alt (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor -inf x) (#s(alt (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor -inf x) (#s(alt (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor -inf x) (#s(alt (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ x B) (taylor 0 B) (#s(alt (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1/3 (* (pow B 2) x))) B) (taylor 0 B) (#s(alt (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) (taylor 0 B) (#s(alt (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
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#s(alt (/ (cos B) (sin B)) (taylor -inf B) (#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal 1 binary64) (tan.f64 B)) #<representation binary64>) () ())) ())

Calls

39 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))
3.0ms	B	@	0	(+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))))
2.0ms	x	@	0	(* x (/ 1 (tan B)))
2.0ms	B	@	inf	(+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))))
2.0ms	B	@	inf	(* x (/ 1 (tan B)))

simplify384.0ms (2.5%)

Memory

15.3MiB live, 476.2MiB allocated

Algorithm

1×	egg-herbie

Rules

19 798×	`lower-fma.f64`
19 798×	`lower-fma.f32`
6 374×	`lower-*.f64`
6 374×	`lower-*.f32`
5 638×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	496	4202
1	1484	4010
2	5378	3926
0	8574	3585

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ x B)
(/ (+ x (* -1/3 (* (pow B 2) x))) B)
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))
(+ (* x (- (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(* -1 (/ (* x (cos B)) (sin B)))
(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B))))
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B))))
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) (/ (cos B) (sin B))))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B)))))
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B)))
(- (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) (/ (* x (cos B)) (sin B)))
(- (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) (/ (* x (cos B)) (sin B)))
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) (/ (* x (cos B)) (sin B)))
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) (/ (* x (cos B)) (sin B)))
(* -1 (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B))))
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B))))
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B))))
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B))))
(+ 2 (* 2 x))
(+ 2 (+ (* 2 x) (pow F 2)))
(+ 2 (+ (* 2 x) (pow F 2)))
(+ 2 (+ (* 2 x) (pow F 2)))
(pow F 2)
(* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))))
(* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))))
(* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))))
(pow F 2)
(* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))))
(* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))))
(* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))))
(+ 2 (pow F 2))
(+ 2 (+ (* 2 x) (pow F 2)))
(+ 2 (+ (* 2 x) (pow F 2)))
(+ 2 (+ (* 2 x) (pow F 2)))
(* 2 x)
(* x (+ 2 (+ (* 2 (/ 1 x)) (/ (pow F 2) x))))
(* x (+ 2 (+ (* 2 (/ 1 x)) (/ (pow F 2) x))))
(* x (+ 2 (+ (* 2 (/ 1 x)) (/ (pow F 2) x))))
(* 2 x)
(* -1 (* x (- (* -1 (/ (+ 2 (pow F 2)) x)) 2)))
(* -1 (* x (- (* -1 (/ (+ 2 (pow F 2)) x)) 2)))
(* -1 (* x (- (* -1 (/ (+ 2 (pow F 2)) x)) 2)))
(sqrt (/ 1 (+ 2 (* 2 x))))
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))
(/ 1 F)
(/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F)
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F)
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F)
(/ -1 F)
(* -1 (/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F))
(sqrt (/ 1 (+ 2 (pow F 2))))
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* -1 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))))
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* 3/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* x (+ (* -5/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))))
(* (sqrt (/ 1 x)) (sqrt 1/2))
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2)))
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))) (sqrt 1/2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2)))))
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))))
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt -1/2))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))
(* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))))
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))))
(/ 1 (sin B))
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B)))
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B))))
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B)))))
(/ -1 (sin B))
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B)))
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (/ 1 (sin B)))
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (/ 1 (sin B)))
(* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B)
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* -1 (* (* (pow B 2) (+ (* -1/36 F) (* 1/120 F))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))) B)
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (* -1 (* (* (pow B 2) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F)))))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) B)
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))
(+ (* -1 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))))
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))))
(+ (* -1/2 (* (/ (* F (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))))))
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))))
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))))
(/ 1 B)
(/ (+ 1 (* -1/3 (pow B 2))) B)
(/ (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))) B)
(/ (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))) B)
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))

Outputs
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ x B)
(/.f64 x B)
(/ (+ x (* -1/3 (* (pow B 2) x))) B)
(/.f64 (fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 B B)) x) B)
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
(/.f64 (fma.f64 (.f64 B B) (neg.f64 (.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) x) B)
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(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (.f64 F (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sin.f64 B) (sqrt.f64 #s(literal -1/2 binary64)))) (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) F)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sin.f64 B)) (/.f64 (.f64 (.f64 (.f64 F (sqrt.f64 #s(literal -1 binary64))) (.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) #s(literal -1/8 binary64)) (.f64 (sin.f64 B) (sqrt.f64 #s(literal -1/2 binary64))))))
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))))
(-.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) F)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sin.f64 B)) (/.f64 (.f64 (.f64 (.f64 F (sqrt.f64 #s(literal -1 binary64))) (.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) #s(literal -1/8 binary64)) (.f64 (sin.f64 B) (sqrt.f64 #s(literal -1/2 binary64))))) (/.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (fma.f64 F F #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) #s(literal 1/16 binary64)) (/.f64 (.f64 (.f64 x (.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))) #s(literal -1/64 binary64)) #s(literal -1/2 binary64))) (.f64 F (sqrt.f64 #s(literal -1 binary64)))) (.f64 (sin.f64 B) (sqrt.f64 #s(literal -1/2 binary64)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 (.f64 (.f64 F (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (.f64 (sin.f64 B) (sqrt.f64 #s(literal -1/2 binary64))))) (.f64 #s(literal -1/16 binary64) (sqrt.f64 x)))) (.f64 x (.f64 x x))))
(/ 1 B)
(/.f64 #s(literal 1 binary64) B)
(/ (+ 1 (* -1/3 (pow B 2))) B)
(/.f64 (fma.f64 B (*.f64 B #s(literal -1/3 binary64)) #s(literal 1 binary64)) B)
(/ (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))) B)
(/.f64 (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) B)
(/ (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))) B)
(/.f64 (fma.f64 (.f64 B B) (fma.f64 B (.f64 B (fma.f64 (*.f64 B B) #s(literal -2/945 binary64) #s(literal -1/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)) B)
(/ (cos B) (sin B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/ (cos B) (sin B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/ (cos B) (sin B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/ (cos B) (sin B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/ (cos B) (sin B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/ (cos B) (sin B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/ (cos B) (sin B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/ (cos B) (sin B))
(/.f64 (cos.f64 B) (sin.f64 B))

rewrite273.0ms (1.8%)

Memory

22.0MiB live, 298.1MiB allocated

Rules

9 162×	`lower-fma.f64`
9 162×	`lower-fma.f32`
5 634×	`lower-*.f32`
5 626×	`lower-*.f64`
2 936×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	71
0	37	67
1	122	66
2	789	66
0	8296	58

Stop Event

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

Counts

7 → 360

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
(+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x))
(pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (tan.f64 B))

Outputs
#s(literal 1/2 binary64)
(+.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (tan.f64 B)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (tan.f64 B))) (/.f64 (neg.f64 x) (tan.f64 B)))
(neg.f64 (/.f64 (neg.f64 x) (tan.f64 B)))
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (tan.f64 B) x) #s(literal 1 binary64)))
(/.f64 x (tan.f64 B))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (tan.f64 B) x)))
(/.f64 (pow.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(literal 3 binary64)) (neg.f64 (fma.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)) #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 x (tan.f64 B)))
(/.f64 (neg.f64 x) (neg.f64 (tan.f64 B)))
(/.f64 (neg.f64 (.f64 (.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)))) (/.f64 (neg.f64 x) (tan.f64 B)))
(/.f64 (neg.f64 (neg.f64 x)) (tan.f64 B))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (tan.f64 B)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) #s(literal 0 binary64))))
(/.f64 (neg.f64 (pow.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)) #s(literal 0 binary64)))
(pow.f64 (/.f64 (tan.f64 B) x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x (tan.f64 B)))
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(.f64 x (.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (tan.f64 B)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 B))))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (.f64 (cos.f64 B) x))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 B)))
(*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) (neg.f64 x))
(*.f64 (/.f64 x (tan.f64 B)) #s(literal 1 binary64))
(.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) x))
(*.f64 (neg.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 B))))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (tan.f64 B)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 B))) (cos.f64 B))
(.f64 (.f64 x (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)))
(+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(+.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (neg.f64 x) (tan.f64 B)))
(+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 x (tan.f64 B))))
(+.f64 (/.f64 (.f64 (.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (neg.f64 (/.f64 (/.f64 (.f64 (.f64 F F) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) B))))) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))))))
(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 x (tan.f64 B)))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 x (tan.f64 B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (/.f64 (/.f64 (.f64 (.f64 F F) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) B))))) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 F F) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) B))))) (fma.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 x (tan.f64 B)))) (/.f64 (.f64 (.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (fma.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 x (tan.f64 B)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 x (/.f64 #s(literal -1 binary64) (tan.f64 B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(literal 1 binary64) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(fma.f64 F (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 F (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 #s(literal -1 binary64) (/.f64 x (tan.f64 B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (neg.f64 F) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (pow.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)) #s(literal 0 binary64))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (.f64 (.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x (tan.f64 B)) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (neg.f64 (/.f64 (/.f64 (.f64 (.f64 F F) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) B))))) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) F)) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (.f64 (cos.f64 B) (neg.f64 x)) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (/.f64 F (sin.f64 B))) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) (/.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (neg.f64 F)) (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 B))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (neg.f64 (.f64 (.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)))) (/.f64 (tan.f64 B) x) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (/.f64 x (tan.f64 B)) #s(literal -1 binary64) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/8 binary64)) (.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/8 binary64)) (.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (/.f64 F (sin.f64 B)))) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (neg.f64 x)) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))
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(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal 1 binary64))
(*.f64 (cos.f64 B) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 B)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (cos.f64 B))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (.f64 (cos.f64 B) #s(literal 1 binary64)))
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)))

eval71.0ms (0.5%)

Memory: 10.0MiB live, 120.2MiB allocated
Compiler: Compiled 19 566 to 1 840 computations (90.6% saved)

prune124.0ms (0.8%)

Memory

-22.6MiB live, 156.6MiB allocated

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	491	25	516
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	492	25	517

Accuracy

100.0%

Counts

517 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.9%	(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
	76.0%	(fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))
	83.9%	(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) F)) (/.f64 (neg.f64 x) (tan.f64 B)))
	75.8%	(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (.f64 (cos.f64 B) (neg.f64 x)) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))
	83.9%	(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (neg.f64 x) (tan.f64 B)))
	75.8%	(fma.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 B))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))
	75.9%	(+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
	76.3%	(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 B) F)))
	76.3%	(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 B) F) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))))
	75.8%	(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 2 binary64))))
▶	66.8%	(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) (.f64 (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
	49.2%	(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal -1 binary64) F))))
	54.4%	(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))))
	51.6%	(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (.f64 (*.f64 B B) F) F)) B)))
	56.7%	(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
▶	58.5%	(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
	61.5%	(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (/.f64 F B))))
	83.6%	(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B)))))
	49.9%	(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
	75.2%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 x (neg.f64 (fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 F F #s(literal 2 binary64)) (.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 (cos.f64 B) (sin.f64 B)))) (*.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B)))))
	44.1%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 B B) F) F) (-.f64 (.f64 (.f64 x (*.f64 B B)) #s(literal 1/3 binary64)) x)) B))
▶	45.1%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B))
▶	58.6%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))))
	29.6%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B))))
	54.7%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))))

Compiler

Compiled 1 280 to 796 computations (37.8% saved)

simplify171.0ms (1.1%)

Memory

-28.8MiB live, 170.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	320	(.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) (.f64 (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))))))
cost-diff	320	(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	2560	(.f64 (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))))
cost-diff	0	(sin.f64 B)
cost-diff	0	(/.f64 #s(literal -1 binary64) (sin.f64 B))
cost-diff	0	(-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
cost-diff	0	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (tan.f64 B))
cost-diff	0	(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
cost-diff	128	(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
cost-diff	320	(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))
cost-diff	0	(fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x))
cost-diff	0	(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B)
cost-diff	0	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B))
cost-diff	0	(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))
cost-diff	0	(pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))
cost-diff	0	(/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B))
cost-diff	0	(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B)))

Rules

6 730×	`lower-fma.f32`
6 718×	`lower-fma.f64`
4 684×	`lower-*.f32`
4 674×	`lower-*.f64`
1 798×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	541
0	99	432
1	163	419
2	290	419
3	652	419
4	2968	419
5	5784	419
0	8447	416

Stop Event

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

Calls

Call 1

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

Outputs
(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 F (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))
(/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B))
(pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))
#s(literal 2 binary64)
x
(fma.f64 F F #s(literal 2 binary64))
F
#s(literal -1/2 binary64)
(sin.f64 B)
B
(/.f64 (neg.f64 x) (tan.f64 B))
(neg.f64 x)
(tan.f64 B)
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) x) B))
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B)
(/.f64 (-.f64 (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) x) B)
(fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x))
(-.f64 (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) x)
F
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))
#s(literal 1 binary64)
(fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))
x
#s(literal 2 binary64)
(fma.f64 F F #s(literal 2 binary64))
(neg.f64 x)
B
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
(/.f64 (neg.f64 x) (tan.f64 B))
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(/.f64 x (tan.f64 B))
x
(/.f64 #s(literal 1 binary64) (tan.f64 B))
#s(literal 1 binary64)
(tan.f64 B)
B
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B)))
(/.f64 #s(literal -1 binary64) (sin.f64 B))
#s(literal -1 binary64)
(sin.f64 B)
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))))
(-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(/.f64 #s(literal -1 binary64) (sin.f64 B))
#s(literal -1 binary64)
(sin.f64 B)
B
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(*.f64 x (cos.f64 B))
x
(cos.f64 B)
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) (.f64 (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
(fma.f64 F (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
(/.f64 (neg.f64 x) (tan.f64 B))
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(/.f64 x (tan.f64 B))
x
(/.f64 #s(literal 1 binary64) (tan.f64 B))
#s(literal 1 binary64)
(tan.f64 B)
B
(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) (.f64 (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))
(/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B))
(/.f64 F (sin.f64 B))
F
(sin.f64 B)
(pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) (.f64 (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))
(.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) (.f64 (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))))))
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 F F #s(literal 2 binary64))
(.f64 (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))))
#s(literal 1 binary64)
(fma.f64 F F (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))
(fma.f64 x #s(literal -2 binary64) (fma.f64 F F #s(literal 2 binary64)))
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) (fma.f64 F F #s(literal 2 binary64))))
(neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)

localize210.0ms (1.4%)

Memory

23.9MiB live, 214.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.45834123479769545	(/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
accuracy	8.764401309792401	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) (.f64 (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))
accuracy	17.490668680928533	(pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) (.f64 (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
accuracy	18.238476574608598	(.f64 (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))))
accuracy	0.08984375	(/.f64 #s(literal -1 binary64) (sin.f64 B))
accuracy	0.12109375	(*.f64 x (cos.f64 B))
accuracy	0.17578125	(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
accuracy	26.38593805794467	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))))
accuracy	0.08984375	(/.f64 #s(literal -1 binary64) (sin.f64 B))
accuracy	0.1484375	(/.f64 #s(literal 1 binary64) (tan.f64 B))
accuracy	0.26171875	(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
accuracy	45.20473331912688	#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B)))
accuracy	0.11166000976844202	(fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x))
accuracy	0.46224748479769545	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))
accuracy	16.88751839002007	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))
accuracy	29.512344220523786	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B))
accuracy	0.109375	(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
accuracy	0.109375	(/.f64 (neg.f64 x) (tan.f64 B))
accuracy	0.34765625	(/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B))
accuracy	17.490668680928533	(pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))

Samples

125.0ms

256×

valid

Compiler

Compiled 579 to 51 computations (91.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

ival-pow: 33.0ms (33.8% of total)

ival-mult: 18.0ms (18.4% of total)

ival-div: 15.0ms (15.3% of total)

ival-add: 10.0ms (10.2% of total)

ival-sin: 6.0ms (6.1% of total)

ival-tan: 5.0ms (5.1% of total)

ival-cos: 5.0ms (5.1% of total)

ival-neg: 3.0ms (3.1% of total)

ival-sub: 2.0ms (2% of total)

ival-sqrt: 2.0ms (2% of total)

exact: 1.0ms (1% of total)

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

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

series87.0ms (0.6%)

Memory

-13.2MiB live, 107.8MiB allocated

Counts

27 → 684

Calls

Call 1

Inputs
#s(alt (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) (patch (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) #<representation binary64>) () ())
#s(alt (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (patch (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) (patch (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B)) (patch #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B) (patch (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B) #<representation binary64>) () ())
#s(alt (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) (patch (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())
#s(alt (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B)))) (patch (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B)))) #<representation binary64>) () ())
#s(alt (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal 1 binary64) (tan.f64 B)) #<representation binary64>) () ())
#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 (.f64 x (cos.f64 B)) (sin.f64 B)))) (patch #s(approx (+ (neg ( x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 (.f64 x (cos.f64 B)) (sin.f64 B))) (patch (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 (.f64 x (cos.f64 B)) (sin.f64 B))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal -1 binary64) (sin.f64 B)) #<representation binary64>) () ())
#s(alt (sin.f64 B) (patch (sin.f64 B) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))))) (patch (.f64 (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) (.f64 (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))))) (patch (.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) (.f64 (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))))) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 x) (tan.f64 B)) (patch (/.f64 (neg.f64 x) (tan.f64 B)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (patch #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 x (cos.f64 B)) (sin.f64 B)) (patch (/.f64 (.f64 x (cos.f64 B)) (sin.f64 B)) #<representation binary64>) () ())
#s(alt (.f64 x (cos.f64 B)) (patch (.f64 x (cos.f64 B)) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) (.f64 (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (patch (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) (.f64 (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) (.f64 (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) (patch (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) (.f64 (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())

Outputs
#s(alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* -1 (/ (cos B) (sin B))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* -1 (/ (cos B) (sin B))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* -1 (/ (cos B) (sin B))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor inf x) (#s(alt (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) (/ (cos B) (sin B)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor 0 F) (#s(alt (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) (taylor 0 F) (#s(alt (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))))) (taylor 0 F) (#s(alt (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) (taylor 0 F) (#s(alt (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) (taylor inf F) (#s(alt (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B)))) (taylor inf F) (#s(alt (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B))))) (taylor inf F) (#s(alt (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B)))))) (taylor inf F) (#s(alt (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) (taylor -inf F) (#s(alt (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ (* x (cos B)) (sin B))) (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B))))) (/ 1 (sin B))) (taylor -inf F) (#s(alt (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))))) (/ 1 (sin B))) (taylor -inf F) (#s(alt (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B))))))) (/ 1 (sin B))) (taylor -inf F) (#s(alt (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B) (taylor 0 B) (#s(alt (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())) ())
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#s(alt (/ 1 (pow F 2)) (taylor inf F) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* 2 (/ x (pow F 2)))) (* 2 (/ 1 (pow F 2)))) (pow F 2)) (taylor inf F) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (+ (* -1 (/ (* (- 2 (* 2 x)) (- (* 2 x) 2)) (pow F 4))) (* 2 (/ x (pow F 2))))) (* 2 (/ 1 (pow F 2)))) (pow F 2)) (taylor inf F) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (+ (* 2 (/ x (pow F 2))) (/ (* (pow (- 2 (* 2 x)) 2) (- (* 2 x) 2)) (pow F 6)))) (+ (* 2 (/ 1 (pow F 2))) (/ (* (- 2 (* 2 x)) (- (* 2 x) 2)) (pow F 4)))) (pow F 2)) (taylor inf F) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow F 2)) (taylor -inf F) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* 2 (/ x (pow F 2)))) (* 2 (/ 1 (pow F 2)))) (pow F 2)) (taylor -inf F) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (+ (* -1 (/ (* (- 2 (* 2 x)) (- (* 2 x) 2)) (pow F 4))) (* 2 (/ x (pow F 2))))) (* 2 (/ 1 (pow F 2)))) (pow F 2)) (taylor -inf F) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (+ (* 2 (/ x (pow F 2))) (/ (* (pow (- 2 (* 2 x)) 2) (- (* 2 x) 2)) (pow F 6)))) (+ (* 2 (/ 1 (pow F 2))) (/ (* (- 2 (* 2 x)) (- (* 2 x) 2)) (pow F 4)))) (pow F 2)) (taylor -inf F) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 2 (pow F 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ x (pow (+ 2 (pow F 2)) 2))) (/ 1 (+ 2 (pow F 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 4 (/ x (pow (+ 2 (pow F 2)) 3))) (* 2 (/ 1 (pow (+ 2 (pow F 2)) 2))))) (/ 1 (+ 2 (pow F 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* x (+ (* 8 (/ x (pow (+ 2 (pow F 2)) 4))) (* 4 (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 2 (/ 1 (pow (+ 2 (pow F 2)) 2))))) (/ 1 (+ 2 (pow F 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1/4 (/ (+ 2 (pow F 2)) x)) 1/2) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1/8 (/ (pow (+ 2 (pow F 2)) 2) (pow x 2))) (+ 1/2 (* 1/4 (/ (+ 2 (pow F 2)) x)))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1/16 (/ (pow (+ 2 (pow F 2)) 3) (pow x 3))) (+ 1/2 (+ (* 1/8 (/ (pow (+ 2 (pow F 2)) 2) (pow x 2))) (* 1/4 (/ (+ 2 (pow F 2)) x))))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1/2 (* 1/4 (/ (+ 2 (pow F 2)) x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/8 (/ (pow (+ 2 (pow F 2)) 2) x)) (* 1/4 (+ 2 (pow F 2)))) x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow (+ 2 (pow F 2)) 3) x)) (* -1/8 (pow (+ 2 (pow F 2)) 2))) x)) (* 1/4 (+ 2 (pow F 2)))) x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ())

Calls

171 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x))
6.0ms	x	@	-inf	(/ 1 (+ (* x 2) (+ (* F F) 2)))
2.0ms	F	@	inf	(/ 1 (+ (* F F) (- 2 (* 2 x))))
1.0ms	x	@	-inf	(+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B)))
1.0ms	x	@	-inf	(/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B)

simplify378.0ms (2.5%)

Memory

38.3MiB live, 501.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 590×	`lower-fma.f64`
11 590×	`lower-fma.f32`
7 188×	`lower-*.f64`
7 188×	`lower-*.f32`
5 872×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1128	17422
1	3425	16669
0	8704	15280

Stop Event

1×	iter limit
1×	node limit

Counts

684 → 682

Calls

Call 1

Inputs
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* -1 (/ (cos B) (sin B))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* -1 (/ (cos B) (sin B))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* -1 (/ (cos B) (sin B))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(* -1 (/ (* x (cos B)) (sin B)))
(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B))))
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B))))
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) (/ (cos B) (sin B))))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B)))))
(* -1 (/ (* x (cos B)) (sin B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))
(+ (* -1 (/ (* x (cos B)) (sin B))) (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))))
(+ (* -1 (/ (* x (cos B)) (sin B))) (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))))
(+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))))
(+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))))
(- (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(- (+ (* -1 (/ (* x (cos B)) (sin B))) (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B))))) (/ 1 (sin B)))
(- (+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))))) (/ 1 (sin B)))
(- (+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B))))))) (/ 1 (sin B)))
(/ (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B)
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x))))) B)
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x))))))))) B)
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x)))))))))))))) B)
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))
(* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))
(+ (* -1 (* (/ x (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (* x (+ (* -1 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ x (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (* x (+ (* -1 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ x (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(* (sqrt (/ 1 x)) (/ (sqrt 1/2) (sin B)))
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (* (sin B) (sqrt 1/2))))) (* (sqrt (/ 1 x)) (/ (sqrt 1/2) (sin B))))
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (* (sin B) (sqrt 1/2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (* (sin B) (sqrt 1/2))))) (* (sqrt (/ 1 x)) (/ (sqrt 1/2) (sin B)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))) (* (sin B) (sqrt 1/2))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (* (sin B) (sqrt 1/2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (* (sin B) (sqrt 1/2))))) (* (sqrt (/ 1 x)) (/ (sqrt 1/2) (sin B))))))
(* (sqrt (/ 1 x)) (/ (* (sqrt -1) (sqrt -1/2)) (sin B)))
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (* (sin B) (sqrt -1/2))))) (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (sqrt -1/2)) (sin B))))
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (* (sin B) (sqrt -1/2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt -1/2))))) (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (sqrt -1/2)) (sin B)))))
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt -1/2))))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* (sin B) (sqrt -1/2)))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (* (sin B) (sqrt -1/2))))) (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (sqrt -1/2)) (sin B)))))
(* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))
(+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))
(+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))
(+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))
(/ 1 (* F (sin B)))
(/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) F)
(/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) F)
(/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) F)
(/ -1 (* F (sin B)))
(* -1 (/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) F))
(* -1 (/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) F))
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(/ (- (* (pow B 2) (- (* (pow B 2) (- (* -31/15120 (pow B 2)) 7/360)) 1/6)) 1) B)
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B
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(sin B)
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1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
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x
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(/ 1 F)
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(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))
(+ (* -1 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))))
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))))
(+ (* -1/2 (* (/ (* F (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))))))
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))))
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))))
(/ 1 (- 2 (* 2 x)))
(+ (* -1 (/ (pow F 2) (pow (- 2 (* 2 x)) 2))) (/ 1 (- 2 (* 2 x))))
(+ (* (pow F 2) (- (/ (pow F 2) (pow (- 2 (* 2 x)) 3)) (/ 1 (pow (- 2 (* 2 x)) 2)))) (/ 1 (- 2 (* 2 x))))
(+ (* (pow F 2) (- (* (pow F 2) (+ (* -1 (/ (pow F 2) (pow (- 2 (* 2 x)) 4))) (/ 1 (pow (- 2 (* 2 x)) 3)))) (/ 1 (pow (- 2 (* 2 x)) 2)))) (/ 1 (- 2 (* 2 x))))
(/ 1 (pow F 2))
(/ (- (+ 1 (* 2 (/ x (pow F 2)))) (* 2 (/ 1 (pow F 2)))) (pow F 2))
(/ (- (+ 1 (+ (* -1 (/ (* (- 2 (* 2 x)) (- (* 2 x) 2)) (pow F 4))) (* 2 (/ x (pow F 2))))) (* 2 (/ 1 (pow F 2)))) (pow F 2))
(/ (- (+ 1 (+ (* 2 (/ x (pow F 2))) (/ (* (pow (- 2 (* 2 x)) 2) (- (* 2 x) 2)) (pow F 6)))) (+ (* 2 (/ 1 (pow F 2))) (/ (* (- 2 (* 2 x)) (- (* 2 x) 2)) (pow F 4)))) (pow F 2))
(/ 1 (pow F 2))
(/ (- (+ 1 (* 2 (/ x (pow F 2)))) (* 2 (/ 1 (pow F 2)))) (pow F 2))
(/ (- (+ 1 (+ (* -1 (/ (* (- 2 (* 2 x)) (- (* 2 x) 2)) (pow F 4))) (* 2 (/ x (pow F 2))))) (* 2 (/ 1 (pow F 2)))) (pow F 2))
(/ (- (+ 1 (+ (* 2 (/ x (pow F 2))) (/ (* (pow (- 2 (* 2 x)) 2) (- (* 2 x) 2)) (pow F 6)))) (+ (* 2 (/ 1 (pow F 2))) (/ (* (- 2 (* 2 x)) (- (* 2 x) 2)) (pow F 4)))) (pow F 2))
(/ 1 (+ 2 (pow F 2)))
(+ (* 2 (/ x (pow (+ 2 (pow F 2)) 2))) (/ 1 (+ 2 (pow F 2))))
(+ (* x (+ (* 4 (/ x (pow (+ 2 (pow F 2)) 3))) (* 2 (/ 1 (pow (+ 2 (pow F 2)) 2))))) (/ 1 (+ 2 (pow F 2))))
(+ (* x (+ (* x (+ (* 8 (/ x (pow (+ 2 (pow F 2)) 4))) (* 4 (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 2 (/ 1 (pow (+ 2 (pow F 2)) 2))))) (/ 1 (+ 2 (pow F 2))))
(/ -1/2 x)
(/ (- (* -1/4 (/ (+ 2 (pow F 2)) x)) 1/2) x)
(/ (- (* -1/8 (/ (pow (+ 2 (pow F 2)) 2) (pow x 2))) (+ 1/2 (* 1/4 (/ (+ 2 (pow F 2)) x)))) x)
(/ (- (* -1/16 (/ (pow (+ 2 (pow F 2)) 3) (pow x 3))) (+ 1/2 (+ (* 1/8 (/ (pow (+ 2 (pow F 2)) 2) (pow x 2))) (* 1/4 (/ (+ 2 (pow F 2)) x))))) x)
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* 1/4 (/ (+ 2 (pow F 2)) x))) x))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/8 (/ (pow (+ 2 (pow F 2)) 2) x)) (* 1/4 (+ 2 (pow F 2)))) x))) x))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow (+ 2 (pow F 2)) 3) x)) (* -1/8 (pow (+ 2 (pow F 2)) 2))) x)) (* 1/4 (+ 2 (pow F 2)))) x))) x))

Outputs
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* -1 (/ (cos B) (sin B))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (.f64 (neg.f64 x) (fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 (cos.f64 B) (sin.f64 B)))))
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* -1 (/ (cos B) (sin B))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(fma.f64 x (fma.f64 #s(literal 3/2 binary64) (.f64 (/.f64 (.f64 F x) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 5 binary64))))) (neg.f64 (fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 F F #s(literal 2 binary64)) (.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 (cos.f64 B) (sin.f64 B))))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* -1 (/ (cos B) (sin B))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 3/2 binary64) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 5 binary64))))) (.f64 (.f64 (.f64 #s(literal -5/2 binary64) F) (/.f64 x (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 7 binary64)))))) (neg.f64 (fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 F F #s(literal 2 binary64)) (.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 (cos.f64 B) (sin.f64 B))))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
(* -1 (/ (* x (cos B)) (sin B)))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B))))
(.f64 x (-.f64 (.f64 (/.f64 (.f64 F (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))) (/.f64 (cos.f64 B) (sin.f64 B))))
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B))))
(.f64 x (-.f64 (fma.f64 (/.f64 (.f64 F (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 F (fma.f64 F F #s(literal 2 binary64))) (.f64 (sin.f64 B) (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (/.f64 (cos.f64 B) (sin.f64 B))))
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) (/ (cos B) (sin B))))
(.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 F (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 (sin.f64 B) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (.f64 (.f64 F (fma.f64 F F #s(literal 2 binary64))) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (.f64 (sin.f64 B) (sqrt.f64 #s(literal 1/2 binary64)))) (-.f64 (.f64 (/.f64 (.f64 F (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (cos.f64 B) (sin.f64 B))))))
(* -1 (/ (* x (cos B)) (sin B)))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))))
(.f64 (-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 F (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sin.f64 B))))) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B)))))
(neg.f64 (.f64 x (-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 F (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (.f64 (sin.f64 B) (sqrt.f64 #s(literal -1/2 binary64)))) (.f64 (.f64 (.f64 F (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B)))))
(.f64 (-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 F (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (.f64 (sin.f64 B) (sqrt.f64 #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (.f64 (.f64 (.f64 F (fma.f64 F F #s(literal 2 binary64))) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sin.f64 B) (sqrt.f64 #s(literal -1/2 binary64))))) (.f64 (.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)) (neg.f64 x))
(* -1 (/ (* x (cos B)) (sin B)))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
(+ (* -1 (/ (* x (cos B)) (sin B))) (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))))
(fma.f64 F (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 F F) (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
(+ (* -1 (/ (* x (cos B)) (sin B))) (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))
(fma.f64 F (fma.f64 (.f64 F F) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (sin.f64 B)) (.f64 #s(literal 3/8 binary64) (/.f64 (.f64 (.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64))))) (sin.f64 B)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))))
(-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 (.f64 F (sin.f64 B)) F)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))))
(fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 (.f64 F (sin.f64 B)) F)) (/.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -3/4 binary64)) (*.f64 (sin.f64 B) (pow.f64 F #s(literal 4 binary64))))) (fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
(+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 (.f64 F (sin.f64 B)) F)) (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -3/4 binary64)) (.f64 (sin.f64 B) (pow.f64 F #s(literal 4 binary64)))) (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -3/4 binary64)))) (*.f64 (sin.f64 B) (pow.f64 F #s(literal 6 binary64))))) (fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))))
(- (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B)))
(- (+ (* -1 (/ (* x (cos B)) (sin B))) (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B))))) (/ 1 (sin B)))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 (.f64 F (sin.f64 B)) F)) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(- (+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))))) (/ 1 (sin B)))
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(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 x)) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 x)) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 x)) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 x)) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 x)) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 x)) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 x)) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 x)) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 x)) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 x)) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 x)) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 x)) B)
(* -1 x)
(neg.f64 x)
(- (* F (sqrt (/ 1 (+ 2 (* 2 x))))) x)
(fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (neg.f64 x))
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) x)
(fma.f64 F (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 x))
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) x)
(-.f64 (.f64 F (fma.f64 (.f64 F F) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (.f64 (.f64 #s(literal 3/8 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) x)
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) x)
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) x)
(fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 F F)) (/.f64 (.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -3/4 binary64)) (pow.f64 F #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) x))
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(* -1 (+ 1 x))
(-.f64 #s(literal -1 binary64) x)
(- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ 1 x))
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(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6))))) (+ 1 x))
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(*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))
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(* -1 x)
(neg.f64 x)
(* x (- (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))) 1))
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(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) 1))
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(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (neg.f64 F) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))) x)))))
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(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) x)))))
(neg.f64 (fma.f64 x (/.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (.f64 (.f64 (.f64 F (fma.f64 F F #s(literal 2 binary64))) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))) (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) F) (/.f64 (.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 F (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))))) (neg.f64 x)) x))
(sqrt (/ 1 (+ 2 (pow F 2))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* -1 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))))
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(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* 3/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))
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(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* x (+ (* -5/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))))
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(* (sqrt (/ 1 x)) (sqrt 1/2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2)))
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(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) x) (fma.f64 (.f64 F F) #s(literal -1/4 binary64) #s(literal -1/2 binary64))) x)) (neg.f64 x))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow (+ 2 (pow F 2)) 3) x)) (* -1/8 (pow (+ 2 (pow F 2)) 2))) x)) (* 1/4 (+ 2 (pow F 2)))) x))) x))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (fma.f64 F F #s(literal 2 binary64)) (.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))) x) (.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 F F #s(literal 2 binary64))) (fma.f64 F F #s(literal 2 binary64)))) (neg.f64 x)) (fma.f64 (*.f64 F F) #s(literal -1/4 binary64) #s(literal -1/2 binary64))) x)) (neg.f64 x))

rewrite298.0ms (1.9%)

Memory

-4.5MiB live, 395.0MiB allocated

Rules

4 870×	`lower-fma.f32`
4 858×	`lower-fma.f64`
4 464×	`lower-/.f32`
4 446×	`lower-/.f64`
3 432×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	391
0	97	289
1	379	274
2	2832	274
0	8224	273

Stop Event

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

Counts

27 → 1 095

Calls

Call 1

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

Outputs
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(+.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 (/.f64 x (tan.f64 B))))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B)))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 x (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))))
(-.f64 (/.f64 (.f64 (.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (-.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))) (/.f64 (/.f64 (.f64 (.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))) (-.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))) (+.f64 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B)))) (/.f64 (.f64 (.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (+.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B)))))
(-.f64 (+.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) #s(literal 0 binary64)) (/.f64 x (tan.f64 B)))
(fma.f64 x (/.f64 #s(literal -1 binary64) (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(fma.f64 F (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 (/.f64 x (tan.f64 B))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 F (sin.f64 B)) (neg.f64 (/.f64 x (tan.f64 B))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) F (neg.f64 (/.f64 x (tan.f64 B))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) F)) (neg.f64 (/.f64 x (tan.f64 B))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 (neg.f64 F) #s(literal -1 binary64)) (neg.f64 (/.f64 x (tan.f64 B))))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(fma.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 x #s(literal -1 binary64)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(fma.f64 (/.f64 x (tan.f64 B)) #s(literal -1 binary64) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(fma.f64 (neg.f64 (/.f64 x (tan.f64 B))) #s(literal 1 binary64) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(fma.f64 #s(literal -1 binary64) (/.f64 x (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(fma.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 B))) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(fma.f64 (.f64 x (cos.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 (/.f64 x (tan.f64 B))))
(fma.f64 (/.f64 F (sin.f64 B)) (/.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) #s(literal -1 binary64)) (neg.f64 (/.f64 x (tan.f64 B))))
(fma.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) #s(literal 1 binary64) (neg.f64 (/.f64 x (tan.f64 B))))
(fma.f64 (.f64 (neg.f64 x) (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 (/.f64 x (tan.f64 B))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 (/.f64 x (tan.f64 B))))
(fma.f64 (pow.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -1/4 binary64)) (/.f64 F (sin.f64 B))) (neg.f64 (/.f64 x (tan.f64 B))))
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) (/.f64 x #s(literal 1 binary64)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(fma.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (neg.f64 (/.f64 x (tan.f64 B))))
(fma.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(fma.f64 (/.f64 (neg.f64 F) (sin.f64 B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) #s(literal -1 binary64)) (neg.f64 (/.f64 x (tan.f64 B))))
(fma.f64 (/.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (sin.f64 B)) (/.f64 F #s(literal -1 binary64)) (neg.f64 (/.f64 x (tan.f64 B))))
(fma.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -1/4 binary64)) (neg.f64 (/.f64 x (tan.f64 B))))
(fma.f64 (/.f64 x (neg.f64 (sin.f64 B))) (cos.f64 B) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(fma.f64 (/.f64 x (neg.f64 (sin.f64 B))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 B))) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(fma.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 B))) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(fma.f64 (/.f64 x (sin.f64 B)) (/.f64 (cos.f64 B) #s(literal -1 binary64)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(fma.f64 (/.f64 (pow.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -1/4 binary64)) (sin.f64 B)) (/.f64 (pow.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) F)) (neg.f64 (/.f64 x (tan.f64 B))))
(fma.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (fma.f64 F F (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (sin.f64 B)) (/.f64 (sqrt.f64 (fma.f64 F F (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 (/.f64 x (tan.f64 B))))
(fma.f64 (/.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) #s(literal -1 binary64)) (/.f64 F (sin.f64 B)) (neg.f64 (/.f64 x (tan.f64 B))))
(fma.f64 (/.f64 F #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (sin.f64 B)) (neg.f64 (/.f64 x (tan.f64 B))))
(fma.f64 (/.f64 (neg.f64 F) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 (/.f64 x (tan.f64 B))))
(fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 (neg.f64 F) (sin.f64 B)) (neg.f64 (/.f64 x (tan.f64 B))))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(fma.f64 (/.f64 (cos.f64 B) #s(literal -1 binary64)) (/.f64 x (sin.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (+.f64 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (.f64 (.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)))) (+.f64 (pow.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 B)) #s(literal 2 binary64)) (.f64 (.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))))))
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(/.f64 (*.f64 F (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (neg.f64 (sin.f64 B)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 F)) (neg.f64 (sin.f64 B)))
(/.f64 (.f64 #s(literal 1 binary64) F) (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) F) (neg.f64 (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 (sin.f64 B)))
(/.f64 (neg.f64 (neg.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (neg.f64 (neg.f64 (sin.f64 B))))
(/.f64 (neg.f64 (.f64 F #s(literal 1 binary64))) (neg.f64 (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (*.f64 F (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))) (neg.f64 (neg.f64 (sin.f64 B))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 F))) (neg.f64 (neg.f64 (sin.f64 B))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) F)) (neg.f64 (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) F)) (neg.f64 (neg.f64 (sin.f64 B))))
(/.f64 (neg.f64 (*.f64 (neg.f64 F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (neg.f64 (neg.f64 (sin.f64 B))))
(pow.f64 (/.f64 (sin.f64 B) (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) #s(literal -1 binary64))
(pow.f64 (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 (sin.f64 B) F)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) #s(literal -1 binary64))
(.f64 F (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 F (sin.f64 B)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) F)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) F)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 (neg.f64 F) #s(literal -1 binary64)))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
(*.f64 (/.f64 F (sin.f64 B)) (/.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) #s(literal -1 binary64)))
(.f64 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) F)))
(.f64 (pow.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -1/4 binary64)) (.f64 (pow.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -1/4 binary64)) (/.f64 F (sin.f64 B))))
(*.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(*.f64 (/.f64 (neg.f64 F) (sin.f64 B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (sin.f64 B)) (/.f64 F #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -1/4 binary64)))
(*.f64 (/.f64 (pow.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -1/4 binary64)) (sin.f64 B)) (/.f64 (pow.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) F)))
(.f64 (/.f64 (pow.f64 (.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (fma.f64 F F (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (sin.f64 B)) (/.f64 (sqrt.f64 (fma.f64 F F (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) F)))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) #s(literal -1 binary64)) (/.f64 F (sin.f64 B)))
(*.f64 (/.f64 F #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (sin.f64 B)))
(.f64 (/.f64 (neg.f64 F) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 (neg.f64 F) (sin.f64 B)))
(exp.f64 (neg.f64 (log.f64 (fma.f64 F F (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 F F (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 F F (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 F F (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 F F (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))))))
(pow.f64 (fma.f64 F F (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (neg.f64 (fma.f64 F F (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 F F (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 F F (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) (fma.f64 F F (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 F F (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (fma.f64 F F (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 F F (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 F F) (.f64 F (.f64 F (.f64 F F))) (.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))))) (fma.f64 F (.f64 F (.f64 F F)) (.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (-.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (*.f64 F F)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 F F) (.f64 F (.f64 F (.f64 F F))) (.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F (.f64 F (.f64 F F)) (.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (-.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (*.f64 F F))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 F F (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) (+.f64 (fma.f64 F F #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) x)))) (+.f64 (fma.f64 F F #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 F F (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) (+.f64 (fma.f64 F F #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 F F #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)))

eval410.0ms (2.7%)

Memory: 52.3MiB live, 544.6MiB allocated
Compiler: Compiled 77 343 to 5 163 computations (93.3% saved)

prune612.0ms (4%)

Memory

-24.8MiB live, 840.6MiB allocated

Pruning

49 alts after pruning (48 fresh and 1 done)

	Pruned	Kept	Total
New	2 142	45	2 187
Fresh	17	3	20
Picked	4	1	5
Done	0	0	0
Total	2 163	49	2 212

Accuracy

100.0%

Counts

2 212 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	83.8%	(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)))
	58.6%	(fma.f64 (/.f64 x (neg.f64 (sin.f64 B))) (cos.f64 B) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
	83.9%	(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) F (/.f64 (neg.f64 x) (tan.f64 B)))
	58.5%	(fma.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
	69.5%	(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
	54.4%	(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 F (sin.f64 B)))) F (/.f64 (neg.f64 x) (tan.f64 B)))
	58.2%	(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 F (sin.f64 B)))) F (/.f64 (neg.f64 x) (tan.f64 B)))
▶	84.0%	(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (*.f64 x (cos.f64 B))) (sin.f64 B))
	84.0%	(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B)))
	56.7%	(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
	56.8%	(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (fma.f64 (.f64 B (.f64 B B)) (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B)))))
	56.2%	(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
	33.4%	(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (.f64 x (fma.f64 #s(literal 1/3 binary64) (.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
	44.1%	#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (.f64 F (.f64 B B)) F) (.f64 (.f64 B B) (*.f64 x #s(literal 1/3 binary64)))) x) B))
	28.3%	#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
▶	54.6%	#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
✓	45.1%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B))
	27.3%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (fma.f64 (.f64 F F) (+.f64 (/.f64 (.f64 F F) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
▶	45.0%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B))
	30.4%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 x)) B))
	17.2%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B))
	27.1%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
	30.1%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B))
	32.8%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B))
	17.2%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x)) B))
	31.1%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (fma.f64 (.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (.f64 x (neg.f64 x))) (+.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) x)) B))
	31.1%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) x) (fma.f64 (.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (.f64 x (neg.f64 x))))) B))
	45.1%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) x) B))
	58.6%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)))
	26.2%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B))
	26.6%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))
	30.1%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
	32.9%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
	16.8%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B))
▶	30.2%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
	45.0%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) x))))
	38.2%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) #s(approx (/ (* x (cos B)) (sin B)) (/.f64 x B))))
	58.5%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (-.f64 #s(literal -1 binary64) (.f64 x (cos.f64 B)))))
	44.9%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) x)))
	29.6%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B))))
	54.7%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))))
	25.9%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 B (.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B))))
	26.6%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 B (.f64 F F))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
	28.1%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F B)) (/.f64 x B))))
	25.2%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 F (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) B))) (/.f64 x B))))
	15.5%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
	15.6%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 (.f64 F (sqrt.f64 #s(literal 1/2 binary64))) B) (/.f64 #s(literal -1 binary64) B)))))
	32.4%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 (-.f64 (fma.f64 (.f64 B B) (+.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) x) B)))
▶	17.5%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))

Compiler

Compiled 1 978 to 1 156 computations (41.6% saved)

simplify204.0ms (1.3%)

Memory

-22.4MiB live, 169.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 (cos.f64 B) (sin.f64 B))
cost-diff	0	(neg.f64 x)
cost-diff	0	(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
cost-diff	0	#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
cost-diff	0	(sin.f64 B)
cost-diff	0	(/.f64 #s(literal -1 binary64) (sin.f64 B))
cost-diff	0	#s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 #s(literal -1 binary64) (sin.f64 B)))
cost-diff	0	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
cost-diff	0	(sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))
cost-diff	0	(fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x))
cost-diff	0	(/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B)
cost-diff	0	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))
cost-diff	0	(/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)
cost-diff	0	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
cost-diff	0	(sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
cost-diff	0	(/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
cost-diff	0	(-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (*.f64 x (cos.f64 B)))
cost-diff	0	(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (*.f64 x (cos.f64 B))) (sin.f64 B))

Rules

2 208×	`lower-fma.f32`
2 200×	`lower-fma.f64`
1 368×	`lower-*.f32`
1 364×	`lower-*.f64`
672×	`div-sub`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	67	426
0	92	411
1	150	401
2	221	401
3	397	401
4	598	399
5	989	397
6	1570	395
7	2859	395
8	3984	395
9	4363	395
10	4599	395
11	4729	395
12	4760	395
13	4825	395
14	4915	395
15	4963	395
16	4965	395
17	4965	395
0	4965	395

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (*.f64 x (cos.f64 B))) (sin.f64 B))
(/.f64 (fma.f64 x (neg.f64 (cos.f64 B)) (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (sin.f64 B))
(-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (*.f64 x (cos.f64 B)))
(fma.f64 x (neg.f64 (cos.f64 B)) (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
(/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
F
(sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
(fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
#s(literal 2 binary64)
x
(*.f64 x (cos.f64 B))
(cos.f64 B)
B
(sin.f64 B)
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
(/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)
#s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))
(neg.f64 x)
x
B
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B))
(/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B)
(fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x))
F
(sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))
#s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))
#s(literal 1 binary64)
(fma.f64 F F #s(literal 2 binary64))
#s(literal 2 binary64)
(neg.f64 x)
x
B
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
#s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 #s(literal -1 binary64) (sin.f64 B)))
(/.f64 #s(literal -1 binary64) (sin.f64 B))
#s(literal -1 binary64)
(sin.f64 B)
B
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(neg.f64 x)
x
(/.f64 (cos.f64 B) (sin.f64 B))
(cos.f64 B)
B
(sin.f64 B)

localize429.0ms (2.8%)

Memory

22.3MiB live, 263.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(sin.f64 B)
accuracy	0.14453125	(/.f64 (cos.f64 B) (sin.f64 B))
accuracy	0.26171875	(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
accuracy	28.90967255082746	#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
accuracy	0.00390625	(sin.f64 B)
accuracy	0.08984375	(/.f64 #s(literal -1 binary64) (sin.f64 B))
accuracy	26.38593805794467	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
accuracy	27.573922591502633	#s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 #s(literal -1 binary64) (sin.f64 B)))
accuracy	0.46224748479769545	(/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))
accuracy	13.059570687593817	#s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))
accuracy	16.88751839002007	(sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))
accuracy	29.512344220523786	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B))
accuracy	0	(neg.f64 x)
accuracy	0.046875	(/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)
accuracy	28.687526961323186	#s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))
accuracy	29.512344220523786	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
accuracy	0.12109375	(*.f64 x (cos.f64 B))
accuracy	0.171875	(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (*.f64 x (cos.f64 B))) (sin.f64 B))
accuracy	0.1796875	(/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
accuracy	17.463423839524843	(sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))

Samples

109.0ms

256×

valid

Compiler

Compiled 349 to 52 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-div: 21.0ms (23.7% of total)

ival-pow: 18.0ms (20.3% of total)

ival-mult: 14.0ms (15.8% of total)

ival-add: 10.0ms (11.3% of total)

ival-cos: 7.0ms (7.9% of total)

ival-sin: 5.0ms (5.6% of total)

ival-tan: 5.0ms (5.6% of total)

ival-sqrt: 4.0ms (4.5% of total)

ival-neg: 3.0ms (3.4% of total)

ival-sub: 2.0ms (2.3% of total)

exact: 1.0ms (1.1% of total)

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

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

series59.0ms (0.4%)

Memory

-15.2MiB live, 100.3MiB allocated

Counts

22 → 564

Calls

Call 1

Inputs
#s(alt (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (.f64 x (cos.f64 B))) (patch (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (.f64 x (cos.f64 B))) #<representation binary64>) () ())
#s(alt (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (patch (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (patch (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)) (patch #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B) (patch (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B) #<representation binary64>) () ())
#s(alt #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) (patch #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B)) (patch #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B) (patch (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B) #<representation binary64>) () ())
#s(alt (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) (patch (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (patch (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 #s(literal -1 binary64) (sin.f64 B)))) (patch #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 #s(literal -1 binary64) (sin.f64 B)))) #<representation binary64>) () ())
#s(alt #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (patch #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal -1 binary64) (sin.f64 B)) #<representation binary64>) () ())
#s(alt (sin.f64 B) (patch (sin.f64 B) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) (patch #s(approx (+ ( (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) (patch (.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) #<representation binary64>) () ())
#s(alt (/.f64 (cos.f64 B) (sin.f64 B)) (patch (/.f64 (cos.f64 B) (sin.f64 B)) #<representation binary64>) () ())
#s(alt (.f64 x (cos.f64 B)) (patch (.f64 x (cos.f64 B)) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (patch #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) #<representation binary64>) () ())

Outputs
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor 0 F) (#s(alt (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) (taylor 0 F) (#s(alt (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))))) (taylor 0 F) (#s(alt (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) (taylor 0 F) (#s(alt (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (* x (cos B))) (sin B)) (taylor inf F) (#s(alt (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) (/ (* x (cos B)) (sin B))) (taylor inf F) (#s(alt (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) (/ (* x (cos B)) (sin B))) (taylor inf F) (#s(alt (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) (/ (* x (cos B)) (sin B))) (taylor inf F) (#s(alt (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* x (cos B))) (sin B))) (taylor -inf F) (#s(alt (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ 1 (* x (cos B))) (sin B))) (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B))))) (taylor -inf F) (#s(alt (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ 1 (* x (cos B))) (sin B))) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))))) (taylor -inf F) (#s(alt (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ 1 (* x (cos B))) (sin B))) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B))))))) (taylor -inf F) (#s(alt (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor inf x) (#s(alt (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ (cos B) (sin B))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) (taylor inf x) (#s(alt (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ (cos B) (sin B))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))))) (taylor inf x) (#s(alt (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ())
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#s(alt (/ (- 1 (* 2 (/ 1 (pow F 2)))) (pow F 2)) (taylor inf F) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 4 (pow F 4))) (* 2 (/ 1 (pow F 2)))) (pow F 2)) (taylor inf F) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 4 (pow F 4))) (+ (* 2 (/ 1 (pow F 2))) (* 8 (/ 1 (pow F 6))))) (pow F 2)) (taylor inf F) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow F 2)) (taylor -inf F) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (* 2 (/ 1 (pow F 2)))) (pow F 2)) (taylor -inf F) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 4 (pow F 4))) (* 2 (/ 1 (pow F 2)))) (pow F 2)) (taylor -inf F) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 4 (pow F 4))) (+ (* 2 (/ 1 (pow F 2))) (* 8 (/ 1 (pow F 6))))) (pow F 2)) (taylor -inf F) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) #<representation binary64>) () ())) ())

Calls

141 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(sqrt (+ (* F F) (+ (* 2 x) 2)))
1.0ms	B	@	0	(/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B))
1.0ms	x	@	inf	(sqrt (+ (* F F) (+ (* 2 x) 2)))
1.0ms	B	@	inf	(/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B))
1.0ms	B	@	-inf	(/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B))

simplify422.0ms (2.7%)

Memory

7.4MiB live, 454.2MiB allocated

Algorithm

1×	egg-herbie

Rules

11 798×	`lower-fma.f64`
11 798×	`lower-fma.f32`
6 896×	`lower-*.f64`
6 896×	`lower-*.f32`
6 016×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1107	15716
1	3385	15271
0	8592	13944

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 561

Calls

Call 1

Inputs
(* -1 (/ (* x (cos B)) (sin B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))
(+ (* -1 (/ (* x (cos B)) (sin B))) (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))))
(+ (* -1 (/ (* x (cos B)) (sin B))) (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))
(/ (- 1 (* x (cos B))) (sin B))
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) (/ (* x (cos B)) (sin B)))
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) (/ (* x (cos B)) (sin B)))
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) (/ (* x (cos B)) (sin B)))
(* -1 (/ (+ 1 (* x (cos B))) (sin B)))
(+ (* -1 (/ (+ 1 (* x (cos B))) (sin B))) (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))))
(+ (* -1 (/ (+ 1 (* x (cos B))) (sin B))) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))))
(+ (* -1 (/ (+ 1 (* x (cos B))) (sin B))) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))
(+ (* x (- (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(* -1 (/ (* x (cos B)) (sin B)))
(* x (+ (* -1 (/ (cos B) (sin B))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -1 (/ (cos B) (sin B))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))))
(* x (+ (* -1 (/ (cos B) (sin B))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))))))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B)))))
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (- (* 1/2 x) (* -1/6 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x))))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (- (+ (* 1/2 x) (* (pow B 2) (- (* -1/24 x) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x)))) (* 1/120 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x)))))) (* -1/6 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x))))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (- (+ (* 1/2 x) (* (pow B 2) (- (+ (* -1/24 x) (* (pow B 2) (- (* 1/720 x) (+ (* -1/6 (- (* -1/24 x) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x)))) (* 1/120 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x))))) (+ (* -1/5040 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x)) (* 1/120 (- (* 1/2 x) (* -1/6 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x))))))))) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x)))) (* 1/120 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x)))))) (* -1/6 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x))))) x) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* x (cos B))) (sin B))
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* x (cos B))) (sin B))
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* x (cos B))) (sin B))
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* x (cos B))) (sin B))
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* x (cos B))) (sin B))
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* x (cos B))) (sin B))
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* x (cos B))) (sin B))
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* x (cos B))) (sin B))
(* -1 (* x (cos B)))
(- (* F (sqrt (/ 1 (+ 2 (* 2 x))))) (* x (cos B)))
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) (* x (cos B)))
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (* x (cos B)))
(- 1 (* x (cos B)))
(- (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) (* x (cos B)))
(- (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) (* x (cos B)))
(- (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) (* x (cos B)))
(* -1 (+ 1 (* x (cos B))))
(- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ 1 (* x (cos B))))
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4)))) (+ 1 (* x (cos B))))
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6))))) (+ 1 (* x (cos B))))
(* F (sqrt (/ 1 (+ 2 (pow F 2)))))
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (cos B))))
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (cos B))))
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (cos B))))
(* -1 (* x (cos B)))
(* x (- (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))) (cos B)))
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (cos B)))
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))))) (cos B)))
(* -1 (* x (cos B)))
(* -1 (* x (- (* -1 (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* -1 (cos B)))))
(* -1 (* x (- (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))) x)) (* -1 (cos B)))))
(* -1 (* x (- (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) x)) (* -1 (cos B)))))
(- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x)
(- (+ (* 1/2 (* (pow B 2) x)) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) x)
(- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (- (* -1/24 (* (pow B 2) x)) (* -1/2 x)))) x)
(- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (- (* (pow B 2) (- (* 1/720 (* (pow B 2) x)) (* 1/24 x))) (* -1/2 x)))) x)
(- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* x (cos B)))
(- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* x (cos B)))
(- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* x (cos B)))
(- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* x (cos B)))
(- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* x (cos B)))
(- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* x (cos B)))
(- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* x (cos B)))
(- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* x (cos B)))
(* F (sqrt (/ 1 (+ 2 (* 2 x)))))
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))))))
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6))))))
-1
(- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) 1)
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4)))) 1)
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6))))) 1)
(* F (sqrt (/ 1 (+ 2 (pow F 2)))))
(+ (* -1 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* F (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))))
(* (* F (sqrt 1/2)) (sqrt (/ 1 x)))
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x))))
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x)))))
(+ (* -1/2 (* (/ (* F (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x))))))
(* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))))
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (sqrt -1/2)) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))))
(sqrt (+ 2 (* 2 x)))
(+ (sqrt (+ 2 (* 2 x))) (* 1/2 (* (pow F 2) (sqrt (/ 1 (+ 2 (* 2 x)))))))
(+ (sqrt (+ 2 (* 2 x))) (* (pow F 2) (+ (* -1/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 1/2 (sqrt (/ 1 (+ 2 (* 2 x))))))))
(+ (sqrt (+ 2 (* 2 x))) (* (pow F 2) (+ (* 1/2 (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 1/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))
F
(* F (+ 1 (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2)))))
(* F (+ 1 (+ (* -1/8 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))))))
(* F (+ 1 (+ (* -1/8 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 1/16 (/ (pow (+ 2 (* 2 x)) 3) (pow F 6))) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2)))))))
(* -1 F)
(* -1 (* F (+ 1 (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))))))
(* -1 (* F (+ 1 (+ (* -1/8 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2)))))))
(* -1 (* F (+ 1 (+ (* -1/8 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 1/16 (/ (pow (+ 2 (* 2 x)) 3) (pow F 6))) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))))))))
(sqrt (+ 2 (pow F 2)))
(+ (sqrt (+ 2 (pow F 2))) (* x (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (sqrt (+ 2 (pow F 2))) (* x (+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* -1/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))))))
(+ (sqrt (+ 2 (pow F 2))) (* x (+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* 1/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))))
(* (sqrt x) (sqrt 2))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 2)))) (* (sqrt (/ 1 x)) (sqrt 2))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 2)))) (* (sqrt (/ 1 x)) (sqrt 2)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow (+ 2 (pow F 2)) 3) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 2)))) (* (sqrt (/ 1 x)) (sqrt 2))))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1))))))
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(/ -1 B)
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B
(* B (+ 1 (* -1/6 (pow B 2))))
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(* B (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/120 (* -1/5040 (pow B 2)))) 1/6))))
(sin B)
(sin B)
(sin B)
(sin B)
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(sin B)
(sin B)
(sin B)
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))
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(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* -1 (/ (cos B) (sin B))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(* -1 (/ (* x (cos B)) (sin B)))
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(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B)))))
(* -1 (/ (* x (cos B)) (sin B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))
(+ (* -1 (/ (* x (cos B)) (sin B))) (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))))
(+ (* -1 (/ (* x (cos B)) (sin B))) (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))))
(+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))))
(+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))))
(- (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(- (+ (* -1 (/ (* x (cos B)) (sin B))) (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B))))) (/ 1 (sin B)))
(- (+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))))) (/ 1 (sin B)))
(- (+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B))))))) (/ 1 (sin B)))
(/ (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B)
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x))))) B)
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x))))))))) B)
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x)))))))))))))) B)
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))
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(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))
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(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ x B))
(/ (+ (* -1 x) (* -1 (* (pow B 2) (- (* -1/2 x) (* -1/6 x))))) B)
(/ (+ (* -1 x) (* (pow B 2) (+ (* -1 (* (pow B 2) (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))) (* -1 (- (* -1/2 x) (* -1/6 x)))))) B)
(/ (+ (* -1 x) (* (pow B 2) (+ (* -1 (- (* -1/2 x) (* -1/6 x))) (* (pow B 2) (+ (* -1 (* (pow B 2) (- (* -1/720 x) (+ (* -1/6 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x)))) (+ (* -1/5040 x) (* 1/120 (- (* -1/2 x) (* -1/6 x)))))))) (* -1 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))))))) B)
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/ 1 B)
(/ (+ 1 (* -1/3 (pow B 2))) B)
(/ (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))) B)
(/ (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))) B)
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(* x (cos B))
(* x (cos B))
(* x (cos B))
(* x (cos B))
(* x (cos B))
(* x (cos B))
(* x (cos B))
(* x (cos B))
(* x (cos B))
(* x (cos B))
(* x (cos B))
(* x (cos B))
x
(+ x (* -1/2 (* (pow B 2) x)))
(+ x (* (pow B 2) (+ (* -1/2 x) (* 1/24 (* (pow B 2) x)))))
(+ x (* (pow B 2) (+ (* -1/2 x) (* (pow B 2) (+ (* -1/720 (* (pow B 2) x)) (* 1/24 x))))))
(* x (cos B))
(* x (cos B))
(* x (cos B))
(* x (cos B))
(* x (cos B))
(* x (cos B))
(* x (cos B))
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(/ 1 (+ 2 (pow F 2)))
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(/ 1/2 x)
(/ (+ 1/2 (* -1/4 (/ (+ 2 (pow F 2)) x))) x)
(/ (- (+ 1/2 (* 1/8 (/ (pow (+ 2 (pow F 2)) 2) (pow x 2)))) (* 1/4 (/ (+ 2 (pow F 2)) x))) x)
(/ (- (+ 1/2 (* -1/16 (/ (pow (+ 2 (pow F 2)) 3) (pow x 3)))) (+ (* -1/8 (/ (pow (+ 2 (pow F 2)) 2) (pow x 2))) (* 1/4 (/ (+ 2 (pow F 2)) x)))) x)
(/ 1/2 x)
(* -1 (/ (- (* 1/4 (/ (+ 2 (pow F 2)) x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (+ 2 (pow F 2)) 2) x)) (* 1/4 (+ 2 (pow F 2)))) x)) 1/2) x))
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(/ 1 (+ 2 (* 2 x)))
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(/ 1 (pow F 2))
(/ (+ 1 (* -1 (/ (+ 2 (* 2 x)) (pow F 2)))) (pow F 2))
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(/ (- (+ 1 (* -1 (/ (pow (+ 2 (* 2 x)) 3) (pow F 6)))) (+ (* -1 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2)))))) (pow F 2))
(/ 1 (pow F 2))
(/ (+ 1 (* -1 (/ (+ 2 (* 2 x)) (pow F 2)))) (pow F 2))
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1/2
(+ 1/2 (* -1/4 (pow F 2)))
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(+ 1/2 (* (pow F 2) (- (* (pow F 2) (+ 1/8 (* -1/16 (pow F 2)))) 1/4)))
(/ 1 (pow F 2))
(/ (- 1 (* 2 (/ 1 (pow F 2)))) (pow F 2))
(/ (- (+ 1 (/ 4 (pow F 4))) (* 2 (/ 1 (pow F 2)))) (pow F 2))
(/ (- (+ 1 (/ 4 (pow F 4))) (+ (* 2 (/ 1 (pow F 2))) (* 8 (/ 1 (pow F 6))))) (pow F 2))
(/ 1 (pow F 2))
(/ (- 1 (* 2 (/ 1 (pow F 2)))) (pow F 2))
(/ (- (+ 1 (/ 4 (pow F 4))) (* 2 (/ 1 (pow F 2)))) (pow F 2))
(/ (- (+ 1 (/ 4 (pow F 4))) (+ (* 2 (/ 1 (pow F 2))) (* 8 (/ 1 (pow F 6))))) (pow F 2))

Outputs
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))
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(* -1 (/ (+ 1 (* x (cos B))) (sin B)))
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(+ (* -1 (/ (+ 1 (* x (cos B))) (sin B))) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))))
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(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))
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(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x)))))
(fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 (.f64 F (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (.f64 F (.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 F (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(+ (* -1/2 (* (/ (* F (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x))))))
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(* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))
(.f64 F (.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))))
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(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))))
(fma.f64 F (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (.f64 F (.f64 (.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1/2 binary64))) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 (.f64 (.f64 F (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))))))
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (sqrt -1/2)) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))))
(-.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 (.f64 (.f64 F (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))) (.f64 F (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 (.f64 F (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal -1/64 binary64) (/.f64 (.f64 x (.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (.f64 (.f64 (fma.f64 F F #s(literal 2 binary64)) (.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))) #s(literal 1/16 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)))) (.f64 #s(literal -1/16 binary64) (.f64 (.f64 (sqrt.f64 x) F) (.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))))))) (.f64 x (*.f64 x x))))
(sqrt (+ 2 (* 2 x)))
(sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))
(+ (sqrt (+ 2 (* 2 x))) (* 1/2 (* (pow F 2) (sqrt (/ 1 (+ 2 (* 2 x)))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))
(+ (sqrt (+ 2 (* 2 x))) (* (pow F 2) (+ (* -1/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 1/2 (sqrt (/ 1 (+ 2 (* 2 x))))))))
(fma.f64 (.f64 F F) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))
(+ (sqrt (+ 2 (* 2 x))) (* (pow F 2) (+ (* 1/2 (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 1/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))
(fma.f64 (.f64 F F) (fma.f64 (.f64 F F) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) #s(literal -1/8 binary64) (.f64 (.f64 #s(literal 1/16 binary64) (.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 5 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))
F
(* F (+ 1 (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2)))))
(fma.f64 (.f64 F #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 F F)) F)
(* F (+ 1 (+ (* -1/8 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))))))
(fma.f64 F (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 F F)) (/.f64 (.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (pow.f64 F #s(literal 4 binary64)))) F)
(* F (+ 1 (+ (* -1/8 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 1/16 (/ (pow (+ 2 (* 2 x)) 3) (pow F 6))) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2)))))))
(fma.f64 F (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 F F)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (pow.f64 F #s(literal 6 binary64))) (/.f64 (.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (pow.f64 F #s(literal 4 binary64))))) F)
(* -1 F)
(neg.f64 F)
(* -1 (* F (+ 1 (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))))))
(neg.f64 (fma.f64 (.f64 F #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 F F)) F))
(* -1 (* F (+ 1 (+ (* -1/8 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2)))))))
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(* -1 (* F (+ 1 (+ (* -1/8 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 1/16 (/ (pow (+ 2 (* 2 x)) 3) (pow F 6))) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))))))))
(neg.f64 (fma.f64 F (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 F F)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (pow.f64 F #s(literal 6 binary64))) (/.f64 (.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (pow.f64 F #s(literal 4 binary64))))) F))
(sqrt (+ 2 (pow F 2)))
(sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))
(+ (sqrt (+ 2 (pow F 2))) (* x (sqrt (/ 1 (+ 2 (pow F 2))))))
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))
(+ (sqrt (+ 2 (pow F 2))) (* x (+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* -1/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))))))
(fma.f64 x (fma.f64 (.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))
(+ (sqrt (+ 2 (pow F 2))) (* x (+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* 1/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))))
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(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 2)))) (* (sqrt (/ 1 x)) (sqrt 2))))
(.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 2)))) (* (sqrt (/ 1 x)) (sqrt 2)))))
(.f64 x (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow (+ 2 (pow F 2)) 3) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 2)))) (* (sqrt (/ 1 x)) (sqrt 2))))))
(.f64 x (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (.f64 (fma.f64 F F #s(literal 2 binary64)) (.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (neg.f64 (sqrt.f64 x)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1))))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64))) (.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64)))) (neg.f64 x))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (/.f64 (.f64 (.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -2 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64))) (.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64))))) (neg.f64 x))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 3)) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1))))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (/.f64 (.f64 (.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -2 binary64)))) (fma.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (/.f64 (.f64 (.f64 (fma.f64 F F #s(literal 2 binary64)) (.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 5 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64))) (.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64)))))) (neg.f64 x))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))
(+ (* x (- (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(fma.f64 x (neg.f64 (fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 F F #s(literal 2 binary64)) (.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 (cos.f64 B) (sin.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
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(* F (sqrt (/ 1 (+ 2 (pow F 2)))))
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(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B))))
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(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
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(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B)
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(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
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(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)
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(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
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(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x)))) x)) (/ 1 B))))
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(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B)
(* -1 x)
(neg.f64 x)
(- (* F (sqrt (/ 1 (+ 2 (* 2 x))))) x)
(fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (neg.f64 x))
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) x)
(fma.f64 F (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (neg.f64 x))
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) x)
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(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) x)
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))
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(* -1 (+ 1 x))
(-.f64 #s(literal -1 binary64) x)
(- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ 1 x))
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(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4)))) (+ 1 x))
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(* -1 x)
(neg.f64 x)
(* x (- (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))) 1))
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(* -1 x)
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(* -1 (* x (+ 1 (* -1 (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))))))
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(sqrt (/ 1 (+ 2 (pow F 2))))
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(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* -1 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))))
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(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* 3/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))
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(* (sqrt (/ 1 x)) (sqrt 1/2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2)))
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(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ (- 1 (* 2 (/ 1 (pow F 2)))) (pow F 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 F F))) (.f64 F F))
(/ (- (+ 1 (/ 4 (pow F 4))) (* 2 (/ 1 (pow F 2)))) (pow F 2))
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 F #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 F F)))) (.f64 F F))
(/ (- (+ 1 (/ 4 (pow F 4))) (+ (* 2 (/ 1 (pow F 2))) (* 8 (/ 1 (pow F 6))))) (pow F 2))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 F #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 F F)) (/.f64 #s(literal 8 binary64) (pow.f64 F #s(literal 6 binary64)))))) (.f64 F F))

rewrite307.0ms (2%)

Memory

23.8MiB live, 335.3MiB allocated

Rules

4 792×	`lower-/.f32`
4 778×	`lower-/.f64`
3 612×	`lower-fma.f32`
3 604×	`lower-fma.f64`
3 078×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	67	384
0	92	344
1	404	336
2	3238	336
0	8735	336

Stop Event

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

Counts

22 → 506

Calls

Call 1

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

Outputs
(+.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 (neg.f64 x) (tan.f64 B)))
(+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(exp.f64 (.f64 (log.f64 (/.f64 (sin.f64 B) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (.f64 x (cos.f64 B))))) #s(literal -1 binary64)))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B)))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 x (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 F F) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))) (+.f64 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B)))) (/.f64 (.f64 (.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (+.f64 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B)))))
(-.f64 (/.f64 (.f64 (.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))) (/.f64 (/.f64 (/.f64 (.f64 F F) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))))
(-.f64 (+.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) #s(literal 0 binary64)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 F (.f64 F F)) (.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (.f64 x (cos.f64 B)) (fma.f64 x (cos.f64 B) (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 (.f64 F F) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (sin.f64 B)) (/.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 B)) #s(literal 3 binary64)) (fma.f64 (.f64 x (cos.f64 B)) (fma.f64 x (cos.f64 B) (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 (.f64 F F) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (sin.f64 B)))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 F F) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (fma.f64 x (cos.f64 B) (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sin.f64 B)) (/.f64 (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))) (fma.f64 x (cos.f64 B) (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sin.f64 B)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 B))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (*.f64 x (cos.f64 B))) (neg.f64 (sin.f64 B))))
(-.f64 (/.f64 (/.f64 (.f64 F (.f64 F F)) (.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (.f64 (sin.f64 B) (fma.f64 (.f64 x (cos.f64 B)) (fma.f64 x (cos.f64 B) (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 (.f64 F F) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (/.f64 (pow.f64 (.f64 x (cos.f64 B)) #s(literal 3 binary64)) (.f64 (sin.f64 B) (fma.f64 (.f64 x (cos.f64 B)) (fma.f64 x (cos.f64 B) (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 (.f64 F F) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))))
(-.f64 (/.f64 (/.f64 (.f64 F F) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (.f64 (sin.f64 B) (fma.f64 x (cos.f64 B) (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))) (.f64 (sin.f64 B) (fma.f64 x (cos.f64 B) (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))))
(-.f64 (/.f64 (.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (tan.f64 B)) (.f64 (sin.f64 B) (tan.f64 B))) (/.f64 (.f64 (sin.f64 B) x) (.f64 (sin.f64 B) (tan.f64 B))))
(-.f64 (/.f64 (.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (sin.f64 B)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))) (/.f64 (.f64 (.f64 x (cos.f64 B)) (sin.f64 B)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))))
(-.f64 (/.f64 (.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 (tan.f64 B) x)) (.f64 (sin.f64 B) (/.f64 (tan.f64 B) x))) (/.f64 (.f64 (sin.f64 B) #s(literal 1 binary64)) (.f64 (sin.f64 B) (/.f64 (tan.f64 B) x))))
(-.f64 (/.f64 (.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 (sin.f64 B))) (.f64 (sin.f64 B) (neg.f64 (sin.f64 B)))) (/.f64 (.f64 (sin.f64 B) (.f64 (cos.f64 B) (neg.f64 x))) (*.f64 (sin.f64 B) (neg.f64 (sin.f64 B)))))
(-.f64 (/.f64 (pow.f64 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) #s(literal 3 binary64)) (+.f64 (/.f64 (/.f64 (.f64 F F) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))) (fma.f64 (.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (.f64 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B)))))) (/.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)) (+.f64 (/.f64 (/.f64 (.f64 F F) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))) (fma.f64 (.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B)))))))
(fma.f64 F (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 x (/.f64 #s(literal -1 binary64) (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(fma.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (cos.f64 B) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (neg.f64 x)) (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(fma.f64 (.f64 x (cos.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(fma.f64 #s(literal -1 binary64) (/.f64 x (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(fma.f64 (/.f64 x (tan.f64 B)) #s(literal -1 binary64) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 F (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) F (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(fma.f64 (.f64 (cos.f64 B) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(fma.f64 (pow.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -1/4 binary64)) (/.f64 F (sin.f64 B))) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(fma.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal -1 binary64)) x (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(fma.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -1/4 binary64)) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 x (neg.f64 (sin.f64 B))) (cos.f64 B) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(neg.f64 (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (*.f64 x (cos.f64 B))) (neg.f64 (sin.f64 B))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (*.f64 x (cos.f64 B)))) (sin.f64 B)))
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (*.f64 x (cos.f64 B))) (sin.f64 B))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (*.f64 x (cos.f64 B)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 (.f64 F F) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))) (/.f64 (-.f64 (.f64 (.f64 x (cos.f64 B)) x) (/.f64 (.f64 F (neg.f64 x)) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (.f64 (sin.f64 B) (tan.f64 B)))) (+.f64 (pow.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (/.f64 (-.f64 (/.f64 (.f64 F F) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (/.f64 (-.f64 (/.f64 (.f64 F F) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (.f64 (.f64 (cos.f64 B) (neg.f64 x)) (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))))) (+.f64 (pow.f64 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)))))
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(/.f64 (neg.f64 (*.f64 (cos.f64 B) (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 (sin.f64 B)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)))) (+.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B))))
(/.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (neg.f64 (tan.f64 B)))
(/.f64 (*.f64 (neg.f64 x) (neg.f64 (cos.f64 B))) (neg.f64 (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 (cos.f64 B)) (neg.f64 x)) (neg.f64 (sin.f64 B)))
(/.f64 (neg.f64 (.f64 #s(literal -1 binary64) (.f64 (cos.f64 B) (neg.f64 x)))) (neg.f64 (neg.f64 (sin.f64 B))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x))) (neg.f64 (tan.f64 B)))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) (neg.f64 (tan.f64 B)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (cos.f64 B) (neg.f64 x)))) (neg.f64 (neg.f64 (sin.f64 B))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))))) (neg.f64 (+.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64))) (neg.f64 (neg.f64 (tan.f64 B))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (neg.f64 (cos.f64 B)))) (neg.f64 (neg.f64 (sin.f64 B))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (cos.f64 B)) (neg.f64 x))) (neg.f64 (neg.f64 (sin.f64 B))))
(pow.f64 (/.f64 (tan.f64 B) (neg.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (tan.f64 B) (neg.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal -1 binary64) (tan.f64 B)))
(.f64 (cos.f64 B) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (neg.f64 x)))
(.f64 (.f64 x (cos.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B)))
(*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (tan.f64 B)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(*.f64 #s(literal -1 binary64) (/.f64 x (tan.f64 B)))
(*.f64 (/.f64 x (tan.f64 B)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(.f64 (.f64 (cos.f64 B) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x)
(.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal -1 binary64)) x)
(*.f64 (/.f64 x (neg.f64 (sin.f64 B))) (cos.f64 B))
(exp.f64 (*.f64 (log.f64 (tan.f64 B)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 B))) (/.f64 #s(literal -1 binary64) (tan.f64 B)))
(neg.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 #s(literal 1 binary64) (tan.f64 B))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (tan.f64 B))))
(/.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 B)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (tan.f64 B)))))
(/.f64 (neg.f64 (cos.f64 B)) (neg.f64 (sin.f64 B)))
(/.f64 (neg.f64 (neg.f64 (cos.f64 B))) (neg.f64 (neg.f64 (sin.f64 B))))
(/.f64 (*.f64 #s(literal 1 binary64) (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) #s(literal 1 binary64)) (sin.f64 B))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 B))) (neg.f64 (sin.f64 B)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (cos.f64 B))) (neg.f64 (sin.f64 B)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 B)))) (neg.f64 (neg.f64 (neg.f64 (sin.f64 B)))))
(/.f64 (neg.f64 (*.f64 (cos.f64 B) #s(literal 1 binary64))) (neg.f64 (sin.f64 B)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 B)))) (neg.f64 (neg.f64 (sin.f64 B))))
(pow.f64 (tan.f64 B) #s(literal -1 binary64))
(pow.f64 (pow.f64 (tan.f64 B) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (neg.f64 (tan.f64 B))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (tan.f64 B))) #s(literal -1 binary64))
(*.f64 (cos.f64 B) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 B)))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal 1 binary64))
(*.f64 (neg.f64 (cos.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (cos.f64 B))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(*.f64 x (cos.f64 B))
(*.f64 (cos.f64 B) x)
(exp.f64 (fma.f64 (log.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) #s(literal 1/2 binary64) (.f64 (log.f64 #s(approx (/ 1 (+ ( x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(sqrt.f64 (.f64 #s(approx (/ 1 (+ ( x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
#s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))
(pow.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (.f64 #s(approx (/ 1 (+ ( x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 #s(approx (/ 1 (+ ( x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 F F #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 F F #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 F F #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 F F #s(literal 2 binary64))))))
(pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (neg.f64 (fma.f64 F F #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (fma.f64 F F #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 F F #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 F F) (.f64 (.f64 F F) (.f64 F F)) #s(literal 8 binary64))) (-.f64 (fma.f64 (.f64 F F) (.f64 F F) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (*.f64 F F))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 F F) (.f64 (.f64 F F) (.f64 F F)) #s(literal 8 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 F F) (.f64 F F) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (*.f64 F F)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 F F) (*.f64 F F) #s(literal -4 binary64))) (fma.f64 F F #s(literal -2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 F F) (*.f64 F F) #s(literal -4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal -2 binary64))) #s(literal -1 binary64)))

eval226.0ms (1.5%)

Memory: -12.7MiB live, 333.8MiB allocated
Compiler: Compiled 33 511 to 2 675 computations (92% saved)

prune727.0ms (4.7%)

Memory

-1.7MiB live, 515.1MiB allocated

Pruning

58 alts after pruning (54 fresh and 4 done)

	Pruned	Kept	Total
New	1 099	38	1 137
Fresh	27	16	43
Picked	2	3	5
Done	0	1	1
Total	1 128	58	1 186

Accuracy

100.0%

Counts

1 186 → 58

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.4%	(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 F (sin.f64 B)))) F (/.f64 (neg.f64 x) (tan.f64 B)))
	58.2%	(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 F (sin.f64 B)))) F (/.f64 (neg.f64 x) (tan.f64 B)))
	47.0%	(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) #s(approx (* x (cos B)) (fma.f64 #s(literal -1/2 binary64) (.f64 x (.f64 B B)) x))) (sin.f64 B))
	56.9%	(/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* F F) (+ (* 2 x) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (*.f64 x (cos.f64 B))) (sin.f64 B))
	56.7%	(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) #s(literal 1 binary64)) (*.f64 x (cos.f64 B))) (sin.f64 B))
	58.6%	(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) #s(literal -1 binary64)) (*.f64 x (cos.f64 B))) (sin.f64 B))
	59.4%	(/.f64 #s(approx (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x))) (sin.f64 B))
	54.7%	(/.f64 #s(approx (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (*.f64 x (neg.f64 (cos.f64 B)))) (sin.f64 B))
	29.6%	(/.f64 #s(approx (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (sin.f64 B))
▶	84.0%	(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B)))
	56.7%	(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
	56.2%	(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
	33.4%	(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (.f64 x (fma.f64 #s(literal 1/3 binary64) (.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
▶	28.3%	#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
	44.1%	#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (.f64 F (.f64 B B)) F) (.f64 (.f64 B B) (*.f64 x #s(literal 1/3 binary64)))) x) B))
	23.4%	#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)))) (+.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B)))))
	54.7%	#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (neg.f64 x) (tan.f64 B)))
	54.6%	#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)))
	54.7%	#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (/.f64 x (neg.f64 (sin.f64 B))) (cos.f64 B)))
	54.6%	#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x))
	54.6%	#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (.f64 (.f64 x (cos.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
	29.5%	#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (*.f64 B B) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) B))))
	29.7%	#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (.f64 B B) #s(literal -1/3 binary64) #s(literal 1 binary64)) B))))
	30.1%	#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 #s(literal 1 binary64) B))))
	29.6%	#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (-.f64 (.f64 x #s(literal 1/24 binary64)) (fma.f64 x #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x #s(literal -1/3 binary64))))) (neg.f64 (.f64 B B)) (.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) B)))
	29.8%	#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (-.f64 (.f64 (.f64 x (*.f64 B B)) #s(literal 1/3 binary64)) x) B)))
✓	45.1%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B))
✓	45.0%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B))
	17.2%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B))
	27.3%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (.f64 F F) (fma.f64 (.f64 F F) #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))) (neg.f64 x)) B))
▶	21.8%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (*.f64 F F) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) (neg.f64 x)) B))
	31.9%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) (neg.f64 x)) B))
	27.1%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (neg.f64 x)) B))
	30.1%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B))
	17.2%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x)) B))
	45.1%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) x) B))
	26.2%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B))
	26.6%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))
	10.3%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) B))
	24.3%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
	30.1%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
	32.9%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
✓	30.2%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
	44.9%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)))))
	45.0%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) x))))
	30.2%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))))
	44.9%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ ( x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) B)))
	29.6%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B))))
	25.9%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 B (.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B))))
	26.6%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 B (.f64 F F))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
▶	28.1%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 F B)) (/.f64 x B))))
	25.2%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 F (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B))) (/.f64 x B))))
	15.5%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
	32.4%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal -1/6 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (-.f64 #s(literal -1 binary64) x)) B)))
✓	17.5%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
	11.9%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (fma.f64 (.f64 B #s(literal -1/6 binary64)) (.f64 B B) B)))))
	12.0%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal -1/6 binary64) #s(literal -1 binary64)) B))))
▶	12.2%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))

Compiler

Compiled 2 022 to 1 210 computations (40.2% saved)

simplify364.0ms (2.4%)

Memory

-15.8MiB live, 124.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 B)
cost-diff	0	(/.f64 F (sin.f64 B))
cost-diff	0	(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))
cost-diff	0	#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
cost-diff	0	#s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 F B)) (/.f64 x B)))
cost-diff	0	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 F B)) (/.f64 x B))))
cost-diff	192	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))
cost-diff	704	(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 F B)) (/.f64 x B))
cost-diff	0	(sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (*.f64 F F) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
cost-diff	0	(fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (*.f64 F F) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) (neg.f64 x))
cost-diff	0	(/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (*.f64 F F) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) (neg.f64 x)) B)
cost-diff	0	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (*.f64 F F) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) (neg.f64 x)) B))
cost-diff	0	(/.f64 #s(literal -1 binary64) B)
cost-diff	0	#s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))
cost-diff	0	#s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B)))
cost-diff	0	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
cost-diff	0	(sin.f64 B)
cost-diff	0	(*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
cost-diff	0	(/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
cost-diff	0	(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B)))

Rules

3 168×	`lower-fma.f32`
3 156×	`lower-fma.f64`
1 944×	`lower-*.f32`
1 936×	`lower-*.f64`
946×	`div-sub`

Iterations

Useful iterations: 12 (0.0ms)

Iter	Nodes	Cost
0	81	561
0	115	549
1	183	540
2	276	534
3	466	534
4	727	532
5	1196	530
6	1926	528
7	3644	528
8	4817	528
9	5432	528
10	5648	528
11	5781	528
12	5840	522
13	6113	522
14	6276	522
15	6304	522
16	6306	522
17	6306	522
18	6306	522
19	6314	522
20	6322	522
0	6322	522

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B)))
(/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
F
(*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(sin.f64 B)
B
(sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
(fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
#s(literal 2 binary64)
x
(/.f64 x (tan.f64 B))
(tan.f64 B)
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B)))
#s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))
(/.f64 #s(literal -1 binary64) B)
#s(literal -1 binary64)
B
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (*.f64 F F) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 F (*.f64 F #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))) (neg.f64 x)) B))
(/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (*.f64 F F) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) (neg.f64 x)) B)
(/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 F (*.f64 F #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))) (neg.f64 x)) B)
(fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (*.f64 F F) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) (neg.f64 x))
(fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 F (*.f64 F #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))) (neg.f64 x))
F
(sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (*.f64 F F) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 F (*.f64 F #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))))
#s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (*.f64 F F) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 F (*.f64 F #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (*.f64 F F) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
#s(approx (/ 1 (+ (* F F) 2)) (fma.f64 F (*.f64 F #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 F F) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 F (*.f64 F #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(*.f64 F F)
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
(neg.f64 x)
x
B
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 F B)) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal 1 binary64)))) (neg.f64 x)) B)))
#s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 F B)) (/.f64 x B)))
#s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal 1 binary64)))) (neg.f64 x)) B))
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 F B)) (/.f64 x B))
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal 1 binary64)))) (neg.f64 x)) B)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 F B))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal 1 binary64)))) (/.f64 F B))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(/.f64 F B)
F
B
(/.f64 x B)
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))
(/.f64 F (sin.f64 B))
F
(sin.f64 B)
B
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))
#s(literal 1 binary64)
(fma.f64 F F #s(literal 2 binary64))
#s(literal 2 binary64)

localize320.0ms (2.1%)

Memory

41.0MiB live, 304.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.45052873479769545	(/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))
accuracy	6.876724093963389	(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))
accuracy	13.35953845756753	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))
accuracy	28.288003130451386	#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
accuracy	0.5179058814288536	(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 F B)) (/.f64 x B))
accuracy	1.3763584934980164	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 F B))
accuracy	20.482459525108204	#s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 F B)) (/.f64 x B)))
accuracy	27.075659675406435	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 F B)) (/.f64 x B))))
accuracy	12.918655320963861	#s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (*.f64 F F) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
accuracy	13.38297595756753	(sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (*.f64 F F) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
accuracy	27.075659675406435	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (*.f64 F F) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) (neg.f64 x)) B))
accuracy	28.70772844453827	#s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (*.f64 F F) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
accuracy	0	(/.f64 #s(literal -1 binary64) B)
accuracy	20.703565697024352	#s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B)))
accuracy	26.24964587799049	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
accuracy	27.177509601995443	#s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))
accuracy	0.09765625	(/.f64 x (tan.f64 B))
accuracy	0.2109375	(/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
accuracy	0.244472509768442	(*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
accuracy	13.96610645455141	(sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))

Samples

183.0ms	228×	0	valid
12.0ms	28×	0	invalid

Compiler

Compiled 412 to 61 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 168.0ms

ival-mult: 62.0ms (36.9% of total)

ival-div: 55.0ms (32.7% of total)

ival-sin: 12.0ms (7.1% of total)

ival-add: 10.0ms (5.9% of total)

ival-sqrt: 7.0ms (4.2% of total)

ival-pow: 6.0ms (3.6% of total)

ival-tan: 5.0ms (3% of total)

ival-cos: 5.0ms (3% of total)

ival-sub: 4.0ms (2.4% of total)

ival-neg: 3.0ms (1.8% of total)

exact: 1.0ms (0.6% of total)

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

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

series128.0ms (0.8%)

Memory

-3.4MiB live, 146.0MiB allocated

Counts

26 → 672

Calls

Call 1

Inputs
#s(alt (-.f64 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())
#s(alt (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (patch (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) #<representation binary64>) () ())
#s(alt (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (patch (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (sin.f64 B) (patch (sin.f64 B) #<representation binary64>) () ())
#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B)))) (patch #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B)))) #<representation binary64>) () ())
#s(alt #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))) (patch #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))) #<representation binary64>) () ())
#s(alt #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B)) (patch #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) B) (patch (/.f64 #s(literal -1 binary64) B) #<representation binary64>) () ())
#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (.f64 F F) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) (neg.f64 x)) B)) (patch #s(approx (+ (neg ( x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (*.f64 F F) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) (neg.f64 x)) B)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (.f64 F F) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) (neg.f64 x)) B) (patch (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ ( x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (*.f64 F F) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) (neg.f64 x)) B) #<representation binary64>) () ())
#s(alt (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (.f64 F F) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) (neg.f64 x)) (patch (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ ( x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (*.f64 F F) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (.f64 F F) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) (patch (sqrt.f64 #s(approx (/ 1 (+ ( x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (*.f64 F F) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 F B)) (/.f64 x B)) (patch (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 F B)) (/.f64 x B)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 F B)) (/.f64 x B)))) (patch #s(approx (+ (neg ( x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 F B)) (/.f64 x B)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 F B)) (/.f64 x B))) (patch #s(approx (/ (+ ( F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 F B)) (/.f64 x B))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (patch #s(approx (/ (- (/ F (sqrt (+ ( F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (patch (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 F (sin.f64 B)) (patch (/.f64 F (sin.f64 B)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (patch (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 x (tan.f64 B)) (patch (/.f64 x (tan.f64 B)) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (.f64 F F) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (patch #s(approx (/ 1 (+ ( F F) 2)) (fma.f64 (*.f64 F F) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (.f64 F F) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) (patch #s(approx (/ 1 (+ ( x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (*.f64 F F) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 F B)) (patch (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 F B)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) #<representation binary64>) () ())

Outputs
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor 0 F) (#s(alt (-.f64 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B))) (taylor 0 F) (#s(alt (-.f64 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (- (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) (/ (* x (cos B)) (sin B))) (taylor 0 F) (#s(alt (-.f64 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (- (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (/ (* x (cos B)) (sin B))) (taylor 0 F) (#s(alt (-.f64 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
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#s(alt (/ (- 1 (* 2 (/ 1 (pow F 2)))) (pow F 2)) (taylor -inf F) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 4 (pow F 4))) (* 2 (/ 1 (pow F 2)))) (pow F 2)) (taylor -inf F) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 4 (pow F 4))) (+ (* 2 (/ 1 (pow F 2))) (* 8 (/ 1 (pow F 6))))) (pow F 2)) (taylor -inf F) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) #<representation binary64>) () ())) ())

Calls

168 calls:

Time	Variable		Point	Expression
21.0ms	B	@	inf	(/ F (* (sin B) (sqrt (+ (* F F) (+ (* 2 x) 2)))))
21.0ms	F	@	-inf	(* (/ F (sin B)) (sqrt (/ 1 (+ (* F F) 2))))
1.0ms	B	@	0	(- (* (sqrt (/ 1 (+ (* x 2) 2))) (/ F B)) (/ x B))
1.0ms	B	@	inf	(- (* (sqrt (/ 1 (+ (* x 2) 2))) (/ F B)) (/ x B))
1.0ms	x	@	-inf	(* (sin B) (sqrt (+ (* F F) (+ (* 2 x) 2))))

simplify389.0ms (2.5%)

Memory

-18.9MiB live, 585.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 558×	`lower-fma.f64`
7 558×	`lower-fma.f32`
7 512×	`lower-*.f64`
7 512×	`lower-*.f32`
5 378×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1409	18087
1	4525	17754
0	8715	16418

Stop Event

1×	iter limit
1×	node limit

Counts

672 → 670

Calls

Call 1

Inputs
(* -1 (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B)))
(- (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) (/ (* x (cos B)) (sin B)))
(- (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) (/ (* x (cos B)) (sin B)))
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) (/ (* x (cos B)) (sin B)))
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) (/ (* x (cos B)) (sin B)))
(* -1 (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B))))
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B))))
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B))))
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B))))
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))
(+ (* x (- (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(* -1 (/ (* x (cos B)) (sin B)))
(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B))))
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B))))
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) (/ (cos B) (sin B))))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B)))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))
(* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))))
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))))
(/ 1 (sin B))
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B)))
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B))))
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B)))))
(/ -1 (sin B))
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B)))
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (/ 1 (sin B)))
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (/ 1 (sin B)))
(* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B)
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* -1 (* (* (pow B 2) (+ (* -1/36 F) (* 1/120 F))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))) B)
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (* -1 (* (* (pow B 2) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F)))))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) B)
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))
(+ (* -1 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))))
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))))
(+ (* -1/2 (* (/ (* F (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))))))
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))))
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))))
(* B (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))
(* B (+ (sqrt (+ 2 (+ (* 2 x) (pow F 2)))) (* -1/6 (* (pow B 2) (sqrt (+ 2 (+ (* 2 x) (pow F 2))))))))
(* B (+ (sqrt (+ 2 (+ (* 2 x) (pow F 2)))) (* (pow B 2) (+ (* -1/6 (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) (* 1/120 (* (pow B 2) (sqrt (+ 2 (+ (* 2 x) (pow F 2))))))))))
(* B (+ (sqrt (+ 2 (+ (* 2 x) (pow F 2)))) (* (pow B 2) (+ (* -1/6 (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) (* (pow B 2) (+ (* -1/5040 (* (pow B 2) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))) (* 1/120 (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))))))))
(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))
(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))
(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))
(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))
(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))
(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))
(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))
(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))
(* (sin B) (sqrt (+ 2 (* 2 x))))
(+ (* 1/2 (* (* (pow F 2) (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) (* (sin B) (sqrt (+ 2 (* 2 x)))))
(+ (* (sin B) (sqrt (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/8 (* (* (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 1/2 (* (sin B) (sqrt (/ 1 (+ 2 (* 2 x)))))))))
(+ (* (sin B) (sqrt (+ 2 (* 2 x)))) (* (pow F 2) (+ (* 1/2 (* (sin B) (sqrt (/ 1 (+ 2 (* 2 x)))))) (* (pow F 2) (+ (* -1/8 (* (sin B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 1/16 (* (* (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))
(* F (sin B))
(* F (+ (sin B) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2)))))
(* F (+ (sin B) (+ (* -1/8 (/ (* (sin B) (pow (+ 2 (* 2 x)) 2)) (pow F 4))) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2))))))
(* F (+ (sin B) (+ (* -1/8 (/ (* (sin B) (pow (+ 2 (* 2 x)) 2)) (pow F 4))) (+ (* 1/16 (/ (* (sin B) (pow (+ 2 (* 2 x)) 3)) (pow F 6))) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2)))))))
(* -1 (* F (sin B)))
(* -1 (* F (+ (sin B) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2))))))
(* -1 (* F (+ (sin B) (+ (* -1/8 (/ (* (sin B) (pow (+ 2 (* 2 x)) 2)) (pow F 4))) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2)))))))
(* -1 (* F (+ (sin B) (+ (* -1/8 (/ (* (sin B) (pow (+ 2 (* 2 x)) 2)) (pow F 4))) (+ (* 1/16 (/ (* (sin B) (pow (+ 2 (* 2 x)) 3)) (pow F 6))) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2))))))))
(* (sin B) (sqrt (+ 2 (pow F 2))))
(+ (* (sin B) (sqrt (+ 2 (pow F 2)))) (* (* x (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (* x (+ (* -1/2 (* (* x (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt (/ 1 (+ 2 (pow F 2))))))) (* (sin B) (sqrt (+ 2 (pow F 2)))))
(+ (* x (+ (* x (+ (* -1/2 (* (sin B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 1/2 (* (* x (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (sin B) (sqrt (/ 1 (+ 2 (pow F 2))))))) (* (sin B) (sqrt (+ 2 (pow F 2)))))
(* (sqrt x) (* (sin B) (sqrt 2)))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (+ 2 (pow F 2))) (sqrt 2)))) (* (sqrt (/ 1 x)) (* (sin B) (sqrt 2)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sin B) (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (+ 2 (pow F 2))) (sqrt 2)))) (* (sqrt (/ 1 x)) (* (sin B) (sqrt 2))))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sin B) (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (* (sin B) (pow (+ 2 (pow F 2)) 3)) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (+ 2 (pow F 2))) (sqrt 2)))) (* (sqrt (/ 1 x)) (* (sin B) (sqrt 2)))))))
(* -1 (* (sqrt x) (* (sin B) (* (sqrt -2) (sqrt -1)))))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sin B) (* (sqrt -2) (sqrt -1)))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sin B) (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sin B) (* (sqrt -2) (sqrt -1))))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sin B) (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (* (sin B) (* (sqrt -1) (pow (+ 2 (pow F 2)) 3))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sin B) (* (sqrt -2) (sqrt -1)))))))))
B
(* B (+ 1 (* -1/6 (pow B 2))))
(* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6))))
(* B (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/120 (* -1/5040 (pow B 2)))) 1/6))))
(sin B)
(sin B)
(sin B)
(sin B)
(sin B)
(sin B)
(sin B)
(sin B)
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))
(+ (* x (- (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(* -1 (/ (* x (cos B)) (sin B)))
(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B))))
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(+ (* -1 (/ (+ 1 (* x (cos B))) (sin B))) (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))))
(+ (* -1 (/ (+ 1 (* x (cos B))) (sin B))) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))))
(+ (* -1 (/ (+ 1 (* x (cos B))) (sin B))) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))
(+ (* x (- (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(* -1 (/ (* x (cos B)) (sin B)))
(* x (+ (* -1 (/ (cos B) (sin B))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -1 (/ (cos B) (sin B))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))))
(* x (+ (* -1 (/ (cos B) (sin B))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))))))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B)))))
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (- (* 1/2 x) (* -1/6 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x))))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (- (+ (* 1/2 x) (* (pow B 2) (- (* -1/24 x) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x)))) (* 1/120 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x)))))) (* -1/6 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x))))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (- (+ (* 1/2 x) (* (pow B 2) (- (+ (* -1/24 x) (* (pow B 2) (- (* 1/720 x) (+ (* -1/6 (- (* -1/24 x) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x)))) (* 1/120 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x))))) (+ (* -1/5040 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x)) (* 1/120 (- (* 1/2 x) (* -1/6 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x))))))))) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x)))) (* 1/120 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x)))))) (* -1/6 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x))))) x) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* x (cos B))) (sin B))
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* x (cos B))) (sin B))
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* x (cos B))) (sin B))
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* x (cos B))) (sin B))
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* x (cos B))) (sin B))
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* x (cos B))) (sin B))
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* x (cos B))) (sin B))
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* x (cos B))) (sin B))
(/ (* F (sqrt 1/2)) (sin B))
(* F (+ (* -1/8 (/ (pow F 2) (* (sin B) (sqrt 1/2)))) (/ (sqrt 1/2) (sin B))))
(* F (+ (* (pow F 2) (- (* 1/2 (/ (* (pow F 2) (- 1/8 (* 1/64 (/ 1 (pow (sqrt 1/2) 2))))) (* (sin B) (sqrt 1/2)))) (* 1/8 (/ 1 (* (sin B) (sqrt 1/2)))))) (/ (sqrt 1/2) (sin B))))
(* F (+ (* (pow F 2) (- (* (pow F 2) (+ (* -1/2 (/ (* (pow F 2) (+ 1/16 (* -1/8 (/ (- 1/8 (* 1/64 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (* (sin B) (sqrt 1/2)))) (* 1/2 (/ (- 1/8 (* 1/64 (/ 1 (pow (sqrt 1/2) 2)))) (* (sin B) (sqrt 1/2)))))) (* 1/8 (/ 1 (* (sin B) (sqrt 1/2)))))) (/ (sqrt 1/2) (sin B))))
(/ 1 (sin B))
(- (/ 1 (sin B)) (/ 1 (* (pow F 2) (sin B))))
(- (+ (/ 1 (sin B)) (/ 3/2 (* (pow F 4) (sin B)))) (/ 1 (* (pow F 2) (sin B))))
(- (+ (/ 1 (sin B)) (* 3/2 (/ 1 (* (pow F 4) (sin B))))) (+ (/ 1 (* (pow F 2) (sin B))) (* 5/2 (/ 1 (* (pow F 6) (sin B))))))
(/ -1 (sin B))
(- (/ 1 (* (pow F 2) (sin B))) (/ 1 (sin B)))
(- (/ 1 (* (pow F 2) (sin B))) (+ (/ 1 (sin B)) (/ 3/2 (* (pow F 4) (sin B)))))
(- (+ (/ 1 (* (pow F 2) (sin B))) (* 5/2 (/ 1 (* (pow F 6) (sin B))))) (+ (/ 1 (sin B)) (* 3/2 (/ 1 (* (pow F 4) (sin B))))))
(* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (pow F 2)))))) (* F (sqrt (/ 1 (+ 2 (pow F 2)))))) B)
(/ (+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* (pow B 2) (+ (* -1 (* (* (pow B 2) (+ (* -1/36 F) (* 1/120 F))) (sqrt (/ 1 (+ 2 (pow F 2)))))) (* 1/6 (* F (sqrt (/ 1 (+ 2 (pow F 2))))))))) B)
(/ (+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (pow F 2)))))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (pow F 2)))) (+ (* -1/36 F) (* 1/120 F)))) (* -1 (* (* (pow B 2) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F)))))) (sqrt (/ 1 (+ 2 (pow F 2))))))))))) B)
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))
(/ F (sin B))
(/ F (sin B))
(/ F (sin B))
(/ F (sin B))
(/ F (sin B))
(/ F (sin B))
(/ F (sin B))
(/ F (sin B))
(/ F (sin B))
(/ F (sin B))
(/ F (sin B))
(/ F (sin B))
(/ F B)
(/ (+ F (* 1/6 (* (pow B 2) F))) B)
(/ (+ F (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/36 F) (* 1/120 F)))) (* -1/6 F)))) B)
(/ (+ F (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/36 F) (* 1/120 F)))) (* -1/6 F)))) B)
(/ F (sin B))
(/ F (sin B))
(/ F (sin B))
(/ F (sin B))
(/ F (sin B))
(/ F (sin B))
(/ F (sin B))
(/ F (sin B))
(sqrt (+ 2 (* 2 x)))
(+ (sqrt (+ 2 (* 2 x))) (* 1/2 (* (pow F 2) (sqrt (/ 1 (+ 2 (* 2 x)))))))
(+ (sqrt (+ 2 (* 2 x))) (* (pow F 2) (+ (* -1/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 1/2 (sqrt (/ 1 (+ 2 (* 2 x))))))))
(+ (sqrt (+ 2 (* 2 x))) (* (pow F 2) (+ (* 1/2 (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 1/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))
F
(* F (+ 1 (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2)))))
(* F (+ 1 (+ (* -1/8 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))))))
(* F (+ 1 (+ (* -1/8 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 1/16 (/ (pow (+ 2 (* 2 x)) 3) (pow F 6))) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2)))))))
(* -1 F)
(* -1 (* F (+ 1 (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))))))
(* -1 (* F (+ 1 (+ (* -1/8 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2)))))))
(* -1 (* F (+ 1 (+ (* -1/8 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 1/16 (/ (pow (+ 2 (* 2 x)) 3) (pow F 6))) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))))))))
(sqrt (+ 2 (pow F 2)))
(+ (sqrt (+ 2 (pow F 2))) (* x (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (sqrt (+ 2 (pow F 2))) (* x (+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* -1/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))))))
(+ (sqrt (+ 2 (pow F 2))) (* x (+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* 1/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))))
(* (sqrt x) (sqrt 2))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 2)))) (* (sqrt (/ 1 x)) (sqrt 2))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 2)))) (* (sqrt (/ 1 x)) (sqrt 2)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow (+ 2 (pow F 2)) 3) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 2)))) (* (sqrt (/ 1 x)) (sqrt 2))))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1)))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 3)) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1))))))))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ x B)
(/ (+ x (* -1/3 (* (pow B 2) x))) B)
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
1/2
(+ 1/2 (* -1/4 (pow F 2)))
(+ 1/2 (* (pow F 2) (- (* 1/8 (pow F 2)) 1/4)))
(+ 1/2 (* (pow F 2) (- (* (pow F 2) (+ 1/8 (* -1/16 (pow F 2)))) 1/4)))
(/ 1 (pow F 2))
(/ (- 1 (* 2 (/ 1 (pow F 2)))) (pow F 2))
(/ (- (+ 1 (/ 4 (pow F 4))) (* 2 (/ 1 (pow F 2)))) (pow F 2))
(/ (- (+ 1 (/ 4 (pow F 4))) (+ (* 2 (/ 1 (pow F 2))) (* 8 (/ 1 (pow F 6))))) (pow F 2))
(/ 1 (pow F 2))
(/ (- 1 (* 2 (/ 1 (pow F 2)))) (pow F 2))
(/ (- (+ 1 (/ 4 (pow F 4))) (* 2 (/ 1 (pow F 2)))) (pow F 2))
(/ (- (+ 1 (/ 4 (pow F 4))) (+ (* 2 (/ 1 (pow F 2))) (* 8 (/ 1 (pow F 6))))) (pow F 2))
(/ 1 (+ 2 (pow F 2)))
(+ (* -2 (/ x (pow (+ 2 (pow F 2)) 2))) (/ 1 (+ 2 (pow F 2))))
(+ (* x (- (* 4 (/ x (pow (+ 2 (pow F 2)) 3))) (* 2 (/ 1 (pow (+ 2 (pow F 2)) 2))))) (/ 1 (+ 2 (pow F 2))))
(+ (* x (- (* x (+ (* -8 (/ x (pow (+ 2 (pow F 2)) 4))) (* 4 (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 2 (/ 1 (pow (+ 2 (pow F 2)) 2))))) (/ 1 (+ 2 (pow F 2))))
(/ 1/2 x)
(/ (+ 1/2 (* -1/4 (/ (+ 2 (pow F 2)) x))) x)
(/ (- (+ 1/2 (* 1/8 (/ (pow (+ 2 (pow F 2)) 2) (pow x 2)))) (* 1/4 (/ (+ 2 (pow F 2)) x))) x)
(/ (- (+ 1/2 (* -1/16 (/ (pow (+ 2 (pow F 2)) 3) (pow x 3)))) (+ (* -1/8 (/ (pow (+ 2 (pow F 2)) 2) (pow x 2))) (* 1/4 (/ (+ 2 (pow F 2)) x)))) x)
(/ 1/2 x)
(* -1 (/ (- (* 1/4 (/ (+ 2 (pow F 2)) x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (+ 2 (pow F 2)) 2) x)) (* 1/4 (+ 2 (pow F 2)))) x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow (+ 2 (pow F 2)) 3) x)) (* 1/8 (pow (+ 2 (pow F 2)) 2))) x)) (* 1/4 (+ 2 (pow F 2)))) x)) 1/2) x))
(/ 1 (+ 2 (* 2 x)))
(+ (* -1 (/ (pow F 2) (pow (+ 2 (* 2 x)) 2))) (/ 1 (+ 2 (* 2 x))))
(+ (* (pow F 2) (- (/ (pow F 2) (pow (+ 2 (* 2 x)) 3)) (/ 1 (pow (+ 2 (* 2 x)) 2)))) (/ 1 (+ 2 (* 2 x))))
(+ (* (pow F 2) (- (* (pow F 2) (+ (* -1 (/ (pow F 2) (pow (+ 2 (* 2 x)) 4))) (/ 1 (pow (+ 2 (* 2 x)) 3)))) (/ 1 (pow (+ 2 (* 2 x)) 2)))) (/ 1 (+ 2 (* 2 x))))
(/ 1 (pow F 2))
(/ (+ 1 (* -1 (/ (+ 2 (* 2 x)) (pow F 2)))) (pow F 2))
(/ (- (+ 1 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))) (pow F 2))
(/ (- (+ 1 (* -1 (/ (pow (+ 2 (* 2 x)) 3) (pow F 6)))) (+ (* -1 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2)))))) (pow F 2))
(/ 1 (pow F 2))
(/ (+ 1 (* -1 (/ (+ 2 (* 2 x)) (pow F 2)))) (pow F 2))
(/ (- (+ 1 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))) (pow F 2))
(/ (- (+ 1 (* -1 (/ (pow (+ 2 (* 2 x)) 3) (pow F 6)))) (+ (* -1 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2)))))) (pow F 2))
(/ (* F (sqrt 1/2)) B)
(+ (* -1/4 (/ (* F x) (* B (sqrt 1/2)))) (/ (* F (sqrt 1/2)) B))
(+ (* x (+ (* -1/4 (/ F (* B (sqrt 1/2)))) (* 1/2 (/ (* F (* x (- 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))))) (* B (sqrt 1/2)))))) (/ (* F (sqrt 1/2)) B))
(+ (* x (+ (* -1/4 (/ F (* B (sqrt 1/2)))) (* x (+ (* -1/2 (/ (* F (* x (+ 1/2 (* -1/4 (/ (- 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))))) (* B (sqrt 1/2)))) (* 1/2 (/ (* F (- 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2))))) (* B (sqrt 1/2)))))))) (/ (* F (sqrt 1/2)) B))
(* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 x)))
(+ (* -1/4 (* (/ F (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 x))))
(+ (* -1/4 (* (/ F (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/4 (* (/ F (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 x)))))
(+ (* -1/2 (* (/ (* F (+ 1/2 (* 1/16 (/ x (pow (sqrt 1/2) 2))))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/4 (* (/ F (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/4 (* (/ F (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 x))))))
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x)))
(+ (* -1/4 (* (/ (* F (sqrt -1)) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x))))
(+ (* -1/4 (* (/ (* F (sqrt -1)) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/4 (* (/ (* F (sqrt -1)) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x)))))
(+ (* -1 (/ (+ (* -1/4 (* (/ (* F (sqrt -1)) (* B (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ 1/2 (* -1/16 (/ x (pow (sqrt -1/2) 2)))))) (* B (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/4 (* (/ (* F (sqrt -1)) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x)))))
(* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x)))))
(* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x)))))
(* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x)))))
(* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x)))))
(* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x)))))
(* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x)))))
(* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x)))))
(* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x)))))
(* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x)))))
(* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x)))))
(* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x)))))
(* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x)))))
(* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x)))))
(* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x)))))
(* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x)))))
(* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x)))))
(* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x)))))
(* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x)))))
(* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x)))))
(* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x)))))
(* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x)))))
(* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x)))))
(* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x)))))
(* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x)))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/8 (/ (pow F 2) (sqrt 1/2))))
(+ (sqrt 1/2) (* (pow F 2) (- (* 1/2 (/ (* (pow F 2) (- 1/8 (* 1/64 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2))))))
(+ (sqrt 1/2) (* (pow F 2) (- (* (pow F 2) (+ (* -1/2 (/ (* (pow F 2) (+ 1/16 (* -1/8 (/ (- 1/8 (* 1/64 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/2 (/ (- 1/8 (* 1/64 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 1/8 (/ 1 (sqrt 1/2))))))
(/ 1 F)
(/ (- 1 (/ 1 (pow F 2))) F)
(/ (- (+ 1 (/ 3/2 (pow F 4))) (/ 1 (pow F 2))) F)
(/ (- (+ 1 (/ 3/2 (pow F 4))) (+ (/ 1 (pow F 2)) (* 5/2 (/ 1 (pow F 6))))) F)
(/ -1 F)
(* -1 (/ (- 1 (/ 1 (pow F 2))) F))
(* -1 (/ (- (+ 1 (/ 3/2 (pow F 4))) (/ 1 (pow F 2))) F))
(* -1 (/ (- (+ 1 (/ 3/2 (pow F 4))) (+ (/ 1 (pow F 2)) (* 5/2 (/ 1 (pow F 6))))) F))
1/2
(+ 1/2 (* -1/4 (pow F 2)))
(+ 1/2 (* (pow F 2) (- (* 1/8 (pow F 2)) 1/4)))
(+ 1/2 (* (pow F 2) (- (* (pow F 2) (+ 1/8 (* -1/16 (pow F 2)))) 1/4)))
(/ 1 (pow F 2))
(/ (- 1 (* 2 (/ 1 (pow F 2)))) (pow F 2))
(/ (- (+ 1 (/ 4 (pow F 4))) (* 2 (/ 1 (pow F 2)))) (pow F 2))
(/ (- (+ 1 (/ 4 (pow F 4))) (+ (* 2 (/ 1 (pow F 2))) (* 8 (/ 1 (pow F 6))))) (pow F 2))
(/ 1 (pow F 2))
(/ (- 1 (* 2 (/ 1 (pow F 2)))) (pow F 2))
(/ (- (+ 1 (/ 4 (pow F 4))) (* 2 (/ 1 (pow F 2)))) (pow F 2))
(/ (- (+ 1 (/ 4 (pow F 4))) (+ (* 2 (/ 1 (pow F 2))) (* 8 (/ 1 (pow F 6))))) (pow F 2))

Outputs
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B)))
(-.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (/.f64 (.f64 x (cos.f64 B)) (sin.f64 B)))
(- (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) (/ (* x (cos B)) (sin B)))
(fma.f64 F (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 F F) (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (sin.f64 B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))))
(- (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (/ (* x (cos B)) (sin B)))
(fma.f64 F (fma.f64 (.f64 F F) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (sin.f64 B)) (.f64 #s(literal 3/8 binary64) (.f64 (/.f64 (.f64 F F) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 5 binary64))))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (sin.f64 B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) (/ (* x (cos B)) (sin B)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (sin.f64 B) (.f64 F F))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)))
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) (/ (* x (cos B)) (sin B)))
(-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (sin.f64 B) (.f64 F F))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal -3/4 binary64)) (.f64 (sin.f64 B) (pow.f64 F #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) (/.f64 (.f64 x (cos.f64 B)) (sin.f64 B)))
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) (/ (* x (cos B)) (sin B)))
(-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (sin.f64 B) (.f64 F F))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal -3/4 binary64)) (.f64 (sin.f64 B) (pow.f64 F #s(literal 4 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal -3/4 binary64)) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (.f64 (sin.f64 B) (pow.f64 F #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))) (/.f64 (.f64 x (cos.f64 B)) (sin.f64 B)))
(* -1 (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B))))
(fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B)))
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B))))
(-.f64 (/.f64 (fma.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (sin.f64 B) (*.f64 F F))) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (sin.f64 B) (.f64 F F))) (/.f64 (.f64 (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal -3/4 binary64)) (*.f64 (sin.f64 B) (pow.f64 F #s(literal 4 binary64))))) (fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B))))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (.f64 (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal -3/4 binary64)) (.f64 (sin.f64 B) (pow.f64 F #s(literal 4 binary64)))) (/.f64 (fma.f64 (fma.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal -3/4 binary64)) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (.f64 (sin.f64 B) (pow.f64 F #s(literal 6 binary64))))) (/.f64 (fma.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (sin.f64 B) (.f64 F F)))) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (neg.f64 x)) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B)
(/.f64 (-.f64 (fma.f64 (.f64 B B) (fma.f64 (.f64 F #s(literal 1/6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (.f64 F F))))) (.f64 x #s(literal 1/3 binary64))) (.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (.f64 F F))))))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
(/.f64 (-.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (.f64 F F))))) (.f64 (.f64 B B) (fma.f64 (.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (.f64 F F)))))) #s(literal 1/6 binary64) (fma.f64 (.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (.f64 F F))))) (.f64 F #s(literal 7/360 binary64)) (.f64 x #s(literal 1/45 binary64))) (.f64 x #s(literal 1/3 binary64)))))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)
(/.f64 (-.f64 (fma.f64 (.f64 B B) (fma.f64 (.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (.f64 F F)))))) #s(literal 1/6 binary64) (fma.f64 (.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (.f64 F F))))) (.f64 F #s(literal 7/360 binary64)) (fma.f64 x #s(literal 1/45 binary64) (.f64 (.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (.f64 F F))))) (neg.f64 (fma.f64 F #s(literal -1/5040 binary64) (fma.f64 F #s(literal 1/720 binary64) (.f64 #s(literal 1/6 binary64) (.f64 F #s(literal -7/360 binary64)))))) (fma.f64 x #s(literal 1/105 binary64) (.f64 (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))))) (.f64 x #s(literal 1/3 binary64)))) (.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (.f64 F F))))))) x) B)
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (.f64 F F))))) (.f64 x (neg.f64 (cos.f64 B)))) (sin.f64 B))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (.f64 F F))))) (.f64 x (neg.f64 (cos.f64 B)))) (sin.f64 B))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (.f64 F F))))) (.f64 x (neg.f64 (cos.f64 B)))) (sin.f64 B))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (.f64 F F))))) (.f64 x (neg.f64 (cos.f64 B)))) (sin.f64 B))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (.f64 F F))))) (.f64 x (neg.f64 (cos.f64 B)))) (sin.f64 B))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (.f64 F F))))) (.f64 x (neg.f64 (cos.f64 B)))) (sin.f64 B))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (.f64 F F))))) (.f64 x (neg.f64 (cos.f64 B)))) (sin.f64 B))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (.f64 F F))))) (.f64 x (neg.f64 (cos.f64 B)))) (sin.f64 B))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))
(+ (* x (- (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(fma.f64 x (neg.f64 (fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 F F #s(literal 2 binary64)) (.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 (cos.f64 B) (sin.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(fma.f64 x (fma.f64 (/.f64 F (sin.f64 B)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 F F #s(literal 2 binary64)) (.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))))))) (fma.f64 #s(literal 3/2 binary64) (.f64 (/.f64 (.f64 x F) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 5 binary64))))) (neg.f64 (/.f64 (cos.f64 B) (sin.f64 B))))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -5/2 binary64) (.f64 (/.f64 (.f64 x F) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 7 binary64))))) (.f64 (.f64 #s(literal 3/2 binary64) (/.f64 F (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 5 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 F F #s(literal 2 binary64)) (.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))))) (neg.f64 (/.f64 F (sin.f64 B))))) (/.f64 (cos.f64 B) (sin.f64 B))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B))))
(.f64 x (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 (*.f64 F (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 B))) (/.f64 (cos.f64 B) (sin.f64 B))))
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B))))
(.f64 x (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 F (fma.f64 F F #s(literal 2 binary64))) (.f64 (sin.f64 B) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 (.f64 F (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 B))) (/.f64 (cos.f64 B) (sin.f64 B)))))
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) (/ (cos B) (sin B))))
(.f64 x (-.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 F (fma.f64 F F #s(literal 2 binary64))) (.f64 (sin.f64 B) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (.f64 F (.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (.f64 (sin.f64 B) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 (.f64 F (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 B))))) (/.f64 (cos.f64 B) (sin.f64 B))))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))) (/.f64 (cos.f64 B) (sin.f64 B))) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B)))))
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(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B)))))
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(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))
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(* (sin B) (sqrt (+ 2 (* 2 x))))
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B
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(+ (sqrt 1/2) (* -1/8 (/ (pow F 2) (sqrt 1/2))))
(fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 F F) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* (pow F 2) (- (* 1/2 (/ (* (pow F 2) (- 1/8 (* 1/64 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2))))))
(fma.f64 (.f64 F F) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (*.f64 F F) #s(literal 3/32 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* (pow F 2) (- (* (pow F 2) (+ (* -1/2 (/ (* (pow F 2) (+ 1/16 (* -1/8 (/ (- 1/8 (* 1/64 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/2 (/ (- 1/8 (* 1/64 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 1/8 (/ 1 (sqrt 1/2))))))
(fma.f64 (.f64 F F) (fma.f64 (.f64 F F) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 F F) #s(literal 5/128 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 3/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(/ 1 F)
(/.f64 #s(literal 1 binary64) F)
(/ (- 1 (/ 1 (pow F 2))) F)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F))) F)
(/ (- (+ 1 (/ 3/2 (pow F 4))) (/ 1 (pow F 2))) F)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 F #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 F F)))) F)
(/ (- (+ 1 (/ 3/2 (pow F 4))) (+ (/ 1 (pow F 2)) (* 5/2 (/ 1 (pow F 6))))) F)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) (pow.f64 F #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (/.f64 #s(literal 5/2 binary64) (pow.f64 F #s(literal 6 binary64))))) F)
(/ -1 F)
(/.f64 #s(literal -1 binary64) F)
(* -1 (/ (- 1 (/ 1 (pow F 2))) F))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F))) F))
(* -1 (/ (- (+ 1 (/ 3/2 (pow F 4))) (/ 1 (pow F 2))) F))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 F #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 F F)))) (neg.f64 F))
(* -1 (/ (- (+ 1 (/ 3/2 (pow F 4))) (+ (/ 1 (pow F 2)) (* 5/2 (/ 1 (pow F 6))))) F))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) (pow.f64 F #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (/.f64 #s(literal 5/2 binary64) (pow.f64 F #s(literal 6 binary64))))) (neg.f64 F))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (pow F 2)))
(fma.f64 (*.f64 F F) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow F 2) (- (* 1/8 (pow F 2)) 1/4)))
(fma.f64 (.f64 F F) (fma.f64 (.f64 F F) #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* (pow F 2) (- (* (pow F 2) (+ 1/8 (* -1/16 (pow F 2)))) 1/4)))
(fma.f64 (.f64 F F) (fma.f64 (.f64 F F) (fma.f64 (*.f64 F F) #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ (- 1 (* 2 (/ 1 (pow F 2)))) (pow F 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 F F))) (.f64 F F))
(/ (- (+ 1 (/ 4 (pow F 4))) (* 2 (/ 1 (pow F 2)))) (pow F 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 F #s(literal 4 binary64))) (/.f64 #s(literal -2 binary64) (.f64 F F)))) (.f64 F F))
(/ (- (+ 1 (/ 4 (pow F 4))) (+ (* 2 (/ 1 (pow F 2))) (* 8 (/ 1 (pow F 6))))) (pow F 2))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 F #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 F F)) (/.f64 #s(literal 8 binary64) (pow.f64 F #s(literal 6 binary64)))))) (.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ (- 1 (* 2 (/ 1 (pow F 2)))) (pow F 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 F F))) (.f64 F F))
(/ (- (+ 1 (/ 4 (pow F 4))) (* 2 (/ 1 (pow F 2)))) (pow F 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 F #s(literal 4 binary64))) (/.f64 #s(literal -2 binary64) (.f64 F F)))) (.f64 F F))
(/ (- (+ 1 (/ 4 (pow F 4))) (+ (* 2 (/ 1 (pow F 2))) (* 8 (/ 1 (pow F 6))))) (pow F 2))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 F #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 F F)) (/.f64 #s(literal 8 binary64) (pow.f64 F #s(literal 6 binary64)))))) (.f64 F F))

rewrite270.0ms (1.8%)

Memory

26.7MiB live, 380.6MiB allocated

Rules

4 000×	`lower-*.f32`
3 992×	`lower-*.f64`
3 850×	`lower-fma.f32`
3 838×	`lower-fma.f64`
3 180×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	81	494
0	115	466
1	482	444
2	3858	444
0	8250	444

Stop Event

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

Counts

26 → 474

Calls

Call 1

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

Outputs
(+.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 (neg.f64 x) (tan.f64 B)))
(+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(exp.f64 (.f64 (log.f64 (/.f64 (sin.f64 B) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (.f64 x (cos.f64 B))))) #s(literal -1 binary64)))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B)))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 x (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))))
(-.f64 (/.f64 (.f64 (.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))) (/.f64 (/.f64 (/.f64 (.f64 F F) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))))
(-.f64 (/.f64 (.f64 F (tan.f64 B)) (.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (.f64 (sin.f64 B) (tan.f64 B)))) (/.f64 (.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (.f64 (sin.f64 B) x)) (.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (*.f64 (sin.f64 B) (tan.f64 B)))))
(-.f64 (/.f64 (pow.f64 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) #s(literal 3 binary64)) (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (/.f64 (/.f64 (.f64 F F) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))))) (/.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)) (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (/.f64 (/.f64 (.f64 F F) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))))))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 F F) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))) (+.f64 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B)))) (/.f64 (.f64 (.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (+.f64 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B)))))
(-.f64 (+.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) #s(literal 0 binary64)) (/.f64 x (tan.f64 B)))
(fma.f64 F (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 x (/.f64 #s(literal -1 binary64) (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(fma.f64 (/.f64 x (tan.f64 B)) #s(literal -1 binary64) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(fma.f64 #s(literal 1 binary64) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(fma.f64 #s(literal -1 binary64) (/.f64 x (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(fma.f64 (.f64 x (cos.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 F (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (neg.f64 F) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (neg.f64 (sin.f64 B)))) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (.f64 (cos.f64 B) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) F (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (pow.f64 (/.f64 #s(literal 1 binary64) F) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (pow.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -1/4 binary64)) (/.f64 F (sin.f64 B))) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(fma.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(fma.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -1/4 binary64)) (/.f64 (neg.f64 x) (tan.f64 B)))
(neg.f64 (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (*.f64 x (cos.f64 B))) (neg.f64 (sin.f64 B))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (*.f64 x (cos.f64 B)))) (sin.f64 B)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (*.f64 x (cos.f64 B)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (-.f64 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 (neg.f64 x) (tan.f64 B))) (.f64 (.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)))) (+.f64 (pow.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))) (/.f64 (.f64 F F) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))))))
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(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (.f64 x (cos.f64 B)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) #s(literal -1 binary64)))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
#s(approx (/ 1 (+ (* F F) 2)) (fma.f64 F (*.f64 F #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (fma.f64 (log.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 F (.f64 F #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64) (.f64 (log.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 F (*.f64 F #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))))
(sqrt.f64 (.f64 #s(approx (/ 1 (+ ( x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 F (.f64 F #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) #s(approx (/ 1 (+ ( x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 F (*.f64 F #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))))
#s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 F (*.f64 F #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
(pow.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 F (*.f64 F #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 F (*.f64 F #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(pow.f64 (.f64 #s(approx (/ 1 (+ ( x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 F (.f64 F #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) #s(approx (/ 1 (+ ( x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 F (*.f64 F #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 #s(approx (/ 1 (+ ( x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 F (.f64 F #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))) (sqrt.f64 #s(approx (/ 1 (+ ( x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 F (*.f64 F #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (/.f64 B F)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 B F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 B (/.f64 (*.f64 #s(literal 1 binary64) F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 B F))
(/.f64 (/.f64 F B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 #s(literal 1 binary64) F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) B)
(/.f64 (.f64 F #s(literal 1 binary64)) (.f64 B (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(/.f64 (.f64 (neg.f64 F) #s(literal 1 binary64)) (.f64 (neg.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) F) (.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) B))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 F)) (.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (neg.f64 B)))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1 binary64) F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 B))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (neg.f64 F)) (neg.f64 B))
(/.f64 (*.f64 (/.f64 F B) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 B))
(pow.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (/.f64 B F)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 B F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 B (/.f64 (*.f64 #s(literal 1 binary64) F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) #s(literal -1 binary64))
(.f64 F (.f64 (/.f64 #s(literal 1 binary64) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F B))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(.f64 (/.f64 (.f64 #s(literal 1 binary64) F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) B))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 F F #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))) #s(literal -1 binary64)))
(fabs.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 (fma.f64 F F #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (fma.f64 F F #s(literal 2 binary64)))))
(pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) #s(literal 1/4 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 F F #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 F F #s(literal 2 binary64))))))
(*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/4 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 F (.f64 F F)) (.f64 F (.f64 F F)) #s(literal 8 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 F (.f64 F (.f64 F F)) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (*.f64 F F)))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (fma.f64 F (.f64 F (*.f64 F F)) #s(literal -4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 F (.f64 F F)) (.f64 F (.f64 F F)) #s(literal 8 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (fma.f64 F (.f64 F (.f64 F F)) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (*.f64 F F)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F (.f64 F (*.f64 F F)) #s(literal -4 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 F F #s(literal -2 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 F (.f64 F F)) (.f64 F (.f64 F F)) #s(literal 8 binary64)))) (sqrt.f64 (-.f64 (fma.f64 F (.f64 F (.f64 F F)) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (*.f64 F F)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F (.f64 F (*.f64 F F)) #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 F F #s(literal -2 binary64))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 F F #s(literal 2 binary64)))))
(exp.f64 (fma.f64 (neg.f64 (log.f64 (fma.f64 F F #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (log.f64 (fma.f64 F F #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 F F #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 F F #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 F F #s(literal 2 binary64))))
(pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))) #s(literal -2 binary64))
(pow.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (neg.f64 (fma.f64 F F #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 F F #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 F (.f64 F F)) (.f64 F (.f64 F F)) #s(literal 8 binary64))) (-.f64 (fma.f64 F (.f64 F (.f64 F F)) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (*.f64 F F))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 F (.f64 F F)) (.f64 F (.f64 F F)) #s(literal 8 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 F (.f64 F (.f64 F F)) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (*.f64 F F)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F (.f64 F (*.f64 F F)) #s(literal -4 binary64))) (fma.f64 F F #s(literal -2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F (.f64 F (*.f64 F F)) #s(literal -4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal -2 binary64))) #s(literal -1 binary64)))

eval182.0ms (1.2%)

Memory: 17.5MiB live, 199.0MiB allocated
Compiler: Compiled 34 361 to 2 933 computations (91.5% saved)

prune314.0ms (2%)

Memory

-15.8MiB live, 436.4MiB allocated

Pruning

66 alts after pruning (60 fresh and 6 done)

	Pruned	Kept	Total
New	1 131	25	1 156
Fresh	14	35	49
Picked	3	2	5
Done	0	4	4
Total	1 148	66	1 214

Accuracy

100.0%

Counts

1 214 → 66

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.7%	(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) #s(literal 1 binary64)) (*.f64 x (cos.f64 B))) (sin.f64 B))
	58.6%	(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) #s(literal -1 binary64)) (*.f64 x (cos.f64 B))) (sin.f64 B))
	54.7%	(/.f64 #s(approx (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (*.f64 x (neg.f64 (cos.f64 B)))) (sin.f64 B))
	56.0%	(-.f64 (/.f64 F (.f64 (sin.f64 B) #s(approx (sqrt (+ ( F F) (+ (* 2 x) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B)))
	56.8%	(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* F F) (+ (* 2 x) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B)))
	56.2%	(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
	28.4%	#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))
	29.7%	#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (/.f64 (.f64 F #s(literal 1 binary64)) (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))))
	19.9%	#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 #s(approx (/ 1 (+ ( F F) 2)) #s(literal 1/2 binary64)))))
	15.1%	#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (.f64 (/.f64 F (sin.f64 B)) #s(approx (sqrt (/ 1 (+ ( F F) 2))) (/.f64 #s(literal 1 binary64) F))))
	14.6%	#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (.f64 (/.f64 F (sin.f64 B)) #s(approx (sqrt (/ 1 (+ ( F F) 2))) (/.f64 #s(literal -1 binary64) F))))
	14.6%	#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (.f64 #s(approx (/ F (sin B)) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (fma.f64 (fma.f64 F #s(literal -1/5040 binary64) (fma.f64 F #s(literal 1/720 binary64) (.f64 #s(literal 1/6 binary64) (.f64 F #s(literal -7/360 binary64))))) (neg.f64 (.f64 B B)) (.f64 F #s(literal 7/360 binary64))) (.f64 F #s(literal 1/6 binary64))) F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
	14.6%	#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (.f64 #s(approx (/ F (sin B)) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (.f64 F #s(literal 7/360 binary64)) (*.f64 F #s(literal 1/6 binary64))) F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
	15.5%	#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (*.f64 #s(approx (/ F (sin B)) (/.f64 F B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
	19.9%	#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* F F) 2)))) (/.f64 (*.f64 F (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 B))))
	15.6%	#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
	44.1%	#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (.f64 F (.f64 B B)) F) (.f64 (.f64 B B) (*.f64 x #s(literal 1/3 binary64)))) x) B))
	23.4%	#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)))) (+.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B)))))
	54.7%	#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (neg.f64 x) (tan.f64 B)))
	54.6%	#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)))
	54.7%	#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (/.f64 x (neg.f64 (sin.f64 B))) (cos.f64 B)))
	54.6%	#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x))
	54.6%	#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (.f64 (.f64 x (cos.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
	29.5%	#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (*.f64 B B) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) B))))
	29.7%	#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (.f64 B B) #s(literal -1/3 binary64) #s(literal 1 binary64)) B))))
	30.1%	#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 #s(literal 1 binary64) B))))
	29.6%	#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (-.f64 (.f64 x #s(literal 1/24 binary64)) (fma.f64 x #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x #s(literal -1/3 binary64))))) (neg.f64 (.f64 B B)) (.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) B)))
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✓	12.2%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))

Compiler

Compiled 3 564 to 1 137 computations (68.1% saved)

regimes174.0ms (1.1%)

Memory

21.4MiB live, 251.5MiB allocated

Counts

134 → 3

Calls

Call 1

Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 #s(literal 1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal -1/6 binary64) #s(literal -1 binary64)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) #s(approx (- (* (sqrt (/ 1 (+ (* x 2) 2))) (/ F B)) (/ x B)) (/.f64 (*.f64 F (sqrt.f64 #s(literal 1/2 binary64))) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (fma.f64 (.f64 B #s(literal -1/6 binary64)) (.f64 B B) B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) (neg.f64 x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (-.f64 (.f64 (.f64 x (*.f64 B B)) #s(literal 1/3 binary64)) x) B)))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (.f64 B B) #s(literal -1/3 binary64) #s(literal 1 binary64)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal -1/6 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (-.f64 #s(literal -1 binary64) x)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 (-.f64 (fma.f64 (.f64 B B) (+.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) x) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( x 2) 2)) #s(literal 1/2 binary64))) (/.f64 F B)) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (*.f64 F F) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) (neg.f64 x)) B))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 F (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) B))) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 F (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B))) (/.f64 x B))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (/.f64 (.f64 F #s(literal 1 binary64)) (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (.f64 x (fma.f64 #s(literal 1/3 binary64) (.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B))))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
(/.f64 #s(approx (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (sin.f64 B))
(/.f64 #s(approx (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x))) (sin.f64 B))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (fma.f64 (.f64 B (.f64 B B)) (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B)))))
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) #s(approx (* x (cos B)) (fma.f64 #s(literal -1/2 binary64) (.f64 x (.f64 B B)) x))) (sin.f64 B))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (/.f64 F B))))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (.f64 (*.f64 B B) F) F)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (/.f64 x (neg.f64 (sin.f64 B))) (cos.f64 B)))
(/.f64 #s(approx (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (*.f64 x (neg.f64 (cos.f64 B)))) (sin.f64 B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) #s(literal -1 binary64)) (*.f64 x (cos.f64 B))) (sin.f64 B))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) #s(literal 1 binary64)) (*.f64 x (cos.f64 B))) (sin.f64 B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (.f64 (.f64 x (cos.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (-.f64 #s(literal -1 binary64) (.f64 x (cos.f64 B)))))
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* F F) (+ (* 2 x) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 F (sin.f64 B)))) F (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 F (sin.f64 B)))) F (/.f64 (neg.f64 x) (tan.f64 B)))
(-.f64 (/.f64 F (.f64 (sin.f64 B) #s(approx (sqrt (+ ( F F) (+ (* 2 x) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B)))
(/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* F F) (+ (* 2 x) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (*.f64 x (cos.f64 B))) (sin.f64 B))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal -1 binary64) F))))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B)))
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (*.f64 x (cos.f64 B))) (sin.f64 B))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) F (/.f64 (neg.f64 x) (tan.f64 B)))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B)))))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))))
(fma.f64 (/.f64 x (neg.f64 (sin.f64 B))) (cos.f64 B) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)))) (+.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B)))))
(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 B) F)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) F)) (/.f64 (neg.f64 x) (tan.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 B) F) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))))
(+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) (.f64 (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 F F (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
(fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (.f64 (cos.f64 B) (neg.f64 x)) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 B))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 x (neg.f64 (fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 F F #s(literal 2 binary64)) (.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 (cos.f64 B) (sin.f64 B)))) (*.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B)))))

Outputs

#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)))

(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (*.f64 x (cos.f64 B))) (sin.f64 B))

(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* F F) (+ (* 2 x) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B)))

Calls

4 calls:

48.0ms	(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
42.0ms	B
39.0ms	x
36.0ms	F

Results

Accuracy	Segments	Branch
99.8%	3	`F`
84.0%	1	`B`
84.0%	1	`x`
87.7%	2	`(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))`

Compiler

Compiled 42 to 29 computations (31% saved)

regimes44.0ms (0.3%)

Memory

-13.3MiB live, 68.0MiB allocated

Counts

111 → 3

Calls

Call 1

Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 #s(literal 1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal -1/6 binary64) #s(literal -1 binary64)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) #s(approx (- (* (sqrt (/ 1 (+ (* x 2) 2))) (/ F B)) (/ x B)) (/.f64 (*.f64 F (sqrt.f64 #s(literal 1/2 binary64))) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (fma.f64 (.f64 B #s(literal -1/6 binary64)) (.f64 B B) B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) (neg.f64 x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (-.f64 (.f64 (.f64 x (*.f64 B B)) #s(literal 1/3 binary64)) x) B)))
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#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) #s(approx (/ (* x (cos B)) (sin B)) (/.f64 x B))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* F F) 2)))) (/.f64 (*.f64 F (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 B))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 #s(approx (/ 1 (+ ( F F) 2)) #s(literal 1/2 binary64)))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (.f64 (/.f64 F (sin.f64 B)) #s(approx (sqrt (/ 1 (+ ( F F) 2))) (/.f64 #s(literal -1 binary64) F))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (.f64 (/.f64 F (sin.f64 B)) #s(approx (sqrt (/ 1 (+ ( F F) 2))) (/.f64 #s(literal 1 binary64) F))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (fma.f64 (.f64 F F) (+.f64 (/.f64 (.f64 F F) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 F (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) B))) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 F (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B))) (/.f64 x B))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (/.f64 (.f64 F #s(literal 1 binary64)) (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (.f64 x (fma.f64 #s(literal 1/3 binary64) (.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B))))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
(/.f64 #s(approx (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (sin.f64 B))
(/.f64 #s(approx (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x))) (sin.f64 B))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (fma.f64 (.f64 B (.f64 B B)) (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B)))))
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) #s(approx (* x (cos B)) (fma.f64 #s(literal -1/2 binary64) (.f64 x (.f64 B B)) x))) (sin.f64 B))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (/.f64 F B))))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (.f64 (*.f64 B B) F) F)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (/.f64 x (neg.f64 (sin.f64 B))) (cos.f64 B)))
(/.f64 #s(approx (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (*.f64 x (neg.f64 (cos.f64 B)))) (sin.f64 B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) #s(literal -1 binary64)) (*.f64 x (cos.f64 B))) (sin.f64 B))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) #s(literal 1 binary64)) (*.f64 x (cos.f64 B))) (sin.f64 B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (.f64 (.f64 x (cos.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (-.f64 #s(literal -1 binary64) (.f64 x (cos.f64 B)))))
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* F F) (+ (* 2 x) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 F (sin.f64 B)))) F (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 F (sin.f64 B)))) F (/.f64 (neg.f64 x) (tan.f64 B)))
(-.f64 (/.f64 F (.f64 (sin.f64 B) #s(approx (sqrt (+ ( F F) (+ (* 2 x) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B)))
(/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* F F) (+ (* 2 x) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (*.f64 x (cos.f64 B))) (sin.f64 B))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal -1 binary64) F))))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B)))

Outputs

#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)))

(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B)))

(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* F F) (+ (* 2 x) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B)))

Calls

1 calls:

36.0ms

Results

Accuracy	Segments	Branch
99.7%	3	`F`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes40.0ms (0.3%)

Memory

-12.2MiB live, 62.6MiB allocated

Counts

110 → 3

Calls

Call 1

Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 #s(literal 1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal -1/6 binary64) #s(literal -1 binary64)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) #s(approx (- (* (sqrt (/ 1 (+ (* x 2) 2))) (/ F B)) (/ x B)) (/.f64 (*.f64 F (sqrt.f64 #s(literal 1/2 binary64))) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (fma.f64 (.f64 B #s(literal -1/6 binary64)) (.f64 B B) B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) (neg.f64 x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (-.f64 (.f64 (.f64 x (*.f64 B B)) #s(literal 1/3 binary64)) x) B)))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (.f64 B B) #s(literal -1/3 binary64) #s(literal 1 binary64)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal -1/6 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (-.f64 #s(literal -1 binary64) x)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 (-.f64 (fma.f64 (.f64 B B) (+.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) x) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( x 2) 2)) #s(literal 1/2 binary64))) (/.f64 F B)) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (*.f64 F F) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (*.f64 B B) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (*.f64 #s(approx (/ F (sin B)) (/.f64 F B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
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(/.f64 #s(approx (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x))) (sin.f64 B))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (fma.f64 (.f64 B (.f64 B B)) (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B)))))
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) #s(approx (* x (cos B)) (fma.f64 #s(literal -1/2 binary64) (.f64 x (.f64 B B)) x))) (sin.f64 B))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (/.f64 F B))))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (.f64 (*.f64 B B) F) F)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (/.f64 x (neg.f64 (sin.f64 B))) (cos.f64 B)))
(/.f64 #s(approx (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (*.f64 x (neg.f64 (cos.f64 B)))) (sin.f64 B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) #s(literal -1 binary64)) (*.f64 x (cos.f64 B))) (sin.f64 B))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) #s(literal 1 binary64)) (*.f64 x (cos.f64 B))) (sin.f64 B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (.f64 (.f64 x (cos.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (-.f64 #s(literal -1 binary64) (.f64 x (cos.f64 B)))))
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* F F) (+ (* 2 x) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 F (sin.f64 B)))) F (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 F (sin.f64 B)))) F (/.f64 (neg.f64 x) (tan.f64 B)))
(-.f64 (/.f64 F (.f64 (sin.f64 B) #s(approx (sqrt (+ ( F F) (+ (* 2 x) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B)))
(/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* F F) (+ (* 2 x) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (*.f64 x (cos.f64 B))) (sin.f64 B))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal -1 binary64) F))))

Outputs

#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)))

(/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* F F) (+ (* 2 x) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (*.f64 x (cos.f64 B))) (sin.f64 B))

(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* F F) (+ (* 2 x) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B)))

Calls

1 calls:

31.0ms

Results

Accuracy	Segments	Branch
99.2%	3	`F`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes64.0ms (0.4%)

Memory

-9.2MiB live, 51.9MiB allocated

Counts

108 → 3

Calls

Call 1

Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 #s(literal 1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal -1/6 binary64) #s(literal -1 binary64)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) #s(approx (- (* (sqrt (/ 1 (+ (* x 2) 2))) (/ F B)) (/ x B)) (/.f64 (*.f64 F (sqrt.f64 #s(literal 1/2 binary64))) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (fma.f64 (.f64 B #s(literal -1/6 binary64)) (.f64 B B) B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) (neg.f64 x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (-.f64 (.f64 (.f64 x (*.f64 B B)) #s(literal 1/3 binary64)) x) B)))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (.f64 B B) #s(literal -1/3 binary64) #s(literal 1 binary64)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal -1/6 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (-.f64 #s(literal -1 binary64) x)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 (-.f64 (fma.f64 (.f64 B B) (+.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) x) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( x 2) 2)) #s(literal 1/2 binary64))) (/.f64 F B)) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (*.f64 F F) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (*.f64 B B) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (*.f64 #s(approx (/ F (sin B)) (/.f64 F B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ ( x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 F (*.f64 F #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( x 2) 2)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 F B)) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1 binary64) F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) x) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 B (.f64 F F))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 B (.f64 F F))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 B (.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 B (.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( x 2) 2)) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 F B)) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (/.f64 (.f64 F #s(literal 1 binary64)) (.f64 B (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ ( x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 F (*.f64 F #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))) (neg.f64 x)))))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( x 2) 2)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))) (/.f64 F B)) (/.f64 x B))))
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#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (neg.f64 x) (tan.f64 B)))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) #s(approx (/ (* x (cos B)) (sin B)) (/.f64 x B))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* F F) 2)))) (/.f64 (*.f64 F (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 B))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 #s(approx (/ 1 (+ ( F F) 2)) #s(literal 1/2 binary64)))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (.f64 (/.f64 F (sin.f64 B)) #s(approx (sqrt (/ 1 (+ ( F F) 2))) (/.f64 #s(literal -1 binary64) F))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (.f64 (/.f64 F (sin.f64 B)) #s(approx (sqrt (/ 1 (+ ( F F) 2))) (/.f64 #s(literal 1 binary64) F))))
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(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 F (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) B))) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 F (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B))) (/.f64 x B))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (/.f64 (.f64 F #s(literal 1 binary64)) (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B))))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
(/.f64 #s(approx (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (sin.f64 B))
(/.f64 #s(approx (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x))) (sin.f64 B))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (fma.f64 (.f64 B (.f64 B B)) (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B)))))
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) #s(approx (* x (cos B)) (fma.f64 #s(literal -1/2 binary64) (.f64 x (.f64 B B)) x))) (sin.f64 B))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (/.f64 F B))))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (.f64 (*.f64 B B) F) F)) B)))
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#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (/.f64 x (neg.f64 (sin.f64 B))) (cos.f64 B)))
(/.f64 #s(approx (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (*.f64 x (neg.f64 (cos.f64 B)))) (sin.f64 B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) #s(literal -1 binary64)) (*.f64 x (cos.f64 B))) (sin.f64 B))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) #s(literal 1 binary64)) (*.f64 x (cos.f64 B))) (sin.f64 B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (.f64 (.f64 x (cos.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (-.f64 #s(literal -1 binary64) (.f64 x (cos.f64 B)))))
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* F F) (+ (* 2 x) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B)))
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(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 F (sin.f64 B)))) F (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 F (sin.f64 B)))) F (/.f64 (neg.f64 x) (tan.f64 B)))
(-.f64 (/.f64 F (.f64 (sin.f64 B) #s(approx (sqrt (+ ( F F) (+ (* 2 x) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B)))

Outputs

#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)))

(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* F F) (+ (* 2 x) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B)))

(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* F F) (+ (* 2 x) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B)))

Calls

1 calls:

57.0ms

Results

Accuracy	Segments	Branch
99.1%	3	`F`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes36.0ms (0.2%)

Memory

22.0MiB live, 59.3MiB allocated

Counts

107 → 3

Calls

Call 1

Inputs
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#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 #s(literal 1 binary64) B))))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) x) (fma.f64 (.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (.f64 x (neg.f64 x))))) B))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (.f64 #s(approx (/ F (sin B)) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (fma.f64 (fma.f64 F #s(literal -1/5040 binary64) (fma.f64 F #s(literal 1/720 binary64) (.f64 #s(literal 1/6 binary64) (.f64 F #s(literal -7/360 binary64))))) (neg.f64 (.f64 B B)) (.f64 F #s(literal 7/360 binary64))) (.f64 F #s(literal 1/6 binary64))) F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (neg.f64 x)) B))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (neg.f64 x) (tan.f64 B)))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) #s(approx (/ (* x (cos B)) (sin B)) (/.f64 x B))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* F F) 2)))) (/.f64 (*.f64 F (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 B))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 #s(approx (/ 1 (+ ( F F) 2)) #s(literal 1/2 binary64)))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (.f64 (/.f64 F (sin.f64 B)) #s(approx (sqrt (/ 1 (+ ( F F) 2))) (/.f64 #s(literal -1 binary64) F))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (.f64 (/.f64 F (sin.f64 B)) #s(approx (sqrt (/ 1 (+ ( F F) 2))) (/.f64 #s(literal 1 binary64) F))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (fma.f64 (.f64 F F) (+.f64 (/.f64 (.f64 F F) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 F (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) B))) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 F (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B))) (/.f64 x B))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (/.f64 (.f64 F #s(literal 1 binary64)) (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (.f64 x (fma.f64 #s(literal 1/3 binary64) (.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B))))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
(/.f64 #s(approx (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (sin.f64 B))
(/.f64 #s(approx (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x))) (sin.f64 B))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (fma.f64 (.f64 B (.f64 B B)) (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B)))))
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) #s(approx (* x (cos B)) (fma.f64 #s(literal -1/2 binary64) (.f64 x (.f64 B B)) x))) (sin.f64 B))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (/.f64 F B))))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (.f64 (*.f64 B B) F) F)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (/.f64 x (neg.f64 (sin.f64 B))) (cos.f64 B)))
(/.f64 #s(approx (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (*.f64 x (neg.f64 (cos.f64 B)))) (sin.f64 B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) #s(literal -1 binary64)) (*.f64 x (cos.f64 B))) (sin.f64 B))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) #s(literal 1 binary64)) (*.f64 x (cos.f64 B))) (sin.f64 B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (.f64 (.f64 x (cos.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (-.f64 #s(literal -1 binary64) (.f64 x (cos.f64 B)))))
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* F F) (+ (* 2 x) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 F (sin.f64 B)))) F (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 F (sin.f64 B)))) F (/.f64 (neg.f64 x) (tan.f64 B)))

Outputs

#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)))

(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))

(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* F F) (+ (* 2 x) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B)))

Calls

1 calls:

29.0ms

Results

Accuracy	Segments	Branch
91.3%	3	`F`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes38.0ms (0.2%)

Memory

-17.3MiB live, 57.9MiB allocated

Counts

102 → 3

Calls

Call 1

Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 #s(literal 1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal -1/6 binary64) #s(literal -1 binary64)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) #s(approx (- (* (sqrt (/ 1 (+ (* x 2) 2))) (/ F B)) (/ x B)) (/.f64 (*.f64 F (sqrt.f64 #s(literal 1/2 binary64))) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (fma.f64 (.f64 B #s(literal -1/6 binary64)) (.f64 B B) B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) (neg.f64 x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (-.f64 (.f64 (.f64 x (*.f64 B B)) #s(literal 1/3 binary64)) x) B)))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (.f64 B B) #s(literal -1/3 binary64) #s(literal 1 binary64)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal -1/6 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (-.f64 #s(literal -1 binary64) x)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 (-.f64 (fma.f64 (.f64 B B) (+.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) x) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( x 2) 2)) #s(literal 1/2 binary64))) (/.f64 F B)) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (*.f64 F F) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 F (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) B))) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 F (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B))) (/.f64 x B))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (/.f64 (.f64 F #s(literal 1 binary64)) (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (.f64 x (fma.f64 #s(literal 1/3 binary64) (.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B))))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
(/.f64 #s(approx (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (sin.f64 B))
(/.f64 #s(approx (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x))) (sin.f64 B))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (fma.f64 (.f64 B (.f64 B B)) (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B)))))
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) #s(approx (* x (cos B)) (fma.f64 #s(literal -1/2 binary64) (.f64 x (.f64 B B)) x))) (sin.f64 B))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (/.f64 F B))))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (.f64 (*.f64 B B) F) F)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (/.f64 x (neg.f64 (sin.f64 B))) (cos.f64 B)))
(/.f64 #s(approx (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (*.f64 x (neg.f64 (cos.f64 B)))) (sin.f64 B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) #s(literal -1 binary64)) (*.f64 x (cos.f64 B))) (sin.f64 B))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) #s(literal 1 binary64)) (*.f64 x (cos.f64 B))) (sin.f64 B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (.f64 (.f64 x (cos.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (-.f64 #s(literal -1 binary64) (.f64 x (cos.f64 B)))))

Outputs

#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)))

(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))

(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) #s(literal 1 binary64)) (*.f64 x (cos.f64 B))) (sin.f64 B))

Calls

1 calls:

31.0ms

Results

Accuracy	Segments	Branch
91.3%	3	`F`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes128.0ms (0.8%)

Memory

13.2MiB live, 208.2MiB allocated

Counts

99 → 3

Calls

Call 1

Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 #s(literal 1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal -1/6 binary64) #s(literal -1 binary64)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) #s(approx (- (* (sqrt (/ 1 (+ (* x 2) 2))) (/ F B)) (/ x B)) (/.f64 (*.f64 F (sqrt.f64 #s(literal 1/2 binary64))) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (fma.f64 (.f64 B #s(literal -1/6 binary64)) (.f64 B B) B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) (neg.f64 x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (-.f64 (.f64 (.f64 x (*.f64 B B)) #s(literal 1/3 binary64)) x) B)))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (.f64 B B) #s(literal -1/3 binary64) #s(literal 1 binary64)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal -1/6 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (-.f64 #s(literal -1 binary64) x)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 (-.f64 (fma.f64 (.f64 B B) (+.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) x) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( x 2) 2)) #s(literal 1/2 binary64))) (/.f64 F B)) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (*.f64 F F) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (*.f64 B B) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (*.f64 #s(approx (/ F (sin B)) (/.f64 F B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ ( x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 F (*.f64 F #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( x 2) 2)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 F B)) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1 binary64) F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) x) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 B (.f64 F F))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 B (.f64 F F))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 B (.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 B (.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( x 2) 2)) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 F B)) (/.f64 x B))))
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#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (.f64 #s(approx (/ F (sin B)) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (fma.f64 (fma.f64 F #s(literal -1/5040 binary64) (fma.f64 F #s(literal 1/720 binary64) (.f64 #s(literal 1/6 binary64) (.f64 F #s(literal -7/360 binary64))))) (neg.f64 (.f64 B B)) (.f64 F #s(literal 7/360 binary64))) (.f64 F #s(literal 1/6 binary64))) F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (neg.f64 x)) B))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (neg.f64 x) (tan.f64 B)))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) #s(approx (/ (* x (cos B)) (sin B)) (/.f64 x B))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* F F) 2)))) (/.f64 (*.f64 F (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 B))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 #s(approx (/ 1 (+ ( F F) 2)) #s(literal 1/2 binary64)))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (.f64 (/.f64 F (sin.f64 B)) #s(approx (sqrt (/ 1 (+ ( F F) 2))) (/.f64 #s(literal -1 binary64) F))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (.f64 (/.f64 F (sin.f64 B)) #s(approx (sqrt (/ 1 (+ ( F F) 2))) (/.f64 #s(literal 1 binary64) F))))
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(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 F (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) B))) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 F (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B))) (/.f64 x B))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (/.f64 (.f64 F #s(literal 1 binary64)) (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (.f64 x (fma.f64 #s(literal 1/3 binary64) (.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B))))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
(/.f64 #s(approx (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (sin.f64 B))
(/.f64 #s(approx (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x))) (sin.f64 B))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (fma.f64 (.f64 B (.f64 B B)) (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B)))))
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) #s(approx (* x (cos B)) (fma.f64 #s(literal -1/2 binary64) (.f64 x (.f64 B B)) x))) (sin.f64 B))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (/.f64 F B))))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (.f64 (*.f64 B B) F) F)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (/.f64 x (neg.f64 (sin.f64 B))) (cos.f64 B)))
(/.f64 #s(approx (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (*.f64 x (neg.f64 (cos.f64 B)))) (sin.f64 B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) #s(literal -1 binary64)) (*.f64 x (cos.f64 B))) (sin.f64 B))

Outputs

#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)))

(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))

#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))

Calls

4 calls:

32.0ms	F
31.0ms	x
31.0ms	B
28.0ms	(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))

Results

Accuracy	Segments	Branch
80.4%	3	`x`
73.2%	3	`B`
81.7%	4	`(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))`
83.9%	3	`F`

Compiler

Compiled 42 to 29 computations (31% saved)

regimes104.0ms (0.7%)

Memory

5.0MiB live, 115.9MiB allocated

Counts

97 → 3

Calls

Call 1

Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 #s(literal 1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal -1/6 binary64) #s(literal -1 binary64)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) #s(approx (- (* (sqrt (/ 1 (+ (* x 2) 2))) (/ F B)) (/ x B)) (/.f64 (*.f64 F (sqrt.f64 #s(literal 1/2 binary64))) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (fma.f64 (.f64 B #s(literal -1/6 binary64)) (.f64 B B) B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) (neg.f64 x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (-.f64 (.f64 (.f64 x (*.f64 B B)) #s(literal 1/3 binary64)) x) B)))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (.f64 B B) #s(literal -1/3 binary64) #s(literal 1 binary64)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal -1/6 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (-.f64 #s(literal -1 binary64) x)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 (-.f64 (fma.f64 (.f64 B B) (+.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) x) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( x 2) 2)) #s(literal 1/2 binary64))) (/.f64 F B)) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (*.f64 F F) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (*.f64 B B) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (*.f64 #s(approx (/ F (sin B)) (/.f64 F B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ ( x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 F (*.f64 F #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( x 2) 2)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 F B)) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1 binary64) F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) x) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 B (.f64 F F))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 B (.f64 F F))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 B (.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 B (.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( x 2) 2)) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 F B)) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (/.f64 (.f64 F #s(literal 1 binary64)) (.f64 B (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ ( x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 F (*.f64 F #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (.f64 F F) (fma.f64 (.f64 F F) #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( x 2) 2)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))) (/.f64 F B)) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F B)) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 F B)) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1 binary64) F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) B) (.f64 B x)) (.f64 B B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 F (*.f64 (/.f64 #s(literal 1 binary64) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 (neg.f64 x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 (sqrt.f64 (.f64 #s(approx (/ 1 (+ ( x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 F (.f64 F #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) #s(approx (/ 1 (+ ( x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 F (*.f64 F #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))))) (neg.f64 x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (-.f64 (.f64 x #s(literal 1/24 binary64)) (fma.f64 x #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x #s(literal -1/3 binary64))))) (neg.f64 (.f64 B B)) (.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) #s(approx (- (* (sqrt (/ 1 (+ (* x 2) 2))) (/ F B)) (/ x B)) (fma.f64 x (fma.f64 #s(literal -1/4 binary64) (/.f64 F (.f64 B (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) B)) (/.f64 (.f64 F (sqrt.f64 #s(literal 1/2 binary64))) B)))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (.f64 #s(approx (/ F (sin B)) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (.f64 F #s(literal 7/360 binary64)) (*.f64 F #s(literal 1/6 binary64))) F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 (.f64 F (sqrt.f64 #s(literal 1/2 binary64))) B) (/.f64 #s(literal -1 binary64) B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 B B) F) F) (-.f64 (.f64 (.f64 x (*.f64 B B)) #s(literal 1/3 binary64)) x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (.f64 F (.f64 B B)) F) (.f64 (.f64 B B) (*.f64 x #s(literal 1/3 binary64)))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (fma.f64 (.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (.f64 x (neg.f64 x))) (+.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) x) (fma.f64 (.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (.f64 x (neg.f64 x))))) B))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (.f64 #s(approx (/ F (sin B)) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (fma.f64 (fma.f64 F #s(literal -1/5040 binary64) (fma.f64 F #s(literal 1/720 binary64) (.f64 #s(literal 1/6 binary64) (.f64 F #s(literal -7/360 binary64))))) (neg.f64 (.f64 B B)) (.f64 F #s(literal 7/360 binary64))) (.f64 F #s(literal 1/6 binary64))) F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (neg.f64 x)) B))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (neg.f64 x) (tan.f64 B)))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) #s(approx (/ (* x (cos B)) (sin B)) (/.f64 x B))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* F F) 2)))) (/.f64 (*.f64 F (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 B))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 #s(approx (/ 1 (+ ( F F) 2)) #s(literal 1/2 binary64)))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (.f64 (/.f64 F (sin.f64 B)) #s(approx (sqrt (/ 1 (+ ( F F) 2))) (/.f64 #s(literal -1 binary64) F))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (.f64 (/.f64 F (sin.f64 B)) #s(approx (sqrt (/ 1 (+ ( F F) 2))) (/.f64 #s(literal 1 binary64) F))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (fma.f64 (.f64 F F) (+.f64 (/.f64 (.f64 F F) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 F (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) B))) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 F (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B))) (/.f64 x B))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (/.f64 (.f64 F #s(literal 1 binary64)) (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (.f64 x (fma.f64 #s(literal 1/3 binary64) (.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B))))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
(/.f64 #s(approx (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (sin.f64 B))
(/.f64 #s(approx (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x))) (sin.f64 B))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (fma.f64 (.f64 B (.f64 B B)) (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B)))))
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) #s(approx (* x (cos B)) (fma.f64 #s(literal -1/2 binary64) (.f64 x (.f64 B B)) x))) (sin.f64 B))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (/.f64 F B))))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (.f64 (*.f64 B B) F) F)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (/.f64 x (neg.f64 (sin.f64 B))) (cos.f64 B)))
(/.f64 #s(approx (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (*.f64 x (neg.f64 (cos.f64 B)))) (sin.f64 B))

Outputs

(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))

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

(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))

Calls

2 calls:

68.0ms	F
30.0ms	x

Results

Accuracy	Segments	Branch
80.4%	3	`x`
80.2%	4	`F`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes62.0ms (0.4%)

Memory

-1.2MiB live, 114.5MiB allocated

Counts

90 → 3

Calls

Call 1

Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 #s(literal 1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal -1/6 binary64) #s(literal -1 binary64)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) #s(approx (- (* (sqrt (/ 1 (+ (* x 2) 2))) (/ F B)) (/ x B)) (/.f64 (*.f64 F (sqrt.f64 #s(literal 1/2 binary64))) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (fma.f64 (.f64 B #s(literal -1/6 binary64)) (.f64 B B) B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) (neg.f64 x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (-.f64 (.f64 (.f64 x (*.f64 B B)) #s(literal 1/3 binary64)) x) B)))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (.f64 B B) #s(literal -1/3 binary64) #s(literal 1 binary64)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal -1/6 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (-.f64 #s(literal -1 binary64) x)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 (-.f64 (fma.f64 (.f64 B B) (+.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) x) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( x 2) 2)) #s(literal 1/2 binary64))) (/.f64 F B)) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (*.f64 F F) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (*.f64 B B) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 F (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B))) (/.f64 x B))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (/.f64 (.f64 F #s(literal 1 binary64)) (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (.f64 x (fma.f64 #s(literal 1/3 binary64) (.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B))))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
(/.f64 #s(approx (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (sin.f64 B))
(/.f64 #s(approx (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x))) (sin.f64 B))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (fma.f64 (.f64 B (.f64 B B)) (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B)))))
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) #s(approx (* x (cos B)) (fma.f64 #s(literal -1/2 binary64) (.f64 x (.f64 B B)) x))) (sin.f64 B))

Outputs

(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))

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

#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (neg.f64 x) (tan.f64 B)))

Calls

2 calls:

28.0ms

27.0ms

(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))

Results

Accuracy	Segments	Branch
71.1%	3	`(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))`
79.9%	3	`x`

Compiler

Compiled 34 to 23 computations (32.4% saved)

regimes75.0ms (0.5%)

Memory

27.0MiB live, 145.8MiB allocated

Counts

87 → 3

Calls

Call 1

Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 #s(literal 1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal -1/6 binary64) #s(literal -1 binary64)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) #s(approx (- (* (sqrt (/ 1 (+ (* x 2) 2))) (/ F B)) (/ x B)) (/.f64 (*.f64 F (sqrt.f64 #s(literal 1/2 binary64))) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (fma.f64 (.f64 B #s(literal -1/6 binary64)) (.f64 B B) B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) (neg.f64 x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (-.f64 (.f64 (.f64 x (*.f64 B B)) #s(literal 1/3 binary64)) x) B)))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (.f64 B B) #s(literal -1/3 binary64) #s(literal 1 binary64)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal -1/6 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (-.f64 #s(literal -1 binary64) x)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 (-.f64 (fma.f64 (.f64 B B) (+.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) x) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( x 2) 2)) #s(literal 1/2 binary64))) (/.f64 F B)) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (*.f64 F F) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (*.f64 B B) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (*.f64 #s(approx (/ F (sin B)) (/.f64 F B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ ( x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 F (*.f64 F #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( x 2) 2)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 F B)) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1 binary64) F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) x) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 B (.f64 F F))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 B (.f64 F F))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 B (.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 B (.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( x 2) 2)) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 F B)) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (/.f64 (.f64 F #s(literal 1 binary64)) (.f64 B (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ ( x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 F (*.f64 F #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (.f64 F F) (fma.f64 (.f64 F F) #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( x 2) 2)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))) (/.f64 F B)) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F B)) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 F B)) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1 binary64) F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) B) (.f64 B x)) (.f64 B B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 F (*.f64 (/.f64 #s(literal 1 binary64) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 (neg.f64 x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 (sqrt.f64 (.f64 #s(approx (/ 1 (+ ( x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 F (.f64 F #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) #s(approx (/ 1 (+ ( x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 F (*.f64 F #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))))) (neg.f64 x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (-.f64 (.f64 x #s(literal 1/24 binary64)) (fma.f64 x #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x #s(literal -1/3 binary64))))) (neg.f64 (.f64 B B)) (.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) #s(approx (- (* (sqrt (/ 1 (+ (* x 2) 2))) (/ F B)) (/ x B)) (fma.f64 x (fma.f64 #s(literal -1/4 binary64) (/.f64 F (.f64 B (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) B)) (/.f64 (.f64 F (sqrt.f64 #s(literal 1/2 binary64))) B)))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (.f64 #s(approx (/ F (sin B)) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (.f64 F #s(literal 7/360 binary64)) (*.f64 F #s(literal 1/6 binary64))) F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 (.f64 F (sqrt.f64 #s(literal 1/2 binary64))) B) (/.f64 #s(literal -1 binary64) B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 B B) F) F) (-.f64 (.f64 (.f64 x (*.f64 B B)) #s(literal 1/3 binary64)) x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (.f64 F (.f64 B B)) F) (.f64 (.f64 B B) (*.f64 x #s(literal 1/3 binary64)))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (fma.f64 (.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (.f64 x (neg.f64 x))) (+.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) x) (fma.f64 (.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (.f64 x (neg.f64 x))))) B))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (.f64 #s(approx (/ F (sin B)) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (fma.f64 (fma.f64 F #s(literal -1/5040 binary64) (fma.f64 F #s(literal 1/720 binary64) (.f64 #s(literal 1/6 binary64) (.f64 F #s(literal -7/360 binary64))))) (neg.f64 (.f64 B B)) (.f64 F #s(literal 7/360 binary64))) (.f64 F #s(literal 1/6 binary64))) F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (neg.f64 x)) B))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (neg.f64 x) (tan.f64 B)))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) #s(approx (/ (* x (cos B)) (sin B)) (/.f64 x B))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* F F) 2)))) (/.f64 (*.f64 F (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 B))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 #s(approx (/ 1 (+ ( F F) 2)) #s(literal 1/2 binary64)))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (.f64 (/.f64 F (sin.f64 B)) #s(approx (sqrt (/ 1 (+ ( F F) 2))) (/.f64 #s(literal -1 binary64) F))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (.f64 (/.f64 F (sin.f64 B)) #s(approx (sqrt (/ 1 (+ ( F F) 2))) (/.f64 #s(literal 1 binary64) F))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (fma.f64 (.f64 F F) (+.f64 (/.f64 (.f64 F F) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 F (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) B))) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 F (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B))) (/.f64 x B))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (/.f64 (.f64 F #s(literal 1 binary64)) (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (.f64 x (fma.f64 #s(literal 1/3 binary64) (.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B))))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
(/.f64 #s(approx (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (sin.f64 B))

Outputs

(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))

#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (/.f64 (*.f64 F #s(literal 1 binary64)) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))))

(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))

Calls

2 calls:

41.0ms	x
28.0ms	F

Results

Accuracy	Segments	Branch
73.0%	6	`F`
74.1%	3	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes86.0ms (0.6%)

Memory

-14.6MiB live, 177.2MiB allocated

Counts

80 → 2

Calls

Call 1

Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 #s(literal 1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal -1/6 binary64) #s(literal -1 binary64)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) #s(approx (- (* (sqrt (/ 1 (+ (* x 2) 2))) (/ F B)) (/ x B)) (/.f64 (*.f64 F (sqrt.f64 #s(literal 1/2 binary64))) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (fma.f64 (.f64 B #s(literal -1/6 binary64)) (.f64 B B) B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) (neg.f64 x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (-.f64 (.f64 (.f64 x (*.f64 B B)) #s(literal 1/3 binary64)) x) B)))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (.f64 B B) #s(literal -1/3 binary64) #s(literal 1 binary64)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal -1/6 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (-.f64 #s(literal -1 binary64) x)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 (-.f64 (fma.f64 (.f64 B B) (+.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) x) B)))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (fma.f64 (.f64 F F) (+.f64 (/.f64 (.f64 F F) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 F (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) B))) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 F (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B))) (/.f64 x B))))

Outputs

#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) F) F) (-.f64 (*.f64 (*.f64 x (*.f64 B B)) #s(literal 1/3 binary64)) x)) B))

#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (neg.f64 x) (tan.f64 B)))

Calls

3 calls:

30.0ms

25.0ms

23.0ms

(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))

Results

Accuracy	Segments	Branch
64.9%	4	`(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))`
69.5%	2	`B`
71.7%	5	`x`

Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes357.0ms (2.3%)

Memory

-104.4MiB live, 178.3MiB allocated

Counts

68 → 3

Calls

Call 1

Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 #s(literal 1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal -1/6 binary64) #s(literal -1 binary64)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) #s(approx (- (* (sqrt (/ 1 (+ (* x 2) 2))) (/ F B)) (/ x B)) (/.f64 (*.f64 F (sqrt.f64 #s(literal 1/2 binary64))) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (fma.f64 (.f64 B #s(literal -1/6 binary64)) (.f64 B B) B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) (neg.f64 x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (-.f64 (.f64 (.f64 x (*.f64 B B)) #s(literal 1/3 binary64)) x) B)))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (.f64 B B) #s(literal -1/3 binary64) #s(literal 1 binary64)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal -1/6 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (-.f64 #s(literal -1 binary64) x)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 (-.f64 (fma.f64 (.f64 B B) (+.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) x) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( x 2) 2)) #s(literal 1/2 binary64))) (/.f64 F B)) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (*.f64 F F) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (*.f64 B B) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (*.f64 #s(approx (/ F (sin B)) (/.f64 F B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ ( x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 F (*.f64 F #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( x 2) 2)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 F B)) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1 binary64) F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) x) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 B (.f64 F F))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 B (.f64 F F))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 B (.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 B (.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( x 2) 2)) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 F B)) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (/.f64 (.f64 F #s(literal 1 binary64)) (.f64 B (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ ( x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 F (*.f64 F #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (.f64 F F) (fma.f64 (.f64 F F) #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( x 2) 2)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))) (/.f64 F B)) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F B)) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 F B)) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1 binary64) F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) B) (.f64 B x)) (.f64 B B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 F (*.f64 (/.f64 #s(literal 1 binary64) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 (neg.f64 x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 (sqrt.f64 (.f64 #s(approx (/ 1 (+ ( x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 F (.f64 F #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) #s(approx (/ 1 (+ ( x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 F (*.f64 F #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))))) (neg.f64 x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (-.f64 (.f64 x #s(literal 1/24 binary64)) (fma.f64 x #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x #s(literal -1/3 binary64))))) (neg.f64 (.f64 B B)) (.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) #s(approx (- (* (sqrt (/ 1 (+ (* x 2) 2))) (/ F B)) (/ x B)) (fma.f64 x (fma.f64 #s(literal -1/4 binary64) (/.f64 F (.f64 B (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) B)) (/.f64 (.f64 F (sqrt.f64 #s(literal 1/2 binary64))) B)))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (.f64 #s(approx (/ F (sin B)) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (.f64 F #s(literal 7/360 binary64)) (*.f64 F #s(literal 1/6 binary64))) F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 (.f64 F (sqrt.f64 #s(literal 1/2 binary64))) B) (/.f64 #s(literal -1 binary64) B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 B B) F) F) (-.f64 (.f64 (.f64 x (*.f64 B B)) #s(literal 1/3 binary64)) x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (.f64 F (.f64 B B)) F) (.f64 (.f64 B B) (*.f64 x #s(literal 1/3 binary64)))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (fma.f64 (.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (.f64 x (neg.f64 x))) (+.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) x) (fma.f64 (.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (.f64 x (neg.f64 x))))) B))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (.f64 #s(approx (/ F (sin B)) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (fma.f64 (fma.f64 F #s(literal -1/5040 binary64) (fma.f64 F #s(literal 1/720 binary64) (.f64 #s(literal 1/6 binary64) (.f64 F #s(literal -7/360 binary64))))) (neg.f64 (.f64 B B)) (.f64 F #s(literal 7/360 binary64))) (.f64 F #s(literal 1/6 binary64))) F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (neg.f64 x)) B))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))

Outputs

#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal -1/6 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (-.f64 #s(literal -1 binary64) x)) B)))

#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) x) B))

#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))

Calls

4 calls:

279.0ms	B
34.0ms	x
20.0ms	F
19.0ms	(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))

Results

Accuracy	Segments	Branch
48.9%	2	`(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))`
56.1%	3	`F`
45.1%	1	`x`
51.3%	2	`B`

Compiler

Compiled 42 to 29 computations (31% saved)

regimes28.0ms (0.2%)

Memory

-19.8MiB live, 58.9MiB allocated

Counts

67 → 3

Calls

Call 1

Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 #s(literal 1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal -1/6 binary64) #s(literal -1 binary64)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) #s(approx (- (* (sqrt (/ 1 (+ (* x 2) 2))) (/ F B)) (/ x B)) (/.f64 (*.f64 F (sqrt.f64 #s(literal 1/2 binary64))) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (fma.f64 (.f64 B #s(literal -1/6 binary64)) (.f64 B B) B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) (neg.f64 x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (-.f64 (.f64 (.f64 x (*.f64 B B)) #s(literal 1/3 binary64)) x) B)))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (.f64 B B) #s(literal -1/3 binary64) #s(literal 1 binary64)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal -1/6 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (-.f64 #s(literal -1 binary64) x)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 (-.f64 (fma.f64 (.f64 B B) (+.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) x) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( x 2) 2)) #s(literal 1/2 binary64))) (/.f64 F B)) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (*.f64 F F) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (*.f64 B B) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (*.f64 #s(approx (/ F (sin B)) (/.f64 F B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ ( x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 F (*.f64 F #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( x 2) 2)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 F B)) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1 binary64) F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) x) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 B (.f64 F F))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 B (.f64 F F))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 B (.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 B (.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( x 2) 2)) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 F B)) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (/.f64 (.f64 F #s(literal 1 binary64)) (.f64 B (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ ( x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 F (*.f64 F #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (.f64 F F) (fma.f64 (.f64 F F) #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( x 2) 2)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))) (/.f64 F B)) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F B)) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 F B)) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1 binary64) F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) B) (.f64 B x)) (.f64 B B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 F (*.f64 (/.f64 #s(literal 1 binary64) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 (neg.f64 x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 (sqrt.f64 (.f64 #s(approx (/ 1 (+ ( x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 F (.f64 F #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) #s(approx (/ 1 (+ ( x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 F (*.f64 F #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))))) (neg.f64 x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (-.f64 (.f64 x #s(literal 1/24 binary64)) (fma.f64 x #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x #s(literal -1/3 binary64))))) (neg.f64 (.f64 B B)) (.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) #s(approx (- (* (sqrt (/ 1 (+ (* x 2) 2))) (/ F B)) (/ x B)) (fma.f64 x (fma.f64 #s(literal -1/4 binary64) (/.f64 F (.f64 B (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) B)) (/.f64 (.f64 F (sqrt.f64 #s(literal 1/2 binary64))) B)))))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (.f64 #s(approx (/ F (sin B)) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (.f64 F #s(literal 7/360 binary64)) (*.f64 F #s(literal 1/6 binary64))) F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 (.f64 F (sqrt.f64 #s(literal 1/2 binary64))) B) (/.f64 #s(literal -1 binary64) B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 B B) F) F) (-.f64 (.f64 (.f64 x (*.f64 B B)) #s(literal 1/3 binary64)) x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (.f64 F (.f64 B B)) F) (.f64 (.f64 B B) (*.f64 x #s(literal 1/3 binary64)))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (fma.f64 (.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (.f64 x (neg.f64 x))) (+.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) x) (fma.f64 (.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (.f64 x (neg.f64 x))))) B))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (.f64 #s(approx (/ F (sin B)) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (fma.f64 (fma.f64 F #s(literal -1/5040 binary64) (fma.f64 F #s(literal 1/720 binary64) (.f64 #s(literal 1/6 binary64) (.f64 F #s(literal -7/360 binary64))))) (neg.f64 (.f64 B B)) (.f64 F #s(literal 7/360 binary64))) (.f64 F #s(literal 1/6 binary64))) F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (neg.f64 x)) B))

Outputs

#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal -1/6 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (-.f64 #s(literal -1 binary64) x)) B)))

#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) x) B))

#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))

Calls

1 calls:

23.0ms

Results

Accuracy	Segments	Branch
53.9%	3	`F`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes13.0ms (0.1%)

Memory

31.0MiB live, 31.0MiB allocated

Counts

37 → 3

Calls

Call 1

Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 #s(literal 1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal -1/6 binary64) #s(literal -1 binary64)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) #s(approx (- (* (sqrt (/ 1 (+ (* x 2) 2))) (/ F B)) (/ x B)) (/.f64 (*.f64 F (sqrt.f64 #s(literal 1/2 binary64))) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (fma.f64 (.f64 B #s(literal -1/6 binary64)) (.f64 B B) B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) (neg.f64 x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (-.f64 (.f64 (.f64 x (*.f64 B B)) #s(literal 1/3 binary64)) x) B)))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (.f64 B B) #s(literal -1/3 binary64) #s(literal 1 binary64)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal -1/6 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (-.f64 #s(literal -1 binary64) x)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 (-.f64 (fma.f64 (.f64 B B) (+.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) x) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( x 2) 2)) #s(literal 1/2 binary64))) (/.f64 F B)) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (*.f64 F F) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (*.f64 B B) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (*.f64 #s(approx (/ F (sin B)) (/.f64 F B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ ( x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 F (*.f64 F #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( x 2) 2)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 F B)) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1 binary64) F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) x) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 B (.f64 F F))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 B (.f64 F F))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 B (.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 B (.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B))))

Outputs

#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal -1/6 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (-.f64 #s(literal -1 binary64) x)) B)))

#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B))

#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
53.8%	3	`F`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes14.0ms (0.1%)

Memory

-6.4MiB live, 31.5MiB allocated

Counts

32 → 3

Calls

Call 1

Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 #s(literal 1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal -1/6 binary64) #s(literal -1 binary64)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) #s(approx (- (* (sqrt (/ 1 (+ (* x 2) 2))) (/ F B)) (/ x B)) (/.f64 (*.f64 F (sqrt.f64 #s(literal 1/2 binary64))) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (fma.f64 (.f64 B #s(literal -1/6 binary64)) (.f64 B B) B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) (neg.f64 x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (-.f64 (.f64 (.f64 x (*.f64 B B)) #s(literal 1/3 binary64)) x) B)))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (.f64 B B) #s(literal -1/3 binary64) #s(literal 1 binary64)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal -1/6 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (-.f64 #s(literal -1 binary64) x)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 (-.f64 (fma.f64 (.f64 B B) (+.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) x) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( x 2) 2)) #s(literal 1/2 binary64))) (/.f64 F B)) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (*.f64 F F) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (*.f64 B B) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B))
#s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (*.f64 #s(approx (/ F (sin B)) (/.f64 F B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ ( x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 F (*.f64 F #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( x 2) 2)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 F B)) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1 binary64) F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) x) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 x)) B))

Outputs

#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B))

#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (*.f64 F F) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) (neg.f64 x)) B))

#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
53.6%	3	`F`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes12.0ms (0.1%)

Memory

-12.4MiB live, 25.0MiB allocated

Counts

23 → 3

Calls

Call 1

Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 #s(literal 1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal -1/6 binary64) #s(literal -1 binary64)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) #s(approx (- (* (sqrt (/ 1 (+ (* x 2) 2))) (/ F B)) (/ x B)) (/.f64 (*.f64 F (sqrt.f64 #s(literal 1/2 binary64))) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (fma.f64 (.f64 B #s(literal -1/6 binary64)) (.f64 B B) B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) (neg.f64 x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (-.f64 (.f64 (.f64 x (*.f64 B B)) #s(literal 1/3 binary64)) x) B)))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (.f64 B B) #s(literal -1/3 binary64) #s(literal 1 binary64)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal -1/6 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (-.f64 #s(literal -1 binary64) x)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 (-.f64 (fma.f64 (.f64 B B) (+.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) x) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( x 2) 2)) #s(literal 1/2 binary64))) (/.f64 F B)) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (*.f64 F F) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (*.f64 B B) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))

Outputs

#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal -1/6 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (-.f64 #s(literal -1 binary64) x)) B)))

#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (*.f64 F F) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) (neg.f64 x)) B))

#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
53.5%	3	`F`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0%)

Memory

18.3MiB live, 18.3MiB allocated

Counts

18 → 3

Calls

Call 1

Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 #s(literal 1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal -1/6 binary64) #s(literal -1 binary64)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) #s(approx (- (* (sqrt (/ 1 (+ (* x 2) 2))) (/ F B)) (/ x B)) (/.f64 (*.f64 F (sqrt.f64 #s(literal 1/2 binary64))) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (fma.f64 (.f64 B #s(literal -1/6 binary64)) (.f64 B B) B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) (neg.f64 x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (-.f64 (.f64 (.f64 x (*.f64 B B)) #s(literal 1/3 binary64)) x) B)))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (.f64 B B) #s(literal -1/3 binary64) #s(literal 1 binary64)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal -1/6 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (-.f64 #s(literal -1 binary64) x)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 (-.f64 (fma.f64 (.f64 B B) (+.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) x) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( x 2) 2)) #s(literal 1/2 binary64))) (/.f64 F B)) (/.f64 x B))))

Outputs

#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal -1/6 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (-.f64 #s(literal -1 binary64) x)) B)))

#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) (neg.f64 x)) B))

#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
53.4%	3	`F`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Memory

-21.8MiB live, 15.9MiB allocated

Counts

15 → 3

Calls

Call 1

Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 #s(literal 1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal -1/6 binary64) #s(literal -1 binary64)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) #s(approx (- (* (sqrt (/ 1 (+ (* x 2) 2))) (/ F B)) (/ x B)) (/.f64 (*.f64 F (sqrt.f64 #s(literal 1/2 binary64))) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (fma.f64 (.f64 B #s(literal -1/6 binary64)) (.f64 B B) B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) (neg.f64 x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (-.f64 (.f64 (.f64 x (*.f64 B B)) #s(literal 1/3 binary64)) x) B)))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (.f64 B B) #s(literal -1/3 binary64) #s(literal 1 binary64)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))

Outputs

#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))

#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) (neg.f64 x)) B))

#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
53.4%	3	`F`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes19.0ms (0.1%)

Memory

-7.5MiB live, 40.0MiB allocated

Counts

9 → 4

Calls

Call 1

Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 #s(literal 1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal -1/6 binary64) #s(literal -1 binary64)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) #s(approx (- (* (sqrt (/ 1 (+ (* x 2) 2))) (/ F B)) (/ x B)) (/.f64 (*.f64 F (sqrt.f64 #s(literal 1/2 binary64))) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (fma.f64 (.f64 B #s(literal -1/6 binary64)) (.f64 B B) B)))))

Outputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) #s(approx (- (* (sqrt (/ 1 (+ (* x 2) 2))) (/ F B)) (/ x B)) (/.f64 (*.f64 F (sqrt.f64 #s(literal 1/2 binary64))) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))

Calls

4 calls:

7.0ms	x
4.0ms	(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
4.0ms	F
3.0ms	B

Results

Accuracy	Segments	Branch
37.3%	3	`x`
41.4%	5	`(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))`
35.0%	2	`B`
48.7%	4	`F`

Compiler

Compiled 42 to 29 computations (31% saved)

regimes4.0ms (0%)

Memory

11.1MiB live, 11.1MiB allocated

Counts

7 → 3

Calls

Call 1

Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 #s(literal 1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal -1/6 binary64) #s(literal -1 binary64)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))))

Outputs

#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))

#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))

#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
45.9%	3	`F`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes2.0ms (0%)

Memory

8.1MiB live, 8.1MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))

#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))

#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))

Outputs

#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))

#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
39.3%	2	`F`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Memory

-15.3MiB live, 23.7MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))

#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))

Outputs

#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))

#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))

Calls

4 calls:

3.0ms	(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
2.0ms	x
2.0ms	F
2.0ms	B

Results

Accuracy	Segments	Branch
30.2%	1	`B`
30.2%	1	`x`
30.2%	1	`(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))`
32.5%	2	`F`

Compiler

Compiled 42 to 29 computations (31% saved)

regimes6.0ms (0%)

Memory

18.3MiB live, 18.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs

#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))

Outputs

#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))

Calls

4 calls:

2.0ms	(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
1.0ms	F
1.0ms	B
1.0ms	x

Results

Accuracy	Segments	Branch
12.2%	1	`B`
12.2%	1	`x`
12.2%	1	`(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))`
12.2%	1	`F`

Compiler

Compiled 42 to 29 computations (31% saved)

bsearch13.0ms (0.1%)

Memory

-3.8MiB live, 34.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	predicate-same

Steps

Time	Left	Right
7.0ms	102619316.43595122	4096948840.6025534
4.0ms	-1.73602534238608e+124	-8.111051202477726e+106

Samples

9.0ms	48×	0	valid
1.0ms	5×	0	invalid

Compiler

Compiled 141 to 98 computations (30.5% saved)

Precisions

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

ival-div: 1.0ms (14.8% of total)

ival-add: 1.0ms (14.8% of total)

ival-mult: 1.0ms (14.8% of total)

ival-sin: 1.0ms (14.8% of total)

ival-tan: 1.0ms (14.8% of total)

ival-pow: 1.0ms (14.8% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch17.0ms (0.1%)

Memory

0.9MiB live, 39.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	predicate-same

Steps

Time	Left	Right
0.0ms	102619316.43595122	4096948840.6025534
15.0ms	-48269816169820.67	-5606440377276.785

Samples

12.0ms	64×	0	valid
1.0ms	6×	0	invalid

Compiler

Compiled 213 to 146 computations (31.5% saved)

Precisions

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

ival-mult: 3.0ms (29.2% of total)

ival-div: 1.0ms (9.7% of total)

ival-add: 1.0ms (9.7% of total)

ival-sin: 1.0ms (9.7% of total)

ival-tan: 1.0ms (9.7% of total)

ival-pow: 1.0ms (9.7% of total)

ival-neg: 1.0ms (9.7% of total)

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

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

exact: 0.0ms (0% of total)

bsearch100.0ms (0.7%)

Memory

12.4MiB live, 130.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
62.0ms	6.126997332667207e-10	978.2270329747928
31.0ms	-2346.434591412523	-0.0894227955022405

Samples

77.0ms	288×	0	valid
5.0ms	36×	0	invalid

Compiler

Compiled 645 to 440 computations (31.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-add: 32.0ms (47.5% of total)

ival-mult: 7.0ms (10.4% of total)

ival-tan: 7.0ms (10.4% of total)

ival-div: 6.0ms (8.9% of total)

ival-sin: 6.0ms (8.9% of total)

ival-pow: 6.0ms (8.9% of total)

ival-neg: 3.0ms (4.4% of total)

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

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

exact: 0.0ms (0% of total)

bsearch22.0ms (0.1%)

Memory

-1.8MiB live, 35.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	6.126997332667207e-10	978.2270329747928
1.0ms	-2346.434591412523	-0.0894227955022405

Samples

10.0ms	64×	0	valid
1.0ms	8×	0	invalid

Compiler

Compiled 645 to 440 computations (31.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 2.0ms (22.6% of total)

ival-tan: 2.0ms (22.6% of total)

ival-div: 1.0ms (11.3% of total)

ival-add: 1.0ms (11.3% of total)

ival-sin: 1.0ms (11.3% of total)

ival-pow: 1.0ms (11.3% of total)

ival-neg: 1.0ms (11.3% of total)

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

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

exact: 0.0ms (0% of total)

bsearch62.0ms (0.4%)

Memory

-5.3MiB live, 106.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
28.0ms	6.126997332667207e-10	978.2270329747928
29.0ms	-2346.434591412523	-0.0894227955022405

Samples

43.0ms	224×	0	valid
4.0ms	18×	0	invalid

Compiler

Compiled 717 to 476 computations (33.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-add: 11.0ms (27.2% of total)

ival-div: 5.0ms (12.4% of total)

ival-mult: 5.0ms (12.4% of total)

ival-sin: 5.0ms (12.4% of total)

ival-tan: 5.0ms (12.4% of total)

ival-neg: 5.0ms (12.4% of total)

ival-pow: 4.0ms (9.9% of total)

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

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

exact: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory

5.7MiB live, 5.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.126997332667207e-10	978.2270329747928
1.0ms	-2346.434591412523	-0.0894227955022405

Compiler

Compiled 717 to 476 computations (33.6% saved)

bsearch38.0ms (0.2%)

Memory

-9.8MiB live, 70.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
34.0ms	1.98999813991291e+147	1.2236004234030567e+151
1.0ms	-2346.434591412523	-0.0894227955022405

Samples

27.0ms

128×

valid

Compiler

Compiled 609 to 402 computations (34% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-tan: 10.0ms (42.2% of total)

ival-mult: 3.0ms (12.7% of total)

ival-sin: 3.0ms (12.7% of total)

ival-pow: 3.0ms (12.7% of total)

ival-div: 2.0ms (8.4% of total)

ival-add: 2.0ms (8.4% of total)

ival-neg: 1.0ms (4.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch68.0ms (0.4%)

Memory

11.6MiB live, 127.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
33.0ms	4.337989633209233e-61	1.607647715663266e-48
29.0ms	-2.1756998696216172e-76	-2.0990464708704298e-82

Samples

49.0ms

304×

valid

Compiler

Compiled 907 to 577 computations (36.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 9.0ms (22.7% of total)

ival-div: 6.0ms (15.1% of total)

ival-sin: 6.0ms (15.1% of total)

ival-tan: 6.0ms (15.1% of total)

ival-pow: 6.0ms (15.1% of total)

ival-add: 4.0ms (10.1% of total)

ival-neg: 2.0ms (5% of total)

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

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

exact: 0.0ms (0% of total)

bsearch46.0ms (0.3%)

Memory

-15.2MiB live, 73.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	3.734671898738997e-21	1.3059376480233479e-20
26.0ms	-2.421007813345907e-37	-2.0910743739094967e-38

Samples

35.0ms

176×

valid

Compiler

Compiled 427 to 287 computations (32.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-div: 4.0ms (17.6% of total)

ival-mult: 4.0ms (17.6% of total)

ival-tan: 4.0ms (17.6% of total)

ival-pow: 4.0ms (17.6% of total)

ival-sin: 3.0ms (13.2% of total)

ival-add: 2.0ms (8.8% of total)

ival-neg: 1.0ms (4.4% of total)

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

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

exact: 0.0ms (0% of total)

bsearch59.0ms (0.4%)

Memory

-9.5MiB live, 108.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
28.0ms	4.337989633209233e-61	1.607647715663266e-48
23.0ms	-2.1756998696216172e-76	-2.0990464708704298e-82

Samples

41.0ms

256×

valid

Compiler

Compiled 679 to 482 computations (29% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-div: 6.0ms (17.6% of total)

ival-mult: 6.0ms (17.6% of total)

ival-sin: 5.0ms (14.7% of total)

ival-tan: 5.0ms (14.7% of total)

ival-pow: 5.0ms (14.7% of total)

ival-add: 3.0ms (8.8% of total)

ival-neg: 3.0ms (8.8% of total)

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

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

exact: 0.0ms (0% of total)

bsearch12.0ms (0.1%)

Memory

23.7MiB live, 23.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	13.29485039525101	15.796181432548995

Samples

9.0ms

48×

valid

Compiler

Compiled 168 to 107 computations (36.3% saved)

Precisions

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

ival-tan: 2.0ms (28.3% of total)

ival-div: 1.0ms (14.1% of total)

ival-add: 1.0ms (14.1% of total)

ival-mult: 1.0ms (14.1% of total)

ival-sin: 1.0ms (14.1% of total)

ival-pow: 1.0ms (14.1% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch37.0ms (0.2%)

Memory

11.4MiB live, 50.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.98999813991291e+147	1.2236004234030567e+151
24.0ms	-7.313803464585783e+84	-1.2354039793069196e+83

Samples

26.0ms	160×	0	valid
0.0ms	1×	0	invalid

Compiler

Compiled 552 to 338 computations (38.8% saved)

Precisions

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

ival-mult: 4.0ms (18.6% of total)

ival-tan: 4.0ms (18.6% of total)

ival-pow: 4.0ms (18.6% of total)

ival-div: 3.0ms (13.9% of total)

ival-sin: 3.0ms (13.9% of total)

ival-add: 2.0ms (9.3% of total)

ival-neg: 1.0ms (4.6% of total)

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

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

exact: 0.0ms (0% of total)

bsearch6.0ms (0%)

Memory

-27.6MiB live, 11.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	2398161080859.185	3.334150392325668e+26
1.0ms	-7.313803464585783e+84	-1.2354039793069196e+83

Samples

4.0ms

16×

valid

Compiler

Compiled 360 to 218 computations (39.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-add: 2.0ms (62.3% of total)

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

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

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

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

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

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

exact: 0.0ms (0% of total)

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

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

bsearch1.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	2398161080859.185	3.334150392325668e+26
1.0ms	-7.313803464585783e+84	-1.2354039793069196e+83

Compiler

Compiled 360 to 226 computations (37.2% saved)

bsearch20.0ms (0.1%)

Memory

21.1MiB live, 21.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	6.126997332667207e-10	978.2270329747928
11.0ms	-2346.434591412523	-0.0894227955022405

Samples

12.0ms	80×	0	valid
1.0ms	8×	0	invalid

Compiler

Compiled 671 to 416 computations (38% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 2.0ms (18.3% of total)

ival-mult: 2.0ms (18.3% of total)

ival-sin: 2.0ms (18.3% of total)

ival-tan: 2.0ms (18.3% of total)

ival-pow: 2.0ms (18.3% of total)

ival-add: 1.0ms (9.1% of total)

ival-neg: 1.0ms (9.1% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.126997332667207e-10	978.2270329747928
1.0ms	-2346.434591412523	-0.0894227955022405

Compiler

Compiled 679 to 416 computations (38.7% saved)

bsearch124.0ms (0.8%)

Memory

-26.2MiB live, 88.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
34.0ms	978.2270329747928	102619316.43595122
80.0ms	-46877.43036784199	-2346.434591412523

Samples

96.0ms	256×	0	valid
7.0ms	33×	0	invalid

Compiler

Compiled 526 to 324 computations (38.4% saved)

Precisions

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

ival-mult: 9.0ms (23.5% of total)

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

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

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

ival-pow: 5.0ms (13% of total)

ival-add: 4.0ms (10.4% of total)

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

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	978.2270329747928	102619316.43595122
1.0ms	-2346.434591412523	-0.0894227955022405

Compiler

Compiled 475 to 298 computations (37.3% saved)

bsearch66.0ms (0.4%)

Memory

17.6MiB live, 91.7MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	978.2270329747928	102619316.43595122
26.0ms	3.3758246189351514e-115	2.924344806315721e-113
34.0ms	-2.1687490778361253e-29	-9.55030966087545e-37

Samples

45.0ms	256×	0	valid
4.0ms	31×	0	invalid

Compiler

Compiled 599 to 376 computations (37.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-tan: 9.0ms (21.9% of total)

ival-mult: 7.0ms (17.1% of total)

ival-add: 6.0ms (14.6% of total)

ival-sin: 6.0ms (14.6% of total)

ival-div: 5.0ms (12.2% of total)

ival-pow: 5.0ms (12.2% of total)

ival-neg: 2.0ms (4.9% of total)

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

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

exact: 0.0ms (0% of total)

bsearch31.0ms (0.2%)

Memory

-12.2MiB live, 32.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
28.0ms	5.937450064018701e-161	1.0272966028665963e-159
1.0ms	-2.1687490778361253e-29	-9.55030966087545e-37

Samples

22.0ms	112×	0	valid
1.0ms	9×	0	invalid

Compiler

Compiled 369 to 234 computations (36.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-tan: 8.0ms (40.1% of total)

ival-mult: 3.0ms (15% of total)

ival-div: 2.0ms (10% of total)

ival-add: 2.0ms (10% of total)

ival-sin: 2.0ms (10% of total)

ival-pow: 2.0ms (10% of total)

ival-neg: 1.0ms (5% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-2.1687490778361253e-29	-9.55030966087545e-37

Compiler

Compiled 222 to 143 computations (35.6% saved)

bsearch23.0ms (0.2%)

Memory

28.5MiB live, 28.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	-7.712129043561892e+167	-3.1613275364238883e+165

Samples

17.0ms

112×

valid

Compiler

Compiled 173 to 110 computations (36.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 3.0ms (22% of total)

ival-div: 2.0ms (14.7% of total)

ival-sin: 2.0ms (14.7% of total)

ival-tan: 2.0ms (14.7% of total)

ival-pow: 2.0ms (14.7% of total)

ival-add: 1.0ms (7.3% of total)

ival-neg: 1.0ms (7.3% of total)

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

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

exact: 0.0ms (0% of total)

simplify48.0ms (0.3%)

Memory

-10.4MiB live, 27.8MiB allocated

Algorithm

1×	egg-herbie

Rules

38×	`+-commutative_binary64`
38×	`sub-neg_binary64`
36×	`*-commutative_binary64`
18×	`cancel-sign-sub-inv_binary64`
16×	`neg-sub0_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	287	2822
1	329	2819
2	367	2819
3	381	2819
4	392	2819
5	394	2819

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 F #s(literal -9999999999999999483531874467312143214394768377282087351960514613084929070487027419252537449089020883885200422613425626021888 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B))) (if (<=.f64 F #s(literal 200000000 binary64)) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (.f64 x (cos.f64 B))) (sin.f64 B)) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* F F) (+ (* 2 x) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B)))))
(if (<=.f64 F #s(literal -6000000000000 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B))) (if (<=.f64 F #s(literal 200000000 binary64)) (-.f64 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* F F) (+ (* 2 x) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B)))))
(if (<=.f64 F #s(literal -7656119366529843/4503599627370496 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B))) (if (<=.f64 F #s(literal 6124895493223875/4503599627370496 binary64)) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ ( F F) (+ (* 2 x) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (.f64 x (cos.f64 B))) (sin.f64 B)) (-.f64 #s(approx (/ F ( (sin B) (sqrt (+ (* F F) (+ (* 2 x) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B)))))
(if (<=.f64 F #s(literal -7656119366529843/4503599627370496 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B))) (if (<=.f64 F #s(literal 3152519739159347/2251799813685248 binary64)) (-.f64 (/.f64 F (.f64 (sin.f64 B) #s(approx (sqrt (+ (* F F) (+ (* 2 x) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* F F) (+ (* 2 x) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B)))))
(if (<=.f64 F #s(literal -600 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B))) (if (<=.f64 F #s(literal 135 binary64)) (fma.f64 #s(approx (/ (pow (+ ( 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* F F) (+ (* 2 x) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B)))))
(if (<=.f64 F #s(literal -600 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B))) (if (<=.f64 F #s(literal 135 binary64)) (fma.f64 #s(approx (/ (pow (+ ( 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) #s(literal 1 binary64)) (*.f64 x (cos.f64 B))) (sin.f64 B))))
(if (<=.f64 F #s(literal -600 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B))) (if (<=.f64 F #s(literal 6999999999999999684139492133159899496680888126211097963227813499249185715053200285674265851964067232191151743422340647893338824751914344253983207456768 binary64)) (fma.f64 #s(approx (/ (pow (+ ( 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))))
(if (<=.f64 x #s(literal -495407149444547/521481209941628438084722096232800809229175908778479680162851955034721612739414196782949728256 binary64)) (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (if (<=.f64 x #s(literal 5265614583427859/52656145834278593348959013841835216159447547700274555627155488768 binary64)) (/.f64 #s(approx (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x))) (sin.f64 B)) (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))))
(if (<=.f64 x #s(literal -5746858278247083/23945242826029513411849172299223580994042798784118784 binary64)) (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B)))) (if (<=.f64 x #s(literal 2259687592834357/332306998946228968225951765070086144 binary64)) (/.f64 #s(approx (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x))) (sin.f64 B)) #s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (neg.f64 x) (tan.f64 B)))))
(if (<=.f64 x #s(literal -7822218149124427/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064 binary64)) (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B)))) (if (<=.f64 x #s(literal 2042916918650007/13803492693581127574869511724554050904902217944340773110325048447598592 binary64)) #s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) (/.f64 (.f64 F #s(literal 1 binary64)) (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))))
(if (<=.f64 B #s(literal 27/2 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 B B) F) F) (-.f64 (.f64 (.f64 x (.f64 B B)) #s(literal 1/3 binary64)) x)) B)) #s(approx (+ ( (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (neg.f64 x) (tan.f64 B))))
(if (<=.f64 F #s(literal -7199999999999999898288615257142172199941633644314752853272728502510937167732540440576 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 (fma.f64 (.f64 B B) (fma.f64 x #s(literal -1/6 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (-.f64 #s(literal -1 binary64) x)) B))) (if (<=.f64 F #s(literal 4299999999999999972105967863651227530663701651930710886815110735211485003587582845346029163554595202903947662676824240451627359494159481992498628263936 binary64)) #s(approx (+ (neg ( x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) x) B)) #s(approx (/ (- (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (* x (cos B))) (sin B)) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))))
(if (<=.f64 F #s(literal -7199999999999999898288615257142172199941633644314752853272728502510937167732540440576 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 (fma.f64 (.f64 B B) (fma.f64 x #s(literal -1/6 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (-.f64 #s(literal -1 binary64) x)) B))) (if (<=.f64 F #s(literal 4000000000000 binary64)) #s(approx (+ (neg ( x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) x) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))))
(if (<=.f64 F #s(literal -7199999999999999898288615257142172199941633644314752853272728502510937167732540440576 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 (fma.f64 (.f64 B B) (fma.f64 x #s(literal -1/6 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (-.f64 #s(literal -1 binary64) x)) B))) (if (<=.f64 F #s(literal 4000000000000 binary64)) #s(approx (+ (neg ( x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))))
(if (<=.f64 F #s(literal -3152519739159347/2251799813685248 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B)) (if (<=.f64 F #s(literal 5404319552844595/4503599627370496 binary64)) #s(approx (+ (neg ( x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (.f64 F F) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) (neg.f64 x)) B)) #s(approx (+ (neg ( x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))))
(if (<=.f64 F #s(literal -3039929748475085/2251799813685248 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 (fma.f64 (.f64 B B) (fma.f64 x #s(literal -1/6 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (-.f64 #s(literal -1 binary64) x)) B))) (if (<=.f64 F #s(literal 5404319552844595/4503599627370496 binary64)) #s(approx (+ (neg ( x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (.f64 F F) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) (neg.f64 x)) B)) #s(approx (+ (neg ( x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))))
(if (<=.f64 F #s(literal -2400 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) (/.f64 (fma.f64 (.f64 B B) (fma.f64 x #s(literal -1/6 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (-.f64 #s(literal -1 binary64) x)) B))) (if (<=.f64 F #s(literal 980 binary64)) #s(approx (+ (neg ( x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) (neg.f64 x)) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))))
(if (<=.f64 F #s(literal -3152519739159347/2251799813685248 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) (if (<=.f64 F #s(literal 980 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) (neg.f64 x)) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))))
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Outputs
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(if (<=.f64 F #s(literal -4399999999999999803259826780277973930816444220928314265730739344194148782597047450721700039876349348190202699224713220437909778452887221355886605945275725852836888576 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B)))) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ -1 (sin B)) (/ (* x (cos B)) (sin B))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))

soundness2.3s (15.1%)

Memory

23.5MiB live, 2 132.7MiB allocated

Rules

19 798×	`lower-fma.f64`
19 798×	`lower-fma.f32`
11 798×	`lower-fma.f64`
11 798×	`lower-fma.f32`
11 590×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	384
0	92	344
1	404	336
2	3238	336
0	8735	336
0	81	494
0	115	466
1	482	444
2	3858	444
0	8250	444
0	1107	15716
1	3385	15271
0	8592	13944
0	1409	18087
1	4525	17754
0	8715	16418
0	20	71
0	37	67
1	122	66
2	789	66
0	8296	58
0	60	391
0	97	289
1	379	274
2	2832	274
0	8224	273
0	1128	17422
1	3425	16669
0	8704	15280
0	496	4202
1	1484	4010
2	5378	3926
0	8574	3585

Stop Event

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

Compiler

Compiled 3 077 to 1 632 computations (47% saved)

preprocess258.0ms (1.7%)

Memory: -14.1MiB live, 179.3MiB allocated
Remove: (negabs B)
Compiler: Compiled 2 082 to 480 computations (76.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated