Metrics for VandenBroeck and Keller, Equation (23)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze373.0ms (2.3%)

Memory

39.1MiB live, 430.5MiB 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)

sample2.1s (13.1%)

Memory

31.1MiB live, 1 849.7MiB allocated

Samples

1.5s	8 256×	0	valid
41.0ms	291×	0	invalid

Precisions

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

ival-mult: 236.0ms (19.3% of total)

ival-tan: 201.0ms (16.5% of total)

ival-pow: 182.0ms (14.9% of total)

ival-div: 174.0ms (14.3% of total)

ival-sin: 170.0ms (13.9% of total)

ival-add: 141.0ms (11.5% of total)

ival-neg: 97.0ms (7.9% of total)

exact: 9.0ms (0.7% of total)

ival-true: 6.0ms (0.5% of total)

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

Bogosity

explain279.0ms (1.7%)

Memory

-5.1MiB live, 317.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
61	-	-	`(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))))`
28	-	-	`(.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	61	0
↳	`(*.f64 F F)`	overflow	61
↳	`(+.f64 (*.f64 F F) #s(literal 2 binary64))`	overflow	61
↳	`(+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x))`	overflow	61
`*.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**	28	0

Confusion

	Predicted +	Predicted -
+	51	0
-	23	182

Precision

0.6891891891891891

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	51	0	0
-	23	0	182

Precision?

0.6891891891891891

Recall?

1.0

Freqs

test

number	freq
0	182
1	59
2	15

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

92.0ms

512×

valid

Compiler

Compiled 268 to 64 computations (76.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-div: 13.0ms (19% of total)

ival-mult: 12.0ms (17.6% of total)

ival-sin: 11.0ms (16.1% of total)

ival-pow: 11.0ms (16.1% of total)

ival-tan: 10.0ms (14.6% of total)

ival-add: 7.0ms (10.3% of total)

ival-neg: 4.0ms (5.9% of total)

exact: 1.0ms (1.5% of total)

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

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

preprocess244.0ms (1.5%)

Memory

36.1MiB live, 111.1MiB 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

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.7%	(+.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

▶

80.7%

(+.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)

simplify58.0ms (0.4%)

Memory

-0.9MiB live, 34.9MiB 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)

localize83.0ms (0.5%)

Memory

0.7MiB live, 82.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.15234375	(/.f64 #s(literal 1 binary64) (tan.f64 B))
accuracy	0.27734375	(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
accuracy	6.835172139616063	(.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	14.237807275626345	(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

48.0ms

256×

valid

Compiler

Compiled 119 to 22 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 6.0ms (16.7% of total)

ival-tan: 6.0ms (16.7% of total)

ival-div: 5.0ms (13.9% of total)

ival-sin: 5.0ms (13.9% of total)

ival-pow: 5.0ms (13.9% of total)

ival-neg: 5.0ms (13.9% of total)

ival-add: 4.0ms (11.1% of total)

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

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

exact: 0.0ms (0% of total)

series57.0ms (0.4%)

Memory

-5.9MiB live, 31.8MiB allocated

Counts

7 → 156

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))>
#<alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))>
#<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))))))>
#<alt (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x))>
#<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))))>
#<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)))))>
#<alt (/.f64 #s(literal 1 binary64) (tan.f64 B))>

Outputs
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ x B)>
#<alt (/ (+ x (* -1/3 (* (pow B 2) x))) B)>
#<alt (/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)>
#<alt (/ (+ 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)>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B))))>
#<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))))>
#<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))))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))))>
#<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)))))>
#<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)))))>
#<alt (/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)>
#<alt (/ (- (+ (* 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)>
#<alt (/ (- (+ (* 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)>
#<alt (/ (- (+ (* 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)>
#<alt (- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))>
#<alt (- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))>
#<alt (- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))>
#<alt (- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))>
#<alt (- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))>
#<alt (- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))>
#<alt (- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))>
#<alt (- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B)))>
#<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)))>
#<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)))>
#<alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))>
#<alt (- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) (/ (* x (cos B)) (sin B)))>
#<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)))>
#<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)))>
#<alt (* -1 (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B))))>
#<alt (- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B))))>
#<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))))>
#<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))))>
#<alt (+ 2 (* 2 x))>
#<alt (+ 2 (+ (* 2 x) (pow F 2)))>
#<alt (+ 2 (+ (* 2 x) (pow F 2)))>
#<alt (+ 2 (+ (* 2 x) (pow F 2)))>
#<alt (pow F 2)>
#<alt (* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))))>
#<alt (* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))))>
#<alt (* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))))>
#<alt (pow F 2)>
#<alt (* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))))>
#<alt (* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))))>
#<alt (* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))))>
#<alt (+ 2 (pow F 2))>
#<alt (+ 2 (+ (* 2 x) (pow F 2)))>
#<alt (+ 2 (+ (* 2 x) (pow F 2)))>
#<alt (+ 2 (+ (* 2 x) (pow F 2)))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (+ (* 2 (/ 1 x)) (/ (pow F 2) x))))>
#<alt (* x (+ 2 (+ (* 2 (/ 1 x)) (/ (pow F 2) x))))>
#<alt (* x (+ 2 (+ (* 2 (/ 1 x)) (/ (pow F 2) x))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* -1 (/ (+ 2 (pow F 2)) x)) 2)))>
#<alt (* -1 (* x (- (* -1 (/ (+ 2 (pow F 2)) x)) 2)))>
#<alt (* -1 (* x (- (* -1 (/ (+ 2 (pow F 2)) x)) 2)))>
#<alt (sqrt (/ 1 (+ 2 (* 2 x))))>
#<alt (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))>
#<alt (+ (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))))))))>
#<alt (+ (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)))))))))>
#<alt (/ 1 F)>
#<alt (/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F)>
#<alt (/ (+ 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)>
#<alt (/ (+ 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)>
#<alt (/ -1 F)>
#<alt (* -1 (/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F))>
#<alt (* -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))>
#<alt (* -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))>
#<alt (sqrt (/ 1 (+ 2 (pow F 2))))>
#<alt (+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* -1 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))))>
#<alt (+ (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))))))))>
#<alt (+ (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)))))))))>
#<alt (* (sqrt (/ 1 x)) (sqrt 1/2))>
#<alt (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2)))>
#<alt (+ (* -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))))>
#<alt (+ (* -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)))))>
#<alt (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))>
#<alt (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))>
#<alt (+ (* -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)))))>
#<alt (+ (* -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)))))>
#<alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))>
#<alt (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))))>
#<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)))))))))>
#<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))))) (* (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)))))))))))>
#<alt (/ 1 (sin B))>
#<alt (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B)))>
#<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))))>
#<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)))))>
#<alt (/ -1 (sin B))>
#<alt (- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B)))>
#<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)))>
#<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)))>
#<alt (* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))>
#<alt (/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B)>
#<alt (/ (+ (* 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)>
#<alt (/ (+ (* 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)>
#<alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))>
#<alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))>
#<alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))>
#<alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))>
#<alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))>
#<alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))>
#<alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))>
#<alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))>
#<alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))>
#<alt (+ (* -1 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))>
#<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))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))>
#<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))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))>
#<alt (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))>
#<alt (+ (* -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))))>
#<alt (+ (* -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)))))>
#<alt (+ (* -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))))))>
#<alt (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))>
#<alt (+ (* -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))))>
#<alt (+ (* -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)))))>
#<alt (+ (* -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)))))>
#<alt (/ 1 B)>
#<alt (/ (+ 1 (* -1/3 (pow B 2))) B)>
#<alt (/ (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))) B)>
#<alt (/ (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))) B)>
#<alt (/ (cos B) (sin B))>
#<alt (/ (cos B) (sin B))>
#<alt (/ (cos B) (sin B))>
#<alt (/ (cos B) (sin B))>
#<alt (/ (cos B) (sin B))>
#<alt (/ (cos B) (sin B))>
#<alt (/ (cos B) (sin B))>
#<alt (/ (cos B) (sin B))>

Calls

39 calls:

Time	Variable		Point	Expression
28.0ms	B	@	0	(+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))))
3.0ms	x	@	-inf	(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)))

simplify604.0ms (3.8%)

Memory

0.9MiB live, 448.6MiB 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)
(/ (+ 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)
(/.f64 (fma.f64 (.f64 B B) (fma.f64 x #s(literal -1/3 binary64) (neg.f64 (.f64 (fma.f64 (.f64 (.f64 x #s(literal 2/945 binary64)) B) B (.f64 x #s(literal 1/45 binary64))) (.f64 B B)))) x) 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))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))
(*.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B)))
(+ (* 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 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B))))
(+ (* 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))))))
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(+ (* -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 (/.f64 #s(literal -1/2 binary64) (sin.f64 B)) (fma.f64 (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 4 binary64)) (/.f64 #s(literal -3/4 binary64) (.f64 (.f64 F F) (.f64 F F))) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 F F))) (/.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)))))
(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 (/.f64 #s(literal -1/2 binary64) (sin.f64 B)) (fma.f64 (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 4 binary64)) (/.f64 #s(literal -3/4 binary64) (.f64 (.f64 F F) (.f64 F F))) (/.f64 (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 4 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 4 binary64)) #s(literal -3/4 binary64))))) (pow.f64 F #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
(/ -1 (sin B))
(/.f64 #s(literal -1 binary64) (sin.f64 B))
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (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 #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)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 B)) (fma.f64 (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 4 binary64)) (/.f64 #s(literal -3/4 binary64) (.f64 (.f64 F F) (.f64 F F))) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 F F))) (/.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)))
(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 (/.f64 #s(literal 1/2 binary64) (sin.f64 B)) (fma.f64 (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 4 binary64)) (/.f64 #s(literal -3/4 binary64) (.f64 (.f64 F F) (.f64 F F))) (/.f64 (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 4 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 4 binary64)) #s(literal -3/4 binary64))))) (pow.f64 F #s(literal 6 binary64)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
(* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 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))
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B)
(/.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)
(/ (+ (* 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)
(/.f64 (fma.f64 (.f64 B B) (.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 F #s(literal 1/6 binary64) (.f64 (.f64 B B) (.f64 F #s(literal 7/360 binary64))))) (.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) 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)
(/.f64 (fma.f64 (.f64 B B) (.f64 (.f64 B B) (.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 B (neg.f64 (.f64 B (.f64 F #s(literal -31/15120 binary64)))) (.f64 F #s(literal 7/360 binary64))))) (.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)
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))
(*.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B)))
(+ (* -1 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(.f64 F (-.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B)) (.f64 (/.f64 x (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)))))))))
(+ (* 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))))))
(fma.f64 x (fma.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 3/2 binary64) (.f64 x (/.f64 F (sin.f64 B)))))) (.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B))))
(+ (* 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))))))
(fma.f64 x (fma.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 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 5 binary64)))) (.f64 (/.f64 F (sin.f64 B)) #s(literal 3/2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 7 binary64)))) (.f64 (.f64 x (/.f64 F (sin.f64 B))) #s(literal -5/2 binary64)))))) (.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B))))
(* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))
(/.f64 (.f64 (.f64 F (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sin.f64 B))
(+ (* -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))))
(fma.f64 (.f64 F (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sin.f64 B)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 F (fma.f64 F F #s(literal 2 binary64)))) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal 1/2 binary64))))))
(+ (* -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)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 F (fma.f64 F F #s(literal 2 binary64)))) (.f64 (sin.f64 B) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 (.f64 F (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sin.f64 B)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 F (.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)))))))
(+ (* -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))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 F (fma.f64 x (.f64 (/.f64 (.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/64 binary64)) (.f64 (.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 1/16 binary64)))))) (.f64 (sin.f64 B) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 F (fma.f64 F F #s(literal 2 binary64)))) (.f64 (sin.f64 B) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 (.f64 F (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sin.f64 B)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 F (.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))))))))
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))
(/.f64 (.f64 (.f64 F (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sin.f64 B))
(+ (* -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))))
(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)))))
(+ (* -1/8 (* (/ (* 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)))))
(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))

rewrite288.0ms (1.8%)

Memory

-15.2MiB live, 417.1MiB 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))))
(fma.f64 (.f64 F (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 #s(literal 1 binary64) (sin.f64 B))) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.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 -1/4 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (neg.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 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))))
(fma.f64 (/.f64 x (sin.f64 B)) (.f64 (cos.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 (/.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 (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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) F)) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.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 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (/.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 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.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 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (sin.f64 B)) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) F)) (/.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)) #s(literal -1 binary64)) (neg.f64 (/.f64 F (sin.f64 B))) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 (neg.f64 F) #s(literal -1 binary64)) (/.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 (neg.f64 (/.f64 x (sin.f64 B))) (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 (.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))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (.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 -1/4 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/8 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/8 binary64)) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 B))) (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))))
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eval81.0ms (0.5%)

Memory: 21.3MiB live, 95.2MiB allocated
Compiler: Compiled 19 566 to 1 840 computations (90.6% saved)

prune106.0ms (0.7%)

Memory

7.9MiB live, 175.1MiB allocated

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	487	29	516
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	488	29	517

Accuracy

100.0%

Counts

517 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	80.7%	(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)))
	80.8%	(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)))
	87.5%	(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (sin.f64 B)) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) F)) (/.f64 (neg.f64 x) (tan.f64 B)))
▶	87.6%	(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)))
▶	80.7%	(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))))
	80.5%	(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))))
	80.6%	(fma.f64 (.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (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))))
	74.6%	(/.f64 (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))) (tan.f64 B) (.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (sin.f64 B) (tan.f64 B)))
	80.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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)))))
	80.7%	(+.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))))))
	81.6%	(+.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)))
	87.5%	(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.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)))
	87.5%	(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (/.f64 (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))))))
	65.2%	(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 (fma.f64 F (.f64 F (.f64 F F)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
▶	80.6%	(+.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))))
	47.1%	(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (/.f64 (fma.f64 F (.f64 F (.f64 F (.f64 F (.f64 F F)))) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 4 binary64)))) (fma.f64 F (.f64 F (.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)) (*.f64 F F))))) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
	46.8%	(+.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))))
	46.6%	(+.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))))
▶	53.2%	(+.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)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
	52.3%	(+.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))))
	80.7%	(+.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 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))))
	68.1%	(+.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))))
	87.0%	(+.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)))))
	51.7%	(+.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))))))
	46.9%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (.f64 B B) (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 (.f64 (.f64 B B) F) #s(literal 7/360 binary64) (.f64 F #s(literal 1/6 binary64))) (.f64 x (fma.f64 #s(literal 1/45 binary64) (.f64 B B) #s(literal 1/3 binary64)))) (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))
	46.8%	#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))
▶	46.8%	#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 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B))
	30.7%	#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))))
	57.7%	#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 1 592 to 964 computations (39.4% saved)

simplify139.0ms (0.9%)

Memory

-5.8MiB live, 76.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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)))) (.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))))
cost-diff	320	(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
cost-diff	6464	(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))
cost-diff	0	(*.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)))
cost-diff	0	(tan.f64 B)
cost-diff	0	(/.f64 #s(literal -1 binary64) (tan.f64 B))
cost-diff	192	(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))))
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	(*.f64 F (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	(sin.f64 B)
cost-diff	0	(/.f64 #s(literal 1 binary64) (sin.f64 B))
cost-diff	320	(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)))

Rules

1 592×	`lower-fma.f32`
1 580×	`lower-fma.f64`
1 024×	`lower-*.f32`
1 018×	`lower-*.f64`
538×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	430
0	84	417
1	136	401
2	220	401
3	381	401
4	623	401
5	928	401
6	1350	401
7	2325	401
8	2730	401
9	2893	401
10	3033	401
11	3146	401
12	3168	401
13	3183	401
14	3190	401
15	3199	401
16	3200	401
17	3200	401
0	3200	401

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(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)))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
#s(literal 1 binary64)
(sin.f64 B)
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)))
F
(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))
#s(literal -1/2 binary64)
(/.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))
(sin.f64 B)
(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))))
(/.f64 #s(literal -1 binary64) (tan.f64 B))
#s(literal -1 binary64)
(tan.f64 B)
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)))
(/.f64 F (sin.f64 B))
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 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))
#s(literal 2 binary64)
(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))))
(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 (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)))
(/.f64 F (sin.f64 B))
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))
(pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 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))
#s(literal -1/4 binary64)

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

localize174.0ms (1.1%)

Memory

-4.0MiB live, 187.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.27734375	(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
accuracy	0.62890625	(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))
accuracy	6.835172139616063	(*.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)))
accuracy	14.619942697163811	(pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64))
accuracy	0.15234375	(/.f64 #s(literal -1 binary64) (tan.f64 B))
accuracy	0.16015625	(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))))
accuracy	6.835172139616063	(*.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)))
accuracy	14.237807275626356	(pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))
accuracy	0.11328125	(/.f64 #s(literal 1 binary64) (sin.f64 B))
accuracy	0.15234375	(/.f64 #s(literal 1 binary64) (tan.f64 B))
accuracy	0.27734375	(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
accuracy	46.43348947625754	#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
accuracy	0.07421875	(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	0.5435688607425805	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))
accuracy	13.61194876940832	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))
accuracy	30.71261712532138	#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	0.11328125	(/.f64 #s(literal 1 binary64) (sin.f64 B))
accuracy	0.12109375	(/.f64 (neg.f64 x) (tan.f64 B))
accuracy	0.26171875	(*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))
accuracy	14.237807275626356	(pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))

Samples

107.0ms

256×

valid

Compiler

Compiled 461 to 48 computations (89.6% saved)

Precisions

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

ival-mult: 18.0ms (23.6% of total)

ival-pow: 15.0ms (19.6% of total)

ival-div: 14.0ms (18.3% of total)

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

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

ival-tan: 5.0ms (6.5% of total)

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

ival-pow2: 3.0ms (3.9% of total)

ival-sqrt: 2.0ms (2.6% of total)

exact: 1.0ms (1.3% of total)

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

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

series59.0ms (0.4%)

Memory

-9.0MiB live, 65.5MiB allocated

Counts

24 → 624

Calls

Call 1

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

Outputs
#<alt (/ (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B)>
#<alt (/ (+ (* -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)>
#<alt (/ (+ (* -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)>
#<alt (/ (+ (* -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)>
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))>
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))>
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))>
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))>
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))>
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))>
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))>
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))>
#<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))))))))>
#<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))))))))))>
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))>
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))))>
#<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)))))>
#<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))))))>
#<alt (- (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))>
#<alt (- (+ (* -1 (/ (* x (cos B)) (sin B))) (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B))))) (/ 1 (sin B)))>
#<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)))>
#<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)))>
#<alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B))))>
#<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))))>
#<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))))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))))>
#<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)))))>
#<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)))))>
#<alt (/ 1 B)>
#<alt (/ (+ 1 (* 1/6 (pow B 2))) B)>
#<alt (/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B)>
#<alt (/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B)>
#<alt (/ 1 (sin B))>
#<alt (/ 1 (sin B))>
#<alt (/ 1 (sin B))>
#<alt (/ 1 (sin B))>
#<alt (/ 1 (sin B))>
#<alt (/ 1 (sin B))>
#<alt (/ 1 (sin B))>
#<alt (/ 1 (sin B))>
#<alt B>
#<alt (* B (+ 1 (* -1/6 (pow B 2))))>
#<alt (* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6))))>
#<alt (* B (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/120 (* -1/5040 (pow B 2)))) 1/6))))>
#<alt (sin B)>
#<alt (sin B)>
#<alt (sin B)>
#<alt (sin B)>
#<alt (sin B)>
#<alt (sin B)>
#<alt (sin B)>
#<alt (sin B)>
#<alt (* F (sqrt (/ 1 (+ 2 (* 2 x)))))>
#<alt (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))))))>
#<alt (* 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)))))))))>
#<alt (* 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))))))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))))>
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#<alt (+ (* -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))))))>
#<alt (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))>
#<alt (+ (* -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))))>
#<alt (+ (* -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)))))>
#<alt (+ (* -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)))))>

Calls

156 calls:

Time	Variable		Point	Expression
7.0ms	F	@	0	(pow (+ (* 2 x) (+ (* F F) 2)) -1/4)
3.0ms	B	@	0	(tan B)
3.0ms	x	@	-inf	(pow (+ (* 2 x) (+ (* F F) 2)) -1/4)
2.0ms	F	@	inf	(pow (+ (* 2 x) (+ (* F F) 2)) -1/4)
1.0ms	x	@	inf	(pow (+ (* 2 x) (+ (* F F) 2)) -1/4)

simplify414.0ms (2.6%)

Memory

38.3MiB live, 465.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12 332×	`lower-fma.f64`
12 332×	`lower-fma.f32`
7 688×	`lower-*.f64`
7 688×	`lower-*.f32`
6 126×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1127	19139
1	3410	18258
0	8871	16703

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 622

Calls

Call 1

Inputs
(/ (+ (* -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 (/ (* 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)))
(* (/ 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 B)
(/ (+ 1 (* 1/6 (pow B 2))) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B)
(/ 1 (sin B))
(/ 1 (sin B))
(/ 1 (sin B))
(/ 1 (sin B))
(/ 1 (sin B))
(/ 1 (sin B))
(/ 1 (sin B))
(/ 1 (sin B))
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 (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)))))
(* (/ 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))))
(* -1 (/ x B))
(+ (* -1 (/ x B)) (* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x))))))
(+ (* -1 (/ x B)) (* F (+ (* -1/2 (* (/ (pow F 2) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x))))))))
(+ (* -1 (/ x B)) (* F (+ (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))
(/ (- 1 x) B)
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (/ 1 B)) (/ x B))
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B
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(+ (sqrt (/ 1 F)) (+ (* -1/4 (* (sqrt (/ 1 (pow F 5))) (+ 2 (* 2 x)))) (* (sqrt (/ 1 (pow F 9))) (+ (* 1/96 (+ (* -12 (pow (+ 2 (* 2 x)) 2)) (* 24 (pow (+ 2 (* 2 x)) 2)))) (* 1/32 (pow (+ 2 (* 2 x)) 2))))))
(+ (sqrt (/ 1 F)) (+ (* -1/4 (* (sqrt (/ 1 (pow F 5))) (+ 2 (* 2 x)))) (+ (* (sqrt (/ 1 (pow F 9))) (+ (* 1/96 (+ (* -12 (pow (+ 2 (* 2 x)) 2)) (* 24 (pow (+ 2 (* 2 x)) 2)))) (* 1/32 (pow (+ 2 (* 2 x)) 2)))) (* (sqrt (/ 1 (pow F 13))) (+ (* -1/384 (* (+ 2 (* 2 x)) (+ (* -12 (pow (+ 2 (* 2 x)) 2)) (* 24 (pow (+ 2 (* 2 x)) 2))))) (+ (* -1/384 (pow (+ 2 (* 2 x)) 3)) (* 1/2880 (+ (* -720 (pow (+ 2 (* 2 x)) 3)) (+ (* -240 (pow (+ 2 (* 2 x)) 3)) (* 720 (pow (+ 2 (* 2 x)) 3)))))))))))
(* (sqrt (/ 1 F)) (sqrt -1))
(+ (* -1/4 (* (sqrt (/ 1 (pow F 5))) (* (sqrt -1) (+ 2 (* 2 x))))) (* (sqrt (/ 1 F)) (sqrt -1)))
(+ (* -1/4 (* (sqrt (/ 1 (pow F 5))) (* (sqrt -1) (+ 2 (* 2 x))))) (+ (* (sqrt (/ 1 F)) (sqrt -1)) (* (sqrt (/ 1 (pow F 9))) (* (sqrt -1) (+ (* 1/96 (+ (* -12 (pow (+ 2 (* 2 x)) 2)) (* 24 (pow (+ 2 (* 2 x)) 2)))) (* 1/32 (pow (+ 2 (* 2 x)) 2)))))))
(+ (* -1/4 (* (sqrt (/ 1 (pow F 5))) (* (sqrt -1) (+ 2 (* 2 x))))) (+ (* (sqrt (/ 1 F)) (sqrt -1)) (+ (* (sqrt (/ 1 (pow F 9))) (* (sqrt -1) (+ (* 1/96 (+ (* -12 (pow (+ 2 (* 2 x)) 2)) (* 24 (pow (+ 2 (* 2 x)) 2)))) (* 1/32 (pow (+ 2 (* 2 x)) 2))))) (* (sqrt (/ 1 (pow F 13))) (* (sqrt -1) (+ (* -1/384 (* (+ 2 (* 2 x)) (+ (* -12 (pow (+ 2 (* 2 x)) 2)) (* 24 (pow (+ 2 (* 2 x)) 2))))) (+ (* -1/384 (pow (+ 2 (* 2 x)) 3)) (* 1/2880 (+ (* -720 (pow (+ 2 (* 2 x)) 3)) (+ (* -240 (pow (+ 2 (* 2 x)) 3)) (* 720 (pow (+ 2 (* 2 x)) 3))))))))))))
(* (/ 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)))))

Outputs
(/ (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) 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) (+ (* 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)
(/.f64 (-.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 F (.f64 B B)) F) (.f64 (.f64 (*.f64 B B) #s(literal 1/3 binary64)) x)) 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)
(/.f64 (-.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 F (.f64 B B)) F) (.f64 (.f64 B B) (fma.f64 (.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 (.f64 F #s(literal -7/360 binary64))) (.f64 x #s(literal 1/45 binary64))) (.f64 x #s(literal 1/3 binary64))))) 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)
(/.f64 (-.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 F (.f64 B B)) F) (.f64 (.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 B B) (-.f64 (fma.f64 (.f64 B B) (-.f64 (fma.f64 x #s(literal 1/105 binary64) (.f64 (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))) (.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 F #s(literal 1/840 binary64) (.f64 #s(literal 1/6 binary64) (.f64 F #s(literal -7/360 binary64)))))) (.f64 x #s(literal 1/45 binary64))) (.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 #s(literal -7/360 binary64)))))))) x) B)
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))
(fma.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 (sin.f64 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) (pow F 2)))))))
(fma.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 (sin.f64 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) (pow F 2)))))))
(fma.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 (sin.f64 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) (pow F 2)))))))
(fma.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 (sin.f64 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) (pow F 2)))))))
(fma.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 (sin.f64 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) (pow F 2)))))))
(fma.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 (sin.f64 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) (pow F 2)))))))
(fma.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 (sin.f64 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) (pow F 2)))))))
(fma.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 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))))
(* -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))))))
(fma.f64 x (neg.f64 (/.f64 (cos.f64 B) (sin.f64 B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))))
(+ (* -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 #s(literal -1/2 binary64) (.f64 (/.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))))
(+ (* -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))))))))))
(-.f64 (.f64 F (fma.f64 (.f64 F F) (fma.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 #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 (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)) (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 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (.f64 F F) (sin.f64 B))) (/.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 x (neg.f64 (/.f64 (cos.f64 B) (sin.f64 B))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (.f64 F F) (sin.f64 B))) (/.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))))
(+ (* -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 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (.f64 F F) (sin.f64 B))) (/.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 #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 (/ (* 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 (/.f64 (fma.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (*.f64 F F) (sin.f64 B))) (fma.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 (sin B)))
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(- (+ (* -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)))
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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)
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(- (* 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))
(- (+ 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)
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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 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)
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(* -1 (* x (+ 1 (* -1 (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))))))
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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))))) (* (* 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)))))
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(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 x)) (sqrt 1/2))
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(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (.f64 F F) (sin.f64 B))) (/.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)))
(- (+ (* 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 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (.f64 F F) (sin.f64 B))) (+.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 #s(literal -1 binary64) (sin.f64 B)))
(* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 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))
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B)
(/.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 F (*.f64 B B)) F)) 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)
(/.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))))) (.f64 (.f64 B B) (.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 (neg.f64 (.f64 B B)) (.f64 F #s(literal -7/360 binary64)) (.f64 #s(literal 1/6 binary64) F))))) 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)
(/.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 F (.f64 B B)) F) (.f64 (.f64 (.f64 B B) (.f64 B B)) (neg.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 F #s(literal -7/360 binary64) (.f64 (.f64 B B) (fma.f64 F #s(literal 1/840 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 F #s(literal -7/360 binary64)))))))))) B)
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 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 (sin.f64 B)))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 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 (sin.f64 B)))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 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 (sin.f64 B)))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 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 (sin.f64 B)))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 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 (sin.f64 B)))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 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 (sin.f64 B)))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 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 (sin.f64 B)))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 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 (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)))))
(+ (* -1 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ 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 (.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)))))) (.f64 x F)) (neg.f64 (sin.f64 B))))
(+ (* 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))))))
(fma.f64 x (fma.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 (.f64 (.f64 #s(literal 3/2 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 5 binary64)))))) (.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))))))))) (* (/ 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)))))) (/.f64 (.f64 F (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 (sin.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
(* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))
(.f64 (/.f64 (.f64 F (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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))))
(fma.f64 (/.f64 (.f64 F (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (.f64 F (fma.f64 F F #s(literal 2 binary64))) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal 1/2 binary64))))))
(+ (* -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)))))
(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) (.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 F (.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 (/.f64 (*.f64 F (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 B)) (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)))) (* (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))))))
(fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (.f64 F (fma.f64 (.f64 #s(literal 1/64 binary64) x) (/.f64 (.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)))) (.f64 (sin.f64 B) (sqrt.f64 #s(literal 1/2 binary64))))) (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) (.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 F (.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 (/.f64 (*.f64 F (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))
(.f64 (/.f64 (.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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))))
(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))) (.f64 (sin.f64 B) (sqrt.f64 #s(literal -1/2 binary64))))) (.f64 (/.f64 (.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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)))))
(fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (.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 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 -1/8 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))) (.f64 (sin.f64 B) (sqrt.f64 #s(literal -1/2 binary64))))) (.f64 (/.f64 (.f64 (.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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)))))
(-.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))) (.f64 (sin.f64 B) (sqrt.f64 #s(literal -1/2 binary64))))) (.f64 (/.f64 (.f64 (.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (.f64 F (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal -1/64 binary64) x) (/.f64 (.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 (/.f64 #s(literal 1 binary64) x))) (.f64 (sin.f64 B) (sqrt.f64 #s(literal -1/2 binary64)))) (.f64 (.f64 #s(literal -1/16 binary64) (sqrt.f64 x)) (/.f64 (.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 binary64))) (.f64 (sin.f64 B) (sqrt.f64 #s(literal -1/2 binary64)))))) (.f64 x (.f64 x x))))

rewrite354.0ms (2.2%)

Memory

-7.5MiB live, 504.8MiB allocated

Rules

4 706×	`lower-*.f32`
4 700×	`lower-*.f64`
4 158×	`lower-/.f32`
4 144×	`lower-/.f64`
3 978×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	306
0	84	291
1	338	265
2	1985	265
0	8442	265

Stop Event

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

Counts

24 → 1 260

Calls

Call 1

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

Outputs
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 (/.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 F (sqrt.f64 (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))))
(-.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 x (tan.f64 B)))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 x (tan.f64 B)) (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (sin.f64 B))))
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eval419.0ms (2.6%)

Memory: 5.5MiB live, 632.7MiB allocated
Compiler: Compiled 74 301 to 3 707 computations (95% saved)

prune380.0ms (2.4%)

Memory

-18.6MiB live, 596.0MiB allocated

Pruning

53 alts after pruning (52 fresh and 1 done)

	Pruned	Kept	Total
New	2 182	47	2 229
Fresh	19	5	24
Picked	4	1	5
Done	0	0	0
Total	2 205	53	2 258

Accuracy

100.0%

Counts

2 258 → 53

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.2%	(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
	58.4%	(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))) #s(approx (/ (neg x) (tan B)) (/.f64 (neg.f64 x) B)))
	87.5%	(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.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))))
	80.6%	(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (pow.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -1/8 binary64)) #s(literal 4 binary64))))
	46.8%	(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ ( 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) F))))
	59.9%	(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ ( 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))))
	57.8%	(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -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 F (*.f64 B B)) F)) B)))
	52.3%	(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -1/2)) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
	68.1%	(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -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))))
	80.6%	(fma.f64 (.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (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))))
	75.1%	(fma.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) 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)))
▶	87.7%	(-.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 x (tan.f64 B)))
	53.3%	(-.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)))
	53.3%	(+.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (tan.f64 B) x))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
	65.2%	(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 (fma.f64 F (.f64 F (.f64 F F)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
	55.3%	(+.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 B (.f64 (.f64 B B) #s(literal -1/6 binary64)) B)))))
	35.8%	(+.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)))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B))))
	54.2%	(+.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))))
	34.7%	(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
▶	29.2%	(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (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 1/45 binary64))) (.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) B)) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
	52.3%	#s(approx (+ (* (/ 1 (sin B)) (* F (pow (+ (* 2 x) (+ (* F F) 2)) -1/2))) (/ (neg x) (tan B))) (fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
	46.8%	#s(approx (+ (* (/ 1 (sin B)) (* F (pow (+ (* 2 x) (+ (* F F) 2)) -1/2))) (/ (neg x) (tan B))) (/.f64 (-.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 F (.f64 B B)) F) (.f64 (.f64 (*.f64 B B) #s(literal 1/3 binary64)) x)) x) B))
	57.7%	#s(approx (+ (* (/ 1 (sin B)) (* F (pow (+ (* 2 x) (+ (* F F) 2)) -1/2))) (/ (neg x) (tan B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))))
	29.2%	#s(approx (+ (* (/ 1 (sin B)) (* F (pow (+ (* 2 x) (+ (* F F) 2)) -1/2))) (/ (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))))))
	34.0%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.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)))) (neg.f64 (.f64 x x))) (*.f64 B (+.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) x))))
	46.9%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (.f64 B B) (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 (.f64 (.f64 B B) F) #s(literal 7/360 binary64) (.f64 F #s(literal 1/6 binary64))) (.f64 x (fma.f64 #s(literal 1/45 binary64) (.f64 B B) #s(literal 1/3 binary64)))) (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))
	46.8%	#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))
✓	46.8%	#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 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B))
	28.7%	#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 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 #s(literal -1 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 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 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))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (neg.f64 x)) B))
	46.6%	#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))
	25.6%	#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) (*.f64 F F)))) (neg.f64 x)) B))
	18.8%	#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))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B))
	28.5%	#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 F F) (.f64 #s(literal -1/2 binary64) (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))
▶	14.5%	#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 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (neg.f64 x)) B))
	24.6%	#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 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1 binary64)) F)) (neg.f64 x)) B))
	29.0%	#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))
	36.2%	#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)))) (neg.f64 (.f64 x x))) (+.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) x)) B))
	46.8%	#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))
	33.7%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) B) (.f64 B x)) (*.f64 B B)))
	19.7%	#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))
	24.6%	#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))
	28.7%	#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))
	29.1%	#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))
	19.1%	#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 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B))
▶	29.5%	#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))
	46.7%	#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)))
	30.7%	#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))))
	18.9%	#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 (.f64 F F) B)) (/.f64 (-.f64 #s(literal -1 binary64) x) B))))
▶	24.6%	#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 (.f64 F F) B)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
	31.1%	#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))))
	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 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))))
	17.5%	#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))))

Compiler

Compiled 2 454 to 1 420 computations (42.1% saved)

simplify328.0ms (2%)

Memory

8.5MiB live, 437.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	320	(.f64 (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))
cost-diff	320	(fma.f64 (.f64 B B) (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 1/45 binary64)))
cost-diff	320	(/.f64 (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (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 1/45 binary64))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) B)
cost-diff	384	(fma.f64 x #s(literal 1/105 binary64) (.f64 (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))
cost-diff	0	#s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
cost-diff	0	(fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (neg.f64 x))
cost-diff	0	(/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #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 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (neg.f64 x)) B))
cost-diff	0	(/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (.f64 F F) B))
cost-diff	0	#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 (.f64 F F) B)) (/.f64 (-.f64 #s(literal 1 binary64) 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) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (.f64 F F) B)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
cost-diff	384	(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (.f64 F F) B)) (/.f64 (-.f64 #s(literal 1 binary64) 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 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
cost-diff	384	(/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (sin.f64 B))

Rules

13 052×	`lower-fma.f32`
13 030×	`lower-fma.f64`
4 674×	`lower-*.f32`
4 654×	`lower-*.f64`
3 834×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	852
0	137	797
1	249	763
2	562	760
3	1463	751
4	3233	740
5	7939	740
0	8631	729

Stop Event

1×	iter limit
1×	node limit
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))))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (sin.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
(sin.f64 B)
B
(/.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))))) (/.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))))) #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 (.f64 F F) B)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
#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 (.f64 F F) B)) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (.f64 F F) B)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
#s(literal -1/2 binary64)
(/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (.f64 F F) B))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
x
#s(literal 2 binary64)
(.f64 (.f64 F F) B)
(*.f64 F F)
F
B
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#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 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (neg.f64 x)) B))
(/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (neg.f64 x)) B)
(fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (neg.f64 x))
F
#s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
#s(literal -1/8 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(.f64 x (.f64 x x))
(*.f64 x x)
(/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(fma.f64 F F #s(literal 2 binary64))
#s(literal 2 binary64)
(neg.f64 x)
B
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (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 1/45 binary64))) (.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) 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)))) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (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 1/45 binary64))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) B))
(/.f64 (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (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 1/45 binary64))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) B)
(fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (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 1/45 binary64))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))
(*.f64 B B)
B
(fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (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 1/45 binary64))) (.f64 x #s(literal 1/3 binary64)))
(fma.f64 (.f64 B B) (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 1/45 binary64)))
(fma.f64 x #s(literal 1/105 binary64) (.f64 (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))
x
#s(literal 1/105 binary64)
(.f64 (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))
(*.f64 x #s(literal 1/45 binary64))
#s(literal 1/45 binary64)
#s(literal -1/3 binary64)
(*.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(neg.f64 x)
#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)

Outputs
(-.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 x (tan.f64 B)))
(-.f64 (/.f64 F (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (sin.f64 B))
(/.f64 F (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.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
(sin.f64 B)
B
(/.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))))) (/.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))))) #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 (.f64 F F) B)) (/.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) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) B) (/.f64 (-.f64 #s(literal -1 binary64) x) (.f64 F (.f64 F B))))))
#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 (.f64 F F) B)) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))
#s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) B) (/.f64 (-.f64 #s(literal -1 binary64) x) (.f64 F (.f64 F B)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (.f64 F F) B)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) B) (/.f64 (-.f64 #s(literal -1 binary64) x) (.f64 F (.f64 F B))))
#s(literal -1/2 binary64)
(/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (.f64 F F) B))
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 F (.f64 F B)))
(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 (.f64 F F) B)
(.f64 F (.f64 F B))
(*.f64 F F)
F
B
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#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 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #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 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 (fma.f64 (.f64 F F) #s(literal -1/8 binary64) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (neg.f64 x)) B))
(/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (neg.f64 x)) B)
(/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 (fma.f64 (.f64 F F) #s(literal -1/8 binary64) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (neg.f64 x)) B)
(fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (neg.f64 x))
(fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 (fma.f64 (.f64 F F) #s(literal -1/8 binary64) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (neg.f64 x))
F
#s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
#s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 (fma.f64 (.f64 F F) #s(literal -1/8 binary64) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 (fma.f64 (.f64 F F) #s(literal -1/8 binary64) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 (fma.f64 (.f64 F F) #s(literal -1/8 binary64) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
#s(literal -1/8 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(.f64 x (.f64 x x))
(*.f64 x x)
(/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(fma.f64 F F #s(literal 2 binary64))
#s(literal 2 binary64)
(neg.f64 x)
B
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (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 1/45 binary64))) (.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) 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 (neg (* x (/ 1 (tan B)))) (-.f64 (.f64 B (fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 x (.f64 B B)) (fma.f64 (.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64))))) (/.f64 x 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)))) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (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 1/45 binary64))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) B))
#s(approx (neg (* x (/ 1 (tan B)))) (-.f64 (.f64 B (fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 x (.f64 B B)) (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64))))) (/.f64 x B)))
(/.f64 (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (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 1/45 binary64))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) B)
(-.f64 (.f64 B (fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 x (.f64 B B)) (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64))))) (/.f64 x B))
(fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (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 1/45 binary64))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))
(-.f64 (.f64 B (.f64 B (fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 x (.f64 B B)) (fma.f64 (.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))))) x)
(*.f64 B B)
B
(fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (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 1/45 binary64))) (.f64 x #s(literal 1/3 binary64)))
(fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 x (.f64 B B)) (fma.f64 (.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64))))
(fma.f64 (.f64 B B) (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 1/45 binary64)))
(.f64 x (fma.f64 (.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 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 2/945 binary64))
x
#s(literal 1/105 binary64)
(.f64 (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))
(*.f64 x #s(literal -1/135 binary64))
(*.f64 x #s(literal 1/45 binary64))
#s(literal 1/45 binary64)
#s(literal -1/3 binary64)
(*.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(neg.f64 x)
#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)

localize602.0ms (3.7%)

Memory

-18.4MiB live, 343.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.3892602613804232	(/.f64 (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (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 1/45 binary64))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) B)
accuracy	2.1786470460724985	(fma.f64 (.f64 B B) (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 1/45 binary64)))
accuracy	17.819723850057358	#s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (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 1/45 binary64))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) B))
accuracy	29.385490318309195	#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
accuracy	3.734037210785181	(.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
accuracy	12.07583176439613	(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
accuracy	17.91511882960729	#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 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (neg.f64 x)) B))
accuracy	25.91723057087056	#s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
accuracy	1.4510914385755604	(/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (.f64 F F) B))
accuracy	4.133890645823155	(.f64 (.f64 F F) B)
accuracy	17.91511882960729	#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 (.f64 F F) B)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
accuracy	22.353304973857412	#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 (.f64 F F) B)) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))
accuracy	0	(neg.f64 x)
accuracy	0.01171875	(/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)
accuracy	13.069389226806406	#s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))
accuracy	17.91511882960729	#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	0.078125	(/.f64 x (tan.f64 B))
accuracy	0.12890625	(/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
accuracy	0.35315683316541036	(/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (sin.f64 B))
accuracy	8.178972377151702	(sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))

Samples

319.0ms	154×	0	valid
64.0ms	102×	0	invalid

Compiler

Compiled 639 to 77 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 259.0ms

const: 153.0ms (59% of total)

ival-mult: 30.0ms (11.6% of total)

ival-div: 22.0ms (8.5% of total)

ival-add: 19.0ms (7.3% of total)

ival-sqrt: 10.0ms (3.9% of total)

ival-pow: 8.0ms (3.1% of total)

ival-sin: 6.0ms (2.3% of total)

ival-tan: 5.0ms (1.9% of total)

ival-neg: 3.0ms (1.2% of total)

ival-sub: 2.0ms (0.8% of total)

exact: 1.0ms (0.4% of total)

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

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

series54.0ms (0.3%)

Memory

25.6MiB live, 99.3MiB allocated

Counts

26 → 708

Calls

Call 1

Inputs
#<alt (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (sin.f64 B))>
#<alt (-.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 x (tan.f64 B)))>
#<alt (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))>
#<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))>
#<alt (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)>
#<alt #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))>
#<alt (neg.f64 x)>
#<alt (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (.f64 F F) B)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))>
#<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) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (.f64 F F) B)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))>
#<alt #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 (.f64 F F) B)) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))>
#<alt (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (.f64 F F) B))>
#<alt #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 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (neg.f64 x)) B))>
#<alt (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (neg.f64 x)) B)>
#<alt (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (neg.f64 x))>
#<alt #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))>
#<alt (fma.f64 x #s(literal 1/105 binary64) (.f64 (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))>
#<alt (/.f64 (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (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 1/45 binary64))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) B)>
#<alt (fma.f64 (.f64 B B) (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 1/45 binary64)))>
#<alt (.f64 (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))>
#<alt (/.f64 x (tan.f64 B))>
#<alt (.f64 (.f64 F F) B)>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))>
#<alt (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))>
#<alt #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (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 1/45 binary64))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) B))>

Outputs
#<alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))>
#<alt (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))))>
#<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)))))))))>
#<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))))) (* (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)))))))))))>
#<alt (/ 1 (sin B))>
#<alt (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B)))>
#<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))))>
#<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)))))>
#<alt (/ -1 (sin B))>
#<alt (- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B)))>
#<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)))>
#<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)))>
#<alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))>
#<alt (+ (* -1 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))>
#<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))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))>
#<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))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))>
#<alt (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))>
#<alt (+ (* -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))))>
#<alt (+ (* -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)))))>
#<alt (+ (* -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))))))>
#<alt (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))>
#<alt (+ (* -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))))>
#<alt (+ (* -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)))))>
#<alt (+ (* -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)))))>
#<alt (* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))>
#<alt (/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B)>
#<alt (/ (+ (* 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)>
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#<alt (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))>
#<alt (+ (* -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))))>
#<alt (+ (* -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)))))>
#<alt (+ (* -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)))))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ x B))>
#<alt (/ (- (* 1/3 (* (pow B 2) x)) x) B)>
#<alt (/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x))))) x) B)>
#<alt (/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))) x) B)>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>

Calls

177 calls:

Time	Variable		Point	Expression
3.0ms	F	@	0	(/ (+ (* x 2) 2) (* (* F F) B))
2.0ms	x	@	0	(/ (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/105) (* (* x 1/45) -1/3))) (* x 1/45))) (* x 1/3))) (neg x)) B)
2.0ms	x	@	inf	(/ (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/105) (* (* x 1/45) -1/3))) (* x 1/45))) (* x 1/3))) (neg x)) B)
1.0ms	F	@	0	(* (* -1/8 (sqrt (/ 1 (* x (* x x))))) (/ (+ (* F F) 2) (sqrt 1/2)))
1.0ms	B	@	0	(+ (* -1/2 (/ (+ (* x 2) 2) (* (* F F) B))) (/ (- 1 x) B))

simplify477.0ms (3%)

Memory

-8.6MiB live, 616.3MiB allocated

Algorithm

1×	egg-herbie

Rules

14 698×	`lower-fma.f64`
14 698×	`lower-fma.f32`
9 122×	`lower-*.f64`
9 122×	`lower-*.f32`
5 436×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	948	18644
1	3001	17844
0	9141	16390

Stop Event

1×	iter limit
1×	node limit

Counts

708 → 707

Calls

Call 1

Inputs
(* (/ 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 (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)))))
(* (/ 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))))))
(* -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 (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)))
(* 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))))))))
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(* 2/945 x)
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(/ (* x (- (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (* 2/945 (pow B 2)))))) 1)) B)
(/ (* x (- (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (* 2/945 (pow B 2)))))) 1)) B)
(/ (* x (- (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (* 2/945 (pow B 2)))))) 1)) B)
(/ (* x (- (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (* 2/945 (pow B 2)))))) 1)) B)
(/ (* x (- (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (* 2/945 (pow B 2)))))) 1)) B)
(/ (* x (- (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (* 2/945 (pow B 2)))))) 1)) B)
(/ (* x (- (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (* 2/945 (pow B 2)))))) 1)) B)
(/ (* x (- (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (* 2/945 (pow B 2)))))) 1)) B)
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(/ (* x (cos B)) (sin B))
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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 (+ (* 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 (/ (* 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))
(/ (- (* 1/3 (* (pow B 2) x)) x) B)
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x))))) x) B)
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))) 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)))

Outputs
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))))
(.f64 F (fma.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)))))) (.f64 (/.f64 (*.f64 F F) (sin.f64 B)) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (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)))))))))
(.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) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64))))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (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))))) (* (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)))))))))))
(.f64 F (fma.f64 F (.f64 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 F (.f64 F (fma.f64 (/.f64 (.f64 F F) (sin.f64 B)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 7 binary64)))) #s(literal -5/16 binary64)) (*.f64 #s(literal 3/8 binary64) (/.f64 (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))))
(/ 1 (sin B))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (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 (sin.f64 B) F) F)) (/.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))))
(fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 B) F) F)) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 (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 #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)))))
(fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 B) F) F)) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 (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 #s(literal -1/2 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 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal -3/4 binary64))) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 B) (pow.f64 F #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
(/ -1 (sin B))
(/.f64 #s(literal -1 binary64) (sin.f64 B))
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B)))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 B) F) F)) #s(literal 1/2 binary64) (/.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)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 B) F) F)) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 (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 #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)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 B) F) F)) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 (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 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal -3/4 binary64))) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 B) (pow.f64 F #s(literal 6 binary64))))) (/.f64 #s(literal -1 binary64) (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)))))
(+ (* -1 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(fma.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)))))) (.f64 (neg.f64 F) (/.f64 x (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))))))) (* (/ 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 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))))))) (.f64 (.f64 (.f64 #s(literal 3/2 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 5 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))))))))) (* (/ 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 x (fma.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 5 binary64)))) (.f64 (/.f64 F (sin.f64 B)) #s(literal 3/2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 7 binary64)))) (.f64 (/.f64 (.f64 F x) (sin.f64 B)) #s(literal -5/2 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)))))))
(* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))
(.f64 (/.f64 (.f64 F (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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))))
(fma.f64 (/.f64 (.f64 F (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (.f64 F (fma.f64 F F #s(literal 2 binary64))) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal 1/2 binary64))))))
(+ (* -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)))))
(fma.f64 (/.f64 (.f64 F (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 F (.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))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (.f64 F (fma.f64 F F #s(literal 2 binary64))) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal 1/2 binary64)))))))
(+ (* -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))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 F (.f64 (fma.f64 x (.f64 (/.f64 (.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/64 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 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))) (.f64 (sin.f64 B) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 (/.f64 (.f64 F (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 F (.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))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (.f64 F (fma.f64 F F #s(literal 2 binary64))) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal 1/2 binary64))))))))
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 F (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B))
(+ (* -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))))
(fma.f64 F (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 (.f64 (fma.f64 F F #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) F)) (.f64 (sin.f64 B) (sqrt.f64 #s(literal -1/2 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) #s(literal -1/8 binary64))))
(+ (* -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)))))
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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)))))
(neg.f64 (.f64 x (-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 (fma.f64 F (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (.f64 (.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal -1 binary64)) F)) (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)))) (.f64 (/.f64 (.f64 (fma.f64 F F #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) F)) (.f64 (sin.f64 B) (sqrt.f64 #s(literal -1/2 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) #s(literal -1/8 binary64))))) x))))
(/ (- (* 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)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) 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 x (.f64 (*.f64 B B) #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)))))))) x) 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) (fma.f64 (.f64 B 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))))) (neg.f64 (.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 (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) (fma.f64 (.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 (.f64 B B) (-.f64 (.f64 x #s(literal 2/945 binary64)) (.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 F #s(literal 1/840 binary64) (.f64 F #s(literal -7/2160 binary64))))) (.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 (.f64 F #s(literal -7/360 binary64)))))) (.f64 x #s(literal 1/3 binary64))))) x) B)
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin 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 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin 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 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin 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 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin 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 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin 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 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin 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 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin 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 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin 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 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B)))
(* F (sqrt (/ 1 (+ 2 (* 2 x)))))
(*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))))))
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(* 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)))))))))
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(* 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))))))))))
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1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1 binary64))
(+ 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)))))
(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 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal -3/4 binary64))) (pow.f64 F #s(literal 4 binary64)))) #s(literal 1 binary64))
(+ 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))))))
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-1
#s(literal -1 binary64)
(- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) 1)
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1 binary64))
(- (+ (* 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)
(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 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal -3/4 binary64))) (pow.f64 F #s(literal 4 binary64)))) #s(literal -1 binary64))
(- (+ (* 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)
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(* F (sqrt (/ 1 (+ 2 (pow F 2)))))
(*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))
(+ (* -1 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* F (sqrt (/ 1 (+ 2 (pow F 2))))))
(fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 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)))))) (.f64 (neg.f64 F) x)))
(+ (* 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))))))))
(fma.f64 x (-.f64 (.f64 (.f64 x (.f64 #s(literal 3/2 binary64) F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 5 binary64))))) (.f64 F (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 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
(+ (* 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))))))))))
(fma.f64 x (fma.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 5 binary64)))) (.f64 F #s(literal 3/2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 7 binary64)))) (.f64 (.f64 F x) #s(literal -5/2 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 F))) (.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
(* (* F (sqrt 1/2)) (sqrt (/ 1 x)))
(.f64 F (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x))))
(fma.f64 F (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 (.f64 F (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1/8 binary64))))
(+ (* -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 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (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 (/.f64 (.f64 F (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) #s(literal -1/8 binary64)))))
(+ (* -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))))))
(fma.f64 (/.f64 (.f64 F (fma.f64 x (.f64 (/.f64 (.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/64 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal -1/2 binary64)) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (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 (/.f64 (.f64 F (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1/8 binary64))))))
(* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 F (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)))
(+ (* -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))))
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(sqrt (+ 2 (* 2 x)))
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(+ (sqrt (+ 2 (* 2 x))) (* 1/2 (* (pow F 2) (sqrt (/ 1 (+ 2 (* 2 x)))))))
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F
(* F (+ 1 (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2)))))
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(* F (+ 1 (+ (* -1/8 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))))))
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(* 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)))))))
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(* -1 F)
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(sqrt (+ 2 (pow F 2)))
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(* (sqrt x) (sqrt 2))
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(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 2)))) (* (sqrt (/ 1 x)) (sqrt 2))))
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(* 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)))))
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(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
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(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))
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(* -1 (/ (* x (cos B)) (sin B)))
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(/ (+ (* -1/2 (/ (+ 2 (* 2 x)) B)) (* (pow F 2) (- (/ 1 B) (/ x B)))) (pow F 2))
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(- (/ 1 B) (/ x B))
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (/ 1 B)) (/ x B))
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(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (/ 1 B)) (/ x B))
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(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (/ 1 B)) (/ x B))
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(- (/ 1 B) (/ x B))
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(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (/ 1 B)) (/ x B))
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(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (/ 1 B)) (/ x B))
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(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (/ 1 B)) (/ x B))
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(/ (- (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) x) B)
(/.f64 (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)
(/ (- (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) x) B)
(/.f64 (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)
(/ (- (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) x) B)
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(/ (- (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) x) B)
(/.f64 (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)
(/ (- (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) x) B)
(/.f64 (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)
(/ (- (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) x) B)
(/.f64 (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)
(/ (- (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) x) B)
(/.f64 (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)
(/ (- (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) x) B)
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(* -1 (/ (+ (* -1 (- 1 x)) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) B))
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(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))
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(/.f64 (fma.f64 (.f64 B B) (.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 (neg.f64 (.f64 B B)) (.f64 F #s(literal -7/360 binary64)) (.f64 #s(literal 1/6 binary64) F))) (.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) 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)
(/.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 B (.f64 B (.f64 (.f64 B B) (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))))) (fma.f64 F #s(literal -7/360 binary64) (.f64 (.f64 B B) (fma.f64 F #s(literal 1/840 binary64) (.f64 F #s(literal -7/2160 binary64))))))))))) B)
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(*.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))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(*.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))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(*.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))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(*.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))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(*.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))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(*.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))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(*.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))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(*.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))))))
(* (/ 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)))))
(+ (* -1 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(fma.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)))))) (.f64 (neg.f64 F) (/.f64 x (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))))))) (* (/ 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 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))))))) (.f64 (.f64 (.f64 #s(literal 3/2 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 5 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))))))))) (* (/ 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 x (fma.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 5 binary64)))) (.f64 (/.f64 F (sin.f64 B)) #s(literal 3/2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 7 binary64)))) (.f64 (/.f64 (.f64 F x) (sin.f64 B)) #s(literal -5/2 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)))))))
(* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))
(.f64 (/.f64 (.f64 F (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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))))
(fma.f64 (/.f64 (.f64 F (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (.f64 F (fma.f64 F F #s(literal 2 binary64))) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal 1/2 binary64))))))
(+ (* -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)))))
(fma.f64 (/.f64 (.f64 F (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 F (.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))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (.f64 F (fma.f64 F F #s(literal 2 binary64))) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal 1/2 binary64)))))))
(+ (* -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))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 F (.f64 (fma.f64 x (.f64 (/.f64 (.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/64 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 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))) (.f64 (sin.f64 B) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 (/.f64 (.f64 F (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 F (.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))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (.f64 F (fma.f64 F F #s(literal 2 binary64))) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal 1/2 binary64))))))))
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 F (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B))
(+ (* -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))))
(fma.f64 F (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 (.f64 (fma.f64 F F #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) F)) (.f64 (sin.f64 B) (sqrt.f64 #s(literal -1/2 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) #s(literal -1/8 binary64))))
(+ (* -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)))))
(fma.f64 F (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (.f64 (.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal -1 binary64)) F)) (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)))) (.f64 (/.f64 (.f64 (fma.f64 F F #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) F)) (.f64 (sin.f64 B) (sqrt.f64 #s(literal -1/2 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1/8 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 F (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 (.f64 (fma.f64 F F #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) F)) (.f64 (sin.f64 B) (sqrt.f64 #s(literal -1/2 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1/8 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/64 binary64) x) (/.f64 (.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))) (.f64 (sqrt.f64 #s(literal -1 binary64)) F)) (.f64 (sin.f64 B) (sqrt.f64 #s(literal -1/2 binary64))))) (.f64 (/.f64 (.f64 (.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal -1 binary64)) F)) (.f64 (sin.f64 B) (sqrt.f64 #s(literal -1/2 binary64)))) (.f64 (sqrt.f64 x) #s(literal -1/16 binary64)))) (.f64 x (.f64 x x))))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(* -1 (/ x B))
(/.f64 (neg.f64 x) B)
(/ (- (* 1/3 (* (pow B 2) x)) x) B)
(/.f64 (.f64 x (fma.f64 #s(literal 1/3 binary64) (.f64 B B) #s(literal -1 binary64))) B)
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x))))) x) B)
(/.f64 (fma.f64 (.f64 B B) (.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (neg.f64 x)) B)
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))) x) B)
(/.f64 (fma.f64 (.f64 B B) (fma.f64 B (.f64 B (.f64 x (fma.f64 (.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) B)
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))

rewrite331.0ms (2.1%)

Memory

0.0MiB live, 412.4MiB allocated

Rules

5 144×	`lower-*.f32`
5 124×	`lower-*.f64`
4 912×	`lower-fma.f32`
4 890×	`lower-fma.f64`
2 482×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	598
0	135	540
1	575	492
2	4813	491
0	8118	487

Stop Event

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

Counts

26 → 472

Calls

Call 1

Inputs
(/.f64 (/.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 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 x (tan.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)
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (.f64 F F) B)) (/.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 (.f64 F F) B)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
#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 (.f64 F F) B)) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))
(/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (.f64 F F) 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 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (neg.f64 x)) B))
(/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (neg.f64 x)) B)
(fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (neg.f64 x))
#s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(fma.f64 x #s(literal 1/105 binary64) (.f64 (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))
(/.f64 (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (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 1/45 binary64))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) B)
(fma.f64 (.f64 B B) (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 1/45 binary64)))
(.f64 (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))
(/.f64 x (tan.f64 B))
(.f64 (.f64 F F) B)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#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)))) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (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 1/45 binary64))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) B))

Outputs
(exp.f64 (.f64 (log.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)))
(neg.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))))
(neg.f64 (/.f64 (/.f64 (neg.f64 F) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (sin.f64 B)))
(/.f64 F (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F) (sin.f64 B)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B)) F))
(/.f64 #s(literal 1 binary64) (/.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 (/.f64 F (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 (sin.f64 B) F))
(/.f64 (/.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))))) (neg.f64 (neg.f64 (sin.f64 B))))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F) (neg.f64 (sin.f64 B))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(/.f64 (neg.f64 F) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))))
(/.f64 (neg.f64 F) (*.f64 (sin.f64 B) (neg.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(/.f64 (/.f64 (neg.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 (.f64 F #s(literal 1 binary64)) (.f64 (sqrt.f64 (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 (neg.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (sin.f64 B)))
(/.f64 (*.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) #s(literal 1 binary64)) (sin.f64 B))
(/.f64 (.f64 F #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 (.f64 (neg.f64 F) #s(literal -1 binary64)) (.f64 (neg.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 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))))) #s(literal -1 binary64)) (neg.f64 (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 F) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (neg.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 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))
(pow.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F) (sin.f64 B)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B)) F) #s(literal -1 binary64))
(pow.f64 (/.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)) #s(literal -1 binary64))
(.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)))) (sin.f64 B))))
(.f64 F (.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) (sin.f64 B))))
(.f64 F (.f64 (/.f64 #s(literal 1 binary64) (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 F (/.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 #s(literal 1 binary64) (/.f64 F (.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))))
(*.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 (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 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 #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 (neg.f64 F) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (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 (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 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(.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 (pow.f64 (/.f64 (sin.f64 B) (neg.f64 F)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(+.f64 (/.f64 F (*.f64 (sqrt.f64 (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))))
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 F (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))))
(-.f64 (/.f64 F (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 x (tan.f64 B)) (/.f64 F (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B)))))
(-.f64 (/.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (-.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 F (.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))))) (/.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (.f64 F F)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) B))))) (-.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 F (.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))))))
(-.f64 (/.f64 (/.f64 (.f64 F (tan.f64 B)) (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 x (sin.f64 B)) (.f64 (sin.f64 B) (tan.f64 B))))
(-.f64 (/.f64 (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 -3 binary64)) (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 F (.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) (/.f64 x (tan.f64 B))) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (.f64 F F)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) B))))))) (/.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)) (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 F (.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) (/.f64 x (tan.f64 B))) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (.f64 F F)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))))))
(-.f64 (/.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (.f64 F F)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) B))))) (+.f64 (/.f64 F (.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) (/.f64 x (tan.f64 B)))) (/.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (+.f64 (/.f64 F (.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) (/.f64 x (tan.f64 B)))))
(-.f64 (+.f64 (/.f64 F (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) #s(literal 0 binary64)) (/.f64 x (tan.f64 B)))
(fma.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)))) (sin.f64 B))) (neg.f64 (/.f64 x (tan.f64 B))))
(fma.f64 F (*.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) (sin.f64 B))) (neg.f64 (/.f64 x (tan.f64 B))))
(fma.f64 F (*.f64 (/.f64 #s(literal 1 binary64) (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 F (/.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 x (/.f64 #s(literal -1 binary64) (tan.f64 B)) (/.f64 F (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))))
(fma.f64 (/.f64 x (tan.f64 B)) #s(literal -1 binary64) (/.f64 F (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))))
(fma.f64 #s(literal 1 binary64) (/.f64 F (*.f64 (sqrt.f64 (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 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) (/.f64 F (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.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))))) (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 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 (neg.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 F (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))))
(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 #s(literal -1 binary64) (/.f64 x (tan.f64 B)) (/.f64 F (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))))
(fma.f64 (/.f64 (neg.f64 F) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 B))) (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 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))))
(fma.f64 (*.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) #s(literal 1 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 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.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 (pow.f64 (/.f64 (sin.f64 B) (neg.f64 F)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (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 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 F (.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) (-.f64 (/.f64 F (.f64 (sqrt.f64 (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)))) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))) (-.f64 (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 -3 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)))))
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(pow.f64 (/.f64 (fma.f64 B (.f64 B (.f64 x #s(literal 2/945 binary64))) (.f64 #s(literal -1/45 binary64) x)) (.f64 (fma.f64 B (.f64 B (.f64 x #s(literal 2/945 binary64))) (.f64 x #s(literal 1/45 binary64))) (fma.f64 B (.f64 B (.f64 x #s(literal 2/945 binary64))) (.f64 #s(literal -1/45 binary64) x)))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 (.f64 B B) B) (.f64 (.f64 (.f64 B B) B) (.f64 (.f64 x (.f64 x x)) #s(literal 8/843908625 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/91125 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 B (.f64 (.f64 B (.f64 x #s(literal 2/945 binary64))) (.f64 B (.f64 B (.f64 x #s(literal 2/945 binary64))))) (.f64 (.f64 x #s(literal 1/45 binary64)) (-.f64 (.f64 x #s(literal 1/45 binary64)) (.f64 B (.f64 B (.f64 x #s(literal 2/945 binary64)))))))))
(.f64 (.f64 (fma.f64 B (.f64 B (.f64 x #s(literal 2/945 binary64))) (.f64 x #s(literal 1/45 binary64))) (fma.f64 B (.f64 B (.f64 x #s(literal 2/945 binary64))) (.f64 #s(literal -1/45 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 B (.f64 B (.f64 x #s(literal 2/945 binary64))) (*.f64 #s(literal -1/45 binary64) x))))
(*.f64 x #s(literal -1/135 binary64))
(.f64 #s(literal 1/45 binary64) (.f64 x #s(literal -1/3 binary64)))
(.f64 (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))
(.f64 #s(literal -1/3 binary64) (.f64 x #s(literal 1/45 binary64)))
(*.f64 #s(literal -1/135 binary64) x)
(.f64 (.f64 #s(literal -1/3 binary64) x) #s(literal 1/45 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 B) x)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (tan.f64 B))) (neg.f64 (/.f64 x (tan.f64 B))))
(neg.f64 (neg.f64 (/.f64 x (tan.f64 B))))
(/.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 (neg.f64 x) (neg.f64 (tan.f64 B)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (tan.f64 B) x)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (tan.f64 B))))
(pow.f64 (/.f64 (tan.f64 B) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (tan.f64 B) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(*.f64 #s(literal 1 binary64) (/.f64 x (tan.f64 B)))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) x)
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 B)))
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (tan.f64 B))))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(.f64 F (.f64 F B))
(.f64 B (.f64 F F))
(.f64 (.f64 F F) B)
(.f64 (.f64 F B) F)
(exp.f64 (.f64 (.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (*.f64 x x)))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 x (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (.f64 x (.f64 x x))) #s(literal 1 binary64)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (.f64 x (.f64 x x)))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (.f64 x (.f64 x x)))))
(pow.f64 x #s(literal -3/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(pow.f64 (.f64 x (.f64 x x)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -3 binary64))
(pow.f64 (sqrt.f64 (.f64 x (.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (.f64 x (.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (.f64 x x) #s(literal -1/2 binary64)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 (.f64 x x)) #s(literal -1 binary64)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) #s(literal 1 binary64))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (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 (.f64 x (*.f64 x x)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal -3/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 x x))) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 (.f64 x (*.f64 x x))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 x x)) #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 (.f64 x (*.f64 x x)))) (fma.f64 F F #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 (.f64 x (.f64 x x)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 F F #s(literal 2 binary64))))
(/.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 (.f64 x (*.f64 x x)))) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 (.f64 x (*.f64 x x)))) (fma.f64 F F #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 (.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 F F #s(literal 2 binary64))))
(/.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 (.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 F F #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 (.f64 x (*.f64 x x))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 F F #s(literal 2 binary64))))
(/.f64 (.f64 (neg.f64 (fma.f64 F F #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 (.f64 x (*.f64 x x))))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 (.f64 x (*.f64 x x)))) (fma.f64 F F #s(literal 2 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 x (*.f64 x x))) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 #s(literal -1/8 binary64) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 (.f64 x (*.f64 x x)))) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (fma.f64 F F #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 (.f64 x (.f64 x x))))))
(.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 (.f64 x (*.f64 x x)))))
(.f64 (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 x (*.f64 x x))) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64))
(.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 (.f64 x (.f64 x x)))) (fma.f64 F F #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
#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)))) (/.f64 (-.f64 (.f64 (.f64 B B) (fma.f64 B (.f64 B (fma.f64 B (.f64 B (.f64 x #s(literal 2/945 binary64))) (.f64 x #s(literal 1/45 binary64)))) (*.f64 x #s(literal 1/3 binary64)))) x) B))

eval175.0ms (1.1%)

Memory: 41.3MiB live, 417.5MiB allocated
Compiler: Compiled 43 028 to 2 896 computations (93.3% saved)

prune516.0ms (3.2%)

Memory

-2.5MiB live, 558.0MiB allocated

Pruning

67 alts after pruning (65 fresh and 2 done)

	Pruned	Kept	Total
New	1 183	34	1 217
Fresh	16	31	47
Picked	4	1	5
Done	0	1	1
Total	1 203	67	1 270

Accuracy

100.0%

Counts

1 270 → 67

Alt Table

Click to see full alt table

Status	Accuracy	Program
	80.8%	(fma.f64 (pow.f64 (/.f64 (sin.f64 B) (neg.f64 F)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 (/.f64 x (tan.f64 B))))
	53.2%	(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
	58.4%	(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))) #s(approx (/ (neg x) (tan B)) (/.f64 (neg.f64 x) B)))
	87.5%	(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 F (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))))
	80.6%	(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (pow.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -1/8 binary64)) #s(literal 4 binary64))))
	46.8%	(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ ( 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) F))))
	52.3%	(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -1/2)) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
▶	68.1%	(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -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))))
	80.6%	(fma.f64 (.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (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))))
	58.5%	(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (sin.f64 B)) #s(approx (/ x (tan B)) (/.f64 x B)))
	87.2%	(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
	53.3%	(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) #s(literal 1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
	52.4%	(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
▶	87.7%	(-.f64 (/.f64 F (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) (/.f64 x (tan.f64 B)))
	68.3%	(-.f64 #s(approx (/ (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (sin B)) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (/.f64 x (tan.f64 B)))
	53.3%	(+.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (tan.f64 B) x))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
	55.3%	(+.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 B (.f64 (.f64 B B) #s(literal -1/6 binary64)) B)))))
	35.8%	(+.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)))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B))))
	54.2%	(+.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))))
	34.7%	(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
	40.4%	(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (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 1/45 binary64))) (.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) B)) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))))
	29.2%	(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (.f64 B B) (fma.f64 B (.f64 B (.f64 x (fma.f64 (.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) B)) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
	29.2%	(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) #s(approx (/ (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/105) (* (* x 1/45) -1/3))) (* x 1/45))) (* x 1/3))) (neg x)) B) (neg.f64 (/.f64 (fma.f64 (.f64 B B) (.f64 (fma.f64 (.f64 B B) (fma.f64 B (.f64 B #s(literal -2/945 binary64)) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)) x) x) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
	46.8%	#s(approx (- (/ (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (sin B)) (/ 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 x (.f64 (*.f64 B B) #s(literal 1/3 binary64)))) x) B))
	57.7%	#s(approx (- (/ (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (sin B)) (/ x (tan B))) (/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B)))
	29.2%	#s(approx (- (/ (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (sin B)) (/ x (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
	52.3%	#s(approx (+ (* (/ 1 (sin B)) (* F (pow (+ (* 2 x) (+ (* F F) 2)) -1/2))) (/ (neg x) (tan B))) (fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
	34.0%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.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)))) (neg.f64 (.f64 x x))) (*.f64 B (+.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) x))))
	46.8%	#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))
▶	14.5%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))) F (neg.f64 x)) B))
✓	46.8%	#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 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B))
	28.7%	#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 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 #s(literal -1 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 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 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))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (neg.f64 x)) B))
▶	46.6%	#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))
	25.6%	#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) (*.f64 F F)))) (neg.f64 x)) B))
	18.8%	#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))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B))
	28.5%	#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 F F) (.f64 #s(literal -1/2 binary64) (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))
	17.0%	#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 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(approx (* (* -1/8 (sqrt (/ 1 (* x (* x x))))) (/ (+ (* F F) 2) (sqrt 1/2))) (.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 #s(literal 1/2 binary64))))))) (neg.f64 x)) B))
	29.0%	#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))
	46.8%	#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))
	33.7%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) B) (.f64 B x)) (*.f64 B B)))
	19.7%	#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))
	26.3%	#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))
	14.6%	#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)) (/.f64 (neg.f64 (.f64 x (.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) B))
	28.7%	#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))
▶	29.1%	#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))
	19.1%	#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 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B))
✓	29.5%	#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))
	29.4%	#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)))))
	29.4%	#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) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))) #s(literal -1 binary64))))
	29.4%	#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) #s(approx (+ ( F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))))
	30.7%	#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))))
	24.7%	#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 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 F (.f64 F B))) #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
	21.5%	#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) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
	24.7%	#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 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F B)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
	31.1%	#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) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F B) (/.f64 (neg.f64 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) (fma.f64 F (fma.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)))))) (.f64 (/.f64 (.f64 F F) B) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) B)) (/.f64 (neg.f64 x) B))))
	18.9%	#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 (.f64 F F) B)) (/.f64 (-.f64 #s(literal -1 binary64) x) B))))
	24.7%	#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 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (*.f64 F B)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
	23.0%	#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) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 F (.f64 F B)))) (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
	24.6%	#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) #s(approx (/ (+ (* x 2) 2) (* (* F F) B)) (/.f64 (.f64 #s(literal 2 binary64) x) (.f64 B (*.f64 F F)))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
	25.5%	#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) (fma.f64 #s(literal -1/2 binary64) #s(approx (/ (+ (* x 2) 2) (* (* F F) B)) (/.f64 #s(literal 2 binary64) (.f64 B (.f64 F F)))) (/.f64 (-.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 (/ (+ (* 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))))
	8.1%	#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) #s(approx (+ (* -1/2 (/ (+ (* x 2) 2) (* (* F F) B))) (/ (- 1 x) B)) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64) #s(literal -1 binary64)) (.f64 B (*.f64 F F))))))
	13.3%	#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 (+ (* -1/2 (/ (+ (* x 2) 2) (* (* F F) B))) (/ (- 1 x) B)) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal -1 binary64) (.f64 B (.f64 F F)))))))
	18.2%	#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) #s(approx (+ (* -1/2 (/ (+ (* x 2) 2) (* (* F F) B))) (/ (- 1 x) B)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) (.f64 B (*.f64 F F)))) (neg.f64 x)))))
	21.6%	#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) #s(approx (+ (* -1/2 (/ (+ (* x 2) 2) (* (* F F) B))) (/ (- 1 x) B)) (.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 B x)) (/.f64 #s(literal -1 binary64) B)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 B (.f64 F F))) (/.f64 #s(literal 1 binary64) (.f64 B (.f64 F (*.f64 F x))))))))))

Compiler

Compiled 2 925 to 1 717 computations (41.3% saved)

simplify418.0ms (2.6%)

Memory

-20.6MiB live, 212.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (* (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -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)))
cost-diff	0	(tan.f64 B)
cost-diff	0	(/.f64 #s(literal -1 binary64) (tan.f64 B))
cost-diff	192	(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -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))))
cost-diff	0	(fma.f64 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))) F (neg.f64 x))
cost-diff	0	(/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))) F (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 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))) F (neg.f64 x)) B))
cost-diff	320	(*.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))
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	(-.f64 #s(literal -1 binary64) x)
cost-diff	0	#s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x))
cost-diff	0	(/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) 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)) (-.f64 #s(literal -1 binary64) 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 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))
cost-diff	0	(/.f64 F (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B)))
cost-diff	0	(-.f64 (/.f64 F (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) (/.f64 x (tan.f64 B)))

Rules

4 870×	`lower-fma.f32`
4 854×	`lower-fma.f64`
2 716×	`lower-*.f32`
2 704×	`lower-*.f64`
1 338×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	77	691
0	121	651
1	201	642
2	320	641
3	563	641
4	1016	641
5	1895	641
6	2618	641
7	3870	641
8	5430	641
9	6758	641
0	8047	641

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (/.f64 F (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(/.f64 F (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B)))
F
(*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 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
(sin.f64 B)
B
(/.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))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
(/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)
#s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal -1 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))))) (/.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))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))) F (neg.f64 x)) B))
(/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))) F (neg.f64 x)) B)
(fma.f64 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))) F (neg.f64 x))
#s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x))))
(fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))
#s(literal -1/8 binary64)
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (sqrt.f64 #s(literal 1/2 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))
F
#s(literal 2 binary64)
(.f64 (sqrt.f64 (.f64 x (*.f64 x x))) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 x (.f64 x x)))
(.f64 x (.f64 x x))
x
(*.f64 x x)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
(neg.f64 x)
B
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -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 #s(literal -1 binary64) (tan.f64 B))
#s(literal -1 binary64)
(tan.f64 B)
B
x
#s(approx (* (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -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 (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))
(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)))
#s(literal 2 binary64)
(fma.f64 F F #s(literal 2 binary64))
F
(/.f64 F B)

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

localize301.0ms (1.9%)

Memory

7.7MiB live, 229.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3209145904267505	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))
accuracy	2.9549416031295666	(*.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))
accuracy	7.856435071405483	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))
accuracy	16.878371584453586	#s(approx (* (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -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)))
accuracy	3.8385049565403357	(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (sqrt.f64 #s(literal 1/2 binary64))))
accuracy	11.713010998324014	(sqrt.f64 (.f64 x (.f64 x x)))
accuracy	17.91511882960729	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))) F (neg.f64 x)) B))
accuracy	25.91723057087056	#s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x))))
accuracy	0.3209145904267505	(/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))
accuracy	7.856435071405483	(sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))
accuracy	12.43080739040903	#s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))
accuracy	17.91511882960729	#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	(-.f64 #s(literal -1 binary64) x)
accuracy	0.01171875	(/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)
accuracy	15.307176248436383	#s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x))
accuracy	17.91511882960729	#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))
accuracy	0.078125	(/.f64 x (tan.f64 B))
accuracy	0.09765625	(*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))
accuracy	0.13671875	(/.f64 F (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B)))
accuracy	8.178972377151702	(sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))

Samples

150.0ms	154×	0	valid
81.0ms	102×	0	invalid

Compiler

Compiled 536 to 65 computations (87.9% saved)

Precisions

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

ival-mult: 87.0ms (51.8% of total)

ival-div: 34.0ms (20.2% of total)

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

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

ival-sqrt: 8.0ms (4.8% of total)

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

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

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

ival-sub: 2.0ms (1.2% of total)

exact: 1.0ms (0.6% of total)

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

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

series71.0ms (0.4%)

Memory

-0.6MiB live, 37.9MiB allocated

Counts

29 → 768

Calls

Call 1

Inputs
#<alt (-.f64 (/.f64 F (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) (/.f64 x (tan.f64 B)))>
#<alt (/.f64 F (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B)))>
#<alt (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))>
#<alt (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))>
#<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)) (-.f64 #s(literal -1 binary64) x)) B))>
#<alt (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)>
#<alt #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x))>
#<alt (-.f64 #s(literal -1 binary64) x)>
#<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))>
#<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)>
#<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))>
#<alt (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))>
#<alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))) F (neg.f64 x)) B))>
#<alt (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))) F (neg.f64 x)) B)>
#<alt (fma.f64 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))) F (neg.f64 x))>
#<alt (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -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))))>
#<alt (/.f64 #s(literal -1 binary64) (tan.f64 B))>
#<alt (tan.f64 B)>
#<alt #s(approx (* (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -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)))>
#<alt (/.f64 x (tan.f64 B))>
#<alt #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))>
#<alt #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x))))>
#<alt (sqrt.f64 (.f64 x (.f64 x x)))>
#<alt (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))>
#<alt (*.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))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))>

Outputs
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B)))>
#<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)))>
#<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)))>
#<alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))>
#<alt (- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) (/ (* x (cos B)) (sin B)))>
#<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)))>
#<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)))>
#<alt (* -1 (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B))))>
#<alt (- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B))))>
#<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))))>
#<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))))>
#<alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B))))>
#<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))))>
#<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))))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))))>
#<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)))))>
#<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)))))>
#<alt (/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)>
#<alt (/ (- (+ (* 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)>
#<alt (/ (- (+ (* 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)>
#<alt (/ (- (+ (* 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)>
#<alt (- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))>
#<alt (- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))>
#<alt (- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))>
#<alt (- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))>
#<alt (- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))>
#<alt (- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))>
#<alt (- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))>
#<alt (- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))>
#<alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))>
#<alt (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))))>
#<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)))))))))>
#<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))))) (* (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)))))))))))>
#<alt (/ 1 (sin B))>
#<alt (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B)))>
#<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))))>
#<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)))))>
#<alt (/ -1 (sin B))>
#<alt (- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B)))>
#<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)))>
#<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)))>
#<alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))>
#<alt (+ (* -1 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))>
#<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))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))>
#<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))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))>
#<alt (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))>
#<alt (+ (* -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))))>
#<alt (+ (* -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)))))>
#<alt (+ (* -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))))))>
#<alt (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))>
#<alt (+ (* -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))))>
#<alt (+ (* -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)))))>
#<alt (+ (* -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)))))>
#<alt (* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))>
#<alt (/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B)>
#<alt (/ (+ (* 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)>
#<alt (/ (+ (* 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)>
#<alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))>
#<alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))>
#<alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))>
#<alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))>
#<alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))>
#<alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))>
#<alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))>
#<alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))>
#<alt (* (sin B) (sqrt (+ 2 (* 2 x))))>
#<alt (+ (* 1/2 (* (* (pow F 2) (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) (* (sin B) (sqrt (+ 2 (* 2 x)))))>
#<alt (+ (* (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)))))))))>
#<alt (+ (* (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))))))))))>
#<alt (* F (sin B))>
#<alt (* F (+ (sin B) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2)))))>
#<alt (* 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))))))>
#<alt (* 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)))))))>
#<alt (* -1 (* F (sin B)))>
#<alt (* -1 (* F (+ (sin B) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2))))))>
#<alt (* -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)))))))>
#<alt (* -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))))))))>
#<alt (* (sin B) (sqrt (+ 2 (pow F 2))))>
#<alt (+ (* (sin B) (sqrt (+ 2 (pow F 2)))) (* (* x (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))>
#<alt (+ (* 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)))))>
#<alt (+ (* 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)))))>
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#<alt (+ (* -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))))>
#<alt (+ (* -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)))))>
#<alt (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))>
#<alt (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))>
#<alt (+ (* -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)))))>
#<alt (+ (* -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)))))>
#<alt (sqrt (/ 1 (+ 2 (* 2 x))))>
#<alt (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))>
#<alt (+ (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))))))))>
#<alt (+ (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)))))))))>
#<alt (/ 1 F)>
#<alt (/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F)>
#<alt (/ (+ 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)>
#<alt (/ (+ 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)>
#<alt (/ -1 F)>
#<alt (* -1 (/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F))>
#<alt (* -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))>
#<alt (* -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))>
#<alt (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))>
#<alt (+ (* -1 (* (/ (* F x) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2))))))>
#<alt (+ (* x (+ (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2))))))>
#<alt (+ (* x (+ (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2))))))>
#<alt (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 x)))>
#<alt (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 x))))>
#<alt (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 x)))))>
#<alt (+ (* -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)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 x))))))>
#<alt (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x)))>
#<alt (+ (* -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))))>
#<alt (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x)))))>
#<alt (+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* 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))))) (* B (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -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)))))>
#<alt (* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x)))))>
#<alt (* F (+ (* -1/2 (* (/ (pow F 2) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x)))))))>
#<alt (* F (+ (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))>
#<alt (* F (+ (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))))>
#<alt (/ 1 B)>
#<alt (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (/ 1 B))>
#<alt (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (/ 1 B)))>
#<alt (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (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)) (* B (pow F 6)))) (/ 1 B))))>
#<alt (/ -1 B)>
#<alt (- (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (/ 1 B))>
#<alt (- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4))))) (/ 1 B))>
#<alt (- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (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)) (* B (pow F 6)))))) (/ 1 B))>
#<alt (* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))>
#<alt (* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))>
#<alt (* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))>
#<alt (* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))>
#<alt (* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))>
#<alt (* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))>
#<alt (* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))>
#<alt (* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))>
#<alt (* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))>
#<alt (* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))>
#<alt (* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))>
#<alt (* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))>
#<alt (/ 1 (+ 2 (pow F 2)))>
#<alt (+ (* -2 (/ x (pow (+ 2 (pow F 2)) 2))) (/ 1 (+ 2 (pow F 2))))>
#<alt (+ (* x (- (* 4 (/ x (pow (+ 2 (pow F 2)) 3))) (* 2 (/ 1 (pow (+ 2 (pow F 2)) 2))))) (/ 1 (+ 2 (pow F 2))))>
#<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))))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* -1/4 (/ (+ 2 (pow F 2)) x))) x)>
#<alt (/ (- (+ 1/2 (* 1/8 (/ (pow (+ 2 (pow F 2)) 2) (pow x 2)))) (* 1/4 (/ (+ 2 (pow F 2)) x))) x)>
#<alt (/ (- (+ 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)>
#<alt (/ 1/2 x)>
#<alt (* -1 (/ (- (* 1/4 (/ (+ 2 (pow F 2)) x)) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (+ 2 (pow F 2)) 2) x)) (* 1/4 (+ 2 (pow F 2)))) x)) 1/2) x))>
#<alt (* -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))>
#<alt (/ 1 (+ 2 (* 2 x)))>
#<alt (+ (* -1 (/ (pow F 2) (pow (+ 2 (* 2 x)) 2))) (/ 1 (+ 2 (* 2 x))))>
#<alt (+ (* (pow F 2) (- (/ (pow F 2) (pow (+ 2 (* 2 x)) 3)) (/ 1 (pow (+ 2 (* 2 x)) 2)))) (/ 1 (+ 2 (* 2 x))))>
#<alt (+ (* (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))))>
#<alt (/ 1 (pow F 2))>
#<alt (/ (+ 1 (* -1 (/ (+ 2 (* 2 x)) (pow F 2)))) (pow F 2))>
#<alt (/ (- (+ 1 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))) (pow F 2))>
#<alt (/ (- (+ 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))>
#<alt (/ 1 (pow F 2))>
#<alt (/ (+ 1 (* -1 (/ (+ 2 (* 2 x)) (pow F 2)))) (pow F 2))>
#<alt (/ (- (+ 1 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))) (pow F 2))>
#<alt (/ (- (+ 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))>

Calls

192 calls:

Time	Variable		Point	Expression
12.0ms	B	@	inf	(* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/ F B))
1.0ms	x	@	-inf	(/ (* 1 (+ (* F F) 2)) (* (sqrt (* x (* x x))) (sqrt 1/2)))
1.0ms	x	@	-inf	(* (sqrt (+ (* F F) (+ (* 2 x) 2))) (sin B))
1.0ms	x	@	inf	(* (sqrt (+ (* F F) (+ (* 2 x) 2))) (sin B))
1.0ms	B	@	0	(* (sqrt (+ (* F F) (+ (* 2 x) 2))) (sin B))

simplify379.0ms (2.4%)

Memory

23.7MiB live, 404.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 618×	`lower-fma.f64`
9 618×	`lower-fma.f32`
6 558×	`lower-+.f64`
6 558×	`lower-+.f32`
6 364×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1144	23048
1	3654	22464
0	8398	20476

Stop Event

1×	iter limit
1×	node limit

Counts

768 → 766

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

rewrite342.0ms (2.1%)

Memory

-11.9MiB live, 469.8MiB allocated

Rules

3 936×	`lower-fma.f32`
3 920×	`lower-fma.f64`
3 910×	`lower-/.f32`
3 888×	`lower-/.f64`
3 588×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	77	577
0	121	534
1	472	508
2	3488	508
0	8726	508

Stop Event

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

Counts

29 → 739

Calls

Call 1

Inputs
(-.f64 (/.f64 F (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(/.f64 F (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B)))
(*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))
(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)) (-.f64 #s(literal -1 binary64) x)) B))
(/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)
#s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal -1 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 #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)))))
(*.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 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))) F (neg.f64 x)) B))
(/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))) F (neg.f64 x)) B)
(fma.f64 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))) F (neg.f64 x))
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -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 #s(literal -1 binary64) (tan.f64 B))
(tan.f64 B)
#s(approx (* (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -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 x (tan.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)))
#s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x))))
(sqrt.f64 (.f64 x (.f64 x x)))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))
(*.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 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))

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

eval254.0ms (1.6%)

Memory: 16.8MiB live, 525.3MiB allocated
Compiler: Compiled 54 401 to 4 071 computations (92.5% saved)

prune313.0ms (1.9%)

Memory

-23.9MiB live, 579.2MiB allocated

Pruning

78 alts after pruning (73 fresh and 5 done)

	Pruned	Kept	Total
New	1 502	33	1 535
Fresh	20	40	60
Picked	2	3	5
Done	0	2	2
Total	1 524	78	1 602

Accuracy

100.0%

Counts

1 602 → 78

Alt Table

Click to see full alt table

Status	Accuracy	Program
	80.8%	(fma.f64 (pow.f64 (/.f64 (sin.f64 B) (neg.f64 F)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 (/.f64 x (tan.f64 B))))
	53.2%	(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
	87.5%	(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 F (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))))
	80.6%	(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (pow.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -1/8 binary64)) #s(literal 4 binary64))))
	46.8%	(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ ( 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) F))))
	52.3%	(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -1/2)) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
	53.3%	(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -1/2)) (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (/.f64 F B))))
	48.6%	(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -1/2)) (.f64 #s(approx (sqrt (/ 1 (+ ( x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (/.f64 F B))))
	54.2%	(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -1/2)) #s(approx (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/ F B)) (/.f64 #s(literal 1 binary64) B))))
	54.7%	(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -1/2)) #s(approx (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/ F B)) (/.f64 #s(literal -1 binary64) B))))
	40.3%	(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (tan B) (fma.f64 B (.f64 (.f64 B B) #s(literal 1/3 binary64)) B))) x #s(approx (* (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -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))))
	40.5%	(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (tan B) (.f64 B (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64))))) x #s(approx ( (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -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))))
	80.6%	(fma.f64 (.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (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))))
	40.3%	(fma.f64 #s(approx (/ -1 (tan B)) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (.f64 B 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)) x #s(approx ( (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -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))))
	40.2%	(fma.f64 #s(approx (/ -1 (tan 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)) x #s(approx (* (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -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))))
	40.3%	(fma.f64 #s(approx (/ -1 (tan B)) (/.f64 (fma.f64 (.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)) B)) x #s(approx ( (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -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))))
	87.2%	(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
	53.3%	(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) #s(literal 1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
	52.4%	(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
✓	87.7%	(-.f64 (/.f64 F (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) (/.f64 x (tan.f64 B)))
	58.5%	(-.f64 (/.f64 F (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B)))
	87.2%	(-.f64 (/.f64 F (.f64 #s(approx (sqrt (+ ( F F) (+ (* 2 x) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B))) (/.f64 x (tan.f64 B)))
	75.1%	(-.f64 (/.f64 F #s(approx (* (sqrt (+ (* F F) (+ (* 2 x) 2))) (sin B)) (*.f64 B (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) (/.f64 x (tan.f64 B)))
	53.3%	(+.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (tan.f64 B) x))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
	55.3%	(+.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 B (.f64 (.f64 B B) #s(literal -1/6 binary64)) B)))))
	35.8%	(+.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)))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B))))
	54.2%	(+.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))))
	34.7%	(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
	40.4%	(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (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 1/45 binary64))) (.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) B)) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))))
	29.2%	(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (.f64 B B) (fma.f64 B (.f64 B (.f64 x (fma.f64 (.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) B)) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
	29.2%	(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) #s(approx (/ (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/105) (* (* x 1/45) -1/3))) (* x 1/45))) (* x 1/3))) (neg x)) B) (neg.f64 (/.f64 (fma.f64 (.f64 B B) (.f64 (fma.f64 (.f64 B B) (fma.f64 B (.f64 B #s(literal -2/945 binary64)) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)) x) x) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
	46.8%	#s(approx (- (/ (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (sin B)) (/ 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 x (.f64 (*.f64 B B) #s(literal 1/3 binary64)))) x) B))
	57.7%	#s(approx (- (/ (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (sin B)) (/ x (tan B))) (/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B)))
	29.2%	#s(approx (- (/ (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (sin B)) (/ x (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
	52.3%	#s(approx (- (/ F (* (sqrt (+ (* F F) (+ (* 2 x) 2))) (sin B))) (/ x (tan B))) (fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
	47.3%	#s(approx (- (/ F (* (sqrt (+ (* F F) (+ (* 2 x) 2))) (sin B))) (/ x (tan 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))))) (fma.f64 (.f64 B B) (fma.f64 (.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B))
	33.8%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (.f64 F F) #s(approx (/ 1 (+ ( x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (neg.f64 (.f64 x x))) (.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))))) x))))
	28.5%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #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)))))) F (neg.f64 x)) B))
	15.1%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (.f64 x (sqrt.f64 (.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))) F (neg.f64 x)) B))
	17.0%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 #s(approx (* 1 (+ (* F F) 2)) #s(literal 2 binary64)) (.f64 (sqrt.f64 (.f64 x (*.f64 x x))) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))) F (neg.f64 x)) B))
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Compiler

Compiled 4 749 to 1 520 computations (68% saved)

regimes234.0ms (1.5%)

Memory

-8.2MiB live, 431.9MiB allocated

Counts

144 → 3

Calls

Call 1

Inputs
#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)) #s(approx (- -1 x) #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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) F) (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 (/.f64 #s(literal 1 binary64) 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))))) (/.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))))) (/.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 (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 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) F (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 (+ (* -1/2 (/ (+ (* x 2) 2) (* (* F F) B))) (/ (- 1 x) B)) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64) #s(literal -1 binary64)) (.f64 B (*.f64 F F))))))
#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 (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) #s(approx (+ (* -1/2 (/ (+ (* x 2) 2) (* (* F F) B))) (/ (- 1 x) B)) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal -1 binary64) (.f64 B (.f64 F 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))) #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 (+ (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) #s(approx (/ (+ (* x 2) 2) (* (* F F) B)) (/.f64 #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) #s(approx (+ (* -1/2 (/ (+ (* x 2) 2) (* (* F F) B))) (/ (- 1 x) B)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) (.f64 B (*.f64 F F)))) (neg.f64 x)))))
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(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (pow.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -1/8 binary64)) #s(literal 4 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 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (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 (/.f64 (fma.f64 F (.f64 F (.f64 F (.f64 F (.f64 F F)))) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 4 binary64)))) (fma.f64 F (.f64 F (.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)) (*.f64 F F))))) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 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 (/.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 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (sin.f64 B)) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) F)) (/.f64 (neg.f64 x) (tan.f64 B)))
(/.f64 (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))) (tan.f64 B) (.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (sin.f64 B) (tan.f64 B)))

Outputs

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

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

Calls

4 calls:

88.0ms	(+.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))))))
47.0ms	x
45.0ms	F
42.0ms	B

Results

Accuracy	Segments	Branch
99.8%	3	`F`
87.7%	1	`B`
87.7%	1	`x`
89.6%	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

17.9MiB live, 96.9MiB allocated

Counts

113 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

36.0ms

Results

Accuracy	Segments	Branch
99.3%	3	`F`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes38.0ms (0.2%)

Memory

14.6MiB live, 91.7MiB 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))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) #s(approx (- -1 x) #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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) F) (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 (/.f64 #s(literal 1 binary64) 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))))) (/.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))))) (/.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 (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 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) F (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 (+ (* -1/2 (/ (+ (* x 2) 2) (* (* F F) B))) (/ (- 1 x) B)) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64) #s(literal -1 binary64)) (.f64 B (*.f64 F F))))))
#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 (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) #s(approx (+ (* -1/2 (/ (+ (* x 2) 2) (* (* F F) B))) (/ (- 1 x) B)) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal -1 binary64) (.f64 B (.f64 F 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))) #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 (+ (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) #s(approx (/ (+ (* x 2) 2) (* (* F F) B)) (/.f64 #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) #s(approx (+ (* -1/2 (/ (+ (* x 2) 2) (* (* F F) B))) (/ (- 1 x) B)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) (.f64 B (*.f64 F F)))) (neg.f64 x)))))
#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 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 (+ (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) F) (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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) F) (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 (+ (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 -1 binary64) (.f64 x (.f64 x x))) (fma.f64 x (+.f64 x #s(literal -1 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 (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) (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) #s(approx (/ (+ (* x 2) 2) (* (* F F) B)) (/.f64 (.f64 #s(literal 2 binary64) x) (.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 (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 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #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 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 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))))) #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 (.f64 F F) B)) (/.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 (.f64 F F) B)) (/.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 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 F (.f64 F B))) #s(literal -1/2 binary64) (/.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 (/ (+ (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) F) (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 (neg.f64 (.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))))) (.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 (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))))) (*.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))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (*.f64 F B)) (/.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 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F B)) (/.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 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) (/.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) (-.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) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F B) (/.f64 (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 (/ (+ (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) F) (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))))
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(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -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 F (*.f64 B B)) F)) B)))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (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 1/45 binary64))) (.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) 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))))) (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))))
#s(approx (+ (* (/ 1 (sin B)) (* F (pow (+ (* 2 x) (+ (* F F) 2)) -1/2))) (/ (neg x) (tan B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))))
#s(approx (- (/ (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (sin B)) (/ x (tan B))) (/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (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)))
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) #s(literal 1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -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))))
(+.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 (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (tan.f64 B) x))) #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 #s(literal -1 binary64) (tan.f64 B)) x (.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ ( 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) F))))

Outputs

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

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

Calls

1 calls:

31.0ms

Results

Accuracy	Segments	Branch
92.3%	3	`F`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes172.0ms (1.1%)

Memory

-18.4MiB live, 218.1MiB allocated

Counts

101 → 3

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

46.0ms	x
44.0ms	F
39.0ms	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
75.1%	1	`B`
81.7%	3	`x`
77.0%	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))))))`
86.9%	3	`F`

Compiler

Compiled 42 to 29 computations (31% saved)

regimes69.0ms (0.4%)

Memory

31.6MiB live, 140.2MiB allocated

Counts

100 → 3

Calls

Call 1

Inputs
#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)) #s(approx (- -1 x) #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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) F) (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 (/.f64 #s(literal 1 binary64) 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))))) (/.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))))) (/.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 (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 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) F (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 (+ (* -1/2 (/ (+ (* x 2) 2) (* (* F F) B))) (/ (- 1 x) B)) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64) #s(literal -1 binary64)) (.f64 B (*.f64 F F))))))
#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 (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) #s(approx (+ (* -1/2 (/ (+ (* x 2) 2) (* (* F F) B))) (/ (- 1 x) B)) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal -1 binary64) (.f64 B (.f64 F 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))) #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 (+ (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) #s(approx (/ (+ (* x 2) 2) (* (* F F) B)) (/.f64 #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) #s(approx (+ (* -1/2 (/ (+ (* x 2) 2) (* (* F F) B))) (/ (- 1 x) B)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) (.f64 B (*.f64 F F)))) (neg.f64 x)))))
#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 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 (+ (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) F) (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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) F) (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 (+ (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 -1 binary64) (.f64 x (.f64 x x))) (fma.f64 x (+.f64 x #s(literal -1 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 (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) (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) #s(approx (/ (+ (* x 2) 2) (* (* F F) B)) (/.f64 (.f64 #s(literal 2 binary64) x) (.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 (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 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #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 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 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))))) #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 (.f64 F F) B)) (/.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 (.f64 F F) B)) (/.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 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 F (.f64 F B))) #s(literal -1/2 binary64) (/.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 (/ (+ (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) F) (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 (neg.f64 (.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))))) (.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 (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))))) (*.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))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (*.f64 F B)) (/.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 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F B)) (/.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 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) (/.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) (-.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) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F B) (/.f64 (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 (/ (+ (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) F) (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 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #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 (-.f64 (.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (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 #s(literal -1/2 binary64) (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 F (.f64 F B)))) (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
(fma.f64 #s(approx (/ -1 (tan B)) (/.f64 (fma.f64 (.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)) B)) x #s(approx ( (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -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))))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (tan B) (fma.f64 B (.f64 (.f64 B B) #s(literal 1/3 binary64)) B))) x #s(approx (* (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -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))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (.f64 x (sqrt.f64 (.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))) 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 (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))
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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 (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)))) (neg.f64 (.f64 x x))) (+.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) x)) B))
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(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x 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 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -1/2)) #s(approx (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/ F B)) (/.f64 #s(literal -1 binary64) B))))
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -1/2)) #s(approx (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/ F 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 (/.f64 #s(literal 1 binary64) B) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))) #s(literal -1 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))) (fma.f64 (.f64 F F) (+.f64 (/.f64 (.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))))) (/.f64 #s(literal -1 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 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #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 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 (+ (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 (fma.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)))))) (.f64 (/.f64 (.f64 F F) B) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) B)) (/.f64 (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 (/ (+ (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) F) (neg x)) B) (fma.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 (neg.f64 B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (.f64 B B) (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 (.f64 (.f64 B B) F) #s(literal 7/360 binary64) (.f64 F #s(literal 1/6 binary64))) (.f64 x (fma.f64 #s(literal 1/45 binary64) (.f64 B B) #s(literal 1/3 binary64)))) (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 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B))))
#s(approx (+ (* (/ 1 (sin B)) (* F (pow (+ (* 2 x) (+ (* F F) 2)) -1/2))) (/ (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)))) (sin B)) (/ x (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (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 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B))))
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -1/2)) (.f64 #s(approx (sqrt (/ 1 (+ ( x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (/.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 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 B (.f64 (.f64 B B) #s(literal -1/6 binary64)) B)))))
(-.f64 (/.f64 F #s(approx (* (sqrt (+ (* F F) (+ (* 2 x) 2))) (sin B)) (*.f64 B (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) (/.f64 x (tan.f64 B)))
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(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (sin.f64 B)) #s(approx (/ x (tan B)) (/.f64 x B)))
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -1/2)) (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (/.f64 F B))))
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(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -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 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (.f64 B B) (fma.f64 B (.f64 B (.f64 x (fma.f64 (.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) 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 (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))))
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -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 F (*.f64 B B)) F)) B)))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (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 1/45 binary64))) (.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) 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))))) (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))))
#s(approx (+ (* (/ 1 (sin B)) (* F (pow (+ (* 2 x) (+ (* F F) 2)) -1/2))) (/ (neg x) (tan B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))))
#s(approx (- (/ (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (sin B)) (/ x (tan B))) (/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B)))

Outputs

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

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

Calls

2 calls:

33.0ms	x
28.0ms	F

Results

Accuracy	Segments	Branch
81.7%	3	`x`
81.2%	3	`F`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes37.0ms (0.2%)

Memory

-40.6MiB live, 56.0MiB allocated

Counts

88 → 3

Calls

Call 1

Inputs
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#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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) F) (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 (/.f64 #s(literal 1 binary64) 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))))) (/.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))))) (/.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))
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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 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) F (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 (+ (* -1/2 (/ (+ (* x 2) 2) (* (* F F) B))) (/ (- 1 x) B)) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64) #s(literal -1 binary64)) (.f64 B (*.f64 F F))))))
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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) #s(approx (+ (* -1/2 (/ (+ (* x 2) 2) (* (* F F) B))) (/ (- 1 x) B)) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal -1 binary64) (.f64 B (.f64 F 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))) #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))))) (/.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 (+ (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) F) (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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) F) (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 (+ (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 -1 binary64) (.f64 x (.f64 x x))) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) B))
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(fma.f64 #s(approx (/ -1 (tan 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)) x #s(approx (* (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -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))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 #s(approx (* 1 (+ (* F F) 2)) #s(literal 2 binary64)) (.f64 (sqrt.f64 (.f64 x (*.f64 x x))) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))) 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 (.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (neg.f64 (.f64 x x))) (*.f64 B (+.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) x))))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (tan B) (.f64 B (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64))))) x #s(approx ( (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -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))))
#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)))) (neg.f64 (.f64 x x))) (+.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) x)) B))
(fma.f64 #s(approx (/ -1 (tan B)) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (.f64 B 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)) x #s(approx ( (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -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))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))) 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)))) (fma.f64 (.f64 F F) (.f64 #s(literal -1/2 binary64) (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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #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)))))) F (neg.f64 x)) B))
#s(approx (- (/ F (* (sqrt (+ (* F F) (+ (* 2 x) 2))) (sin B))) (/ x (tan 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))))) (fma.f64 (.f64 B B) (fma.f64 (.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.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))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(approx (* (* -1/8 (sqrt (/ 1 (* x (* x x))))) (/ (+ (* F F) 2) (sqrt 1/2))) (.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 #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 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (neg.f64 x)) B))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (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 1/45 binary64))) (.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) B)) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (/.f64 F 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 #s(approx (* x (/ 1 (tan B))) (/.f64 x 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 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -1/2)) #s(approx (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/ F B)) (/.f64 #s(literal -1 binary64) B))))
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -1/2)) #s(approx (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/ F 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 (/.f64 #s(literal 1 binary64) B) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))) #s(literal -1 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))) (fma.f64 (.f64 F F) (+.f64 (/.f64 (.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))))) (/.f64 #s(literal -1 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 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #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 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 (+ (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 (fma.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)))))) (.f64 (/.f64 (.f64 F F) B) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) B)) (/.f64 (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 (/ (+ (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) F) (neg x)) B) (fma.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 (neg.f64 B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (.f64 B B) (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 (.f64 (.f64 B B) F) #s(literal 7/360 binary64) (.f64 F #s(literal 1/6 binary64))) (.f64 x (fma.f64 #s(literal 1/45 binary64) (.f64 B B) #s(literal 1/3 binary64)))) (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 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B))))
#s(approx (+ (* (/ 1 (sin B)) (* F (pow (+ (* 2 x) (+ (* F F) 2)) -1/2))) (/ (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)))) (sin B)) (/ x (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (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 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B))))
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -1/2)) (.f64 #s(approx (sqrt (/ 1 (+ ( x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (/.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 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 B (.f64 (.f64 B B) #s(literal -1/6 binary64)) B)))))
(-.f64 (/.f64 F #s(approx (* (sqrt (+ (* F F) (+ (* 2 x) 2))) (sin B)) (*.f64 B (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 F (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B)))

Outputs

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

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

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

Calls

1 calls:

29.0ms

Results

Accuracy	Segments	Branch
81.7%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes56.0ms (0.3%)

Memory

35.4MiB live, 111.0MiB 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))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) #s(approx (- -1 x) #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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) F) (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 (/.f64 #s(literal 1 binary64) 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))))) (/.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))))) (/.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 (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 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) F (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 (+ (* -1/2 (/ (+ (* x 2) 2) (* (* F F) B))) (/ (- 1 x) B)) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64) #s(literal -1 binary64)) (.f64 B (*.f64 F F))))))
#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 (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) #s(approx (+ (* -1/2 (/ (+ (* x 2) 2) (* (* F F) B))) (/ (- 1 x) B)) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal -1 binary64) (.f64 B (.f64 F 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))) #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 (+ (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) #s(approx (/ (+ (* x 2) 2) (* (* F F) B)) (/.f64 #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) #s(approx (+ (* -1/2 (/ (+ (* x 2) 2) (* (* F F) B))) (/ (- 1 x) B)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) (.f64 B (*.f64 F F)))) (neg.f64 x)))))
#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 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 (+ (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) F) (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))
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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) B) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))) #s(literal -1 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))) (fma.f64 (.f64 F F) (+.f64 (/.f64 (.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))))) (/.f64 #s(literal -1 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 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #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 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 (+ (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 (fma.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)))))) (.f64 (/.f64 (.f64 F F) B) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) B)) (/.f64 (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 (/ (+ (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) F) (neg x)) B) (fma.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 (neg.f64 B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (.f64 B B) (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 (.f64 (.f64 B B) F) #s(literal 7/360 binary64) (.f64 F #s(literal 1/6 binary64))) (.f64 x (fma.f64 #s(literal 1/45 binary64) (.f64 B B) #s(literal 1/3 binary64)))) (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 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B))))
#s(approx (+ (* (/ 1 (sin B)) (* F (pow (+ (* 2 x) (+ (* F F) 2)) -1/2))) (/ (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)))) (sin B)) (/ x (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (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 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B))))
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -1/2)) (.f64 #s(approx (sqrt (/ 1 (+ ( x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (/.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 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 B (.f64 (.f64 B B) #s(literal -1/6 binary64)) B)))))
(-.f64 (/.f64 F #s(approx (* (sqrt (+ (* F F) (+ (* 2 x) 2))) (sin B)) (*.f64 B (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) (/.f64 x (tan.f64 B)))

Outputs

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

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

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

Calls

2 calls:

25.0ms	x
24.0ms	F

Results

Accuracy	Segments	Branch
81.2%	3	`F`
80.5%	3	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes116.0ms (0.7%)

Memory

-7.7MiB live, 186.6MiB allocated

Counts

86 → 2

Calls

Call 1

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

#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (*.f64 B B) (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 (*.f64 (*.f64 B B) F) #s(literal 7/360 binary64) (*.f64 F #s(literal 1/6 binary64))) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (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 (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 B (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) B)))))

Calls

4 calls:

29.0ms	B
25.0ms	F
25.0ms	x
25.0ms	(+.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
74.2%	2	`B`
67.3%	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))))))`
74.2%	4	`x`
66.3%	3	`F`

Compiler

Compiled 42 to 29 computations (31% saved)

regimes33.0ms (0.2%)

Memory

-16.1MiB live, 57.4MiB allocated

Counts

85 → 2

Calls

Call 1

Inputs
#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)) #s(approx (- -1 x) #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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) F) (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 (/.f64 #s(literal 1 binary64) 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))))) (/.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))))) (/.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 (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 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) F (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 (+ (* -1/2 (/ (+ (* x 2) 2) (* (* F F) B))) (/ (- 1 x) B)) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64) #s(literal -1 binary64)) (.f64 B (*.f64 F F))))))
#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 (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) #s(approx (+ (* -1/2 (/ (+ (* x 2) 2) (* (* F F) B))) (/ (- 1 x) B)) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal -1 binary64) (.f64 B (.f64 F 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))) #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 (+ (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) #s(approx (/ (+ (* x 2) 2) (* (* F F) B)) (/.f64 #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) #s(approx (+ (* -1/2 (/ (+ (* x 2) 2) (* (* F F) B))) (/ (- 1 x) B)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) (.f64 B (*.f64 F F)))) (neg.f64 x)))))
#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 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 (+ (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) F) (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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) F) (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 (+ (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 -1 binary64) (.f64 x (.f64 x x))) (fma.f64 x (+.f64 x #s(literal -1 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 (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) (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) #s(approx (/ (+ (* x 2) 2) (* (* F F) B)) (/.f64 (.f64 #s(literal 2 binary64) x) (.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 (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 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #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 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 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))))) #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 (.f64 F F) B)) (/.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 (.f64 F F) B)) (/.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 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 F (.f64 F B))) #s(literal -1/2 binary64) (/.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 (/ (+ (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) F) (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 (neg.f64 (.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))))) (.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 (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))))) (*.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))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (*.f64 F B)) (/.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 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F B)) (/.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 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) (/.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) (-.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) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F B) (/.f64 (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 (/ (+ (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) F) (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 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #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 (-.f64 (.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (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 #s(literal -1/2 binary64) (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 F (.f64 F B)))) (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
(fma.f64 #s(approx (/ -1 (tan B)) (/.f64 (fma.f64 (.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)) B)) x #s(approx ( (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -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))))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (tan B) (fma.f64 B (.f64 (.f64 B B) #s(literal 1/3 binary64)) B))) x #s(approx (* (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -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))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (.f64 x (sqrt.f64 (.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))) 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 (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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (.f64 F F) #s(approx (/ 1 (+ ( x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (neg.f64 (.f64 x x))) (.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))))) x))))
#s(approx (+ (* (/ 1 (sin B)) (* F (pow (+ (* 2 x) (+ (* F F) 2)) -1/2))) (/ (neg x) (tan B))) (/.f64 (-.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 F (.f64 B B)) F) (.f64 (.f64 (*.f64 B B) #s(literal 1/3 binary64)) x)) x) B))
#s(approx (- (/ (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (sin B)) (/ 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 x (.f64 (*.f64 B B) #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))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) #s(approx (+ (* -1/2 (/ (+ (* x 2) 2) (* (* F F) B))) (/ (- 1 x) B)) (.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 B x)) (/.f64 #s(literal -1 binary64) B)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 B (.f64 F F))) (/.f64 #s(literal 1 binary64) (.f64 B (.f64 F (*.f64 F 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) B) (-.f64 (.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (.f64 x (sqrt.f64 (.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x))))) x)))
(fma.f64 #s(approx (/ -1 (tan 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)) x #s(approx (* (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -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))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 #s(approx (* 1 (+ (* F F) 2)) #s(literal 2 binary64)) (.f64 (sqrt.f64 (.f64 x (*.f64 x x))) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))) 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 (.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (neg.f64 (.f64 x x))) (*.f64 B (+.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) x))))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (tan B) (.f64 B (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64))))) x #s(approx ( (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -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))))
#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)))) (neg.f64 (.f64 x x))) (+.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) x)) B))
(fma.f64 #s(approx (/ -1 (tan B)) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (.f64 B 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)) x #s(approx ( (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -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))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))) 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)))) (fma.f64 (.f64 F F) (.f64 #s(literal -1/2 binary64) (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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #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)))))) F (neg.f64 x)) B))
#s(approx (- (/ F (* (sqrt (+ (* F F) (+ (* 2 x) 2))) (sin B))) (/ x (tan 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))))) (fma.f64 (.f64 B B) (fma.f64 (.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.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))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(approx (* (* -1/8 (sqrt (/ 1 (* x (* x x))))) (/ (+ (* F F) 2) (sqrt 1/2))) (.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 #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 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (neg.f64 x)) B))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (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 1/45 binary64))) (.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) B)) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (/.f64 F 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 #s(approx (* x (/ 1 (tan B))) (/.f64 x 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 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -1/2)) #s(approx (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/ F B)) (/.f64 #s(literal -1 binary64) B))))
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -1/2)) #s(approx (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/ F 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 (/.f64 #s(literal 1 binary64) B) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))) #s(literal -1 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))) (fma.f64 (.f64 F F) (+.f64 (/.f64 (.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))))) (/.f64 #s(literal -1 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 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #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 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 (+ (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 (fma.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)))))) (.f64 (/.f64 (.f64 F F) B) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) B)) (/.f64 (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 (/ (+ (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) F) (neg x)) B) (fma.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 (neg.f64 B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (.f64 B B) (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 (.f64 (.f64 B B) F) #s(literal 7/360 binary64) (.f64 F #s(literal 1/6 binary64))) (.f64 x (fma.f64 #s(literal 1/45 binary64) (.f64 B B) #s(literal 1/3 binary64)))) (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 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B))))
#s(approx (+ (* (/ 1 (sin B)) (* F (pow (+ (* 2 x) (+ (* F F) 2)) -1/2))) (/ (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)))) (sin B)) (/ x (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (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 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B))))
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -1/2)) (.f64 #s(approx (sqrt (/ 1 (+ ( x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (/.f64 F B))))

Outputs

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

Calls

1 calls:

25.0ms

Results

Accuracy	Segments	Branch
74.0%	2	`B`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes31.0ms (0.2%)

Memory

20.5MiB live, 57.0MiB allocated

Counts

84 → 2

Calls

Call 1

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

Calls

1 calls:

24.0ms

Results

Accuracy	Segments	Branch
73.4%	2	`B`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes34.0ms (0.2%)

Memory

13.1MiB live, 53.7MiB allocated

Counts

79 → 2

Calls

Call 1

Inputs
#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)) #s(approx (- -1 x) #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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) F) (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 (/.f64 #s(literal 1 binary64) 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))))) (/.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))))) (/.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 (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 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) F (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 (+ (* -1/2 (/ (+ (* x 2) 2) (* (* F F) B))) (/ (- 1 x) B)) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64) #s(literal -1 binary64)) (.f64 B (*.f64 F F))))))
#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 (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) #s(approx (+ (* -1/2 (/ (+ (* x 2) 2) (* (* F F) B))) (/ (- 1 x) B)) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal -1 binary64) (.f64 B (.f64 F 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))) #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 (+ (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) #s(approx (/ (+ (* x 2) 2) (* (* F F) B)) (/.f64 #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) #s(approx (+ (* -1/2 (/ (+ (* x 2) 2) (* (* F F) B))) (/ (- 1 x) B)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) (.f64 B (*.f64 F F)))) (neg.f64 x)))))
#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 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 (+ (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) F) (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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) F) (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 (+ (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 -1 binary64) (.f64 x (.f64 x x))) (fma.f64 x (+.f64 x #s(literal -1 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 (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) (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) #s(approx (/ (+ (* x 2) 2) (* (* F F) B)) (/.f64 (.f64 #s(literal 2 binary64) x) (.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 (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 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #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 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 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))))) #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 (.f64 F F) B)) (/.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 (.f64 F F) B)) (/.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 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 F (.f64 F B))) #s(literal -1/2 binary64) (/.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 (/ (+ (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) F) (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 (neg.f64 (.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))))) (.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 (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))))) (*.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)))
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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 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 F B)) (/.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 (/ (+ (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) F) (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 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #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 (-.f64 (.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) B) (.f64 B x)) (*.f64 B 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 (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))
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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 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 #s(approx (* 1 (+ (* F F) 2)) #s(literal 2 binary64)) (.f64 (sqrt.f64 (.f64 x (*.f64 x x))) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))) 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 (.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (neg.f64 (.f64 x x))) (*.f64 B (+.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) x))))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (tan B) (.f64 B (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64))))) x #s(approx ( (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -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))))
#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)))) (neg.f64 (.f64 x x))) (+.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) x)) B))
(fma.f64 #s(approx (/ -1 (tan B)) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (.f64 B 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)) x #s(approx ( (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -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))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))) 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)))) (fma.f64 (.f64 F F) (.f64 #s(literal -1/2 binary64) (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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #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)))))) F (neg.f64 x)) B))
#s(approx (- (/ F (* (sqrt (+ (* F F) (+ (* 2 x) 2))) (sin B))) (/ x (tan 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))))) (fma.f64 (.f64 B B) (fma.f64 (.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.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))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(approx (* (* -1/8 (sqrt (/ 1 (* x (* x x))))) (/ (+ (* F F) 2) (sqrt 1/2))) (.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 #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 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (neg.f64 x)) B))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (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 1/45 binary64))) (.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) B)) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (/.f64 F 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 #s(approx (* x (/ 1 (tan B))) (/.f64 x 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 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -1/2)) #s(approx (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/ F B)) (/.f64 #s(literal -1 binary64) B))))
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -1/2)) #s(approx (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/ F 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 (/.f64 #s(literal 1 binary64) B) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))) #s(literal -1 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))) (fma.f64 (.f64 F F) (+.f64 (/.f64 (.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))))) (/.f64 #s(literal -1 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 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #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 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 (+ (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 (fma.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)))))) (.f64 (/.f64 (.f64 F F) B) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) B)) (/.f64 (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 (/ (+ (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) F) (neg x)) B) (fma.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 (neg.f64 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))

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

Calls

1 calls:

28.0ms

Results

Accuracy	Segments	Branch
73.1%	2	`B`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes110.0ms (0.7%)

Memory

-8.9MiB live, 187.2MiB allocated

Counts

71 → 3

Calls

Call 1

Inputs
#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)) #s(approx (- -1 x) #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))
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(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (tan B) (.f64 B (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64))))) x #s(approx ( (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -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))))
#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)))) (neg.f64 (.f64 x x))) (+.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) x)) B))
(fma.f64 #s(approx (/ -1 (tan B)) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (.f64 B 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)) x #s(approx ( (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -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))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))) 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)))) (fma.f64 (.f64 F F) (.f64 #s(literal -1/2 binary64) (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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #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)))))) F (neg.f64 x)) B))
#s(approx (- (/ F (* (sqrt (+ (* F F) (+ (* 2 x) 2))) (sin B))) (/ x (tan 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))))) (fma.f64 (.f64 B B) (fma.f64 (.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.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))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(approx (* (* -1/8 (sqrt (/ 1 (* x (* x x))))) (/ (+ (* F F) 2) (sqrt 1/2))) (.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 #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 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (neg.f64 x)) B))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (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 1/45 binary64))) (.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) B)) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (/.f64 F 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 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 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))))) (/.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))

(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (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 1/45 binary64))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (/.f64 F 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 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))

Calls

4 calls:

35.0ms	(+.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))))))
26.0ms	B
23.0ms	x
20.0ms	F

Results

Accuracy	Segments	Branch
58.8%	3	`F`
49.1%	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))))))`
47.3%	1	`x`
53.7%	2	`B`

Compiler

Compiled 42 to 29 computations (31% saved)

regimes48.0ms (0.3%)

Memory

-10.4MiB live, 107.8MiB allocated

Counts

70 → 3

Calls

Call 1

Inputs
#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)) #s(approx (- -1 x) #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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) F) (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 (/.f64 #s(literal 1 binary64) 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))))) (/.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))))) (/.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 (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 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) F (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 (+ (* -1/2 (/ (+ (* x 2) 2) (* (* F F) B))) (/ (- 1 x) B)) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64) #s(literal -1 binary64)) (.f64 B (*.f64 F F))))))
#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 (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) #s(approx (+ (* -1/2 (/ (+ (* x 2) 2) (* (* F F) B))) (/ (- 1 x) B)) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal -1 binary64) (.f64 B (.f64 F 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))) #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 (+ (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) #s(approx (/ (+ (* x 2) 2) (* (* F F) B)) (/.f64 #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) #s(approx (+ (* -1/2 (/ (+ (* x 2) 2) (* (* F F) B))) (/ (- 1 x) B)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) (.f64 B (*.f64 F F)))) (neg.f64 x)))))
#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 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 (+ (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) F) (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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) F) (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 (+ (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 -1 binary64) (.f64 x (.f64 x x))) (fma.f64 x (+.f64 x #s(literal -1 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 (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) (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) #s(approx (/ (+ (* x 2) 2) (* (* F F) B)) (/.f64 (.f64 #s(literal 2 binary64) x) (.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 (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 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #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 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 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))))) #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 (.f64 F F) B)) (/.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 (.f64 F F) B)) (/.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 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 F (.f64 F B))) #s(literal -1/2 binary64) (/.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 (/ (+ (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) F) (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 (neg.f64 (.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))))) (.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 (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))))) (*.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))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (*.f64 F B)) (/.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 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F B)) (/.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 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) (/.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) (-.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) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F B) (/.f64 (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 (/ (+ (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) F) (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 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #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 (-.f64 (.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (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 #s(literal -1/2 binary64) (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 F (.f64 F B)))) (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
(fma.f64 #s(approx (/ -1 (tan B)) (/.f64 (fma.f64 (.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)) B)) x #s(approx ( (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -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))))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (tan B) (fma.f64 B (.f64 (.f64 B B) #s(literal 1/3 binary64)) B))) x #s(approx (* (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -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))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (.f64 x (sqrt.f64 (.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))) 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 (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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (.f64 F F) #s(approx (/ 1 (+ ( x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (neg.f64 (.f64 x x))) (.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))))) x))))
#s(approx (+ (* (/ 1 (sin B)) (* F (pow (+ (* 2 x) (+ (* F F) 2)) -1/2))) (/ (neg x) (tan B))) (/.f64 (-.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 F (.f64 B B)) F) (.f64 (.f64 (*.f64 B B) #s(literal 1/3 binary64)) x)) x) B))
#s(approx (- (/ (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (sin B)) (/ 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 x (.f64 (*.f64 B B) #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))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) #s(approx (+ (* -1/2 (/ (+ (* x 2) 2) (* (* F F) B))) (/ (- 1 x) B)) (.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 B x)) (/.f64 #s(literal -1 binary64) B)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 B (.f64 F F))) (/.f64 #s(literal 1 binary64) (.f64 B (.f64 F (*.f64 F 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) B) (-.f64 (.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (.f64 x (sqrt.f64 (.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x))))) x)))
(fma.f64 #s(approx (/ -1 (tan 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)) x #s(approx (* (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -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))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 #s(approx (* 1 (+ (* F F) 2)) #s(literal 2 binary64)) (.f64 (sqrt.f64 (.f64 x (*.f64 x x))) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))) 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 (.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (neg.f64 (.f64 x x))) (*.f64 B (+.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) x))))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (tan B) (.f64 B (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64))))) x #s(approx ( (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -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))))
#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)))) (neg.f64 (.f64 x x))) (+.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) x)) B))
(fma.f64 #s(approx (/ -1 (tan B)) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (.f64 B 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)) x #s(approx ( (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -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))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))) 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)))) (fma.f64 (.f64 F F) (.f64 #s(literal -1/2 binary64) (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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #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)))))) F (neg.f64 x)) B))
#s(approx (- (/ F (* (sqrt (+ (* F F) (+ (* 2 x) 2))) (sin B))) (/ x (tan 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))))) (fma.f64 (.f64 B B) (fma.f64 (.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.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))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(approx (* (* -1/8 (sqrt (/ 1 (* x (* x x))))) (/ (+ (* F F) 2) (sqrt 1/2))) (.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 #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 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (neg.f64 x)) B))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (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 1/45 binary64))) (.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) B)) #s(approx ( (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))))

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 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B))

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

Calls

2 calls:

20.0ms	F
20.0ms	B

Results

Accuracy	Segments	Branch
47.3%	1	`B`
52.7%	3	`F`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes27.0ms (0.2%)

Memory

20.8MiB live, 58.6MiB allocated

Counts

69 → 3

Calls

Call 1

Inputs
#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)) #s(approx (- -1 x) #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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) F) (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 (/.f64 #s(literal 1 binary64) 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))))) (/.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))))) (/.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 (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 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) F (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 (+ (* -1/2 (/ (+ (* x 2) 2) (* (* F F) B))) (/ (- 1 x) B)) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64) #s(literal -1 binary64)) (.f64 B (*.f64 F F))))))
#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 (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) #s(approx (+ (* -1/2 (/ (+ (* x 2) 2) (* (* F F) B))) (/ (- 1 x) B)) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal -1 binary64) (.f64 B (.f64 F F)))))))
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#s(approx (- (/ F (* (sqrt (+ (* F F) (+ (* 2 x) 2))) (sin B))) (/ x (tan 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))))) (fma.f64 (.f64 B B) (fma.f64 (.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.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))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(approx (* (* -1/8 (sqrt (/ 1 (* x (* x x))))) (/ (+ (* F F) 2) (sqrt 1/2))) (.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 #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 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 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 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B))

(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (tan B) (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64))))) x #s(approx (* (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -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))))

#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:

21.0ms

Results

Accuracy	Segments	Branch
52.6%	3	`F`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes24.0ms (0.1%)

Memory

12.5MiB live, 50.2MiB allocated

Counts

60 → 3

Calls

Call 1

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

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

#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:

19.0ms

Results

Accuracy	Segments	Branch
52.5%	3	`F`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes21.0ms (0.1%)

Memory

4.0MiB live, 42.9MiB allocated

Counts

57 → 3

Calls

Call 1

Inputs
#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)) #s(approx (- -1 x) #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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) F) (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 (/.f64 #s(literal 1 binary64) 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))))) (/.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))))) (/.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 (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 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) F (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 (+ (* -1/2 (/ (+ (* x 2) 2) (* (* F F) B))) (/ (- 1 x) B)) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64) #s(literal -1 binary64)) (.f64 B (*.f64 F F))))))
#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 (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) #s(approx (+ (* -1/2 (/ (+ (* x 2) 2) (* (* F F) B))) (/ (- 1 x) B)) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal -1 binary64) (.f64 B (.f64 F 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))) #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 (+ (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) #s(approx (/ (+ (* x 2) 2) (* (* F F) B)) (/.f64 #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) #s(approx (+ (* -1/2 (/ (+ (* x 2) 2) (* (* F F) B))) (/ (- 1 x) B)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) (.f64 B (*.f64 F F)))) (neg.f64 x)))))
#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 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 (+ (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) F) (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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) F) (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 (+ (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 -1 binary64) (.f64 x (.f64 x x))) (fma.f64 x (+.f64 x #s(literal -1 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 (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) (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) #s(approx (/ (+ (* x 2) 2) (* (* F F) B)) (/.f64 (.f64 #s(literal 2 binary64) x) (.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 (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 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #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 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 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))))) #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 (.f64 F F) B)) (/.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 (.f64 F F) B)) (/.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 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (.f64 F (.f64 F B))) #s(literal -1/2 binary64) (/.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 (/ (+ (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) F) (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 (neg.f64 (.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))))) (.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 (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))))) (*.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))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (*.f64 F B)) (/.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 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F B)) (/.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 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) (/.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) (-.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) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F B) (/.f64 (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 (/ (+ (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) F) (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 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #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 (-.f64 (.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (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 #s(literal -1/2 binary64) (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 F (.f64 F B)))) (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
(fma.f64 #s(approx (/ -1 (tan B)) (/.f64 (fma.f64 (.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)) B)) x #s(approx ( (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -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))))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (tan B) (fma.f64 B (.f64 (.f64 B B) #s(literal 1/3 binary64)) B))) x #s(approx (* (/ F (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -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))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (.f64 x (sqrt.f64 (.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))) 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 (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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (.f64 F F) #s(approx (/ 1 (+ ( x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (neg.f64 (.f64 x x))) (.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))))) x))))
#s(approx (+ (* (/ 1 (sin B)) (* F (pow (+ (* 2 x) (+ (* F F) 2)) -1/2))) (/ (neg x) (tan B))) (/.f64 (-.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 F (.f64 B B)) F) (.f64 (.f64 (*.f64 B B) #s(literal 1/3 binary64)) x)) x) B))
#s(approx (- (/ (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (sin B)) (/ 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 x (.f64 (*.f64 B B) #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))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) #s(approx (+ (* -1/2 (/ (+ (* x 2) 2) (* (* F F) B))) (/ (- 1 x) B)) (.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 B x)) (/.f64 #s(literal -1 binary64) B)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 B (.f64 F F))) (/.f64 #s(literal 1 binary64) (.f64 B (.f64 F (*.f64 F 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) B) (-.f64 (.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (.f64 x (sqrt.f64 (.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x))))) 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)) (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 (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 (+ (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:

15.0ms

Results

Accuracy	Segments	Branch
52.5%	3	`F`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes37.0ms (0.2%)

Memory

-10.0MiB live, 33.9MiB allocated

Counts

51 → 3

Calls

Call 1

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

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

#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))

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
52.5%	3	`F`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes36.0ms (0.2%)

Memory

-2.3MiB live, 36.3MiB allocated

Counts

48 → 3

Calls

Call 1

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

Calls

1 calls:

32.0ms

Results

Accuracy	Segments	Branch
52.0%	3	`F`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes16.0ms (0.1%)

Memory

-3.7MiB live, 34.6MiB allocated

Counts

38 → 3

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
52.0%	3	`F`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes14.0ms (0.1%)

Memory

-7.4MiB live, 30.0MiB allocated

Counts

33 → 3

Calls

Call 1

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
51.8%	3	`F`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.1%)

Memory

24.6MiB live, 24.6MiB allocated

Counts

26 → 3

Calls

Call 1

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
51.7%	3	`F`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Memory

-26.0MiB live, 14.9MiB 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))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) #s(approx (- -1 x) #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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) F) (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 (/.f64 #s(literal 1 binary64) 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))))) (/.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))))) (/.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 (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 #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) F (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 (+ (* -1/2 (/ (+ (* x 2) 2) (* (* F F) B))) (/ (- 1 x) B)) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64) #s(literal -1 binary64)) (.f64 B (*.f64 F F))))))
#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 (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) #s(approx (+ (* -1/2 (/ (+ (* x 2) 2) (* (* F F) B))) (/ (- 1 x) B)) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal -1 binary64) (.f64 B (.f64 F 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))) #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))

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)) (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:

8.0ms

Results

Accuracy	Segments	Branch
51.7%	3	`F`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0%)

Memory

14.7MiB live, 14.7MiB allocated

Counts

13 → 3

Calls

Call 1

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

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:

4.0ms

Results

Accuracy	Segments	Branch
51.6%	3	`F`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes14.0ms (0.1%)

Memory

-2.9MiB live, 35.7MiB 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))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) #s(approx (- -1 x) #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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) F) (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 (/.f64 #s(literal 1 binary64) 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))))) (/.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

4 calls:

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))))))
3.0ms	B
3.0ms	F
3.0ms	x

Results

Accuracy	Segments	Branch
29.5%	1	`B`
32.2%	2	`x`
35.3%	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))))))`
42.7%	3	`F`

Compiler

Compiled 42 to 29 computations (31% saved)

regimes2.0ms (0%)

Memory

6.6MiB live, 6.6MiB 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))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) #s(approx (- -1 x) #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
36.1%	2	`F`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Memory

-20.5MiB live, 16.9MiB 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))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) #s(approx (- -1 x) #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))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) #s(approx (- -1 x) #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

3 calls:

5.0ms

(+.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

Results

Accuracy	Segments	Branch
29.5%	1	`x`
29.5%	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))))))`
32.1%	2	`F`

Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes6.0ms (0%)

Memory

18.6MiB live, 18.6MiB 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))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) #s(approx (- -1 x) #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))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B))

Calls

4 calls:

1.0ms	(+.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	B
1.0ms	x
1.0ms	F

Results

Accuracy	Segments	Branch
10.0%	1	`B`
10.0%	1	`x`
10.0%	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))))))`
10.0%	1	`F`

Compiler

Compiled 42 to 29 computations (31% saved)

bsearch161.0ms (1%)

Memory

-31.1MiB live, 85.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
123.0ms	11.608523697518967	22286718222.19435
32.0ms	-8.367287634068089e+27	-6.398341573129158e+22

Samples

141.0ms	240×	0	valid
3.0ms	24×	0	invalid

Compiler

Compiled 573 to 386 computations (32.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-tan: 8.0ms (22.8% of total)

ival-mult: 6.0ms (17.1% of total)

ival-div: 5.0ms (14.2% of total)

ival-sin: 5.0ms (14.2% of total)

ival-pow: 5.0ms (14.2% of total)

ival-add: 3.0ms (8.5% of total)

ival-neg: 2.0ms (5.7% of total)

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

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

exact: 0.0ms (0% of total)

bsearch29.0ms (0.2%)

Memory

3.4MiB live, 41.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	11.608523697518967	22286718222.19435
1.0ms	-8.367287634068089e+27	-6.398341573129158e+22

Samples

19.0ms	112×	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: 16.0ms

ival-sin: 4.0ms (24.8% of total)

ival-mult: 3.0ms (18.6% of total)

ival-div: 2.0ms (12.4% of total)

ival-add: 2.0ms (12.4% of total)

ival-tan: 2.0ms (12.4% of total)

ival-pow: 2.0ms (12.4% of total)

ival-neg: 1.0ms (6.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch76.0ms (0.5%)

Memory

-11.2MiB live, 65.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
28.0ms	11.608523697518967	22286718222.19435
41.0ms	-1202.9221300753998	-6.505504092844621e-6

Samples

54.0ms	272×	0	valid
3.0ms	25×	0	invalid

Compiler

Compiled 717 to 476 computations (33.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-sin: 16.0ms (33% of total)

ival-mult: 7.0ms (14.5% of total)

ival-div: 6.0ms (12.4% of total)

ival-tan: 6.0ms (12.4% of total)

ival-add: 5.0ms (10.3% of total)

ival-pow: 5.0ms (10.3% of total)

ival-neg: 2.0ms (4.1% 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

2.9MiB live, 2.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
1.0ms	11.608523697518967	22286718222.19435
0.0ms	-8.367287634068089e+27	-6.398341573129158e+22

Compiler

Compiled 394 to 255 computations (35.3% saved)

bsearch52.0ms (0.3%)

Memory

-15.9MiB live, 63.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	1.3998203475726886e-100	1.1008786631310451e-98
22.0ms	-1.9746948088626968e-106	-3.4742940900120735e-107

Samples

33.0ms

208×

valid

Compiler

Compiled 605 to 364 computations (39.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 5.0ms (18.9% of total)

ival-tan: 5.0ms (18.9% of total)

ival-div: 4.0ms (15.1% of total)

ival-sin: 4.0ms (15.1% of total)

ival-pow: 4.0ms (15.1% of total)

ival-add: 3.0ms (11.3% of total)

ival-neg: 2.0ms (7.6% 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

3.9MiB live, 3.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.3998203475726886e-100	1.1008786631310451e-98
1.0ms	-1.9746948088626968e-106	-3.4742940900120735e-107

Compiler

Compiled 605 to 364 computations (39.8% saved)

bsearch18.0ms (0.1%)

Memory

27.5MiB live, 27.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
16.0ms	4.743731331636518e+102	1.7096202985884242e+103
0.0ms	-8.367287634068089e+27	-6.398341573129158e+22

Samples

12.0ms	80×	0	valid
1.0ms	4×	0	invalid

Compiler

Compiled 255 to 163 computations (36.1% saved)

Precisions

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

ival-div: 2.0ms (20.4% of total)

ival-mult: 2.0ms (20.4% of total)

ival-tan: 2.0ms (20.4% of total)

ival-pow: 2.0ms (20.4% of total)

ival-add: 1.0ms (10.2% of total)

ival-sin: 1.0ms (10.2% of total)

ival-neg: 1.0ms (10.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch35.0ms (0.2%)

Memory

6.9MiB live, 41.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
32.0ms	0.0392040783509881	412.2103428298029

Samples

20.0ms

128×

valid

Compiler

Compiled 657 to 346 computations (47.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-tan: 4.0ms (24.6% of total)

ival-mult: 3.0ms (18.5% of total)

ival-div: 2.0ms (12.3% of total)

ival-add: 2.0ms (12.3% of total)

ival-sin: 2.0ms (12.3% of total)

ival-pow: 2.0ms (12.3% of total)

ival-neg: 1.0ms (6.2% 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

3.1MiB live, 3.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0392040783509881	412.2103428298029

Compiler

Compiled 617 to 322 computations (47.8% saved)

bsearch23.0ms (0.1%)

Memory

-0.1MiB live, 35.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	0.0392040783509881	412.2103428298029

Samples

16.0ms

96×

valid

Compiler

Compiled 585 to 298 computations (49.1% saved)

Precisions

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

ival-mult: 5.0ms (38% of total)

ival-div: 2.0ms (15.2% of total)

ival-pow: 2.0ms (15.2% of total)

ival-add: 1.0ms (7.6% of total)

ival-sin: 1.0ms (7.6% of total)

ival-tan: 1.0ms (7.6% of total)

ival-neg: 1.0ms (7.6% of total)

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

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

exact: 0.0ms (0% of total)

bsearch20.0ms (0.1%)

Memory

-24.9MiB live, 26.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.0392040783509881	412.2103428298029

Samples

14.0ms

80×

valid

Compiler

Compiled 433 to 258 computations (40.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-pow: 5.0ms (43.1% of total)

ival-div: 2.0ms (17.2% of total)

ival-mult: 2.0ms (17.2% of total)

ival-add: 1.0ms (8.6% of total)

ival-sin: 1.0ms (8.6% of total)

ival-tan: 1.0ms (8.6% of total)

ival-neg: 1.0ms (8.6% of total)

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

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

exact: 0.0ms (0% of total)

bsearch29.0ms (0.2%)

Memory

9.2MiB live, 47.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	11.608523697518967	22286718222.19435
25.0ms	-1279324.1574920155	-10300.566523765347

Samples

17.0ms	112×	0	valid
1.0ms	9×	0	invalid

Compiler

Compiled 1 131 to 639 computations (43.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 3.0ms (20.5% of total)

ival-div: 2.0ms (13.7% of total)

ival-add: 2.0ms (13.7% of total)

ival-sin: 2.0ms (13.7% of total)

ival-tan: 2.0ms (13.7% of total)

ival-pow: 2.0ms (13.7% of total)

ival-neg: 1.0ms (6.8% 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

-22.7MiB live, 15.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	11.608523697518967	22286718222.19435
1.0ms	-1279324.1574920155	-10300.566523765347

Samples

7.0ms	32×	0	valid
0.0ms	1×	0	invalid

Compiler

Compiled 1 095 to 612 computations (44.1% saved)

Precisions

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

ival-div: 2.0ms (35.1% of total)

ival-mult: 1.0ms (17.5% of total)

ival-sin: 1.0ms (17.5% of total)

ival-tan: 1.0ms (17.5% of total)

ival-pow: 1.0ms (17.5% of total)

ival-add: 0.0ms (0% 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)

bsearch10.0ms (0.1%)

Memory

15.5MiB live, 15.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	11.608523697518967	22286718222.19435
8.0ms	-1279324.1574920155	-10300.566523765347

Samples

5.0ms	32×	0	valid
0.0ms	3×	0	invalid

Compiler

Compiled 871 to 516 computations (40.8% saved)

Precisions

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

ival-div: 1.0ms (22.4% of total)

ival-mult: 1.0ms (22.4% of total)

ival-sin: 1.0ms (22.4% of total)

ival-tan: 1.0ms (22.4% of total)

ival-pow: 1.0ms (22.4% of total)

ival-add: 0.0ms (0% 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)

bsearch23.0ms (0.1%)

Memory

-6.2MiB live, 31.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	11.608523697518967	22286718222.19435
1.0ms	-1279324.1574920155	-10300.566523765347

Samples

14.0ms	80×	0	valid
1.0ms	8×	0	invalid

Compiler

Compiled 839 to 500 computations (40.4% saved)

Precisions

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

ival-tan: 4.0ms (31.2% of total)

ival-div: 2.0ms (15.6% of total)

ival-mult: 2.0ms (15.6% of total)

ival-sin: 2.0ms (15.6% of total)

ival-pow: 2.0ms (15.6% of total)

ival-add: 1.0ms (7.8% of total)

ival-neg: 1.0ms (7.8% of total)

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

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

exact: 0.0ms (0% of total)

bsearch34.0ms (0.2%)

Memory

3.0MiB live, 43.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	11.608523697518967	22286718222.19435
4.0ms	-1279324.1574920155	-10300.566523765347

Samples

22.0ms	112×	0	valid
2.0ms	16×	0	invalid

Compiler

Compiled 839 to 500 computations (40.4% saved)

Precisions

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

ival-add: 7.0ms (34.3% of total)

ival-mult: 3.0ms (14.7% of total)

ival-tan: 3.0ms (14.7% of total)

ival-div: 2.0ms (9.8% of total)

ival-sin: 2.0ms (9.8% of total)

ival-pow: 2.0ms (9.8% of total)

ival-neg: 1.0ms (4.9% of total)

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

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

exact: 0.0ms (0% of total)

bsearch40.0ms (0.2%)

Memory

21.4MiB live, 59.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
35.0ms	9.482832314959681e+36	8.648350397529579e+54
1.0ms	-1279324.1574920155	-10300.566523765347

Samples

26.0ms	160×	0	valid
2.0ms	11×	0	invalid

Compiler

Compiled 900 to 553 computations (38.6% saved)

Precisions

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

ival-add: 4.0ms (17.7% of total)

ival-mult: 4.0ms (17.7% of total)

ival-tan: 4.0ms (17.7% of total)

ival-div: 3.0ms (13.3% of total)

ival-sin: 3.0ms (13.3% of total)

ival-pow: 3.0ms (13.3% 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)

bsearch4.0ms (0%)

Memory

7.1MiB live, 7.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	predicate-same

Steps

Time	Left	Right
0.0ms	11.608523697518967	22286718222.19435
3.0ms	-2.4693577839670523e+80	-8.40867505284592e+70

Samples

2.0ms	16×	0	valid
0.0ms	2×	0	invalid

Compiler

Compiled 129 to 86 computations (33.3% saved)

Precisions

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

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

ival-add: 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)

bsearch10.0ms (0.1%)

Memory

-25.1MiB live, 12.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	predicate-same

Steps

Time	Left	Right
4.0ms	5.56112502948792e+22	5.191639987377943e+27
5.0ms	-7.013782163559655e+117	-4.576184681209618e+114

Samples

7.0ms	32×	0	valid
0.0ms	1×	0	invalid

Compiler

Compiled 105 to 69 computations (34.3% saved)

Precisions

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

ival-tan: 3.0ms (49.4% of total)

ival-div: 1.0ms (16.5% of total)

ival-mult: 1.0ms (16.5% of total)

ival-sin: 1.0ms (16.5% of total)

ival-pow: 1.0ms (16.5% of total)

ival-add: 0.0ms (0% 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)

bsearch44.0ms (0.3%)

Memory

27.1MiB live, 64.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
29.0ms	2.5375365304436176e-15	3.4080862086290525e-12
10.0ms	-1279324.1574920155	-10300.566523765347

Samples

27.0ms	176×	0	valid
4.0ms	18×	0	invalid

Compiler

Compiled 633 to 401 computations (36.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 6.0ms (23.5% of total)

ival-div: 4.0ms (15.6% of total)

ival-sin: 4.0ms (15.6% of total)

ival-tan: 4.0ms (15.6% of total)

ival-pow: 3.0ms (11.7% of total)

ival-add: 2.0ms (7.8% of total)

ival-neg: 1.0ms (3.9% of total)

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

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

exact: 0.0ms (0% of total)

bsearch38.0ms (0.2%)

Memory

-4.9MiB live, 36.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.5375365304436176e-15	3.4080862086290525e-12
34.0ms	-1202.9221300753998	-6.505504092844621e-6

Samples

17.0ms	112×	0	valid
11.0ms	13×	0	invalid

Compiler

Compiled 640 to 397 computations (38% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 13.0ms (52.2% of total)

ival-tan: 3.0ms (12% of total)

ival-div: 2.0ms (8% of total)

ival-add: 2.0ms (8% of total)

ival-sin: 2.0ms (8% of total)

ival-pow: 2.0ms (8% of total)

ival-neg: 1.0ms (4% of total)

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

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

exact: 0.0ms (0% of total)

bsearch35.0ms (0.2%)

Memory

-10.1MiB live, 65.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
31.0ms	0.01481798340832995	11.608523697518967
1.0ms	-1202.9221300753998	-6.505504092844621e-6

Samples

23.0ms	128×	0	valid
3.0ms	22×	0	invalid

Compiler

Compiled 560 to 349 computations (37.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 5.0ms (23.8% of total)

ival-pow: 4.0ms (19% of total)

ival-div: 3.0ms (14.3% of total)

ival-sin: 3.0ms (14.3% of total)

ival-tan: 3.0ms (14.3% of total)

ival-add: 2.0ms (9.5% of total)

ival-neg: 1.0ms (4.8% of total)

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

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

exact: 0.0ms (0% of total)

bsearch24.0ms (0.1%)

Memory

20.9MiB live, 55.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.01481798340832995	11.608523697518967
14.0ms	-1202.9221300753998	-6.505504092844621e-6

Samples

12.0ms	80×	0	valid
2.0ms	11×	0	invalid

Compiler

Compiled 475 to 298 computations (37.3% saved)

Precisions

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

ival-div: 2.0ms (18.2% of total)

ival-mult: 2.0ms (18.2% of total)

ival-sin: 2.0ms (18.2% of total)

ival-tan: 2.0ms (18.2% of total)

ival-pow: 2.0ms (18.2% 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)

bsearch113.0ms (0.7%)

Memory

-9.9MiB live, 107.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
56.0ms	2.944825782729613e-79	4.645500468404098e-76
50.0ms	-1.1770385394437879e-117	-1.3988795499164438e-120

Samples

63.0ms	256×	0	valid
5.0ms	34×	0	invalid

Compiler

Compiled 369 to 234 computations (36.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-sin: 22.0ms (37.6% of total)

ival-neg: 9.0ms (15.4% of total)

ival-mult: 7.0ms (12% of total)

ival-tan: 6.0ms (10.3% of total)

ival-div: 5.0ms (8.5% of total)

ival-pow: 5.0ms (8.5% of total)

ival-add: 4.0ms (6.8% 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

2.3MiB live, 2.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.1770385394437879e-117	-1.3988795499164438e-120

Compiler

Compiled 201 to 130 computations (35.3% saved)

bsearch43.0ms (0.3%)

Memory

6.6MiB live, 85.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
40.0ms	-7.069418847842972e+56	-1.064680429813665e+46

Samples

30.0ms	160×	0	valid
1.0ms	8×	0	invalid

Compiler

Compiled 233 to 146 computations (37.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-sin: 8.0ms (30.5% of total)

ival-mult: 4.0ms (15.3% of total)

ival-tan: 4.0ms (15.3% of total)

ival-div: 3.0ms (11.5% of total)

ival-pow: 3.0ms (11.5% of total)

ival-add: 2.0ms (7.6% of total)

ival-neg: 1.0ms (3.8% of total)

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

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

exact: 0.0ms (0% of total)

simplify39.0ms (0.2%)

Memory

-0.0MiB live, 77.3MiB allocated

Algorithm

1×	egg-herbie

Rules

54×	`*-commutative_binary64`
44×	`+-commutative_binary64`
40×	`sub-neg_binary64`
16×	`neg-sub0_binary64`
16×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	343	3541
1	391	3538
2	426	3538
3	439	3538
4	449	3538
5	450	3538

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 F #s(literal -64999999999999997902848 binary64)) (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 200000000 binary64)) (-.f64 (/.f64 F (.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) (/.f64 x (tan.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)))))
(if (<=.f64 F #s(literal -64999999999999997902848 binary64)) (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 105000000 binary64)) (-.f64 (/.f64 F (.f64 #s(approx (sqrt (+ ( F F) (+ (* 2 x) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B))) (/.f64 x (tan.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)))))
(if (<=.f64 F #s(literal -1200 binary64)) (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 2800 binary64)) (-.f64 #s(approx (/ (/ F (sqrt (+ (* F F) (+ (* 2 x) 2)))) (sin B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (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)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B)))))
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Outputs
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(if (<=.f64 F #s(literal -6530191663593343/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552 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 5703700733736561/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016 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)) #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 -6530191663593343/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552 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)) #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)))
(if (<=.f64 F #s(literal -5699999999999999682013836454687553050891035607040 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)) #s(approx (- -1 x) #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)) #s(approx (- -1 x) #s(literal -1 binary64))) B))

soundness2.8s (17.7%)

Memory

-92.8MiB live, 2 177.9MiB allocated

Rules

19 798×	`lower-fma.f64`
19 798×	`lower-fma.f32`
14 698×	`lower-fma.f64`
14 698×	`lower-fma.f32`
12 332×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	306
0	84	291
1	338	265
2	1985	265
0	8442	265
0	85	598
0	135	540
1	575	492
2	4813	491
0	8118	487
0	20	71
0	37	67
1	122	66
2	789	66
0	8296	58
0	1144	23048
1	3654	22464
0	8398	20476
0	948	18644
1	3001	17844
0	9141	16390
0	1127	19139
1	3410	18258
0	8871	16703
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×	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

Compiler

Compiled 4 199 to 1 915 computations (54.4% saved)

preprocess279.0ms (1.7%)

Memory: 19.1MiB live, 249.1MiB allocated
Remove: (negabs B)
Compiler: Compiled 2 884 to 584 computations (79.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated