Metrics for Ian Simplification

analyze4.0ms (0%)

Memory

4.8MiB live, 4.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 15 to 13 computations (13.3% saved)

sample3.5s (21.3%)

Memory

14.9MiB live, 3 392.1MiB allocated

Samples

1.8s	3 175×	2	valid
1.2s	4 795×	1	valid
23.0ms	286×	0	valid
0.0ms	6×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 2.7s

ival-asin: 1.2s (43.4% of total)

ival-sub: 472.0ms (17.6% of total)

ival-div: 338.0ms (12.6% of total)

adjust: 262.0ms (9.8% of total)

ival-sqrt: 153.0ms (5.7% of total)

ival-mult: 152.0ms (5.7% of total)

ival-pi: 116.0ms (4.3% of total)

exact: 9.0ms (0.3% of total)

ival-true: 7.0ms (0.3% of total)

ival-assert: 4.0ms (0.1% of total)

Bogosity

preprocess38.0ms (0.2%)

Memory

-3.2MiB live, 34.3MiB allocated

Algorithm

1×	egg-herbie

Rules

212×	`lower-fma.f64`
212×	`lower-fma.f32`
136×	`lower-*.f32`
134×	`lower-*.f64`
96×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	33	27
2	72	26
3	160	26
4	261	26
5	367	26
6	433	26
7	485	26
8	495	26
0	11	13
0	19	13
1	34	13
2	48	13
3	67	13
4	96	13
5	132	13
6	191	13
7	253	13
8	308	13
9	348	13
10	366	13
0	366	11

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))

Outputs

(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))

(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))

explain422.0ms (2.6%)

Memory

15.2MiB live, 475.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
254	-	1	(-0.033060077603653065)	`(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))`
0	-	0	-	`(/.f64 (PI.f64) #s(literal 2 binary64))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(-.f64 #s(literal 1 binary64) x)`
0	-	0	-	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))`
0	-	0	-	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))`
0	-	0	-	`(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))`
0	-	0	-	`x`
0	-	0	-	`(PI.f64)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))`	cancellation	253	1

Confusion

	Predicted +	Predicted -
+	253	0
-	0	3

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	253	0	0
-	0	1	2

Precision?

0.9960629921259843

Recall?

1.0

Freqs

test

number	freq
0	3
1	253

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

164.0ms	286×	1	valid
157.0ms	210×	2	valid
1.0ms	16×	0	valid

Compiler

Compiled 132 to 48 computations (63.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 281.0ms

adjust: 109.0ms (38.8% of total)

ival-asin: 73.0ms (26% of total)

ival-sqrt: 49.0ms (17.4% of total)

ival-div: 16.0ms (5.7% of total)

ival-sub: 12.0ms (4.3% of total)

ival-pi: 10.0ms (3.6% of total)

ival-mult: 10.0ms (3.6% of total)

ival-true: 1.0ms (0.4% of total)

exact: 1.0ms (0.4% of total)

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.1%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))

Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify20.0ms (0.1%)

Memory

9.5MiB live, 44.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(PI.f64)
✓	cost-diff	128	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
✓	cost-diff	384	(/.f64 (PI.f64) #s(literal 2 binary64))
✓	cost-diff	512	(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))

Rules

212×	`lower-fma.f64`
212×	`lower-fma.f32`
136×	`lower-*.f32`
134×	`lower-*.f64`
96×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	50
0	19	50
1	34	50
2	48	50
3	67	50
4	96	50
5	132	50
6	191	50
7	253	50
8	308	50
9	348	50
10	366	50
0	366	44

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

Outputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

localize123.0ms (0.7%)

Memory

-7.0MiB live, 200.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	98.5%	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
✓	accuracy	7.8%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))

Samples

51.0ms	105×	2	valid
51.0ms	143×	1	valid
1.0ms	8×	0	valid

Compiler

Compiled 52 to 13 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-asin: 42.0ms (47.9% of total)

ival-sub: 17.0ms (19.4% of total)

ival-div: 8.0ms (9.1% of total)

adjust: 8.0ms (9.1% of total)

ival-sqrt: 5.0ms (5.7% of total)

ival-mult: 4.0ms (4.6% of total)

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

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

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

exact: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory

-28.0MiB live, 12.3MiB allocated

Counts

6 → 48

Calls

Call 1

Inputs
#<alt (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))>
#<alt (/.f64 (PI.f64) #s(literal 2 binary64))>
#<alt (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))>
#<alt (PI.f64)>
#<alt (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))>

Outputs
#<alt 1/2>
#<alt (+ 1/2 (* -1/2 x))>
#<alt (+ 1/2 (* -1/2 x))>
#<alt (+ 1/2 (* -1/2 x))>
#<alt (* -1/2 x)>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* -1/2 x)>
#<alt (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))>
#<alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))>
#<alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))>
#<alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))>
#<alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))>
#<alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))>
#<alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))>
#<alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))>
#<alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))>
#<alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))>
#<alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))>
#<alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))>
#<alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))>
#<alt (asin (* (sqrt 1/2) (sqrt (- 1 x))))>
#<alt (asin (* (sqrt 1/2) (sqrt (- 1 x))))>
#<alt (asin (* (sqrt 1/2) (sqrt (- 1 x))))>
#<alt (asin (* (sqrt 1/2) (sqrt (- 1 x))))>
#<alt (asin (* (sqrt 1/2) (sqrt (- 1 x))))>
#<alt (asin (* (sqrt 1/2) (sqrt (- 1 x))))>
#<alt (asin (* (sqrt 1/2) (sqrt (- 1 x))))>
#<alt (asin (* (sqrt 1/2) (sqrt (- 1 x))))>
#<alt (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))>
#<alt (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))>
#<alt (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))>
#<alt (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2))))>
#<alt (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2))))))>
#<alt (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2))))))))>
#<alt (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))>
#<alt (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))>
#<alt (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))>
#<alt (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))>
#<alt (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))>

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(sqrt (/ (- 1 x) 2))
1.0ms	x	@	-inf	(sqrt (/ (- 1 x) 2))
1.0ms	x	@	inf	(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2)))))
1.0ms	x	@	0	(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2)))))
0.0ms	x	@	inf	(/ (- 1 x) 2)

simplify560.0ms (3.4%)

Memory

25.1MiB live, 974.7MiB allocated

Algorithm

1×	egg-herbie

Rules

29 870×	`lower-fma.f64`
29 870×	`lower-fma.f32`
6 854×	`lower-*.f64`
6 854×	`lower-*.f32`
2 358×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	644
1	288	613
2	888	597
3	2697	580
4	6151	580
0	8453	543

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
1/2
(+ 1/2 (* -1/2 x))
(+ 1/2 (* -1/2 x))
(+ 1/2 (* -1/2 x))
(* -1/2 x)
(* x (- (* 1/2 (/ 1 x)) 1/2))
(* x (- (* 1/2 (/ 1 x)) 1/2))
(* x (- (* 1/2 (/ 1 x)) 1/2))
(* -1/2 x)
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2))))
(+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2))))))
(+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2))))))))
(* (sqrt x) (* (sqrt -1) (sqrt 1/2)))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/2 x))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 x))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 x))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* x (- (* 1/2 (/ 1 x)) 1/2))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
(* x (- (* 1/2 (/ 1 x)) 1/2))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
(* x (- (* 1/2 (/ 1 x)) 1/2))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(fma.f64 (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(fma.f64 (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(fma.f64 (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(fma.f64 (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(fma.f64 (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(fma.f64 (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(fma.f64 (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(fma.f64 (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
(fma.f64 (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
(fma.f64 (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
(fma.f64 (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
(fma.f64 (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
(+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2))))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))))
(+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2))))))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (.f64 x x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
(* (sqrt x) (* (sqrt -1) (sqrt 1/2)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))
(.f64 x (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/8 binary64))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
(.f64 x (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/8 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
(neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
(neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))

rewrite343.0ms (2.1%)

Memory

-24.8MiB live, 513.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 926×	`lower-fma.f64`
7 926×	`lower-fma.f32`
4 770×	`lower-*.f32`
4 768×	`lower-*.f64`
2 994×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	35
0	19	35
1	89	35
2	626	35
3	7268	35
0	8211	30

Stop Event

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

Counts

6 → 423

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(PI.f64)
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))

Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (neg.f64 x)))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 x x) (/.f64 x (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 x) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(neg.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(neg.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -1/2 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 x (neg.f64 x)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))
(/.f64 (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)))
(/.f64 (fma.f64 x (.f64 x (neg.f64 x)) #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal -2 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x (neg.f64 x)) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x (neg.f64 x)) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (neg.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 #s(literal 2 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 x (neg.f64 x)) #s(literal 1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) x))
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(/.f64 (sqrt.f64 (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (fma.f64 x (.f64 x (neg.f64 x)) #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (sqrt.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 x (neg.f64 x)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x (.f64 x (neg.f64 x)) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 #s(literal -2 binary64))))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x (.f64 x (neg.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x (.f64 x (neg.f64 x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (pow.f64 #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))

eval73.0ms (0.4%)

Memory: 13.5MiB live, 129.6MiB allocated
Compiler: Compiled 12 038 to 1 847 computations (84.7% saved)

prune89.0ms (0.5%)

Memory

-7.3MiB live, 159.6MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	454	17	471
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	455	17	472

Accuracy

9.4%

Counts

472 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.0%	(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
	6.1%	(fma.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) #s(literal 1/8 binary64))) (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) #s(literal 1/64 binary64) (pow.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))) #s(literal 3 binary64)))) (fma.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))) (-.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)))) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))))
	6.1%	(fma.f64 (/.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (fma.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) #s(literal 1/8 binary64))))) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))))))
▶	6.1%	(fma.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))))
	6.1%	(fma.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))))))
	6.1%	(fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
▶	6.1%	(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
	6.1%	(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) #s(literal 1/8 binary64)))) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))
▶	6.1%	(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) #s(literal 1/8 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (neg.f64 (.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))))
▶	6.1%	(/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
	6.1%	(/.f64 (-.f64 (.f64 (/.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (/.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))))) (.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64)))))) (fma.f64 (PI.f64) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))))))
	6.1%	(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) #s(literal 1/64 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (.f64 (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))) (fma.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))))
	6.1%	(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 4 binary64))) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
	6.1%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64)))))
▶	7.8%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
	6.2%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
	6.1%	(.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64)))))

Compiler

Compiled 1 658 to 708 computations (57.3% saved)

simplify422.0ms (2.6%)

Memory

13.8MiB live, 367.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)))
✓	cost-diff	128	(neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))))
✓	cost-diff	17280	(fma.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))))
✓	cost-diff	0	(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))
✓	cost-diff	0	(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) #s(literal 1/8 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (neg.f64 (.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))))
✓	cost-diff	576	(-.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (neg.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
✓	cost-diff	6144	(fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (neg.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
✓	cost-diff	0	(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
✓	cost-diff	0	(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
✓	cost-diff	0	(fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))))
✓	cost-diff	0	(/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
✓	cost-diff	0	(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
✓	cost-diff	0	(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
✓	cost-diff	0	(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
✓	cost-diff	0	(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	192	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
✓	cost-diff	384	(/.f64 (PI.f64) #s(literal 2 binary64))
✓	cost-diff	448	(*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))

Rules

9 044×	`lower-fma.f32`
9 024×	`lower-fma.f64`
3 990×	`lower-*.f32`
3 970×	`lower-*.f64`
1 400×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	627
0	92	610
1	176	591
2	402	578
3	1133	578
4	2688	576
5	5734	576
6	7907	576
0	8136	573

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
#s(literal 1/2 binary64)
(neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
x
#s(literal -1/2 binary64)
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
x
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
#s(literal -2 binary64)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
(/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))))
#s(literal -4 binary64)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
x
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)))
(PI.f64)
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) #s(literal 1/8 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (neg.f64 (.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
x
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
#s(literal 3 binary64)
#s(literal -8 binary64)
(.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64)))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
(*.f64 (PI.f64) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (neg.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
#s(literal 4 binary64)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (neg.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(neg.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))))
(.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)))
(PI.f64)
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
x
#s(literal -1/2 binary64)
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))))
(/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))
(pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(literal 2 binary64)
#s(literal 3 binary64)

Outputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(literal 1/2 binary64)
(neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
x
#s(literal -1/2 binary64)
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
x
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
#s(literal -2 binary64)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
(/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))))
(fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
#s(literal -4 binary64)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
x
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)))
(.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(PI.f64)
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) #s(literal 1/8 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (neg.f64 (.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) #s(literal 1/8 binary64)))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
x
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
#s(literal 3 binary64)
#s(literal -8 binary64)
(.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64)))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
(*.f64 (PI.f64) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (neg.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))
#s(literal 4 binary64)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (neg.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(*.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)))
(.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(neg.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 (PI.f64)))
(*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) #s(literal 1/8 binary64)))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))
(.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)))
(.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(PI.f64)
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))
(/.f64 (PI.f64) (.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))) #s(literal 2 binary64)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))
(fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
x
#s(literal -1/2 binary64)
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))))
(/.f64 (pow.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))
(/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))
(/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))
(pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(literal 2 binary64)
#s(literal 3 binary64)

localize459.0ms (2.8%)

Memory

20.9MiB live, 691.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.5%	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))
✓	accuracy	98.5%	(/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))
✓	accuracy	98.4%	(pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64))
✓	accuracy	6.3%	(fma.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))))
✓	accuracy	98.5%	(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
✓	accuracy	98.4%	(.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64)))
✓	accuracy	98.4%	(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
✓	accuracy	7.8%	(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))
✓	accuracy	100.0%	(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
✓	accuracy	99.6%	(/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
✓	accuracy	98.5%	(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
✓	accuracy	7.8%	(fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))))
✓	accuracy	100.0%	(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	98.5%	(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
✓	accuracy	7.8%	(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	100.0%	(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
✓	accuracy	100.0%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
✓	accuracy	7.8%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))

Samples

180.0ms	105×	2	valid
143.0ms	143×	1	valid
3.0ms	8×	0	valid

Compiler

Compiled 712 to 57 computations (92% saved)

Precisions

Click to see histograms. Total time spent on operations: 257.0ms

ival-mult: 58.0ms (22.6% of total)

adjust: 36.0ms (14% of total)

ival-asin: 34.0ms (13.3% of total)

ival-acos: 34.0ms (13.3% of total)

ival-add: 34.0ms (13.3% of total)

ival-div: 19.0ms (7.4% of total)

ival-pow: 12.0ms (4.7% of total)

ival-neg: 9.0ms (3.5% of total)

ival-pow2: 7.0ms (2.7% of total)

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

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

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

exact: 1.0ms (0.4% of total)

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

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

series43.0ms (0.3%)

Memory

5.3MiB live, 42.9MiB allocated

Counts

25 → 252

Calls

Call 1

Inputs
#<alt (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))>
#<alt (/.f64 (PI.f64) #s(literal 2 binary64))>
#<alt (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))>
#<alt (PI.f64)>
#<alt (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))>
#<alt (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))>
#<alt (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))>
#<alt (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))>
#<alt (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))>
#<alt (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))))>
#<alt (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))>
#<alt (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (neg.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))>
#<alt (-.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (neg.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))>
#<alt (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) #s(literal 1/8 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (neg.f64 (.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))))>
#<alt (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))>
#<alt (fma.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))))>
#<alt (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))))>
#<alt (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)))>
#<alt (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))>
#<alt (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))>
#<alt (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))>
#<alt (.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64)))>
#<alt (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64))>
#<alt (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))>
#<alt (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))>

Outputs
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (- 1/2 (* 1/2 x))))>
#<alt (asin (sqrt (- 1/2 (* 1/2 x))))>
#<alt (asin (sqrt (- 1/2 (* 1/2 x))))>
#<alt (asin (sqrt (- 1/2 (* 1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2))))>
#<alt (+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2))))))>
#<alt (+ (sqrt 1/2) (* x (- (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 1/2))))))>
#<alt (* (sqrt x) (sqrt -1/2))>
#<alt (* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2))))>
#<alt (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1/2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2)))))>
#<alt (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1/2) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1/2) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2))))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))>
#<alt (* -1 (* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))>
#<alt (* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))>
#<alt (* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (pow (sqrt 1/2) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/2 x))>
#<alt (+ 1/2 (* -1/2 x))>
#<alt (+ 1/2 (* -1/2 x))>
#<alt (* -1/2 x)>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* -1/2 x)>
#<alt (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))>
#<alt (/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (/ (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (/ (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (/ (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (/ (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)>
#<alt (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)>
#<alt (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)>
#<alt (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)>
#<alt (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)>
#<alt (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* (PI) (asin (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* (PI) (asin (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* (PI) (asin (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* (PI) (asin (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (PI) (asin (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (PI) (asin (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (PI) (asin (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (PI) (asin (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (/ (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (/ (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (/ (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (/ (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (/ (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* (PI) (asin (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (/ (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* (PI) (asin (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (/ (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* (PI) (asin (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (/ (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* (PI) (asin (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (/ (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (/ (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (/ (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (/ (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))>
#<alt (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))>
#<alt (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))>
#<alt (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))>
#<alt (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))>
#<alt (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))>
#<alt (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))>
#<alt (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))>
#<alt (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))>
#<alt (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))>
#<alt (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))>
#<alt (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))>
#<alt (- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))>
#<alt (- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))>
#<alt (- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))>
#<alt (- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))>
#<alt (- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))) (* 8 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))))>
#<alt (- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))) (* 8 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))))>
#<alt (- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))) (* 8 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))))>
#<alt (- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))) (* 8 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))))>
#<alt (- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))>
#<alt (- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))>
#<alt (- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))>
#<alt (- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))>
#<alt (* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))>
#<alt (* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))>
#<alt (* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))>
#<alt (* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))>
#<alt (* -8 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))>
#<alt (* -8 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))>
#<alt (* -8 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))>
#<alt (* -8 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))>
#<alt (* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))>
#<alt (* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))>
#<alt (* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))>
#<alt (* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))>
#<alt (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))>
#<alt (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))>
#<alt (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))>
#<alt (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))>
#<alt (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (acos (sqrt (- 1/2 (* 1/2 x))))>
#<alt (acos (sqrt (- 1/2 (* 1/2 x))))>
#<alt (acos (sqrt (- 1/2 (* 1/2 x))))>
#<alt (acos (sqrt (- 1/2 (* 1/2 x))))>
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)>
#<alt (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)>
#<alt (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)>
#<alt (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)>
#<alt (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)>
#<alt (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))>
#<alt (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))>
#<alt (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))>
#<alt (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))>
#<alt (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))>
#<alt (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))>
#<alt (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))>
#<alt (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))>
#<alt (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))>
#<alt (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))>
#<alt (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))>
#<alt (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))>
#<alt (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))>
#<alt (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))>
#<alt (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))>
#<alt (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))>
#<alt (* 8 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))>
#<alt (* 8 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))>
#<alt (* 8 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))>
#<alt (* 8 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))>
#<alt (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))>
#<alt (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))>
#<alt (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))>
#<alt (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))>
#<alt (* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))>
#<alt (* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))>
#<alt (* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))>
#<alt (* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))>
#<alt (* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))>
#<alt (* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))>
#<alt (* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))>
#<alt (* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))>
#<alt (* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))>
#<alt (* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))>
#<alt (* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))>
#<alt (* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))>

Calls

63 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* (PI) 1/2))
4.0ms	x	@	inf	(/ (+ (* (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3) -8) (* (* (PI) (PI)) (* (PI) 1/8))) (+ (* 4 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2)) (- (* (PI) (* 1/4 (PI))) (neg (* (PI) (asin (sqrt (+ (* x -1/2) 1/2))))))))
3.0ms	x	@	inf	(+ (* (* (PI) (* 1/4 (PI))) (/ (* (PI) 1/2) (+ (* (PI) (* 1/4 (PI))) (* (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 4) (PI)))))) (neg (/ (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 3) (+ (* (PI) (* 1/4 (PI))) (* (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 4) (PI)))))))
3.0ms	x	@	-inf	(+ (* (* (PI) (* 1/4 (PI))) (/ (* (PI) 1/2) (+ (* (PI) (* 1/4 (PI))) (* (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 4) (PI)))))) (neg (/ (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 3) (+ (* (PI) (* 1/4 (PI))) (* (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 4) (PI)))))))
3.0ms	x	@	0	(+ (* (* (PI) (* 1/4 (PI))) (/ (* (PI) 1/2) (+ (* (PI) (* 1/4 (PI))) (* (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 4) (PI)))))) (neg (/ (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 3) (+ (* (PI) (* 1/4 (PI))) (* (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 4) (PI)))))))

simplify526.0ms (3.2%)

Memory

-8.1MiB live, 621.2MiB allocated

Algorithm

1×	egg-herbie

Rules

21 556×	`lower-fma.f64`
21 556×	`lower-fma.f32`
5 782×	`lower-*.f64`
5 782×	`lower-*.f32`
1 934×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	188	5138
1	479	5050
2	1143	5018
3	3177	4927
4	6930	4927
0	8103	4278

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

Inputs
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))
(* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))
(* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))
(* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))
(* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
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(* -8 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))
(* -8 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))
(* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))
(- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))
(- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))
(- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))
(- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (- 1/2 (* 1/2 x))))
(acos (sqrt (- 1/2 (* 1/2 x))))
(acos (sqrt (- 1/2 (* 1/2 x))))
(acos (sqrt (- 1/2 (* 1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
(pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)
(pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)
(pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)
(pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))
(* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))
(* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))
(* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* 8 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))
(* 8 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))
(* 8 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))
(* 8 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))
(* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))
(* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))
(* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))
(* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))
(* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))

Outputs
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64))
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64))
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64))
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64))
(* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64))
(* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64))
(* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64))
(* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64))
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64))
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64))
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64))
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(asin (sqrt (- 1/2 (* 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(asin (sqrt (- 1/2 (* 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(asin (sqrt (- 1/2 (* 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(asin (sqrt (- 1/2 (* 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2))))
(fma.f64 x (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2))))))
(fma.f64 (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
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(/.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(/.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(/.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(/.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))

rewrite563.0ms (3.4%)

Memory

15.6MiB live, 969.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 748×	`lower-fma.f32`
7 728×	`lower-fma.f64`
4 312×	`lower-*.f32`
4 294×	`lower-*.f64`
3 096×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	408
0	92	311
1	384	299
2	3590	299
0	9249	299

Stop Event

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

Counts

25 → 1 789

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(PI.f64)
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (neg.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(-.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (neg.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) #s(literal 1/8 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (neg.f64 (.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))
(fma.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))))
(neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))))
(.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64))
(/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))
(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))

Outputs
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(+.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (PI.f64))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal 2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (PI.f64))
(fma.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 #s(literal 2 binary64) (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (PI.f64) #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (PI.f64) (log.f64 (E.f64)) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64) (PI.f64))
(fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))
(fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 #s(literal 1 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64))) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (PI.f64)) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
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(.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (pow.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))) #s(literal 2 binary64)))) (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))) (PI.f64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(.f64 (pow.f64 (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))) (neg.f64 (PI.f64))) #s(literal -1 binary64)) #s(literal -1/2 binary64))

eval1.3s (8.2%)

Memory: -45.0MiB live, 1 333.9MiB allocated
Compiler: Compiled 257 807 to 12 019 computations (95.3% saved)

prune667.0ms (4.1%)

Memory

8.6MiB live, 1 048.4MiB allocated

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	4 759	16	4 775
Fresh	8	4	12
Picked	4	1	5
Done	0	0	0
Total	4 771	21	4 792

Accuracy

9.5%

Counts

4 792 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.0%	(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
	6.2%	(fma.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))))
	6.2%	(fma.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))))
	6.1%	(fma.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))))))
	6.1%	(fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
✓	6.1%	(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
▶	3.9%	(fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
	6.2%	(/.f64 (fma.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal -8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) #s(literal 1/8 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (neg.f64 (.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))))
	6.1%	(/.f64 (fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3/2 binary64)) (neg.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3/2 binary64))) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/8 binary64))))) (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (neg.f64 (.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))))
▶	6.1%	(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) #s(literal 1/8 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (neg.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))))
	6.1%	(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) #s(literal 1/8 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(approx (- ( (PI) (* 1/4 (PI))) (neg (* (PI) (asin (sqrt (+ (* x -1/2) 1/2)))))) (*.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))))
	6.1%	(/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) (.f64 (PI.f64) #s(literal 1/4 binary64))) (.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))))
	6.2%	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) #s(literal 3 binary64))) #s(literal -8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) #s(literal 1/8 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (neg.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))))
	6.1%	(/.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
	6.1%	(/.f64 (fma.f64 (.f64 #s(literal -4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))))
▶	7.8%	(/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
▶	6.1%	(/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))))
	6.1%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64)))))
	6.2%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
	1.5%	(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
	7.8%	#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))

Compiler

Compiled 1 570 to 834 computations (46.9% saved)

simplify302.0ms (1.8%)

Memory

29.4MiB live, 498.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))
✓	cost-diff	0	(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) #s(literal 1/8 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (neg.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))))
✓	cost-diff	576	(-.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (neg.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
✓	cost-diff	1600	(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
✓	cost-diff	0	(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
✓	cost-diff	0	(fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))))
✓	cost-diff	0	(/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))))
✓	cost-diff	1600	(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
✓	cost-diff	0	(*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(pow.f64 (PI.f64) #s(literal 2/3 binary64))
✓	cost-diff	0	(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
✓	cost-diff	0	#s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))
✓	cost-diff	0	(sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))
✓	cost-diff	0	(asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))))
✓	cost-diff	0	(fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
✓	cost-diff	0	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
✓	cost-diff	0	(pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
✓	cost-diff	0	(fma.f64 #s(literal -4 binary64) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))))
✓	cost-diff	0	(/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))

Rules

13 620×	`lower-fma.f32`
13 600×	`lower-fma.f64`
3 672×	`lower-*.f32`
3 650×	`lower-*.f64`
2 196×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	572
0	107	540
1	170	534
2	297	525
3	668	525
4	2283	525
5	5357	525
0	8239	522

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 #s(literal -4 binary64) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))))
#s(literal -4 binary64)
(pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(PI.f64)
#s(literal 1/2 binary64)
(neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
x
#s(literal -1/2 binary64)
#s(literal 2 binary64)
(.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal -2 binary64)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(pow.f64 (PI.f64) #s(literal 2/3 binary64))
(PI.f64)
#s(literal 2/3 binary64)
(*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))
(cbrt.f64 (PI.f64))
#s(literal 1/2 binary64)
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
x
#s(literal -1/2 binary64)
#s(literal -2 binary64)
(/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))))
(fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))))
#s(literal -4 binary64)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
x
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)))
(PI.f64)
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) #s(literal 1/8 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (neg.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
x
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
#s(literal 3 binary64)
#s(literal -8 binary64)
(.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64)))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
(*.f64 (PI.f64) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(fma.f64 #s(literal 4 binary64) (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (neg.f64 (.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
#s(literal 4 binary64)
(pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
#s(literal 2 binary64)
(-.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (neg.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(neg.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))

Outputs
(/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 #s(literal -4 binary64) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))))
(fma.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
#s(literal -4 binary64)
(pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(PI.f64)
#s(literal 1/2 binary64)
(neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
x
#s(literal -1/2 binary64)
#s(literal 2 binary64)
(.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)))
(.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal -2 binary64)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (.f64 (cbrt.f64 (PI.f64)) (.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
(pow.f64 (PI.f64) #s(literal 2/3 binary64))
(PI.f64)
#s(literal 2/3 binary64)
(*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64)))
(cbrt.f64 (PI.f64))
#s(literal 1/2 binary64)
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
x
#s(literal -1/2 binary64)
#s(literal -2 binary64)
(/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))))
(fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))))
#s(literal -4 binary64)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
x
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)))
(.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(PI.f64)
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(PI.f64)
(sqrt.f64 (PI.f64))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) #s(literal 1/8 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (neg.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)))) (fma.f64 (pow.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64) (.f64 (PI.f64) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
x
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
#s(literal 3 binary64)
#s(literal -8 binary64)
(.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64)))
(.f64 (PI.f64) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
(*.f64 (PI.f64) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(fma.f64 #s(literal 4 binary64) (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (neg.f64 (.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(fma.f64 (pow.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
#s(literal 4 binary64)
(pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
#s(literal 2 binary64)
(-.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (neg.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(*.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)))
(.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(neg.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 (PI.f64)))
(*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))

localize590.0ms (3.6%)

Memory

9.0MiB live, 1 152.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	98.4%	(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
✓	accuracy	97.5%	(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
✓	accuracy	7.8%	(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))
✓	accuracy	98.5%	(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
✓	accuracy	98.4%	(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	7.8%	(fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	98.5%	(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
✓	accuracy	98.4%	(cbrt.f64 (PI.f64))
✓	accuracy	6.3%	(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	98.5%	(asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))))
✓	accuracy	98.2%	#s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))
✓	accuracy	7.8%	(fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
✓	accuracy	99.6%	(/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
✓	accuracy	98.5%	(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
✓	accuracy	7.8%	(fma.f64 #s(literal -4 binary64) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))))

Samples

240.0ms	105×	2	valid
197.0ms	143×	1	valid
4.0ms	8×	0	valid

Compiler

Compiled 633 to 63 computations (90% saved)

Precisions

Click to see histograms. Total time spent on operations: 362.0ms

ival-mult: 76.0ms (21% of total)

ival-acos: 47.0ms (13% of total)

ival-asin: 38.0ms (10.5% of total)

ival-pow: 37.0ms (10.2% of total)

adjust: 35.0ms (9.7% of total)

ival-pow2: 34.0ms (9.4% of total)

ival-add: 28.0ms (7.7% of total)

ival-div: 20.0ms (5.5% of total)

const: 13.0ms (3.6% of total)

ival-sqrt: 9.0ms (2.5% of total)

ival-neg: 6.0ms (1.7% of total)

ival-cbrt: 5.0ms (1.4% of total)

ival-fabs: 4.0ms (1.1% of total)

ival-sub: 4.0ms (1.1% of total)

ival-pi: 3.0ms (0.8% of total)

exact: 1.0ms (0.3% of total)

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

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

series15.0ms (0.1%)

Memory

-7.2MiB live, 31.5MiB allocated

Counts

24 → 216

Calls

Call 1

Inputs
#<alt (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))>
#<alt (fma.f64 #s(literal -4 binary64) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))))>
#<alt (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))>
#<alt (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))>
#<alt (fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))>
#<alt (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))))>
#<alt (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))>
#<alt #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))>
#<alt (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))>
#<alt (pow.f64 (PI.f64) #s(literal 2/3 binary64))>
#<alt (PI.f64)>
#<alt (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))>
#<alt (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))>
#<alt (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))))>
#<alt (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))))>
#<alt (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))>
#<alt (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))>
#<alt (-.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (neg.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))>
#<alt (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) #s(literal 1/8 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (neg.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))))>
#<alt (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))>
#<alt (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))>
#<alt (cbrt.f64 (PI.f64))>
#<alt (sqrt.f64 (PI.f64))>
#<alt (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))>

Outputs
#<alt (/ (+ (* -4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (/ (+ (* -4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (/ (+ (* -4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (/ (+ (* -4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (/ (+ (* -4 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (/ (+ (* -4 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (/ (+ (* -4 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (/ (+ (* -4 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (/ (+ (* -4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (/ (+ (* -4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (/ (+ (* -4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (/ (+ (* -4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (+ (* -4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -4 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -4 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -4 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -4 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)>
#<alt (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)>
#<alt (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)>
#<alt (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)>
#<alt (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2)>
#<alt (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2)>
#<alt (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2)>
#<alt (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2)>
#<alt (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)>
#<alt (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)>
#<alt (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)>
#<alt (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)>
#<alt (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))>
#<alt (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))>
#<alt (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))>
#<alt (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))>
#<alt (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (- 1/2 (* 1/2 x))))>
#<alt (asin (sqrt (- 1/2 (* 1/2 x))))>
#<alt (asin (sqrt (- 1/2 (* 1/2 x))))>
#<alt (asin (sqrt (- 1/2 (* 1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2))))>
#<alt (+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2))))))>
#<alt (+ (sqrt 1/2) (* x (- (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 1/2))))))>
#<alt (* (sqrt x) (sqrt -1/2))>
#<alt (* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2))))>
#<alt (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1/2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2)))))>
#<alt (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1/2) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1/2) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2))))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))>
#<alt (* -1 (* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))>
#<alt (* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))>
#<alt (* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (pow (sqrt 1/2) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/2 x))>
#<alt (+ 1/2 (* -1/2 x))>
#<alt (+ 1/2 (* -1/2 x))>
#<alt (* -1/2 x)>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* -1/2 x)>
#<alt (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))>
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))>
#<alt (/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (/ (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (/ (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (/ (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (/ (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)>
#<alt (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)>
#<alt (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)>
#<alt (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)>
#<alt (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)>
#<alt (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))>
#<alt (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))>
#<alt (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))>
#<alt (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))>
#<alt (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (PI) (asin (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (PI) (asin (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (PI) (asin (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (PI) (asin (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (/ (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)) (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (/ (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)) (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (/ (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)) (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (/ (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)) (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (/ (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2)) (* (PI) (asin (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (/ (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2)) (* (PI) (asin (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (/ (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2)) (* (PI) (asin (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (/ (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2)) (* (PI) (asin (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (/ (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)) (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (/ (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)) (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (/ (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)) (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (/ (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)) (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))>
#<alt (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))>
#<alt (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))>
#<alt (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))>
#<alt (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))>
#<alt (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))>
#<alt (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))>
#<alt (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))>
#<alt (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))>
#<alt (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))>
#<alt (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))>
#<alt (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (- 1/2 (* 1/2 x))))>
#<alt (asin (sqrt (- 1/2 (* 1/2 x))))>
#<alt (asin (sqrt (- 1/2 (* 1/2 x))))>
#<alt (asin (sqrt (- 1/2 (* 1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)>
#<alt (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)>
#<alt (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)>
#<alt (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)>
#<alt (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)>

Calls

54 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(+ (* (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3) -8) (* (* (PI) (PI)) (* (PI) 1/8)))
1.0ms	x	@	inf	(/ (+ (* -4 (pow (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))) 2)) (* (PI) (* 1/4 (PI)))) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))
1.0ms	x	@	-inf	(/ (+ (* -4 (pow (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))) 2)) (* (PI) (* 1/4 (PI)))) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))
1.0ms	x	@	0	(/ (+ (* -4 (pow (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))) 2)) (* (PI) (* 1/4 (PI)))) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))
1.0ms	x	@	inf	(/ (+ (* (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3) -8) (* (* (PI) (PI)) (* (PI) 1/8))) (+ (* 4 (pow (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (sqrt (+ (* x -1/2) 1/2))))) 2)) (- (* (PI) (* 1/4 (PI))) (neg (* (PI) (asin (sqrt (+ (* x -1/2) 1/2))))))))

simplify577.0ms (3.5%)

Memory

9.6MiB live, 729.5MiB allocated

Algorithm

1×	egg-herbie

Rules

21 930×	`lower-fma.f64`
21 930×	`lower-fma.f32`
6 100×	`lower-*.f64`
6 100×	`lower-*.f32`
1 910×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	165	3710
1	400	3694
2	1015	3638
3	2921	3619
4	6708	3619
0	8414	3198

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

Inputs
(/ (+ (* -4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))
(/ (+ (* -4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))
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(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)

Outputs
(/ (+ (* -4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))
(/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (.f64 #s(literal 1/2 binary64) (PI.f64))))
(/ (+ (* -4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))
(/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (.f64 #s(literal 1/2 binary64) (PI.f64))))
(/ (+ (* -4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))
(/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (.f64 #s(literal 1/2 binary64) (PI.f64))))
(/ (+ (* -4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))
(/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (.f64 #s(literal 1/2 binary64) (PI.f64))))
(/ (+ (* -4 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))
(/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (.f64 #s(literal 1/2 binary64) (PI.f64))))
(/ (+ (* -4 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))
(/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (.f64 #s(literal 1/2 binary64) (PI.f64))))
(/ (+ (* -4 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))
(/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (.f64 #s(literal 1/2 binary64) (PI.f64))))
(/ (+ (* -4 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))
(/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (.f64 #s(literal 1/2 binary64) (PI.f64))))
(/ (+ (* -4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))
(/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (.f64 #s(literal 1/2 binary64) (PI.f64))))
(/ (+ (* -4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))
(/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (.f64 #s(literal 1/2 binary64) (PI.f64))))
(/ (+ (* -4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))
(/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (.f64 #s(literal 1/2 binary64) (PI.f64))))
(/ (+ (* -4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))
(/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (.f64 #s(literal 1/2 binary64) (PI.f64))))
(+ (* -4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)) (* 1/4 (pow (PI) 2)))
(fma.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(+ (* -4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)) (* 1/4 (pow (PI) 2)))
(fma.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(+ (* -4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)) (* 1/4 (pow (PI) 2)))
(fma.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(+ (* -4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)) (* 1/4 (pow (PI) 2)))
(fma.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(+ (* -4 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2)) (* 1/4 (pow (PI) 2)))
(fma.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(+ (* -4 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2)) (* 1/4 (pow (PI) 2)))
(fma.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(+ (* -4 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2)) (* 1/4 (pow (PI) 2)))
(fma.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(+ (* -4 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2)) (* 1/4 (pow (PI) 2)))
(fma.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(+ (* -4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)) (* 1/4 (pow (PI) 2)))
(fma.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(+ (* -4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)) (* 1/4 (pow (PI) 2)))
(fma.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(+ (* -4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)) (* 1/4 (pow (PI) 2)))
(fma.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(+ (* -4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)) (* 1/4 (pow (PI) 2)))
(fma.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)
(pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)
(pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)
(pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)
(pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2)
(pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2)
(pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2)
(pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2)
(pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)
(pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)
(pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)
(pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)
(pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
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(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
(/ (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)) (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
(/ (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)) (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
(/ (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)) (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
(/ (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)) (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
(+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))
(fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))
(fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))
(fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))
(fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))
(fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))
(fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))
(fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))
(fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))
(fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))
(fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))
(fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))
(fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(asin (sqrt (- 1/2 (* 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(asin (sqrt (- 1/2 (* 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(asin (sqrt (- 1/2 (* 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(asin (sqrt (- 1/2 (* 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))

rewrite439.0ms (2.7%)

Memory

18.9MiB live, 748.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 234×	`lower-fma.f32`
8 216×	`lower-fma.f64`
4 348×	`lower-*.f32`
4 326×	`lower-*.f64`
3 188×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	304
0	107	300
1	387	252
2	2784	252
0	8650	251

Stop Event

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

Counts

24 → 1 084

Calls

Call 1

Inputs
(/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 #s(literal -4 binary64) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))))
(pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(pow.f64 (PI.f64) #s(literal 2/3 binary64))
(PI.f64)
(*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))))
(fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(-.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (neg.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) #s(literal 1/8 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (neg.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(cbrt.f64 (PI.f64))
(sqrt.f64 (PI.f64))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))))) #s(literal -1 binary64)))
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(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 1/6 binary64)))
(.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/6 binary64)) (pow.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 4/9 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 2/3 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 2/3 binary64)))
(.f64 (pow.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/6 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64)) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/9 binary64))) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fabs.f64 (sqrt.f64 (PI.f64)))
(fabs.f64 (neg.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(pow.f64 (PI.f64) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64)) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 #s(literal 2 binary64) (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(exp.f64 (fma.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3/2 binary64) (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3/2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 (PI.f64) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (neg.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))))) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (-.f64 (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (fma.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (neg.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (fma.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (neg.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (+.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (neg.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (fma.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (neg.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 3 binary64)) (pow.f64 (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (fma.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (neg.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (.f64 (PI.f64) #s(literal 1/2 binary64)))))) #s(literal 3 binary64)))
(.f64 (pow.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)))

eval572.0ms (3.5%)

Memory: 65.9MiB live, 1 063.3MiB allocated
Compiler: Compiled 126 923 to 7 461 computations (94.1% saved)

prune737.0ms (4.5%)

Memory

-65.4MiB live, 992.5MiB allocated

Pruning

22 alts after pruning (18 fresh and 4 done)

	Pruned	Kept	Total
New	2 689	6	2 695
Fresh	3	12	15
Picked	2	3	5
Done	0	1	1
Total	2 694	22	2 716

Accuracy

9.5%

Counts

2 716 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.1%	(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
	6.3%	(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal -2 binary64)))
✓	6.0%	(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
	6.1%	(fma.f64 (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 4/3 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 4/3 binary64))) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
	6.2%	(fma.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))))
▶	6.2%	(fma.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))))
▶	6.1%	(fma.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))))))
	6.1%	(fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
✓	6.1%	(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
✓	3.9%	(fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
	6.2%	(/.f64 (fma.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal -8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) #s(literal 1/8 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (neg.f64 (.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))))
	6.2%	(/.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (neg.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))))
	6.1%	(/.f64 (fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3/2 binary64)) (neg.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3/2 binary64))) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/8 binary64))))) (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (neg.f64 (.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))))
	6.1%	(/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) (.f64 (PI.f64) #s(literal 1/4 binary64))) (.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))))
	6.1%	(/.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (PI.f64) (pow.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (neg.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))))
▶	6.1%	(/.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
	6.1%	(/.f64 (fma.f64 (.f64 #s(literal -4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))))
	6.2%	(/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (.f64 #s(literal 1/4 binary64) (PI.f64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
✓	7.8%	(/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
▶	6.2%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
	1.5%	(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
▶	7.8%	#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))

Compiler

Compiled 1 439 to 800 computations (44.4% saved)

simplify246.0ms (1.5%)

Memory

27.6MiB live, 497.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)))
✓	cost-diff	320	(fma.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))))
✓	cost-diff	448	(*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 (PI.f64) (PI.f64))
✓	cost-diff	128	(neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64)))))
✓	cost-diff	8832	(fma.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))))))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 (PI.f64) #s(literal 1/4 binary64))
✓	cost-diff	0	(fma.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
✓	cost-diff	0	(/.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	128	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
✓	cost-diff	384	(/.f64 (PI.f64) #s(literal 2 binary64))
✓	cost-diff	0	(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
✓	cost-diff	0	(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
✓	cost-diff	0	(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
✓	cost-diff	0	#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))

Rules

7 086×	`lower-fma.f32`
7 066×	`lower-fma.f64`
4 458×	`lower-*.f32`
4 436×	`lower-*.f64`
2 782×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	665
0	118	652
1	208	650
2	433	637
3	1641	637
4	5895	637
0	8297	630

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
#s(literal 2 binary64)
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
x
#s(literal 1/2 binary64)
(*.f64 (PI.f64) #s(literal -1/2 binary64))
(PI.f64)
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(sqrt.f64 #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
(*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
#s(literal -4 binary64)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
x
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(fma.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))))))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
(/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(literal 1/4 binary64)
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
#s(literal 2 binary64)
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
x
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))))
(pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))))
(.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)))
(PI.f64)
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
x
#s(literal -1/2 binary64)
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))))
(/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))
(pow.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
#s(literal 2 binary64)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
#s(literal 3 binary64)

Outputs
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))
#s(literal 2 binary64)
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
x
#s(literal 1/2 binary64)
(*.f64 (PI.f64) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (PI.f64))
(PI.f64)
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(sqrt.f64 #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(fma.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
(*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
#s(literal -4 binary64)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
x
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(fma.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
(/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(literal 1/4 binary64)
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(literal 2 binary64)
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
x
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (.f64 #s(literal -1/2 binary64) (PI.f64))))
(/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal 1/2 binary64) (PI.f64)))))
(pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))))
(-.f64 (/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))) (/.f64 (pow.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))))
(.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)))
(.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(PI.f64)
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))
(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))
(fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
x
#s(literal -1/2 binary64)
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))))
(/.f64 (pow.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64)) #s(literal 3 binary64)) (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))
(/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))
(/.f64 (pow.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))
(pow.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 3 binary64))
(pow.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64)) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64))
#s(literal 2 binary64)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
#s(literal 3 binary64)

localize657.0ms (4%)

Memory

-13.8MiB live, 1 343.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.5%	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))
✓	accuracy	98.5%	(/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))
✓	accuracy	98.4%	(pow.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 3 binary64))
✓	accuracy	6.3%	(fma.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))))
✓	accuracy	100.0%	(/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
✓	accuracy	100.0%	(/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))))
✓	accuracy	98.5%	(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
✓	accuracy	6.3%	(fma.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))))))
✓	accuracy	100.0%	(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
✓	accuracy	99.6%	(/.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
✓	accuracy	98.5%	(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
✓	accuracy	6.1%	(fma.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
✓	accuracy	100.0%	(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
✓	accuracy	98.5%	(asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	98.5%	(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	7.8%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	100.0%	#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
✓	accuracy	100.0%	(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
✓	accuracy	7.8%	(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))

Samples

255.0ms	105×	2	valid
232.0ms	143×	1	valid
25.0ms	8×	0	valid

Compiler

Compiled 743 to 64 computations (91.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 445.0ms

ival-mult: 85.0ms (19.1% of total)

ival-acos: 81.0ms (18.2% of total)

ival-asin: 69.0ms (15.5% of total)

adjust: 45.0ms (10.1% of total)

ival-sqrt: 41.0ms (9.2% of total)

ival-div: 32.0ms (7.2% of total)

ival-pow2: 27.0ms (6.1% of total)

ival-add: 25.0ms (5.6% of total)

ival-pow: 13.0ms (2.9% of total)

ival-pi: 10.0ms (2.2% of total)

ival-sub: 8.0ms (1.8% of total)

ival-neg: 8.0ms (1.8% of total)

exact: 1.0ms (0.2% of total)

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

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

series43.0ms (0.3%)

Memory

-25.1MiB live, 77.1MiB allocated

Counts

27 → 264

Calls

Call 1

Inputs
#<alt #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))>
#<alt (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))>
#<alt (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))>
#<alt (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))>
#<alt (/.f64 (PI.f64) #s(literal 2 binary64))>
#<alt (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (PI.f64)>
#<alt (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (/.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))>
#<alt (fma.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))>
#<alt (*.f64 (PI.f64) #s(literal 1/4 binary64))>
#<alt (fma.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))))))>
#<alt (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64)))))>
#<alt (*.f64 (PI.f64) (PI.f64))>
#<alt (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))>
#<alt (fma.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))))>
#<alt (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)))>
#<alt (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (sqrt.f64 (-.f64 #s(literal 1 binary64) x))>
#<alt (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))>
#<alt (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))>
#<alt (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))))>
#<alt (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))>
#<alt (pow.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 3 binary64))>
#<alt (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))>
#<alt (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))>

Outputs
#<alt (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (acos (sqrt (- 1/2 (* 1/2 x))))>
#<alt (acos (sqrt (- 1/2 (* 1/2 x))))>
#<alt (acos (sqrt (- 1/2 (* 1/2 x))))>
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#<alt (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt x) (sqrt -1)))>
#<alt (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (- 1/2 (* 1/2 x))))>
#<alt (asin (sqrt (- 1/2 (* 1/2 x))))>
#<alt (asin (sqrt (- 1/2 (* 1/2 x))))>
#<alt (asin (sqrt (- 1/2 (* 1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)>
#<alt (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)>
#<alt (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)>
#<alt (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)>
#<alt (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)>
#<alt (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (/ 1/4 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (/ 1/4 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (/ 1/4 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (/ 1/4 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (/ 1/4 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (/ 1/4 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (/ 1/4 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (/ 1/4 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (/ 1/4 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (/ 1/4 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (/ 1/4 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (/ 1/4 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (* 8 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 3))>
#<alt (* 8 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 3))>
#<alt (* 8 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 3))>
#<alt (* 8 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 3))>
#<alt (* 8 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 3))>
#<alt (* 8 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 3))>
#<alt (* 8 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 3))>
#<alt (* 8 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 3))>
#<alt (* 8 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 3))>
#<alt (* 8 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 3))>
#<alt (* 8 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 3))>
#<alt (* 8 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 3))>
#<alt (* 8 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))>
#<alt (* 8 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))>
#<alt (* 8 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))>
#<alt (* 8 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))>
#<alt (* 8 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))>
#<alt (* 8 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))>
#<alt (* 8 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))>
#<alt (* 8 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))>
#<alt (* 8 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))>
#<alt (* 8 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))>
#<alt (* 8 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))>
#<alt (* 8 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))>
#<alt (* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))>
#<alt (* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))>
#<alt (* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))>
#<alt (* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))>
#<alt (* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))>
#<alt (* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))>
#<alt (* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))>
#<alt (* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))>
#<alt (* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))>
#<alt (* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))>
#<alt (* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))>
#<alt (* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))>

Calls

66 calls:

Time	Variable		Point	Expression
9.0ms	x	@	0	(+ (* (* (PI) (PI)) (/ 1/4 (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))) (neg (/ (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 2) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))))
8.0ms	x	@	inf	(+ (* (* (PI) (PI)) (/ 1/4 (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))) (neg (/ (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 2) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))))
2.0ms	x	@	inf	(+ (* (* (PI) (* 1/4 (PI))) (/ (* (PI) 1/2) (+ (* (PI) (* 1/4 (PI))) (* (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 4) (PI)))))) (neg (/ (pow (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))) 3) (+ (* (PI) (* 1/4 (PI))) (* (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 4) (PI)))))))
2.0ms	x	@	-inf	(+ (* (* (PI) (PI)) (/ 1/4 (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))) (neg (/ (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 2) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))))
2.0ms	x	@	-inf	(+ (* (* (PI) (* 1/4 (PI))) (/ (* (PI) 1/2) (+ (* (PI) (* 1/4 (PI))) (* (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 4) (PI)))))) (neg (/ (pow (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))) 3) (+ (* (PI) (* 1/4 (PI))) (* (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 4) (PI)))))))

simplify503.0ms (3.1%)

Memory

22.1MiB live, 974.3MiB allocated

Algorithm

1×	egg-herbie

Rules

19 090×	`lower-fma.f64`
19 090×	`lower-fma.f32`
6 644×	`lower-*.f64`
6 644×	`lower-*.f32`
2 586×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	296	5968
1	832	5820
2	2323	5786
3	7139	5786
0	8007	5122

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (- 1/2 (* 1/2 x))))
(acos (sqrt (- 1/2 (* 1/2 x))))
(acos (sqrt (- 1/2 (* 1/2 x))))
(acos (sqrt (- 1/2 (* 1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2))))
(+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2))))))
(+ (sqrt 1/2) (* x (- (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 1/2))))))
(* (sqrt x) (sqrt -1/2))
(* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2))))
(* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1/2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2)))))
(* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1/2) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1/2) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2))))))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))
(* -1 (* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))
(* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
(* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (pow (sqrt 1/2) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
(- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))
(- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))
(- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))
(- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))
(* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))))
(* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))))
(* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))))
(* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))))
(* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))))
(* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))))
(* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))))
(* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))))
(* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x))))))
(* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x))))))
(* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x))))))
(* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x))))))
(/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))
(/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))
(/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))
(/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))
(/ (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))
(/ (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))
(/ (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))
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(* 8 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* 8 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* 8 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* 8 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))
(* 8 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))
(* 8 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))
(* 8 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))
(* 8 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* 8 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* 8 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* 8 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))
(* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))
(* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))
(* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))
(* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))

Outputs
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1 binary64))))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1 binary64))))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1 binary64))))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1 binary64))))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1 binary64))))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1 binary64))))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1 binary64))))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1 binary64))))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1 binary64))))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1 binary64))))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1 binary64))))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1 binary64))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(acos (sqrt (- 1/2 (* 1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(acos (sqrt (- 1/2 (* 1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(acos (sqrt (- 1/2 (* 1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(acos (sqrt (- 1/2 (* 1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2))))
(fma.f64 x (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2))))))
(fma.f64 x (fma.f64 x (/.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* x (- (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 1/2))))))
(fma.f64 x (fma.f64 x (fma.f64 x (/.f64 #s(literal -1/128 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(* (sqrt x) (sqrt -1/2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1/2 binary64)))
(* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2))))
(.f64 x (fma.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))) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1/2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2)))))
(.f64 x (fma.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))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal -1/2 binary64))) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1/2) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1/2) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2))))))
(.f64 x (fma.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))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1/16 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) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1/128 binary64) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64))))))))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(* -1 (* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))
(.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (neg.f64 x))
(* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
(neg.f64 (.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/16 binary64)) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))))))
(* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (pow (sqrt 1/2) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/16 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (.f64 #s(literal 1/128 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))) (neg.f64 x))
(- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))
(fma.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))
(fma.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))
(fma.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))
(fma.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))
(fma.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
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(* 8 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 3))
(.f64 #s(literal 8 binary64) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(* 8 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 3))
(.f64 #s(literal 8 binary64) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(* 8 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 3))
(.f64 #s(literal 8 binary64) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(* 8 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 3))
(.f64 #s(literal 8 binary64) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(* 8 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 3))
(.f64 #s(literal 8 binary64) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(* 8 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(.f64 (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))))
(* 8 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(.f64 (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))))
(* 8 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(.f64 (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))))
(* 8 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(.f64 (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))))
(* 8 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))
(.f64 (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))))
(* 8 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))
(.f64 (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))))
(* 8 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))
(.f64 (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))))
(* 8 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))
(.f64 (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))))
(* 8 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(.f64 (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))))
(* 8 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(.f64 (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))))
(* 8 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(.f64 (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))))
(* 8 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(.f64 (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))))
(* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))
(* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))
(* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))
(* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))
(* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))
(* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))
(* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))
(* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))
(* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))
(* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))
(* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))
(* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))

rewrite485.0ms (2.9%)

Memory

23.8MiB live, 1 134.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 988×	`lower-fma.f32`
7 968×	`lower-fma.f64`
4 468×	`lower-*.f32`
4 448×	`lower-*.f64`
3 566×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	417
0	118	298
1	473	297
2	3645	297
0	9431	292

Stop Event

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

Counts

27 → 1 400

Calls

Call 1

Inputs
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
(PI.f64)
(*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(fma.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))))))
(neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64)))))
(*.f64 (PI.f64) (PI.f64))
(*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(fma.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))))
(.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(pow.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 3 binary64))
(/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))
(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))

Outputs
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))
(+.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(+.f64 (.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (.f64 #s(literal -1/2 binary64) (PI.f64)))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (neg.f64 (PI.f64)) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (pow.f64 (.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (fma.f64 #s(literal 8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (neg.f64 (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) (fma.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal -1/2 binary64) (PI.f64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (pow.f64 (.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (fma.f64 #s(literal 8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (neg.f64 (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))))))
(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (neg.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))))) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))))) (neg.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))))) (neg.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal -1/2 binary64) (PI.f64))))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (neg.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))))) (neg.f64 (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (neg.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(/.f64 (neg.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(pow.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (pow.f64 (.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (fma.f64 #s(literal 8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (neg.f64 (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) #s(literal -1 binary64))
(.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (pow.f64 (.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))
(.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (neg.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal 1/2 binary64) (PI.f64)))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
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(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (pow.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))) #s(literal 2 binary64)))) (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (PI.f64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(.f64 (pow.f64 (/.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (neg.f64 (PI.f64))) #s(literal -1 binary64)) #s(literal -1/2 binary64))

eval692.0ms (4.2%)

Memory: 20.0MiB live, 1 577.3MiB allocated
Compiler: Compiled 180 106 to 8 258 computations (95.4% saved)

prune399.0ms (2.4%)

Memory

3.0MiB live, 927.6MiB allocated

Pruning

28 alts after pruning (23 fresh and 5 done)

	Pruned	Kept	Total
New	3 234	12	3 246
Fresh	2	11	13
Picked	3	2	5
Done	1	3	4
Total	3 240	28	3 268

Accuracy

9.5%

Counts

3 268 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.1%	(fma.f64 (pow.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (.f64 #s(literal -1/2 binary64) (PI.f64)))) (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
	6.1%	(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
	6.1%	(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal 1/2 binary64) (PI.f64))))) (/.f64 (pow.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
✓	6.0%	(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
	6.2%	(fma.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))))
	6.3%	(fma.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))))))
	6.1%	(fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
✓	6.1%	(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
✓	3.9%	(fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
	6.2%	(/.f64 (fma.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal -8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) #s(literal 1/8 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (neg.f64 (.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))))
	6.2%	(/.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (neg.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))))
	6.1%	(/.f64 (fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3/2 binary64)) (neg.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3/2 binary64))) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/8 binary64))))) (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (neg.f64 (.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))))
	6.1%	(/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) (.f64 (PI.f64) #s(literal 1/4 binary64))) (.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))))
	6.2%	(/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)) (PI.f64) (.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
	6.1%	(/.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (PI.f64) (pow.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (neg.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))))
	6.2%	(/.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (.f64 #s(literal -4 binary64) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
	6.1%	(/.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (.f64 (PI.f64) #s(literal 1/2 binary64))))
✓	6.1%	(/.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
	6.1%	(/.f64 (fma.f64 (.f64 #s(literal -4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))))
	6.2%	(/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (.f64 #s(literal 1/4 binary64) (PI.f64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
	4.1%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
	1.5%	(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
	6.2%	#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
	6.2%	#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
✓	7.8%	#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
	5.5%	#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal 2 binary64) (acos.f64 #s(approx (sqrt (+ (* -1/2 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
	7.8%	#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (neg.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))))) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
	7.8%	#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (neg.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal 1/2 binary64) (PI.f64))))))

Compiler

Compiled 2 910 to 788 computations (72.9% saved)

regimes142.0ms (0.9%)

Memory

24.3MiB live, 183.1MiB allocated

Counts

52 → 1

Calls

Call 1

Inputs
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal 2 binary64) (acos.f64 #s(approx (sqrt (+ (* -1/2 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
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(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))))
(fma.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))))
(fma.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))))
(/.f64 (fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3/2 binary64)) (neg.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3/2 binary64))) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/8 binary64))))) (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (neg.f64 (.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))))
(/.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (neg.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) #s(literal 3 binary64))) #s(literal -8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) #s(literal 1/8 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (neg.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))))
(fma.f64 (/.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (fma.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) #s(literal 1/8 binary64))))) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal -8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) #s(literal 1/8 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (neg.f64 (.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))))
(fma.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) #s(literal 1/8 binary64))) (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) #s(literal 1/64 binary64) (pow.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))) #s(literal 3 binary64)))) (fma.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))) (-.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)))) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (/.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))))) (.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64)))))) (fma.f64 (PI.f64) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))))))

Outputs

#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (neg.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))

Calls

7 calls:

41.0ms	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
32.0ms	(-.f64 #s(literal 1 binary64) x)
16.0ms	x
13.0ms	(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
12.0ms	(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
7.8%	1	`x`
7.8%	1	`(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))`
7.8%	1	`(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))`
7.8%	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))`
7.8%	1	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))`
7.8%	1	`(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))`
7.8%	1	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 51 to 41 computations (19.6% saved)

regimes38.0ms (0.2%)

Memory

5.4MiB live, 82.8MiB allocated

Counts

18 → 1

Calls

Call 1

Inputs
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal 2 binary64) (acos.f64 #s(approx (sqrt (+ (* -1/2 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (neg.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))))) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))

Outputs

#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (neg.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))

Calls

7 calls:

7.0ms	x
6.0ms	(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
5.0ms	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
5.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
5.0ms	(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
7.8%	1	`(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))`
7.8%	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))`
7.8%	1	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))`
7.8%	1	`(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))`
7.8%	1	`(-.f64 #s(literal 1 binary64) x)`
7.8%	1	`(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))`
7.8%	1	`x`

Compiler

Compiled 51 to 41 computations (19.6% saved)

regimes38.0ms (0.2%)

Memory

-1.1MiB live, 79.0MiB allocated

Counts

17 → 1

Calls

Call 1

Inputs
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal 2 binary64) (acos.f64 #s(approx (sqrt (+ (* -1/2 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))

Outputs

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

Calls

7 calls:

8.0ms	(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
7.0ms	x
4.0ms	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
4.0ms	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
4.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))

Results

Accuracy	Segments	Branch
7.8%	1	`(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))`
7.8%	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))`
7.8%	1	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))`
7.8%	1	`(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))`
7.8%	1	`(-.f64 #s(literal 1 binary64) x)`
7.8%	1	`(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))`
7.8%	1	`x`

Compiler

Compiled 51 to 41 computations (19.6% saved)

regimes10.0ms (0.1%)

Memory

-12.0MiB live, 27.7MiB allocated

Accuracy

Total -1.5b remaining (-2.6%)

Threshold costs -1.5b (-2.6%)

Counts

2 → 1

Calls

Call 1

Inputs

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

(fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))

Outputs

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

Calls

7 calls:

2.0ms	x
1.0ms	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
1.0ms	(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
1.0ms	(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
1.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))

Results

Accuracy	Segments	Branch
5.5%	1	`(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))`
5.5%	1	`(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))`
5.5%	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))`
5.5%	1	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))`
5.5%	1	`(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))`
5.5%	1	`(-.f64 #s(literal 1 binary64) x)`
5.5%	1	`x`

Compiler

Compiled 51 to 41 computations (19.6% saved)

simplify9.0ms (0.1%)

Memory

-21.8MiB live, 17.8MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64`
8×	`+-commutative_binary64`
8×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	160
1	63	160
2	77	160
3	84	160
4	88	160
5	89	160

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (neg.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (neg.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))))) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal 2 binary64) (acos.f64 #s(approx (sqrt (+ (* -1/2 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))

Outputs
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (neg.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (neg.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))))) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal 2 binary64) (acos.f64 #s(approx (sqrt (+ (* -1/2 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal 2 binary64) (acos.f64 #s(approx (sqrt (+ (* -1/2 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))

soundness706.0ms (4.3%)

Memory

-20.1MiB live, 574.2MiB allocated

Rules

21 556×	`lower-fma.f64`
21 556×	`lower-fma.f32`
19 090×	`lower-fma.f64`
19 090×	`lower-fma.f32`
7 988×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	296	5968
1	832	5820
2	2323	5786
3	7139	5786
0	8007	5122
0	11	35
0	19	35
1	89	35
2	626	35
3	7268	35
0	8211	30
0	66	417
0	118	298
1	473	297
2	3645	297
0	9431	292
0	188	5138
1	479	5050
2	1143	5018
3	3177	4927
4	6930	4927
0	8103	4278

Stop Event

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

Compiler

Compiled 212 to 102 computations (51.9% saved)

preprocess48.0ms (0.3%)

Memory: 6.2MiB live, 120.9MiB allocated
Compiler: Compiled 200 to 84 computations (58% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	13	29
1	33	27
2	72	26
3	160	26
4	261	26
5	367	26
6	433	26
7	485	26
8	495	26
0	11	13
0	19	13
1	34	13
2	48	13
3	67	13
4	96	13
5	132	13
6	191	13
7	253	13
8	308	13
9	348	13
10	366	13
0	366	11

Iter	Nodes	Cost
0	11	50
0	19	50
1	34	50
2	48	50
3	67	50
4	96	50
5	132	50
6	191	50
7	253	50
8	308	50
9	348	50
10	366	50
0	366	44

Iter	Nodes	Cost
0	13	29
1	33	27
2	72	26
3	160	26
4	261	26
5	367	26
6	433	26
7	485	26
8	495	26
0	11	13
0	19	13
1	34	13
2	48	13
3	67	13
4	96	13
5	132	13
6	191	13
7	253	13
8	308	13
9	348	13
10	366	13
0	366	11

Iter	Nodes	Cost
0	11	50
0	19	50
1	34	50
2	48	50
3	67	50
4	96	50
5	132	50
6	191	50
7	253	50
8	308	50
9	348	50
10	366	50
0	366	44

analyze4.0ms (0%)

sample3.5s (21.3%)

preprocess38.0ms (0.2%)

explain422.0ms (2.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify20.0ms (0.1%)

localize123.0ms (0.7%)

series11.0ms (0.1%)

simplify560.0ms (3.4%)

rewrite343.0ms (2.1%)

eval73.0ms (0.4%)

prune89.0ms (0.5%)

simplify422.0ms (2.6%)

localize459.0ms (2.8%)

series43.0ms (0.3%)

simplify526.0ms (3.2%)

rewrite563.0ms (3.4%)

eval1.3s (8.2%)

prune667.0ms (4.1%)

simplify302.0ms (1.8%)

localize590.0ms (3.6%)

series15.0ms (0.1%)

simplify577.0ms (3.5%)

rewrite439.0ms (2.7%)

eval572.0ms (3.5%)

prune737.0ms (4.5%)

simplify246.0ms (1.5%)

localize657.0ms (4%)

series43.0ms (0.3%)

simplify503.0ms (3.1%)

rewrite485.0ms (2.9%)

eval692.0ms (4.2%)

prune399.0ms (2.4%)

regimes142.0ms (0.9%)

regimes38.0ms (0.2%)

regimes38.0ms (0.2%)

regimes10.0ms (0.1%)

simplify9.0ms (0.1%)

soundness706.0ms (4.3%)

preprocess48.0ms (0.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	13	29
1	33	27
2	72	26
3	160	26
4	261	26
5	367	26
6	433	26
7	485	26
8	495	26
0	11	13
0	19	13
1	34	13
2	48	13
3	67	13
4	96	13
5	132	13
6	191	13
7	253	13
8	308	13
9	348	13
10	366	13
0	366	11

Iter	Nodes	Cost
0	11	50
0	19	50
1	34	50
2	48	50
3	67	50
4	96	50
5	132	50
6	191	50
7	253	50
8	308	50
9	348	50
10	366	50
0	366	44