Metrics for Ian Simplification

analyze4.0ms (0%)

Memory

5.9MiB live, 5.9MiB 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)

sample3.8s (20.5%)

Memory

-71.9MiB live, 3 560.7MiB allocated

Samples

1.7s	3 007×	2	valid
1.1s	4 820×	1	valid
104.0ms	155×	4	valid
23.0ms	274×	0	valid
1.0ms	9×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 2.6s

ival-asin: 1.2s (46.3% of total)

adjust: 398.0ms (15.1% of total)

ival-div: 375.0ms (14.2% of total)

ival-sub: 190.0ms (7.2% of total)

ival-sqrt: 167.0ms (6.3% of total)

ival-mult: 152.0ms (5.8% of total)

ival-pi: 103.0ms (3.9% of total)

exact: 19.0ms (0.7% of total)

ival-true: 6.0ms (0.2% of total)

ival-assert: 3.0ms (0.1% of total)

Bogosity

preprocess44.0ms (0.2%)

Memory

-5.6MiB live, 36.1MiB allocated

Algorithm

2×	egg-herbie

Rules

212×	`accelerator-lowering-fma.f32`
212×	`accelerator-lowering-fma.f64`
136×	`-lowering-.f32`
136×	`-lowering-.f64`
118×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	42
1	47	40
2	97	39
3	197	39
4	318	39
5	457	39
6	565	39
7	670	39
8	698	39
9	710	39
0	11	13
1	26	13
2	40	13
3	59	13
4	88	13
5	124	13
6	183	13
7	243	13
8	299	13
9	339	13
10	357	13
0	357	11

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2)))))

Outputs

(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2)))))

(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)))

Call 2

Inputs
(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2)))))
(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 (neg x)) 2)))))
(neg (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 (neg x)) 2))))))

Outputs
(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2)))))
(+ (* (PI) 1/2) (* (asin (sqrt (+ 1/2 (* x -1/2)))) -2))
(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 (neg x)) 2)))))
(+ (* (PI) 1/2) (* (asin (sqrt (+ 1/2 (* x 1/2)))) -2))
(neg (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 (neg x)) 2))))))
(+ (* 2 (asin (sqrt (+ 1/2 (* x 1/2))))) (* (PI) -1/2))

explain299.0ms (1.6%)

Memory

-8.9MiB live, 314.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
253	1	(-0.006615034922062886)	-	`(-.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	254	1

Confusion

	Predicted +	Predicted -
+	253	1
-	1	1

Precision

0.9960629921259843

Recall

0.9960629921259843

Confusion?

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

Precision?

0.996078431372549

Recall?

1.0

Freqs

test

number	freq
0	2
1	254

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

101.0ms	180×	2	valid
76.0ms	292×	1	valid
14.0ms	20×	4	valid
2.0ms	20×	0	valid

Compiler

Compiled 132 to 48 computations (63.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 160.0ms

ival-asin: 78.0ms (48.6% of total)

ival-div: 26.0ms (16.2% of total)

adjust: 16.0ms (10% of total)

ival-sub: 13.0ms (8.1% of total)

ival-sqrt: 11.0ms (6.9% of total)

ival-mult: 10.0ms (6.2% of total)

ival-pi: 5.0ms (3.1% of total)

exact: 1.0ms (0.6% of total)

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

ival-true: 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

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.0%	(-.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)

simplify15.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB 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×	`accelerator-lowering-fma.f32`
212×	`accelerator-lowering-fma.f64`
136×	`-lowering-.f32`
136×	`-lowering-.f64`
96×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	50
1	26	50
2	40	50
3	59	50
4	88	50
5	124	50
6	183	50
7	243	50
8	299	50
9	339	50
10	357	50
0	357	44

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2)))))
(/ (PI) 2)
(PI)
2
(* 2 (asin (sqrt (/ (- 1 x) 2))))
(asin (sqrt (/ (- 1 x) 2)))
(sqrt (/ (- 1 x) 2))
(/ (- 1 x) 2)
(- 1 x)
1
x

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

localize111.0ms (0.6%)

Memory

-9.4MiB live, 108.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	100.0%	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
✓	accuracy	98.5%	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
✓	accuracy	8.5%	(-.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

44.0ms	90×	2	valid
36.0ms	146×	1	valid
7.0ms	10×	4	valid
1.0ms	10×	0	valid

Compiler

Compiled 52 to 13 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-asin: 36.0ms (51% of total)

ival-div: 8.0ms (11.3% of total)

adjust: 7.0ms (9.9% of total)

ival-sub: 6.0ms (8.5% of total)

ival-sqrt: 5.0ms (7.1% of total)

ival-mult: 4.0ms (5.7% of total)

ival-pi: 3.0ms (4.2% of total)

exact: 1.0ms (1.4% of total)

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

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

series6.0ms (0%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

6 → 48

Calls

Call 1

Inputs
#<alt (/ (- 1 x) 2)>
#<alt (/ (PI) 2)>
#<alt (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2)))))>
#<alt (PI)>
#<alt (asin (sqrt (/ (- 1 x) 2)))>
#<alt (sqrt (/ (- 1 x) 2))>

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

rewrite359.0ms (2%)

Memory

-7.7MiB live, 304.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 926×	`accelerator-lowering-fma.f32`
7 926×	`accelerator-lowering-fma.f64`
4 770×	`-lowering-.f32`
4 770×	`-lowering-.f64`
2 994×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	35
1	81	35
2	618	35
3	7258	35
0	8201	30

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 423

Calls

Call 1

Inputs
(/ (- 1 x) 2)
(/ (PI) 2)
(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2)))))
(PI)
(asin (sqrt (/ (- 1 x) 2)))
(sqrt (/ (- 1 x) 2))

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

simplify599.0ms (3.3%)

Memory

3.6MiB live, 631.3MiB allocated

Algorithm

1×	egg-herbie

Rules

29 870×	`accelerator-lowering-fma.f32`
29 870×	`accelerator-lowering-fma.f64`
6 854×	`-lowering-.f32`
6 854×	`-lowering-.f64`
2 358×	`+-lowering-+.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)))))))

eval79.0ms (0.4%)

Memory: 4.6MiB live, 92.9MiB allocated
Compiler: Compiled 11 990 to 1 845 computations (84.6% saved)

prune74.0ms (0.4%)

Memory

15.2MiB live, 131.1MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	455	16	471
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	456	16	472

Accuracy

10.2%

Counts

472 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.0%	(fma.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (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 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 (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) (PI.f64)) #s(literal 1/4 binary64))))))
▶	7.0%	(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)))
▶	7.0%	(fma.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (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 (PI.f64) (.f64 (.f64 (PI.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))))))
▶	7.1%	(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))))))
	7.0%	(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (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)))
	7.0%	(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)))
▶	7.0%	(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)))
	7.1%	(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)))) (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))))))
	7.0%	(/.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 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)))) (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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
	7.0%	(/.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 (.f64 (PI.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))))
	7.0%	(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (PI.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)))) (/.f64 (.f64 (.f64 (PI.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))))) (.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))))))
	7.0%	(/.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 (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) (PI.f64)) #s(literal 1/4 binary64))) (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 (PI.f64) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))))))
	7.0%	(/.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 #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 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 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 4 binary64)) (pow.f64 (.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))))
	7.0%	(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.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)))) (.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)))))
▶	8.3%	(-.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))))))))
	6.9%	(-.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))))))

Compiler

Compiled 1 410 to 622 computations (55.9% saved)

simplify553.0ms (3%)

Memory

10.9MiB live, 607.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
✓	cost-diff	0	(/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (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 (PI.f64) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)))))
✓	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	128	(fma.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (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 (PI.f64) (.f64 (.f64 (PI.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))))))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 (PI.f64) (PI.f64))
✓	cost-diff	0	(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	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	0	(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64)))
✓	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 #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)))
✓	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

17 810×	`accelerator-lowering-fma.f32`
17 810×	`accelerator-lowering-fma.f64`
5 582×	`-lowering-.f32`
5 582×	`-lowering-.f64`
4 174×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	8589935249
1	134	8589935241
2	349	8589935235
3	1114	8589935235
4	2798	8589935233
5	7665	8589935233
0	8054	588

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize603.0ms (3.3%)

Memory

-12.8MiB live, 785.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.5%	(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
✓	accuracy	98.4%	(.f64 (PI.f64) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)))
✓	accuracy	8.4%	(-.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))
✓	accuracy	7.0%	(fma.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (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 (PI.f64) (.f64 (.f64 (PI.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))))))
✓	accuracy	100.0%	(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))
✓	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	98.5%	(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
✓	accuracy	7.1%	(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))))))
✓	accuracy	100.0%	(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #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	98.4%	(cbrt.f64 (PI.f64))
✓	accuracy	7.1%	(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)))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	100.0%	(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #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	8.5%	(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%	(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
✓	accuracy	99.9%	(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	8.5%	(-.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

216.0ms	100×	2	valid
205.0ms	146×	1	valid
4.0ms	10×	0	valid

Compiler

Compiled 611 to 57 computations (90.7% saved)

Precisions

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

ival-mult: 72.0ms (19.9% of total)

ival-asin: 48.0ms (13.3% of total)

ival-pow: 44.0ms (12.1% of total)

adjust: 37.0ms (10.2% of total)

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

ival-add: 32.0ms (8.8% of total)

ival-cbrt: 25.0ms (6.9% of total)

ival-div: 22.0ms (6.1% of total)

const: 12.0ms (3.3% of total)

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

ival-pow2: 6.0ms (1.7% of total)

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

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

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

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

exact: 2.0ms (0.6% of total)

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

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

series42.0ms (0.2%)

Memory

10.0MiB live, 46.8MiB allocated

Counts

25 → 204

Calls

Call 1

Inputs
#<alt (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))>
#<alt (/ (PI) 2)>
#<alt (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))))>
#<alt (PI)>
#<alt (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* (PI) 1/2))>
#<alt (asin (sqrt (+ (* x -1/2) 1/2)))>
#<alt (sqrt (+ (* x -1/2) 1/2))>
#<alt (+ (* x -1/2) 1/2)>
#<alt (+ (* (pow (PI) 2/3) (* 1/2 (cbrt (PI)))) (* (asin (sqrt (+ (* x -1/2) 1/2))) -2))>
#<alt (pow (PI) 2/3)>
#<alt (* 1/2 (cbrt (PI)))>
#<alt (neg (/ (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 2) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2))))>
#<alt (+ (* (* (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)))))>
#<alt (* (PI) (PI))>
#<alt (+ (* (/ (* (* (PI) (PI)) 1/4) (+ (* 8 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3)) (* (PI) (* (* (PI) (PI)) 1/8)))) (+ (* (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)))) 2) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))))>
#<alt (/ (* (* (PI) (PI)) 1/4) (+ (* 8 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3)) (* (PI) (* (* (PI) (PI)) 1/8))))>
#<alt (* (* (PI) (PI)) 1/4)>
#<alt (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))>
#<alt (acos (sqrt (+ (* x -1/2) 1/2)))>
#<alt (cbrt (PI))>
#<alt (/ 1/4 (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))>
#<alt (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 2)>
#<alt (- (* (asin (sqrt (+ (* x -1/2) 1/2))) 4) (PI))>
#<alt (* (PI) (* (* (PI) (PI)) 1/8))>
#<alt (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3)>

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

51 calls:

Time	Variable		Point	Expression
9.0ms	x	@	-inf	(+ (* (/ (* (* (PI) (PI)) 1/4) (+ (* 8 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3)) (* (PI) (* (* (PI) (PI)) 1/8)))) (+ (* (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)))) 2) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))))
6.0ms	x	@	0	(+ (* (/ (* (* (PI) (PI)) 1/4) (+ (* 8 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3)) (* (PI) (* (* (PI) (PI)) 1/8)))) (+ (* (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)))) 2) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))))
3.0ms	x	@	inf	(+ (* (/ (* (* (PI) (PI)) 1/4) (+ (* 8 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3)) (* (PI) (* (* (PI) (PI)) 1/8)))) (+ (* (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)))) 2) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))))
2.0ms	x	@	-inf	(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	(sqrt (+ (* x -1/2) 1/2))

rewrite568.0ms (3.1%)

Memory

19.8MiB live, 694.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 786×	`accelerator-lowering-fma.f32`
7 786×	`accelerator-lowering-fma.f64`
4 222×	`-lowering-.f32`
4 222×	`-lowering-.f64`
2 914×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	297
1	332	289
2	3282	289
0	8786	255

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 1 360

Calls

Call 1

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

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) (.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) (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) (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 (.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 (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 (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 (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 #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 (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))))))
(fma.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.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))))))
(fma.f64 #s(literal -1 binary64) (*.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 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)) #s(literal 1/3 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 2/9 binary64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 7/3 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 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (.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))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 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 1/6 binary64)) (cbrt.f64 (.f64 (.f64 (PI.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))))))
(fma.f64 (.f64 #s(literal 2 binary64) (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 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1 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 (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1 binary64)) #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 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/9 binary64)) #s(literal 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 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 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 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 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 (.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (pow.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/3 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 (pow.f64 (PI.f64) #s(literal 8/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (PI.f64) #s(literal 1/9 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 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.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 (cbrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (cbrt.f64 (.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))))))
(fma.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) (pow.f64 (PI.f64) #s(literal 1/6 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 (pow.f64 (PI.f64) #s(literal 8/3 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 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 (pow.f64 (PI.f64) #s(literal 4/3 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 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.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))))))
(fma.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.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) (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))))) (fma.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))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))))
(/.f64 (.f64 #s(literal 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)))) (-.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 (fma.f64 (PI.f64) (.f64 (PI.f64) (PI.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 3 binary64))) (fma.f64 (PI.f64) (PI.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)) (.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 (.f64 (PI.f64) (PI.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 (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 (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 2 binary64)) (fma.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))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))))
(/.f64 (.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 2 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)))))))
(/.f64 (neg.f64 (.f64 #s(literal 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)))))) (neg.f64 (fma.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))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (.f64 #s(literal 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))))) (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))))))))
(/.f64 (neg.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) (PI.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 3 binary64)))) (neg.f64 (fma.f64 (PI.f64) (PI.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)) (.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 (neg.f64 (-.f64 (.f64 (PI.f64) (PI.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)))) (neg.f64 (-.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 (neg.f64 (.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 2 binary64))) (neg.f64 (fma.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))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (.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 2 binary64))) (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))))))))
(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 1 binary64))
(pow.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)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.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)))))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (exp.f64 (log.f64 #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(.f64 (pow.f64 (sqrt.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 1 binary64)) (pow.f64 (sqrt.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 1 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal -1 binary64)))
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(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 (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))))
(fma.f64 (.f64 (PI.f64) #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 (neg.f64 (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 2 binary64))))
(fma.f64 (neg.f64 (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 2 binary64)) (.f64 (.f64 (PI.f64) #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))))
(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)))))))
(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)) (neg.f64 (acos.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 2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.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))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 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 (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))) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 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 (.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 (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))))) (fma.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))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))))
(/.f64 (.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 (.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)))) (-.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 (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)))) (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 (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))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))))
(/.f64 (.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))) (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) #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 (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 (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))) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 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 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) #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)))
(/.f64 (neg.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))) (neg.f64 (pow.f64 (fma.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))) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 3 binary64))))
(/.f64 (neg.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))) (neg.f64 (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 (neg.f64 (.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 (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)))))) (neg.f64 (fma.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))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (.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 (.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))))) (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))))))))
(/.f64 (neg.f64 (.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)))) (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 (fma.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))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (.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))) (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 (-.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))))))))
(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 3/2 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 (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))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 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)))

simplify542.0ms (2.9%)

Memory

-12.2MiB live, 814.8MiB allocated

Algorithm

1×	egg-herbie

Rules

22 626×	`accelerator-lowering-fma.f32`
22 626×	`accelerator-lowering-fma.f64`
5 992×	`-lowering-.f32`
5 992×	`-lowering-.f64`
2 328×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	179	3914
1	469	3898
2	1172	3878
3	3356	3799
4	7391	3799
0	8116	3342

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

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

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

eval908.0ms (4.9%)

Memory: 60.7MiB live, 1 405.9MiB allocated
Compiler: Compiled 222 661 to 9 795 computations (95.6% saved)

prune609.0ms (3.3%)

Memory

21.1MiB live, 1 326.7MiB allocated

Pruning

32 alts after pruning (30 fresh and 2 done)

	Pruned	Kept	Total
New	3 986	26	4 012
Fresh	7	4	11
Picked	3	2	5
Done	0	0	0
Total	3 996	32	4 028

Accuracy

10.3%

Counts

4 028 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.0%	(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 #s(literal 1/2 binary64) (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) (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)))
	6.9%	(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (.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)))
	7.1%	(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (.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)))
▶	6.9%	(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (.f64 (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1/4 binary64)))))) #s(literal -2 binary64)))
✓	7.0%	(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)))
	7.0%	(fma.f64 (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (PI.f64)) #s(literal 1/4 binary64)) (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 (PI.f64) (.f64 (.f64 (PI.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))))))
	7.0%	(fma.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (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 (PI.f64) (.f64 (.f64 (PI.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 (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 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))))))
	7.1%	(fma.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (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 (PI.f64) (.f64 (.f64 (PI.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 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))))))
	7.1%	(fma.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 (PI.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)))))
	7.1%	(fma.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 (PI.f64) (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)))))
	7.0%	(fma.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) (neg.f64 (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))) (.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/4 binary64) (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 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))))) (/.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)))))
	7.0%	(fma.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.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))))))
	7.0%	(fma.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 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)))
	7.1%	(fma.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.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 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))))))
	7.0%	(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)))) (.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))))))
▶	7.0%	(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 (fma.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (PI.f64) (.f64 (.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 -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) (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))))))
▶	7.0%	(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))))))
	4.9%	(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 #s(literal 1/2 binary64))) (.f64 (PI.f64) #s(literal 1/2 binary64))))))
	7.1%	(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 (+.f64 (.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (PI.f64)) (.f64 (.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 -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) (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))))))
	7.1%	(fma.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1/4 binary64)) (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))))))
	7.0%	(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (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)))
	7.0%	(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)))
	7.0%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.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 (PI.f64) #s(literal 1/2 binary64))))) (/.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)))))
✓	7.0%	(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)))
	7.0%	(fma.f64 (asin.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1/4 binary64)) (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)))
▶	4.2%	(fma.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
▶	8.3%	(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)))
	7.0%	(/.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 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)))) (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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
	7.0%	(/.f64 (fma.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 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) (.f64 (PI.f64) #s(literal 1/4 binary64))))) (pow.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))) #s(literal 2 binary64)))
	7.0%	(/.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))))
	7.0%	(/.f64 (-.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 (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 (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)))) (pow.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))) #s(literal 2 binary64)))
	6.9%	(-.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))))))

Compiler

Compiled 2 389 to 1 248 computations (47.8% saved)

simplify372.0ms (2%)

Memory

29.9MiB live, 524.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(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 (fma.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (PI.f64) (.f64 (.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 -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) (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	128	(neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (PI.f64) (.f64 (.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 -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) (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	320	(.f64 (.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 -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
✓	cost-diff	7744	(fma.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (PI.f64) (.f64 (.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 -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
✓	cost-diff	0	(*.f64 (PI.f64) (PI.f64))
✓	cost-diff	0	(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))))))
✓	cost-diff	128	(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)))))
✓	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	(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64)))
✓	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 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (.f64 (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1/4 binary64)))))) #s(literal -2 binary64)))
✓	cost-diff	0	(*.f64 (PI.f64) #s(literal 1/2 binary64))
✓	cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
✓	cost-diff	0	(asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))
✓	cost-diff	0	(fma.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
✓	cost-diff	0	(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 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)))

Rules

12 446×	`accelerator-lowering-fma.f32`
12 446×	`accelerator-lowering-fma.f64`
4 226×	`-lowering-.f32`
4 226×	`-lowering-.f64`
1 572×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	8589935228
1	132	8589935226
2	284	8589935214
3	885	8589935214
4	2942	8589935214
5	6376	8589935214
0	8118	572

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize1.4s (7.6%)

Memory

-45.4MiB live, 1 996.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (.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 -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
✓	accuracy	99.0%	(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
✓	accuracy	70.1%	(PI.f64)
✓	accuracy	36.9%	(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 (fma.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (PI.f64) (.f64 (.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 -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) (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	99.9%	(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	99.0%	(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
✓	accuracy	70.1%	(PI.f64)
✓	accuracy	36.9%	(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))))))
✓	accuracy	99.0%	(asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1/4 binary64))))))
✓	accuracy	98.9%	(cbrt.f64 (PI.f64))
✓	accuracy	70.1%	(PI.f64)
✓	accuracy	37.0%	(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (.f64 (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1/4 binary64)))))) #s(literal -2 binary64)))
✓	accuracy	100.0%	(*.f64 (PI.f64) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/2 binary64))
✓	accuracy	98.9%	(asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))
✓	accuracy	70.1%	(PI.f64)
✓	accuracy	100.0%	(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #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	70.1%	(PI.f64)
✓	accuracy	36.9%	(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

607.0ms	79×	5	exit
430.0ms	146×	2	valid
172.0ms	31×	3	valid

Compiler

Compiled 631 to 63 computations (90% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-asin: 331.0ms (31.6% of total)

ival-acos: 155.0ms (14.8% of total)

ival-add: 148.0ms (14.1% of total)

ival-mult: 138.0ms (13.2% of total)

adjust: 76.0ms (7.3% of total)

ival-div: 62.0ms (5.9% of total)

ival-pow: 41.0ms (3.9% of total)

ival-sqrt: 34.0ms (3.2% of total)

ival-neg: 15.0ms (1.4% of total)

const: 14.0ms (1.3% of total)

ival-pow2: 13.0ms (1.2% of total)

ival-cbrt: 9.0ms (0.9% of total)

ival-fabs: 5.0ms (0.5% of total)

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

exact: 3.0ms (0.3% of total)

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

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

series38.0ms (0.2%)

Memory

20.4MiB live, 57.4MiB allocated

Counts

24 → 180

Calls

Call 1

Inputs
#<alt (+ (* 2 (acos (sqrt (+ (* -1/2 x) 1/2)))) (* (PI) -1/2))>
#<alt (acos (sqrt (+ (* -1/2 x) 1/2)))>
#<alt (sqrt (+ (* -1/2 x) 1/2))>
#<alt (+ (* -1/2 x) 1/2)>
#<alt (+ (* (asin (sqrt 1/2)) -2) (* (PI) 1/2))>
#<alt (asin (sqrt 1/2))>
#<alt (sqrt 1/2)>
#<alt (* (PI) 1/2)>
#<alt (+ (* (pow (PI) 2/3) (* 1/2 (cbrt (PI)))) (* (asin (/ 1 (sqrt (/ (+ (* x -1/2) -1/2) (+ (* 1/4 (* x x)) -1/4))))) -2))>
#<alt (pow (PI) 2/3)>
#<alt (PI)>
#<alt (* 1/2 (cbrt (PI)))>
#<alt (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))>
#<alt (neg (/ (pow (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))) 2) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2))))>
#<alt (+ (* (* (PI) (PI)) (/ 1/4 (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))) (neg (/ (pow (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))) 2) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))))>
#<alt (* (PI) (PI))>
#<alt (+ (* (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (PI)) (* (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* -2 (acos (sqrt (+ (* x -1/2) 1/2))))))>
#<alt (* (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* -2 (acos (sqrt (+ (* x -1/2) 1/2)))))>
#<alt (neg (/ (+ (* (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (PI)) (* (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* -2 (acos (sqrt (+ (* x -1/2) 1/2)))))) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2))))>
#<alt (+ (* (* (PI) (PI)) (/ 1/4 (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))) (neg (/ (+ (* (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (PI)) (* (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* -2 (acos (sqrt (+ (* x -1/2) 1/2)))))) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))))>
#<alt (cbrt (PI))>
#<alt (asin (/ 1 (sqrt (/ (+ (* x -1/2) -1/2) (+ (* 1/4 (* x x)) -1/4)))))>
#<alt (asin (sqrt (+ (* x -1/2) 1/2)))>
#<alt (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))>

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

Calls

45 calls:

Time	Variable		Point	Expression
16.0ms	x	@	-inf	(+ (* (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (PI)) (* (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* -2 (acos (sqrt (+ (* x -1/2) 1/2))))))
2.0ms	x	@	inf	(neg (/ (+ (* (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (PI)) (* (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* -2 (acos (sqrt (+ (* x -1/2) 1/2)))))) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2))))
2.0ms	x	@	-inf	(neg (/ (+ (* (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (PI)) (* (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* -2 (acos (sqrt (+ (* x -1/2) 1/2)))))) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2))))
2.0ms	x	@	0	(neg (/ (+ (* (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (PI)) (* (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* -2 (acos (sqrt (+ (* x -1/2) 1/2)))))) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2))))
1.0ms	x	@	inf	(neg (/ (pow (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))) 2) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2))))

rewrite606.0ms (3.3%)

Memory

29.9MiB live, 1 079.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 546×	`accelerator-lowering-fma.f32`
6 546×	`accelerator-lowering-fma.f64`
5 088×	`-lowering-.f32`
5 088×	`-lowering-.f64`
2 186×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	317
1	347	227
2	3044	209
0	8334	183

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 1 370

Calls

Call 1

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

Outputs
(+.f64 (.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)))
(+.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 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 #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 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) (PI.f64)))
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) x #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 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (acos.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)))
(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 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (pow.f64 (.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.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 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #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 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/8 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 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/8 binary64))))) (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 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (PI.f64)))))))
(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/8 binary64)))))) (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 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (pow.f64 (.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.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 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #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 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/8 binary64))))) (/.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 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (pow.f64 (.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))
(.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (.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))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.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)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #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))) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #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)) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/8 binary64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (log.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)))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal 1/4 binary64)) (.f64 x #s(literal -1/4 binary64))) (fma.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(/.f64 (sqrt.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)) #s(literal -1/64 binary64))) (sqrt.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) (-.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/16 binary64)) (.f64 (*.f64 x x) #s(literal -1/16 binary64))))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/16 binary64))) (sqrt.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal 1/4 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (sqrt.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal 1/4 binary64)) (.f64 x #s(literal -1/4 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (sqrt.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (*.f64 x #s(literal -1/4 binary64))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(/.f64 (sqrt.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) #s(literal -1/8 binary64))) (sqrt.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/4 binary64))))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (sqrt.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal 1/4 binary64)) (.f64 x #s(literal -1/4 binary64))))))
(/.f64 (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) #s(literal -1/2 binary64))
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(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))) #s(literal -2 binary64) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) (neg.f64 (PI.f64)))) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) #s(literal -2 binary64)))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64) (.f64 (+.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (PI.f64))) (.f64 (+.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (+.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 #s(literal 2 binary64) (PI.f64))))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal -2 binary64) (.f64 (+.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (neg.f64 (PI.f64)))) (.f64 (+.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (/.f64 (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (-.f64 (neg.f64 (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))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 (PI.f64) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (neg.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/8 binary64))) (neg.f64 (pow.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 1 binary64) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (-.f64 (neg.f64 (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))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))))))
(.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
(.f64 (pow.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/8 binary64))) (neg.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (-.f64 (neg.f64 (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))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) #s(literal 1 binary64)))

simplify515.0ms (2.8%)

Memory

-16.9MiB live, 976.8MiB allocated

Algorithm

1×	egg-herbie

Rules

21 294×	`accelerator-lowering-fma.f32`
21 294×	`accelerator-lowering-fma.f64`
6 436×	`-lowering-.f32`
6 436×	`-lowering-.f64`
2 292×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	184	4566
1	498	4426
2	1213	3902
3	3471	3799
4	7876	3799
0	8496	3330

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

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

eval905.0ms (4.9%)

Memory: -125.2MiB live, 1 202.8MiB allocated
Compiler: Compiled 144 899 to 5 819 computations (96% saved)

prune433.0ms (2.4%)

Memory

33.0MiB live, 820.5MiB allocated

Pruning

40 alts after pruning (36 fresh and 4 done)

	Pruned	Kept	Total
New	2 541	15	2 556
Fresh	4	21	25
Picked	3	2	5
Done	0	2	2
Total	2 548	40	2 588

Accuracy

10.4%

Counts

2 588 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.0%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 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)))) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (PI.f64) (.f64 (.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 -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) (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))))))
	6.8%	(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 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
	7.0%	(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 #s(literal 1/2 binary64) (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) (.f64 (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1/4 binary64)))))) #s(literal -2 binary64)))
	7.0%	(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 #s(literal 1/2 binary64) (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) (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)))
	6.9%	(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (.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)))
	7.1%	(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (.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)))
▶	6.9%	(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (.f64 (neg.f64 (asin.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) #s(literal -2 binary64)))
✓	7.0%	(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)))
	7.0%	(fma.f64 (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (PI.f64)) #s(literal 1/4 binary64)) (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 (PI.f64) (.f64 (.f64 (PI.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))))))
	7.0%	(fma.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (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 (PI.f64) (.f64 (.f64 (PI.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 (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 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))))))
	7.1%	(fma.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (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 (PI.f64) (.f64 (.f64 (PI.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 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))))))
	7.1%	(fma.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 (PI.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)))))
	7.0%	(fma.f64 (/.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 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 (PI.f64) #s(literal 1/2 binary64)))) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (.f64 (PI.f64) #s(literal -2 binary64))) (/.f64 (.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 (PI.f64) #s(literal 1/2 binary64)))))
▶	7.1%	(fma.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 (PI.f64) (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)))))
	7.0%	(fma.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) (neg.f64 (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))) (.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/4 binary64) (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 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))))) (/.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)))))
	7.0%	(fma.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.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))))))
▶	7.0%	(fma.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 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)))
	7.1%	(fma.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.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 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))))))
	7.0%	(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 (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)) #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))))))
	7.0%	(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) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (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))))))
	4.9%	(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 #s(literal 1/2 binary64))) (.f64 (PI.f64) #s(literal 1/2 binary64))))))
	7.0%	(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (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)))
	6.8%	(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 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
	7.0%	(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)))
	7.0%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.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 (PI.f64) #s(literal 1/2 binary64))))) (/.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)))))
✓	7.0%	(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)))
	7.0%	(fma.f64 (asin.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1/4 binary64)) (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)))
✓	4.2%	(fma.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
	6.9%	(fma.f64 #s(literal 2 binary64) (acos.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
✓	8.3%	(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)))
▶	8.4%	(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
▶	5.3%	(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
	7.1%	(/.f64 (fma.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -4 binary64))) #s(literal 3 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))) (.f64 (.f64 (neg.f64 (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)))) (fma.f64 (.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -4 binary64))) (-.f64 (.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -4 binary64))) (.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) (PI.f64)))) (pow.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))))) (.f64 (.f64 (neg.f64 (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)))) (fma.f64 (.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -4 binary64))) (-.f64 (.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -4 binary64))) (.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) (PI.f64)))) (pow.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 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)))))
	7.0%	(/.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 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)))) (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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
	7.0%	(/.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 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))))) (.f64 (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))) (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (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))) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal -2 binary64))) #s(literal -2 binary64))))) (.f64 (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))) (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 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)))))))
	7.0%	(/.f64 (fma.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 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) (.f64 (PI.f64) #s(literal 1/4 binary64))))) (pow.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))) #s(literal 2 binary64)))
	7.0%	(/.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))))
	8.3%	(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
	7.0%	(/.f64 (-.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 (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 (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)))) (pow.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))) #s(literal 2 binary64)))
	8.3%	(.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (.f64 #s(literal 1/2 binary64) (PI.f64)))))

Compiler

Compiled 3 152 to 1 530 computations (51.5% saved)

simplify419.0ms (2.3%)

Memory

14.9MiB live, 273.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 (PI.f64) #s(literal 5/3 binary64))
✓	cost-diff	0	(cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64)))
✓	cost-diff	0	(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 binary64)))
✓	cost-diff	0	(fma.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 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)))
✓	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 #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 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))))
✓	cost-diff	8832	(fma.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 (PI.f64) (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)))))
✓	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 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (.f64 (neg.f64 (asin.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) #s(literal -2 binary64)))
✓	cost-diff	128	(*.f64 (neg.f64 (asin.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) #s(literal -2 binary64))
✓	cost-diff	0	(*.f64 (PI.f64) #s(literal -1/2 binary64))
✓	cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
✓	cost-diff	0	(acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))
✓	cost-diff	0	(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
✓	cost-diff	0	(acos.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))

Rules

3 096×	`accelerator-lowering-fma.f32`
3 096×	`accelerator-lowering-fma.f64`
2 300×	`-lowering-.f32`
2 300×	`-lowering-.f64`
1 872×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	30064771424
1	101	30064771423
2	176	30064771423
3	266	30064771423
4	335	30064771423
5	403	30064771423
6	490	30064771423
7	605	30064771423
8	857	30064771423
9	1348	30064771423
10	1949	30064771423
11	2047	30064771423
12	2144	30064771423
13	2261	30064771423
14	2389	30064771423
15	2703	30064771423
16	3536	30064771423
17	4945	30064771423
18	5086	30064771423
19	5143	30064771423
20	5164	30064771423
21	5173	30064771423
22	5817	30064771423
23	6104	30064771411
24	6150	30064771409
25	6202	30064771409
26	6236	30064771409
27	6238	30064771409
28	6238	30064771409
29	6238	30064771409
30	6278	30064771409
31	6294	30064771409
32	6294	30064771409
33	6574	30064771409
34	7650	30064771409
35	7650	30064771409
36	7650	30064771409
0	7650	369

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* 2 (acos (sqrt (/ 1 (/ 1 (+ (* -1/2 x) 1/2)))))) (* (PI) -1/2))
2
(acos (sqrt (/ 1 (/ 1 (+ (* -1/2 x) 1/2)))))
(sqrt (/ 1 (/ 1 (+ (* -1/2 x) 1/2))))
(/ 1 (/ 1 (+ (* -1/2 x) 1/2)))
1
(/ 1 (+ (* -1/2 x) 1/2))
(+ (* -1/2 x) 1/2)
-1/2
x
1/2
(* (PI) -1/2)
(PI)
(+ (* 2 (acos (sqrt 1/2))) (* (PI) -1/2))
2
(acos (sqrt 1/2))
(sqrt 1/2)
1/2
(* (PI) -1/2)
(PI)
-1/2
(+ (* (pow (PI) 2/3) (* 1/2 (cbrt (PI)))) (* (neg (asin (/ -1 (sqrt (/ 1 (+ (* -1/2 x) 1/2)))))) -2))
(pow (PI) 2/3)
(PI)
2/3
(* 1/2 (cbrt (PI)))
1/2
(cbrt (PI))
(* (neg (asin (/ -1 (sqrt (/ 1 (+ (* -1/2 x) 1/2)))))) -2)
(neg (asin (/ -1 (sqrt (/ 1 (+ (* -1/2 x) 1/2))))))
(asin (/ -1 (sqrt (/ 1 (+ (* -1/2 x) 1/2)))))
(/ -1 (sqrt (/ 1 (+ (* -1/2 x) 1/2))))
-1
(sqrt (/ 1 (+ (* -1/2 x) 1/2)))
(/ 1 (+ (* -1/2 x) 1/2))
1
(+ (* -1/2 x) 1/2)
-1/2
x
-2
(+ (* (/ 1/4 (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2))) (* (PI) (PI))) (/ (pow (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) 2) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* -1/2 (PI)))))
(/ 1/4 (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))
1/4
(+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2))
2
(asin (sqrt (+ (* x -1/2) 1/2)))
(sqrt (+ (* x -1/2) 1/2))
(+ (* x -1/2) 1/2)
x
-1/2
1/2
(* (PI) 1/2)
(PI)
(* (PI) (PI))
(/ (pow (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) 2) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* -1/2 (PI))))
(pow (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) 2)
(* (asin (sqrt (+ (* x -1/2) 1/2))) -2)
-2
(+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* -1/2 (PI)))
(* -1/2 (PI))
(+ (* (* (cbrt (pow (PI) 5/3)) (pow (PI) 1/9)) (* 1/2 (cbrt (PI)))) (* (asin (sqrt (+ (* x -1/2) 1/2))) -2))
(* (cbrt (pow (PI) 5/3)) (pow (PI) 1/9))
(cbrt (pow (PI) 5/3))
(pow (PI) 5/3)
(PI)
5/3
(pow (PI) 1/9)
1/9
(* 1/2 (cbrt (PI)))
1/2
(cbrt (PI))
(* (asin (sqrt (+ (* x -1/2) 1/2))) -2)
(asin (sqrt (+ (* x -1/2) 1/2)))
(sqrt (+ (* x -1/2) 1/2))
(+ (* x -1/2) 1/2)
x
-1/2
-2

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

localize1.5s (8.1%)

Memory

38.2MiB live, 2 546.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64)))
✓	accuracy	99.2%	(cbrt.f64 (PI.f64))
✓	accuracy	53.9%	(fma.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 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)))
✓	accuracy	52.7%	(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	99.2%	(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
✓	accuracy	53.9%	(fma.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 (PI.f64) (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)))))
✓	accuracy	52.7%	(PI.f64)
✓	accuracy	99.2%	(asin.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
✓	accuracy	99.2%	(cbrt.f64 (PI.f64))
✓	accuracy	53.9%	(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (.f64 (neg.f64 (asin.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) #s(literal -2 binary64)))
✓	accuracy	52.7%	(PI.f64)
✓	accuracy	100.0%	(*.f64 (PI.f64) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/2 binary64))
✓	accuracy	100.0%	(acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))
✓	accuracy	52.7%	(PI.f64)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
✓	accuracy	53.6%	(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
✓	accuracy	52.7%	(PI.f64)

Samples

672.0ms	125×	4	exit
445.0ms	114×	3	valid
33.0ms	17×	2	valid

Compiler

Compiled 401 to 62 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-acos: 216.0ms (20.6% of total)

ival-asin: 202.0ms (19.3% of total)

ival-pow: 134.0ms (12.8% of total)

ival-mult: 117.0ms (11.2% of total)

adjust: 89.0ms (8.5% of total)

ival-cbrt: 60.0ms (5.7% of total)

ival-sqrt: 51.0ms (4.9% of total)

ival-add: 49.0ms (4.7% of total)

ival-div: 46.0ms (4.4% of total)

const: 38.0ms (3.6% of total)

ival-copysign: 15.0ms (1.4% of total)

ival-pow2: 10.0ms (1% of total)

ival-fabs: 8.0ms (0.8% of total)

ival-neg: 5.0ms (0.5% of total)

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

exact: 3.0ms (0.3% of total)

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

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

series265.0ms (1.4%)

Memory

-17.6MiB live, 146.0MiB allocated

Counts

23 → 156

Calls

Call 1

Inputs
#<alt (/ 1 (/ 1 (+ (* -1/2 x) 1/2)))>
#<alt (+ (* 2 (acos (sqrt (/ 1 (/ 1 (+ (* -1/2 x) 1/2)))))) (* (PI) -1/2))>
#<alt (acos (sqrt (/ 1 (/ 1 (+ (* -1/2 x) 1/2)))))>
#<alt (sqrt (/ 1 (/ 1 (+ (* -1/2 x) 1/2))))>
#<alt (+ (* 2 (acos (sqrt 1/2))) (* (PI) -1/2))>
#<alt (acos (sqrt 1/2))>
#<alt (sqrt 1/2)>
#<alt (* (PI) -1/2)>
#<alt (* (neg (asin (/ -1 (sqrt (/ 1 (+ (* -1/2 x) 1/2)))))) -2)>
#<alt (+ (* (pow (PI) 2/3) (* 1/2 (cbrt (PI)))) (* (neg (asin (/ -1 (sqrt (/ 1 (+ (* -1/2 x) 1/2)))))) -2))>
#<alt (pow (PI) 2/3)>
#<alt (PI)>
#<alt (+ (* (/ 1/4 (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2))) (* (PI) (PI))) (/ (pow (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) 2) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* -1/2 (PI)))))>
#<alt (/ 1/4 (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))>
#<alt (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2))>
#<alt (asin (sqrt (+ (* x -1/2) 1/2)))>
#<alt (+ (* (* (cbrt (pow (PI) 5/3)) (pow (PI) 1/9)) (* 1/2 (cbrt (PI)))) (* (asin (sqrt (+ (* x -1/2) 1/2))) -2))>
#<alt (* (cbrt (pow (PI) 5/3)) (pow (PI) 1/9))>
#<alt (cbrt (pow (PI) 5/3))>
#<alt (pow (PI) 5/3)>
#<alt (/ 1 (+ (* -1/2 x) 1/2))>
#<alt (cbrt (PI))>
#<alt (asin (/ -1 (sqrt (/ 1 (+ (* -1/2 x) 1/2)))))>

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 (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))))>
#<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 (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 (* 2 (asin (* -1 (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (* 2 (asin (* -1 (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (* 2 (asin (* -1 (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (* 2 (asin (* -1 (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (* 2 (asin (* -1 (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (* 2 (asin (* -1 (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (* 2 (asin (* -1 (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (* 2 (asin (* -1 (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (* 2 (asin (* -1 (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (* 2 (asin (* -1 (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (* 2 (asin (* -1 (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (* 2 (asin (* -1 (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (* 1/2 (PI)) (* 2 (asin (* -1 (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (+ (* 1/2 (PI)) (* 2 (asin (* -1 (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (+ (* 1/2 (PI)) (* 2 (asin (* -1 (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (+ (* 1/2 (PI)) (* 2 (asin (* -1 (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (+ (* 1/2 (PI)) (* 2 (asin (* -1 (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (+ (* 1/2 (PI)) (* 2 (asin (* -1 (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (+ (* 1/2 (PI)) (* 2 (asin (* -1 (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (+ (* 1/2 (PI)) (* 2 (asin (* -1 (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (+ (* 1/2 (PI)) (* 2 (asin (* -1 (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (+ (* 1/2 (PI)) (* 2 (asin (* -1 (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (+ (* 1/2 (PI)) (* 2 (asin (* -1 (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (+ (* 1/2 (PI)) (* 2 (asin (* -1 (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (+ (* 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) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))))>
#<alt (+ (* 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) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))))>
#<alt (+ (* 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) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))))>
#<alt (+ (* 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) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))))>
#<alt (+ (* 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) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI))))))>
#<alt (+ (* 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) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI))))))>
#<alt (+ (* 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) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI))))))>
#<alt (+ (* 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) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI))))))>
#<alt (+ (* 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) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))))>
#<alt (+ (* 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) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))))>
#<alt (+ (* 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) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))))>
#<alt (+ (* 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) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))))>
#<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 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (* 1/2 (PI)) (* 2 (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 (asin (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 2>
#<alt (+ 2 (* 2 x))>
#<alt (+ 2 (* x (+ 2 (* 2 x))))>
#<alt (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))>
#<alt (/ -2 x)>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x)>
#<alt (/ -2 x)>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x))>
#<alt (asin (* -1 (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (asin (* -1 (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (asin (* -1 (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (asin (* -1 (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (asin (* -1 (sqrt (- 1/2 (* 1/2 x)))))>
#<alt (asin (* -1 (sqrt (- 1/2 (* 1/2 x)))))>
#<alt (asin (* -1 (sqrt (- 1/2 (* 1/2 x)))))>
#<alt (asin (* -1 (sqrt (- 1/2 (* 1/2 x)))))>
#<alt (asin (* -1 (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (asin (* -1 (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (asin (* -1 (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (asin (* -1 (sqrt (+ 1/2 (* -1/2 x)))))>

Calls

39 calls:

Time	Variable		Point	Expression
174.0ms	x	@	0	(+ (* (* (cbrt (pow (PI) 5/3)) (pow (PI) 1/9)) (* 1/2 (cbrt (PI)))) (* (asin (sqrt (+ (* x -1/2) 1/2))) -2))
1.0ms	x	@	-inf	(+ (* (/ 1/4 (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2))) (* (PI) (PI))) (/ (pow (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) 2) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* -1/2 (PI)))))
1.0ms	x	@	inf	(+ (* (/ 1/4 (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2))) (* (PI) (PI))) (/ (pow (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) 2) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* -1/2 (PI)))))
1.0ms	x	@	0	(+ (* (/ 1/4 (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2))) (* (PI) (PI))) (/ (pow (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) 2) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* -1/2 (PI)))))
1.0ms	x	@	-inf	(/ 1 (+ (* -1/2 x) 1/2))

rewrite787.0ms (4.3%)

Memory

-17.3MiB live, 695.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 030×	`accelerator-lowering-fma.f32`
6 030×	`accelerator-lowering-fma.f64`
4 558×	`-lowering-.f32`
4 558×	`-lowering-.f64`
2 824×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	230
1	307	216
2	2263	200
0	8398	171

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 916

Calls

Call 1

Inputs
(/ 1 (/ 1 (+ (* -1/2 x) 1/2)))
(+ (* 2 (acos (sqrt (/ 1 (/ 1 (+ (* -1/2 x) 1/2)))))) (* (PI) -1/2))
(acos (sqrt (/ 1 (/ 1 (+ (* -1/2 x) 1/2)))))
(sqrt (/ 1 (/ 1 (+ (* -1/2 x) 1/2))))
(+ (* 2 (acos (sqrt 1/2))) (* (PI) -1/2))
(acos (sqrt 1/2))
(sqrt 1/2)
(* (PI) -1/2)
(* (neg (asin (/ -1 (sqrt (/ 1 (+ (* -1/2 x) 1/2)))))) -2)
(+ (* (pow (PI) 2/3) (* 1/2 (cbrt (PI)))) (* (neg (asin (/ -1 (sqrt (/ 1 (+ (* -1/2 x) 1/2)))))) -2))
(pow (PI) 2/3)
(PI)
(+ (* (/ 1/4 (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2))) (* (PI) (PI))) (/ (pow (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) 2) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* -1/2 (PI)))))
(/ 1/4 (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))
(+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2))
(asin (sqrt (+ (* x -1/2) 1/2)))
(+ (* (* (cbrt (pow (PI) 5/3)) (pow (PI) 1/9)) (* 1/2 (cbrt (PI)))) (* (asin (sqrt (+ (* x -1/2) 1/2))) -2))
(* (cbrt (pow (PI) 5/3)) (pow (PI) 1/9))
(cbrt (pow (PI) 5/3))
(pow (PI) 5/3)
(/ 1 (+ (* -1/2 x) 1/2))
(cbrt (PI))
(asin (/ -1 (sqrt (/ 1 (+ (* -1/2 x) 1/2)))))

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

simplify495.0ms (2.7%)

Memory

22.1MiB live, 677.4MiB allocated

Algorithm

1×	egg-herbie

Rules

17 658×	`accelerator-lowering-fma.f32`
17 658×	`accelerator-lowering-fma.f64`
4 776×	`-lowering-.f32`
4 776×	`-lowering-.f64`
2 326×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	179	2224
1	452	2204
2	1173	2188
3	3276	2169
4	7404	2169
0	8114	1899

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

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

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

eval282.0ms (1.5%)

Memory: 5.1MiB live, 515.9MiB allocated
Compiler: Compiled 56 565 to 4 588 computations (91.9% saved)

prune290.0ms (1.6%)

Memory

13.9MiB live, 565.8MiB allocated

Pruning

40 alts after pruning (32 fresh and 8 done)

	Pruned	Kept	Total
New	1 633	9	1 642
Fresh	8	23	31
Picked	1	4	5
Done	0	4	4
Total	1 642	40	1 682

Accuracy

10.4%

Counts

1 682 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.8%	(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 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
	4.0%	(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 #s(literal 1/2 binary64)))))
	7.0%	(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 #s(literal 1/2 binary64) (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) (.f64 (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1/4 binary64)))))) #s(literal -2 binary64)))
	7.0%	(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 #s(literal 1/2 binary64) (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) (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)))
	6.9%	(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (.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)))
	7.1%	(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (.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)))
	5.8%	(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (.f64 (neg.f64 (asin.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) #s(literal -2 binary64)))
	4.0%	(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (.f64 (neg.f64 (asin.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal -2 binary64)))
✓	7.0%	(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)))
	7.0%	(fma.f64 (pow.f64 (PI.f64) #s(literal 5/9 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 4/9 binary64)) #s(literal 1/2 binary64)) (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
	7.1%	(fma.f64 (pow.f64 (PI.f64) #s(literal 1/9 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 5/9 binary64)) (.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64)))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
	7.0%	(fma.f64 (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (PI.f64)) #s(literal 1/4 binary64)) (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 (PI.f64) (.f64 (.f64 (PI.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))))))
	7.0%	(fma.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (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 (PI.f64) (.f64 (.f64 (PI.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 (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 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))))))
	7.1%	(fma.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 (PI.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)))))
	7.0%	(fma.f64 (/.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 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 (PI.f64) #s(literal 1/2 binary64)))) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (.f64 (PI.f64) #s(literal -2 binary64))) (/.f64 (.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 (PI.f64) #s(literal 1/2 binary64)))))
	7.1%	(fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (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)))) (.f64 (PI.f64) (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)))))
	7.0%	(fma.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 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (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)))))
✓	7.1%	(fma.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 (PI.f64) (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)))))
	7.0%	(fma.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) (neg.f64 (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))) (.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/4 binary64) (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 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))))) (/.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)))))
✓	7.0%	(fma.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 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)))
	7.0%	(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 (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)) #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))))))
	7.0%	(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) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (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))))))
	4.9%	(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 #s(literal 1/2 binary64))) (.f64 (PI.f64) #s(literal 1/2 binary64))))))
	7.0%	(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (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)))
	4.0%	(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 #s(literal 1/2 binary64)))))
	7.0%	(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)))
✓	7.0%	(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)))
	7.0%	(fma.f64 (asin.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1/4 binary64)) (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)))
✓	4.2%	(fma.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
✓	8.3%	(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)))
✓	8.4%	(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
✓	5.3%	(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
	7.1%	(/.f64 (fma.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -4 binary64))) #s(literal 3 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))) (.f64 (.f64 (neg.f64 (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)))) (fma.f64 (.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -4 binary64))) (-.f64 (.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -4 binary64))) (.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) (PI.f64)))) (pow.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))))) (.f64 (.f64 (neg.f64 (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)))) (fma.f64 (.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -4 binary64))) (-.f64 (.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -4 binary64))) (.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) (PI.f64)))) (pow.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 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)))))
	7.0%	(/.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 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)))) (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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
	7.0%	(/.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 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))))) (.f64 (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))) (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (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))) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal -2 binary64))) #s(literal -2 binary64))))) (.f64 (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))) (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 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)))))))
	7.0%	(/.f64 (fma.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 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) (.f64 (PI.f64) #s(literal 1/4 binary64))))) (pow.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))) #s(literal 2 binary64)))
	8.3%	(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
	8.4%	(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 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 #s(literal 1/2 binary64) (PI.f64)))) (.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 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))))) (.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 #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 #s(literal 1/2 binary64) (PI.f64)))))
	7.0%	(/.f64 (-.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 (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 (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)))) (pow.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))) #s(literal 2 binary64)))
	8.3%	(.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (.f64 #s(literal 1/2 binary64) (PI.f64)))))

Compiler

Compiled 4 190 to 1 099 computations (73.8% saved)

regimes120.0ms (0.7%)

Memory

-36.3MiB live, 250.3MiB allocated

Counts

67 → 1

Calls

Call 1

Inputs
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(fma.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -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)))
(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 (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))))))))
(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 #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (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 (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1/4 binary64)) (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)))
(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 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (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)))
(-.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)))
(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 #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)))
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(/.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 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))))) (.f64 (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))) (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (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))) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal -2 binary64))) #s(literal -2 binary64))))) (.f64 (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))) (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 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)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (PI.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)))) (/.f64 (.f64 (.f64 (PI.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))))) (.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))))))
(/.f64 (fma.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -4 binary64))) #s(literal 3 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))) (.f64 (.f64 (neg.f64 (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)))) (fma.f64 (.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -4 binary64))) (-.f64 (.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -4 binary64))) (.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) (PI.f64)))) (pow.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))))) (.f64 (.f64 (neg.f64 (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)))) (fma.f64 (.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -4 binary64))) (-.f64 (.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -4 binary64))) (.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) (PI.f64)))) (pow.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 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)))))

Outputs

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

Calls

7 calls:

18.0ms	x
18.0ms	(-.f64 #s(literal 1 binary64) x)
16.0ms	(-.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))))))
16.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
15.0ms	(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
8.4%	1	`x`
8.4%	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))))))`
8.4%	1	`(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))`
8.4%	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))`
8.4%	1	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))`
8.4%	1	`(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))`
8.4%	1	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 51 to 41 computations (19.6% saved)

regimes18.0ms (0.1%)

Memory

1.0MiB live, 40.1MiB allocated

Counts

7 → 1

Calls

Call 1

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

Outputs
(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:

3.0ms	(-.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))))))
3.0ms	x
2.0ms	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
2.0ms	(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
2.0ms	(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
8.3%	1	`x`
8.3%	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))))))`
8.3%	1	`(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))`
8.3%	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))`
8.3%	1	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))`
8.3%	1	`(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))`
8.3%	1	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 51 to 41 computations (19.6% saved)

regimes9.0ms (0.1%)

Memory

24.2MiB live, 24.2MiB allocated

Accuracy

Total -1.4b remaining (-2.2%)

Threshold costs -1.4b (-2.2%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
5.3%	1	`x`
5.3%	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))))))`
5.3%	1	`(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))`
5.3%	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))`
5.3%	1	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))`
5.3%	1	`(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))`
5.3%	1	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 51 to 41 computations (19.6% saved)

simplify8.0ms (0%)

Memory

-23.1MiB live, 16.1MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	34
1	23	34

Stop Event

1×

saturated

Calls

Call 1

Inputs

(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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)))

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

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

soundness707.0ms (3.8%)

Memory

3.3MiB live, 563.7MiB allocated

Rules

22 626×	`accelerator-lowering-fma.f32`
22 626×	`accelerator-lowering-fma.f64`
21 294×	`accelerator-lowering-fma.f32`
21 294×	`accelerator-lowering-fma.f64`
7 926×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	179	3914
1	469	3898
2	1172	3878
3	3356	3799
4	7391	3799
0	8116	3342
0	184	4566
1	498	4426
2	1213	3902
3	3471	3799
4	7876	3799
0	8496	3330
0	60	317
1	347	227
2	3044	209
0	8334	183
0	11	35
1	81	35
2	618	35
3	7258	35
0	8201	30

Stop Event

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

Compiler

Compiled 99 to 71 computations (28.3% saved)

preprocess54.0ms (0.3%)

Memory: 26.9MiB live, 184.1MiB allocated
Compiler: Compiled 104 to 64 computations (38.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	19	42
1	47	40
2	97	39
3	197	39
4	318	39
5	457	39
6	565	39
7	670	39
8	698	39
9	710	39
0	11	13
1	26	13
2	40	13
3	59	13
4	88	13
5	124	13
6	183	13
7	243	13
8	299	13
9	339	13
10	357	13
0	357	11

Iter	Nodes	Cost
0	11	50
1	26	50
2	40	50
3	59	50
4	88	50
5	124	50
6	183	50
7	243	50
8	299	50
9	339	50
10	357	50
0	357	44

Iter	Nodes	Cost
0	19	42
1	47	40
2	97	39
3	197	39
4	318	39
5	457	39
6	565	39
7	670	39
8	698	39
9	710	39
0	11	13
1	26	13
2	40	13
3	59	13
4	88	13
5	124	13
6	183	13
7	243	13
8	299	13
9	339	13
10	357	13
0	357	11

Iter	Nodes	Cost
0	11	50
1	26	50
2	40	50
3	59	50
4	88	50
5	124	50
6	183	50
7	243	50
8	299	50
9	339	50
10	357	50
0	357	44

analyze4.0ms (0%)

sample3.8s (20.5%)

preprocess44.0ms (0.2%)

explain299.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify15.0ms (0.1%)

localize111.0ms (0.6%)

series6.0ms (0%)

rewrite359.0ms (2%)

simplify599.0ms (3.3%)

eval79.0ms (0.4%)

prune74.0ms (0.4%)

simplify553.0ms (3%)

localize603.0ms (3.3%)

series42.0ms (0.2%)

rewrite568.0ms (3.1%)

simplify542.0ms (2.9%)

eval908.0ms (4.9%)

prune609.0ms (3.3%)

simplify372.0ms (2%)

localize1.4s (7.6%)

series38.0ms (0.2%)

rewrite606.0ms (3.3%)

simplify515.0ms (2.8%)

eval905.0ms (4.9%)

prune433.0ms (2.4%)

simplify419.0ms (2.3%)

localize1.5s (8.1%)

series265.0ms (1.4%)

rewrite787.0ms (4.3%)

simplify495.0ms (2.7%)

eval282.0ms (1.5%)

prune290.0ms (1.6%)

regimes120.0ms (0.7%)

regimes18.0ms (0.1%)

regimes9.0ms (0.1%)

simplify8.0ms (0%)

soundness707.0ms (3.8%)

preprocess54.0ms (0.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	19	42
1	47	40
2	97	39
3	197	39
4	318	39
5	457	39
6	565	39
7	670	39
8	698	39
9	710	39
0	11	13
1	26	13
2	40	13
3	59	13
4	88	13
5	124	13
6	183	13
7	243	13
8	299	13
9	339	13
10	357	13
0	357	11

Iter	Nodes	Cost
0	11	50
1	26	50
2	40	50
3	59	50
4	88	50
5	124	50
6	183	50
7	243	50
8	299	50
9	339	50
10	357	50
0	357	44