Metrics for bug323 (missed optimization)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
100%	25%	0%	75%	0%	0%	0%	1

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample1.8s (20.3%)

Memory

28.8MiB live, 1 404.7MiB allocated

Samples

1.3s	7 944×	1	valid
22.0ms	312×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 943.0ms

ival-acos: 324.0ms (34.4% of total)

ival-sub: 294.0ms (31.2% of total)

ival-<=: 167.0ms (17.7% of total)

adjust: 128.0ms (13.6% of total)

exact: 15.0ms (1.6% of total)

ival-and: 12.0ms (1.3% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain90.0ms (1%)

Memory

11.8MiB live, 96.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
255	-	-	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
0	-	-	`(-.f64 #s(literal 1 binary64) x)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`acos.f64`	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`	sensitivity	255	0

Confusion

	Predicted +	Predicted -
+	255	0
-	0	1

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	255	0	0
-	0	0	1

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	1
1	255

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

54.0ms	492×	1	valid
1.0ms	20×	0	valid

Compiler

Compiled 26 to 16 computations (38.5% saved)

Precisions

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

ival-acos: 23.0ms (63.2% of total)

ival-sub: 6.0ms (16.5% of total)

adjust: 6.0ms (16.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess14.0ms (0.2%)

Memory

10.6MiB live, 10.6MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`lower-+.f64`
24×	`lower-+.f32`
20×	`sub-neg`
18×	`lower--.f32`
16×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	15	9
2	27	9
3	49	9
4	67	9
5	89	9
6	102	9
0	4	4
0	6	4
1	10	4
2	14	4
3	19	4
4	26	4
5	34	4
6	44	4
7	55	4
8	58	4
0	58	4

Stop Event

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

Calls

Call 1

Inputs
(acos.f64 (-.f64 #s(literal 1 binary64) x))

Outputs
(acos.f64 (-.f64 #s(literal 1 binary64) x))

Compiler

Compiled 4 to 4 computations (0% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.8%	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Compiler

Compiled 4 to 4 computations (0% saved)

simplify4.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Rules

24×	`lower-+.f64`
24×	`lower-+.f32`
18×	`lower--.f32`
16×	`sub-neg`
16×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	9
0	6	9
1	10	9
2	14	9
3	19	9
4	26	9
5	34	9
6	44	9
7	55	9
8	58	9
0	58	9

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

Outputs
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

localize61.0ms (0.7%)

Memory

-20.3MiB live, 18.4MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	59.67997528529182	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Samples

55.0ms	246×	1	valid
0.0ms	10×	0	valid

Compiler

Compiled 11 to 6 computations (45.5% saved)

Precisions

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

ival-acos: 10.0ms (60.7% of total)

ival-sub: 3.0ms (18.2% of total)

adjust: 3.0ms (18.2% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Counts

2 → 24

Calls

Call 1

Inputs
#s(alt (acos.f64 (-.f64 #s(literal 1 binary64) x)) (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())

Inputs

#s(alt (acos.f64 (-.f64 #s(literal 1 binary64) x)) (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())

#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())

Outputs
#s(alt (acos (- 1 x)) (taylor 0 x) (#s(alt (acos.f64 (-.f64 #s(literal 1 binary64) x)) (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (acos (- 1 x)) (taylor 0 x) (#s(alt (acos.f64 (-.f64 #s(literal 1 binary64) x)) (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (acos (- 1 x)) (taylor 0 x) (#s(alt (acos.f64 (-.f64 #s(literal 1 binary64) x)) (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (acos (- 1 x)) (taylor 0 x) (#s(alt (acos.f64 (-.f64 #s(literal 1 binary64) x)) (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (acos (- 1 x)) (taylor inf x) (#s(alt (acos.f64 (-.f64 #s(literal 1 binary64) x)) (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (acos (- 1 x)) (taylor inf x) (#s(alt (acos.f64 (-.f64 #s(literal 1 binary64) x)) (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (acos (- 1 x)) (taylor inf x) (#s(alt (acos.f64 (-.f64 #s(literal 1 binary64) x)) (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (acos (- 1 x)) (taylor inf x) (#s(alt (acos.f64 (-.f64 #s(literal 1 binary64) x)) (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (acos (+ 1 (* -1 x))) (taylor -inf x) (#s(alt (acos.f64 (-.f64 #s(literal 1 binary64) x)) (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (acos (+ 1 (* -1 x))) (taylor -inf x) (#s(alt (acos.f64 (-.f64 #s(literal 1 binary64) x)) (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (acos (+ 1 (* -1 x))) (taylor -inf x) (#s(alt (acos.f64 (-.f64 #s(literal 1 binary64) x)) (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (acos (+ 1 (* -1 x))) (taylor -inf x) (#s(alt (acos.f64 (-.f64 #s(literal 1 binary64) x)) (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	((acos (- 1 x)) (- 1 x))
0.0ms	x	@	-inf	((acos (- 1 x)) (- 1 x))
0.0ms	x	@	0	((acos (- 1 x)) (- 1 x))

simplify7.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB allocated

Algorithm

1×	egg-herbie

Rules

112×	`lower-fma.f64`
112×	`lower-fma.f32`
80×	`lower-*.f64`
80×	`lower-*.f32`
48×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	80
1	29	80
2	62	80
3	113	80
4	171	80
5	239	80
6	259	80
0	259	80

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

Inputs
(acos (- 1 x))
(acos (- 1 x))
(acos (- 1 x))
(acos (- 1 x))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(acos (- 1 x))
(acos (- 1 x))
(acos (- 1 x))
(acos (- 1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(acos (+ 1 (* -1 x)))
(acos (+ 1 (* -1 x)))
(acos (+ 1 (* -1 x)))
(acos (+ 1 (* -1 x)))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))

Outputs
(acos (- 1 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos (- 1 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos (- 1 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos (- 1 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(acos (- 1 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos (- 1 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos (- 1 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos (- 1 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(acos (+ 1 (* -1 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos (+ 1 (* -1 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos (+ 1 (* -1 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos (+ 1 (* -1 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)

rewrite172.0ms (1.9%)

Memory

-30.7MiB live, 258.8MiB allocated

Rules

4 910×	`lower-fma.f64`
4 910×	`lower-fma.f32`
4 364×	`lower-*.f64`
4 364×	`lower-*.f32`
4 164×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
0	6	7
1	28	7
2	171	7
3	1385	7
0	9386	7

Stop Event

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

Counts

2 → 339

Calls

Call 1

Inputs
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)

Outputs
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (/.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (fma.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))))))
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(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 #s(literal 1 binary64) x)

eval61.0ms (0.7%)

Memory: 34.2MiB live, 147.2MiB allocated
Compiler: Compiled 11 168 to 1 327 computations (88.1% saved)

prune22.0ms (0.2%)

Memory

-23.9MiB live, 61.8MiB allocated

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	349	14	363
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	349	15	364

Accuracy

9.4%

Counts

364 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.0%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	5.0%	(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	6.7%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
▶	6.7%	(/.f64 (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	6.7%	(/.f64 (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (+.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (+.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
	6.8%	(/.f64 (-.f64 (.f64 (PI.f64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))) (.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))))
	6.7%	(/.f64 (-.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	6.8%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	6.8%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))))
▶	6.7%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
▶	6.8%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	6.8%	(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
✓	6.8%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
▶	7.0%	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
▶	3.8%	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))

Compiler

Compiled 998 to 440 computations (55.9% saved)

simplify166.0ms (1.9%)

Memory

4.4MiB live, 120.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	320	(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff	320	(.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
cost-diff	7104	(-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
cost-diff	23040	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
cost-diff	128	(.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
cost-diff	320	(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff	320	(-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
cost-diff	7104	(/.f64 (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
cost-diff	0	(PI.f64)
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
cost-diff	14272	(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff	0	#s(approx (- 1 x) #s(literal 1 binary64))
cost-diff	0	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- 1 x) (neg.f64 x))
cost-diff	0	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))

Rules

8 354×	`lower-fma.f32`
8 350×	`lower-fma.f64`
4 308×	`lower-*.f32`
4 284×	`lower-*.f64`
2 356×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	480
0	72	528
1	159	444
2	524	377
3	2269	354
0	8833	340

Stop Event

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

Calls

Call 1

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

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

localize338.0ms (3.8%)

Memory

-9.8MiB live, 151.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.320976269536884	(*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy	1.004571980630178	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	57.77111453423968	(-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
accuracy	59.67997528529182	(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	0.30859375	(/.f64 (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
accuracy	0.51953125	(pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
accuracy	57.94444855674677	(-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
accuracy	59.67997528529182	(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	0.28515625	(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
accuracy	0.320976269536884	(*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy	1.004571980630178	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	59.67997528529182	(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	1.327509159151486	#s(approx (- 1 x) #s(literal 1 binary64))
accuracy	59.67997528529182	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
accuracy	0	(neg.f64 x)
accuracy	59.67997528529182	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
accuracy	62.5688217017454	#s(approx (- 1 x) (neg.f64 x))

Samples

248.0ms	241×	1	valid
4.0ms	15×	0	valid

Compiler

Compiled 502 to 37 computations (92.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 217.0ms

ival-mult: 114.0ms (52.6% of total)

ival-div: 42.0ms (19.4% of total)

adjust: 14.0ms (6.5% of total)

ival-acos: 14.0ms (6.5% of total)

ival-sub: 12.0ms (5.5% of total)

ival-asin: 9.0ms (4.1% of total)

ival-pow2: 5.0ms (2.3% of total)

ival-add: 4.0ms (1.8% of total)

ival-pi: 2.0ms (0.9% of total)

exact: 1.0ms (0.5% of total)

ival-neg: 1.0ms (0.5% of total)

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

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

series39.0ms (0.4%)

Memory

14.3MiB live, 14.3MiB allocated

Counts

22 → 252

Calls

Call 1

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

Outputs
#s(alt (acos (- 1 x)) (taylor 0 x) (#s(alt (acos.f64 #s(approx (- 1 x) (neg.f64 x))) (patch (acos.f64 #s(approx (- 1 x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (acos (- 1 x)) (taylor 0 x) (#s(alt (acos.f64 #s(approx (- 1 x) (neg.f64 x))) (patch (acos.f64 #s(approx (- 1 x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (acos (- 1 x)) (taylor 0 x) (#s(alt (acos.f64 #s(approx (- 1 x) (neg.f64 x))) (patch (acos.f64 #s(approx (- 1 x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (acos (- 1 x)) (taylor 0 x) (#s(alt (acos.f64 #s(approx (- 1 x) (neg.f64 x))) (patch (acos.f64 #s(approx (- 1 x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (acos (- 1 x)) (taylor 0 x) (#s(alt (acos.f64 #s(approx (- 1 x) #s(literal 1 binary64))) (patch (acos.f64 #s(approx (- 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (acos (- 1 x)) (taylor 0 x) (#s(alt (acos.f64 #s(approx (- 1 x) #s(literal 1 binary64))) (patch (acos.f64 #s(approx (- 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (acos (- 1 x)) (taylor 0 x) (#s(alt (acos.f64 #s(approx (- 1 x) #s(literal 1 binary64))) (patch (acos.f64 #s(approx (- 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (acos (- 1 x)) (taylor 0 x) (#s(alt (acos.f64 #s(approx (- 1 x) #s(literal 1 binary64))) (patch (acos.f64 #s(approx (- 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (acos (- 1 x))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (patch (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (acos (- 1 x))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (patch (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (acos (- 1 x))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (patch (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (acos (- 1 x))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (patch (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (acos (- 1 x)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())) ())
#s(alt (acos (- 1 x)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())) ())
#s(alt (acos (- 1 x)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())) ())
#s(alt (acos (- 1 x)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())) ())
#s(alt (+ (asin (- 1 x)) (* 1/2 (PI))) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (patch (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ (asin (- 1 x)) (* 1/2 (PI))) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (patch (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ (asin (- 1 x)) (* 1/2 (PI))) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (patch (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
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Calls

3 calls:

Time

Variable

Point

Expression

11.0ms

-inf

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

8.0ms

inf

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

7.0ms

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

simplify150.0ms (1.7%)

Memory

14.1MiB live, 49.6MiB allocated

Algorithm

1×	egg-herbie

Rules

14 854×	`lower-fma.f64`
14 854×	`lower-fma.f32`
4 924×	`lower-*.f64`
4 924×	`lower-*.f32`
1 802×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	3388
1	250	3064
2	520	2836
3	1474	2416
4	5535	2284
0	8362	2104

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

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

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

rewrite351.0ms (3.9%)

Memory

0.4MiB live, 201.9MiB allocated

Rules

5 494×	`lower-*.f32`
5 470×	`lower-*.f64`
5 268×	`lower-fma.f32`
5 264×	`lower-fma.f64`
3 156×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	321
0	72	321
1	301	242
2	2800	209
0	8651	201

Stop Event

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

Counts

22 → 1 445

Calls

Call 1

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

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

eval577.0ms (6.4%)

Memory: 29.6MiB live, 866.4MiB allocated
Compiler: Compiled 199 080 to 10 925 computations (94.5% saved)

prune147.0ms (1.6%)

Memory

26.1MiB live, 264.2MiB allocated

Pruning

46 alts after pruning (43 fresh and 3 done)

	Pruned	Kept	Total
New	3 457	41	3 498
Fresh	7	2	9
Picked	3	2	5
Done	0	1	1
Total	3 467	46	3 513

Accuracy

10.8%

Counts

3 513 → 46

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.7%	(fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (PI.f64) (fma.f64 #s(literal 2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) (neg.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	6.7%	(fma.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
▶	5.0%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.4%	(fma.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	5.0%	(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	7.0%	(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 #s(approx (- 1 x) (neg.f64 x)))))
▶	6.7%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.4%	(/.f64 (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 #s(literal -2 binary64) (PI.f64)) (-.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	5.0%	(/.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal -2 binary64) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.4%	(/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 #s(literal -2 binary64) (PI.f64)) (-.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	5.0%	(/.f64 (fma.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)) (.f64 #s(literal -2 binary64) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
▶	5.0%	(/.f64 (fma.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64) (.f64 #s(literal -2 binary64) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.4%	(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 #s(literal -2 binary64) (PI.f64)) (-.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	3.1%	(/.f64 (/.f64 (fma.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (PI.f64) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (.f64 (-.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (PI.f64))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.4%	(/.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (PI.f64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))) (.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.4%	(/.f64 (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.4%	(/.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (PI.f64)) (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (PI.f64)) #s(literal 2 binary64)) (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64))))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (PI.f64)) (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
▶	10.4%	(/.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	3.1%	(/.f64 (/.f64 (fma.f64 (neg.f64 (.f64 (-.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (PI.f64) (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (.f64 (PI.f64) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.4%	(/.f64 (/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (PI.f64)) #s(literal 2 binary64)) (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (PI.f64)) (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) (.f64 (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (PI.f64)) (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	3.1%	(/.f64 (/.f64 (-.f64 (.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64))) (pow.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) #s(literal 2 binary64)))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (pow.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64))) (pow.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	3.1%	(/.f64 (/.f64 (-.f64 (.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64))) (pow.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) #s(literal 2 binary64))) (PI.f64))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) #s(literal 2 binary64)))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64))) (pow.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) #s(literal 2 binary64))) (PI.f64)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
▶	3.1%	(/.f64 (/.f64 (-.f64 (.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 (-.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (PI.f64)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	3.1%	(/.f64 (/.f64 (-.f64 (.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (PI.f64))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 (-.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (PI.f64)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	3.1%	(/.f64 (-.f64 (/.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	4.9%	(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	5.0%	(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.4%	(/.f64 (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.4%	(/.f64 (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.4%	(/.f64 (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	6.7%	(/.f64 (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)))
	6.7%	(/.f64 (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))
	4.9%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 2 binary64) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	5.0%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.4%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.4%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.4%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	3.1%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (PI.f64) (/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (PI.f64) #s(literal 1/2 binary64))))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	4.9%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))
	5.0%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))
	6.8%	(-.f64 (/.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (fma.f64 #s(literal 2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
✓	6.8%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
✓	7.0%	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
✓	3.8%	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
	6.8%	#s(approx (/ (- (* (PI) (+ (* 1/2 (PI)) (acos (- 1 x)))) (* 2 (- (* 1/4 (* (PI) (PI))) (pow (acos (- 1 x)) 2)))) (* 2 (+ (* 1/2 (PI)) (acos (- 1 x))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
	6.8%	#s(approx (/ (- (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (PI)) (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (* (/ 2 (PI)) (* 2 (+ (* 1/2 (PI)) (asin (- 1 x)))))) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (PI.f64)))

Compiler

Compiled 4 621 to 1 944 computations (57.9% saved)

simplify147.0ms (1.6%)

Memory

-85.9MiB live, 45.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	320	(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff	6912	(-.f64 (.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 (-.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))))
cost-diff	7296	(.f64 (-.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
cost-diff	17536	(/.f64 (-.f64 (.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 (-.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (PI.f64))))
cost-diff	0	(/.f64 (fma.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64) (.f64 #s(literal -2 binary64) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
cost-diff	192	(.f64 #s(literal -2 binary64) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff	320	(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff	27008	(fma.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64) (.f64 #s(literal -2 binary64) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
cost-diff	0	(PI.f64)
cost-diff	0	(cbrt.f64 (PI.f64))
cost-diff	0	(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
cost-diff	19584	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff	0	(asin.f64 (-.f64 #s(literal 1 binary64) x))
cost-diff	0	(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
cost-diff	0	(PI.f64)
cost-diff	0	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff	0	(/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff	0	(/.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
cost-diff	320	(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff	6912	(fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64))))

Rules

8 184×	`lower-fma.f32`
8 162×	`lower-fma.f64`
5 778×	`lower-*.f32`
5 736×	`lower-*.f64`
3 704×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	1040
0	125	1032
1	251	1018
2	629	970
3	3066	873
0	8189	854

Stop Event

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

Calls

Call 1

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

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

localize350.0ms (3.9%)

Memory

30.0MiB live, 145.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	56.93779644197005	(-.f64 (.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 (-.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))))
accuracy	57.73484807829956	(-.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
accuracy	57.852044797736795	(-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
accuracy	59.67997528529182	(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	1.0	(cbrt.f64 (PI.f64))
accuracy	1.004571980630178	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	55.98121559816728	(fma.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64) (.f64 #s(literal -2 binary64) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
accuracy	59.67997528529182	(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	1.0	(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
accuracy	1.0	(cbrt.f64 (PI.f64))
accuracy	1.004571980630178	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	55.987278388017415	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
accuracy	0	(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy	0	(PI.f64)
accuracy	1.004571980630178	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	57.733078663799425	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
accuracy	1.004571980630178	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	1.58496250072115	(pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 4 binary64))
accuracy	55.98530762754605	(fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64))))
accuracy	59.67997528529182	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Samples

265.0ms	245×	1	valid
5.0ms	11×	0	valid

Compiler

Compiled 1 101 to 71 computations (93.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 213.0ms

ival-mult: 69.0ms (32.3% of total)

adjust: 29.0ms (13.6% of total)

ival-add: 22.0ms (10.3% of total)

ival-div: 18.0ms (8.4% of total)

ival-acos: 14.0ms (6.6% of total)

ival-pow2: 13.0ms (6.1% of total)

ival-pow: 13.0ms (6.1% of total)

ival-sub: 12.0ms (5.6% of total)

ival-asin: 11.0ms (5.2% of total)

ival-cbrt: 4.0ms (1.9% of total)

ival-sqrt: 3.0ms (1.4% of total)

ival-pi: 3.0ms (1.4% of total)

ival-neg: 2.0ms (0.9% of total)

exact: 1.0ms (0.5% of total)

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

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

series65.0ms (0.7%)

Memory

-18.3MiB live, 23.0MiB allocated

Counts

22 → 216

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)))) (patch (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (patch (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (patch (/.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())
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Outputs
#s(alt (+ (* -2 (* (asin (- 1 x)) (- (* 1/16 (pow (PI) 4)) (pow (acos (- 1 x)) 4)))) (* (PI) (* (asin (- 1 x)) (* (+ (acos (- 1 x)) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2)))))) (taylor 0 x) (#s(alt (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)))) (patch (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (* (asin (- 1 x)) (- (* 1/16 (pow (PI) 4)) (pow (acos (- 1 x)) 4)))) (* (PI) (* (asin (- 1 x)) (* (+ (acos (- 1 x)) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2)))))) (taylor 0 x) (#s(alt (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)))) (patch (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (* (asin (- 1 x)) (- (* 1/16 (pow (PI) 4)) (pow (acos (- 1 x)) 4)))) (* (PI) (* (asin (- 1 x)) (* (+ (acos (- 1 x)) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2)))))) (taylor 0 x) (#s(alt (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)))) (patch (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (* (asin (- 1 x)) (- (* 1/16 (pow (PI) 4)) (pow (acos (- 1 x)) 4)))) (* (PI) (* (asin (- 1 x)) (* (+ (acos (- 1 x)) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2)))))) (taylor 0 x) (#s(alt (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)))) (patch (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (+ (acos (- 1 x)) (* 1/2 (PI)))) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (patch (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
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#s(alt (- (pow (PI) 2) (* 4 (pow (asin (+ 1 (* -1 x))) 2))) (taylor -inf x) (#s(alt (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (patch (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (PI) (* 2 (asin (+ 1 (* -1 x))))) (taylor -inf x) (#s(alt (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (patch (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (- (PI) (* 2 (asin (+ 1 (* -1 x))))) (taylor -inf x) (#s(alt (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (patch (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (- (PI) (* 2 (asin (+ 1 (* -1 x))))) (taylor -inf x) (#s(alt (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (patch (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (- (PI) (* 2 (asin (+ 1 (* -1 x))))) (taylor -inf x) (#s(alt (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (patch (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

20.0ms

inf

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

19.0ms

-inf

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

12.0ms

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

simplify154.0ms (1.7%)

Memory

21.0MiB live, 57.9MiB allocated

Algorithm

1×	egg-herbie

Rules

14 244×	`lower-fma.f64`
14 244×	`lower-fma.f32`
5 480×	`lower-*.f64`
5 480×	`lower-*.f32`
3 276×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	114	5928
1	409	5928
2	817	5616
3	3009	5016
4	5844	4800
0	8520	4416

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

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

rewrite241.0ms (2.7%)

Memory

-10.3MiB live, 110.2MiB allocated

Rules

6 504×	`lower-fma.f32`
6 482×	`lower-fma.f64`
5 956×	`lower-*.f32`
5 916×	`lower-*.f64`
2 756×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	490
0	119	478
1	509	419
2	3895	415
0	9587	400

Stop Event

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

Counts

22 → 799

Calls

Call 1

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

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

eval549.0ms (6.1%)

Memory: 47.7MiB live, 445.8MiB allocated
Compiler: Compiled 229 039 to 12 067 computations (94.7% saved)

prune172.0ms (1.9%)

Memory

4.6MiB live, 207.8MiB allocated

Pruning

58 alts after pruning (53 fresh and 5 done)

	Pruned	Kept	Total
New	3 385	35	3 420
Fresh	20	18	38
Picked	3	2	5
Done	0	3	3
Total	3 408	58	3 466

Accuracy

11.0%

Counts

3 466 → 58

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.4%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	5.0%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
✓	5.0%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	5.0%	(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.4%	(fma.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	5.0%	(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.4%	(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	7.0%	(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 #s(approx (- 1 x) (neg.f64 x)))))
	10.4%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.4%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
▶	6.8%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
✓	6.7%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.4%	(/.f64 (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 #s(literal -2 binary64) (PI.f64)) (-.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
▶	10.4%	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 2 binary64) (PI.f64))))
	4.9%	(/.f64 (fma.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)) (fma.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	5.0%	(/.f64 (fma.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (PI.f64) (.f64 #s(literal -2 binary64) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.4%	(/.f64 (fma.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (fma.f64 #s(literal 2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)))
	10.4%	(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 #s(literal -2 binary64) (PI.f64)) (-.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
▶	10.4%	(/.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -2 binary64))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	3.1%	(/.f64 (/.f64 (fma.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (PI.f64) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (.f64 (-.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (PI.f64))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.4%	(/.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.4%	(/.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.4%	(/.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (PI.f64)) (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (PI.f64)) #s(literal 2 binary64)) (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64))))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (PI.f64)) (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.4%	(/.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	8.3%	(/.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (PI.f64)))))) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.4%	(/.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.4%	(/.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.4%	(/.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 8 binary64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
▶	10.4%	(/.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
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	5.7%	(/.f64 (/.f64 (-.f64 (.f64 (fma.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (PI.f64) (PI.f64))) (sqrt.f64 (PI.f64))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 (-.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (PI.f64)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	3.9%	(/.f64 (/.f64 (-.f64 (.f64 (fma.f64 (PI.f64) (PI.f64) (.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (sqrt.f64 (PI.f64))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 (-.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (PI.f64)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	3.1%	(/.f64 (/.f64 (-.f64 (.f64 (/.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (PI.f64) (PI.f64)))) (sqrt.f64 (PI.f64))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 (-.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (PI.f64)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.4%	(/.f64 (/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (PI.f64)) #s(literal 2 binary64)) (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (PI.f64)) (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) (.f64 (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (PI.f64)) (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	3.8%	(/.f64 (/.f64 (-.f64 (.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))) (/.f64 (.f64 (-.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (PI.f64)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	3.1%	(/.f64 (/.f64 (-.f64 (.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (.f64 (/.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (PI.f64) (PI.f64))))) (/.f64 (.f64 (-.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (PI.f64)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	3.1%	(/.f64 (/.f64 (-.f64 (.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 (-.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (PI.f64)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	3.1%	(/.f64 (/.f64 (-.f64 (.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 (-.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (PI.f64)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	3.1%	(/.f64 (/.f64 (-.f64 (.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 (-.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (PI.f64)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	6.7%	(/.f64 (/.f64 (-.f64 (.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 (-.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))))) (.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))) (sqrt.f64 (PI.f64)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	3.1%	(/.f64 (/.f64 (-.f64 (.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(approx ( (- (* (+ (* (PI) 1/2) (asin (- 1 x))) (PI)) (* (+ (* 2 (asin (- 1 x))) (PI)) (acos (- 1 x)))) 2) (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) (PI.f64)))) (sqrt.f64 (PI.f64))))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (PI.f64)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	3.1%	(/.f64 (/.f64 #s(approx (- (* (- (* (PI) (PI)) (pow (* 2 (asin (- 1 x))) 2)) (sqrt (PI))) (* (- (PI) (* 2 (asin (- 1 x)))) (/ (* (- (* (+ (* (PI) 1/2) (asin (- 1 x))) (PI)) (* (+ (* 2 (asin (- 1 x))) (PI)) (acos (- 1 x)))) 2) (sqrt (PI))))) (fma.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) (neg.f64 (PI.f64))) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) (PI.f64))) (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) (PI.f64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (PI.f64) (PI.f64))) (sqrt.f64 (PI.f64))))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (PI.f64)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	3.1%	(/.f64 (-.f64 (/.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	4.9%	(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.4%	(/.f64 (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.4%	(/.f64 (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.4%	(/.f64 (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	4.9%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 2 binary64) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
▶	5.0%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.4%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	3.1%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (PI.f64) (/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (PI.f64) #s(literal 1/2 binary64))))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	3.1%	(/.f64 #s(approx (/ (- (* (- (* (PI) (PI)) (pow (* 2 (asin (- 1 x))) 2)) (sqrt (PI))) (* (- (PI) (* 2 (asin (- 1 x)))) (/ (* (- (* (+ (* (PI) 1/2) (asin (- 1 x))) (PI)) (* (+ (* 2 (asin (- 1 x))) (PI)) (acos (- 1 x)))) 2) (sqrt (PI))))) (* (- (PI) (* 2 (asin (- 1 x)))) (sqrt (PI)))) (.f64 (fma.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) (PI.f64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (PI.f64) (PI.f64))) (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) (PI.f64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	4.9%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))
	10.4%	(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) #s(literal -1 binary64)))
✓	6.8%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
✓	7.0%	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
✓	3.8%	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
	6.8%	#s(approx (/ (- (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (PI)) (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (* (/ 2 (PI)) (* 2 (+ (* 1/2 (PI)) (asin (- 1 x)))))) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (PI.f64)))

Compiler

Compiled 6 151 to 2 762 computations (55.1% saved)

simplify144.0ms (1.6%)

Memory

-25.4MiB live, 51.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (fma.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -2 binary64))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff	0	(/.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -2 binary64))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
cost-diff	320	(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff	768	(fma.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -2 binary64)))
cost-diff	192	(+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff	192	(+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
cost-diff	320	(.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
cost-diff	6912	(*.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
cost-diff	320	(.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
cost-diff	1600	(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
cost-diff	7104	(-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
cost-diff	8000	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
cost-diff	0	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff	0	(PI.f64)
cost-diff	256	(neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
cost-diff	768	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
cost-diff	128	(.f64 #s(literal -2 binary64) (-.f64 (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))
cost-diff	320	(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff	320	(.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64))
cost-diff	768	(fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64))))

Rules

15 876×	`lower-fma.f32`
15 856×	`lower-fma.f64`
5 078×	`lower-*.f32`
5 026×	`lower-*.f64`
3 048×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	1240
0	142	1147
1	321	1112
2	965	1020
3	4379	1002
0	8468	974

Stop Event

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

Calls

Call 1

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

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

localize395.0ms (4.4%)

Memory

4.7MiB live, 160.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.004571980630178	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	1.58496250072115	(pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64))
accuracy	58.95473542602511	(fma.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -2 binary64)))
accuracy	59.67997528529182	(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	0.33203125	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 2 binary64) (PI.f64))))
accuracy	1.0019913086106522	(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
accuracy	1.004571980630178	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	58.931517820468315	(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	1.004571980630178	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	57.77111453423968	(-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
accuracy	59.67997528529182	(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	0	(PI.f64)
accuracy	0.0234375	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
accuracy	57.733078663799425	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
accuracy	59.67997528529182	(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	1.0	(.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/4 binary64) (PI.f64)))
accuracy	1.004571980630178	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	55.98530762754605	(fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64))))
accuracy	59.67997528529182	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Samples

284.0ms	243×	1	valid
7.0ms	13×	0	valid

Compiler

Compiled 1 305 to 80 computations (93.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 230.0ms

ival-mult: 81.0ms (35.2% of total)

adjust: 32.0ms (13.9% of total)

ival-add: 23.0ms (10% of total)

ival-div: 21.0ms (9.1% of total)

ival-pow: 16.0ms (7% of total)

ival-sub: 13.0ms (5.6% of total)

ival-acos: 13.0ms (5.6% of total)

ival-asin: 9.0ms (3.9% of total)

ival-pow2: 9.0ms (3.9% of total)

ival-sqrt: 5.0ms (2.2% of total)

ival-pi: 4.0ms (1.7% of total)

ival-neg: 4.0ms (1.7% of total)

exact: 1.0ms (0.4% of total)

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

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

series38.0ms (0.4%)

Memory

22.2MiB live, 22.2MiB allocated

Counts

28 → 264

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)))) (patch (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64)) (patch (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (patch (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -2 binary64) (-.f64 (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (patch (.f64 #s(literal -2 binary64) (-.f64 (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (patch (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) #<representation binary64>) () ())
#s(alt (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (patch (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (patch (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (patch (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (patch (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())
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Outputs
#s(alt (+ (* -2 (* (asin (- 1 x)) (- (* 1/16 (pow (PI) 4)) (pow (acos (- 1 x)) 4)))) (* (PI) (* (asin (- 1 x)) (* (+ (acos (- 1 x)) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2)))))) (taylor 0 x) (#s(alt (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)))) (patch (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -2 (* (asin (- 1 x)) (- (* 1/16 (pow (PI) 4)) (pow (acos (- 1 x)) 4)))) (* (PI) (* (asin (- 1 x)) (* (+ (acos (- 1 x)) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2)))))) (taylor 0 x) (#s(alt (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)))) (patch (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (* (asin (- 1 x)) (- (* 1/16 (pow (PI) 4)) (pow (acos (- 1 x)) 4)))) (* (PI) (* (asin (- 1 x)) (* (+ (acos (- 1 x)) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2)))))) (taylor 0 x) (#s(alt (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)))) (patch (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (+ (acos (- 1 x)) (* 1/2 (PI)))) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (patch (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
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Calls

3 calls:

Time

Variable

Point

Expression

7.0ms

-inf

((+ (* (* -2 (- (* (* (* (* (PI) (PI)) 1/4) (* 1/4 (PI))) (PI)) (pow (acos (- 1 x)) 4))) (asin (- 1 x))) (* (+ (* (* 1/4 (PI)) (PI)) (pow (acos (- 1 x)) 2)) (* (* (+ (* (PI) 1/2) (acos (- 1 x))) (asin (- 1 x))) (PI)))) (* (* (* (* (PI) (PI)) 1/4) (* 1/4 (PI))) (PI)) (* 2 (+ (* 1/2 (PI)) (acos (- 1 x)))) (* -2 (- (* (* (* (* (PI) (PI)) 1/4) (* 1/4 (PI))) (PI)) (pow (acos (- 1 x)) 4))) (+ (* (PI) 1/2) (neg (+ (* (PI) 1/2) (neg (acos (- 1 x)))))) (neg (+ (* (PI) 1/2) (neg (acos (- 1 x))))) (PI) (+ (* (PI) 1/2) (neg (acos (- 1 x)))) (/ (- (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (* (sqrt (PI)) (sqrt (PI)))) (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (* (/ 2 (PI)) (* 2 (+ (* 1/2 (PI)) (asin (- 1 x)))))) (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))) (* (sqrt (PI)) (sqrt (PI))) (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* 0 (asin (- 1 x))) (* (+ 0 (+ (pow (asin (- 1 x)) 2) (* 0 (asin (- 1 x))))) 1) (+ 0 (+ (pow (asin (- 1 x)) 2) (* 0 (asin (- 1 x))))) (+ (pow (asin (- 1 x)) 2) (* 0 (asin (- 1 x)))) (+ (* (+ (* (* (PI) (PI)) 1/4) (pow (acos (- 1 x)) 2)) (* (* (asin (- 1 x)) (PI)) (+ (* 1/2 (PI)) (acos (- 1 x))))) (* (* (- (pow (* 1/2 (PI)) 4) (pow (acos (- 1 x)) 4)) (asin (- 1 x))) -2)) (/ (/ (+ (* (+ (* (* (PI) (PI)) 1/4) (pow (acos (- 1 x)) 2)) (* (* (asin (- 1 x)) (PI)) (+ (* 1/2 (PI)) (acos (- 1 x))))) (* (* (- (pow (* 1/2 (PI)) 4) (pow (acos (- 1 x)) 4)) (asin (- 1 x))) -2)) (* (+ (* (* 1/4 (PI)) (PI)) (pow (acos (- 1 x)) 2)) (asin (- 1 x)))) (* 2 (+ (* 1/2 (PI)) (acos (- 1 x))))) (/ (+ (* (+ (* (* (PI) (PI)) 1/4) (pow (acos (- 1 x)) 2)) (* (* (asin (- 1 x)) (PI)) (+ (* 1/2 (PI)) (acos (- 1 x))))) (* (* (- (pow (* 1/2 (PI)) 4) (pow (acos (- 1 x)) 4)) (asin (- 1 x))) -2)) (* (+ (* (* 1/4 (PI)) (PI)) (pow (acos (- 1 x)) 2)) (asin (- 1 x)))) (acos (- 1 x)) (asin (- 1 x)) (* (* (* (PI) (PI)) 1/4) (* 1/4 (PI))) (- (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (* (sqrt (PI)) (sqrt (PI)))) (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (sqrt (PI)) (+ (* (- 0 (pow (asin (- 1 x)) 3)) (/ 2 (PI))) (* (+ 0 (+ (pow (asin (- 1 x)) 2) (* 0 (asin (- 1 x))))) 1)) (pow (asin (- 1 x)) 3) (/ (+ (* (- 0 (pow (asin (- 1 x)) 3)) (/ 2 (PI))) (* (+ 0 (+ (pow (asin (- 1 x)) 2) (* 0 (asin (- 1 x))))) 1)) (* (+ 0 (+ (pow (asin (- 1 x)) 2) (* 0 (asin (- 1 x))))) (/ 2 (PI)))) (pow (* 1/2 (PI)) 4))

7.0ms

((+ (* (* -2 (- (* (* (* (* (PI) (PI)) 1/4) (* 1/4 (PI))) (PI)) (pow (acos (- 1 x)) 4))) (asin (- 1 x))) (* (+ (* (* 1/4 (PI)) (PI)) (pow (acos (- 1 x)) 2)) (* (* (+ (* (PI) 1/2) (acos (- 1 x))) (asin (- 1 x))) (PI)))) (* (* (* (* (PI) (PI)) 1/4) (* 1/4 (PI))) (PI)) (* 2 (+ (* 1/2 (PI)) (acos (- 1 x)))) (* -2 (- (* (* (* (* (PI) (PI)) 1/4) (* 1/4 (PI))) (PI)) (pow (acos (- 1 x)) 4))) (+ (* (PI) 1/2) (neg (+ (* (PI) 1/2) (neg (acos (- 1 x)))))) (neg (+ (* (PI) 1/2) (neg (acos (- 1 x))))) (PI) (+ (* (PI) 1/2) (neg (acos (- 1 x)))) (/ (- (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (* (sqrt (PI)) (sqrt (PI)))) (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (* (/ 2 (PI)) (* 2 (+ (* 1/2 (PI)) (asin (- 1 x)))))) (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))) (* (sqrt (PI)) (sqrt (PI))) (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* 0 (asin (- 1 x))) (* (+ 0 (+ (pow (asin (- 1 x)) 2) (* 0 (asin (- 1 x))))) 1) (+ 0 (+ (pow (asin (- 1 x)) 2) (* 0 (asin (- 1 x))))) (+ (pow (asin (- 1 x)) 2) (* 0 (asin (- 1 x)))) (+ (* (+ (* (* (PI) (PI)) 1/4) (pow (acos (- 1 x)) 2)) (* (* (asin (- 1 x)) (PI)) (+ (* 1/2 (PI)) (acos (- 1 x))))) (* (* (- (pow (* 1/2 (PI)) 4) (pow (acos (- 1 x)) 4)) (asin (- 1 x))) -2)) (/ (/ (+ (* (+ (* (* (PI) (PI)) 1/4) (pow (acos (- 1 x)) 2)) (* (* (asin (- 1 x)) (PI)) (+ (* 1/2 (PI)) (acos (- 1 x))))) (* (* (- (pow (* 1/2 (PI)) 4) (pow (acos (- 1 x)) 4)) (asin (- 1 x))) -2)) (* (+ (* (* 1/4 (PI)) (PI)) (pow (acos (- 1 x)) 2)) (asin (- 1 x)))) (* 2 (+ (* 1/2 (PI)) (acos (- 1 x))))) (/ (+ (* (+ (* (* (PI) (PI)) 1/4) (pow (acos (- 1 x)) 2)) (* (* (asin (- 1 x)) (PI)) (+ (* 1/2 (PI)) (acos (- 1 x))))) (* (* (- (pow (* 1/2 (PI)) 4) (pow (acos (- 1 x)) 4)) (asin (- 1 x))) -2)) (* (+ (* (* 1/4 (PI)) (PI)) (pow (acos (- 1 x)) 2)) (asin (- 1 x)))) (acos (- 1 x)) (asin (- 1 x)) (* (* (* (PI) (PI)) 1/4) (* 1/4 (PI))) (- (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (* (sqrt (PI)) (sqrt (PI)))) (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (sqrt (PI)) (+ (* (- 0 (pow (asin (- 1 x)) 3)) (/ 2 (PI))) (* (+ 0 (+ (pow (asin (- 1 x)) 2) (* 0 (asin (- 1 x))))) 1)) (pow (asin (- 1 x)) 3) (/ (+ (* (- 0 (pow (asin (- 1 x)) 3)) (/ 2 (PI))) (* (+ 0 (+ (pow (asin (- 1 x)) 2) (* 0 (asin (- 1 x))))) 1)) (* (+ 0 (+ (pow (asin (- 1 x)) 2) (* 0 (asin (- 1 x))))) (/ 2 (PI)))) (pow (* 1/2 (PI)) 4))

7.0ms

inf

((+ (* (* -2 (- (* (* (* (* (PI) (PI)) 1/4) (* 1/4 (PI))) (PI)) (pow (acos (- 1 x)) 4))) (asin (- 1 x))) (* (+ (* (* 1/4 (PI)) (PI)) (pow (acos (- 1 x)) 2)) (* (* (+ (* (PI) 1/2) (acos (- 1 x))) (asin (- 1 x))) (PI)))) (* (* (* (* (PI) (PI)) 1/4) (* 1/4 (PI))) (PI)) (* 2 (+ (* 1/2 (PI)) (acos (- 1 x)))) (* -2 (- (* (* (* (* (PI) (PI)) 1/4) (* 1/4 (PI))) (PI)) (pow (acos (- 1 x)) 4))) (+ (* (PI) 1/2) (neg (+ (* (PI) 1/2) (neg (acos (- 1 x)))))) (neg (+ (* (PI) 1/2) (neg (acos (- 1 x))))) (PI) (+ (* (PI) 1/2) (neg (acos (- 1 x)))) (/ (- (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (* (sqrt (PI)) (sqrt (PI)))) (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (* (/ 2 (PI)) (* 2 (+ (* 1/2 (PI)) (asin (- 1 x)))))) (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))) (* (sqrt (PI)) (sqrt (PI))) (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* 0 (asin (- 1 x))) (* (+ 0 (+ (pow (asin (- 1 x)) 2) (* 0 (asin (- 1 x))))) 1) (+ 0 (+ (pow (asin (- 1 x)) 2) (* 0 (asin (- 1 x))))) (+ (pow (asin (- 1 x)) 2) (* 0 (asin (- 1 x)))) (+ (* (+ (* (* (PI) (PI)) 1/4) (pow (acos (- 1 x)) 2)) (* (* (asin (- 1 x)) (PI)) (+ (* 1/2 (PI)) (acos (- 1 x))))) (* (* (- (pow (* 1/2 (PI)) 4) (pow (acos (- 1 x)) 4)) (asin (- 1 x))) -2)) (/ (/ (+ (* (+ (* (* (PI) (PI)) 1/4) (pow (acos (- 1 x)) 2)) (* (* (asin (- 1 x)) (PI)) (+ (* 1/2 (PI)) (acos (- 1 x))))) (* (* (- (pow (* 1/2 (PI)) 4) (pow (acos (- 1 x)) 4)) (asin (- 1 x))) -2)) (* (+ (* (* 1/4 (PI)) (PI)) (pow (acos (- 1 x)) 2)) (asin (- 1 x)))) (* 2 (+ (* 1/2 (PI)) (acos (- 1 x))))) (/ (+ (* (+ (* (* (PI) (PI)) 1/4) (pow (acos (- 1 x)) 2)) (* (* (asin (- 1 x)) (PI)) (+ (* 1/2 (PI)) (acos (- 1 x))))) (* (* (- (pow (* 1/2 (PI)) 4) (pow (acos (- 1 x)) 4)) (asin (- 1 x))) -2)) (* (+ (* (* 1/4 (PI)) (PI)) (pow (acos (- 1 x)) 2)) (asin (- 1 x)))) (acos (- 1 x)) (asin (- 1 x)) (* (* (* (PI) (PI)) 1/4) (* 1/4 (PI))) (- (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (* (sqrt (PI)) (sqrt (PI)))) (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (sqrt (PI)) (+ (* (- 0 (pow (asin (- 1 x)) 3)) (/ 2 (PI))) (* (+ 0 (+ (pow (asin (- 1 x)) 2) (* 0 (asin (- 1 x))))) 1)) (pow (asin (- 1 x)) 3) (/ (+ (* (- 0 (pow (asin (- 1 x)) 3)) (/ 2 (PI))) (* (+ 0 (+ (pow (asin (- 1 x)) 2) (* 0 (asin (- 1 x))))) 1)) (* (+ 0 (+ (pow (asin (- 1 x)) 2) (* 0 (asin (- 1 x))))) (/ 2 (PI)))) (pow (* 1/2 (PI)) 4))

simplify323.0ms (3.6%)

Memory

-174.2MiB live, 58.7MiB allocated

Algorithm

1×	egg-herbie

Rules

11 636×	`lower-fma.f64`
11 636×	`lower-fma.f32`
5 602×	`lower-*.f64`
5 602×	`lower-*.f32`
3 936×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	5856
1	378	5532
2	807	5196
3	2487	4896
4	7598	4896
0	8259	4524

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(+ (* -2 (* (asin (- 1 x)) (- (* 1/16 (pow (PI) 4)) (pow (acos (- 1 x)) 4)))) (* (PI) (* (asin (- 1 x)) (* (+ (acos (- 1 x)) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))))
(+ (* -2 (* (asin (- 1 x)) (- (* 1/16 (pow (PI) 4)) (pow (acos (- 1 x)) 4)))) (* (PI) (* (asin (- 1 x)) (* (+ (acos (- 1 x)) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))))
(+ (* -2 (* (asin (- 1 x)) (- (* 1/16 (pow (PI) 4)) (pow (acos (- 1 x)) 4)))) (* (PI) (* (asin (- 1 x)) (* (+ (acos (- 1 x)) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))))
(+ (* -2 (* (asin (- 1 x)) (- (* 1/16 (pow (PI) 4)) (pow (acos (- 1 x)) 4)))) (* (PI) (* (asin (- 1 x)) (* (+ (acos (- 1 x)) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))))
(* 2 (+ (acos (- 1 x)) (* 1/2 (PI))))
(* 2 (+ (acos (- 1 x)) (* 1/2 (PI))))
(* 2 (+ (acos (- 1 x)) (* 1/2 (PI))))
(* 2 (+ (acos (- 1 x)) (* 1/2 (PI))))
(* -2 (- (* 1/16 (pow (PI) 4)) (pow (acos (- 1 x)) 4)))
(* -2 (- (* 1/16 (pow (PI) 4)) (pow (acos (- 1 x)) 4)))
(* -2 (- (* 1/16 (pow (PI) 4)) (pow (acos (- 1 x)) 4)))
(* -2 (- (* 1/16 (pow (PI) 4)) (pow (acos (- 1 x)) 4)))
(acos (- 1 x))
(acos (- 1 x))
(acos (- 1 x))
(acos (- 1 x))
(- (acos (- 1 x)) (* 1/2 (PI)))
(- (acos (- 1 x)) (* 1/2 (PI)))
(- (acos (- 1 x)) (* 1/2 (PI)))
(- (acos (- 1 x)) (* 1/2 (PI)))
(- (* 1/2 (PI)) (acos (- 1 x)))
(- (* 1/2 (PI)) (acos (- 1 x)))
(- (* 1/2 (PI)) (acos (- 1 x)))
(- (* 1/2 (PI)) (acos (- 1 x)))
(* 1/4 (/ (* (PI) (- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (PI))))) (+ (asin (- 1 x)) (* 1/2 (PI)))))
(* 1/4 (/ (* (PI) (- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (PI))))) (+ (asin (- 1 x)) (* 1/2 (PI)))))
(* 1/4 (/ (* (PI) (- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (PI))))) (+ (asin (- 1 x)) (* 1/2 (PI)))))
(* 1/4 (/ (* (PI) (- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (PI))))) (+ (asin (- 1 x)) (* 1/2 (PI)))))
(- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))))
(- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))))
(- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))))
(- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))))
(* 2 (+ (asin (- 1 x)) (* 1/2 (PI))))
(* 2 (+ (asin (- 1 x)) (* 1/2 (PI))))
(* 2 (+ (asin (- 1 x)) (* 1/2 (PI))))
(* 2 (+ (asin (- 1 x)) (* 1/2 (PI))))
0
0
0
0
(pow (asin (- 1 x)) 2)
(pow (asin (- 1 x)) 2)
(pow (asin (- 1 x)) 2)
(pow (asin (- 1 x)) 2)
(pow (asin (- 1 x)) 2)
(pow (asin (- 1 x)) 2)
(pow (asin (- 1 x)) 2)
(pow (asin (- 1 x)) 2)
(pow (asin (- 1 x)) 2)
(pow (asin (- 1 x)) 2)
(pow (asin (- 1 x)) 2)
(pow (asin (- 1 x)) 2)
(+ (* -2 (* (asin (- 1 x)) (- (* 1/16 (pow (PI) 4)) (pow (acos (- 1 x)) 4)))) (* (PI) (* (asin (- 1 x)) (* (+ (acos (- 1 x)) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))))
(+ (* -2 (* (asin (- 1 x)) (- (* 1/16 (pow (PI) 4)) (pow (acos (- 1 x)) 4)))) (* (PI) (* (asin (- 1 x)) (* (+ (acos (- 1 x)) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))))
(+ (* -2 (* (asin (- 1 x)) (- (* 1/16 (pow (PI) 4)) (pow (acos (- 1 x)) 4)))) (* (PI) (* (asin (- 1 x)) (* (+ (acos (- 1 x)) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))))
(+ (* -2 (* (asin (- 1 x)) (- (* 1/16 (pow (PI) 4)) (pow (acos (- 1 x)) 4)))) (* (PI) (* (asin (- 1 x)) (* (+ (acos (- 1 x)) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))))
(* 1/2 (/ (+ (* -2 (* (asin (- 1 x)) (- (* 1/16 (pow (PI) 4)) (pow (acos (- 1 x)) 4)))) (* (PI) (* (asin (- 1 x)) (* (+ (acos (- 1 x)) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2)))))) (* (asin (- 1 x)) (* (+ (acos (- 1 x)) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))))
(* 1/2 (/ (+ (* -2 (* (asin (- 1 x)) (- (* 1/16 (pow (PI) 4)) (pow (acos (- 1 x)) 4)))) (* (PI) (* (asin (- 1 x)) (* (+ (acos (- 1 x)) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2)))))) (* (asin (- 1 x)) (* (+ (acos (- 1 x)) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))))
(* 1/2 (/ (+ (* -2 (* (asin (- 1 x)) (- (* 1/16 (pow (PI) 4)) (pow (acos (- 1 x)) 4)))) (* (PI) (* (asin (- 1 x)) (* (+ (acos (- 1 x)) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2)))))) (* (asin (- 1 x)) (* (+ (acos (- 1 x)) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))))
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(/ (+ (* -2 (* (asin (- 1 x)) (- (* 1/16 (pow (PI) 4)) (pow (acos (- 1 x)) 4)))) (* (PI) (* (asin (- 1 x)) (* (+ (acos (- 1 x)) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2)))))) (* (asin (- 1 x)) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))
(/ (+ (* -2 (* (asin (- 1 x)) (- (* 1/16 (pow (PI) 4)) (pow (acos (- 1 x)) 4)))) (* (PI) (* (asin (- 1 x)) (* (+ (acos (- 1 x)) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2)))))) (* (asin (- 1 x)) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))
(/ (+ (* -2 (* (asin (- 1 x)) (- (* 1/16 (pow (PI) 4)) (pow (acos (- 1 x)) 4)))) (* (PI) (* (asin (- 1 x)) (* (+ (acos (- 1 x)) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2)))))) (* (asin (- 1 x)) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))
(/ (+ (* -2 (* (asin (- 1 x)) (- (* 1/16 (pow (PI) 4)) (pow (acos (- 1 x)) 4)))) (* (PI) (* (asin (- 1 x)) (* (+ (acos (- 1 x)) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2)))))) (* (asin (- 1 x)) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))
(acos (- 1 x))
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(pow (asin (- 1 x)) 3)
(* 1/2 (/ (* (PI) (+ (* -2 (/ (pow (asin (- 1 x)) 3) (PI))) (pow (asin (- 1 x)) 2))) (pow (asin (- 1 x)) 2)))
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(* 2 (+ (acos (- 1 x)) (* 1/2 (PI))))
(* 2 (+ (acos (- 1 x)) (* 1/2 (PI))))
(* 2 (+ (acos (- 1 x)) (* 1/2 (PI))))
(* 2 (+ (acos (- 1 x)) (* 1/2 (PI))))
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(* -2 (- (* 1/16 (pow (PI) 4)) (pow (acos (- 1 x)) 4)))
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(- (* 1/2 (PI)) (acos (- 1 x)))
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(.f64 (.f64 (/.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))))) (.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) #s(literal 1/2 binary64))
(* 1/2 (/ (+ (* -2 (* (asin (+ 1 (* -1 x))) (- (* 1/16 (pow (PI) 4)) (pow (acos (+ 1 (* -1 x))) 4)))) (* (PI) (* (asin (+ 1 (* -1 x))) (* (+ (acos (+ 1 (* -1 x))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (+ 1 (* -1 x))) 2)))))) (* (asin (+ 1 (* -1 x))) (* (+ (acos (+ 1 (* -1 x))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (+ 1 (* -1 x))) 2))))))
(.f64 (.f64 (/.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))))) (.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) #s(literal 1/2 binary64))
(* 1/2 (/ (+ (* -2 (* (asin (+ 1 (* -1 x))) (- (* 1/16 (pow (PI) 4)) (pow (acos (+ 1 (* -1 x))) 4)))) (* (PI) (* (asin (+ 1 (* -1 x))) (* (+ (acos (+ 1 (* -1 x))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (+ 1 (* -1 x))) 2)))))) (* (asin (+ 1 (* -1 x))) (* (+ (acos (+ 1 (* -1 x))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (+ 1 (* -1 x))) 2))))))
(.f64 (.f64 (/.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))))) (.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) #s(literal 1/2 binary64))
(/ (+ (* -2 (* (asin (+ 1 (* -1 x))) (- (* 1/16 (pow (PI) 4)) (pow (acos (+ 1 (* -1 x))) 4)))) (* (PI) (* (asin (+ 1 (* -1 x))) (* (+ (acos (+ 1 (* -1 x))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (+ 1 (* -1 x))) 2)))))) (* (asin (+ 1 (* -1 x))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (+ 1 (* -1 x))) 2))))
(/.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/ (+ (* -2 (* (asin (+ 1 (* -1 x))) (- (* 1/16 (pow (PI) 4)) (pow (acos (+ 1 (* -1 x))) 4)))) (* (PI) (* (asin (+ 1 (* -1 x))) (* (+ (acos (+ 1 (* -1 x))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (+ 1 (* -1 x))) 2)))))) (* (asin (+ 1 (* -1 x))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (+ 1 (* -1 x))) 2))))
(/.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/ (+ (* -2 (* (asin (+ 1 (* -1 x))) (- (* 1/16 (pow (PI) 4)) (pow (acos (+ 1 (* -1 x))) 4)))) (* (PI) (* (asin (+ 1 (* -1 x))) (* (+ (acos (+ 1 (* -1 x))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (+ 1 (* -1 x))) 2)))))) (* (asin (+ 1 (* -1 x))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (+ 1 (* -1 x))) 2))))
(/.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/ (+ (* -2 (* (asin (+ 1 (* -1 x))) (- (* 1/16 (pow (PI) 4)) (pow (acos (+ 1 (* -1 x))) 4)))) (* (PI) (* (asin (+ 1 (* -1 x))) (* (+ (acos (+ 1 (* -1 x))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (+ 1 (* -1 x))) 2)))))) (* (asin (+ 1 (* -1 x))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (+ 1 (* -1 x))) 2))))
(/.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos (+ 1 (* -1 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos (+ 1 (* -1 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos (+ 1 (* -1 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos (+ 1 (* -1 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(asin (+ 1 (* -1 x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(asin (+ 1 (* -1 x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(asin (+ 1 (* -1 x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(asin (+ 1 (* -1 x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(- (* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) (PI))))
(fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) (neg.f64 (PI.f64))) (/.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) (PI.f64)) (PI.f64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)))
(- (* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) (PI))))
(fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) (neg.f64 (PI.f64))) (/.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) (PI.f64)) (PI.f64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)))
(- (* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) (PI))))
(fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) (neg.f64 (PI.f64))) (/.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) (PI.f64)) (PI.f64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)))
(- (* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) (PI))))
(fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) (neg.f64 (PI.f64))) (/.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) (PI.f64)) (PI.f64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)))
(+ (* -2 (/ (pow (asin (+ 1 (* -1 x))) 3) (PI))) (pow (asin (+ 1 (* -1 x))) 2))
(fma.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (PI.f64)) #s(literal -2 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(+ (* -2 (/ (pow (asin (+ 1 (* -1 x))) 3) (PI))) (pow (asin (+ 1 (* -1 x))) 2))
(fma.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (PI.f64)) #s(literal -2 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(+ (* -2 (/ (pow (asin (+ 1 (* -1 x))) 3) (PI))) (pow (asin (+ 1 (* -1 x))) 2))
(fma.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (PI.f64)) #s(literal -2 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(+ (* -2 (/ (pow (asin (+ 1 (* -1 x))) 3) (PI))) (pow (asin (+ 1 (* -1 x))) 2))
(fma.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (PI.f64)) #s(literal -2 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(pow (asin (+ 1 (* -1 x))) 3)
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(pow (asin (+ 1 (* -1 x))) 3)
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(pow (asin (+ 1 (* -1 x))) 3)
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(pow (asin (+ 1 (* -1 x))) 3)
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(* 1/2 (/ (* (PI) (+ (* -2 (/ (pow (asin (+ 1 (* -1 x))) 3) (PI))) (pow (asin (+ 1 (* -1 x))) 2))) (pow (asin (+ 1 (* -1 x))) 2)))
(.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal -2 binary64) (.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(* 1/2 (/ (* (PI) (+ (* -2 (/ (pow (asin (+ 1 (* -1 x))) 3) (PI))) (pow (asin (+ 1 (* -1 x))) 2))) (pow (asin (+ 1 (* -1 x))) 2)))
(.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal -2 binary64) (.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(* 1/2 (/ (* (PI) (+ (* -2 (/ (pow (asin (+ 1 (* -1 x))) 3) (PI))) (pow (asin (+ 1 (* -1 x))) 2))) (pow (asin (+ 1 (* -1 x))) 2)))
(.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal -2 binary64) (.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(* 1/2 (/ (* (PI) (+ (* -2 (/ (pow (asin (+ 1 (* -1 x))) 3) (PI))) (pow (asin (+ 1 (* -1 x))) 2))) (pow (asin (+ 1 (* -1 x))) 2)))
(.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal -2 binary64) (.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal 1/2 binary64))

rewrite210.0ms (2.3%)

Memory

26.2MiB live, 106.7MiB allocated

Rules

5 190×	`lower-fma.f32`
5 170×	`lower-fma.f64`
3 776×	`lower-*.f32`
3 724×	`lower-*.f64`
1 774×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	601
0	138	554
1	621	424
2	5363	422
0	8268	412

Stop Event

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

Counts

28 → 1 106

Calls

Call 1

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

Outputs
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(.f64 (-.f64 (pow.f64 (.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (PI.f64)) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (fma.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (PI.f64) (.f64 #s(literal 2 binary64) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))) #s(literal -1 binary64)))
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(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 4 binary64))
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(exp.f64 (.f64 (.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal 4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)))
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eval721.0ms (8.1%)

Memory: 31.2MiB live, 565.4MiB allocated
Compiler: Compiled 266 146 to 13 557 computations (94.9% saved)

prune195.0ms (2.2%)

Memory

5.5MiB live, 243.8MiB allocated

Pruning

62 alts after pruning (57 fresh and 5 done)

	Pruned	Kept	Total
New	4 017	18	4 035
Fresh	9	39	48
Picked	5	0	5
Done	0	5	5
Total	4 031	62	4 093

Accuracy

11.0%

Counts

4 093 → 62

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.4%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	5.0%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
✓	5.0%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	5.0%	(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.4%	(fma.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	5.0%	(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.4%	(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	7.0%	(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 #s(approx (- 1 x) (neg.f64 x)))))
	6.8%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
	10.4%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.4%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
✓	6.7%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.4%	(/.f64 (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 #s(literal -2 binary64) (PI.f64)) (-.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	7.4%	(/.f64 (fma.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (cbrt.f64 (PI.f64))) (.f64 #s(literal -1 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 2 binary64) (PI.f64))))
	10.4%	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 2 binary64) (PI.f64))))
	10.4%	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (PI.f64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 2 binary64) (PI.f64))))
	10.4%	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (PI.f64)) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 2 binary64) (PI.f64))))
	10.4%	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))) (*.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (PI.f64))))
	10.4%	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 2 binary64) (PI.f64))))
	4.9%	(/.f64 (fma.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)) (fma.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	5.0%	(/.f64 (fma.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (PI.f64) (.f64 #s(literal -2 binary64) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.4%	(/.f64 (fma.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (fma.f64 #s(literal 2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)))
	10.4%	(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 #s(literal -2 binary64) (PI.f64)) (-.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	3.1%	(/.f64 (/.f64 (fma.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (PI.f64) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (.f64 (-.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (PI.f64))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.4%	(/.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.4%	(/.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 8 binary64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.4%	(/.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	8.3%	(/.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))))) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.4%	(/.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.4%	(/.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.4%	(/.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)))
	3.1%	(/.f64 (/.f64 (/.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) (PI.f64))) (.f64 (fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) (neg.f64 (PI.f64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 (sqrt.f64 (PI.f64)) (.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (sqrt.f64 (PI.f64))))) (.f64 (sqrt.f64 (PI.f64)) (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (PI.f64) (PI.f64))))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (PI.f64)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	5.7%	(/.f64 (/.f64 (-.f64 (.f64 (fma.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (PI.f64) (PI.f64))) (sqrt.f64 (PI.f64))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 (-.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (PI.f64)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
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	3.1%	(/.f64 (/.f64 (-.f64 (.f64 (/.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (PI.f64) (PI.f64)))) (sqrt.f64 (PI.f64))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 (-.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (PI.f64)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
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	3.1%	(/.f64 (/.f64 (-.f64 (.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (.f64 (/.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (PI.f64) (PI.f64))))) (/.f64 (.f64 (-.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (PI.f64)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	3.1%	(/.f64 (/.f64 (-.f64 (.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 (-.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (PI.f64)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	3.1%	(/.f64 (/.f64 (-.f64 (.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 (-.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (PI.f64)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	3.1%	(/.f64 (/.f64 (-.f64 (.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 (-.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (PI.f64)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	6.7%	(/.f64 (/.f64 (-.f64 (.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 (-.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))))) (.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))) (sqrt.f64 (PI.f64)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	3.1%	(/.f64 (/.f64 #s(approx (- (* (- (* (PI) (PI)) (pow (* 2 (asin (- 1 x))) 2)) (sqrt (PI))) (* (- (PI) (* 2 (asin (- 1 x)))) (/ (* (- (* (+ (* (PI) 1/2) (asin (- 1 x))) (PI)) (* (+ (* 2 (asin (- 1 x))) (PI)) (acos (- 1 x)))) 2) (sqrt (PI))))) (fma.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) (neg.f64 (PI.f64))) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) (PI.f64))) (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) (PI.f64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (PI.f64) (PI.f64))) (sqrt.f64 (PI.f64))))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (PI.f64)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	5.0%	(/.f64 (-.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (.f64 (/.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	3.1%	(/.f64 (-.f64 (/.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	3.1%	(/.f64 (-.f64 (/.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	4.9%	(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.4%	(/.f64 (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.4%	(/.f64 (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.4%	(/.f64 (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	4.9%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 2 binary64) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	5.0%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	5.0%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	5.0%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.4%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	3.1%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (PI.f64) (/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (PI.f64) #s(literal 1/2 binary64))))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	3.1%	(/.f64 #s(approx (/ (- (* (- (* (PI) (PI)) (pow (* 2 (asin (- 1 x))) 2)) (sqrt (PI))) (* (- (PI) (* 2 (asin (- 1 x)))) (/ (* (- (* (+ (* (PI) 1/2) (asin (- 1 x))) (PI)) (* (+ (* 2 (asin (- 1 x))) (PI)) (acos (- 1 x)))) 2) (sqrt (PI))))) (* (- (PI) (* 2 (asin (- 1 x)))) (sqrt (PI)))) (.f64 (fma.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) (PI.f64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (PI.f64) (PI.f64))) (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) (PI.f64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	4.9%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))
	10.4%	(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) #s(literal -1 binary64)))
✓	6.8%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
✓	7.0%	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
✓	3.8%	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
	6.8%	#s(approx (/ (- (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (PI)) (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (* (/ 2 (PI)) (* 2 (+ (* 1/2 (PI)) (asin (- 1 x)))))) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (PI.f64)))

Compiler

Compiled 9 160 to 2 072 computations (77.4% saved)

regimes75.0ms (0.8%)

Memory

-14.0MiB live, 103.6MiB allocated

Counts

109 → 1

Calls

Call 1

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

Outputs

(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 2 binary64) (PI.f64))))

Calls

3 calls:

47.0ms	x
11.0ms	(-.f64 #s(literal 1 binary64) x)
6.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
10.4%	1	`x`
10.4%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
10.4%	1	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes51.0ms (0.6%)

Memory

-4.4MiB live, 73.5MiB allocated

Counts

76 → 1

Calls

Call 1

Inputs
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 #s(approx (- 1 x) (neg.f64 x)))))
#s(approx (/ (- (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (PI)) (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (* (/ 2 (PI)) (* 2 (+ (* 1/2 (PI)) (asin (- 1 x)))))) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (PI.f64)))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (* (PI) (+ (* 1/2 (PI)) (acos (- 1 x)))) (* 2 (- (* 1/4 (* (PI) (PI))) (pow (acos (- 1 x)) 2)))) (* 2 (+ (* 1/2 (PI)) (acos (- 1 x))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (/.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (fma.f64 #s(literal 2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (PI.f64) (fma.f64 #s(literal 2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) (neg.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(fma.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (fma.f64 #s(literal 2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)))
(/.f64 (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)))
(/.f64 (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (.f64 (/.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
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(/.f64 (/.f64 (fma.f64 (neg.f64 (.f64 (-.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (PI.f64) (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (.f64 (PI.f64) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (/.f64 (fma.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (PI.f64) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (.f64 (-.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (PI.f64))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (/.f64 (-.f64 (.f64 (fma.f64 (PI.f64) (PI.f64) (.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (sqrt.f64 (PI.f64))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 (-.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (PI.f64)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (PI.f64)) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 2 binary64) (PI.f64))))
(/.f64 (/.f64 (-.f64 (.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 (-.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (PI.f64)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))) (*.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (PI.f64))))
(/.f64 (/.f64 (-.f64 (.f64 (fma.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (PI.f64) (PI.f64))) (sqrt.f64 (PI.f64))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 (-.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (PI.f64)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (+.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (+.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 #s(literal -2 binary64) (PI.f64)) (-.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 2 binary64) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (.f64 (PI.f64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))) (.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))))
(/.f64 (fma.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (cbrt.f64 (PI.f64))) (.f64 #s(literal -1 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 2 binary64) (PI.f64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))))

Outputs

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

Calls

3 calls:

32.0ms	x
8.0ms	(-.f64 #s(literal 1 binary64) x)
5.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
10.4%	1	`x`
10.4%	1	`(-.f64 #s(literal 1 binary64) x)`
10.4%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes26.0ms (0.3%)

Memory

-5.4MiB live, 37.6MiB allocated

Counts

36 → 1

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	x
4.0ms	(-.f64 #s(literal 1 binary64) x)
3.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
10.4%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
10.4%	1	`x`
10.4%	1	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes12.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	x
2.0ms	(-.f64 #s(literal 1 binary64) x)
2.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
10.4%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
10.4%	1	`x`
10.4%	1	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes19.0ms (0.2%)

Memory

-13.4MiB live, 26.3MiB allocated

Counts

11 → 2

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	x
4.0ms	(-.f64 #s(literal 1 binary64) x)
3.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
9.4%	2	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
9.4%	2	`(-.f64 #s(literal 1 binary64) x)`
9.4%	2	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes18.0ms (0.2%)

Memory

-14.7MiB live, 25.0MiB allocated

Counts

10 → 2

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	x
4.0ms	(-.f64 #s(literal 1 binary64) x)
3.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
9.4%	2	`x`
9.4%	2	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
9.4%	2	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes16.0ms (0.2%)

Memory

22.1MiB live, 22.1MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

(acos.f64 #s(approx (- 1 x) (neg.f64 x)))

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

Calls

3 calls:

9.0ms	x
3.0ms	(-.f64 #s(literal 1 binary64) x)
3.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
9.4%	2	`x`
9.4%	2	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
9.4%	2	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes15.0ms (0.2%)

Memory

-19.2MiB live, 20.6MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	x
3.0ms	(-.f64 #s(literal 1 binary64) x)
3.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
9.4%	2	`x`
9.4%	2	`(-.f64 #s(literal 1 binary64) x)`
9.4%	2	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes13.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))

Outputs
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))

Calls

3 calls:

6.0ms	x
3.0ms	(-.f64 #s(literal 1 binary64) x)
3.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
9.4%	2	`x`
9.4%	2	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
9.4%	2	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes6.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))

Outputs
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))

Calls

3 calls:

3.0ms	x
2.0ms	(-.f64 #s(literal 1 binary64) x)
2.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
7.0%	1	`x`
7.0%	1	`(-.f64 #s(literal 1 binary64) x)`
7.0%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes6.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))

Outputs
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))

Calls

3 calls:

2.0ms	x
2.0ms	(-.f64 #s(literal 1 binary64) x)
1.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
3.8%	1	`(-.f64 #s(literal 1 binary64) x)`
3.8%	1	`x`
3.8%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 8 to 8 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999999999999	1.0

Compiler

Compiled 7 to 8 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999999999999	1.0

Compiler

Compiled 7 to 8 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.4901161193847656e-8

Compiler

Compiled 7 to 8 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.4901161193847656e-8

Compiler

Compiled 7 to 8 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.4901161193847656e-8

Compiler

Compiled 7 to 8 computations (-14.3% saved)

simplify35.0ms (0.4%)

Memory

-48.3MiB live, 19.3MiB allocated

Algorithm

1×	egg-herbie

Rules

56×	`-commutative-binary64-.f64`
38×	`+-commutative-binary64-+.f64`
34×	`sub-neg-binary64-neg.f64-+.f64--.f64`
30×	`neg-mul-1-binary64-*.f64-neg.f64`
28×	`neg-sub0-binary64--.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	329
1	133	329
2	170	329
3	195	329
4	210	329
5	216	329

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 2 binary64) (PI.f64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 9007199254740991/9007199254740992 binary64)) (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (acos.f64 #s(approx (- 1 x) (neg.f64 x))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 9007199254740991/9007199254740992 binary64)) (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (acos.f64 #s(approx (- 1 x) (neg.f64 x))))
(if (<=.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (acos.f64 #s(approx (- 1 x) (neg.f64 x))) #s(approx (/ (- (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (PI)) (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (* (/ 2 (PI)) (* 2 (+ (* 1/2 (PI)) (asin (- 1 x)))))) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (PI.f64))))
(if (<=.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (acos.f64 #s(approx (- 1 x) (neg.f64 x))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (acos.f64 #s(approx (- 1 x) (neg.f64 x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))

Outputs
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 2 binary64) (PI.f64))))
(/.f64 (fma.f64 (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (.f64 (+.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (PI.f64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 (sqrt.f64 (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (PI.f64)) (.f64 (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)))) (/.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (PI.f64))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 9007199254740991/9007199254740992 binary64)) (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (acos.f64 #s(approx (- 1 x) (neg.f64 x))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 9007199254740991/9007199254740992 binary64)) (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (acos.f64 #s(approx (- 1 x) (neg.f64 x))))
(if (<=.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (acos.f64 #s(approx (- 1 x) (neg.f64 x))) #s(approx (/ (- (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (PI)) (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (* (/ 2 (PI)) (* 2 (+ (* 1/2 (PI)) (asin (- 1 x)))))) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (PI.f64))))
(if (<=.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (acos.f64 #s(approx (- 1 x) (neg.f64 x))) #s(approx (/ (- (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (PI)) (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (* (/ 2 (PI)) (* 2 (+ (* 1/2 (PI)) (asin (- 1 x)))))) (.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (PI.f64)) #s(literal 2 binary64))) (PI.f64))))
(if (<=.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (acos.f64 #s(approx (- 1 x) (neg.f64 x))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (acos.f64 #s(approx (- 1 x) (neg.f64 x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))

soundness821.0ms (9.2%)

Memory

21.2MiB live, 21.2MiB allocated

Rules

14 854×	`lower-fma.f64`
14 854×	`lower-fma.f32`
6 504×	`lower-fma.f32`
6 482×	`lower-fma.f64`
5 956×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	601
0	138	554
1	621	424
2	5363	422
0	8268	412
0	14	80
1	29	80
2	62	80
3	113	80
4	171	80
5	239	80
6	259	80
0	259	80
0	67	3388
1	250	3064
2	520	2836
3	1474	2416
4	5535	2284
0	8362	2104
0	4	7
0	6	7
1	28	7
2	171	7
3	1385	7
0	9386	7
0	60	490
0	119	478
1	509	419
2	3895	415
0	9587	400
0	39	321
0	72	321
1	301	242
2	2800	209
0	8651	201

Stop Event

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

Compiler

Compiled 599 to 282 computations (52.9% saved)

preprocess121.0ms (1.4%)

Memory: -16.3MiB live, 61.5MiB allocated
Compiler: Compiled 522 to 160 computations (69.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	6	11
1	15	9
2	27	9
3	49	9
4	67	9
5	89	9
6	102	9
0	4	4
0	6	4
1	10	4
2	14	4
3	19	4
4	26	4
5	34	4
6	44	4
7	55	4
8	58	4
0	58	4

Iter	Nodes	Cost
0	6	11
1	15	9
2	27	9
3	49	9
4	67	9
5	89	9
6	102	9
0	4	4
0	6	4
1	10	4
2	14	4
3	19	4
4	26	4
5	34	4
6	44	4
7	55	4
8	58	4
0	58	4

start0.0ms (0%)

analyze0.0ms (0%)

sample1.8s (20.3%)

explain90.0ms (1%)

preprocess14.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0%)

localize61.0ms (0.7%)

series1.0ms (0%)

simplify7.0ms (0.1%)

rewrite172.0ms (1.9%)

eval61.0ms (0.7%)

prune22.0ms (0.2%)

simplify166.0ms (1.9%)

localize338.0ms (3.8%)

series39.0ms (0.4%)

simplify150.0ms (1.7%)

rewrite351.0ms (3.9%)

eval577.0ms (6.4%)

prune147.0ms (1.6%)

simplify147.0ms (1.6%)

localize350.0ms (3.9%)

series65.0ms (0.7%)

simplify154.0ms (1.7%)

rewrite241.0ms (2.7%)

eval549.0ms (6.1%)

prune172.0ms (1.9%)

simplify144.0ms (1.6%)

localize395.0ms (4.4%)

series38.0ms (0.4%)

simplify323.0ms (3.6%)

rewrite210.0ms (2.3%)

eval721.0ms (8.1%)

prune195.0ms (2.2%)

regimes75.0ms (0.8%)

regimes51.0ms (0.6%)

regimes26.0ms (0.3%)

regimes12.0ms (0.1%)

regimes19.0ms (0.2%)

regimes18.0ms (0.2%)

regimes16.0ms (0.2%)

regimes15.0ms (0.2%)

regimes13.0ms (0.1%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify35.0ms (0.4%)

soundness821.0ms (9.2%)

preprocess121.0ms (1.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	11
1	15	9
2	27	9
3	49	9
4	67	9
5	89	9
6	102	9
0	4	4
0	6	4
1	10	4
2	14	4
3	19	4
4	26	4
5	34	4
6	44	4
7	55	4
8	58	4
0	58	4