Metrics for bug323 (missed optimization)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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)

sample1.3s (12.8%)

Memory

9.3MiB live, 1 158.8MiB allocated

Samples

1.0s	7 950×	1	valid
17.0ms	306×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 792.0ms

ival-acos: 485.0ms (61.2% of total)

adjust: 119.0ms (15% of total)

ival-sub: 110.0ms (13.9% of total)

ival-<=: 50.0ms (6.3% of total)

exact: 13.0ms (1.6% of total)

ival-and: 11.0ms (1.4% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain85.0ms (0.8%)

Memory

-21.9MiB live, 104.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
255	1	(0.0044171663700560745)	-	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
0	0	-	-	`(-.f64 #s(literal 1 binary64) x)`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`acos.f64`	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`	sensitivity	256	0

Confusion

	Predicted +	Predicted -
+	255	0
-	1	0

Precision

0.99609375

Recall

1.0

Confusion?

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

Precision?

0.99609375

Recall?

1.0

Freqs

test

number	freq
1	256

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

48.0ms	498×	1	valid
1.0ms	14×	0	valid

Compiler

Compiled 26 to 16 computations (38.5% saved)

Precisions

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

ival-acos: 20.0ms (59.9% of total)

ival-sub: 6.0ms (18% of total)

adjust: 6.0ms (18% of total)

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

exact: 0.0ms (0% of total)

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

preprocess13.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB 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)

prune1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.2%	(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

localize28.0ms (0.3%)

Memory

7.9MiB live, 7.9MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	60.00969925692055	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Samples

22.0ms	249×	1	valid
0.0ms	7×	0	valid

Compiler

Compiled 11 to 6 computations (45.5% saved)

Precisions

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

ival-acos: 9.0ms (59.2% of total)

ival-sub: 3.0ms (19.7% of total)

adjust: 3.0ms (19.7% 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

0.5MiB live, 0.5MiB 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

1.3MiB live, 1.3MiB 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)

rewrite147.0ms (1.4%)

Memory

-19.6MiB live, 94.9MiB 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 (0.6%)

Memory: 22.3MiB live, 62.8MiB allocated
Compiler: Compiled 11 168 to 1 327 computations (88.1% saved)

prune88.0ms (0.9%)

Memory

-11.3MiB live, 66.0MiB allocated

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	348	15	363
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	348	16	364

Accuracy

8.8%

Counts

364 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.4%	(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))))
	4.4%	(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))))
	6.2%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
▶	6.2%	(/.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)))))
	6.2%	(/.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)))))))
	6.2%	(/.f64 (-.f64 (.f64 (PI.f64) (.f64 (/.f64 #s(literal 2 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) (-.f64 (.f64 #s(literal 1 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 (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 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	6.2%	(/.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))))))
	6.2%	(/.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)))))
	6.2%	(/.f64 (-.f64 (.f64 #s(literal 1 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 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.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 (/.f64 #s(literal 2 binary64) (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)))))))
	6.2%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (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 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.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))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
▶	6.2%	(/.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))))))
▶	6.2%	(/.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)))))
	6.2%	(.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)))
✓	6.2%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
▶	6.8%	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
▶	3.9%	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))

Compiler

Compiled 1 006 to 460 computations (54.3% saved)

simplify110.0ms (1.1%)

Memory

-8.3MiB live, 82.8MiB 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))

localize181.0ms (1.8%)

Memory

-9.2MiB live, 147.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.40234375	(*.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	1.4559234901616627	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	57.779037373286975	(-.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	60.00969925692055	(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	0.40234375	(/.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	0.50390625	(pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
accuracy	57.76572475719121	(-.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	60.00969925692055	(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	0.40234375	(*.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	1.4559234901616627	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	60.00969925692055	(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	0.9853894841621783	#s(approx (- 1 x) #s(literal 1 binary64))
accuracy	60.00969925692055	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
accuracy	0	(neg.f64 x)
accuracy	60.00969925692055	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
accuracy	62.53184857273927	#s(approx (- 1 x) (neg.f64 x))

Samples

133.0ms	236×	1	valid
5.0ms	20×	0	valid

Compiler

Compiled 502 to 37 computations (92.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 104.0ms

ival-mult: 32.0ms (30.8% of total)

ival-acos: 14.0ms (13.5% of total)

adjust: 13.0ms (12.5% of total)

ival-div: 12.0ms (11.6% of total)

ival-sub: 12.0ms (11.6% of total)

ival-asin: 8.0ms (7.7% of total)

ival-pow2: 4.0ms (3.9% of total)

ival-add: 4.0ms (3.9% of total)

ival-pi: 2.0ms (1.9% of total)

ival-neg: 1.0ms (1% of total)

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

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

exact: 0.0ms (0% of total)

series40.0ms (0.4%)

Memory

16.9MiB live, 54.1MiB 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

14.0ms

-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))))))))

simplify162.0ms (1.6%)

Memory

-4.7MiB live, 117.7MiB 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)))
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(/ 1 (acos (- 1 x)))
(acos (- 1 x))
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(+ (asin (- 1 x)) (* 1/2 (PI)))
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(+ (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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(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)))))
(* 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)))))
(* 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))))
(* 2 (+ (acos (+ 1 (* -1 x))) (* 1/2 (PI))))
(* 2 (+ (acos (+ 1 (* -1 x))) (* 1/2 (PI))))
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(- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
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(* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))
(* 2 (+ (asin (+ 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))

rewrite327.0ms (3.2%)

Memory

-3.1MiB live, 152.2MiB 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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(-.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)))))))

eval722.0ms (7.1%)

Memory: 67.8MiB live, 585.5MiB allocated
Compiler: Compiled 199 080 to 10 925 computations (94.5% saved)

prune421.0ms (4.1%)

Memory

-21.7MiB live, 760.5MiB allocated

Pruning

44 alts after pruning (41 fresh and 3 done)

	Pruned	Kept	Total
New	3 460	38	3 498
Fresh	7	3	10
Picked	3	2	5
Done	0	1	1
Total	3 470	44	3 514

Accuracy

9.8%

Counts

3 514 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.2%	(fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	6.2%	(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))))
	4.4%	(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))))
▶	9.6%	(fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	9.6%	(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))))
	4.4%	(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%	(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)))))
▶	6.2%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	4.4%	(/.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)))))
	9.6%	(/.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))))))
	4.4%	(/.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)))))
	2.5%	(/.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))) (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))))))
	9.6%	(/.f64 (/.f64 (fma.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))) #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 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.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 (/.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 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.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 (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))))))
▶	9.6%	(/.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)))))
	2.5%	(/.f64 (/.f64 (fma.f64 (.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 2 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 2 binary64)))) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (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))) (-.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 (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))) (-.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))))))
	9.6%	(/.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)))))
	2.5%	(/.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 (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)))) (.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 2 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 2 binary64)))))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.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))))) (.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))))))
	2.5%	(/.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 (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 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (/.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 #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))))))
	2.5%	(/.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))))))
	4.4%	(/.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)))))
▶	4.4%	(/.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)))))
	9.5%	(/.f64 (-.f64 (.f64 (.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 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)))))
	9.6%	(/.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)))))
	9.5%	(/.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)))))
	9.6%	(/.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)))))
	4.4%	(/.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 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 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)))))
	6.2%	(/.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))))))
	6.2%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (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))))))
	4.4%	(/.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) (.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))))))
	9.6%	(/.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))))))
	9.6%	(/.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))))))
	2.4%	(/.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 (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))))))
▶	2.4%	(/.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 (PI.f64) (-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (acos.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))))))
	2.4%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (asin.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))))) (.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))))))
	2.4%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (acos.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))))))
	4.4%	(/.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))))))
	4.4%	(/.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)))))))
	6.2%	(-.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)))
	6.2%	(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
✓	6.2%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
✓	6.8%	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
✓	3.9%	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
	6.2%	#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))))))
	6.2%	#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 4 417 to 1 786 computations (59.6% saved)

simplify167.0ms (1.6%)

Memory

-16.5MiB live, 124.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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	1408	(/.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 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (acos.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	6336	(.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (PI.f64) (-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (acos.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	6784	(-.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 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (acos.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	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 (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)))))
cost-diff	7104	(/.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)))))
cost-diff	19584	(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))
cost-diff	0	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
cost-diff	320	(*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
cost-diff	384	(/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 4 binary64) (PI.f64)))
cost-diff	15680	(fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
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 (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)))))
cost-diff	0	(/.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)))))
cost-diff	128	(-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) #s(literal 1/2 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))))

Rules

15 806×	`lower-fma.f32`
15 788×	`lower-fma.f64`
5 072×	`lower-*.f32`
5 030×	`lower-*.f64`
3 312×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	1117
0	137	1072
1	313	1059
2	968	1024
3	4430	1014
0	8309	985

Stop Event

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

Calls

Call 1

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

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

localize399.0ms (3.9%)

Memory

-2.1MiB live, 153.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.4559234901616627	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	57.779037373286975	(-.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 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (acos.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	58.15454042432893	(-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
accuracy	60.00969925692055	(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	57.76572475719121	(-.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)))))
accuracy	60.00969925692055	(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	0.03125	(/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 4 binary64) (PI.f64)))
accuracy	0.0390625	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy	1.4559234901616627	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	56.09320159782233	(fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
accuracy	0	(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy	0	(PI.f64)
accuracy	1.4559234901616627	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	57.75613254788161	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
accuracy	1.0	(pow.f64 (PI.f64) #s(literal 3 binary64))
accuracy	1.58496250072115	(pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 4 binary64))
accuracy	58.83307432970097	(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))))))
accuracy	60.00969925692055	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Samples

309.0ms	245×	1	valid
5.0ms	11×	0	valid

Compiler

Compiled 1 171 to 78 computations (93.3% saved)

Precisions

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

ival-mult: 67.0ms (26% of total)

ival-acos: 30.0ms (11.7% of total)

adjust: 30.0ms (11.7% of total)

ival-div: 26.0ms (10.1% of total)

ival-pow: 24.0ms (9.3% of total)

ival-asin: 21.0ms (8.2% of total)

ival-add: 18.0ms (7% of total)

ival-sub: 16.0ms (6.2% of total)

ival-pow2: 14.0ms (5.4% of total)

ival-neg: 4.0ms (1.6% of total)

ival-cbrt: 4.0ms (1.6% of total)

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

exact: 1.0ms (0.4% of total)

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

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

series68.0ms (0.7%)

Memory

-10.5MiB live, 26.3MiB allocated

Counts

26 → 240

Calls

Call 1

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

Outputs
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Calls

3 calls:

Time

Variable

Point

Expression

21.0ms

-inf

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

18.0ms

inf

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

12.0ms

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

simplify183.0ms (1.8%)

Memory

-4.6MiB live, 69.0MiB allocated

Algorithm

1×	egg-herbie

Rules

17 968×	`lower-fma.f64`
17 968×	`lower-fma.f32`
5 340×	`lower-*.f64`
5 340×	`lower-*.f32`
3 976×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	7080
1	445	7080
2	966	6804
3	3316	6492
4	7977	6492
0	8075	6048

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

Inputs
(* 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))))
(- (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 (/ (+ (* -2 (* (+ (* 1/4 (pow (PI) 2)) (* (acos (- 1 x)) (- (acos (- 1 x)) (* 1/2 (PI))))) (- (* 1/16 (pow (PI) 4)) (pow (acos (- 1 x)) 4)))) (* (PI) (* (+ (* 1/8 (pow (PI) 3)) (pow (acos (- 1 x)) 3)) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))) (* (+ (acos (- 1 x)) (* 1/2 (PI))) (* (+ (* 1/4 (pow (PI) 2)) (* (acos (- 1 x)) (- (acos (- 1 x)) (* 1/2 (PI))))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))))
(* 1/2 (/ (+ (* -2 (* (+ (* 1/4 (pow (PI) 2)) (* (acos (- 1 x)) (- (acos (- 1 x)) (* 1/2 (PI))))) (- (* 1/16 (pow (PI) 4)) (pow (acos (- 1 x)) 4)))) (* (PI) (* (+ (* 1/8 (pow (PI) 3)) (pow (acos (- 1 x)) 3)) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))) (* (+ (acos (- 1 x)) (* 1/2 (PI))) (* (+ (* 1/4 (pow (PI) 2)) (* (acos (- 1 x)) (- (acos (- 1 x)) (* 1/2 (PI))))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))))
(* 1/2 (/ (+ (* -2 (* (+ (* 1/4 (pow (PI) 2)) (* (acos (- 1 x)) (- (acos (- 1 x)) (* 1/2 (PI))))) (- (* 1/16 (pow (PI) 4)) (pow (acos (- 1 x)) 4)))) (* (PI) (* (+ (* 1/8 (pow (PI) 3)) (pow (acos (- 1 x)) 3)) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))) (* (+ (acos (- 1 x)) (* 1/2 (PI))) (* (+ (* 1/4 (pow (PI) 2)) (* (acos (- 1 x)) (- (acos (- 1 x)) (* 1/2 (PI))))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))))
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(/ (+ (* -2 (* (+ (* 1/4 (pow (PI) 2)) (* (acos (- 1 x)) (- (acos (- 1 x)) (* 1/2 (PI))))) (- (* 1/16 (pow (PI) 4)) (pow (acos (- 1 x)) 4)))) (* (PI) (* (+ (* 1/8 (pow (PI) 3)) (pow (acos (- 1 x)) 3)) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))) (* (+ (* 1/4 (pow (PI) 2)) (* (acos (- 1 x)) (- (acos (- 1 x)) (* 1/2 (PI))))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))
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(/ (+ (* -2 (* (+ (* 1/4 (pow (PI) 2)) (* (acos (- 1 x)) (- (acos (- 1 x)) (* 1/2 (PI))))) (- (* 1/16 (pow (PI) 4)) (pow (acos (- 1 x)) 4)))) (* (PI) (* (+ (* 1/8 (pow (PI) 3)) (pow (acos (- 1 x)) 3)) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))) (* (+ (* 1/4 (pow (PI) 2)) (* (acos (- 1 x)) (- (acos (- 1 x)) (* 1/2 (PI))))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))
(/ (+ (* -2 (* (+ (* 1/4 (pow (PI) 2)) (* (acos (- 1 x)) (- (acos (- 1 x)) (* 1/2 (PI))))) (- (* 1/16 (pow (PI) 4)) (pow (acos (- 1 x)) 4)))) (* (PI) (* (+ (* 1/8 (pow (PI) 3)) (pow (acos (- 1 x)) 3)) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))) (* (+ (* 1/4 (pow (PI) 2)) (* (acos (- 1 x)) (- (acos (- 1 x)) (* 1/2 (PI))))) (+ (* 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)))
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(asin (- 1 x))
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(- (* 1/2 (PI)) (asin (- 1 x)))
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(- (* 1/2 (PI)) (asin (- 1 x)))
(* 1/4 (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))))
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(* 1/4 (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))))
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(asin (- 1 x))
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(* 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 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (- (* 1/4 (/ (pow (PI) 2) (acos (- 1 x)))) (/ (pow (asin (- 1 x)) 2) (acos (- 1 x))))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (PI))))
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(* 2 (/ (- (* (PI) (- (* 1/4 (/ (pow (PI) 2) (acos (- 1 x)))) (/ (pow (asin (- 1 x)) 2) (acos (- 1 x))))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (PI)))
(* 2 (/ (- (* (PI) (- (* 1/4 (/ (pow (PI) 2) (acos (- 1 x)))) (/ (pow (asin (- 1 x)) 2) (acos (- 1 x))))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (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))))
(acos (- 1 x))
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(- (* 1/4 (/ (pow (PI) 2) (acos (- 1 x)))) (/ (pow (asin (- 1 x)) 2) (acos (- 1 x))))
(- (* 1/4 (/ (pow (PI) 2) (acos (- 1 x)))) (/ (pow (asin (- 1 x)) 2) (acos (- 1 x))))
(- (* 1/4 (/ (pow (PI) 2) (acos (- 1 x)))) (/ (pow (asin (- 1 x)) 2) (acos (- 1 x))))
(- (* 1/4 (/ (pow (PI) 2) (acos (- 1 x)))) (/ (pow (asin (- 1 x)) 2) (acos (- 1 x))))
(* 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))))
(- (acos (- 1 x)) (* 1/2 (PI)))
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(- (acos (- 1 x)) (* 1/2 (PI)))
(- (acos (- 1 x)) (* 1/2 (PI)))
(* 1/2 (/ (+ (* -2 (* (+ (* 1/4 (pow (PI) 2)) (* (acos (- 1 x)) (- (acos (- 1 x)) (* 1/2 (PI))))) (- (* 1/16 (pow (PI) 4)) (pow (acos (- 1 x)) 4)))) (* (PI) (* (+ (* 1/8 (pow (PI) 3)) (pow (acos (- 1 x)) 3)) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))) (* (+ (acos (- 1 x)) (* 1/2 (PI))) (* (+ (* 1/4 (pow (PI) 2)) (* (acos (- 1 x)) (- (acos (- 1 x)) (* 1/2 (PI))))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))))
(* 1/2 (/ (+ (* -2 (* (+ (* 1/4 (pow (PI) 2)) (* (acos (- 1 x)) (- (acos (- 1 x)) (* 1/2 (PI))))) (- (* 1/16 (pow (PI) 4)) (pow (acos (- 1 x)) 4)))) (* (PI) (* (+ (* 1/8 (pow (PI) 3)) (pow (acos (- 1 x)) 3)) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))) (* (+ (acos (- 1 x)) (* 1/2 (PI))) (* (+ (* 1/4 (pow (PI) 2)) (* (acos (- 1 x)) (- (acos (- 1 x)) (* 1/2 (PI))))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))))
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(* 1/4 (/ (* (PI) (- (* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (- (* 1/4 (/ (pow (PI) 2) (acos (+ 1 (* -1 x))))) (/ (pow (asin (+ 1 (* -1 x))) 2) (acos (+ 1 (* -1 x)))))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) (PI))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
(* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))
(* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))
(* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))
(* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))
(acos (+ 1 (* -1 x)))
(acos (+ 1 (* -1 x)))
(acos (+ 1 (* -1 x)))
(acos (+ 1 (* -1 x)))
(+ (* -2 (* (+ (* 1/4 (pow (PI) 2)) (* (acos (+ 1 (* -1 x))) (- (acos (+ 1 (* -1 x))) (* 1/2 (PI))))) (- (* 1/16 (pow (PI) 4)) (pow (acos (+ 1 (* -1 x))) 4)))) (* (PI) (* (+ (* 1/8 (pow (PI) 3)) (pow (acos (+ 1 (* -1 x))) 3)) (+ (* 1/4 (pow (PI) 2)) (pow (acos (+ 1 (* -1 x))) 2)))))
(+ (* -2 (* (+ (* 1/4 (pow (PI) 2)) (* (acos (+ 1 (* -1 x))) (- (acos (+ 1 (* -1 x))) (* 1/2 (PI))))) (- (* 1/16 (pow (PI) 4)) (pow (acos (+ 1 (* -1 x))) 4)))) (* (PI) (* (+ (* 1/8 (pow (PI) 3)) (pow (acos (+ 1 (* -1 x))) 3)) (+ (* 1/4 (pow (PI) 2)) (pow (acos (+ 1 (* -1 x))) 2)))))
(+ (* -2 (* (+ (* 1/4 (pow (PI) 2)) (* (acos (+ 1 (* -1 x))) (- (acos (+ 1 (* -1 x))) (* 1/2 (PI))))) (- (* 1/16 (pow (PI) 4)) (pow (acos (+ 1 (* -1 x))) 4)))) (* (PI) (* (+ (* 1/8 (pow (PI) 3)) (pow (acos (+ 1 (* -1 x))) 3)) (+ (* 1/4 (pow (PI) 2)) (pow (acos (+ 1 (* -1 x))) 2)))))
(+ (* -2 (* (+ (* 1/4 (pow (PI) 2)) (* (acos (+ 1 (* -1 x))) (- (acos (+ 1 (* -1 x))) (* 1/2 (PI))))) (- (* 1/16 (pow (PI) 4)) (pow (acos (+ 1 (* -1 x))) 4)))) (* (PI) (* (+ (* 1/8 (pow (PI) 3)) (pow (acos (+ 1 (* -1 x))) 3)) (+ (* 1/4 (pow (PI) 2)) (pow (acos (+ 1 (* -1 x))) 2)))))
(- (* 1/4 (/ (pow (PI) 2) (acos (+ 1 (* -1 x))))) (/ (pow (asin (+ 1 (* -1 x))) 2) (acos (+ 1 (* -1 x)))))
(- (* 1/4 (/ (pow (PI) 2) (acos (+ 1 (* -1 x))))) (/ (pow (asin (+ 1 (* -1 x))) 2) (acos (+ 1 (* -1 x)))))
(- (* 1/4 (/ (pow (PI) 2) (acos (+ 1 (* -1 x))))) (/ (pow (asin (+ 1 (* -1 x))) 2) (acos (+ 1 (* -1 x)))))
(- (* 1/4 (/ (pow (PI) 2) (acos (+ 1 (* -1 x))))) (/ (pow (asin (+ 1 (* -1 x))) 2) (acos (+ 1 (* -1 x)))))

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

rewrite248.0ms (2.4%)

Memory

0.4MiB live, 120.6MiB allocated

Rules

5 530×	`lower-fma.f32`
5 512×	`lower-fma.f64`
4 648×	`lower-*.f32`
4 606×	`lower-*.f64`
2 388×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	628
0	137	577
1	655	496
2	5673	496
0	8149	482

Stop Event

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

Counts

26 → 1 207

Calls

Call 1

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

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

eval684.0ms (6.7%)

Memory: 62.0MiB live, 545.6MiB allocated
Compiler: Compiled 290 669 to 13 974 computations (95.2% saved)

prune584.0ms (5.7%)

Memory

-46.9MiB live, 547.9MiB allocated

Pruning

63 alts after pruning (59 fresh and 4 done)

	Pruned	Kept	Total
New	4 025	48	4 073
Fresh	25	11	36
Picked	4	1	5
Done	0	3	3
Total	4 054	63	4 117

Accuracy

9.9%

Counts

4 117 → 63

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.2%	(fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	6.2%	(fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (PI.f64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	4.4%	(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	9.5%	(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
▶	2.4%	(fma.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	2.4%	(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (PI.f64) (PI.f64)) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	2.4%	(fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (/.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	9.5%	(fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 4 binary64) (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	4.4%	(fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	2.4%	(fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (/.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 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))))
	2.4%	(fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) (pow.f64 (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 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))))
▶	9.6%	(fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	9.5%	(fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (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))))))
	9.6%	(fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.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))))))
	2.4%	(fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (PI.f64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 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))))
	2.4%	(fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.f64 (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal -2 binary64))) (.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	2.5%	(fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (/.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))))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	2.3%	(fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 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))))
	9.6%	(fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.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))))
	2.4%	(fma.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (PI.f64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	2.3%	(fma.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64))) #s(literal -3 binary64)) (.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))) (fma.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64))) #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	2.5%	(fma.f64 (/.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 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	2.4%	(fma.f64 (/.f64 (/.f64 (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) (PI.f64))) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	9.6%	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	9.6%	(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 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	4.4%	(fma.f64 (.f64 (.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	4.4%	(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))))
	6.8%	(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)))))
▶	6.2%	(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))))
	9.6%	(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))))))
✓	6.2%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	9.6%	(/.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))))))
	2.5%	(/.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))) (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))))))
	4.4%	(/.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #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)))))
	9.5%	(/.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 2 binary64)) #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)))))
	4.4%	(/.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 9/2 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)))))
	9.5%	(/.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #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)))))
	9.6%	(/.f64 (/.f64 (fma.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))) #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 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.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 (/.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 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.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 (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))))))
	9.5%	(/.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 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #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)))))
	9.5%	(/.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 (.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)))))) (.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)))))
	9.6%	(/.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 (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 (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)))))
	7.8%	(/.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 (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (PI.f64) #s(literal 1/2 binary64)))))) (-.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)))))
	9.6%	(/.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) (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	7.9%	(/.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) (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))))
▶	9.6%	(/.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (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)))))
	9.6%	(/.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)))))
	2.5%	(/.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 (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)))) (.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 2 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 2 binary64)))))) (.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) (asin.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))))) (.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))))))
	2.4%	(/.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))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (PI.f64) (-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (acos.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))))))
	2.4%	(/.f64 (-.f64 (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (PI.f64) (-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (acos.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))))))
	4.4%	(/.f64 (-.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 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 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	9.5%	(/.f64 (-.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #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 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	4.4%	(/.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)))))
	9.6%	(/.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)))))
	4.4%	(/.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) (.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))))))
	2.4%	(/.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 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (acos.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))))))
	9.6%	(/.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))))))
	2.4%	(/.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 (PI.f64) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (/.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (acos.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))))))
	2.4%	(/.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 (PI.f64) (fma.f64 (PI.f64) (pow.f64 (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (acos.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))))))
▶	2.3%	(/.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 (.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64))) (acos.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))))))
✓	6.2%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
✓	6.8%	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
✓	3.9%	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
	6.2%	#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 7 199 to 3 038 computations (57.8% saved)

simplify102.0ms (1%)

Memory

-3.0MiB live, 35.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	448	(.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
cost-diff	8192	(/.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 (.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64))) (acos.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	12352	(-.f64 (.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
cost-diff	14720	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (.f64 (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff	320	(*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
cost-diff	384	(/.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
cost-diff	1024	(fma.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
cost-diff	5888	(neg.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
cost-diff	320	(fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
cost-diff	384	(/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 4 binary64) (PI.f64)))
cost-diff	704	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
cost-diff	1600	(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))))
cost-diff	0	(acos.f64 (-.f64 #s(literal 1 binary64) x))
cost-diff	0	(fma.f64 (PI.f64) #s(literal -1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
cost-diff	0	(PI.f64)
cost-diff	768	(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))))
cost-diff	0	(/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (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)))))
cost-diff	0	(/.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (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)))))
cost-diff	128	(-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) #s(literal 1/2 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))))

Rules

6 526×	`lower-*.f32`
6 480×	`lower-*.f64`
6 458×	`lower-fma.f32`
6 430×	`lower-fma.f64`
1 612×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	1365
0	157	1326
1	357	1232
2	1093	1113
3	5833	1110
0	8172	1095

Stop Event

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

Calls

Call 1

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

localize450.0ms (4.4%)

Memory

23.7MiB live, 179.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.4559234901616627	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	56.625277381294595	(-.f64 (.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
accuracy	57.779037373286975	(-.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 (.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64))) (acos.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	60.00969925692055	(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	1.4559234901616627	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	56.09320159782233	(fma.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
accuracy	56.46891865881204	(fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
accuracy	60.00969925692055	(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	1.4559234901616627	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	56.09320159782233	(fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
accuracy	60.00969925692055	(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	0	(PI.f64)
accuracy	0.03515625	(fma.f64 (PI.f64) #s(literal -1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy	57.75613254788161	(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))))
accuracy	60.00969925692055	(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	1.0	(.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))
accuracy	1.58496250072115	(pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 4 binary64))
accuracy	58.83307432970097	(fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (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))))))
accuracy	60.00969925692055	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Samples

347.0ms	246×	1	valid
5.0ms	10×	0	valid

Compiler

Compiled 1 427 to 91 computations (93.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 283.0ms

ival-mult: 83.0ms (29.3% of total)

adjust: 33.0ms (11.7% of total)

ival-div: 29.0ms (10.2% of total)

ival-add: 27.0ms (9.5% of total)

ival-pow: 26.0ms (9.2% of total)

ival-acos: 26.0ms (9.2% of total)

ival-asin: 18.0ms (6.4% of total)

ival-pow2: 16.0ms (5.7% of total)

ival-sub: 13.0ms (4.6% of total)

ival-neg: 6.0ms (2.1% of total)

ival-sqrt: 3.0ms (1.1% of total)

ival-pi: 2.0ms (0.7% of total)

exact: 1.0ms (0.4% of total)

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

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

series69.0ms (0.7%)

Memory

-4.2MiB live, 32.8MiB allocated

Counts

27 → 276

Calls

Call 1

Inputs
#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 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (patch (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (PI.f64) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (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))))) (patch (/.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (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))))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (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))))) (patch (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (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))))) #<representation binary64>) () ())
#s(alt (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)))) (patch (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)))) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (fma.f64 (PI.f64) #s(literal -1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (patch (fma.f64 (PI.f64) #s(literal -1/2 binary64) (acos.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 (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)))) (patch (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)))) #<representation binary64>) () ())
#s(alt (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (patch (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 4 binary64) (PI.f64))) (patch (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 4 binary64) (PI.f64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (patch (fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (neg.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (patch (neg.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (patch (fma.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 4 binary64) (PI.f64))) (patch (/.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 4 binary64) (PI.f64))) #<representation binary64>) () ())
#s(alt (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (patch (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #<representation binary64>) () ())
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#s(alt (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (patch (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #<representation binary64>) () ())
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#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (patch (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())
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Outputs
#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>) () ())) ())
#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>) () ())) ())
#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 (- (acos (- 1 x)) (* 1/2 (PI))) (taylor 0 x) (#s(alt (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (patch (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (PI.f64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
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Calls

3 calls:

Time

Variable

Point

Expression

19.0ms

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

15.0ms

-inf

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

14.0ms

inf

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

simplify170.0ms (1.7%)

Memory

-9.0MiB live, 70.8MiB allocated

Algorithm

1×	egg-herbie

Rules

15 488×	`lower-fma.f64`
15 488×	`lower-fma.f32`
5 848×	`lower-*.f64`
5 848×	`lower-*.f32`
4 034×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	159	8040
1	564	7956
2	1266	7788
3	4343	7476
0	8330	7008

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

Inputs
(* 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))))
(- (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 (/ (+ (* -2 (* (+ (* 1/4 (pow (PI) 2)) (* (acos (- 1 x)) (- (acos (- 1 x)) (* 1/2 (PI))))) (- (* 1/16 (pow (PI) 4)) (pow (acos (- 1 x)) 4)))) (* (PI) (* (+ (* 1/8 (pow (PI) 3)) (pow (acos (- 1 x)) 3)) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))) (* (+ (acos (- 1 x)) (* 1/2 (PI))) (* (+ (* 1/4 (pow (PI) 2)) (* (acos (- 1 x)) (- (acos (- 1 x)) (* 1/2 (PI))))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))))
(* 1/2 (/ (+ (* -2 (* (+ (* 1/4 (pow (PI) 2)) (* (acos (- 1 x)) (- (acos (- 1 x)) (* 1/2 (PI))))) (- (* 1/16 (pow (PI) 4)) (pow (acos (- 1 x)) 4)))) (* (PI) (* (+ (* 1/8 (pow (PI) 3)) (pow (acos (- 1 x)) 3)) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))) (* (+ (acos (- 1 x)) (* 1/2 (PI))) (* (+ (* 1/4 (pow (PI) 2)) (* (acos (- 1 x)) (- (acos (- 1 x)) (* 1/2 (PI))))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))))
(* 1/2 (/ (+ (* -2 (* (+ (* 1/4 (pow (PI) 2)) (* (acos (- 1 x)) (- (acos (- 1 x)) (* 1/2 (PI))))) (- (* 1/16 (pow (PI) 4)) (pow (acos (- 1 x)) 4)))) (* (PI) (* (+ (* 1/8 (pow (PI) 3)) (pow (acos (- 1 x)) 3)) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))) (* (+ (acos (- 1 x)) (* 1/2 (PI))) (* (+ (* 1/4 (pow (PI) 2)) (* (acos (- 1 x)) (- (acos (- 1 x)) (* 1/2 (PI))))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))))
(* 1/2 (/ (+ (* -2 (* (+ (* 1/4 (pow (PI) 2)) (* (acos (- 1 x)) (- (acos (- 1 x)) (* 1/2 (PI))))) (- (* 1/16 (pow (PI) 4)) (pow (acos (- 1 x)) 4)))) (* (PI) (* (+ (* 1/8 (pow (PI) 3)) (pow (acos (- 1 x)) 3)) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))) (* (+ (acos (- 1 x)) (* 1/2 (PI))) (* (+ (* 1/4 (pow (PI) 2)) (* (acos (- 1 x)) (- (acos (- 1 x)) (* 1/2 (PI))))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))))
(/ (+ (* -2 (* (+ (* 1/4 (pow (PI) 2)) (* (acos (- 1 x)) (- (acos (- 1 x)) (* 1/2 (PI))))) (- (* 1/16 (pow (PI) 4)) (pow (acos (- 1 x)) 4)))) (* (PI) (* (+ (* 1/8 (pow (PI) 3)) (pow (acos (- 1 x)) 3)) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))) (* (+ (* 1/4 (pow (PI) 2)) (* (acos (- 1 x)) (- (acos (- 1 x)) (* 1/2 (PI))))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))
(/ (+ (* -2 (* (+ (* 1/4 (pow (PI) 2)) (* (acos (- 1 x)) (- (acos (- 1 x)) (* 1/2 (PI))))) (- (* 1/16 (pow (PI) 4)) (pow (acos (- 1 x)) 4)))) (* (PI) (* (+ (* 1/8 (pow (PI) 3)) (pow (acos (- 1 x)) 3)) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))) (* (+ (* 1/4 (pow (PI) 2)) (* (acos (- 1 x)) (- (acos (- 1 x)) (* 1/2 (PI))))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))
(/ (+ (* -2 (* (+ (* 1/4 (pow (PI) 2)) (* (acos (- 1 x)) (- (acos (- 1 x)) (* 1/2 (PI))))) (- (* 1/16 (pow (PI) 4)) (pow (acos (- 1 x)) 4)))) (* (PI) (* (+ (* 1/8 (pow (PI) 3)) (pow (acos (- 1 x)) 3)) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))) (* (+ (* 1/4 (pow (PI) 2)) (* (acos (- 1 x)) (- (acos (- 1 x)) (* 1/2 (PI))))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))
(/ (+ (* -2 (* (+ (* 1/4 (pow (PI) 2)) (* (acos (- 1 x)) (- (acos (- 1 x)) (* 1/2 (PI))))) (- (* 1/16 (pow (PI) 4)) (pow (acos (- 1 x)) 4)))) (* (PI) (* (+ (* 1/8 (pow (PI) 3)) (pow (acos (- 1 x)) 3)) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))) (* (+ (* 1/4 (pow (PI) 2)) (* (acos (- 1 x)) (- (acos (- 1 x)) (* 1/2 (PI))))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))
(+ (acos (- 1 x)) (+ (* -1/2 (PI)) (* 1/2 (PI))))
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(acos (- 1 x))
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(- (* 1/2 (PI)) (acos (- 1 x)))
(- (* 1/2 (PI)) (acos (- 1 x)))
(- (* 1/2 (PI)) (acos (- 1 x)))
(- (* 1/2 (PI)) (acos (- 1 x)))
(- (PI) (acos (- 1 x)))
(- (PI) (acos (- 1 x)))
(- (PI) (acos (- 1 x)))
(- (PI) (acos (- 1 x)))
(* 1/4 (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))))
(* 1/4 (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))))
(* 1/4 (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))))
(* 1/4 (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))))
(- (* 1/2 (/ (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (- (PI) (acos (- 1 x))))) (asin (- 1 x)))
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(- (* 1/2 (/ (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (- (PI) (acos (- 1 x))))) (asin (- 1 x)))
(- (* 1/2 (/ (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (- (PI) (acos (- 1 x))))) (asin (- 1 x)))
(/ -1 (acos (- 1 x)))
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(/ -1 (acos (- 1 x)))
(/ -1 (acos (- 1 x)))
(- (* 1/2 (/ (* (PI) (+ (* -1 (/ (pow (asin (- 1 x)) 2) (acos (- 1 x)))) (* 1/4 (/ (pow (PI) 2) (acos (- 1 x)))))) (+ (asin (- 1 x)) (* 1/2 (PI))))) (asin (- 1 x)))
(- (* 1/2 (/ (* (PI) (+ (* -1 (/ (pow (asin (- 1 x)) 2) (acos (- 1 x)))) (* 1/4 (/ (pow (PI) 2) (acos (- 1 x)))))) (+ (asin (- 1 x)) (* 1/2 (PI))))) (asin (- 1 x)))
(- (* 1/2 (/ (* (PI) (+ (* -1 (/ (pow (asin (- 1 x)) 2) (acos (- 1 x)))) (* 1/4 (/ (pow (PI) 2) (acos (- 1 x)))))) (+ (asin (- 1 x)) (* 1/2 (PI))))) (asin (- 1 x)))
(- (* 1/2 (/ (* (PI) (+ (* -1 (/ (pow (asin (- 1 x)) 2) (acos (- 1 x)))) (* 1/4 (/ (pow (PI) 2) (acos (- 1 x)))))) (+ (asin (- 1 x)) (* 1/2 (PI))))) (asin (- 1 x)))
(* 1/4 (* (PI) (+ (* -1 (/ (pow (asin (- 1 x)) 2) (acos (- 1 x)))) (* 1/4 (/ (pow (PI) 2) (acos (- 1 x)))))))
(* 1/4 (* (PI) (+ (* -1 (/ (pow (asin (- 1 x)) 2) (acos (- 1 x)))) (* 1/4 (/ (pow (PI) 2) (acos (- 1 x)))))))
(* 1/4 (* (PI) (+ (* -1 (/ (pow (asin (- 1 x)) 2) (acos (- 1 x)))) (* 1/4 (/ (pow (PI) 2) (acos (- 1 x)))))))
(* 1/4 (* (PI) (+ (* -1 (/ (pow (asin (- 1 x)) 2) (acos (- 1 x)))) (* 1/4 (/ (pow (PI) 2) (acos (- 1 x)))))))
(asin (- 1 x))
(asin (- 1 x))
(asin (- 1 x))
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(* 1/4 (/ (* (pow (PI) 2) (- (acos (- 1 x)) (* 4 (/ (* (acos (- 1 x)) (pow (asin (- 1 x)) 2)) (pow (PI) 2))))) (pow (acos (- 1 x)) 2)))
(* 1/4 (/ (* (pow (PI) 2) (- (acos (- 1 x)) (* 4 (/ (* (acos (- 1 x)) (pow (asin (- 1 x)) 2)) (pow (PI) 2))))) (pow (acos (- 1 x)) 2)))
(* 1/4 (/ (* (pow (PI) 2) (- (acos (- 1 x)) (* 4 (/ (* (acos (- 1 x)) (pow (asin (- 1 x)) 2)) (pow (PI) 2))))) (pow (acos (- 1 x)) 2)))
(* 1/4 (/ (* (pow (PI) 2) (- (acos (- 1 x)) (* 4 (/ (* (acos (- 1 x)) (pow (asin (- 1 x)) 2)) (pow (PI) 2))))) (pow (acos (- 1 x)) 2)))
(- (acos (- 1 x)) (* 4 (/ (* (acos (- 1 x)) (pow (asin (- 1 x)) 2)) (pow (PI) 2))))
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(- (acos (- 1 x)) (* 4 (/ (* (acos (- 1 x)) (pow (asin (- 1 x)) 2)) (pow (PI) 2))))
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(* 4 (/ (pow (acos (- 1 x)) 2) (pow (PI) 2)))
(* 4 (/ (pow (acos (- 1 x)) 2) (pow (PI) 2)))
(* 4 (/ (pow (acos (- 1 x)) 2) (pow (PI) 2)))
(* 4 (/ (pow (acos (- 1 x)) 2) (pow (PI) 2)))
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(asin (- 1 x))
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(asin (- 1 x))
(asin (- 1 x))
(+ (* -1 (/ (pow (asin (- 1 x)) 2) (acos (- 1 x)))) (* 1/4 (/ (pow (PI) 2) (acos (- 1 x)))))
(+ (* -1 (/ (pow (asin (- 1 x)) 2) (acos (- 1 x)))) (* 1/4 (/ (pow (PI) 2) (acos (- 1 x)))))
(+ (* -1 (/ (pow (asin (- 1 x)) 2) (acos (- 1 x)))) (* 1/4 (/ (pow (PI) 2) (acos (- 1 x)))))
(+ (* -1 (/ (pow (asin (- 1 x)) 2) (acos (- 1 x)))) (* 1/4 (/ (pow (PI) 2) (acos (- 1 x)))))
(- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (- (* 1/4 (/ (* (pow (PI) 3) (- (acos (- 1 x)) (* 4 (/ (* (acos (- 1 x)) (pow (asin (- 1 x)) 2)) (pow (PI) 2))))) (pow (acos (- 1 x)) 2))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (PI))))
(- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (- (* 1/4 (/ (* (pow (PI) 3) (- (acos (- 1 x)) (* 4 (/ (* (acos (- 1 x)) (pow (asin (- 1 x)) 2)) (pow (PI) 2))))) (pow (acos (- 1 x)) 2))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (PI))))
(- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (- (* 1/4 (/ (* (pow (PI) 3) (- (acos (- 1 x)) (* 4 (/ (* (acos (- 1 x)) (pow (asin (- 1 x)) 2)) (pow (PI) 2))))) (pow (acos (- 1 x)) 2))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (PI))))
(- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (- (* 1/4 (/ (* (pow (PI) 3) (- (acos (- 1 x)) (* 4 (/ (* (acos (- 1 x)) (pow (asin (- 1 x)) 2)) (pow (PI) 2))))) (pow (acos (- 1 x)) 2))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (PI))))
(* 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))))
(- (acos (- 1 x)) (* 1/2 (PI)))
(- (acos (- 1 x)) (* 1/2 (PI)))
(- (acos (- 1 x)) (* 1/2 (PI)))
(- (acos (- 1 x)) (* 1/2 (PI)))
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(* 1/2 (/ (+ (* -2 (* (+ (* 1/4 (pow (PI) 2)) (* (acos (- 1 x)) (- (acos (- 1 x)) (* 1/2 (PI))))) (- (* 1/16 (pow (PI) 4)) (pow (acos (- 1 x)) 4)))) (* (PI) (* (+ (* 1/8 (pow (PI) 3)) (pow (acos (- 1 x)) 3)) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))) (* (+ (acos (- 1 x)) (* 1/2 (PI))) (* (+ (* 1/4 (pow (PI) 2)) (* (acos (- 1 x)) (- (acos (- 1 x)) (* 1/2 (PI))))) (+ (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))))
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(* 1/4 (/ (* (PI) (- (* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (/ (- (* 1/4 (/ (* (pow (PI) 3) (- (acos (+ 1 (* -1 x))) (* 4 (/ (* (acos (+ 1 (* -1 x))) (pow (asin (+ 1 (* -1 x))) 2)) (pow (PI) 2))))) (pow (acos (+ 1 (* -1 x))) 2))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) (PI))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
(* 1/4 (/ (* (PI) (- (* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (/ (- (* 1/4 (/ (* (pow (PI) 3) (- (acos (+ 1 (* -1 x))) (* 4 (/ (* (acos (+ 1 (* -1 x))) (pow (asin (+ 1 (* -1 x))) 2)) (pow (PI) 2))))) (pow (acos (+ 1 (* -1 x))) 2))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) (PI))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
(* 1/4 (/ (* (PI) (- (* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (/ (- (* 1/4 (/ (* (pow (PI) 3) (- (acos (+ 1 (* -1 x))) (* 4 (/ (* (acos (+ 1 (* -1 x))) (pow (asin (+ 1 (* -1 x))) 2)) (pow (PI) 2))))) (pow (acos (+ 1 (* -1 x))) 2))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) (PI))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
(* 4 (/ (pow (acos (+ 1 (* -1 x))) 2) (pow (PI) 2)))
(* 4 (/ (pow (acos (+ 1 (* -1 x))) 2) (pow (PI) 2)))
(* 4 (/ (pow (acos (+ 1 (* -1 x))) 2) (pow (PI) 2)))
(* 4 (/ (pow (acos (+ 1 (* -1 x))) 2) (pow (PI) 2)))
(+ (* -2 (* (+ (* 1/4 (pow (PI) 2)) (* (acos (+ 1 (* -1 x))) (- (acos (+ 1 (* -1 x))) (* 1/2 (PI))))) (- (* 1/16 (pow (PI) 4)) (pow (acos (+ 1 (* -1 x))) 4)))) (* (PI) (* (+ (* 1/8 (pow (PI) 3)) (pow (acos (+ 1 (* -1 x))) 3)) (+ (* 1/4 (pow (PI) 2)) (pow (acos (+ 1 (* -1 x))) 2)))))
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(+ (* -2 (* (+ (* 1/4 (pow (PI) 2)) (* (acos (+ 1 (* -1 x))) (- (acos (+ 1 (* -1 x))) (* 1/2 (PI))))) (- (* 1/16 (pow (PI) 4)) (pow (acos (+ 1 (* -1 x))) 4)))) (* (PI) (* (+ (* 1/8 (pow (PI) 3)) (pow (acos (+ 1 (* -1 x))) 3)) (+ (* 1/4 (pow (PI) 2)) (pow (acos (+ 1 (* -1 x))) 2)))))
(asin (+ 1 (* -1 x)))
(asin (+ 1 (* -1 x)))
(asin (+ 1 (* -1 x)))
(asin (+ 1 (* -1 x)))
(+ (* -1 (/ (pow (asin (+ 1 (* -1 x))) 2) (acos (+ 1 (* -1 x))))) (* 1/4 (/ (pow (PI) 2) (acos (+ 1 (* -1 x))))))
(+ (* -1 (/ (pow (asin (+ 1 (* -1 x))) 2) (acos (+ 1 (* -1 x))))) (* 1/4 (/ (pow (PI) 2) (acos (+ 1 (* -1 x))))))
(+ (* -1 (/ (pow (asin (+ 1 (* -1 x))) 2) (acos (+ 1 (* -1 x))))) (* 1/4 (/ (pow (PI) 2) (acos (+ 1 (* -1 x))))))
(+ (* -1 (/ (pow (asin (+ 1 (* -1 x))) 2) (acos (+ 1 (* -1 x))))) (* 1/4 (/ (pow (PI) 2) (acos (+ 1 (* -1 x))))))
(- (* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (/ (- (* 1/4 (/ (* (pow (PI) 3) (- (acos (+ 1 (* -1 x))) (* 4 (/ (* (acos (+ 1 (* -1 x))) (pow (asin (+ 1 (* -1 x))) 2)) (pow (PI) 2))))) (pow (acos (+ 1 (* -1 x))) 2))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) (PI))))
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(- (* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (/ (- (* 1/4 (/ (* (pow (PI) 3) (- (acos (+ 1 (* -1 x))) (* 4 (/ (* (acos (+ 1 (* -1 x))) (pow (asin (+ 1 (* -1 x))) 2)) (pow (PI) 2))))) (pow (acos (+ 1 (* -1 x))) 2))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) (PI))))
(- (* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (/ (- (* 1/4 (/ (* (pow (PI) 3) (- (acos (+ 1 (* -1 x))) (* 4 (/ (* (acos (+ 1 (* -1 x))) (pow (asin (+ 1 (* -1 x))) 2)) (pow (PI) 2))))) (pow (acos (+ 1 (* -1 x))) 2))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) (PI))))

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

rewrite256.0ms (2.5%)

Memory

14.9MiB live, 136.1MiB allocated

Rules

7 212×	`lower-fma.f32`
7 188×	`lower-fma.f64`
4 158×	`lower-*.f32`
4 112×	`lower-*.f64`
2 420×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	730
0	157	664
1	732	553
2	6975	553
0	8018	543

Stop Event

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

Counts

27 → 1 294

Calls

Call 1

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

eval1.2s (11.7%)

Memory: -121.3MiB live, 706.3MiB allocated
Compiler: Compiled 411 894 to 19 054 computations (95.4% saved)

prune787.0ms (7.7%)

Memory

-13.0MiB live, 726.5MiB allocated

Pruning

82 alts after pruning (77 fresh and 5 done)

	Pruned	Kept	Total
New	5 096	42	5 138
Fresh	19	35	54
Picked	4	1	5
Done	0	4	4
Total	5 119	82	5 201

Accuracy

10.0%

Counts

5 201 → 82

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.2%	(fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	6.2%	(fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (PI.f64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	4.4%	(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	9.5%	(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	2.3%	(fma.f64 (/.f64 (fma.f64 (pow.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)))) #s(literal 2 binary64)) (neg.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	2.4%	(fma.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	2.4%	(fma.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (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))))))
	2.4%	(fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	2.4%	(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (PI.f64) (PI.f64)) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	2.4%	(fma.f64 (/.f64 (fma.f64 (.f64 (/.f64 #s(literal -1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	2.4%	(fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (/.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	6.2%	(fma.f64 (/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	9.5%	(fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 4 binary64) (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	4.4%	(fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	2.4%	(fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 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))))
	2.4%	(fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 (/.f64 #s(literal -1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	2.4%	(fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (/.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 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))))
	9.5%	(fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	2.4%	(fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) (pow.f64 (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 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))))
	9.5%	(fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (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))))))
	9.5%	(fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (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))))))
	9.6%	(fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.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))))))
	9.5%	(fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (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))))))
	2.4%	(fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.f64 (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal -2 binary64))) (.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	2.5%	(fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (/.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))))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	2.3%	(fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 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))))
	9.6%	(fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	2.3%	(fma.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64))) #s(literal -3 binary64)) (.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))) (fma.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64))) #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	2.5%	(fma.f64 (/.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 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	2.4%	(fma.f64 (/.f64 (-.f64 (pow.f64 (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (-.f64 (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	2.5%	(fma.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))) (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (pow.f64 (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	2.4%	(fma.f64 (/.f64 (.f64 (-.f64 (pow.f64 (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (PI.f64))) (-.f64 (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	2.5%	(fma.f64 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))) (.f64 #s(literal 1/4 binary64) (PI.f64))) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (pow.f64 (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	2.5%	(fma.f64 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))) (.f64 #s(literal 1/4 binary64) (PI.f64))) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (pow.f64 (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	9.6%	(fma.f64 (/.f64 #s(literal 2 binary64) (-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	9.6%	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	6.2%	(fma.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	9.6%	(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 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	4.4%	(fma.f64 (.f64 (.f64 (.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	4.4%	(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))))
	6.8%	(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)))))
	9.6%	(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (-.f64 (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	9.6%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal -1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
✓	6.2%	(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))))
	6.2%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
✓	6.2%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	9.6%	(fma.f64 #s(approx (/ (+ (* (PI) 1/2) (asin (- 1 x))) (/ 4 (PI))) (.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64)) (PI.f64))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
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	9.5%	(/.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 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #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)))))
	7.8%	(/.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 (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (PI.f64) #s(literal 1/2 binary64)))))) (-.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)))))
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	9.5%	(/.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (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 (.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)))))) (.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)))))
	9.6%	(/.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (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 (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (asin.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)))))
	9.6%	(/.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (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 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (.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 (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)))))
	9.6%	(/.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)))))
	9.5%	(/.f64 (-.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #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 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	4.4%	(/.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)))))
	9.6%	(/.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)))))
	4.4%	(/.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) (.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))))))
	9.6%	(/.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))))))
	2.4%	(/.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 (PI.f64) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (/.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (acos.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))))))
	2.4%	(/.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 (PI.f64) (fma.f64 (PI.f64) (pow.f64 (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (acos.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))))))
	2.3%	(/.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 (fma.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (.f64 (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64))) (acos.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))))))
	2.4%	(/.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 (PI.f64) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64))) (acos.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))))))
	2.3%	(/.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 (.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (.f64 (.f64 (fma.f64 (/.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)))) (.f64 #s(literal -1/2 binary64) (PI.f64))) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64))) (acos.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))))))
	2.4%	(/.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 (PI.f64) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (.f64 (.f64 (fma.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (pow.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64))) (acos.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))))))
	2.3%	(/.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 (.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64))) (acos.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 (PI.f64) #s(literal 1/2 binary64) (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))))))
	2.4%	(/.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 (PI.f64) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) #s(approx ( (* (acos (- 1 x)) (pow (/ 2 (PI)) 2)) (acos (- 1 x))) (.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (PI.f64) (PI.f64))) #s(literal 4 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))))))
	2.4%	(/.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 (PI.f64) (/.f64 (.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (acos.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))))))
	6.2%	(-.f64 (fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 0 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
	6.2%	(+.f64 (-.f64 (/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 (PI.f64) #s(literal 1/2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
✓	6.2%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
✓	6.8%	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
✓	3.9%	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
	2.4%	#s(approx (/ (- (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (PI)) (- (* (PI) (/ (- (* 1 (acos (- 1 x))) (* (* (acos (- 1 x)) (pow (/ 2 (PI)) 2)) (pow (asin (- 1 x)) 2))) (* (* (acos (- 1 x)) (pow (/ 2 (PI)) 2)) (acos (- 1 x))))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (* (/ 2 (PI)) (* 2 (+ (* 1/2 (PI)) (asin (- 1 x)))))) (.f64 (.f64 (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (fma.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (PI.f64) (PI.f64))) #s(literal -4 binary64) #s(literal 1 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/2 binary64) (.f64 (.f64 (acos.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)))) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)))) #s(literal 1/4 binary64)) (PI.f64)))
	6.2%	#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)))
	3.2%	#s(approx (+ (* (/ (+ (* (pow (asin (- 1 x)) 2) (neg (pow (acos (- 1 x)) -1))) (/ (* (* (PI) (PI)) 1/4) (acos (- 1 x)))) (/ 4 (PI))) (/ 2 (+ (* (PI) 1/2) (asin (- 1 x))))) (neg (* (asin (- 1 x)) 1))) (fma.f64 (/.f64 (.f64 (/.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))

Compiler

Compiled 12 321 to 2 708 computations (78% saved)

regimes112.0ms (1.1%)

Memory

17.4MiB live, 53.4MiB allocated

Counts

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

Calls

3 calls:

36.0ms	(-.f64 #s(literal 1 binary64) x)
36.0ms	x
29.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
9.6%	1	`x`
9.6%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
9.6%	1	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes87.0ms (0.9%)

Memory

-35.7MiB live, 43.2MiB allocated

Counts

117 → 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) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (PI.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 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (-.f64 (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (PI.f64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (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))))))
(fma.f64 (/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 0 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 2 binary64) (-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (asin.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 (*.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 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(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))))
(+.f64 (-.f64 (/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 (PI.f64) #s(literal 1/2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.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 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (-.f64 (PI.f64) (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 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.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))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.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 (.f64 (.f64 (.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
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(/.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 (.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64))) (acos.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 (PI.f64) #s(literal 1/2 binary64) (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))))))
(fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.f64 (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal -2 binary64))) (.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (.f64 (/.f64 #s(literal -2 binary64) (PI.f64)) (fma.f64 (.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #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))))))

Outputs

(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 (asin.f64 (-.f64 #s(literal 1 binary64) x))))

Calls

3 calls:

29.0ms	x
24.0ms	(-.f64 #s(literal 1 binary64) x)
23.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
9.6%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
9.6%	1	`(-.f64 #s(literal 1 binary64) x)`
9.6%	1	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes18.0ms (0.2%)

Memory

10.5MiB live, 10.5MiB allocated

Counts

22 → 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) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (PI.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 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (-.f64 (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (PI.f64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (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))))))
(fma.f64 (/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 0 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 2 binary64) (-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (asin.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)))

Outputs

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

Calls

3 calls:

6.0ms	x
5.0ms	(-.f64 #s(literal 1 binary64) x)
5.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
9.6%	1	`x`
9.6%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
9.6%	1	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes16.0ms (0.2%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

20 → 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) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (PI.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 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (-.f64 (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (PI.f64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (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))))))
(fma.f64 (/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 0 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))

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

Calls

3 calls:

6.0ms	x
5.0ms	(-.f64 #s(literal 1 binary64) x)
5.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
9.6%	1	`x`
9.6%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
9.6%	1	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes11.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB 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) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (PI.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 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (-.f64 (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
9.6%	1	`x`
9.6%	1	`(-.f64 #s(literal 1 binary64) x)`
9.6%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes10.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB 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) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (PI.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
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
8.7%	2	`x`
8.7%	2	`(-.f64 #s(literal 1 binary64) x)`
8.7%	2	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes5.0ms (0%)

Memory

-40.5MiB live, 3.8MiB 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:

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

Results

Accuracy	Segments	Branch
6.8%	1	`(-.f64 #s(literal 1 binary64) x)`
6.8%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
6.8%	1	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes3.0ms (0%)

Memory

3.5MiB live, 3.5MiB 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:

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

Results

Accuracy	Segments	Branch
3.9%	1	`(-.f64 #s(literal 1 binary64) x)`
3.9%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
3.9%	1	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

bsearch14.0ms (0.1%)

Memory

3.9MiB live, 3.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.9554628525326732e-18	2.659401248377994e-16

Samples

9.0ms

112×

valid

Compiler

Compiled 63 to 78 computations (-23.8% saved)

Precisions

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

ival-acos: 4.0ms (63.3% of total)

ival-sub: 1.0ms (15.8% of total)

adjust: 1.0ms (15.8% of total)

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

exact: 0.0ms (0% of total)

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

simplify22.0ms (0.2%)

Memory

18.8MiB live, 18.8MiB allocated

Algorithm

1×	egg-herbie

Rules

42×	`-commutative-binary64-.f64`
24×	`+-commutative-binary64-+.f64`
24×	`sub-neg-binary64-neg.f64-+.f64--.f64`
14×	`neg-sub0-binary64--.f64-neg.f64`
14×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	210
1	97	210
2	119	210
3	131	210
4	137	210
5	138	210

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (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 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (.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 (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)))))
(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 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal 2 binary64) (-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal -1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (-.f64 (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(if (<=.f64 x #s(literal 2271629875608987/40564819207303340847894502572032 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 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (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 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (.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 (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)))))
(/.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (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 (.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (.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)) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.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)))))) (.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.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)))) (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 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(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 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal 2 binary64) (-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal 2 binary64) (-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/4 binary64) (PI.f64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal -1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (-.f64 (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(if (<=.f64 x #s(literal 2271629875608987/40564819207303340847894502572032 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)))

soundness761.0ms (7.5%)

Memory

-22.6MiB live, 16.9MiB allocated

Rules

7 212×	`lower-fma.f32`
7 188×	`lower-fma.f64`
5 530×	`lower-fma.f32`
5 512×	`lower-fma.f64`
5 494×	`lower-*.f32`

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
0	79	730
0	157	664
1	732	553
2	6975	553
0	8018	543
0	70	628
0	137	577
1	655	496
2	5673	496
0	8149	482
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	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×	saturated
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 768 to 274 computations (64.3% saved)

preprocess57.0ms (0.6%)

Memory: 16.9MiB live, 55.5MiB allocated
Compiler: Compiled 424 to 144 computations (66% 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%)

sample1.3s (12.8%)

explain85.0ms (0.8%)

preprocess13.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize28.0ms (0.3%)

series1.0ms (0%)

simplify7.0ms (0.1%)

rewrite147.0ms (1.4%)

eval61.0ms (0.6%)

prune88.0ms (0.9%)

simplify110.0ms (1.1%)

localize181.0ms (1.8%)

series40.0ms (0.4%)

simplify162.0ms (1.6%)

rewrite327.0ms (3.2%)

eval722.0ms (7.1%)

prune421.0ms (4.1%)

simplify167.0ms (1.6%)

localize399.0ms (3.9%)

series68.0ms (0.7%)

simplify183.0ms (1.8%)

rewrite248.0ms (2.4%)

eval684.0ms (6.7%)

prune584.0ms (5.7%)

simplify102.0ms (1%)

localize450.0ms (4.4%)

series69.0ms (0.7%)

simplify170.0ms (1.7%)

rewrite256.0ms (2.5%)

eval1.2s (11.7%)

prune787.0ms (7.7%)

regimes112.0ms (1.1%)

regimes87.0ms (0.9%)

regimes18.0ms (0.2%)

regimes16.0ms (0.2%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

regimes5.0ms (0%)

regimes3.0ms (0%)

bsearch14.0ms (0.1%)

simplify22.0ms (0.2%)

soundness761.0ms (7.5%)

preprocess57.0ms (0.6%)

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