Metrics for bug323 (missed optimization)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample2.0s (20.4%)

Memory

6.5MiB live, 1 973.2MiB allocated

Samples

1.5s	7 957×	1	valid
15.0ms	299×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 962.0ms

ival-acos: 414.0ms (43% of total)

ival-sub: 338.0ms (35.1% of total)

adjust: 115.0ms (12% of total)

ival-<=: 67.0ms (7% of total)

exact: 14.0ms (1.5% of total)

ival-and: 11.0ms (1.1% of total)

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

Bogosity

explain136.0ms (1.4%)

Memory

7.2MiB live, 173.8MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`acos.f64`	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`	sensitivity	254	1

Confusion

	Predicted +	Predicted -
+	254	0
-	0	2

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	254	0	0
-	0	1	1

Precision?

0.996078431372549

Recall?

1.0

Freqs

test

number	freq
0	2
1	254

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

94.0ms	492×	1	valid
1.0ms	20×	0	valid

Compiler

Compiled 26 to 16 computations (38.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-acos: 30.0ms (69.8% of total)

ival-sub: 6.0ms (14% of total)

adjust: 6.0ms (14% of total)

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

exact: 0.0ms (0% of total)

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

preprocess14.0ms (0.1%)

Memory

20.6MiB live, 20.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 4 to 4 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.1%	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Compiler

Compiled 4 to 4 computations (0% saved)

simplify18.0ms (0.2%)

Memory

-59.7MiB live, 5.5MiB 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

localize29.0ms (0.3%)

Memory

28.1MiB live, 28.1MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	59.459500952559466	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Samples

23.0ms	246×	1	valid
0.0ms	10×	0	valid

Compiler

Compiled 11 to 6 computations (45.5% saved)

Precisions

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

ival-acos: 10.0ms (62.4% of total)

ival-sub: 3.0ms (18.7% of total)

adjust: 3.0ms (18.7% 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

1.7MiB live, 1.7MiB 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))

simplify8.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB 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)

rewrite832.0ms (8.4%)

Memory

9.5MiB live, 320.0MiB 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 (+.f64 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64)))) #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 (+.f64 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) #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))) (+.f64 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (+.f64 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (+.f64 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64))))) (/.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (+.f64 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64))))) (fma.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (+.f64 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (+.f64 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (+.f64 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (+.f64 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))
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(-.f64 (/.f64 (pow.f64 (+.f64 (hypot.f64 (.f64 x x) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (hypot.f64 (.f64 x x) x) #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)

eval55.0ms (0.6%)

Memory: -1.0MiB live, 108.8MiB allocated
Compiler: Compiled 11 112 to 1 329 computations (88% saved)

prune43.0ms (0.4%)

Memory

-0.4MiB live, 46.4MiB 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

10.5%

Counts

364 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.3%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
▶	5.2%	(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))))
	7.1%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	7.1%	(/.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)))))
	7.1%	(/.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)))))))
	7.1%	(/.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))))))
▶	8.0%	(/.f64 (-.f64 (.f64 (PI.f64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))) (.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64)))))))
	7.1%	(/.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))))))
▶	7.1%	(/.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)))))
	7.1%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (PI.f64) (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))))))
	7.1%	(/.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))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	7.1%	(-.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)))))
▶	7.1%	(.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)))
✓	7.1%	(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 982 to 454 computations (53.8% saved)

simplify191.0ms (1.9%)

Memory

-8.8MiB live, 312.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	128	(-.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)))))
cost-diff	320	(*.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))))
cost-diff	320	(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff	8384	(/.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)))))
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	0	(*.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	21056	(.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)))
cost-diff	0	(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))
cost-diff	0	(PI.f64)
cost-diff	0	(sqrt.f64 (PI.f64))
cost-diff	1600	(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))))
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	640	(.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
cost-diff	704	(.f64 (PI.f64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64))))))
cost-diff	6400	(.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64))))))
cost-diff	41472	(-.f64 (.f64 (PI.f64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))

Rules

11 850×	`lower-fma.f32`
11 844×	`lower-fma.f64`
5 410×	`lower-*.f32`
5 376×	`lower-*.f64`
1 972×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	668
0	98	688
1	219	674
2	730	552
3	4097	507
0	8223	488

Stop Event

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

Calls

Call 1

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

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

localize311.0ms (3.1%)

Memory

12.4MiB live, 437.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.03515625	(/.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)))))
accuracy	0.546875	(pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
accuracy	57.71915300475118	(-.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)))))
accuracy	59.459500952559466	(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	0.3203125	(*.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	0.43359375	(.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)))
accuracy	1.0050626072870399	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	59.459500952559466	(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	0	(PI.f64)
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	1.0050626072870399	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	56.09794407443019	(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))))
accuracy	1.4525634529159206	#s(approx (- 1 x) #s(literal 1 binary64))
accuracy	59.459500952559466	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
accuracy	1.0050626072870399	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	52.1644086424155	(hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy	57.481135187128835	(-.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)))
accuracy	57.808444454850644	(-.f64 (.f64 (PI.f64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))

Samples

241.0ms	240×	1	valid
6.0ms	16×	0	valid

Compiler

Compiled 795 to 55 computations (93.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 172.0ms

ival-mult: 62.0ms (36% of total)

adjust: 23.0ms (13.4% of total)

ival-asin: 14.0ms (8.1% of total)

ival-pow: 13.0ms (7.6% of total)

ival-acos: 13.0ms (7.6% of total)

ival-div: 12.0ms (7% of total)

ival-sub: 12.0ms (7% of total)

ival-add: 9.0ms (5.2% of total)

ival-pow2: 4.0ms (2.3% of total)

ival-sqrt: 4.0ms (2.3% of total)

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

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

exact: 1.0ms (0.6% of total)

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

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

series67.0ms (0.7%)

Memory

-11.8MiB live, 43.6MiB allocated

Counts

22 → 228

Calls

Call 1

Inputs
#s(alt (-.f64 (.f64 (PI.f64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))) (patch (-.f64 (.f64 (PI.f64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))) #<representation:binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (patch (.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64)))))) #<representation:binary64>) () ())
#s(alt (.f64 (PI.f64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (patch (.f64 (PI.f64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64)))))) #<representation:binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64))))) (patch (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64))))) #<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 (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)))) (patch (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)))) #<representation:binary64>) () ())
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation:binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation:binary64>) () ())
#s(alt (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (patch (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) #<representation:binary64>) () ())
#s(alt (.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))) (patch (.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))) #<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 (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 (/.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))))) (patch (/.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))))) #<representation:binary64>) () ())
#s(alt (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (patch (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation:binary64>) () ())
#s(alt (.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)))) (patch (.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)))) #<representation:binary64>) () ())
#s(alt (-.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))))) (patch (-.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))))) #<representation:binary64>) () ())
#s(alt (-.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))) (patch (-.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))) #<representation:binary64>) () ())
#s(alt (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (patch (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (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 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (patch (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>) () ())

Outputs
#s(alt (- (* 2 (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (- 1 x)))) (pow (asin (- 1 x)) 2)))) (* 2 (- (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (- 1 x)))) (pow (asin (- 1 x)) 2))) (* 2 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3)) (PI)))))) (taylor 0 x) (#s(alt (-.f64 (.f64 (PI.f64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))) (patch (-.f64 (.f64 (PI.f64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))) #<representation:binary64>) () ())) ())
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#s(alt (+ (* 1/4 (pow (PI) 2)) (pow (asin (+ 1 (* -1 x))) 2)) (taylor -inf x) (#s(alt (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (patch (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #<representation:binary64>) () ())) ())
#s(alt (asin (+ 1 (* -1 x))) (taylor -inf x) (#s(alt (asin.f64 (-.f64 #s(literal 1 binary64) x)) (patch (asin.f64 (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (asin (+ 1 (* -1 x))) (taylor -inf x) (#s(alt (asin.f64 (-.f64 #s(literal 1 binary64) x)) (patch (asin.f64 (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (asin (+ 1 (* -1 x))) (taylor -inf x) (#s(alt (asin.f64 (-.f64 #s(literal 1 binary64) x)) (patch (asin.f64 (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (asin (+ 1 (* -1 x))) (taylor -inf x) (#s(alt (asin.f64 (-.f64 #s(literal 1 binary64) x)) (patch (asin.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 (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 (pow (acos (+ 1 (* -1 x))) 2) (taylor -inf x) (#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 (pow (acos (+ 1 (* -1 x))) 2) (taylor -inf x) (#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 (pow (acos (+ 1 (* -1 x))) 2) (taylor -inf x) (#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 (pow (acos (+ 1 (* -1 x))) 2) (taylor -inf x) (#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>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

33.0ms

inf

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

12.0ms

-inf

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

10.0ms

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

simplify209.0ms (2.1%)

Memory

6.0MiB live, 238.5MiB allocated

Algorithm

1×	egg-herbie

Rules

20 260×	`lower-fma.f64`
20 260×	`lower-fma.f32`
3 278×	`lower-*.f64`
3 278×	`lower-*.f32`
2 466×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	3548
1	293	3428
2	594	2864
3	1681	2696
4	6367	2588
0	8258	2348

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

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

rewrite276.0ms (2.8%)

Memory

25.3MiB live, 211.1MiB allocated

Rules

5 606×	`lower-fma.f32`
5 600×	`lower-fma.f64`
4 110×	`lower-*.f32`
4 076×	`lower-*.f64`
3 556×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	318
0	96	296
1	412	278
2	4018	263
0	9636	251

Stop Event

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

Counts

22 → 1 182

Calls

Call 1

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

Outputs
(.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (.f64 (hypot.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 2 binary64) (PI.f64)))) (PI.f64)) #s(literal 2 binary64)) (.f64 (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (PI.f64)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (hypot.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (PI.f64)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (hypot.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64) (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (.f64 (hypot.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 2 binary64) (PI.f64)))) (PI.f64))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (.f64 (hypot.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 2 binary64) (PI.f64)))) (PI.f64)) #s(literal 3 binary64)) (.f64 (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (PI.f64)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (hypot.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64)) #s(literal 8 binary64))) (pow.f64 (fma.f64 (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (PI.f64)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (hypot.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (PI.f64)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (hypot.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64) (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (.f64 (hypot.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 2 binary64) (PI.f64)))) (PI.f64))) (pow.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (.f64 (hypot.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 2 binary64) (PI.f64)))) (PI.f64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (PI.f64)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (hypot.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64) (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (.f64 (hypot.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 2 binary64) (PI.f64)))) (PI.f64))) (-.f64 (pow.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (.f64 (hypot.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 2 binary64) (PI.f64)))) (PI.f64)) #s(literal 2 binary64)) (.f64 (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (PI.f64)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (hypot.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (PI.f64)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (hypot.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (PI.f64)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (hypot.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64) (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (.f64 (hypot.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 2 binary64) (PI.f64)))) (PI.f64))) (pow.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (.f64 (hypot.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 2 binary64) (PI.f64)))) (PI.f64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (.f64 (hypot.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 2 binary64) (PI.f64)))) (PI.f64)) #s(literal 3 binary64)) (.f64 (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (PI.f64)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (hypot.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64)) #s(literal 8 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (.f64 (hypot.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 2 binary64) (PI.f64)))) (PI.f64)) #s(literal 2 binary64)) (.f64 (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (PI.f64)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (hypot.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (PI.f64)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (hypot.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64) (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (.f64 (hypot.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 2 binary64) (PI.f64)))) (PI.f64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (.f64 (hypot.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 2 binary64) (PI.f64)))) (PI.f64)) #s(literal 3 binary64)) (.f64 (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (PI.f64)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (hypot.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64)) #s(literal 8 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (PI.f64)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (hypot.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (PI.f64)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (hypot.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64) (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (.f64 (hypot.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 2 binary64) (PI.f64)))) (PI.f64))) (pow.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (.f64 (hypot.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 2 binary64) (PI.f64)))) (PI.f64)) #s(literal 2 binary64))))))
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eval721.0ms (7.2%)

Memory: -8.1MiB live, 695.9MiB allocated
Compiler: Compiled 203 292 to 10 182 computations (95% saved)

prune150.0ms (1.5%)

Memory

-32.5MiB live, 159.1MiB allocated

Pruning

26 alts after pruning (23 fresh and 3 done)

	Pruned	Kept	Total
New	3 257	19	3 276
Fresh	6	4	10
Picked	3	2	5
Done	0	1	1
Total	3 266	26	3 292

Accuracy

11.0%

Counts

3 292 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.1%	(fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
▶	10.7%	(fma.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	5.3%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.5%	(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	7.6%	(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))
	5.2%	(fma.f64 (sqrt.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)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.5%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.5%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
✓	5.2%	(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))))
▶	10.4%	(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	7.1%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	5.3%	(/.f64 (-.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (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)))))
▶	7.1%	(/.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)))))
	8.0%	(/.f64 (-.f64 (.f64 (PI.f64) (.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 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))) (.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
	8.0%	(/.f64 (-.f64 (.f64 (PI.f64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.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 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))) (.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64)))))))
	10.4%	(/.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) (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 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 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	5.2%	(/.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) (.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 #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)))))
▶	10.4%	(/.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 (.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 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.5%	(/.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 (.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 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	5.3%	(/.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 (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (hypot.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.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)))))
	5.3%	(/.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 (/.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))) (/.f64 (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))))) (-.f64 (hypot.f64 (.f64 #s(literal 1/2 binary64) (PI.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))))) #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)))))
	5.3%	(/.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) (/.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))) (/.f64 (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))))) (-.f64 (hypot.f64 (.f64 #s(literal 1/2 binary64) (PI.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))))))))
	7.1%	(-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
✓	7.1%	(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 1 729 to 910 computations (47.4% saved)

simplify169.0ms (1.7%)

Memory

12.4MiB live, 50.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	320	(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff	1600	(*.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)))
cost-diff	2176	(/.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 (.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 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
cost-diff	12864	(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))
cost-diff	0	(/.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	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	1216	(-.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	0	(*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64))
cost-diff	0	(PI.f64)
cost-diff	0	(sqrt.f64 (PI.f64))
cost-diff	0	(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
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)))
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 (PI.f64) (PI.f64))
cost-diff	0	(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
cost-diff	0	(fma.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))

Rules

9 376×	`lower-fma.f32`
9 370×	`lower-fma.f64`
6 844×	`lower-*.f32`
6 822×	`lower-*.f64`
1 886×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	482
0	88	409
1	190	401
2	514	379
3	2494	377
4	5682	370
0	8146	359

Stop Event

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

Calls

Call 1

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

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

localize324.0ms (3.3%)

Memory

15.7MiB live, 94.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	1.0	(*.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)))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	57.71915300475118	(-.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 (*.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)))))
accuracy	59.459500952559466	(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	0.4140625	(/.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	0.546875	(pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
accuracy	57.76077049337113	(-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
accuracy	59.459500952559466	(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	1.0	(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
accuracy	1.0050626072870399	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	56.09794407443019	(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
accuracy	0	(neg.f64 x)
accuracy	59.459500952559466	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
accuracy	62.53153892960167	#s(approx (- 1 x) (neg.f64 x))
accuracy	0	(PI.f64)
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	1.0050626072870399	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	56.09794407443019	(fma.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))

Samples

241.0ms	240×	1	valid
5.0ms	16×	0	valid

Compiler

Compiled 492 to 49 computations (90% saved)

Precisions

Click to see histograms. Total time spent on operations: 169.0ms

ival-mult: 39.0ms (23% of total)

ival-pow: 33.0ms (19.5% of total)

adjust: 19.0ms (11.2% of total)

ival-div: 18.0ms (10.6% of total)

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

ival-asin: 9.0ms (5.3% of total)

ival-sub: 9.0ms (5.3% of total)

ival-cbrt: 7.0ms (4.1% of total)

ival-add: 6.0ms (3.5% of total)

ival-pow2: 4.0ms (2.4% of total)

ival-sqrt: 4.0ms (2.4% of total)

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

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

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

exact: 1.0ms (0.6% of total)

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

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

series147.0ms (1.5%)

Memory

-22.5MiB live, 52.3MiB allocated

Counts

23 → 180

Calls

Call 1

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

Outputs
#s(alt (- (* 1/2 (PI)) (asin (- 1 x))) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (patch (fma.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation:binary64>) () ())) ())
#s(alt (- (* 1/2 (PI)) (asin (- 1 x))) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (patch (fma.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation:binary64>) () ())) ())
#s(alt (- (* 1/2 (PI)) (asin (- 1 x))) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (patch (fma.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation:binary64>) () ())) ())
#s(alt (- (* 1/2 (PI)) (asin (- 1 x))) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (patch (fma.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) 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 (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 (- (* 1/2 (* (sqrt (PI)) (fabs (sqrt (PI))))) (asin (- 1 x))) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 (PI.f64)) (.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (patch (fma.f64 (sqrt.f64 (PI.f64)) (.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation:binary64>) () ())) ())
#s(alt (- (* 1/2 (* (sqrt (PI)) (fabs (sqrt (PI))))) (asin (- 1 x))) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 (PI.f64)) (.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (patch (fma.f64 (sqrt.f64 (PI.f64)) (.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation:binary64>) () ())) ())
#s(alt (- (* 1/2 (* (sqrt (PI)) (fabs (sqrt (PI))))) (asin (- 1 x))) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 (PI.f64)) (.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (patch (fma.f64 (sqrt.f64 (PI.f64)) (.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation:binary64>) () ())) ())
#s(alt (- (* 1/2 (* (sqrt (PI)) (fabs (sqrt (PI))))) (asin (- 1 x))) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 (PI.f64)) (.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (patch (fma.f64 (sqrt.f64 (PI.f64)) (.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation:binary64>) () ())) ())
#s(alt (- (* (PI) (+ (acos (- 1 x)) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2)))) (taylor 0 x) (#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 (- (* (PI) (+ (acos (- 1 x)) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2)))) (taylor 0 x) (#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 (- (* (PI) (+ (acos (- 1 x)) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2)))) (taylor 0 x) (#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 (- (* (PI) (+ (acos (- 1 x)) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2)))) (taylor 0 x) (#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 (* 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>) () ())) ())
#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 (- (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))) (taylor 0 x) (#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 (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))) (taylor 0 x) (#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>) () ())) ())
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Calls

3 calls:

Time

Variable

Point

Expression

79.0ms

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

47.0ms

-inf

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

13.0ms

inf

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

simplify199.0ms (2%)

Memory

27.1MiB live, 142.2MiB allocated

Algorithm

1×	egg-herbie

Rules

19 826×	`lower-fma.f64`
19 826×	`lower-fma.f32`
5 202×	`lower-*.f64`
5 202×	`lower-*.f32`
1 462×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	2372
1	192	2372
2	363	2132
3	881	1916
4	4328	1748
0	8199	1640

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

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

rewrite233.0ms (2.3%)

Memory

-11.4MiB live, 271.7MiB allocated

Rules

3 676×	`lower-fma.f32`
3 672×	`lower-fma.f64`
2 926×	`lower-/.f32`
2 920×	`lower-/.f64`
2 778×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	271
0	88	248
1	367	181
2	3059	180
0	8617	175

Stop Event

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

Counts

23 → 1 171

Calls

Call 1

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

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

eval497.0ms (5%)

Memory: 23.5MiB live, 750.2MiB allocated
Compiler: Compiled 119 908 to 9 548 computations (92% saved)

prune130.0ms (1.3%)

Memory

-14.5MiB live, 230.3MiB allocated

Pruning

42 alts after pruning (37 fresh and 5 done)

	Pruned	Kept	Total
New	2 962	25	2 987
Fresh	6	12	18
Picked	3	2	5
Done	0	3	3
Total	2 971	42	3 013

Accuracy

11.0%

Counts

3 013 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	10.7%	(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/4 binary64)) (*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.4%	(fma.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.4%	(fma.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.5%	(fma.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (sqrt.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))))))
✓	10.7%	(fma.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
▶	10.4%	(fma.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	5.3%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.5%	(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.5%	(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	7.6%	(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))
	10.4%	(fma.f64 (.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal 3 binary64))) (.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	5.2%	(fma.f64 (sqrt.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)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.5%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.5%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
✓	5.2%	(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))))
	10.4%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.4%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #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))))))
	10.4%	(fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
▶	7.1%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	5.3%	(/.f64 (-.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (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)))))
	10.4%	(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (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 (.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 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.4%	(/.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.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 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.4%	(/.f64 (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3 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)))))
	5.3%	(/.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) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 8 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)))))
	5.3%	(/.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 (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (-.f64 (hypot.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	7.1%	(/.f64 (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)))
	5.4%	(/.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 (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 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (-.f64 (hypot.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))))
	10.4%	(/.f64 (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (exp.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 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)))))
	8.0%	(/.f64 (-.f64 (.f64 (PI.f64) (.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 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))) (.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
	10.3%	(/.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) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))) (-.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 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	5.2%	(/.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) (.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 #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)))))
	10.3%	(/.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 (.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))) (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)))) (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)))))
▶	10.4%	(/.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 (.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 (sqrt.f64 (PI.f64)) (sqrt.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)))))
	10.4%	(/.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 (.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 (/.f64 #s(literal 2 binary64) (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)))))
	10.4%	(/.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 (.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 (/.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
▶	10.4%	(/.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 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (sqrt.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)))))
	5.3%	(/.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 (/.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))) (/.f64 (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))))) (-.f64 (hypot.f64 (.f64 #s(literal 1/2 binary64) (PI.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))))) #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)))))
	5.3%	(/.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) (/.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))) (/.f64 (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))))) (-.f64 (hypot.f64 (.f64 #s(literal 1/2 binary64) (PI.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))))))))
	7.1%	(-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
✓	7.1%	(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 2 774 to 1 585 computations (42.9% saved)

simplify162.0ms (1.6%)

Memory

16.2MiB live, 54.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	1600	(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
cost-diff	1600	(*.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)))
cost-diff	8384	(/.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 (.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 (sqrt.f64 (PI.f64)) (sqrt.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)))))
cost-diff	12864	(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))
cost-diff	320	(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff	1600	(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))
cost-diff	8384	(/.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 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (sqrt.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)))))
cost-diff	12864	(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 (PI.f64) (PI.f64))
cost-diff	0	(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
cost-diff	0	(fma.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
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	(cbrt.f64 (PI.f64))
cost-diff	0	(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
cost-diff	0	(pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/4 binary64))
cost-diff	0	(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/4 binary64)) (*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))

Rules

11 072×	`lower-fma.f32`
11 064×	`lower-fma.f64`
5 032×	`lower-*.f32`
5 016×	`lower-*.f64`
3 518×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	619
0	94	454
1	195	454
2	431	432
3	2053	428
4	5639	428
0	8465	416

Stop Event

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

Calls

Call 1

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

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

localize298.0ms (3%)

Memory

-8.8MiB live, 108.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.0	(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	57.71915300475118	(-.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 (.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 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
accuracy	59.459500952559466	(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	1.0	(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	57.71915300475118	(-.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 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (sqrt.f64 (PI.f64))) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
accuracy	59.459500952559466	(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	0	(PI.f64)
accuracy	1.0	(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
accuracy	1.0050626072870399	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	56.09794407443019	(fma.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
accuracy	0	(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy	0	(PI.f64)
accuracy	1.0050626072870399	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	57.79252460845141	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
accuracy	1.0	(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
accuracy	1.0	(cbrt.f64 (PI.f64))
accuracy	1.0050626072870399	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	56.09794407443019	(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/4 binary64)) (*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))

Samples

227.0ms	240×	1	valid
6.0ms	16×	0	valid

Compiler

Compiled 636 to 55 computations (91.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 184.0ms

ival-pow: 45.0ms (24.4% of total)

ival-mult: 45.0ms (24.4% of total)

adjust: 21.0ms (11.4% of total)

ival-acos: 12.0ms (6.5% of total)

ival-cbrt: 10.0ms (5.4% of total)

ival-asin: 9.0ms (4.9% of total)

ival-sub: 9.0ms (4.9% of total)

ival-div: 8.0ms (4.3% of total)

ival-pow2: 8.0ms (4.3% of total)

ival-add: 7.0ms (3.8% of total)

ival-sqrt: 3.0ms (1.6% of total)

ival-pi: 2.0ms (1.1% of total)

ival-neg: 2.0ms (1.1% of total)

ival-fabs: 2.0ms (1.1% of total)

exact: 1.0ms (0.5% of total)

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

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

series75.0ms (0.7%)

Memory

27.3MiB live, 67.0MiB allocated

Counts

23 → 132

Calls

Call 1

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

Outputs
#s(alt (- (* 1/2 (* (sqrt (PI)) (fabs (sqrt (PI))))) (asin (- 1 x))) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/4 binary64)) (.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (patch (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/4 binary64)) (.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation:binary64>) () ())) ())
#s(alt (- (* 1/2 (* (sqrt (PI)) (fabs (sqrt (PI))))) (asin (- 1 x))) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/4 binary64)) (.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (patch (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/4 binary64)) (.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation:binary64>) () ())) ())
#s(alt (- (* 1/2 (* (sqrt (PI)) (fabs (sqrt (PI))))) (asin (- 1 x))) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/4 binary64)) (.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (patch (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/4 binary64)) (.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation:binary64>) () ())) ())
#s(alt (- (* 1/2 (* (sqrt (PI)) (fabs (sqrt (PI))))) (asin (- 1 x))) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/4 binary64)) (.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (patch (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/4 binary64)) (.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation:binary64>) () ())) ())
#s(alt (- (* 1/2 (PI)) (asin (- 1 x))) (taylor 0 x) (#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 (- (* 1/2 (PI)) (asin (- 1 x))) (taylor 0 x) (#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 (- (* 1/2 (PI)) (asin (- 1 x))) (taylor 0 x) (#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 (- (* 1/2 (PI)) (asin (- 1 x))) (taylor 0 x) (#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 (* -1 (asin (- 1 x))) (taylor 0 x) (#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 (* -1 (asin (- 1 x))) (taylor 0 x) (#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 (* -1 (asin (- 1 x))) (taylor 0 x) (#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 (* -1 (asin (- 1 x))) (taylor 0 x) (#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 (- 1 x)) (taylor 0 x) (#s(alt (asin.f64 (-.f64 #s(literal 1 binary64) x)) (patch (asin.f64 (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (asin (- 1 x)) (taylor 0 x) (#s(alt (asin.f64 (-.f64 #s(literal 1 binary64) x)) (patch (asin.f64 (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (asin (- 1 x)) (taylor 0 x) (#s(alt (asin.f64 (-.f64 #s(literal 1 binary64) x)) (patch (asin.f64 (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (asin (- 1 x)) (taylor 0 x) (#s(alt (asin.f64 (-.f64 #s(literal 1 binary64) x)) (patch (asin.f64 (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (- (* 1/2 (PI)) (asin (- 1 x))) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (patch (fma.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation:binary64>) () ())) ())
#s(alt (- (* 1/2 (PI)) (asin (- 1 x))) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (patch (fma.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation:binary64>) () ())) ())
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#s(alt (- (+ (acos (+ 1 (* -1 x))) (* 1/2 (PI))) (* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (+ 1 (* -1 x))) 2)) (PI)))) (taylor -inf x) (#s(alt (-.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 (.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 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (patch (-.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 (.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 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) #<representation:binary64>) () ())) ())
#s(alt (- (+ (acos (+ 1 (* -1 x))) (* 1/2 (PI))) (* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (+ 1 (* -1 x))) 2)) (PI)))) (taylor -inf x) (#s(alt (-.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 (.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 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (patch (-.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 (.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 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) #<representation:binary64>) () ())) ())
#s(alt (- (+ (acos (+ 1 (* -1 x))) (* 1/2 (PI))) (* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (+ 1 (* -1 x))) 2)) (PI)))) (taylor -inf x) (#s(alt (-.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 (.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 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (patch (-.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 (.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 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) #<representation:binary64>) () ())) ())
#s(alt (- (+ (acos (+ 1 (* -1 x))) (* 1/2 (PI))) (* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (+ 1 (* -1 x))) 2)) (PI)))) (taylor -inf x) (#s(alt (-.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 (.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 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (patch (-.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 (.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 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) #<representation:binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

23.0ms

inf

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

22.0ms

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

22.0ms

-inf

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

simplify137.0ms (1.4%)

Memory

11.4MiB live, 49.7MiB allocated

Algorithm

1×	egg-herbie

Rules

12 786×	`lower-fma.f64`
12 786×	`lower-fma.f32`
3 150×	`lower-*.f64`
3 150×	`lower-*.f32`
1 576×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	2112
1	118	2112
2	204	1944
3	494	1848
4	1638	1560
5	5444	1560
0	8129	1452

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

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

rewrite396.0ms (4%)

Memory

-45.4MiB live, 246.3MiB allocated

Rules

5 890×	`lower-*.f32`
5 876×	`lower-*.f64`
3 492×	`lower-fma.f32`
3 486×	`lower-fma.f64`
2 882×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	292
0	94	199
1	390	111
2	2652	109
0	10686	106

Stop Event

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

Counts

23 → 2 457

Calls

Call 1

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

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

eval1.2s (12.4%)

Memory: -86.9MiB live, 755.8MiB allocated
Compiler: Compiled 302 399 to 17 587 computations (94.2% saved)

prune178.0ms (1.8%)

Memory

23.5MiB live, 262.3MiB allocated

Pruning

47 alts after pruning (41 fresh and 6 done)

	Pruned	Kept	Total
New	5 408	17	5 425
Fresh	8	24	32
Picked	3	2	5
Done	1	4	5
Total	5 420	47	5 467

Accuracy

11.0%

Counts

5 467 → 47

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.2%	(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))))
	10.7%	(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/4 binary64)) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.4%	(fma.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.4%	(fma.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.5%	(fma.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (sqrt.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))))))
✓	10.7%	(fma.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.4%	(fma.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
✓	10.4%	(fma.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.5%	(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.5%	(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	7.6%	(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))
	10.4%	(fma.f64 (.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal 3 binary64))) (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	5.3%	(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	5.2%	(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))))
	5.2%	(fma.f64 (sqrt.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)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.5%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.4%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.4%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #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))))))
	10.4%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.5%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
	7.1%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
✓	7.1%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	5.3%	(/.f64 (-.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (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)))))
	10.4%	(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (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 (.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 (sqrt.f64 (PI.f64)) (sqrt.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)))))
	10.4%	(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (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 (.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 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.4%	(/.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.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))) (.f64 (sqrt.f64 (PI.f64)) (sqrt.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)))))
	10.4%	(/.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.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 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.4%	(/.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (sqrt.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)))))
	10.4%	(/.f64 (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3 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)))))
	5.3%	(/.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 (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (-.f64 (hypot.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	7.1%	(/.f64 (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)))
	5.4%	(/.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 (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 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (-.f64 (hypot.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))))
	10.4%	(/.f64 (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (exp.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 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)))))
	8.0%	(/.f64 (-.f64 (.f64 (PI.f64) (.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 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))) (.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
	10.3%	(/.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) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))) (-.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))) (.f64 (sqrt.f64 (PI.f64)) (sqrt.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)))))
	10.3%	(/.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) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))) (-.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 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	5.2%	(/.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) (.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 #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)))))
	10.3%	(/.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) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 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))) (.f64 (sqrt.f64 (PI.f64)) (sqrt.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)))))
	10.4%	(/.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 (.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 (sqrt.f64 (PI.f64)) (sqrt.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) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.4%	(/.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 (.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 (/.f64 #s(literal 2 binary64) (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)))))
	10.4%	(/.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 (.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 (/.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.4%	(/.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 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (PI.f64)) (sqrt.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)))))
	5.3%	(/.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 (/.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))) (/.f64 (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))))) (-.f64 (hypot.f64 (.f64 #s(literal 1/2 binary64) (PI.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))))) #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)))))
	5.3%	(/.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) (/.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))) (/.f64 (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))))) (-.f64 (hypot.f64 (.f64 #s(literal 1/2 binary64) (PI.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))))))))
✓	7.1%	(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 4 358 to 1 259 computations (71.1% saved)

regimes60.0ms (0.6%)

Memory

-44.9MiB live, 29.7MiB allocated

Counts

77 → 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) (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 2 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(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 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (neg.f64 (asin.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))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.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 (sqrt.f64 (PI.f64)) (.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (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 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) #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 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.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 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)))
(/.f64 (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
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(/.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 (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (hypot.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (.f64 #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) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 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))) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (.f64 #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 (.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 (/.f64 #s(literal 2 binary64) (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 (-.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 (.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))) (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (.f64 #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) (/.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))) (/.f64 (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))))) (-.f64 (hypot.f64 (.f64 #s(literal 1/2 binary64) (PI.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))))))))
(/.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 (/.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))) (/.f64 (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))))) (-.f64 (hypot.f64 (.f64 #s(literal 1/2 binary64) (PI.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))))) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (.f64 (PI.f64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))) (.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64)))))))
(/.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) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))) (-.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 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (.f64 #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) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))) (-.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))) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (.f64 (PI.f64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.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 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))) (.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64)))))))
(/.f64 (-.f64 (.f64 (PI.f64) (.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 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))) (.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (hypot.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))

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

Calls

3 calls:

20.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))
18.0ms	x
16.0ms	(-.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
10.7%	1	`x`
10.7%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
10.7%	1	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes10.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

11 → 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) (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 2 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(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 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))

Outputs

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

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
10.5%	1	`x`
10.5%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
10.5%	1	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes9.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated

Counts

10 → 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) (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 2 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(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 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
10.5%	1	`(-.f64 #s(literal 1 binary64) x)`
10.5%	1	`x`
10.5%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes7.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB allocated

Counts

6 → 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) (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 2 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
10.5%	2	`(-.f64 #s(literal 1 binary64) x)`
10.5%	2	`x`
10.5%	2	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes6.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB allocated

Counts

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
9.6%	2	`x`
9.6%	2	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
9.6%	2	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes6.0ms (0.1%)

Memory

-35.0MiB live, 4.9MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
9.6%	2	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
9.6%	2	`(-.f64 #s(literal 1 binary64) x)`
9.6%	2	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes4.0ms (0%)

Memory

3.8MiB 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:

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

Compiler

Compiled 8 to 8 computations (0% saved)

regimes3.0ms (0%)

Memory

3.6MiB live, 3.6MiB 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	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
3.9%	1	`(-.f64 #s(literal 1 binary64) x)`
3.9%	1	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	7.231286501020904e-7

Compiler

Compiled 7 to 8 computations (-14.3% saved)

bsearch16.0ms (0.2%)

Memory

4.4MiB live, 4.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.6933769720472454e-17	2.614523927529258e-13

Samples

10.0ms

128×

valid

Compiler

Compiled 135 to 136 computations (-0.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-acos: 4.0ms (56.7% of total)

adjust: 2.0ms (28.4% of total)

ival-sub: 1.0ms (14.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.6933769720472454e-17	2.614523927529258e-13

Compiler

Compiled 71 to 88 computations (-23.9% saved)

simplify25.0ms (0.2%)

Memory

20.0MiB live, 20.0MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`-commutative-binary64-.f64`
14×	`+-commutative-binary64-+.f64`
14×	`sub-neg-binary64-neg.f64-+.f64--.f64`
12×	`neg-sub0-binary64--.f64-neg.f64`
12×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	135
1	59	135
2	72	135
3	78	135

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(if (<=.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
(if (<=.f64 x #s(literal 8924260225606735/162259276829213363391578010288128 binary64)) (acos.f64 #s(approx (- 1 x) (neg.f64 x))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
(if (<=.f64 x #s(literal 8924260225606735/162259276829213363391578010288128 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
(fma.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (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 #s(literal 2 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(if (<=.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
(if (<=.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (neg.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
(if (<=.f64 x #s(literal 8924260225606735/162259276829213363391578010288128 binary64)) (acos.f64 #s(approx (- 1 x) (neg.f64 x))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
(if (<=.f64 x #s(literal 8924260225606735/162259276829213363391578010288128 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)))

soundness486.0ms (4.9%)

Memory

-25.9MiB live, 13.7MiB allocated

Rules

5 890×	`lower-*.f32`
5 876×	`lower-*.f64`
5 606×	`lower-fma.f32`
5 600×	`lower-fma.f64`
4 910×	`lower-fma.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
0	4	7
0	6	7
1	28	7
2	171	7
3	1385	7
0	9386	7
0	52	318
0	96	296
1	412	278
2	4018	263
0	9636	251
0	49	292
0	94	199
1	390	111
2	2652	109
0	10686	106

Stop Event

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

Compiler

Compiled 319 to 175 computations (45.1% saved)

preprocess51.0ms (0.5%)

Memory: 12.2MiB live, 50.9MiB allocated
Compiler: Compiled 262 to 100 computations (61.8% 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%)

sample2.0s (20.4%)

explain136.0ms (1.4%)

preprocess14.0ms (0.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify18.0ms (0.2%)

localize29.0ms (0.3%)

series1.0ms (0%)

simplify8.0ms (0.1%)

rewrite832.0ms (8.4%)

eval55.0ms (0.6%)

prune43.0ms (0.4%)

simplify191.0ms (1.9%)

localize311.0ms (3.1%)

series67.0ms (0.7%)

simplify209.0ms (2.1%)

rewrite276.0ms (2.8%)

eval721.0ms (7.2%)

prune150.0ms (1.5%)

simplify169.0ms (1.7%)

localize324.0ms (3.3%)

series147.0ms (1.5%)

simplify199.0ms (2%)

rewrite233.0ms (2.3%)

eval497.0ms (5%)

prune130.0ms (1.3%)

simplify162.0ms (1.6%)

localize298.0ms (3%)

series75.0ms (0.7%)

simplify137.0ms (1.4%)

rewrite396.0ms (4%)

eval1.2s (12.4%)

prune178.0ms (1.8%)

regimes60.0ms (0.6%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch16.0ms (0.2%)

bsearch1.0ms (0%)

simplify25.0ms (0.2%)

soundness486.0ms (4.9%)

preprocess51.0ms (0.5%)

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