Metrics for bug323 (missed optimization)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB 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)

sample3.2s (38%)

Memory

29.7MiB live, 1 366.2MiB allocated

Samples

2.8s	7 974×	1	valid
15.0ms	282×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.9s

ival-sub: 989.0ms (51.1% of total)

ival-acos: 731.0ms (37.8% of total)

adjust: 138.0ms (7.1% of total)

ival-<=: 47.0ms (2.4% of total)

exact: 14.0ms (0.7% of total)

ival-and: 12.0ms (0.6% of total)

ival-assert: 4.0ms (0.2% of total)

Bogosity

explain111.0ms (1.3%)

Memory

-11.4MiB live, 110.6MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	255	0
-	0	1

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	1
1	255

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

52.0ms	500×	1	valid
1.0ms	12×	0	valid

Compiler

Compiled 35 to 20 computations (42.9% saved)

Precisions

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

ival-acos: 20.0ms (55% of total)

ival-sub: 9.0ms (24.8% of total)

adjust: 7.0ms (19.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess16.0ms (0.2%)

Memory

-17.3MiB live, 20.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	15	9
2	27	9
3	49	9
4	68	9
5	90	9
6	104	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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.4%	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Compiler

Compiled 4 to 4 computations (0% saved)

simplify3.0ms (0%)

Memory

3.9MiB live, 3.9MiB 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))

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

localize35.0ms (0.4%)

Memory

18.4MiB live, 54.6MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(-.f64 #s(literal 1 binary64) x)
accuracy	60.527760370208966	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Samples

29.0ms	250×	1	valid
0.0ms	6×	0	valid

Compiler

Compiled 20 to 10 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-acos: 13.0ms (63.5% of total)

ival-sub: 3.0ms (14.7% of total)

adjust: 3.0ms (14.7% 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

1.6MiB live, 1.7MiB allocated

Counts

2 → 7

Calls

Call 1

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

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

Calls

3 calls:

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

simplify7.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	20
1	29	20
2	62	20
3	126	20
4	192	20
5	262	20
6	280	20
0	280	20

Stop Event

1×	iter limit
1×	saturated

Counts

7 → 7

Calls

Call 1

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

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

rewrite322.0ms (3.8%)

Memory

-79.1MiB live, 244.7MiB allocated

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	9393	7

Stop Event

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

Counts

2 → 339

Calls

Call 1

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

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

eval51.0ms (0.6%)

Memory: 17.3MiB live, 52.2MiB allocated
Compiler: Compiled 11 082 to 1 330 computations (88% saved)

prune18.0ms (0.2%)

Memory

-6.2MiB live, 30.9MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	332	11	343
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	332	12	344

Accuracy

8.0%

Counts

344 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.6%	(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))))
▶	3.6%	(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))))
	5.4%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
▶	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) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	5.4%	(/.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)))))))
	5.4%	(/.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 (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)))))
	5.4%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (+.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (+.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
	5.4%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
▶	5.4%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
✓	5.4%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
▶	6.7%	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
▶	3.8%	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))

Compiler

Compiled 718 to 344 computations (52.1% saved)

simplify131.0ms (1.6%)

Memory

11.6MiB live, 95.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	2	(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff	2	(.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
cost-diff	7	(-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
cost-diff	9	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
cost-diff	1	(.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	2	(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff	2	(-.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	7	(/.f64 (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
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	4	(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff	0	#s(approx (- 1 x) #s(literal 1 binary64))
cost-diff	0	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- 1 x) (neg.f64 x))
cost-diff	0	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	438
0	77	432
1	168	424
2	548	363
3	2404	355
4	7583	354
0	8095	341

Stop Event

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

Calls

Call 1

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

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

localize236.0ms (2.8%)

Memory

-9.1MiB live, 223.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.296875	(*.f64 (fma.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	0.6601234043826611	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	59.49024942586456	(-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
accuracy	60.527760370208966	(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	0.3203125	(/.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	0.515625	(pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
accuracy	59.48816170652429	(-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
accuracy	60.527760370208966	(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	0.0	(PI.f64)
accuracy	0.6601234043826611	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	57.49849614844356	(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	0.6260782171768833	#s(approx (- 1 x) #s(literal 1 binary64))
accuracy	60.527760370208966	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
accuracy	0.0	(neg.f64 x)
accuracy	60.527760370208966	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
accuracy	62.54042016499992	#s(approx (- 1 x) (neg.f64 x))

Samples

191.0ms	248×	1	valid
2.0ms	8×	0	valid

Compiler

Compiled 893 to 82 computations (90.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 143.0ms

ival-mult: 46.0ms (32.2% of total)

adjust: 16.0ms (11.2% of total)

ival-sqrt: 16.0ms (11.2% of total)

ival-acos: 14.0ms (9.8% of total)

ival-sub: 11.0ms (7.7% of total)

ival-add: 10.0ms (7% of total)

ival-div: 9.0ms (6.3% of total)

ival-asin: 9.0ms (6.3% of total)

ival-pow2: 6.0ms (4.2% of total)

ival-neg: 3.0ms (2.1% of total)

ival-pi: 2.0ms (1.4% of total)

exact: 1.0ms (0.7% of total)

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

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

series23.0ms (0.3%)

Memory

8.4MiB live, 8.4MiB allocated

Counts

22 → 31

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
8.0ms	x	@	inf	((acos (- 1 x)) (- 1 x) (neg x) (acos (- 1 x)) (- 1 x) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (asin (- 1 x)))) (sqrt (PI)) (PI) (* (sqrt (PI)) 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))))) (- (* (PI) (+ (* 1/2 (PI)) (acos (- 1 x)))) (* 2 (- (* 1/4 (* (PI) (PI))) (pow (acos (- 1 x)) 2)))) (* 2 (+ (* 1/2 (PI)) (acos (- 1 x)))) (* 2 (- (* 1/4 (* (PI) (PI))) (pow (acos (- 1 x)) 2))) (/ (- (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (PI)) (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (* (/ 2 (PI)) (* 2 (+ (* 1/2 (PI)) (asin (- 1 x)))))) (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))) (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* 2 (+ (* 1/2 (PI)) (asin (- 1 x)))) (asin (- 1 x)) (acos (- 1 x)) (pow (acos (- 1 x)) 2) (- (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (PI)) (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))
7.0ms	x	@	0	((acos (- 1 x)) (- 1 x) (neg x) (acos (- 1 x)) (- 1 x) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (asin (- 1 x)))) (sqrt (PI)) (PI) (* (sqrt (PI)) 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))))) (- (* (PI) (+ (* 1/2 (PI)) (acos (- 1 x)))) (* 2 (- (* 1/4 (* (PI) (PI))) (pow (acos (- 1 x)) 2)))) (* 2 (+ (* 1/2 (PI)) (acos (- 1 x)))) (* 2 (- (* 1/4 (* (PI) (PI))) (pow (acos (- 1 x)) 2))) (/ (- (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (PI)) (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (* (/ 2 (PI)) (* 2 (+ (* 1/2 (PI)) (asin (- 1 x)))))) (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))) (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* 2 (+ (* 1/2 (PI)) (asin (- 1 x)))) (asin (- 1 x)) (acos (- 1 x)) (pow (acos (- 1 x)) 2) (- (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (PI)) (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))
7.0ms	x	@	-inf	((acos (- 1 x)) (- 1 x) (neg x) (acos (- 1 x)) (- 1 x) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (asin (- 1 x)))) (sqrt (PI)) (PI) (* (sqrt (PI)) 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))))) (- (* (PI) (+ (* 1/2 (PI)) (acos (- 1 x)))) (* 2 (- (* 1/4 (* (PI) (PI))) (pow (acos (- 1 x)) 2)))) (* 2 (+ (* 1/2 (PI)) (acos (- 1 x)))) (* 2 (- (* 1/4 (* (PI) (PI))) (pow (acos (- 1 x)) 2))) (/ (- (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (PI)) (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (* (/ 2 (PI)) (* 2 (+ (* 1/2 (PI)) (asin (- 1 x)))))) (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))) (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* 2 (+ (* 1/2 (PI)) (asin (- 1 x)))) (asin (- 1 x)) (acos (- 1 x)) (pow (acos (- 1 x)) 2) (- (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (PI)) (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))

Time

Variable

Point

Expression

8.0ms

inf

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

7.0ms

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

7.0ms

-inf

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

simplify136.0ms (1.6%)

Memory

2.6MiB live, 89.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	506
1	254	452
2	541	418
3	1502	348
4	5676	320
0	8284	298

Stop Event

1×	iter limit
1×	node limit

Counts

31 → 31

Calls

Call 1

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

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

rewrite229.0ms (2.7%)

Memory

2.2MiB live, 199.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	290
0	77	284
1	313	257
2	2804	257
0	8213	245

Stop Event

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

Counts

22 → 1 148

Calls

Call 1

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

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

eval286.0ms (3.4%)

Memory: 21.2MiB live, 284.0MiB allocated
Compiler: Compiled 92 500 to 6 807 computations (92.6% saved)

prune92.0ms (1.1%)

Memory

-17.8MiB live, 124.6MiB allocated

Pruning

29 alts after pruning (25 fresh and 4 done)

	Pruned	Kept	Total
New	1 811	23	1 834
Fresh	4	2	6
Picked	2	3	5
Done	0	1	1
Total	1 817	29	1 846

Accuracy

9.4%

Counts

1 846 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.4%	(fma.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) (neg.f64 (.f64 (/.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) #s(literal 1 binary64))))
▶	3.6%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	9.0%	(fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
▶	9.1%	(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	6.7%	(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 #s(approx (- 1 x) (neg.f64 x)))))
	3.6%	(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))))
	9.0%	(fma.f64 (sqrt.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	9.0%	(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))))))
	9.0%	(fma.f64 (sqrt.f64 (PI.f64)) (.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))))))
✓	3.6%	(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))))
▶	5.4%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
▶	9.1%	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 2 binary64) (PI.f64))))
	9.0%	(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 #s(literal -2 binary64) (PI.f64)) (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	9.0%	(/.f64 (fma.f64 (PI.f64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (.f64 #s(literal 2 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))
	5.4%	(/.f64 (fma.f64 #s(literal -2 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))) (PI.f64))) (fma.f64 #s(literal 2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)))
	9.1%	(/.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (PI.f64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))) (.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	9.0%	(/.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) #s(literal 2 binary64)) (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64))))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	9.0%	(/.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 3 binary64))))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	3.6%	(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	8.9%	(/.f64 (-.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	8.9%	(/.f64 (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	8.9%	(/.f64 (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	9.0%	(/.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 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	8.9%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	5.4%	(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
✓	5.4%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
✓	6.7%	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
✓	3.8%	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
	5.4%	#s(approx (/ (- (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (PI)) (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (* (/ 2 (PI)) (* 2 (+ (* 1/2 (PI)) (asin (- 1 x)))))) (.f64 (.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (PI.f64)))) #s(literal 1/4 binary64)) (PI.f64)))

Compiler

Compiled 2 157 to 1 016 computations (52.9% saved)

simplify157.0ms (1.9%)

Memory

-1.9MiB live, 105.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	2	(+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
cost-diff	2	(.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
cost-diff	4	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 2 binary64) (PI.f64))))
cost-diff	5	(*.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
cost-diff	2	(neg.f64 (.f64 (/.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) #s(literal 1 binary64)))
cost-diff	6	(-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff	16	(/.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)))
cost-diff	22	(fma.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) (neg.f64 (.f64 (/.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) #s(literal 1 binary64))))
cost-diff	0	(PI.f64)
cost-diff	0	(cbrt.f64 (PI.f64))
cost-diff	0	(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
cost-diff	6	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff	0	(asin.f64 (-.f64 #s(literal 1 binary64) x))
cost-diff	0	(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
cost-diff	0	(PI.f64)
cost-diff	0	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff	0	(*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))
cost-diff	0	(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))
cost-diff	0	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))))
cost-diff	0	(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	556
0	92	431
1	180	423
2	373	405
3	1140	356
4	4233	345
0	8213	343

Stop Event

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

Calls

Call 1

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

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

localize332.0ms (3.9%)

Memory

-1.8MiB live, 283.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.30859375	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 2 binary64) (PI.f64))))
accuracy	0.6601234043826611	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	0.9873237793053261	(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
accuracy	60.66841680597402	(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))
accuracy	0.296875	(*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy	0.6601234043826611	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	59.4510825007886	(fma.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) (neg.f64 (.f64 (/.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) #s(literal 1 binary64))))
accuracy	60.527760370208966	(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	0.6601234043826611	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	1.0	(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
accuracy	1.0	(cbrt.f64 (PI.f64))
accuracy	57.37949919817588	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
accuracy	0.0	(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy	0.0	(PI.f64)
accuracy	0.6601234043826611	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	59.48294941712787	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
accuracy	0.0	(PI.f64)
accuracy	0.6601234043826611	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	57.49849614844356	(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))

Samples

222.0ms	248×	1	valid
3.0ms	8×	0	valid

Compiler

Compiled 1 141 to 100 computations (91.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 177.0ms

ival-mult: 54.0ms (30.6% of total)

adjust: 23.0ms (13% of total)

ival-add: 18.0ms (10.2% of total)

ival-asin: 14.0ms (7.9% of total)

ival-acos: 14.0ms (7.9% of total)

ival-div: 11.0ms (6.2% of total)

ival-sqrt: 10.0ms (5.7% of total)

ival-pow2: 9.0ms (5.1% of total)

ival-sub: 7.0ms (4% of total)

ival-pow: 5.0ms (2.8% of total)

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

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

ival-pi: 3.0ms (1.7% of total)

exact: 1.0ms (0.6% of total)

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

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

series22.0ms (0.3%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

24 → 29

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

10.0ms

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

6.0ms

-inf

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

5.0ms

inf

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

simplify181.0ms (2.1%)

Memory

5.1MiB live, 40.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	429
1	212	425
2	390	409
3	782	403
4	1778	395
5	4744	395
0	8661	371

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 29

Calls

Call 1

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

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

rewrite198.0ms (2.3%)

Memory

-10.5MiB live, 71.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	356
0	92	300
1	406	261
2	3376	253
0	8639	252

Stop Event

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

Counts

24 → 883

Calls

Call 1

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

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

eval370.0ms (4.4%)

Memory: 26.8MiB live, 252.4MiB allocated
Compiler: Compiled 81 538 to 6 241 computations (92.3% saved)

prune84.0ms (1%)

Memory

-23.3MiB live, 142.7MiB allocated

Pruning

44 alts after pruning (38 fresh and 6 done)

	Pruned	Kept	Total
New	1 788	21	1 809
Fresh	3	17	20
Picked	2	3	5
Done	1	3	4
Total	1 794	44	1 838

Accuracy

9.5%

Counts

1 838 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	9.0%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
▶	3.6%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))
✓	3.6%	(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))))
	1.7%	(fma.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (neg.f64 (.f64 (PI.f64) (PI.f64))))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (neg.f64 (PI.f64))) (/.f64 (neg.f64 (fma.f64 (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))))
▶	9.0%	(fma.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	8.9%	(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
	9.1%	(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
	9.0%	(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (.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))))))
▶	9.1%	(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (/.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 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
✓	9.1%	(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	3.6%	(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))))
	8.9%	(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	6.7%	(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 #s(approx (- 1 x) (neg.f64 x)))))
	3.6%	(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))))
	9.0%	(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))))))
	9.0%	(fma.f64 (sqrt.f64 (PI.f64)) (.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))))))
	8.9%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
▶	5.4%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
	9.0%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
	5.4%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (/.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 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
✓	5.4%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	8.9%	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 2 binary64) (PI.f64))))
	9.1%	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (PI.f64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 2 binary64) (PI.f64))))
	9.0%	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (PI.f64)) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 2 binary64) (PI.f64))))
	3.6%	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 2 binary64) (PI.f64))))
	9.1%	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 2 binary64) (PI.f64))))
▶	9.1%	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 2 binary64) (PI.f64))))
	9.0%	(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 #s(literal -2 binary64) (PI.f64)) (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	9.0%	(/.f64 (fma.f64 (PI.f64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (.f64 #s(literal 2 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))
	5.4%	(/.f64 (fma.f64 #s(literal -2 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))) (PI.f64))) (fma.f64 #s(literal 2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)))
	9.1%	(/.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (PI.f64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))) (.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	9.0%	(/.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) #s(literal 2 binary64)) (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64))))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	9.0%	(/.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 3 binary64))))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	3.6%	(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	8.9%	(/.f64 (-.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	8.9%	(/.f64 (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	8.9%	(/.f64 (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	9.0%	(/.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 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	8.9%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
✓	5.4%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
✓	6.7%	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
✓	3.8%	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
	5.4%	#s(approx (/ (- (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (PI)) (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (* (/ 2 (PI)) (* 2 (+ (* 1/2 (PI)) (asin (- 1 x)))))) (.f64 (.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (PI.f64)))) #s(literal 1/4 binary64)) (PI.f64)))
	9.0%	#s(approx (+ (* (* (sqrt (* 2 (sqrt (PI)))) (sqrt (* 1/2 (sqrt (PI))))) (* (sqrt (PI)) 1/2)) (neg (asin (- 1 x)))) (neg.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))

Compiler

Compiled 3 174 to 1 640 computations (48.3% saved)

simplify107.0ms (1.3%)

Memory

26.2MiB live, 104.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	2	(+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
cost-diff	2	(.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
cost-diff	4	(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff	5	(*.f64 #s(literal 0 binary64) (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	3	(pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
cost-diff	6	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))
cost-diff	0	(pow.f64 (PI.f64) #s(literal 1/4 binary64))
cost-diff	0	(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	(.f64 (.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))))
cost-diff	0	(fma.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (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	(acos.f64 (-.f64 #s(literal 1 binary64) x))
cost-diff	0	(fma.f64 (PI.f64) #s(literal -1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
cost-diff	0	(PI.f64)
cost-diff	6	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff	0	(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))
cost-diff	0	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))))
cost-diff	0	(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (/.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 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
cost-diff	2	(neg.f64 (/.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 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	611
0	116	516
1	223	475
2	440	473
3	1297	473
4	4545	473
0	8080	469

Stop Event

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

Calls

Call 1

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

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

localize376.0ms (4.5%)

Memory

-36.4MiB live, 256.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.9873237793053261	(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	60.527760370208966	(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	60.66841680597402	(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))
accuracy	0.953125	(pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
accuracy	1.0	(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
accuracy	1.0	(cbrt.f64 (PI.f64))
accuracy	57.37949919817588	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))
accuracy	0.6601234043826611	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	1.0	(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	57.49849614844356	(fma.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (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	0.0	(PI.f64)
accuracy	0.01953125	(fma.f64 (PI.f64) #s(literal -1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy	59.48294941712787	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
accuracy	60.527760370208966	(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	0.515625	(pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	57.49849614844356	(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (/.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 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
accuracy	60.527760370208966	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Samples

290.0ms	248×	1	valid
4.0ms	8×	0	valid

Compiler

Compiled 1 242 to 126 computations (89.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 241.0ms

ival-mult: 56.0ms (23.2% of total)

adjust: 46.0ms (19.1% of total)

ival-add: 24.0ms (10% of total)

ival-pow2: 23.0ms (9.5% of total)

ival-pow: 20.0ms (8.3% of total)

ival-sqrt: 17.0ms (7.1% of total)

ival-acos: 14.0ms (5.8% of total)

ival-div: 10.0ms (4.2% of total)

ival-asin: 9.0ms (3.7% of total)

ival-neg: 9.0ms (3.7% of total)

ival-sub: 7.0ms (2.9% of total)

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

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

exact: 1.0ms (0.4% of total)

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

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

series12.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated

Counts

25 → 27

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

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

4.0ms

-inf

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

3.0ms

inf

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

simplify192.0ms (2.3%)

Memory

-9.5MiB live, 61.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	311
1	147	311
2	223	311
3	356	307
4	752	307
5	2172	307
6	6758	307
0	8351	289

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 27

Calls

Call 1

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

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

rewrite154.0ms (1.8%)

Memory

37.7MiB live, 75.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	266
0	106	191
1	449	119
2	3668	114
0	8584	112

Stop Event

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

Counts

25 → 1 576

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 1/64 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(.f64 (pow.f64 (/.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (.f64 (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (+.f64 (neg.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))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(.f64 (/.f64 (+.f64 (neg.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 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (+.f64 (neg.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))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.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 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.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 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (.f64 (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -1 binary64)))
(.f64 (+.f64 (neg.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))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(pow.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (.f64 (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 1/64 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) (fma.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))
(/.f64 (.f64 #s(literal -1 binary64) (+.f64 (neg.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)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #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))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (/.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 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (-.f64 (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
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(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64)))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))
(/.f64 (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (+.f64 (neg.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))) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))
(/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (.f64 (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64)))))
(neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(fma.f64 (pow.f64 (/.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/4 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (.f64 (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 (+.f64 (neg.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 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 (+.f64 (neg.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))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/4 binary64)) (pow.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) #s(literal 3/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (+.f64 (neg.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))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)) (pow.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) #s(literal 3/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -6 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64)) (pow.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)) #s(literal 3/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(exp.f64 (-.f64 (.f64 (.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) #s(literal 3 binary64)) (fma.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64) (*.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))))
(exp.f64 (-.f64 (.f64 (.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) #s(literal 3 binary64)) (.f64 (.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 3 binary64))))
(exp.f64 (-.f64 (fma.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64) (.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))
(exp.f64 (-.f64 (.f64 (.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64) (*.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))

eval258.0ms (3.1%)

Memory: -24.3MiB live, 175.6MiB allocated
Compiler: Compiled 64 656 to 5 468 computations (91.5% saved)

prune79.0ms (0.9%)

Memory

17.4MiB live, 96.7MiB allocated

Pruning

52 alts after pruning (43 fresh and 9 done)

	Pruned	Kept	Total
New	1 561	19	1 580
Fresh	9	24	33
Picked	2	3	5
Done	0	6	6
Total	1 572	52	1 624

Accuracy

9.5%

Counts

1 624 → 52

Alt Table

Click to see full alt table

Status	Accuracy	Program
	9.0%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
✓	3.6%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))
✓	3.6%	(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))))
	8.9%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
	1.7%	(fma.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (neg.f64 (.f64 (PI.f64) (PI.f64))))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (neg.f64 (PI.f64))) (/.f64 (neg.f64 (fma.f64 (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))))
	9.1%	(fma.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (.f64 (sqrt.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))))
	8.5%	(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (neg.f64 (/.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)))))))
	9.0%	(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (.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))))))
	8.9%	(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
	8.9%	(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (/.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 #s(literal 1/2 binary64) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
✓	9.1%	(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (/.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 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
✓	9.1%	(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	3.6%	(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))))
	8.9%	(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
	8.9%	(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	6.7%	(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 #s(approx (- 1 x) (neg.f64 x)))))
	9.0%	(fma.f64 (*.f64 #s(literal -1/2 binary64) (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))))
	3.6%	(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))))
	9.0%	(fma.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
	9.0%	(fma.f64 (sqrt.f64 (PI.f64)) (.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))))))
	8.9%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (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))))
	9.0%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal -1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
	3.6%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal -1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
✓	5.4%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
	5.4%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/2 binary64) (PI.f64)))))
✓	5.4%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	8.9%	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 2 binary64) (PI.f64))))
	9.1%	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (PI.f64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 2 binary64) (PI.f64))))
	9.1%	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (PI.f64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 2 binary64) (PI.f64))))
	9.0%	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (PI.f64)) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 2 binary64) (PI.f64))))
	8.5%	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (pow.f64 (/.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.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)))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 2 binary64) (PI.f64))))
	3.6%	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 2 binary64) (PI.f64))))
	9.1%	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 2 binary64) (PI.f64))))
	9.1%	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 2 binary64) (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))))))
	9.1%	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))))
	9.0%	(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 #s(literal -2 binary64) (PI.f64)) (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	9.0%	(/.f64 (fma.f64 (PI.f64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (.f64 #s(literal 2 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))
	5.4%	(/.f64 (fma.f64 #s(literal -2 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))) (PI.f64))) (fma.f64 #s(literal 2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)))
	9.1%	(/.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (PI.f64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))) (.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	9.0%	(/.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) #s(literal 2 binary64)) (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64))))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	9.0%	(/.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 3 binary64))))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	3.6%	(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	8.9%	(/.f64 (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	8.9%	(/.f64 (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	9.0%	(/.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 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	8.9%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
✓	5.4%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
✓	6.7%	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
✓	3.8%	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
	5.4%	#s(approx (/ (- (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (PI)) (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (* (/ 2 (PI)) (* 2 (+ (* 1/2 (PI)) (asin (- 1 x)))))) (.f64 (.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (PI.f64)))) #s(literal 1/4 binary64)) (PI.f64)))
	9.0%	#s(approx (+ (* (* (* (pow (PI) 1/4) (sqrt 2)) (sqrt (* 1/2 (sqrt (PI))))) (* (sqrt (PI)) 1/2)) (neg (asin (- 1 x)))) (neg.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
	9.0%	#s(approx (+ (* (* (sqrt (* 2 (sqrt (PI)))) (sqrt (* 1/2 (sqrt (PI))))) (* (sqrt (PI)) 1/2)) (neg (/ (- (* 1/4 (* (PI) (PI))) (pow (acos (- 1 x)) 2)) (+ (* 1/2 (PI)) (acos (- 1 x)))))) (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (PI.f64) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (PI.f64) (/.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))))))

Compiler

Compiled 4 848 to 1 470 computations (69.7% saved)

regimes56.0ms (0.7%)

Memory

-11.1MiB live, 27.8MiB allocated

Counts

75 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

19.0ms	x
16.0ms	(-.f64 #s(literal 1 binary64) x)
16.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
9.1%	1	`x`
9.1%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
9.1%	1	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes19.0ms (0.2%)

Memory

10.9MiB live, 10.9MiB allocated

Counts

24 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

7.0ms	x
5.0ms	(-.f64 #s(literal 1 binary64) x)
5.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
9.1%	1	`(-.f64 #s(literal 1 binary64) x)`
9.1%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
9.1%	1	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes14.0ms (0.2%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

17 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

5.0ms	x
4.0ms	(-.f64 #s(literal 1 binary64) x)
4.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
9.1%	1	`(-.f64 #s(literal 1 binary64) x)`
9.1%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
9.1%	1	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes15.0ms (0.2%)

Memory

-39.2MiB live, 8.3MiB allocated

Counts

16 → 1

Calls

Call 1

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

Outputs

(fma.f64 (sqrt.f64 (PI.f64)) (*.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))))))

Calls

3 calls:

5.0ms	x
5.0ms	(-.f64 #s(literal 1 binary64) x)
4.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
9.0%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
9.0%	1	`(-.f64 #s(literal 1 binary64) x)`
9.0%	1	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes13.0ms (0.2%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

15 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

5.0ms	x
4.0ms	(-.f64 #s(literal 1 binary64) x)
4.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
9.0%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
9.0%	1	`x`
9.0%	1	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes11.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
9.0%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
9.0%	1	`(-.f64 #s(literal 1 binary64) x)`
9.0%	1	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes10.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB 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) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (-.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) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 #s(approx (- 1 x) (neg.f64 x)))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 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))))
#s(approx (/ (- (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (PI)) (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (* (/ 2 (PI)) (* 2 (+ (* 1/2 (PI)) (asin (- 1 x)))))) (.f64 (.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (PI.f64)))) #s(literal 1/4 binary64)) (PI.f64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal -1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
9.0%	1	`x`
9.0%	1	`(-.f64 #s(literal 1 binary64) x)`
9.0%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes9.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB 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) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (-.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) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 #s(approx (- 1 x) (neg.f64 x)))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 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))))
#s(approx (/ (- (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (PI)) (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (* (/ 2 (PI)) (* 2 (+ (* 1/2 (PI)) (asin (- 1 x)))))) (.f64 (.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (PI.f64)))) #s(literal 1/4 binary64)) (PI.f64)))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
6.7%	1	`x`
6.7%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
6.7%	1	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes3.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 8 to 8 computations (0% saved)

simplify66.0ms (0.8%)

Memory

-30.3MiB live, 9.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	178
1	104	178
2	162	178
3	277	178
4	464	178
5	768	178
6	1564	178
7	4844	178

Stop Event

1×	node limit

Calls

Call 1

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

soundness695.0ms (8.2%)

Memory

9.9MiB live, 9.9MiB allocated

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	9393	7
0	53	266
0	106	191
1	449	119
2	3668	114
0	8584	112
0	66	429
1	212	425
2	390	409
3	782	403
4	1778	395
5	4744	395
0	8661	371
0	14	20
1	29	20
2	62	20
3	126	20
4	192	20
5	262	20
6	280	20
0	280	20
0	46	356
0	92	300
1	406	261
2	3376	253
0	8639	252
0	41	290
0	77	284
1	313	257
2	2804	257
0	8213	245

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

Compiler

Compiled 524 to 239 computations (54.4% saved)

preprocess105.0ms (1.2%)

Memory: 1.6MiB live, 40.0MiB allocated
Compiler: Compiled 380 to 152 computations (60% 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	68	9
5	90	9
6	104	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	68	9
5	90	9
6	104	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%)

sample3.2s (38%)

explain111.0ms (1.3%)

preprocess16.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize35.0ms (0.4%)

series1.0ms (0%)

simplify7.0ms (0.1%)

rewrite322.0ms (3.8%)

eval51.0ms (0.6%)

prune18.0ms (0.2%)

simplify131.0ms (1.6%)

localize236.0ms (2.8%)

series23.0ms (0.3%)

simplify136.0ms (1.6%)

rewrite229.0ms (2.7%)

eval286.0ms (3.4%)

prune92.0ms (1.1%)

simplify157.0ms (1.9%)

localize332.0ms (3.9%)

series22.0ms (0.3%)

simplify181.0ms (2.1%)

rewrite198.0ms (2.3%)

eval370.0ms (4.4%)

prune84.0ms (1%)

simplify107.0ms (1.3%)

localize376.0ms (4.5%)

series12.0ms (0.1%)

simplify192.0ms (2.3%)

rewrite154.0ms (1.8%)

eval258.0ms (3.1%)

prune79.0ms (0.9%)

regimes56.0ms (0.7%)

regimes19.0ms (0.2%)

regimes14.0ms (0.2%)

regimes15.0ms (0.2%)

regimes13.0ms (0.2%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

regimes3.0ms (0%)

simplify66.0ms (0.8%)

soundness695.0ms (8.2%)

preprocess105.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	11
1	15	9
2	27	9
3	49	9
4	68	9
5	90	9
6	104	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