Metrics for bug323 (missed optimization)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample1.5s (22.4%)

Memory

-3.7MiB live, 1 298.8MiB allocated

Samples

1.2s	7 964×	1	valid
15.0ms	292×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 704.0ms

ival-acos: 390.0ms (55.4% of total)

ival-sub: 126.0ms (17.9% of total)

adjust: 114.0ms (16.2% of total)

ival-<=: 45.0ms (6.4% of total)

exact: 14.0ms (2% of total)

ival-and: 11.0ms (1.6% of total)

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

Bogosity

explain84.0ms (1.3%)

Memory

4.7MiB live, 43.4MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`acos.f64`	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`	sensitivity	254	0

Confusion

	Predicted +	Predicted -
+	254	0
-	0	2

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	254	0	0
-	0	0	2

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	2
1	254

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

47.0ms	496×	1	valid
1.0ms	16×	0	valid

Compiler

Compiled 35 to 20 computations (42.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-acos: 19.0ms (58.8% of total)

ival-sub: 6.0ms (18.6% of total)

adjust: 6.0ms (18.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess12.0ms (0.2%)

Memory

7.4MiB live, 7.4MiB 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	67	9
5	89	9
6	102	9
0	4	4
0	6	4
1	10	4
2	14	4
3	19	4
4	26	4
5	34	4
6	44	4
7	55	4
8	58	4
0	58	4

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 4 to 4 computations (0% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 4 to 4 computations (0% saved)

simplify3.0ms (0.1%)

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

localize34.0ms (0.5%)

Memory

-16.7MiB live, 21.6MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(-.f64 #s(literal 1 binary64) x)
accuracy	59.48128252427372	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Samples

28.0ms	248×	1	valid
0.0ms	8×	0	valid

Compiler

Compiled 20 to 10 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-acos: 9.0ms (53.3% of total)

adjust: 4.0ms (23.7% of total)

ival-sub: 3.0ms (17.8% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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))

simplify6.0ms (0.1%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	20
1	29	20
2	62	20
3	113	20
4	171	20
5	239	20
6	259	20
0	259	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)

rewrite151.0ms (2.3%)

Memory

22.5MiB live, 104.2MiB 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	9386	7

Stop Event

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

Counts

2 → 339

Calls

Call 1

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

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

eval45.0ms (0.7%)

Memory: -0.8MiB live, 37.5MiB allocated
Compiler: Compiled 11 082 to 1 330 computations (88% saved)

prune42.0ms (0.6%)

Memory

-8.2MiB live, 30.6MiB allocated

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	328	15	343
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	328	16	344

Accuracy

9.3%

Counts

344 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.2%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
▶	5.2%	(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	7.0%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
▶	7.0%	(/.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)))))
	7.1%	(/.f64 (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	7.0%	(/.f64 (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (+.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (+.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
▶	7.1%	(/.f64 (-.f64 (.f64 (PI.f64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	7.1%	(/.f64 (-.f64 (.f64 (PI.f64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))) (.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))))
▶	7.1%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	7.1%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (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)))))))
	7.0%	(/.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))))))
	7.0%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))))
	7.1%	(/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 #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))))))
✓	7.1%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
	6.8%	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
▶	3.9%	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))

Compiler

Compiled 1 222 to 526 computations (57% saved)

simplify179.0ms (2.8%)

Memory

-24.9MiB live, 111.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)))
cost-diff	0	(.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))))
cost-diff	7296	(-.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))))
cost-diff	14592	(/.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)))))
cost-diff	320	(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff	448	(.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
cost-diff	896	(-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
cost-diff	7296	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
cost-diff	0	(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))
cost-diff	0	(PI.f64)
cost-diff	0	(sqrt.f64 (PI.f64))
cost-diff	1600	(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff	0	#s(approx (- 1 x) #s(literal 1 binary64))
cost-diff	0	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
cost-diff	320	(*.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))))
cost-diff	1024	(.f64 (PI.f64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
cost-diff	6784	(-.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)))))
cost-diff	7552	(-.f64 (.f64 (PI.f64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	595
0	83	579
1	208	555
2	765	474
3	4320	448
0	8358	434

Stop Event

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

Calls

Call 1

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

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

localize284.0ms (4.4%)

Memory

8.0MiB live, 172.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.9453125	(*.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)))
accuracy	0.96875	(.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))))
accuracy	1.2725978080870155	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	57.56453987257418	(-.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))))
accuracy	0.04296875	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
accuracy	0.46875	(pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
accuracy	57.68485766507066	(-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
accuracy	59.48128252427372	(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	0.0	(PI.f64)
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	1.2725978080870155	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	56.05919242106458	(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
accuracy	1.2781235756993266	#s(approx (- 1 x) #s(literal 1 binary64))
accuracy	59.48128252427372	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
accuracy	0.4622650390737681	(.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))))
accuracy	1.2725978080870155	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	57.72474119140602	(-.f64 (.f64 (PI.f64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
accuracy	59.48128252427372	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Samples

231.0ms	236×	1	valid
6.0ms	20×	0	valid

Compiler

Compiled 1 224 to 90 computations (92.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 196.0ms

adjust: 76.0ms (38.9% of total)

ival-mult: 45.0ms (23% of total)

ival-acos: 15.0ms (7.7% of total)

ival-div: 12.0ms (6.1% of total)

ival-sub: 12.0ms (6.1% of total)

ival-asin: 10.0ms (5.1% of total)

ival-pow2: 9.0ms (4.6% of total)

ival-add: 9.0ms (4.6% of total)

ival-sqrt: 3.0ms (1.5% of total)

ival-pi: 2.0ms (1% of total)

ival-neg: 2.0ms (1% of total)

exact: 1.0ms (0.5% of total)

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

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

series31.0ms (0.5%)

Memory

10.4MiB live, 10.4MiB allocated

Counts

23 → 39

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
12.0ms	x	@	-inf	((- (* (PI) (* (/ 2 (PI)) (+ (* 1/2 (PI)) (asin (- 1 x))))) (* 2 (- (* 1 (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ 2 (PI)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (- (* 1 (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ 2 (PI)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))) (* (PI) (* (/ 2 (PI)) (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (PI)) (+ (* 1/2 (PI)) (asin (- 1 x)))) (acos (- 1 x)) (- 1 x) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (asin (- 1 x)))) (sqrt (PI)) (PI) (* (sqrt (PI)) 1/2) (/ (- (* 1 (+ (* 1/2 (PI)) (acos (- 1 x)))) (* (/ 2 (PI)) (- (* 1/4 (* (PI) (PI))) (pow (acos (- 1 x)) 2)))) (* (/ 2 (PI)) (+ (* 1/2 (PI)) (acos (- 1 x))))) (- (* 1 (+ (* 1/2 (PI)) (acos (- 1 x)))) (* (/ 2 (PI)) (- (* 1/4 (* (PI) (PI))) (pow (acos (- 1 x)) 2)))) (* (/ 2 (PI)) (- (* 1/4 (* (PI) (PI))) (pow (acos (- 1 x)) 2))) (* 1 (+ (* 1/2 (PI)) (acos (- 1 x)))) (/ (- (* (* 1/4 (* (PI) (PI))) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (pow (asin (- 1 x)) 2))) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (+ (* 1/2 (PI)) (asin (- 1 x))))) (- (* (* 1/4 (* (PI) (PI))) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (pow (asin (- 1 x)) 2))) (* (* 1/4 (* (PI) (PI))) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 1/4 (* (PI) (PI))) (acos (- 1 x)) (asin (- 1 x)) (* (/ 2 (PI)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x)))) (pow (acos (- 1 x)) 2) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (pow (asin (- 1 x)) 2)))
9.0ms	x	@	inf	((- (* (PI) (* (/ 2 (PI)) (+ (* 1/2 (PI)) (asin (- 1 x))))) (* 2 (- (* 1 (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ 2 (PI)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (- (* 1 (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ 2 (PI)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))) (* (PI) (* (/ 2 (PI)) (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (PI)) (+ (* 1/2 (PI)) (asin (- 1 x)))) (acos (- 1 x)) (- 1 x) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (asin (- 1 x)))) (sqrt (PI)) (PI) (* (sqrt (PI)) 1/2) (/ (- (* 1 (+ (* 1/2 (PI)) (acos (- 1 x)))) (* (/ 2 (PI)) (- (* 1/4 (* (PI) (PI))) (pow (acos (- 1 x)) 2)))) (* (/ 2 (PI)) (+ (* 1/2 (PI)) (acos (- 1 x))))) (- (* 1 (+ (* 1/2 (PI)) (acos (- 1 x)))) (* (/ 2 (PI)) (- (* 1/4 (* (PI) (PI))) (pow (acos (- 1 x)) 2)))) (* (/ 2 (PI)) (- (* 1/4 (* (PI) (PI))) (pow (acos (- 1 x)) 2))) (* 1 (+ (* 1/2 (PI)) (acos (- 1 x)))) (/ (- (* (* 1/4 (* (PI) (PI))) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (pow (asin (- 1 x)) 2))) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (+ (* 1/2 (PI)) (asin (- 1 x))))) (- (* (* 1/4 (* (PI) (PI))) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (pow (asin (- 1 x)) 2))) (* (* 1/4 (* (PI) (PI))) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 1/4 (* (PI) (PI))) (acos (- 1 x)) (asin (- 1 x)) (* (/ 2 (PI)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x)))) (pow (acos (- 1 x)) 2) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (pow (asin (- 1 x)) 2)))
8.0ms	x	@	0	((- (* (PI) (* (/ 2 (PI)) (+ (* 1/2 (PI)) (asin (- 1 x))))) (* 2 (- (* 1 (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ 2 (PI)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (- (* 1 (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ 2 (PI)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))) (* (PI) (* (/ 2 (PI)) (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (PI)) (+ (* 1/2 (PI)) (asin (- 1 x)))) (acos (- 1 x)) (- 1 x) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (asin (- 1 x)))) (sqrt (PI)) (PI) (* (sqrt (PI)) 1/2) (/ (- (* 1 (+ (* 1/2 (PI)) (acos (- 1 x)))) (* (/ 2 (PI)) (- (* 1/4 (* (PI) (PI))) (pow (acos (- 1 x)) 2)))) (* (/ 2 (PI)) (+ (* 1/2 (PI)) (acos (- 1 x))))) (- (* 1 (+ (* 1/2 (PI)) (acos (- 1 x)))) (* (/ 2 (PI)) (- (* 1/4 (* (PI) (PI))) (pow (acos (- 1 x)) 2)))) (* (/ 2 (PI)) (- (* 1/4 (* (PI) (PI))) (pow (acos (- 1 x)) 2))) (* 1 (+ (* 1/2 (PI)) (acos (- 1 x)))) (/ (- (* (* 1/4 (* (PI) (PI))) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (pow (asin (- 1 x)) 2))) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (+ (* 1/2 (PI)) (asin (- 1 x))))) (- (* (* 1/4 (* (PI) (PI))) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (pow (asin (- 1 x)) 2))) (* (* 1/4 (* (PI) (PI))) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 1/4 (* (PI) (PI))) (acos (- 1 x)) (asin (- 1 x)) (* (/ 2 (PI)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x)))) (pow (acos (- 1 x)) 2) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (pow (asin (- 1 x)) 2)))

Time

Variable

Point

Expression

12.0ms

-inf

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

9.0ms

inf

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

8.0ms

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

simplify148.0ms (2.3%)

Memory

2.6MiB live, 39.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	634
1	291	598
2	663	514
3	1872	494
4	5377	494
0	8228	460

Stop Event

1×	iter limit
1×	node limit

Counts

39 → 39

Calls

Call 1

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

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

rewrite339.0ms (5.2%)

Memory

-20.8MiB live, 97.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	345
0	79	321
1	359	301
2	3456	284
0	8559	274

Stop Event

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

Counts

23 → 1 239

Calls

Call 1

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

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

eval523.0ms (8.1%)

Memory: 22.6MiB live, 475.5MiB allocated
Compiler: Compiled 142 650 to 9 198 computations (93.6% saved)

prune93.0ms (1.4%)

Memory

-1.7MiB live, 197.7MiB allocated

Pruning

38 alts after pruning (35 fresh and 3 done)

	Pruned	Kept	Total
New	2 671	32	2 703
Fresh	7	3	10
Picked	3	2	5
Done	0	1	1
Total	2 681	38	2 719

Accuracy

10.5%

Counts

2 719 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	10.2%	(fma.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	5.2%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.1%	(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	7.4%	(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))
	5.2%	(fma.f64 (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.1%	(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))))
	10.1%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.2%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.1%	(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.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))))
	5.2%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
	5.2%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1 binary64)) (PI.f64)))))
✓	5.2%	(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	7.0%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	7.1%	(pow.f64 (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
	10.2%	(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (neg.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)))))
	10.2%	(/.f64 (fma.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (PI.f64) (fma.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (.f64 (PI.f64) (PI.f64)) (.f64 (neg.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)))))
▶	7.1%	(/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (-.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
	5.8%	(/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (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)))))
	5.2%	(/.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))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.1%	(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (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)))))
	3.2%	(/.f64 (-.f64 (.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))) (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	7.1%	(/.f64 (-.f64 (.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.0%	(/.f64 (-.f64 (.f64 (PI.f64) (.f64 (/.f64 #s(literal 2 binary64) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.1%	(/.f64 (-.f64 (.f64 (PI.f64) (.f64 (/.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.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 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	7.0%	(/.f64 (-.f64 (.f64 (PI.f64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	5.2%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
▶	10.1%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (neg.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.1%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (neg.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.1%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.1%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
▶	10.1%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.0%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	7.0%	(-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
	7.1%	(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
✓	7.1%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
▶	6.8%	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
✓	3.9%	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
	7.1%	#s(approx (/ (- (* 1 (+ (* 1/2 (PI)) (acos (- 1 x)))) (* (/ 2 (PI)) (- (* 1/4 (* (PI) (PI))) (pow (acos (- 1 x)) 2)))) (* (/ 2 (PI)) (+ (* 1/2 (PI)) (acos (- 1 x))))) (.f64 (.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (PI.f64) (/.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (PI.f64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (PI.f64)))

Compiler

Compiled 2 534 to 1 288 computations (49.2% saved)

simplify150.0ms (2.3%)

Memory

31.8MiB live, 107.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	320	(*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff	320	(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff	7040	(-.f64 (.f64 #s(literal 1 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)) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (neg.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))
cost-diff	19584	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (neg.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
cost-diff	320	(*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff	320	(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff	1600	(.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
cost-diff	8384	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
cost-diff	0	(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
cost-diff	0	(/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (-.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
cost-diff	128	(-.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
cost-diff	128	(-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- 1 x) (neg.f64 x))
cost-diff	0	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 (PI.f64) (PI.f64))
cost-diff	0	(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
cost-diff	0	(fma.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	485
0	85	469
1	184	434
2	505	404
3	2139	400
4	7241	400
0	8067	388

Stop Event

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

Calls

Call 1

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

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

localize256.0ms (4%)

Memory

-52.8MiB live, 133.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	1.0	(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
accuracy	1.0	(cbrt.f64 (PI.f64))
accuracy	57.68485766507066	(-.f64 (.f64 #s(literal 1 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)) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (neg.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))
accuracy	59.48128252427372	(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	1.0	(.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	57.68485766507066	(-.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 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
accuracy	59.48128252427372	(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	0.0234375	(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
accuracy	0.36328125	(/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (-.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
accuracy	1.2725978080870155	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	57.68219660056456	(-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
accuracy	0.0	(neg.f64 x)
accuracy	59.48128252427372	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
accuracy	62.522333663925686	#s(approx (- 1 x) (neg.f64 x))
accuracy	0.0	(PI.f64)
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	1.2725978080870155	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	56.05919242106458	(fma.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))

Samples

185.0ms	236×	1	valid
7.0ms	20×	0	valid

Compiler

Compiled 982 to 92 computations (90.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 147.0ms

ival-mult: 37.0ms (25.2% of total)

adjust: 17.0ms (11.6% of total)

ival-pow: 15.0ms (10.2% of total)

ival-pow2: 13.0ms (8.9% of total)

ival-sub: 12.0ms (8.2% of total)

ival-div: 11.0ms (7.5% of total)

ival-acos: 11.0ms (7.5% of total)

ival-asin: 9.0ms (6.1% of total)

ival-add: 6.0ms (4.1% of total)

ival-neg: 5.0ms (3.4% of total)

ival-sqrt: 4.0ms (2.7% of total)

ival-cbrt: 4.0ms (2.7% 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)

series81.0ms (1.3%)

Memory

6.8MiB live, 43.0MiB allocated

Counts

23 → 31

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

47.0ms

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

20.0ms

-inf

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

13.0ms

inf

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

simplify148.0ms (2.3%)

Memory

2.8MiB live, 41.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	386
1	208	386
2	387	368
3	862	352
4	2483	312
5	7900	312
0	8947	292

Stop Event

1×	iter limit
1×	node limit

Counts

31 → 31

Calls

Call 1

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

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

rewrite206.0ms (3.2%)

Memory

16.9MiB live, 100.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	255
0	83	233
1	349	189
2	3130	175
0	9060	169

Stop Event

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

Counts

23 → 1 467

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) (PI.f64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) (PI.f64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #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 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) (PI.f64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (neg.f64 (asin.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) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) (PI.f64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) (PI.f64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) (PI.f64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) (PI.f64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)))) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(.f64 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) (PI.f64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) (PI.f64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) #s(literal -1 binary64)))
(.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) (PI.f64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal -1 binary64)))
(*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) (PI.f64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (-.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)))) (neg.f64 (+.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) (PI.f64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (neg.f64 (-.f64 (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) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))) (neg.f64 (+.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) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))))
(/.f64 (neg.f64 (-.f64 (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) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (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) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))))))
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(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64)))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 (PI.f64)))
(pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/9 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2/3 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64))
(pow.f64 (PI.f64) #s(literal 1/3 binary64))
(cbrt.f64 (PI.f64))
(sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(fabs.f64 (cbrt.f64 (PI.f64)))
(exp.f64 (.f64 (.f64 #s(literal 2/3 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 5 binary64))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 (PI.f64)) (PI.f64))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 5 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(.f64 (pow.f64 (.f64 (cbrt.f64 (PI.f64)) (PI.f64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2/3 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (.f64 (cbrt.f64 (PI.f64)) (PI.f64))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (pow.f64 (.f64 (cbrt.f64 (PI.f64)) (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 2/3 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 (PI.f64))))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 2/9 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 4/3 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))
(pow.f64 (PI.f64) #s(literal 2/3 binary64))
(cbrt.f64 (*.f64 (PI.f64) (PI.f64)))
(exp.f64 (.f64 (.f64 #s(literal 2/3 binary64) (log.f64 (PI.f64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2/3 binary64)))
(exp.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 (PI.f64))))

eval297.0ms (4.6%)

Memory: 20.2MiB live, 234.8MiB allocated
Compiler: Compiled 90 605 to 6 913 computations (92.4% saved)

prune75.0ms (1.2%)

Memory

-27.1MiB live, 104.6MiB allocated

Pruning

40 alts after pruning (35 fresh and 5 done)

	Pruned	Kept	Total
New	2 157	15	2 172
Fresh	10	20	30
Picked	3	2	5
Done	0	3	3
Total	2 170	40	2 210

Accuracy

10.6%

Counts

2 210 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.1%	(fma.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.1%	(fma.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.1%	(fma.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
✓	10.2%	(fma.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	5.2%	(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))))
	3.4%	(fma.f64 (/.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)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))
	10.1%	(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	7.4%	(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))
	5.2%	(fma.f64 (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.1%	(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))))
	10.1%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.2%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.1%	(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.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))))
	5.2%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
✓	5.2%	(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
▶	7.0%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	7.1%	(pow.f64 (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
	10.2%	(/.f64 (fma.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (PI.f64) (fma.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (.f64 (PI.f64) (PI.f64)) (.f64 (neg.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)))))
▶	10.2%	(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.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))))
▶	10.1%	(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (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)) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (neg.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.1%	(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.1%	(/.f64 (-.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 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (-.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (PI.f64))))
▶	10.1%	(/.f64 (-.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 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (-.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (PI.f64))))
	5.8%	(/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (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)))))
	5.2%	(/.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))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.1%	(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (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)))))
	3.2%	(/.f64 (-.f64 (.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))) (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.0%	(/.f64 (-.f64 (.f64 (PI.f64) (.f64 (/.f64 #s(literal 2 binary64) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	5.2%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.1%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (neg.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
	10.1%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (/.f64 #s(literal -2 binary64) (PI.f64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.1%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.1%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
▶	10.1%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.1%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
	10.1%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
	10.0%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
✓	7.1%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
✓	6.8%	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
✓	3.9%	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))

Compiler

Compiled 2 512 to 1 367 computations (45.6% saved)

simplify136.0ms (2.1%)

Memory

11.5MiB live, 48.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	1344	(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
cost-diff	1856	(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (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)) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (neg.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
cost-diff	6336	(-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (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)) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (neg.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))
cost-diff	19584	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (neg.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
cost-diff	1600	(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
cost-diff	1600	(.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
cost-diff	1856	(/.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 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
cost-diff	6336	(-.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 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
cost-diff	0	(/.f64 (-.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 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (-.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (PI.f64))))
cost-diff	128	(-.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
cost-diff	128	(-.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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
cost-diff	1600	(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff	0	(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	(asin.f64 (-.f64 #s(literal 1 binary64) x))
cost-diff	0	(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) (PI.f64))))
cost-diff	0	(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.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))))
cost-diff	128	(-.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	627
0	99	523
1	226	522
2	657	496
3	2983	482
0	8122	468

Stop Event

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

Calls

Call 1

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

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

localize295.0ms (4.5%)

Memory

-15.6MiB live, 115.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.0	(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
accuracy	1.0	(cbrt.f64 (PI.f64))
accuracy	57.68485766507066	(-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (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)) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (neg.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))
accuracy	59.48128252427372	(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	1.0	(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	57.68485766507066	(-.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 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
accuracy	59.48128252427372	(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	1.2725978080870155	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	57.68219660056456	(-.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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
accuracy	59.48128252427372	(acos.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	1.2725978080870155	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	57.7635337995434	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
accuracy	0.015625	(-.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
accuracy	0.36328125	(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.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))))
accuracy	1.2725978080870155	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	55.934209728334714	(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) (PI.f64))))

Samples

211.0ms	236×	1	valid
8.0ms	20×	0	valid

Compiler

Compiled 1 278 to 107 computations (91.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 170.0ms

ival-mult: 61.0ms (36% of total)

adjust: 20.0ms (11.8% of total)

ival-div: 14.0ms (8.3% of total)

ival-pow2: 14.0ms (8.3% of total)

ival-sub: 13.0ms (7.7% of total)

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

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

ival-asin: 10.0ms (5.9% of total)

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

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

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

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

exact: 1.0ms (0.6% of total)

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

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

series18.0ms (0.3%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

22 → 32

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

6.0ms

inf

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

6.0ms

-inf

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

6.0ms

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

simplify155.0ms (2.4%)

Memory

17.9MiB live, 52.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	524
1	235	524
2	408	490
3	994	474
4	3427	422
0	8265	402

Stop Event

1×	iter limit
1×	node limit

Counts

32 → 32

Calls

Call 1

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

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

rewrite203.0ms (3.1%)

Memory

-33.9MiB live, 88.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	350
0	99	297
1	452	215
2	4063	190
0	8519	183

Stop Event

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

Counts

22 → 1 469

Calls

Call 1

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

Outputs
(.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))
(.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (PI.f64) #s(literal 1/2 binary64)) (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 3 binary64)) (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (PI.f64) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (PI.f64) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (-.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1/2 binary64) (PI.f64))))
(/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (PI.f64) #s(literal 1/2 binary64)) (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 3 binary64)) (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))))
(neg.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) #s(literal 1/2 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 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (neg.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (neg.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 (neg.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (neg.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 #s(literal -1/2 binary64) (PI.f64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (PI.f64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (neg.f64 (PI.f64)) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (PI.f64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (PI.f64)) (neg.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (PI.f64) #s(literal -1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (PI.f64)) (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)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (PI.f64) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (PI.f64))))
(-.f64 #s(literal 0 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(-.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (PI.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 (fma.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (PI.f64) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(.f64 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #s(literal -1 binary64)))
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(fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (PI.f64) (/.f64 #s(literal 2 binary64) (PI.f64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 2 binary64) (PI.f64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 2 binary64) (PI.f64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (PI.f64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (asin.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) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 2 binary64) (PI.f64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (.f64 (PI.f64) (PI.f64)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 2 binary64) (PI.f64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (PI.f64) (.f64 (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/4 binary64)) (PI.f64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (asin.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)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 #s(literal 0 binary64) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (PI.f64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(+.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) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(pow.f64 (PI.f64) #s(literal 1/2 binary64))
(sqrt.f64 (PI.f64))
(fabs.f64 (neg.f64 (sqrt.f64 (PI.f64))))
(fabs.f64 (sqrt.f64 (PI.f64)))
(exp.f64 (.f64 (.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64)))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 (PI.f64)))
(pow.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/12 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/9 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2/3 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64))
(pow.f64 (PI.f64) #s(literal 1/3 binary64))
(cbrt.f64 (PI.f64))
(sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(fabs.f64 (cbrt.f64 (PI.f64)))
(exp.f64 (.f64 (.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 2/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2/3 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 5 binary64))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 (PI.f64)) (PI.f64))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (.f64 (cbrt.f64 (PI.f64)) (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 (PI.f64))))
(pow.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 2/9 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 4/3 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))
(pow.f64 (PI.f64) #s(literal 2/3 binary64))
(cbrt.f64 (*.f64 (PI.f64) (PI.f64)))
(exp.f64 (.f64 (.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2/3 binary64) (log.f64 (PI.f64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2/3 binary64)))
(exp.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 (PI.f64))))

eval321.0ms (4.9%)

Memory: 38.6MiB live, 255.9MiB allocated
Compiler: Compiled 95 443 to 7 815 computations (91.8% saved)

prune90.0ms (1.4%)

Memory

-9.1MiB live, 119.8MiB allocated

Pruning

44 alts after pruning (38 fresh and 6 done)

	Pruned	Kept	Total
New	2 311	15	2 326
Fresh	7	23	30
Picked	3	2	5
Done	1	4	5
Total	2 322	44	2 366

Accuracy

10.6%

Counts

2 366 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.1%	(fma.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.1%	(fma.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.1%	(fma.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
✓	10.2%	(fma.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	5.2%	(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))))
	9.3%	(fma.f64 (/.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) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))
	3.4%	(fma.f64 (/.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)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))
	10.1%	(fma.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (sqrt.f64 (PI.f64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.1%	(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	7.4%	(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))
	5.2%	(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.1%	(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))))
	5.2%	(fma.f64 (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.1%	(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))))
	10.2%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.1%	(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.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))))
	5.2%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.1%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
	10.1%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
	7.1%	(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))))
✓	7.0%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.2%	(/.f64 (fma.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (PI.f64) (fma.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (.f64 (PI.f64) (PI.f64)) (.f64 (neg.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)))))
	10.2%	(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) (PI.f64)))) (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 (-.f64 #s(literal 1 binary64) x)))))
	10.2%	(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) (PI.f64)))) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.2%	(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) (PI.f64)))) (-.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (cbrt.f64 (PI.f64))) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
	10.1%	(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.1%	(/.f64 (-.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 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (-.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (PI.f64))))
	10.1%	(/.f64 (-.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 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.1%	(/.f64 (-.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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.1%	(/.f64 (-.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 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (-.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))))
	5.8%	(/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (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)))))
	5.2%	(/.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))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.1%	(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (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)))))
	3.2%	(/.f64 (-.f64 (.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))) (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (PI.f64))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.0%	(/.f64 (-.f64 (.f64 (PI.f64) (.f64 (/.f64 #s(literal 2 binary64) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	5.2%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.1%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) (-.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.1%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
✓	10.1%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.1%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
	10.0%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
✓	7.1%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
✓	6.8%	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
✓	3.9%	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))

Compiler

Compiled 4 121 to 1 122 computations (72.8% saved)

regimes53.0ms (0.8%)

Memory

-9.6MiB live, 28.8MiB allocated

Counts

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

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

Calls

3 calls:

20.0ms	x
15.0ms	(-.f64 #s(literal 1 binary64) x)
14.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
10.2%	1	`x`
10.2%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
10.2%	1	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes11.0ms (0.2%)

Memory

7.3MiB live, 7.3MiB allocated

Counts

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
10.2%	1	`x`
10.2%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
10.2%	1	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes9.0ms (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 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (sqrt.f64 (PI.f64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
10.1%	1	`(-.f64 #s(literal 1 binary64) x)`
10.1%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
10.1%	1	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes6.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
10.1%	2	`(-.f64 #s(literal 1 binary64) x)`
10.1%	2	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
10.1%	2	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes6.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
9.3%	2	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
9.3%	2	`(-.f64 #s(literal 1 binary64) x)`
9.3%	2	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes5.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
9.3%	2	`(-.f64 #s(literal 1 binary64) x)`
9.3%	2	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
9.3%	2	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes22.0ms (0.3%)

Memory

-59.2MiB live, 3.8MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

20.0ms	(-.f64 #s(literal 1 binary64) x)
1.0ms	x
1.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

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

Compiler

Compiled 8 to 8 computations (0% saved)

regimes3.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 8 to 8 computations (0% saved)

bsearch13.0ms (0.2%)

Memory

3.3MiB live, 3.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	2.7659465469270343e-17	4.169726642601691e-16

Samples

8.0ms

96×

valid

Compiler

Compiled 163 to 158 computations (3.1% saved)

Precisions

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

ival-acos: 3.0ms (50.8% of total)

ival-sub: 1.0ms (16.9% of total)

adjust: 1.0ms (16.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.7659465469270343e-17	4.169726642601691e-16

Compiler

Compiled 109 to 110 computations (-0.9% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	2.7659465469270343e-17	4.169726642601691e-16

Compiler

Compiled 73 to 80 computations (-9.6% saved)

simplify21.0ms (0.3%)

Memory

18.4MiB live, 18.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	128
1	56	128
2	67	128
3	72	128

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness404.0ms (6.2%)

Memory

7.9MiB live, 7.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	20
1	29	20
2	62	20
3	113	20
4	171	20
5	239	20
6	259	20
0	259	20
0	42	345
0	79	321
1	359	301
2	3456	284
0	8559	274
0	50	350
0	99	297
1	452	215
2	4063	190
0	8519	183
0	4	7
0	6	7
1	28	7
2	171	7
3	1385	7
0	9386	7

Stop Event

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

Compiler

Compiled 326 to 175 computations (46.3% saved)

preprocess77.0ms (1.2%)

Memory: -6.9MiB live, 32.6MiB allocated
Compiler: Compiled 278 to 100 computations (64% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.5s (22.4%)

explain84.0ms (1.3%)

preprocess12.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize34.0ms (0.5%)

series1.0ms (0%)

simplify6.0ms (0.1%)

rewrite151.0ms (2.3%)

eval45.0ms (0.7%)

prune42.0ms (0.6%)

simplify179.0ms (2.8%)

localize284.0ms (4.4%)

series31.0ms (0.5%)

simplify148.0ms (2.3%)

rewrite339.0ms (5.2%)

eval523.0ms (8.1%)

prune93.0ms (1.4%)

simplify150.0ms (2.3%)

localize256.0ms (4%)

series81.0ms (1.3%)

simplify148.0ms (2.3%)

rewrite206.0ms (3.2%)

eval297.0ms (4.6%)

prune75.0ms (1.2%)

simplify136.0ms (2.1%)

localize295.0ms (4.5%)

series18.0ms (0.3%)

simplify155.0ms (2.4%)

rewrite203.0ms (3.1%)

eval321.0ms (4.9%)

prune90.0ms (1.4%)

regimes53.0ms (0.8%)

regimes11.0ms (0.2%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes22.0ms (0.3%)

regimes3.0ms (0%)

bsearch13.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify21.0ms (0.3%)

soundness404.0ms (6.2%)

preprocess77.0ms (1.2%)

end0.0ms (0%)

Profiling

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