Metrics for bug323 (missed optimization)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

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)

sample1.9s (36.3%)

Memory

26.1MiB live, 1 873.1MiB allocated; 359ms collecting garbage

Samples

1.0s	3 813×	2	valid
489.0ms	4 260×	1	valid
10.0ms	183×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-acos: 608.0ms (54.2% of total)

adjust: 245.0ms (21.8% of total)

ival-sub: 188.0ms (16.8% of total)

ival-<=: 49.0ms (4.4% of total)

exact: 15.0ms (1.3% of total)

ival-and: 14.0ms (1.2% of total)

ival-assert: 4.0ms (0.4% of total)

Bogosity

explain148.0ms (2.8%)

Memory

-23.5MiB live, 134.8MiB allocated; 25ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
256	-	-	`(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	256	0

Confusion

	Predicted +	Predicted -
+	256	0
-	0	0

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	256	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
1	256

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

67.0ms	260×	1	valid
45.0ms	250×	2	valid
0.0ms	2×	0	valid

Compiler

Compiled 26 to 16 computations (38.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-acos: 56.0ms (72.6% of total)

adjust: 12.0ms (15.6% of total)

ival-sub: 8.0ms (10.4% of total)

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

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

exact: 0.0ms (0% of total)

preprocess236.0ms (4.4%)

Memory

2.1MiB live, 147.7MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	8	11
2	11	11
3	21	11
4	54	9
5	244	9
6	2020	9
7	5277	9
0	4	4
0	6	4
1	8	4
2	11	4
3	21	4
4	54	4
5	243	4
6	2071	4
7	5327	4
0	8471	4

Stop Event

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

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: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	4.8%	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Compiler

Compiled 4 to 4 computations (0% saved)

simplify151.0ms (2.8%)

Memory

23.5MiB live, 108.9MiB allocated; 24ms collecting garbage

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	8	9
2	11	9
3	21	9
4	54	9
5	243	9
6	2071	9
7	5327	9
0	8471	9

Stop Event

1×	iter limit
1×	node limit
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

localize66.0ms (1.2%)

Memory

-42.0MiB live, 108.9MiB allocated; 12ms collecting garbage

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(-.f64 #s(literal 1 binary64) x)
accuracy	60.93191886835894	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Samples

30.0ms	125×	2	valid
29.0ms	130×	1	valid
0.0ms	1×	0	valid

Compiler

Compiled 11 to 6 computations (45.5% saved)

Precisions

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

ival-acos: 22.0ms (66.4% of total)

adjust: 6.0ms (18.1% of total)

ival-sub: 5.0ms (15.1% of total)

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

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

exact: 0.0ms (0% of total)

series1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

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))

simplify142.0ms (2.7%)

Memory

19.5MiB live, 204.1MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	23
1	27	20
2	50	20
3	133	20
4	571	20
5	3127	20
6	6080	20
0	8304	20

Stop Event

1×	iter limit
1×	node limit

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)

rewrite41.0ms (0.8%)

Memory

-10.1MiB live, 35.0MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
0	6	7
1	27	7
0	172	7

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

2 → 11

Calls

Call 1

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

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

eval2.0ms (0%)

Memory: 2.3MiB live, 2.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 193 to 60 computations (68.9% saved)

prune3.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	10	5	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	10	6	16

Accuracy

7.5%

Counts

16 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	4.8%	(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
▶	4.8%	(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
▶	4.8%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
✓	4.8%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
▶	6.7%	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
▶	3.8%	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))

Compiler

Compiled 172 to 98 computations (43% saved)

simplify112.0ms (2.1%)

Memory

32.6MiB live, 80.6MiB allocated; 2ms collecting garbage

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	255
0	47	225
1	91	225
2	271	219
3	928	219
4	3072	219
0	8772	217

Stop Event

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

Calls

Call 1

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

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

localize241.0ms (4.5%)

Memory

-16.1MiB live, 92.5MiB allocated; 124ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.9824600586106522	(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
accuracy	1.0	(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))
accuracy	1.3371870570455562	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	58.3277344098351	(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
accuracy	0.0625	(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy	0.328125	(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
accuracy	1.3371870570455562	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	58.53266875951057	(-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
accuracy	0.0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.0	(PI.f64)
accuracy	1.3371870570455562	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	58.64265096427561	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy	0.3553397775160126	#s(approx (- 1 x) #s(literal 1 binary64))
accuracy	60.93191886835894	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
accuracy	0.0	(neg.f64 x)
accuracy	60.93191886835894	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
accuracy	62.536979711732016	#s(approx (- 1 x) (neg.f64 x))

Samples

131.0ms	255×	1	valid
0.0ms	1×	0	valid

Compiler

Compiled 252 to 25 computations (90.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

adjust: 25.0ms (27.8% of total)

ival-acos: 11.0ms (12.2% of total)

ival-sub: 10.0ms (11.1% of total)

ival-asin: 9.0ms (10% of total)

ival-div: 9.0ms (10% of total)

ival-pow: 9.0ms (10% of total)

ival-mult: 8.0ms (8.9% of total)

ival-add: 6.0ms (6.7% of total)

ival-pi: 2.0ms (2.2% of total)

ival-neg: 1.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series22.0ms (0.4%)

Memory

-34.2MiB live, 10.2MiB allocated; 11ms collecting garbage

Counts

20 → 27

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
13.0ms	x	@	inf	((acos (- 1 x)) (- 1 x) (neg x) (acos (- 1 x)) (- 1 x) (- (/ (PI) 2) (asin (- 1 x))) (/ (PI) 2) (PI) (asin (- 1 x)) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (* (/ (PI) 2) (/ (PI) 2)) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) (/ (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))))) (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (- 1 x) (+ (/ (PI) 2) (asin (- 1 x))) (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3))
4.0ms	x	@	0	((acos (- 1 x)) (- 1 x) (neg x) (acos (- 1 x)) (- 1 x) (- (/ (PI) 2) (asin (- 1 x))) (/ (PI) 2) (PI) (asin (- 1 x)) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (* (/ (PI) 2) (/ (PI) 2)) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) (/ (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))))) (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (- 1 x) (+ (/ (PI) 2) (asin (- 1 x))) (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3))
4.0ms	x	@	-inf	((acos (- 1 x)) (- 1 x) (neg x) (acos (- 1 x)) (- 1 x) (- (/ (PI) 2) (asin (- 1 x))) (/ (PI) 2) (PI) (asin (- 1 x)) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (* (/ (PI) 2) (/ (PI) 2)) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) (/ (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))))) (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (- 1 x) (+ (/ (PI) 2) (asin (- 1 x))) (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3))

Time

Variable

Point

Expression

13.0ms

inf

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

4.0ms

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

4.0ms

-inf

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

simplify103.0ms (1.9%)

Memory

-9.6MiB live, 96.7MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	305
1	110	290
2	306	290
3	685	290
4	1863	290
5	5984	290
0	8093	276

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 27

Calls

Call 1

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

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

rewrite85.0ms (1.6%)

Memory

-0.4MiB live, 139.4MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	204
0	47	129
1	197	129
0	1814	128

Stop Event

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

Counts

20 → 450

Calls

Call 1

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

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

eval75.0ms (1.4%)

Memory: 40.5MiB live, 90.7MiB allocated; 5ms collecting garbage
Compiler: Compiled 27 146 to 1 829 computations (93.3% saved)

prune26.0ms (0.5%)

Memory

-9.6MiB live, 33.5MiB allocated; 9ms collecting garbage

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	588	11	599
Fresh	0	0	0
Picked	3	2	5
Done	0	1	1
Total	591	14	605

Accuracy

8.4%

Counts

605 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	1.0%	(fma.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
▶	8.4%	(fma.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #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 2 binary64)) #s(literal 3 binary64)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
	8.3%	(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	8.3%	(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	8.3%	(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
▶	4.8%	(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	4.8%	(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	4.8%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
▶	2.9%	(-.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
▶	2.9%	(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
✓	4.8%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
✓	6.7%	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
✓	3.8%	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
▶	4.8%	#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 685 to 348 computations (49.2% saved)

simplify127.0ms (2.4%)

Memory

9.7MiB live, 101.2MiB allocated; 9ms collecting garbage

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	448
0	90	430
1	160	422
2	410	422
3	2038	422
4	6427	422
0	8045	422

Stop Event

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

Calls

Call 1

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

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

localize321.0ms (6%)

Memory

-41.2MiB live, 254.0MiB allocated; 46ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.328125	(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
accuracy	1.3371870570455562	(asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
accuracy	1.3371870570455562	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	58.53266875951057	(-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
accuracy	1.0	(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
accuracy	1.0	(cbrt.f64 (PI.f64))
accuracy	1.3371870570455562	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	58.64265096427561	(-.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy	1.0	(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	1.3371870570455562	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	58.64265096427561	(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy	0.0	(PI.f64)
accuracy	0.0	#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
accuracy	1.3371870570455562	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	58.64265096427561	(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy	1.0	(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))
accuracy	1.3371870570455562	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	56.75494235691015	(fma.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #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 2 binary64)) #s(literal 3 binary64)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
accuracy	58.64265096427561	(-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))

Samples

273.0ms

256×

valid

Compiler

Compiled 451 to 49 computations (89.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 209.0ms

adjust: 48.0ms (23% of total)

ival-div: 37.0ms (17.7% of total)

ival-mult: 28.0ms (13.4% of total)

ival-asin: 22.0ms (10.5% of total)

ival-sub: 16.0ms (7.7% of total)

ival-add: 16.0ms (7.7% of total)

ival-pow2: 14.0ms (6.7% of total)

ival-pow: 13.0ms (6.2% of total)

ival-cbrt: 6.0ms (2.9% of total)

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

ival-pi: 3.0ms (1.4% 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)

series24.0ms (0.5%)

Memory

7.9MiB live, 7.9MiB allocated; 0ms collecting garbage

Counts

22 → 16

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

10.0ms

-inf

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

7.0ms

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

6.0ms

inf

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

simplify125.0ms (2.4%)

Memory

34.3MiB live, 34.3MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	332
1	188	332
2	636	330
3	1735	330
4	5788	330
0	8176	310

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 16

Calls

Call 1

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

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

rewrite118.0ms (2.2%)

Memory

-9.8MiB live, 36.8MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	256
0	90	327
1	376	119
0	3205	118

Stop Event

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

Counts

22 → 556

Calls

Call 1

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

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

eval79.0ms (1.5%)

Memory: 18.7MiB live, 64.0MiB allocated; 3ms collecting garbage
Compiler: Compiled 30 514 to 1 930 computations (93.7% saved)

prune38.0ms (0.7%)

Memory

-13.5MiB live, 34.8MiB allocated; 9ms collecting garbage

Pruning

23 alts after pruning (19 fresh and 4 done)

	Pruned	Kept	Total
New	601	17	618
Fresh	4	2	6
Picked	4	1	5
Done	0	3	3
Total	609	23	632

Accuracy

8.6%

Counts

632 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	1.0%	(fma.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (neg.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64))))))
	8.4%	(fma.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #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 2 binary64)) #s(literal 3 binary64)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
	8.4%	(fma.f64 (/.f64 (.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 9 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64)))) (+.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (neg.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64))))))
	1.0%	(fma.f64 (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64)))))
	1.0%	(fma.f64 (/.f64 (neg.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 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64)))))
	8.3%	(/.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64))) (.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64)))))
	8.4%	(/.f64 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64))) (.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
	8.3%	(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
▶	8.4%	(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	4.8%	(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	2.9%	(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	2.9%	(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
▶	2.9%	(-.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
✓	4.8%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
✓	6.7%	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
✓	3.8%	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
	8.4%	#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.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)))))
	2.9%	#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	2.9%	#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
▶	4.8%	#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
▶	8.4%	#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
✓	4.8%	#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
▶	8.4%	#s(approx (+ (* (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (+ (* (asin (- 1 x)) (- (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2))) (/ (neg (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2)))) (fma.f64 (/.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (.f64 (PI.f64) (PI.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 1/4 binary64) (/.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))))))

Compiler

Compiled 1 754 to 892 computations (49.1% saved)

simplify113.0ms (2.1%)

Memory

-13.5MiB live, 32.2MiB allocated; 3ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (.f64 (PI.f64) (PI.f64)))
cost-diff	0	(/.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (.f64 (PI.f64) (PI.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))))
cost-diff	0	(fma.f64 (/.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (.f64 (PI.f64) (PI.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 1/4 binary64) (/.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)))))
cost-diff	0	#s(approx (+ (* (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (+ (* (asin (- 1 x)) (- (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2))) (/ (neg (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2)))) (fma.f64 (/.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (.f64 (PI.f64) (PI.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 1/4 binary64) (/.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))))))
cost-diff	0	(.f64 (pow.f64 (.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
cost-diff	0	(-.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
cost-diff	1	(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
cost-diff	3	(pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 2 binary64))
cost-diff	0	(-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
cost-diff	0	#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
cost-diff	1	(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
cost-diff	7	(*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 (PI.f64) #s(literal 1/2 binary64))
cost-diff	0	(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff	0	#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
cost-diff	0	(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff	1	(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
cost-diff	2	(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
cost-diff	7	(*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	714
0	131	653
1	240	643
2	707	634
3	3162	629
0	8333	627

Stop Event

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

Calls

Call 1

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

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

localize384.0ms (7.2%)

Memory

-14.2MiB live, 129.4MiB allocated; 9ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.0	(pow.f64 (PI.f64) #s(literal 3 binary64))
accuracy	1.3371870570455562	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	58.55482073251184	(fma.f64 (/.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (.f64 (PI.f64) (PI.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 1/4 binary64) (/.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)))))
accuracy	58.64265096427561	(fma.f64 #s(literal -1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	1.0	(cbrt.f64 (PI.f64))
accuracy	1.3371870570455562	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	58.64265096427561	(-.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy	0.90234375	(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
accuracy	0.963222509768442	(*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
accuracy	1.3371870570455562	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	58.64265096427561	(-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
accuracy	0.0	#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
accuracy	0.0234375	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy	58.64265096427561	(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
accuracy	60.93191886835894	(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	0.963222509768442	(*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
accuracy	1.3371870570455562	(asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
accuracy	1.3371870570455562	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	58.53266875951057	(-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))

Samples

309.0ms

256×

valid

Compiler

Compiled 654 to 71 computations (89.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 258.0ms

adjust: 66.0ms (25.5% of total)

ival-mult: 44.0ms (17% of total)

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

ival-asin: 21.0ms (8.1% of total)

ival-add: 21.0ms (8.1% of total)

ival-sub: 20.0ms (7.7% of total)

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

ival-pow2: 13.0ms (5% of total)

ival-acos: 12.0ms (4.6% of total)

ival-sqrt: 7.0ms (2.7% of total)

ival-cbrt: 6.0ms (2.3% of total)

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

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

exact: 1.0ms (0.4% of total)

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

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

series18.0ms (0.3%)

Memory

10.0MiB live, 10.0MiB allocated; 0ms collecting garbage

Counts

27 → 26

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

6.0ms

-inf

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

6.0ms

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

5.0ms

inf

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

simplify105.0ms (2%)

Memory

29.6MiB live, 29.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	558
1	246	558
2	774	554
3	2067	554
4	7089	554
0	8487	518

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 26

Calls

Call 1

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

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

rewrite55.0ms (1%)

Memory

-39.9MiB live, 7.2MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	487
0	131	389
0	549	387

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

27 → 109

Calls

Call 1

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

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

eval22.0ms (0.4%)

Memory: 19.1MiB live, 19.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 11 386 to 672 computations (94.1% saved)

prune29.0ms (0.5%)

Memory

24.1MiB live, 24.1MiB allocated; 0ms collecting garbage

Pruning

24 alts after pruning (20 fresh and 4 done)

	Pruned	Kept	Total
New	182	7	189
Fresh	1	13	14
Picked	5	0	5
Done	0	4	4
Total	188	24	212

Accuracy

8.6%

Counts

212 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	1.0%	(fma.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (neg.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64))))))
	8.4%	(fma.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #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 2 binary64)) #s(literal 3 binary64)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
	8.4%	(fma.f64 (/.f64 (.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 9 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64)))) (+.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (neg.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64))))))
	1.0%	(fma.f64 (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64)))))
	1.0%	(fma.f64 (/.f64 (neg.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 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64)))))
	8.3%	(/.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64))) (.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64)))))
	8.4%	(/.f64 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64))) (.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
	8.3%	(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	8.4%	(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	4.8%	(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	2.9%	(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	2.9%	(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	2.9%	(-.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
✓	4.8%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
✓	6.7%	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
✓	3.8%	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
	8.4%	#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.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)))))
	2.9%	#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	2.9%	#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	8.4%	#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))
✓	4.8%	#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	4.8%	#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(approx (- (/ (PI) 2) (acos (- 1 x))) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
	8.4%	#s(approx (+ (* (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (+ (* (asin (- 1 x)) (- (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2))) (/ (neg (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2)))) (fma.f64 (/.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (.f64 (PI.f64) (PI.f64))) (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) #s(literal 1/4 binary64) (/.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))))))
	8.4%	#s(approx (+ (* (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (+ (* (asin (- 1 x)) (- (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2))) (/ (neg (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2)))) (/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)))) (.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (/.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)))) (.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (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 (.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 #s(literal -1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (-.f64 (/.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)))) (.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (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 (.f64 #s(literal -1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))

Compiler

Compiled 2 839 to 775 computations (72.7% saved)

regimes29.0ms (0.5%)

Memory

-30.8MiB live, 16.2MiB allocated; 1ms collecting garbage

Counts

41 → 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))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(approx (- (/ (PI) 2) (acos (- 1 x))) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.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(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.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 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (+ (* (asin (- 1 x)) (- (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2))) (/ (neg (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2)))) (fma.f64 (/.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (.f64 (PI.f64) (PI.f64))) (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) #s(literal 1/4 binary64) (/.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))))))
(fma.f64 (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64)))))
(fma.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (neg.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64))))))
#s(approx (+ (* (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (+ (* (asin (- 1 x)) (- (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2))) (/ (neg (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2)))) (fma.f64 (/.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (.f64 (PI.f64) (PI.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 1/4 binary64) (/.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))))))
(fma.f64 (/.f64 (neg.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 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #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 2 binary64)) #s(literal 3 binary64)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #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 2 binary64)) #s(literal 3 binary64)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64))) (.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
(/.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64))) (.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64)))))
(fma.f64 (/.f64 (.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 9 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64)))) (+.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (neg.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64))))))
#s(approx (+ (* (/ (pow (/ (PI) 2) 2) (+ (pow (asin (- 1 x)) 3) (pow (/ (PI) 2) 3))) (+ (* (asin (- 1 x)) (- (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2))) (/ (neg (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2)))) (/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)))) (.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (/.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)))) (.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (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 (.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 #s(literal -1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (-.f64 (/.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)))) (.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (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 (.f64 #s(literal -1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))

Outputs

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

Calls

3 calls:

11.0ms	x
7.0ms	(-.f64 #s(literal 1 binary64) x)
7.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
8.4%	1	`(-.f64 #s(literal 1 binary64) x)`
8.4%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
8.4%	1	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes16.0ms (0.3%)

Memory

10.3MiB live, 10.3MiB allocated; 0ms collecting garbage

Counts

23 → 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))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(approx (- (/ (PI) 2) (acos (- 1 x))) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.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(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (pow x 3)) (+ (+ (* x x) x) 1))) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (neg.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.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 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))

Outputs

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

Calls

3 calls:

6.0ms	x
4.0ms	(-.f64 #s(literal 1 binary64) x)
4.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
8.4%	1	`(-.f64 #s(literal 1 binary64) x)`
8.4%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
8.4%	1	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes12.0ms (0.2%)

Memory

8.3MiB live, 8.3MiB allocated; 0ms collecting garbage

Counts

17 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	x
3.0ms	(-.f64 #s(literal 1 binary64) x)
3.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
8.4%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
8.4%	1	`(-.f64 #s(literal 1 binary64) x)`
8.4%	1	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes8.0ms (0.2%)

Memory

6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

Counts

10 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 8 to 8 computations (0% saved)

regimes3.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 8 to 8 computations (0% saved)

simplify54.0ms (1%)

Memory

-35.4MiB live, 12.1MiB allocated; 1ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	140
1	114	140
2	233	140
3	587	140
4	1698	140
5	6543	140

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations221.0ms (4.2%)

Memory

3.0MiB live, 3.0MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 140 to 64 computations (54.3% saved)

preprocess32.0ms (0.6%)

Memory: 21.8MiB live, 21.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 302 to 148 computations (51% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample1.9s (36.3%)

explain148.0ms (2.8%)

preprocess236.0ms (4.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify151.0ms (2.8%)

localize66.0ms (1.2%)

series1.0ms (0%)

simplify142.0ms (2.7%)

rewrite41.0ms (0.8%)

eval2.0ms (0%)

prune3.0ms (0.1%)

simplify112.0ms (2.1%)

localize241.0ms (4.5%)

series22.0ms (0.4%)

simplify103.0ms (1.9%)

rewrite85.0ms (1.6%)

eval75.0ms (1.4%)

prune26.0ms (0.5%)

simplify127.0ms (2.4%)

localize321.0ms (6%)

series24.0ms (0.5%)

simplify125.0ms (2.4%)

rewrite118.0ms (2.2%)

eval79.0ms (1.5%)

prune38.0ms (0.7%)

simplify113.0ms (2.1%)

localize384.0ms (7.2%)

series18.0ms (0.3%)

simplify105.0ms (2%)

rewrite55.0ms (1%)

eval22.0ms (0.4%)

prune29.0ms (0.5%)

regimes29.0ms (0.5%)

regimes16.0ms (0.3%)

regimes12.0ms (0.2%)

regimes8.0ms (0.2%)

regimes3.0ms (0.1%)

simplify54.0ms (1%)

derivations221.0ms (4.2%)

preprocess32.0ms (0.6%)

end0.0ms (0%)

Profiling