Metrics for bug323 (missed optimization)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample1.4s (42.4%)

Memory

65.0MiB live, 1 352.3MiB allocated; 319ms collecting garbage

Samples

734.0ms	3 944×	2	valid
344.0ms	4 141×	1	valid
7.0ms	171×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 785.0ms

ival-acos: 544.0ms (69.3% of total)

adjust: 158.0ms (20.1% of total)

ival-sub!: 83.0ms (10.6% of total)

Bogosity

explain121.0ms (3.7%)

Memory

-1.7MiB live, 106.3MiB allocated; 42ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
253	-	-	`(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	253	2

Confusion

	Predicted +	Predicted -
+	253	0
-	0	3

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	253	0	0
-	0	2	1

Precision?

0.9921568627450981

Recall?

1.0

Freqs

test

number	freq
0	3
1	253

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

46.0ms	254×	1	valid
40.0ms	248×	2	valid
0.0ms	10×	0	valid

Compiler

Compiled 26 to 16 computations (38.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-acos: 57.0ms (81.6% of total)

adjust: 8.0ms (11.5% of total)

ival-sub!: 4.0ms (5.7% of total)

preprocess207.0ms (6.3%)

Memory

14.2MiB live, 153.5MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	10	15
2	13	15
3	25	15
4	66	13
5	283	13
6	2252	13
7	5696	13
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

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.6%	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Compiler

Compiled 4 to 4 computations (0% saved)

series1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Counts

4 → 8

Calls

Call 1

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

Outputs
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (- 1 x))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (+ 1 (* -1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))

Calls

3 calls:

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

rewrite44.0ms (1.4%)

Memory

-3.0MiB live, 43.0MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	77
0	25	72
1	90	71
0	618	71

Stop Event

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

Counts

12 → 35

Calls

Call 1

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

eval4.0ms (0.1%)

Memory: 5.7MiB live, 5.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 337 to 109 computations (67.7% saved)

prune8.0ms (0.2%)

Memory

-36.9MiB live, 9.0MiB allocated; 4ms collecting garbage

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	28	6	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	7	35

Accuracy

9.4%

Counts

35 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.6%	(/.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))))))
▶	6.6%	(/.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))))
▶	6.6%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
✓	6.6%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
▶	7.2%	(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
▶	6.9%	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
▶	3.8%	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))

Compiler

Compiled 196 to 118 computations (39.8% saved)

series9.0ms (0.3%)

Memory

11.7MiB live, 11.7MiB allocated; 0ms collecting garbage

Counts

24 → 31

Calls

Call 1

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

Outputs
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (- 1 x))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* (- (pow x -1) 1) x) #s(hole binary64 1))
#s(approx (* (- (pow x -1) 1) x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- (pow x -1) 1) #s(hole binary64 (/ 1 x)))
#s(approx (- (pow x -1) 1) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (pow x -1) #s(hole binary64 (/ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (- 1 x)))))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (- 1 x))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (- 1 x)) 2))))
#s(approx (* (asin (- 1 x)) (asin (- 1 x))) #s(hole binary64 (pow (asin (- 1 x)) 2)))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (- 1 x)) (* 1/2 (PI)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* (- (pow x -1) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- (pow x -1) 1) x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (pow x -1) 1) #s(hole binary64 -1))
#s(approx (- (pow x -1) 1) #s(hole binary64 (- (/ 1 x) 1)))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (+ 1 (* -1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* (- (pow x -1) 1) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (+ 1 (* -1 x))))))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (+ 1 (* -1 x)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (+ 1 (* -1 x))) 2)) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (+ 1 (* -1 x))) 2))))
#s(approx (* (asin (- 1 x)) (asin (- 1 x))) #s(hole binary64 (pow (asin (+ 1 (* -1 x))) 2)))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((acos (- 1 x)) (- 1 x) (* (- (pow x -1) 1) x) (- (pow x -1) 1) (pow x -1) x -1 1 (acos (- 1 x)) (- 1 x) (acos (- 1 x)) (- 1 x) (neg x) (- (/ (PI) 2) (asin (- 1 x))) (/ (PI) 2) (PI) 2 (asin (- 1 x)) (- 1 x) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x))) (+ (/ (PI) 2) (asin (- 1 x))))
3.0ms	x	@	0	((acos (- 1 x)) (- 1 x) (* (- (pow x -1) 1) x) (- (pow x -1) 1) (pow x -1) x -1 1 (acos (- 1 x)) (- 1 x) (acos (- 1 x)) (- 1 x) (neg x) (- (/ (PI) 2) (asin (- 1 x))) (/ (PI) 2) (PI) 2 (asin (- 1 x)) (- 1 x) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x))) (+ (/ (PI) 2) (asin (- 1 x))))
2.0ms	x	@	inf	((acos (- 1 x)) (- 1 x) (* (- (pow x -1) 1) x) (- (pow x -1) 1) (pow x -1) x -1 1 (acos (- 1 x)) (- 1 x) (acos (- 1 x)) (- 1 x) (neg x) (- (/ (PI) 2) (asin (- 1 x))) (/ (PI) 2) (PI) 2 (asin (- 1 x)) (- 1 x) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x))) (+ (/ (PI) 2) (asin (- 1 x))))

Time

Variable

Point

Expression

3.0ms

-inf

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

3.0ms

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

2.0ms

inf

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

rewrite95.0ms (2.9%)

Memory

4.1MiB live, 99.0MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	628
0	122	474
1	369	471
0	2772	469

Stop Event

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

Counts

55 → 337

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (asin.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) x))) (asin.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) x))) #s(literal 3 binary64))) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 (asin.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) x))) (asin.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) x))) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) x))))
(acos.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) x)))
#s(approx (- 1 x) (.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) x))
(.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) x)
(.f64 x (expm1.f64 (.f64 (log.f64 x) #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) x) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal -2 binary64) (.f64 (neg.f64 x) #s(literal 2 binary64))) (.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64))) (.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(fma.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (pow.f64 x #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(expm1.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 0 binary64)))
(expm1.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(neg.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal -1 binary64))))
x
#s(literal -1 binary64)
#s(literal 1 binary64)
(/.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 (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))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(neg.f64 x)
(*.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 (+.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 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 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))) (fma.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)))) (fma.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))))))))
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(.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 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (/.f64 (PI.f64) #s(literal -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)))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #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)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.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 (neg.f64 (+.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)))) (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)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (*.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 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 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.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)) (*.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 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 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(/.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))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.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 2 binary64)))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #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)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (acos.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)) (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 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #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 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #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))) (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 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (-.f64 #s(literal 1 binary64) x))
#s(approx (* (- (pow x -1) 1) x) #s(literal 1 binary64))
#s(approx (* (- (pow x -1) 1) x) (-.f64 #s(literal 1 binary64) x))
#s(approx (- (pow x -1) 1) (pow.f64 x #s(literal -1 binary64)))
#s(approx (- (pow x -1) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x))
#s(approx (pow x -1) (pow.f64 x #s(literal -1 binary64)))
#s(approx x x)
#s(approx (neg x) (neg.f64 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))))
#s(approx (asin (- 1 x)) (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))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (-.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))))
#s(approx (* (asin (- 1 x)) (asin (- 1 x))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) x))
#s(approx (* (- (pow x -1) 1) x) (neg.f64 x))
#s(approx (* (- (pow x -1) 1) x) (.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) x))
#s(approx (- (pow x -1) 1) #s(literal -1 binary64))
#s(approx (- (pow x -1) 1) (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 x) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) (neg.f64 x)))
#s(approx (* (- (pow x -1) 1) x) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) (neg.f64 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))))
#s(approx (asin (- 1 x)) (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))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (-.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))))
#s(approx (* (asin (- 1 x)) (asin (- 1 x))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))

eval54.0ms (1.7%)

Memory: 13.9MiB live, 100.9MiB allocated; 14ms collecting garbage
Compiler: Compiled 12 848 to 1 429 computations (88.9% saved)

prune35.0ms (1.1%)

Memory

14.0MiB live, 59.9MiB allocated; 5ms collecting garbage

Pruning

28 alts after pruning (25 fresh and 3 done)

	Pruned	Kept	Total
New	427	25	452
Fresh	1	0	1
Picked	3	2	5
Done	0	1	1
Total	431	28	459

Accuracy

10.4%

Counts

459 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.6%	(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 (PI.f64) #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)))))
▶	10.1%	(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.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))))
	2.9%	(/.f64 (/.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)))) (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.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)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.1%	(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (*.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)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
▶	6.7%	(/.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))))
▶	6.6%	(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (exp.f64 (.f64 (log.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 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.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))))
	6.6%	(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	6.6%	(-.f64 (/.f64 (PI.f64) #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))))))
	6.6%	(-.f64 (/.f64 (PI.f64) #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 (+.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 2 binary64) (+.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64))))))
	6.6%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
	10.1%	(-.f64 (/.f64 (PI.f64) #s(literal 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))))
	6.1%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) x))))
	4.8%	(-.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)))
	4.8%	(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
✓	6.6%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
	6.6%	(acos.f64 #s(approx (- 1 x) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) x)))
	4.8%	(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) x)))
	4.3%	(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))) x)))
▶	6.6%	(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) x)))
	4.9%	(acos.f64 #s(approx (- 1 x) (.f64 (-.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)))
	6.1%	(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
	7.2%	(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
	6.1%	(acos.f64 #s(approx (- 1 x) (.f64 (-.f64 (exp.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)) x)))
	6.1%	(acos.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) x)))
✓	6.9%	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
✓	3.8%	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
▶	6.6%	#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 1 173 to 738 computations (37.1% saved)

series89.0ms (2.7%)

Memory

0.2MiB live, 96.8MiB allocated; 18ms collecting garbage

Counts

39 → 73

Calls

Call 1

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

Outputs
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (- x 1)))) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (- x 1))))))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (- 1 x))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (asin (+ -1 x)) #s(hole binary64 (asin (- x 1))))
#s(approx (+ -1 x) #s(hole binary64 -1))
#s(approx (+ -1 x) #s(hole binary64 (- x 1)))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (- 1 x)) (* 1/2 (PI)))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (- 1 x)))))
#s(approx (- (* 1/2 (PI)) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (- 1 x)))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (- 1 x))))
#s(approx (* (- (pow (pow x -1/2) 2) 1) x) #s(hole binary64 1))
#s(approx (* (- (pow (pow x -1/2) 2) 1) x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- (pow (pow x -1/2) 2) 1) #s(hole binary64 (/ 1 x)))
#s(approx (- (pow (pow x -1/2) 2) 1) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (pow (pow x -1/2) 2) #s(hole binary64 (/ 1 x)))
#s(approx (pow x -1/2) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (/ (- 1 (pow x 2)) (+ 1 x))))) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (/ (- 1 (pow x 2)) (+ 1 x)))))))
#s(approx (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x))) #s(hole binary64 (* (asin (- 1 x)) (asin (/ (- 1 (pow x 2)) (+ 1 x))))))
#s(approx (asin (/ (- 1 (* x x)) (+ x 1))) #s(hole binary64 (asin (/ (- 1 (pow x 2)) (+ 1 x)))))
#s(approx (/ (- 1 (* x x)) (+ x 1)) #s(hole binary64 1))
#s(approx (/ (- 1 (* x x)) (+ x 1)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- 1 (* x x)) #s(hole binary64 1))
#s(approx (- 1 (* x x)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (exp (* (log (asin (- 1 x))) 2))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (exp (* (log (asin (- 1 x))) 2))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (- 1 x)) 2))))
#s(approx (exp (* (log (asin (- 1 x))) 2)) #s(hole binary64 (pow (asin (- 1 x)) 2)))
#s(approx (* (log (asin (- 1 x))) 2) #s(hole binary64 (* 2 (log (asin (- 1 x))))))
#s(approx (log (asin (- 1 x))) #s(hole binary64 (log (asin (- 1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ -1 x) #s(hole binary64 x))
#s(approx (+ -1 x) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (* (- (pow (pow x -1/2) 2) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- (pow (pow x -1/2) 2) 1) x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (pow (pow x -1/2) 2) 1) #s(hole binary64 -1))
#s(approx (- (pow (pow x -1/2) 2) 1) #s(hole binary64 (- (/ 1 x) 1)))
#s(approx (/ (- 1 (* x x)) (+ x 1)) #s(hole binary64 (* -1 x)))
#s(approx (/ (- 1 (* x x)) (+ x 1)) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x)))))))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (+ 1 (* -1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (asin (+ -1 x)) #s(hole binary64 (asin (neg (+ 1 (* -1 x))))))
#s(approx (+ -1 x) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (+ 1 (* -1 x))))))
#s(approx (- (* 1/2 (PI)) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (+ 1 (* -1 x))))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (+ 1 (* -1 x)))))
#s(approx (* (- (pow (pow x -1/2) 2) 1) x) #s(hole binary64 (* -1 (* x (+ 1 (/ (pow (sqrt -1) 2) x))))))
#s(approx (- (pow (pow x -1/2) 2) 1) #s(hole binary64 (- (* -1 (/ (pow (sqrt -1) 2) x)) 1)))
#s(approx (pow (pow x -1/2) 2) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) x))))
#s(approx (pow x -1/2) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (asin (/ (- 1 (pow x 2)) (- 1 (* -1 x)))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (asin (/ (- 1 (pow x 2)) (- 1 (* -1 x))))))))
#s(approx (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x))) #s(hole binary64 (* (asin (+ 1 (* -1 x))) (asin (/ (- 1 (pow x 2)) (- 1 (* -1 x)))))))
#s(approx (asin (/ (- 1 (* x x)) (+ x 1))) #s(hole binary64 (asin (/ (- 1 (pow x 2)) (- 1 (* -1 x))))))
#s(approx (/ (- 1 (* x x)) (+ x 1)) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (exp (* (log (asin (- 1 x))) 2))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (+ 1 (* -1 x))) 2)) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (exp (* (log (asin (- 1 x))) 2))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (+ 1 (* -1 x))) 2))))
#s(approx (exp (* (log (asin (- 1 x))) 2)) #s(hole binary64 (pow (asin (+ 1 (* -1 x))) 2)))
#s(approx (* (log (asin (- 1 x))) 2) #s(hole binary64 (* 2 (log (asin (+ 1 (* -1 x)))))))
#s(approx (log (asin (- 1 x))) #s(hole binary64 (log (asin (+ 1 (* -1 x))))))

Calls

3 calls:

Time	Variable		Point	Expression
37.0ms	x	@	0	((/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (asin (- 1 x)) (- 1 x) 1 x (asin (+ -1 x)) (+ -1 x) -1 (pow (/ (PI) 2) 2) (/ (PI) 2) (PI) 2 (+ (/ (PI) 2) (asin (- 1 x))) (- (/ (PI) 2) (asin (- 1 x))) (- (* 1/2 (PI)) (asin (- 1 x))) (* 1/2 (PI)) 1/2 (acos (- 1 x)) (- 1 x) (* (- (pow (pow x -1/2) 2) 1) x) (- (pow (pow x -1/2) 2) 1) (pow (pow x -1/2) 2) (pow x -1/2) -1/2 (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x))) (asin (/ (- 1 (* x x)) (+ x 1))) (/ (- 1 (* x x)) (+ x 1)) (- 1 (* x x)) (* x x) (+ x 1) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (exp (* (log (asin (- 1 x))) 2))) (+ (/ (PI) 2) (asin (- 1 x)))) (- (* (/ (PI) 2) (/ (PI) 2)) (exp (* (log (asin (- 1 x))) 2))) (exp (* (log (asin (- 1 x))) 2)) (* (log (asin (- 1 x))) 2) (log (asin (- 1 x))))
31.0ms	x	@	inf	((/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (asin (- 1 x)) (- 1 x) 1 x (asin (+ -1 x)) (+ -1 x) -1 (pow (/ (PI) 2) 2) (/ (PI) 2) (PI) 2 (+ (/ (PI) 2) (asin (- 1 x))) (- (/ (PI) 2) (asin (- 1 x))) (- (* 1/2 (PI)) (asin (- 1 x))) (* 1/2 (PI)) 1/2 (acos (- 1 x)) (- 1 x) (* (- (pow (pow x -1/2) 2) 1) x) (- (pow (pow x -1/2) 2) 1) (pow (pow x -1/2) 2) (pow x -1/2) -1/2 (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x))) (asin (/ (- 1 (* x x)) (+ x 1))) (/ (- 1 (* x x)) (+ x 1)) (- 1 (* x x)) (* x x) (+ x 1) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (exp (* (log (asin (- 1 x))) 2))) (+ (/ (PI) 2) (asin (- 1 x)))) (- (* (/ (PI) 2) (/ (PI) 2)) (exp (* (log (asin (- 1 x))) 2))) (exp (* (log (asin (- 1 x))) 2)) (* (log (asin (- 1 x))) 2) (log (asin (- 1 x))))
19.0ms	x	@	-inf	((/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (asin (- 1 x)) (- 1 x) 1 x (asin (+ -1 x)) (+ -1 x) -1 (pow (/ (PI) 2) 2) (/ (PI) 2) (PI) 2 (+ (/ (PI) 2) (asin (- 1 x))) (- (/ (PI) 2) (asin (- 1 x))) (- (* 1/2 (PI)) (asin (- 1 x))) (* 1/2 (PI)) 1/2 (acos (- 1 x)) (- 1 x) (* (- (pow (pow x -1/2) 2) 1) x) (- (pow (pow x -1/2) 2) 1) (pow (pow x -1/2) 2) (pow x -1/2) -1/2 (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x))) (asin (/ (- 1 (* x x)) (+ x 1))) (/ (- 1 (* x x)) (+ x 1)) (- 1 (* x x)) (* x x) (+ x 1) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (exp (* (log (asin (- 1 x))) 2))) (+ (/ (PI) 2) (asin (- 1 x)))) (- (* (/ (PI) 2) (/ (PI) 2)) (exp (* (log (asin (- 1 x))) 2))) (exp (* (log (asin (- 1 x))) 2)) (* (log (asin (- 1 x))) 2) (log (asin (- 1 x))))

Time

Variable

Point

Expression

37.0ms

((/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (asin (- 1 x)) (- 1 x) 1 x (asin (+ -1 x)) (+ -1 x) -1 (pow (/ (PI) 2) 2) (/ (PI) 2) (PI) 2 (+ (/ (PI) 2) (asin (- 1 x))) (- (/ (PI) 2) (asin (- 1 x))) (- (* 1/2 (PI)) (asin (- 1 x))) (* 1/2 (PI)) 1/2 (acos (- 1 x)) (- 1 x) (* (- (pow (pow x -1/2) 2) 1) x) (- (pow (pow x -1/2) 2) 1) (pow (pow x -1/2) 2) (pow x -1/2) -1/2 (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x))) (asin (/ (- 1 (* x x)) (+ x 1))) (/ (- 1 (* x x)) (+ x 1)) (- 1 (* x x)) (* x x) (+ x 1) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (exp (* (log (asin (- 1 x))) 2))) (+ (/ (PI) 2) (asin (- 1 x)))) (- (* (/ (PI) 2) (/ (PI) 2)) (exp (* (log (asin (- 1 x))) 2))) (exp (* (log (asin (- 1 x))) 2)) (* (log (asin (- 1 x))) 2) (log (asin (- 1 x))))

31.0ms

inf

((/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (asin (- 1 x)) (- 1 x) 1 x (asin (+ -1 x)) (+ -1 x) -1 (pow (/ (PI) 2) 2) (/ (PI) 2) (PI) 2 (+ (/ (PI) 2) (asin (- 1 x))) (- (/ (PI) 2) (asin (- 1 x))) (- (* 1/2 (PI)) (asin (- 1 x))) (* 1/2 (PI)) 1/2 (acos (- 1 x)) (- 1 x) (* (- (pow (pow x -1/2) 2) 1) x) (- (pow (pow x -1/2) 2) 1) (pow (pow x -1/2) 2) (pow x -1/2) -1/2 (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x))) (asin (/ (- 1 (* x x)) (+ x 1))) (/ (- 1 (* x x)) (+ x 1)) (- 1 (* x x)) (* x x) (+ x 1) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (exp (* (log (asin (- 1 x))) 2))) (+ (/ (PI) 2) (asin (- 1 x)))) (- (* (/ (PI) 2) (/ (PI) 2)) (exp (* (log (asin (- 1 x))) 2))) (exp (* (log (asin (- 1 x))) 2)) (* (log (asin (- 1 x))) 2) (log (asin (- 1 x))))

19.0ms

-inf

((/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (asin (- 1 x)) (- 1 x) 1 x (asin (+ -1 x)) (+ -1 x) -1 (pow (/ (PI) 2) 2) (/ (PI) 2) (PI) 2 (+ (/ (PI) 2) (asin (- 1 x))) (- (/ (PI) 2) (asin (- 1 x))) (- (* 1/2 (PI)) (asin (- 1 x))) (* 1/2 (PI)) 1/2 (acos (- 1 x)) (- 1 x) (* (- (pow (pow x -1/2) 2) 1) x) (- (pow (pow x -1/2) 2) 1) (pow (pow x -1/2) 2) (pow x -1/2) -1/2 (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x))) (asin (/ (- 1 (* x x)) (+ x 1))) (/ (- 1 (* x x)) (+ x 1)) (- 1 (* x x)) (* x x) (+ x 1) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (exp (* (log (asin (- 1 x))) 2))) (+ (/ (PI) 2) (asin (- 1 x)))) (- (* (/ (PI) 2) (/ (PI) 2)) (exp (* (log (asin (- 1 x))) 2))) (exp (* (log (asin (- 1 x))) 2)) (* (log (asin (- 1 x))) 2) (log (asin (- 1 x))))

rewrite67.0ms (2.1%)

Memory

6.0MiB live, 51.2MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	213	1675
0	275	1213
0	853	1203

Stop Event

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

Counts

112 → 228

Calls

Call 1

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

Outputs
(/.f64 (neg.f64 (fma.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (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 (/.f64 (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (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 (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 (.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #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)) (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 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #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)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(fma.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 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (/.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 (fabs.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (fabs.f64 (/.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)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.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 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (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 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 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 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 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(asin.f64 (+.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (+.f64 #s(literal -1 binary64) x)))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (neg.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal -1 binary64) x)
(+.f64 x #s(literal -1 binary64))
#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 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(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))) (+.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 (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 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #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)) (exp (* (log (asin (- 1 x))) 2))) (+ (/ (PI) 2) (asin (- 1 x)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 (.f64 #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))))))
(-.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))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (/ (- 1 (* x x)) (+ x 1)) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))))
(acos.f64 #s(approx (/ (- 1 (* x x)) (+ x 1)) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
#s(approx (/ (- 1 (* x x)) (+ x 1)) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(*.f64 x (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(expm1.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)))
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#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (exp (* (log (asin (- 1 x))) 2))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.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 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (exp (* (log (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))))
#s(approx (exp (* (log (asin (- 1 x))) 2)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
#s(approx (* (log (asin (- 1 x))) 2) (*.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
#s(approx (log (asin (- 1 x))) (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- 1 (* x x)) (+ x 1)) (neg.f64 x))
#s(approx (/ (- 1 (* x x)) (+ x 1)) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (+ -1 x) x)
#s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) x))
#s(approx (* (- (pow (pow x -1/2) 2) 1) x) (neg.f64 x))
#s(approx (* (- (pow (pow x -1/2) 2) 1) x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (- (pow (pow x -1/2) 2) 1) #s(literal -1 binary64))
#s(approx (- (pow (pow x -1/2) 2) 1) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* x x)) (+ x 1)) (neg.f64 x))
#s(approx (/ (- 1 (* x x)) (+ x 1)) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (- 1 (* x x)) (neg.f64 (*.f64 x x)))
#s(approx (- 1 (* x x)) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (+ x 1) x)
#s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))))
#s(approx (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) #s(literal 2 binary64))))
#s(approx (asin (- 1 x)) (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))
#s(approx (/ (- 1 (* x x)) (+ x 1)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (asin (+ -1 x)) (asin.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))
#s(approx (+ -1 x) (*.f64 (neg.f64 x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (exp (* (log (asin (- 1 x))) 2))) (+ (/ (PI) 2) (asin (- 1 x)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))
#s(approx (- (* 1/2 (PI)) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (exp (* (log (asin (- 1 x))) 2))) (+ (/ (PI) 2) (asin (- 1 x)))) (acos.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))
#s(approx (* (- (pow (pow x -1/2) 2) 1) x) (*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
#s(approx (- (pow (pow x -1/2) 2) 1) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(approx (pow (pow x -1/2) 2) (pow.f64 x #s(literal -1 binary64)))
#s(approx (pow x -1/2) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (exp (* (log (asin (- 1 x))) 2))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (exp (* (log (asin (- 1 x))) 2))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) #s(literal 2 binary64))))
#s(approx (exp (* (log (asin (- 1 x))) 2)) (pow.f64 (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) #s(literal 2 binary64)))
#s(approx (asin (- 1 x)) (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))
#s(approx (/ (- 1 (* x x)) (+ x 1)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (exp (* (log (asin (- 1 x))) 2))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (exp (* (log (asin (- 1 x))) 2))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) #s(literal 2 binary64))))
#s(approx (exp (* (log (asin (- 1 x))) 2)) (pow.f64 (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) #s(literal 2 binary64)))
#s(approx (* (log (asin (- 1 x))) 2) (*.f64 (log.f64 (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))) #s(literal 2 binary64)))
#s(approx (log (asin (- 1 x))) (log.f64 (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))

eval172.0ms (5.3%)

Memory: -67.7MiB live, 53.5MiB allocated; 176ms collecting garbage
Compiler: Compiled 9 579 to 952 computations (90.1% saved)

prune36.0ms (1.1%)

Memory

45.3MiB live, 45.3MiB allocated; 0ms collecting garbage

Pruning

39 alts after pruning (34 fresh and 5 done)

	Pruned	Kept	Total
New	313	16	329
Fresh	2	18	20
Picked	3	2	5
Done	0	3	3
Total	318	39	357

Accuracy

10.4%

Counts

357 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.6%	(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 (PI.f64) #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)))))
	8.6%	(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.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 #s(approx (/ (- 1 (* x x)) (+ x 1)) #s(literal 1 binary64)))))
	10.1%	(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #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))))
	2.9%	(/.f64 (/.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)))) (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.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)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.1%	(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (*.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)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	3.0%	(/.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) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (/.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))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
	5.0%	(/.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) (.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 #s(approx (/ (- 1 ( x x)) (+ x 1)) #s(literal 1 binary64)))))
	6.7%	(/.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)))) #s(approx (+ (/ (PI) 2) (asin (- 1 x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
	7.2%	(/.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 #s(approx (/ (- 1 ( x x)) (+ x 1)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
▶	4.9%	(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (asin.f64 (/.f64 #s(approx (- 1 (* x x)) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #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))))
	6.6%	(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (exp.f64 (.f64 (log.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.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))))
	6.6%	(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (exp.f64 (.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))))))
	6.6%	(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (exp.f64 (.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) #s(approx (+ (/ (PI) 2) (asin (- 1 x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
	4.8%	(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.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))))
	6.6%	(-.f64 (/.f64 (PI.f64) #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))))))
	6.6%	(-.f64 (/.f64 (PI.f64) #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 (+.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 2 binary64) (+.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64))))))
	10.1%	(-.f64 (/.f64 (PI.f64) #s(literal 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))))
	6.1%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) x))))
▶	4.8%	(-.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)))
	4.8%	(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
✓	6.6%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
	6.6%	(acos.f64 #s(approx (- 1 x) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) x)))
	4.3%	(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))) x)))
▶	4.8%	(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) x)))
	4.3%	(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))) x)))
✓	6.6%	(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) x)))
	6.7%	(acos.f64 #s(approx (- 1 x) (.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) x)))
	4.9%	(acos.f64 #s(approx (- 1 x) (.f64 (-.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)))
	6.1%	(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
	6.7%	(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64)) #s(literal 1 binary64)) x)))
▶	7.2%	(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
	6.1%	(acos.f64 #s(approx (- 1 x) (.f64 (-.f64 (exp.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)) x)))
	6.1%	(acos.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) x)))
✓	6.9%	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
✓	3.8%	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
	6.6%	#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (exp (* (log (asin (- 1 x))) 2))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.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 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
▶	10.1%	#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (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)))))
	6.6%	#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)))))
✓	6.6%	#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 1 970 to 1 232 computations (37.5% saved)

series55.0ms (1.7%)

Memory

-41.8MiB live, 15.0MiB allocated; 11ms collecting garbage

Counts

48 → 84

Calls

Call 1

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

Outputs
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (- x 1)))) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (/ (+ (* (asin (- x 1)) (asin (- 1 x))) (* (* (PI) (PI)) 1/4)) (+ (* 1/2 (PI)) (asin (- 1 x)))) #s(hole binary64 (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (- x 1)))) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (+ (* (asin (- x 1)) (asin (- 1 x))) (* (* (PI) (PI)) 1/4)) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (- x 1))))))
#s(approx (asin (- x 1)) #s(hole binary64 (asin (- x 1))))
#s(approx (- x 1) #s(hole binary64 -1))
#s(approx (- x 1) #s(hole binary64 (- x 1)))
#s(approx x #s(hole binary64 x))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (- 1 x))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (+ (* 1/2 (PI)) (asin (- 1 x))) #s(hole binary64 (+ (asin (- 1 x)) (* 1/2 (PI)))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (- 1 x))))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 1))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) #s(hole binary64 1))
#s(approx (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ (- (pow x -2) 1) (- (pow x -1) -1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (- (pow x -2) 1) (- (pow x -1) -1)) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (- (pow x -2) 1) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (- (pow x -2) 1) #s(hole binary64 (/ (+ 1 (* -1 (pow x 2))) (pow x 2))))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (- (pow x -1) -1) #s(hole binary64 (/ 1 x)))
#s(approx (- (pow x -1) -1) #s(hole binary64 (/ (+ 1 x) x)))
#s(approx (pow x -1) #s(hole binary64 (/ 1 x)))
#s(approx (- (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (- 1 x)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (/ (- 1 (pow x 2)) (+ 1 x))))) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (/ (- 1 (pow x 2)) (+ 1 x)))))))
#s(approx (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x))) #s(hole binary64 (* (asin (- 1 x)) (asin (/ (- 1 (pow x 2)) (+ 1 x))))))
#s(approx (asin (/ (- 1 (* x x)) (+ x 1))) #s(hole binary64 (asin (/ (- 1 (pow x 2)) (+ 1 x)))))
#s(approx (/ (- 1 (* x x)) (+ x 1)) #s(hole binary64 1))
#s(approx (/ (- 1 (* x x)) (+ x 1)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- 1 (* x x)) #s(hole binary64 1))
#s(approx (- 1 (* x x)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (* (- (pow x -2) 1) (* x x)) #s(hole binary64 1))
#s(approx (* (- (pow x -2) 1) (* x x)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (- 1 x)) (* 1/2 (PI)))))
#s(approx (- x 1) #s(hole binary64 x))
#s(approx (- x 1) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (/ 1 x) 1) #s(hole binary64 -1))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (- (/ 1 x) 1)))
#s(approx (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) #s(hole binary64 (* -1 x)))
#s(approx (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (/ (- (pow x -2) 1) (- (pow x -1) -1)) #s(hole binary64 -1))
#s(approx (/ (- (pow x -2) 1) (- (pow x -1) -1)) #s(hole binary64 (- (/ 1 x) 1)))
#s(approx (- (pow x -2) 1) #s(hole binary64 -1))
#s(approx (- (pow x -2) 1) #s(hole binary64 (- (/ 1 (pow x 2)) 1)))
#s(approx (- (pow x -1) -1) #s(hole binary64 1))
#s(approx (- (pow x -1) -1) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (/ (- 1 (* x x)) (+ x 1)) #s(hole binary64 (* -1 x)))
#s(approx (/ (- 1 (* x x)) (+ x 1)) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1))))
#s(approx (* (- (pow x -2) 1) (* x x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (* (- (pow x -2) 1) (* x x)) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (/ (+ (* (asin (- x 1)) (asin (- 1 x))) (* (* (PI) (PI)) 1/4)) (+ (* 1/2 (PI)) (asin (- 1 x)))) #s(hole binary64 (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (+ (* (asin (- x 1)) (asin (- 1 x))) (* (* (PI) (PI)) 1/4)) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x)))))))
#s(approx (asin (- x 1)) #s(hole binary64 (asin (neg (+ 1 (* -1 x))))))
#s(approx (- x 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (+ 1 (* -1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (+ (* 1/2 (PI)) (asin (- 1 x))) #s(hole binary64 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (+ 1 (* -1 x)))))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (- (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (+ 1 (* -1 x))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (asin (/ (- 1 (pow x 2)) (- 1 (* -1 x)))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (asin (/ (- 1 (pow x 2)) (- 1 (* -1 x))))))))
#s(approx (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x))) #s(hole binary64 (* (asin (+ 1 (* -1 x))) (asin (/ (- 1 (pow x 2)) (- 1 (* -1 x)))))))
#s(approx (asin (/ (- 1 (* x x)) (+ x 1))) #s(hole binary64 (asin (/ (- 1 (pow x 2)) (- 1 (* -1 x))))))
#s(approx (/ (- 1 (* x x)) (+ x 1)) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))

Calls

3 calls:

Time	Variable		Point	Expression
46.0ms	x	@	0	((/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (/ (+ (* (asin (- x 1)) (asin (- 1 x))) (* (* (PI) (PI)) 1/4)) (+ (* 1/2 (PI)) (asin (- 1 x)))) (+ (* (asin (- x 1)) (asin (- 1 x))) (* (* (PI) (PI)) 1/4)) (asin (- x 1)) (- x 1) x 1 (asin (- 1 x)) (- 1 x) (* (* (PI) (PI)) 1/4) (* (PI) (PI)) (PI) 1/4 (+ (* 1/2 (PI)) (asin (- 1 x))) 1/2 (acos (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x) (acos (- 1 x)) (- 1 x) (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) (/ (- (pow x -2) 1) (- (pow x -1) -1)) (- (pow x -2) 1) (pow x -2) -2 (- (pow x -1) -1) (pow x -1) -1 (- (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) (asin (- 1 x))) (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) (pow (cbrt (PI)) 2) (cbrt (PI)) 2 (/ (cbrt (PI)) 2) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (* (/ (PI) 2) (/ (PI) 2)) (/ (PI) 2) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x))) (asin (/ (- 1 (* x x)) (+ x 1))) (/ (- 1 (* x x)) (+ x 1)) (- 1 (* x x)) (* (- (pow x -2) 1) (* x x)) (* x x) (+ x 1) (+ (/ (PI) 2) (asin (- 1 x))))
4.0ms	x	@	-inf	((/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (/ (+ (* (asin (- x 1)) (asin (- 1 x))) (* (* (PI) (PI)) 1/4)) (+ (* 1/2 (PI)) (asin (- 1 x)))) (+ (* (asin (- x 1)) (asin (- 1 x))) (* (* (PI) (PI)) 1/4)) (asin (- x 1)) (- x 1) x 1 (asin (- 1 x)) (- 1 x) (* (* (PI) (PI)) 1/4) (* (PI) (PI)) (PI) 1/4 (+ (* 1/2 (PI)) (asin (- 1 x))) 1/2 (acos (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x) (acos (- 1 x)) (- 1 x) (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) (/ (- (pow x -2) 1) (- (pow x -1) -1)) (- (pow x -2) 1) (pow x -2) -2 (- (pow x -1) -1) (pow x -1) -1 (- (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) (asin (- 1 x))) (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) (pow (cbrt (PI)) 2) (cbrt (PI)) 2 (/ (cbrt (PI)) 2) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (* (/ (PI) 2) (/ (PI) 2)) (/ (PI) 2) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x))) (asin (/ (- 1 (* x x)) (+ x 1))) (/ (- 1 (* x x)) (+ x 1)) (- 1 (* x x)) (* (- (pow x -2) 1) (* x x)) (* x x) (+ x 1) (+ (/ (PI) 2) (asin (- 1 x))))
3.0ms	x	@	inf	((/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (/ (+ (* (asin (- x 1)) (asin (- 1 x))) (* (* (PI) (PI)) 1/4)) (+ (* 1/2 (PI)) (asin (- 1 x)))) (+ (* (asin (- x 1)) (asin (- 1 x))) (* (* (PI) (PI)) 1/4)) (asin (- x 1)) (- x 1) x 1 (asin (- 1 x)) (- 1 x) (* (* (PI) (PI)) 1/4) (* (PI) (PI)) (PI) 1/4 (+ (* 1/2 (PI)) (asin (- 1 x))) 1/2 (acos (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x) (acos (- 1 x)) (- 1 x) (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) (/ (- (pow x -2) 1) (- (pow x -1) -1)) (- (pow x -2) 1) (pow x -2) -2 (- (pow x -1) -1) (pow x -1) -1 (- (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) (asin (- 1 x))) (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) (pow (cbrt (PI)) 2) (cbrt (PI)) 2 (/ (cbrt (PI)) 2) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x)))) (* (/ (PI) 2) (/ (PI) 2)) (/ (PI) 2) (* (asin (/ (- 1 (* x x)) (+ x 1))) (asin (- 1 x))) (asin (/ (- 1 (* x x)) (+ x 1))) (/ (- 1 (* x x)) (+ x 1)) (- 1 (* x x)) (* (- (pow x -2) 1) (* x x)) (* x x) (+ x 1) (+ (/ (PI) 2) (asin (- 1 x))))

Time

Variable

Point

Expression

46.0ms

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

4.0ms

-inf

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

3.0ms

inf

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

rewrite191.0ms (5.8%)

Memory

-2.5MiB live, 139.7MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	224	1923
0	288	1638
1	884	1285
0	5802	1282

Stop Event

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

Counts

132 → 950

Calls

Call 1

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

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

eval199.0ms (6.1%)

Memory: 12.7MiB live, 194.1MiB allocated; 31ms collecting garbage
Compiler: Compiled 48 597 to 4 811 computations (90.1% saved)

prune108.0ms (3.3%)

Memory

5.8MiB live, 146.5MiB allocated; 5ms collecting garbage

Pruning

62 alts after pruning (55 fresh and 7 done)

	Pruned	Kept	Total
New	1 097	39	1 136
Fresh	13	16	29
Picked	3	2	5
Done	0	5	5
Total	1 113	62	1 175

Accuracy

10.5%

Counts

1 175 → 62

Alt Table

Click to see full alt table

Status	Accuracy	Program
	2.9%	(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 (.f64 (asin.f64 (neg.f64 (/.f64 #s(approx (- 1 ( x x)) (.f64 (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) x)) (-.f64 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)))))
	5.1%	(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64)))) (/.f64 (.f64 (asin.f64 (neg.f64 (/.f64 #s(approx (- 1 ( x x)) (.f64 (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) x)) (-.f64 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)))))
	4.4%	(/.f64 (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (/.f64 #s(approx (- 1 ( x x)) (.f64 (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) x)) (-.f64 x #s(literal -1 binary64)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	4.4%	(/.f64 (fma.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (/.f64 #s(approx (- 1 (* x x)) (.f64 (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) x)) (-.f64 x #s(literal -1 binary64)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	7.1%	(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (neg.f64 (/.f64 #s(approx (- 1 (* x x)) (.f64 (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) x)) (-.f64 x #s(literal -1 binary64))))) (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))))
	4.5%	(/.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (/.f64 #s(approx (- 1 ( x x)) (.f64 (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) x)) (-.f64 x #s(literal -1 binary64)))))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64))))
	4.3%	(/.f64 (-.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 (asin.f64 (/.f64 #s(approx (- 1 (* x x)) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #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))))
	4.3%	(/.f64 (-.f64 (.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (asin.f64 (/.f64 #s(approx (- 1 ( x x)) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #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))))
	10.1%	(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (*.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)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	3.0%	(/.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) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (/.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))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
	5.0%	(/.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) (.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 #s(approx (/ (- 1 ( x x)) (+ x 1)) #s(literal 1 binary64)))))
	6.7%	(/.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)))) #s(approx (+ (/ (PI) 2) (asin (- 1 x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
	4.9%	(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (asin.f64 (/.f64 #s(approx (- 1 (* x x)) (.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64))) #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))))
	5.0%	(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (asin.f64 (/.f64 #s(approx (- 1 (* x x)) (.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) #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))))
	4.0%	(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (asin.f64 (/.f64 #s(approx (- 1 (* x x)) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -2 binary64)) #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 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (asin.f64 (/.f64 #s(approx (- 1 (* x x)) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)))) (+.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))))
	5.3%	(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (asin.f64 (/.f64 #s(approx (- 1 (* x x)) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (.f64 x x))) (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) x) (-.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.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))))
	4.9%	(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (asin.f64 (/.f64 #s(approx (- 1 (* x x)) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (.f64 x x))) (+.f64 x #s(literal 1 binary64)))) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.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(approx (- 1 (* x x)) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))) (+.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 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (asin.f64 (/.f64 #s(approx (- 1 (* x x)) (.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) #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))))
	4.9%	(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (asin.f64 (/.f64 #s(approx (- 1 (* x x)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #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))))
	6.6%	(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (exp.f64 (.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))))))
	6.6%	(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (exp.f64 (.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) #s(approx (+ (/ (PI) 2) (asin (- 1 x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
	6.6%	(-.f64 (/.f64 (PI.f64) #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 (+.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 2 binary64) (+.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64))))))
	10.1%	(-.f64 (/.f64 (PI.f64) #s(literal 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))))
	6.1%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) x))))
	10.1%	(-.f64 (.f64 (pow.f64 (.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
✓	4.8%	(-.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)))
	4.8%	(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
✓	6.6%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
	4.9%	(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 x x x) (.f64 x x))) x)))
	4.0%	(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) x)))) x)))
	4.8%	(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 x #s(literal -1 binary64)) x)) x)))
	4.3%	(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))) x)))
	3.9%	(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) x)))
	4.9%	(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) x)))
	5.0%	(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 (+.f64 x (.f64 (neg.f64 x) x)) (*.f64 x x)) x)))
✓	6.6%	(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) x)))
	6.7%	(acos.f64 #s(approx (- 1 x) (.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) x)))
	6.7%	(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64)) #s(literal 1 binary64)) x)))
	4.8%	(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))))
✓	7.2%	(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
	6.1%	(acos.f64 #s(approx (- 1 x) (.f64 (-.f64 (exp.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)) x)))
	6.1%	(acos.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) x)))
✓	6.9%	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
✓	3.8%	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
	6.6%	#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (exp (* (log (asin (- 1 x))) 2))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.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 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
	4.7%	#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (-.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)) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (asin.f64 (-.f64 x #s(literal 1 binary64)))))))
	9.3%	#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (fma.f64 (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (neg.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 #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 (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 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)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64))) (/.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	6.6%	#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (asin.f64 (-.f64 x #s(literal 1 binary64)))))))
	10.2%	#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (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)))))
	4.8%	#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) (PI.f64))) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.2%	#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (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)))))
	10.2%	#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 x x))) (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))) (.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)))))
	4.8%	#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) (sqrt.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)))))
	10.2%	#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (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 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))))
	8.0%	#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (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 #s(approx (/ (- 1 (* x x)) (+ x 1)) (neg.f64 x))))))
	8.6%	#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (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 #s(approx (/ (- 1 (* x x)) (+ x 1)) #s(literal 1 binary64))))))
	10.1%	#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 #s(approx (- x 1) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #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)))))
	6.6%	#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)))))
✓	6.6%	#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 5 241 to 1 912 computations (63.5% saved)

regimes65.0ms (2%)

Memory

-8.5MiB live, 85.7MiB allocated; 9ms collecting garbage

Counts

87 → 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 #s(literal 1/2 binary64) (PI.f64)) (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 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #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)))))
(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 (+.f64 x (.f64 (neg.f64 x) x)) (*.f64 x x)) 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))))
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (.f64 (-.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64)) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 x #s(literal -1 binary64)) x)) x)))
(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) x)))
(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 x x x) (.f64 x x))) x)))
(acos.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (.f64 (-.f64 (exp.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) x))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (exp (* (log (asin (- 1 x))) 2))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.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 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))) x)))
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (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 #s(approx (/ (- 1 (* x x)) (+ x 1)) #s(literal 1 binary64))))))
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (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 #s(approx (/ (- 1 (* x x)) (+ x 1)) (neg.f64 x))))))
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (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)))))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (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(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (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(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) (PI.f64))) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) (sqrt.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)))))
(/.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))))
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 x x))) (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))) (.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)))))
(/.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)))) #s(approx (+ (/ (PI) 2) (asin (- 1 x))) (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) (.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 #s(approx (/ (- 1 ( x x)) (+ x 1)) #s(literal 1 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) (*.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))))
(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.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))))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64)) #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(approx (- 1 (* x x)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #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))))
(acos.f64 #s(approx (- 1 x) (.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64))) #s(literal 2 binary64)) #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(approx (- 1 (* x x)) (.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) #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))))
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(/.f64 (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (/.f64 #s(approx (- 1 ( x x)) (.f64 (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) x)) (-.f64 x #s(literal -1 binary64)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 (asin.f64 (/.f64 #s(approx (- 1 (* x x)) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #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))))
(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 (.f64 (asin.f64 (neg.f64 (/.f64 #s(approx (- 1 ( x x)) (.f64 (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) x)) (-.f64 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)))))
(/.f64 (/.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)))) (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.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)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))

Outputs

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

Calls

3 calls:

21.0ms	x
19.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))
17.0ms	(-.f64 #s(literal 1 binary64) x)

Results

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

Compiler

Compiled 8 to 8 computations (0% saved)

regimes21.0ms (0.7%)

Memory

38.2MiB live, 38.2MiB allocated; 0ms collecting garbage

Counts

30 → 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 #s(literal 1/2 binary64) (PI.f64)) (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 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #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)))))
(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 (+.f64 x (.f64 (neg.f64 x) x)) (*.f64 x x)) 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))))
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (.f64 (-.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64)) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 x #s(literal -1 binary64)) x)) x)))
(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) x)))
(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 x x x) (.f64 x x))) x)))
(acos.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (.f64 (-.f64 (exp.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) x))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (exp (* (log (asin (- 1 x))) 2))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.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 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))) x)))
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (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 #s(approx (/ (- 1 (* x x)) (+ x 1)) #s(literal 1 binary64))))))
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (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 #s(approx (/ (- 1 (* x x)) (+ x 1)) (neg.f64 x))))))
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (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)))))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (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)))))

Outputs

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

Calls

3 calls:

8.0ms	x
6.0ms	(-.f64 #s(literal 1 binary64) x)
6.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

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

Compiler

Compiled 8 to 8 computations (0% saved)

regimes25.0ms (0.8%)

Memory

0.0MiB live, 45.3MiB allocated; 5ms collecting garbage

Counts

29 → 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 #s(literal 1/2 binary64) (PI.f64)) (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 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #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)))))
(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 (+.f64 x (.f64 (neg.f64 x) x)) (*.f64 x x)) 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))))
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (.f64 (-.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64)) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 x #s(literal -1 binary64)) x)) x)))
(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) x)))
(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 x x x) (.f64 x x))) x)))
(acos.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (.f64 (-.f64 (exp.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) x))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (exp (* (log (asin (- 1 x))) 2))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.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 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))) x)))
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (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 #s(approx (/ (- 1 (* x x)) (+ x 1)) #s(literal 1 binary64))))))
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (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 #s(approx (/ (- 1 (* x x)) (+ x 1)) (neg.f64 x))))))
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (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)))))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))

Outputs

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

Calls

3 calls:

11.0ms	x
6.0ms	(-.f64 #s(literal 1 binary64) x)
6.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

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

Compiler

Compiled 8 to 8 computations (0% saved)

regimes20.0ms (0.6%)

Memory

-20.9MiB live, 25.9MiB allocated; 1ms collecting garbage

Counts

27 → 2

Calls

Call 1

Inputs
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
#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 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #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)))))
(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 (+.f64 x (.f64 (neg.f64 x) x)) (*.f64 x x)) 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))))
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (.f64 (-.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64)) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 x #s(literal -1 binary64)) x)) x)))
(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) x)))
(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 x x x) (.f64 x x))) x)))
(acos.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (.f64 (-.f64 (exp.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) x))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (exp (* (log (asin (- 1 x))) 2))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.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 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))) x)))
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (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 #s(approx (/ (- 1 (* x x)) (+ x 1)) #s(literal 1 binary64))))))
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (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 #s(approx (/ (- 1 (* x x)) (+ x 1)) (neg.f64 x))))))

Outputs

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

Calls

3 calls:

8.0ms	x
5.0ms	(-.f64 #s(literal 1 binary64) x)
5.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

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

Compiler

Compiled 8 to 8 computations (0% saved)

regimes18.0ms (0.5%)

Memory

18.0MiB live, 18.0MiB allocated; 0ms collecting garbage

Counts

25 → 2

Calls

Call 1

Inputs
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
#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 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #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)))))
(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 (+.f64 x (.f64 (neg.f64 x) x)) (*.f64 x x)) 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))))
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (.f64 (-.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64)) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 x #s(literal -1 binary64)) x)) x)))
(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) x)))
(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 x x x) (.f64 x x))) x)))
(acos.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (.f64 (-.f64 (exp.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) x))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (exp (* (log (asin (- 1 x))) 2))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.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 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))) x)))

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 8 to 8 computations (0% saved)

regimes4.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 8 to 8 computations (0% saved)

regimes4.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
6.9%	1	`(-.f64 #s(literal 1 binary64) x)`
6.9%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
6.9%	1	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes19.0ms (0.6%)

Memory

-54.4MiB live, 4.6MiB allocated; 19ms 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:

17.0ms	(-.f64 #s(literal 1 binary64) x)
1.0ms	x
1.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

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

Compiler

Compiled 8 to 8 computations (0% saved)

bsearch16.0ms (0.5%)

Memory

9.7MiB live, 9.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.874084831143147e-14	1.1054762820275623e-10

Samples

9.0ms

128×

valid

Compiler

Compiled 583 to 432 computations (25.9% saved)

Precisions

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

ival-acos: 4.0ms (64.8% of total)

adjust: 1.0ms (16.2% of total)

ival-sub!: 1.0ms (16.2% of total)

bsearch15.0ms (0.4%)

Memory

12.3MiB live, 12.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.9263045996034303e-17	2.6988550754808923e-15

Samples

9.0ms

112×

valid

Compiler

Compiled 175 to 176 computations (-0.6% saved)

Precisions

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

ival-acos: 4.0ms (62.6% of total)

adjust: 1.0ms (15.6% of total)

ival-sub!: 1.0ms (15.6% of total)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.9263045996034303e-17	2.6988550754808923e-15

Compiler

Compiled 84 to 92 computations (-9.5% saved)

simplify45.0ms (1.4%)

Memory

-9.1MiB live, 37.6MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	282
1	99	282
2	170	282
3	335	282
4	851	282
5	4187	282

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (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(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (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(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (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)))))
(if (<=.f64 x #s(literal 3590026113927603/618970019642690137449562112 binary64)) #s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (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 #s(approx (/ (- 1 (* x x)) (+ x 1)) #s(literal 1 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)))))
(if (<=.f64 x #s(literal 8924260225606735/162259276829213363391578010288128 binary64)) (acos.f64 #s(approx (- 1 x) (neg.f64 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)))))
(if (<=.f64 x #s(literal 8924260225606735/162259276829213363391578010288128 binary64)) (acos.f64 #s(approx (- 1 x) (neg.f64 x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))

Outputs
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (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(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (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(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (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)))))
(if (<=.f64 x #s(literal 3590026113927603/618970019642690137449562112 binary64)) #s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (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 #s(approx (/ (- 1 (* x x)) (+ x 1)) #s(literal 1 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)))))
(if (<=.f64 x #s(literal 8924260225606735/162259276829213363391578010288128 binary64)) (acos.f64 #s(approx (- 1 x) (neg.f64 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)))))
(if (<=.f64 x #s(literal 8924260225606735/162259276829213363391578010288128 binary64)) (acos.f64 #s(approx (- 1 x) (neg.f64 x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))

derivations86.0ms (2.6%)

Memory

-3.0MiB live, 90.4MiB allocated; 4ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 282 to 70 computations (75.2% saved)

preprocess48.0ms (1.5%)

Memory: 6.4MiB live, 53.0MiB allocated; 9ms collecting garbage
Compiler: Compiled 586 to 160 computations (72.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.4s (42.4%)

explain121.0ms (3.7%)

preprocess207.0ms (6.3%)

eval0.0ms (0%)

prune0.0ms (0%)

series1.0ms (0%)

rewrite44.0ms (1.4%)

eval4.0ms (0.1%)

prune8.0ms (0.2%)

series9.0ms (0.3%)

rewrite95.0ms (2.9%)

eval54.0ms (1.7%)

prune35.0ms (1.1%)

series89.0ms (2.7%)

rewrite67.0ms (2.1%)

eval172.0ms (5.3%)

prune36.0ms (1.1%)

series55.0ms (1.7%)

rewrite191.0ms (5.8%)

eval199.0ms (6.1%)

prune108.0ms (3.3%)

regimes65.0ms (2%)

regimes21.0ms (0.7%)

regimes25.0ms (0.8%)

regimes20.0ms (0.6%)

regimes18.0ms (0.5%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes19.0ms (0.6%)

bsearch16.0ms (0.5%)

bsearch15.0ms (0.4%)

bsearch1.0ms (0%)

simplify45.0ms (1.4%)

derivations86.0ms (2.6%)

preprocess48.0ms (1.5%)

end0.0ms (0%)

Profiling