Metrics for bug323 (missed optimization)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.6MiB live, 0.7MiB 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)

sample1.5s (48.5%)

Memory

69.1MiB live, 1 024.2MiB allocated; 830ms collecting garbage

Samples

873.0ms	4 012×	2	valid
325.0ms	4 071×	1	valid
7.0ms	173×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 981.0ms

ival-acos: 742.0ms (75.7% of total)

adjust: 167.0ms (17% of total)

ival-sub!: 72.0ms (7.3% of total)

Bogosity

explain101.0ms (3.4%)

Memory

-2.0MiB live, 103.1MiB allocated; 22ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
251	-	-	`(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	251	0

Confusion

	Predicted +	Predicted -
+	251	0
-	0	5

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	251	0	0
-	0	0	5

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	5
1	251

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

37.0ms	246×	2	valid
30.0ms	248×	1	valid
1.0ms	18×	0	valid

Compiler

Compiled 26 to 16 computations (38.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-acos: 30.0ms (57% of total)

adjust: 19.0ms (36.1% of total)

ival-sub!: 4.0ms (7.6% of total)

preprocess214.0ms (7.1%)

Memory

11.4MiB live, 103.2MiB allocated; 9ms 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
▶	7.8%	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Compiler

Compiled 4 to 4 computations (0% saved)

series1.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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)

rewrite80.0ms (2.7%)

Memory

-10.7MiB live, 41.0MiB allocated; 6ms 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: 5.4MiB live, 5.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 337 to 109 computations (67.7% saved)

prune8.0ms (0.3%)

Memory

-35.6MiB live, 9.2MiB allocated; 4ms collecting garbage

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	29	5	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	6	35

Accuracy

10.3%

Counts

35 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.8%	(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
▶	7.8%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
✓	7.8%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
▶	8.3%	(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 144 to 94 computations (34.7% saved)

series15.0ms (0.5%)

Memory

23.8MiB live, 23.8MiB allocated; 0ms collecting garbage

Counts

27 → 35

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

Outputs
#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 (/ (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (- 1 x)))) (pow (asin (- 1 x)) 2))))))
#s(approx (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3))))
#s(approx (pow (asin (- 1 x)) 3) #s(hole binary64 (pow (asin (- 1 x)) 3)))
#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)) (+ (* 1/2 (* (PI) (asin (- 1 x)))) (pow (asin (- 1 x)) 2)))))
#s(approx (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (+ (* 1/2 (* (PI) (asin (- 1 x)))) (pow (asin (- 1 x)) 2))))
#s(approx (* (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (* 1/2 (* (PI) (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 (* (- (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 (/ (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (+ 1 (* -1 x))) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (+ 1 (* -1 x))))) (pow (asin (+ 1 (* -1 x))) 2))))))
#s(approx (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (pow (asin (+ 1 (* -1 x))) 3))))
#s(approx (pow (asin (- 1 x)) 3) #s(hole binary64 (pow (asin (+ 1 (* -1 x))) 3)))
#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)) (+ (* 1/2 (* (PI) (asin (+ 1 (* -1 x))))) (pow (asin (+ 1 (* -1 x))) 2)))))
#s(approx (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (+ (* 1/2 (* (PI) (asin (+ 1 (* -1 x))))) (pow (asin (+ 1 (* -1 x))) 2))))
#s(approx (* (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (* 1/2 (* (PI) (asin (+ 1 (* -1 x)))))))

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	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) (/ (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))))) (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (pow (/ (PI) 2) 3) 3 (pow (asin (- 1 x)) 3) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) (* (/ (PI) 2) (asin (- 1 x))))
5.0ms	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) (/ (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))))) (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (pow (/ (PI) 2) 3) 3 (pow (asin (- 1 x)) 3) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) (* (/ (PI) 2) (asin (- 1 x))))
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) (/ (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))))) (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (pow (/ (PI) 2) 3) 3 (pow (asin (- 1 x)) 3) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) (* (/ (PI) 2) (asin (- 1 x))))

Time

Variable

Point

Expression

5.0ms

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

5.0ms

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

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

rewrite113.0ms (3.8%)

Memory

7.1MiB live, 98.8MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	871
0	152	647
1	485	636
0	3994	627

Stop Event

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

Counts

62 → 405

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

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 #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 (.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 (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 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(expm1.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 0 binary64)))
(expm1.f64 (*.f64 (log.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 (/.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 (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 #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 (.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 (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 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 0 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)
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(/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)) (pow.f64 (.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.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 (neg.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (.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))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) (neg.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)) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64))) (.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)))))
(/.f64 (+.f64 (pow.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.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)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))
(fma.f64 (neg.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x))) (neg.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))))
(fma.f64 (neg.f64 (fabs.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)))) (neg.f64 (fabs.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))))
(fma.f64 (fabs.f64 (fabs.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)))) (fabs.f64 (fabs.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))))
(fma.f64 (exp.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (exp.f64 (log.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))))
(fma.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))))
(fma.f64 (fabs.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x))) (fabs.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))))
(fma.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))))
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))
(fma.f64 (PI.f64) (/.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (.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))))) (/.f64 (pow.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.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))))))
(-.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (neg.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x))) (asin.f64 (+.f64 #s(literal -1 binary64) x))))
(-.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (neg.f64 (fabs.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)))) (fabs.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)))))
(-.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.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)) (/.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 (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 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.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)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (-.f64 (pow.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.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)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))
(+.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))
(+.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (PI.f64) (/.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 (neg.f64 (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -2 binary64))
(/.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (PI.f64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) #s(literal -2 binary64))
(/.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64))
#s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (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 (/ (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (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 (/ (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (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 (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
#s(approx (pow (asin (- 1 x)) 3) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
#s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
#s(approx (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(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 (- 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 (/ (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (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 (/ (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (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 (/ (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (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 (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
#s(approx (pow (asin (- 1 x)) 3) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
#s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
#s(approx (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (* (/ (PI) 2) (asin (- 1 x))) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))

eval123.0ms (4.1%)

Memory: -15.3MiB live, 89.0MiB allocated; 23ms collecting garbage
Compiler: Compiled 22 990 to 1 914 computations (91.7% saved)

prune32.0ms (1.1%)

Memory

22.4MiB live, 68.0MiB allocated; 3ms collecting garbage

Pruning

26 alts after pruning (23 fresh and 3 done)

	Pruned	Kept	Total
New	550	23	573
Fresh	0	0	0
Picked	3	2	5
Done	0	1	1
Total	553	26	579

Accuracy

11.3%

Counts

579 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	11.1%	(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 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))))))
	11.1%	(/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 8 binary64)) (.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 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))))))
	11.1%	(/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64)) (.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 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))))))
	11.0%	(/.f64 (-.f64 (pow.f64 (/.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 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #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))))))
	7.8%	(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 x #s(literal 1 binary64))))))))
	11.1%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 8 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))))))
▶	7.8%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (fma.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)))))))
	7.8%	(-.f64 (/.f64 (PI.f64) #s(literal 2 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)))))
	7.7%	(-.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))))))
	7.8%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (fma.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))))
	11.0%	(-.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))))
	7.2%	(-.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))))
▶	5.9%	(-.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
	5.9%	(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
✓	7.8%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
	6.0%	(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)))
	5.5%	(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)))
▶	8.3%	(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)))
	6.1%	(acos.f64 #s(approx (- 1 x) (.f64 (-.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)))
	7.2%	(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
	8.3%	(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
	7.2%	(acos.f64 #s(approx (- 1 x) (.f64 (-.f64 (exp.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)) x)))
	7.2%	(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)))
▶	7.8%	#s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 1 331 to 724 computations (45.6% saved)

series41.0ms (1.4%)

Memory

-44.4MiB live, 53.4MiB allocated; 12ms collecting garbage

Counts

47 → 65

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
15.0ms	x	@	-inf	((/ (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2))) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))))) (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2))) (pow (/ (PI) 2) 3/2) (/ (PI) 2) (PI) 2 3/2 (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2)) (asin (+ -1 x)) (+ -1 x) -1 x (pow (asin (+ -1 x)) 2) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) (asin (- 1 x)) (- 1 x) 1 (* (/ (PI) 2) (asin (- 1 x))) (/ (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))))) (- (* 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 (- (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) (asin (- 1 x))) (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) (pow (cbrt (PI)) 2) (cbrt (PI)) (/ (cbrt (PI)) 2) (- (/ (PI) 2) (/ (- (pow (/ (PI) 2) 3) (pow (acos (- 1 x)) 3)) (+ (* (PI) (/ (PI) 4)) (+ (* (acos (- 1 x)) (acos (- 1 x))) (* (/ (PI) 2) (acos (- 1 x))))))) (/ (- (pow (/ (PI) 2) 3) (pow (acos (- 1 x)) 3)) (+ (* (PI) (/ (PI) 4)) (+ (* (acos (- 1 x)) (acos (- 1 x))) (* (/ (PI) 2) (acos (- 1 x)))))) (- (pow (/ (PI) 2) 3) (pow (acos (- 1 x)) 3)) (pow (/ (PI) 2) 3) 3 (pow (acos (- 1 x)) 3) (acos (- 1 x)) (+ (* (PI) (/ (PI) 4)) (+ (* (acos (- 1 x)) (acos (- 1 x))) (* (/ (PI) 2) (acos (- 1 x))))) (/ (PI) 4) 4 (+ (* (acos (- 1 x)) (acos (- 1 x))) (* (/ (PI) 2) (acos (- 1 x)))) (* (/ (PI) 2) (acos (- 1 x))))
12.0ms	x	@	inf	((/ (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2))) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))))) (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2))) (pow (/ (PI) 2) 3/2) (/ (PI) 2) (PI) 2 3/2 (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2)) (asin (+ -1 x)) (+ -1 x) -1 x (pow (asin (+ -1 x)) 2) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) (asin (- 1 x)) (- 1 x) 1 (* (/ (PI) 2) (asin (- 1 x))) (/ (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))))) (- (* 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 (- (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) (asin (- 1 x))) (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) (pow (cbrt (PI)) 2) (cbrt (PI)) (/ (cbrt (PI)) 2) (- (/ (PI) 2) (/ (- (pow (/ (PI) 2) 3) (pow (acos (- 1 x)) 3)) (+ (* (PI) (/ (PI) 4)) (+ (* (acos (- 1 x)) (acos (- 1 x))) (* (/ (PI) 2) (acos (- 1 x))))))) (/ (- (pow (/ (PI) 2) 3) (pow (acos (- 1 x)) 3)) (+ (* (PI) (/ (PI) 4)) (+ (* (acos (- 1 x)) (acos (- 1 x))) (* (/ (PI) 2) (acos (- 1 x)))))) (- (pow (/ (PI) 2) 3) (pow (acos (- 1 x)) 3)) (pow (/ (PI) 2) 3) 3 (pow (acos (- 1 x)) 3) (acos (- 1 x)) (+ (* (PI) (/ (PI) 4)) (+ (* (acos (- 1 x)) (acos (- 1 x))) (* (/ (PI) 2) (acos (- 1 x))))) (/ (PI) 4) 4 (+ (* (acos (- 1 x)) (acos (- 1 x))) (* (/ (PI) 2) (acos (- 1 x)))) (* (/ (PI) 2) (acos (- 1 x))))
11.0ms	x	@	0	((/ (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2))) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))))) (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2))) (pow (/ (PI) 2) 3/2) (/ (PI) 2) (PI) 2 3/2 (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2)) (asin (+ -1 x)) (+ -1 x) -1 x (pow (asin (+ -1 x)) 2) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) (asin (- 1 x)) (- 1 x) 1 (* (/ (PI) 2) (asin (- 1 x))) (/ (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))))) (- (* 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 (- (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) (asin (- 1 x))) (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) (pow (cbrt (PI)) 2) (cbrt (PI)) (/ (cbrt (PI)) 2) (- (/ (PI) 2) (/ (- (pow (/ (PI) 2) 3) (pow (acos (- 1 x)) 3)) (+ (* (PI) (/ (PI) 4)) (+ (* (acos (- 1 x)) (acos (- 1 x))) (* (/ (PI) 2) (acos (- 1 x))))))) (/ (- (pow (/ (PI) 2) 3) (pow (acos (- 1 x)) 3)) (+ (* (PI) (/ (PI) 4)) (+ (* (acos (- 1 x)) (acos (- 1 x))) (* (/ (PI) 2) (acos (- 1 x)))))) (- (pow (/ (PI) 2) 3) (pow (acos (- 1 x)) 3)) (pow (/ (PI) 2) 3) 3 (pow (acos (- 1 x)) 3) (acos (- 1 x)) (+ (* (PI) (/ (PI) 4)) (+ (* (acos (- 1 x)) (acos (- 1 x))) (* (/ (PI) 2) (acos (- 1 x))))) (/ (PI) 4) 4 (+ (* (acos (- 1 x)) (acos (- 1 x))) (* (/ (PI) 2) (acos (- 1 x)))) (* (/ (PI) 2) (acos (- 1 x))))

Time

Variable

Point

Expression

15.0ms

-inf

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

12.0ms

inf

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

11.0ms

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

rewrite88.0ms (2.9%)

Memory

15.3MiB live, 61.5MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	239	2191
0	317	1832
0	1140	1782

Stop Event

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

Counts

112 → 246

Calls

Call 1

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

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

eval53.0ms (1.8%)

Memory: 14.1MiB live, 58.7MiB allocated; 5ms collecting garbage
Compiler: Compiled 17 666 to 1 291 computations (92.7% saved)

prune38.0ms (1.3%)

Memory

11.2MiB live, 57.4MiB allocated; 3ms collecting garbage

Pruning

36 alts after pruning (30 fresh and 6 done)

	Pruned	Kept	Total
New	394	15	409
Fresh	3	15	18
Picked	2	3	5
Done	0	3	3
Total	399	36	435

Accuracy

11.4%

Counts

435 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	11.2%	(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal -1 binary64) x))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 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))))))
▶	11.1%	(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))) (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (.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))))))
	8.1%	(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 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 #s(approx (- 1 x) (neg.f64 x)))))))
	11.2%	(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 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 (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))))))
	11.2%	(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(approx (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2)) (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #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))))))
	11.1%	(/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64)) (.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 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))))))
	7.8%	(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 x #s(literal 1 binary64))))))))
	11.1%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 8 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))))))
	7.8%	(/.f64 (-.f64 (.f64 (PI.f64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64)))) (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64)))))
	7.8%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64)))))
	7.8%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 (acos.f64 (/.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))))) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
	5.3%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
	7.8%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (/.f64 (-.f64 (.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64)) (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64))) (.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64)) (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
▶	7.8%	(-.f64 (/.f64 (PI.f64) #s(literal 2 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)))))
	10.9%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (fma.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)))))))
	7.7%	(-.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))))))
	11.0%	(-.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))))
▶	7.2%	(-.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))))
✓	5.9%	(-.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
	6.9%	(-.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 #s(approx (- 1 x) (neg.f64 x))))
	5.9%	(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
✓	7.8%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
	6.0%	(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)))
	5.5%	(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)))
✓	8.3%	(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)))
	7.8%	(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)))
	6.1%	(acos.f64 #s(approx (- 1 x) (.f64 (-.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)))
	7.2%	(acos.f64 #s(approx (- 1 x) (.f64 (-.f64 (pow.f64 (exp.f64 (.f64 (log.f64 x) #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) x)))
	7.2%	(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
	8.2%	(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)))
▶	8.3%	(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
	7.2%	(acos.f64 #s(approx (- 1 x) (.f64 (-.f64 (exp.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)) x)))
	7.2%	(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)))
✓	7.8%	#s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 2 033 to 1 094 computations (46.2% saved)

series108.0ms (3.6%)

Memory

-34.8MiB live, 108.4MiB allocated; 13ms collecting garbage

Counts

51 → 96

Calls

Call 1

Inputs
(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal -1 binary64) x))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 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))))))
(fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal -1 binary64) x))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(literal 3/2 binary64)
(.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal -1 binary64) x))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))
(asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))
(asin.f64 (+.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal -1 binary64) x)
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(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)
(-.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))))
(asin.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)
(expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(*.f64 (log.f64 x) #s(literal -1 binary64))
(log.f64 x)
(-.f64 (/.f64 (PI.f64) #s(literal 2 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 (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 (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))))
(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)))
(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 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))) (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (.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))))))
(fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))))
(*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))
(fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (*.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)))))
(/.f64 (PI.f64) #s(literal 4 binary64))
#s(literal 4 binary64)
(*.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))))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))

Outputs
#s(approx (/ (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (/ (- 1 (* x x)) (- -1 x))) (pow (asin (+ -1 x)) 2))) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))))) #s(hole binary64 (/ (+ (* (asin (* -1 (/ (- 1 (pow x 2)) (+ 1 x)))) (pow (asin (- x 1)) 2)) (* (pow (PI) 3) (pow (sqrt 1/8) 2))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (- 1 x)))) (pow (asin (- 1 x)) 2))))))
#s(approx (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (/ (- 1 (* x x)) (- -1 x))) (pow (asin (+ -1 x)) 2))) #s(hole binary64 (+ (* (asin (* -1 (/ (- 1 (pow x 2)) (+ 1 x)))) (pow (asin (- x 1)) 2)) (* (pow (PI) 3) (pow (sqrt 1/8) 2)))))
#s(approx (* (asin (/ (- 1 (* x x)) (- -1 x))) (pow (asin (+ -1 x)) 2)) #s(hole binary64 (* (asin (* -1 (/ (- 1 (pow x 2)) (+ 1 x)))) (pow (asin (- x 1)) 2))))
#s(approx (asin (/ (- 1 (* x x)) (- -1 x))) #s(hole binary64 (asin (* -1 (/ (- 1 (pow x 2)) (+ 1 x))))))
#s(approx (/ (- 1 (* x x)) (- -1 x)) #s(hole binary64 -1))
#s(approx (/ (- 1 (* x x)) (- -1 x)) #s(hole binary64 (- x 1)))
#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 #s(hole binary64 x))
#s(approx (- -1 x) #s(hole binary64 -1))
#s(approx (- -1 x) #s(hole binary64 (- (* -1 x) 1)))
#s(approx (pow (asin (+ -1 x)) 2) #s(hole binary64 (pow (asin (- x 1)) 2)))
#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) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (- 1 x)))) (pow (asin (- 1 x)) 2)))))
#s(approx (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (+ (* 1/2 (* (PI) (asin (- 1 x)))) (pow (asin (- 1 x)) 2))))
#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 (* (/ (PI) 2) (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 (* (- (/ 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 (- (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (- 1 x)))))
#s(approx (* (- (exp (* (log x) -1)) 1) x) #s(hole binary64 1))
#s(approx (* (- (exp (* (log x) -1)) 1) x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- (exp (* (log x) -1)) 1) #s(hole binary64 (/ 1 x)))
#s(approx (- (exp (* (log x) -1)) 1) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (* (log x) -1) #s(hole binary64 (* -1 (log x))))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx (- (/ (PI) 2) (/ (- (pow (/ (PI) 2) 2) (* (acos (- 1 x)) (acos (- 1 x)))) (+ (/ (PI) 2) (acos (- 1 x))))) #s(hole binary64 (- (+ (* 1/2 (PI)) (/ (pow (acos (- 1 x)) 2) (+ (acos (- 1 x)) (* 1/2 (PI))))) (* 1/4 (/ (pow (PI) 2) (+ (acos (- 1 x)) (* 1/2 (PI))))))))
#s(approx (/ (- (pow (/ (PI) 2) 2) (* (acos (- 1 x)) (acos (- 1 x)))) (+ (/ (PI) 2) (acos (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2)) (+ (acos (- 1 x)) (* 1/2 (PI))))))
#s(approx (- (pow (/ (PI) 2) 2) (* (acos (- 1 x)) (acos (- 1 x)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))
#s(approx (* (acos (- 1 x)) (acos (- 1 x))) #s(hole binary64 (pow (acos (- 1 x)) 2)))
#s(approx (+ (/ (PI) 2) (acos (- 1 x))) #s(hole binary64 (+ (acos (- 1 x)) (* 1/2 (PI)))))
#s(approx (/ (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2))) (+ (* (/ (PI) 4) (PI)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))))) #s(hole binary64 (/ (+ (* (pow (PI) 3) (pow (sqrt 1/8) 2)) (pow (asin (- x 1)) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))))))
#s(approx (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2))) #s(hole binary64 (+ (* (pow (PI) 3) (pow (sqrt 1/8) 2)) (pow (asin (- x 1)) 3))))
#s(approx (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2)) #s(hole binary64 (pow (asin (- x 1)) 3)))
#s(approx (+ (* (/ (PI) 4) (PI)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2)))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))))
#s(approx (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) #s(hole binary64 (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (+ (asin (- 1 x)) (/ (PI) 2)) #s(hole binary64 (+ (asin (- 1 x)) (* 1/2 (PI)))))
#s(approx (/ (- 1 (* x x)) (- -1 x)) #s(hole binary64 x))
#s(approx (/ (- 1 (* x x)) (- -1 x)) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#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 (- -1 x) #s(hole binary64 (* -1 x)))
#s(approx (- -1 x) #s(hole binary64 (* -1 (* x (+ 1 (/ 1 x))))))
#s(approx (+ -1 x) #s(hole binary64 x))
#s(approx (+ -1 x) #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 (* (- (exp (* (log x) -1)) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- (exp (* (log x) -1)) 1) x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (exp (* (log x) -1)) 1) #s(hole binary64 -1))
#s(approx (- (exp (* (log x) -1)) 1) #s(hole binary64 (- (/ 1 x) 1)))
#s(approx (* (log x) -1) #s(hole binary64 (log (/ 1 x))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (/ (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (/ (- 1 (* x x)) (- -1 x))) (pow (asin (+ -1 x)) 2))) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))))) #s(hole binary64 (/ (+ (* (pow (PI) 3) (pow (sqrt 1/8) 2)) (* (pow (asin (neg (+ 1 (* -1 x)))) 2) (asin (/ (- 1 (pow x 2)) (- (* -1 x) 1))))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (+ 1 (* -1 x))))) (pow (asin (+ 1 (* -1 x))) 2))))))
#s(approx (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (/ (- 1 (* x x)) (- -1 x))) (pow (asin (+ -1 x)) 2))) #s(hole binary64 (+ (* (pow (PI) 3) (pow (sqrt 1/8) 2)) (* (pow (asin (neg (+ 1 (* -1 x)))) 2) (asin (/ (- 1 (pow x 2)) (- (* -1 x) 1)))))))
#s(approx (* (asin (/ (- 1 (* x x)) (- -1 x))) (pow (asin (+ -1 x)) 2)) #s(hole binary64 (* (pow (asin (neg (+ 1 (* -1 x)))) 2) (asin (/ (- 1 (pow x 2)) (- (* -1 x) 1))))))
#s(approx (asin (/ (- 1 (* x x)) (- -1 x))) #s(hole binary64 (asin (/ (- 1 (pow x 2)) (- (* -1 x) 1)))))
#s(approx (/ (- 1 (* x x)) (- -1 x)) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (pow (asin (+ -1 x)) 2) #s(hole binary64 (pow (asin (neg (+ 1 (* -1 x)))) 2)))
#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) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (+ 1 (* -1 x))))) (pow (asin (+ 1 (* -1 x))) 2)))))
#s(approx (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (+ (* 1/2 (* (PI) (asin (+ 1 (* -1 x))))) (pow (asin (+ 1 (* -1 x))) 2))))
#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 (* (/ (PI) 2) (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 (* (- (/ 1 x) 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 (* (- (exp (* (log x) -1)) 1) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* (log x) -1) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (- (/ (PI) 2) (/ (- (pow (/ (PI) 2) 2) (* (acos (- 1 x)) (acos (- 1 x)))) (+ (/ (PI) 2) (acos (- 1 x))))) #s(hole binary64 (- (+ (* 1/2 (PI)) (/ (pow (acos (+ 1 (* -1 x))) 2) (+ (acos (+ 1 (* -1 x))) (* 1/2 (PI))))) (* 1/4 (/ (pow (PI) 2) (+ (acos (+ 1 (* -1 x))) (* 1/2 (PI))))))))
#s(approx (/ (- (pow (/ (PI) 2) 2) (* (acos (- 1 x)) (acos (- 1 x)))) (+ (/ (PI) 2) (acos (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (+ 1 (* -1 x))) 2)) (+ (acos (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (- (pow (/ (PI) 2) 2) (* (acos (- 1 x)) (acos (- 1 x)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (acos (+ 1 (* -1 x))) 2))))
#s(approx (* (acos (- 1 x)) (acos (- 1 x))) #s(hole binary64 (pow (acos (+ 1 (* -1 x))) 2)))
#s(approx (+ (/ (PI) 2) (acos (- 1 x))) #s(hole binary64 (+ (acos (+ 1 (* -1 x))) (* 1/2 (PI)))))
#s(approx (/ (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2))) (+ (* (/ (PI) 4) (PI)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))))) #s(hole binary64 (/ (+ (* (pow (PI) 3) (pow (sqrt 1/8) 2)) (pow (asin (neg (+ 1 (* -1 x)))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))))
#s(approx (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2))) #s(hole binary64 (+ (* (pow (PI) 3) (pow (sqrt 1/8) 2)) (pow (asin (neg (+ 1 (* -1 x)))) 3))))
#s(approx (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2)) #s(hole binary64 (pow (asin (neg (+ 1 (* -1 x)))) 3)))
#s(approx (+ (* (/ (PI) 4) (PI)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2)))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))))
#s(approx (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) #s(hole binary64 (* (asin (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (+ (asin (- 1 x)) (/ (PI) 2)) #s(hole binary64 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))

Calls

3 calls:

Time	Variable		Point	Expression
47.0ms	x	@	0	((/ (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (/ (- 1 (* x x)) (- -1 x))) (pow (asin (+ -1 x)) 2))) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))))) (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (/ (- 1 (* x x)) (- -1 x))) (pow (asin (+ -1 x)) 2))) (pow (/ (PI) 2) 3/2) (/ (PI) 2) (PI) 2 3/2 (* (asin (/ (- 1 (* x x)) (- -1 x))) (pow (asin (+ -1 x)) 2)) (asin (/ (- 1 (* x x)) (- -1 x))) (/ (- 1 (* x x)) (- -1 x)) (- 1 (* x x)) 1 (* x x) x (- -1 x) -1 (pow (asin (+ -1 x)) 2) (asin (+ -1 x)) (+ -1 x) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) (asin (- 1 x)) (- 1 x) (* (/ (PI) 2) (asin (- 1 x))) (acos (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x) (- (/ (PI) 2) (asin (- 1 x))) (asin (- 1 x)) (- 1 x) (* (- (exp (* (log x) -1)) 1) x) (- (exp (* (log x) -1)) 1) (* (log x) -1) (log x) (- (/ (PI) 2) (/ (- (pow (/ (PI) 2) 2) (* (acos (- 1 x)) (acos (- 1 x)))) (+ (/ (PI) 2) (acos (- 1 x))))) (/ (- (pow (/ (PI) 2) 2) (* (acos (- 1 x)) (acos (- 1 x)))) (+ (/ (PI) 2) (acos (- 1 x)))) (- (pow (/ (PI) 2) 2) (* (acos (- 1 x)) (acos (- 1 x)))) (pow (/ (PI) 2) 2) (* (acos (- 1 x)) (acos (- 1 x))) (acos (- 1 x)) (+ (/ (PI) 2) (acos (- 1 x))) (/ (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2))) (+ (* (/ (PI) 4) (PI)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))))) (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2))) (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2)) (+ (* (/ (PI) 4) (PI)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (PI) 4) 4 (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) (+ (asin (- 1 x)) (/ (PI) 2)))
43.0ms	x	@	-inf	((/ (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (/ (- 1 (* x x)) (- -1 x))) (pow (asin (+ -1 x)) 2))) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))))) (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (/ (- 1 (* x x)) (- -1 x))) (pow (asin (+ -1 x)) 2))) (pow (/ (PI) 2) 3/2) (/ (PI) 2) (PI) 2 3/2 (* (asin (/ (- 1 (* x x)) (- -1 x))) (pow (asin (+ -1 x)) 2)) (asin (/ (- 1 (* x x)) (- -1 x))) (/ (- 1 (* x x)) (- -1 x)) (- 1 (* x x)) 1 (* x x) x (- -1 x) -1 (pow (asin (+ -1 x)) 2) (asin (+ -1 x)) (+ -1 x) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) (asin (- 1 x)) (- 1 x) (* (/ (PI) 2) (asin (- 1 x))) (acos (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x) (- (/ (PI) 2) (asin (- 1 x))) (asin (- 1 x)) (- 1 x) (* (- (exp (* (log x) -1)) 1) x) (- (exp (* (log x) -1)) 1) (* (log x) -1) (log x) (- (/ (PI) 2) (/ (- (pow (/ (PI) 2) 2) (* (acos (- 1 x)) (acos (- 1 x)))) (+ (/ (PI) 2) (acos (- 1 x))))) (/ (- (pow (/ (PI) 2) 2) (* (acos (- 1 x)) (acos (- 1 x)))) (+ (/ (PI) 2) (acos (- 1 x)))) (- (pow (/ (PI) 2) 2) (* (acos (- 1 x)) (acos (- 1 x)))) (pow (/ (PI) 2) 2) (* (acos (- 1 x)) (acos (- 1 x))) (acos (- 1 x)) (+ (/ (PI) 2) (acos (- 1 x))) (/ (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2))) (+ (* (/ (PI) 4) (PI)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))))) (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2))) (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2)) (+ (* (/ (PI) 4) (PI)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (PI) 4) 4 (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) (+ (asin (- 1 x)) (/ (PI) 2)))
15.0ms	x	@	inf	((/ (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (/ (- 1 (* x x)) (- -1 x))) (pow (asin (+ -1 x)) 2))) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))))) (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (/ (- 1 (* x x)) (- -1 x))) (pow (asin (+ -1 x)) 2))) (pow (/ (PI) 2) 3/2) (/ (PI) 2) (PI) 2 3/2 (* (asin (/ (- 1 (* x x)) (- -1 x))) (pow (asin (+ -1 x)) 2)) (asin (/ (- 1 (* x x)) (- -1 x))) (/ (- 1 (* x x)) (- -1 x)) (- 1 (* x x)) 1 (* x x) x (- -1 x) -1 (pow (asin (+ -1 x)) 2) (asin (+ -1 x)) (+ -1 x) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) (asin (- 1 x)) (- 1 x) (* (/ (PI) 2) (asin (- 1 x))) (acos (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x) (- (/ (PI) 2) (asin (- 1 x))) (asin (- 1 x)) (- 1 x) (* (- (exp (* (log x) -1)) 1) x) (- (exp (* (log x) -1)) 1) (* (log x) -1) (log x) (- (/ (PI) 2) (/ (- (pow (/ (PI) 2) 2) (* (acos (- 1 x)) (acos (- 1 x)))) (+ (/ (PI) 2) (acos (- 1 x))))) (/ (- (pow (/ (PI) 2) 2) (* (acos (- 1 x)) (acos (- 1 x)))) (+ (/ (PI) 2) (acos (- 1 x)))) (- (pow (/ (PI) 2) 2) (* (acos (- 1 x)) (acos (- 1 x)))) (pow (/ (PI) 2) 2) (* (acos (- 1 x)) (acos (- 1 x))) (acos (- 1 x)) (+ (/ (PI) 2) (acos (- 1 x))) (/ (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2))) (+ (* (/ (PI) 4) (PI)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))))) (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2))) (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2)) (+ (* (/ (PI) 4) (PI)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (PI) 4) 4 (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) (+ (asin (- 1 x)) (/ (PI) 2)))

Time

Variable

Point

Expression

47.0ms

((/ (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (/ (- 1 (* x x)) (- -1 x))) (pow (asin (+ -1 x)) 2))) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))))) (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (/ (- 1 (* x x)) (- -1 x))) (pow (asin (+ -1 x)) 2))) (pow (/ (PI) 2) 3/2) (/ (PI) 2) (PI) 2 3/2 (* (asin (/ (- 1 (* x x)) (- -1 x))) (pow (asin (+ -1 x)) 2)) (asin (/ (- 1 (* x x)) (- -1 x))) (/ (- 1 (* x x)) (- -1 x)) (- 1 (* x x)) 1 (* x x) x (- -1 x) -1 (pow (asin (+ -1 x)) 2) (asin (+ -1 x)) (+ -1 x) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) (asin (- 1 x)) (- 1 x) (* (/ (PI) 2) (asin (- 1 x))) (acos (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x) (- (/ (PI) 2) (asin (- 1 x))) (asin (- 1 x)) (- 1 x) (* (- (exp (* (log x) -1)) 1) x) (- (exp (* (log x) -1)) 1) (* (log x) -1) (log x) (- (/ (PI) 2) (/ (- (pow (/ (PI) 2) 2) (* (acos (- 1 x)) (acos (- 1 x)))) (+ (/ (PI) 2) (acos (- 1 x))))) (/ (- (pow (/ (PI) 2) 2) (* (acos (- 1 x)) (acos (- 1 x)))) (+ (/ (PI) 2) (acos (- 1 x)))) (- (pow (/ (PI) 2) 2) (* (acos (- 1 x)) (acos (- 1 x)))) (pow (/ (PI) 2) 2) (* (acos (- 1 x)) (acos (- 1 x))) (acos (- 1 x)) (+ (/ (PI) 2) (acos (- 1 x))) (/ (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2))) (+ (* (/ (PI) 4) (PI)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))))) (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2))) (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2)) (+ (* (/ (PI) 4) (PI)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (PI) 4) 4 (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) (+ (asin (- 1 x)) (/ (PI) 2)))

43.0ms

-inf

((/ (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (/ (- 1 (* x x)) (- -1 x))) (pow (asin (+ -1 x)) 2))) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))))) (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (/ (- 1 (* x x)) (- -1 x))) (pow (asin (+ -1 x)) 2))) (pow (/ (PI) 2) 3/2) (/ (PI) 2) (PI) 2 3/2 (* (asin (/ (- 1 (* x x)) (- -1 x))) (pow (asin (+ -1 x)) 2)) (asin (/ (- 1 (* x x)) (- -1 x))) (/ (- 1 (* x x)) (- -1 x)) (- 1 (* x x)) 1 (* x x) x (- -1 x) -1 (pow (asin (+ -1 x)) 2) (asin (+ -1 x)) (+ -1 x) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) (asin (- 1 x)) (- 1 x) (* (/ (PI) 2) (asin (- 1 x))) (acos (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x) (- (/ (PI) 2) (asin (- 1 x))) (asin (- 1 x)) (- 1 x) (* (- (exp (* (log x) -1)) 1) x) (- (exp (* (log x) -1)) 1) (* (log x) -1) (log x) (- (/ (PI) 2) (/ (- (pow (/ (PI) 2) 2) (* (acos (- 1 x)) (acos (- 1 x)))) (+ (/ (PI) 2) (acos (- 1 x))))) (/ (- (pow (/ (PI) 2) 2) (* (acos (- 1 x)) (acos (- 1 x)))) (+ (/ (PI) 2) (acos (- 1 x)))) (- (pow (/ (PI) 2) 2) (* (acos (- 1 x)) (acos (- 1 x)))) (pow (/ (PI) 2) 2) (* (acos (- 1 x)) (acos (- 1 x))) (acos (- 1 x)) (+ (/ (PI) 2) (acos (- 1 x))) (/ (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2))) (+ (* (/ (PI) 4) (PI)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))))) (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2))) (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2)) (+ (* (/ (PI) 4) (PI)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (PI) 4) 4 (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) (+ (asin (- 1 x)) (/ (PI) 2)))

15.0ms

inf

((/ (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (/ (- 1 (* x x)) (- -1 x))) (pow (asin (+ -1 x)) 2))) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))))) (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (/ (- 1 (* x x)) (- -1 x))) (pow (asin (+ -1 x)) 2))) (pow (/ (PI) 2) 3/2) (/ (PI) 2) (PI) 2 3/2 (* (asin (/ (- 1 (* x x)) (- -1 x))) (pow (asin (+ -1 x)) 2)) (asin (/ (- 1 (* x x)) (- -1 x))) (/ (- 1 (* x x)) (- -1 x)) (- 1 (* x x)) 1 (* x x) x (- -1 x) -1 (pow (asin (+ -1 x)) 2) (asin (+ -1 x)) (+ -1 x) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) (asin (- 1 x)) (- 1 x) (* (/ (PI) 2) (asin (- 1 x))) (acos (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x) (- (/ (PI) 2) (asin (- 1 x))) (asin (- 1 x)) (- 1 x) (* (- (exp (* (log x) -1)) 1) x) (- (exp (* (log x) -1)) 1) (* (log x) -1) (log x) (- (/ (PI) 2) (/ (- (pow (/ (PI) 2) 2) (* (acos (- 1 x)) (acos (- 1 x)))) (+ (/ (PI) 2) (acos (- 1 x))))) (/ (- (pow (/ (PI) 2) 2) (* (acos (- 1 x)) (acos (- 1 x)))) (+ (/ (PI) 2) (acos (- 1 x)))) (- (pow (/ (PI) 2) 2) (* (acos (- 1 x)) (acos (- 1 x)))) (pow (/ (PI) 2) 2) (* (acos (- 1 x)) (acos (- 1 x))) (acos (- 1 x)) (+ (/ (PI) 2) (acos (- 1 x))) (/ (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2))) (+ (* (/ (PI) 4) (PI)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))))) (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2))) (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2)) (+ (* (/ (PI) 4) (PI)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (PI) 4) 4 (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) (+ (asin (- 1 x)) (/ (PI) 2)))

rewrite69.0ms (2.3%)

Memory

27.0MiB live, 73.4MiB allocated; 1ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	294	2634
0	387	2204
0	1324	2152

Stop Event

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

Counts

147 → 319

Calls

Call 1

Inputs
(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal -1 binary64) x))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 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))))))
(fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal -1 binary64) x))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(literal 3/2 binary64)
(.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal -1 binary64) x))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))
(asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))
(asin.f64 (+.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal -1 binary64) x)
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(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)
(-.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))))
(asin.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)
(expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(*.f64 (log.f64 x) #s(literal -1 binary64))
(log.f64 x)
(-.f64 (/.f64 (PI.f64) #s(literal 2 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 (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 (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))))
(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)))
(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 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))) (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (.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))))))
(fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))))
(*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))
(fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (*.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)))))
(/.f64 (PI.f64) #s(literal 4 binary64))
#s(literal 4 binary64)
(*.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))))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))
#s(approx (/ (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (/ (- 1 (* x x)) (- -1 x))) (pow (asin (+ -1 x)) 2))) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))))) #s(hole binary64 (/ (+ (* (asin (* -1 (/ (- 1 (pow x 2)) (+ 1 x)))) (pow (asin (- x 1)) 2)) (* (pow (PI) 3) (pow (sqrt 1/8) 2))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (- 1 x)))) (pow (asin (- 1 x)) 2))))))
#s(approx (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (/ (- 1 (* x x)) (- -1 x))) (pow (asin (+ -1 x)) 2))) #s(hole binary64 (+ (* (asin (* -1 (/ (- 1 (pow x 2)) (+ 1 x)))) (pow (asin (- x 1)) 2)) (* (pow (PI) 3) (pow (sqrt 1/8) 2)))))
#s(approx (* (asin (/ (- 1 (* x x)) (- -1 x))) (pow (asin (+ -1 x)) 2)) #s(hole binary64 (* (asin (* -1 (/ (- 1 (pow x 2)) (+ 1 x)))) (pow (asin (- x 1)) 2))))
#s(approx (asin (/ (- 1 (* x x)) (- -1 x))) #s(hole binary64 (asin (* -1 (/ (- 1 (pow x 2)) (+ 1 x))))))
#s(approx (/ (- 1 (* x x)) (- -1 x)) #s(hole binary64 -1))
#s(approx (/ (- 1 (* x x)) (- -1 x)) #s(hole binary64 (- x 1)))
#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 #s(hole binary64 x))
#s(approx (- -1 x) #s(hole binary64 -1))
#s(approx (- -1 x) #s(hole binary64 (- (* -1 x) 1)))
#s(approx (pow (asin (+ -1 x)) 2) #s(hole binary64 (pow (asin (- x 1)) 2)))
#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) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (- 1 x)))) (pow (asin (- 1 x)) 2)))))
#s(approx (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (+ (* 1/2 (* (PI) (asin (- 1 x)))) (pow (asin (- 1 x)) 2))))
#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 (* (/ (PI) 2) (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 (* (- (/ 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 (- (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (- 1 x)))))
#s(approx (* (- (exp (* (log x) -1)) 1) x) #s(hole binary64 1))
#s(approx (* (- (exp (* (log x) -1)) 1) x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- (exp (* (log x) -1)) 1) #s(hole binary64 (/ 1 x)))
#s(approx (- (exp (* (log x) -1)) 1) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (* (log x) -1) #s(hole binary64 (* -1 (log x))))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx (- (/ (PI) 2) (/ (- (pow (/ (PI) 2) 2) (* (acos (- 1 x)) (acos (- 1 x)))) (+ (/ (PI) 2) (acos (- 1 x))))) #s(hole binary64 (- (+ (* 1/2 (PI)) (/ (pow (acos (- 1 x)) 2) (+ (acos (- 1 x)) (* 1/2 (PI))))) (* 1/4 (/ (pow (PI) 2) (+ (acos (- 1 x)) (* 1/2 (PI))))))))
#s(approx (/ (- (pow (/ (PI) 2) 2) (* (acos (- 1 x)) (acos (- 1 x)))) (+ (/ (PI) 2) (acos (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2)) (+ (acos (- 1 x)) (* 1/2 (PI))))))
#s(approx (- (pow (/ (PI) 2) 2) (* (acos (- 1 x)) (acos (- 1 x)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (acos (- 1 x)) 2))))
#s(approx (* (acos (- 1 x)) (acos (- 1 x))) #s(hole binary64 (pow (acos (- 1 x)) 2)))
#s(approx (+ (/ (PI) 2) (acos (- 1 x))) #s(hole binary64 (+ (acos (- 1 x)) (* 1/2 (PI)))))
#s(approx (/ (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2))) (+ (* (/ (PI) 4) (PI)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))))) #s(hole binary64 (/ (+ (* (pow (PI) 3) (pow (sqrt 1/8) 2)) (pow (asin (- x 1)) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))))))
#s(approx (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2))) #s(hole binary64 (+ (* (pow (PI) 3) (pow (sqrt 1/8) 2)) (pow (asin (- x 1)) 3))))
#s(approx (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2)) #s(hole binary64 (pow (asin (- x 1)) 3)))
#s(approx (+ (* (/ (PI) 4) (PI)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2)))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))))
#s(approx (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) #s(hole binary64 (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (+ (asin (- 1 x)) (/ (PI) 2)) #s(hole binary64 (+ (asin (- 1 x)) (* 1/2 (PI)))))
#s(approx (/ (- 1 (* x x)) (- -1 x)) #s(hole binary64 x))
#s(approx (/ (- 1 (* x x)) (- -1 x)) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#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 (- -1 x) #s(hole binary64 (* -1 x)))
#s(approx (- -1 x) #s(hole binary64 (* -1 (* x (+ 1 (/ 1 x))))))
#s(approx (+ -1 x) #s(hole binary64 x))
#s(approx (+ -1 x) #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 (* (- (exp (* (log x) -1)) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- (exp (* (log x) -1)) 1) x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (exp (* (log x) -1)) 1) #s(hole binary64 -1))
#s(approx (- (exp (* (log x) -1)) 1) #s(hole binary64 (- (/ 1 x) 1)))
#s(approx (* (log x) -1) #s(hole binary64 (log (/ 1 x))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (/ (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (/ (- 1 (* x x)) (- -1 x))) (pow (asin (+ -1 x)) 2))) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))))) #s(hole binary64 (/ (+ (* (pow (PI) 3) (pow (sqrt 1/8) 2)) (* (pow (asin (neg (+ 1 (* -1 x)))) 2) (asin (/ (- 1 (pow x 2)) (- (* -1 x) 1))))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (+ 1 (* -1 x))))) (pow (asin (+ 1 (* -1 x))) 2))))))
#s(approx (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (/ (- 1 (* x x)) (- -1 x))) (pow (asin (+ -1 x)) 2))) #s(hole binary64 (+ (* (pow (PI) 3) (pow (sqrt 1/8) 2)) (* (pow (asin (neg (+ 1 (* -1 x)))) 2) (asin (/ (- 1 (pow x 2)) (- (* -1 x) 1)))))))
#s(approx (* (asin (/ (- 1 (* x x)) (- -1 x))) (pow (asin (+ -1 x)) 2)) #s(hole binary64 (* (pow (asin (neg (+ 1 (* -1 x)))) 2) (asin (/ (- 1 (pow x 2)) (- (* -1 x) 1))))))
#s(approx (asin (/ (- 1 (* x x)) (- -1 x))) #s(hole binary64 (asin (/ (- 1 (pow x 2)) (- (* -1 x) 1)))))
#s(approx (/ (- 1 (* x x)) (- -1 x)) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (pow (asin (+ -1 x)) 2) #s(hole binary64 (pow (asin (neg (+ 1 (* -1 x)))) 2)))
#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) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x))))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (+ 1 (* -1 x))))) (pow (asin (+ 1 (* -1 x))) 2)))))
#s(approx (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (+ (* 1/2 (* (PI) (asin (+ 1 (* -1 x))))) (pow (asin (+ 1 (* -1 x))) 2))))
#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 (* (/ (PI) 2) (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 (* (- (/ 1 x) 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 (* (- (exp (* (log x) -1)) 1) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* (log x) -1) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (- (/ (PI) 2) (/ (- (pow (/ (PI) 2) 2) (* (acos (- 1 x)) (acos (- 1 x)))) (+ (/ (PI) 2) (acos (- 1 x))))) #s(hole binary64 (- (+ (* 1/2 (PI)) (/ (pow (acos (+ 1 (* -1 x))) 2) (+ (acos (+ 1 (* -1 x))) (* 1/2 (PI))))) (* 1/4 (/ (pow (PI) 2) (+ (acos (+ 1 (* -1 x))) (* 1/2 (PI))))))))
#s(approx (/ (- (pow (/ (PI) 2) 2) (* (acos (- 1 x)) (acos (- 1 x)))) (+ (/ (PI) 2) (acos (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (+ 1 (* -1 x))) 2)) (+ (acos (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (- (pow (/ (PI) 2) 2) (* (acos (- 1 x)) (acos (- 1 x)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (acos (+ 1 (* -1 x))) 2))))
#s(approx (* (acos (- 1 x)) (acos (- 1 x))) #s(hole binary64 (pow (acos (+ 1 (* -1 x))) 2)))
#s(approx (+ (/ (PI) 2) (acos (- 1 x))) #s(hole binary64 (+ (acos (+ 1 (* -1 x))) (* 1/2 (PI)))))
#s(approx (/ (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2))) (+ (* (/ (PI) 4) (PI)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))))) #s(hole binary64 (/ (+ (* (pow (PI) 3) (pow (sqrt 1/8) 2)) (pow (asin (neg (+ 1 (* -1 x)))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))))
#s(approx (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2))) #s(hole binary64 (+ (* (pow (PI) 3) (pow (sqrt 1/8) 2)) (pow (asin (neg (+ 1 (* -1 x)))) 3))))
#s(approx (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2)) #s(hole binary64 (pow (asin (neg (+ 1 (* -1 x)))) 3)))
#s(approx (+ (* (/ (PI) 4) (PI)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2)))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))))
#s(approx (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) #s(hole binary64 (* (asin (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (+ (asin (- 1 x)) (/ (PI) 2)) #s(hole binary64 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))

Outputs
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(/.f64 (PI.f64) #s(literal 4 binary64))
#s(literal 4 binary64)
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#s(approx x x)
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#s(approx (* (acos (- 1 x)) (acos (- 1 x))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
#s(approx (+ (/ (PI) 2) (acos (- 1 x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (/ (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2))) (+ (* (/ (PI) 4) (PI)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
#s(approx (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))))
#s(approx (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2)) (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)))
#s(approx (+ (* (/ (PI) 4) (PI)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
#s(approx (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (+ (asin (- 1 x)) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #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 (- 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 (- -1 x) (neg.f64 x))
#s(approx (- -1 x) (*.f64 (neg.f64 x) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
#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 (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))
#s(approx (* (- (exp (* (log x) -1)) 1) x) (neg.f64 x))
#s(approx (* (- (exp (* (log x) -1)) 1) x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))
#s(approx (- (exp (* (log x) -1)) 1) #s(literal -1 binary64))
#s(approx (- (exp (* (log x) -1)) 1) (expm1.f64 (neg.f64 (log.f64 x))))
#s(approx (* (- (exp (* (log x) -1)) 1) x) (neg.f64 x))
#s(approx (* (- (exp (* (log x) -1)) 1) x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))
#s(approx (- (exp (* (log x) -1)) 1) #s(literal -1 binary64))
#s(approx (- (exp (* (log x) -1)) 1) (expm1.f64 (neg.f64 (log.f64 x))))
#s(approx (* (log x) -1) (neg.f64 (log.f64 x)))
#s(approx (log x) (neg.f64 (neg.f64 (log.f64 x))))
#s(approx (/ (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2))) (+ (* (/ (PI) 4) (PI)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))))) (/.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) (pow.f64 (asin.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))) (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
#s(approx (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2))) (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) (pow.f64 (asin.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))))
#s(approx (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2)) (.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) (pow.f64 (asin.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))) #s(literal 2 binary64))))
#s(approx (asin (+ -1 x)) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))))
#s(approx (+ -1 x) (*.f64 (neg.f64 x) (expm1.f64 (neg.f64 (log.f64 x)))))
#s(approx (pow (asin (+ -1 x)) 2) (pow.f64 (asin.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))) #s(literal 2 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) (expm1.f64 (neg.f64 (log.f64 x)))))
#s(approx (+ (* (/ (PI) 4) (PI)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))) (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
#s(approx (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))) (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))
#s(approx (asin (- 1 x)) (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (* (/ (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 (acos (- 1 x)) (acos.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))
#s(approx (* (- (exp (* (log x) -1)) 1) x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (acos (- 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 (* (- (exp (* (log x) -1)) 1) x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (* (log x) -1) (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (log x) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (- (/ (PI) 2) (/ (- (pow (/ (PI) 2) 2) (* (acos (- 1 x)) (acos (- 1 x)))) (+ (/ (PI) 2) (acos (- 1 x))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (/.f64 (pow.f64 (acos.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) (acos.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 1/4 binary64)))))
#s(approx (/ (- (pow (/ (PI) 2) 2) (* (acos (- 1 x)) (acos (- 1 x)))) (+ (/ (PI) 2) (acos (- 1 x)))) (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.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) (acos.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))))
#s(approx (- (pow (/ (PI) 2) 2) (* (acos (- 1 x)) (acos (- 1 x)))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) #s(literal 2 binary64))))
#s(approx (* (acos (- 1 x)) (acos (- 1 x))) (pow.f64 (acos.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) #s(literal 2 binary64)))
#s(approx (+ (/ (PI) 2) (acos (- 1 x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))
#s(approx (/ (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2))) (+ (* (/ (PI) 4) (PI)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))) (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
#s(approx (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))) #s(literal 3 binary64))))
#s(approx (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2)) (pow.f64 (asin.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))) #s(literal 3 binary64)))
#s(approx (+ (* (/ (PI) 4) (PI)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))) (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
#s(approx (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))) (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))
#s(approx (+ (asin (- 1 x)) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))

eval61.0ms (2%)

Memory: 10.0MiB live, 102.5MiB allocated; 16ms collecting garbage
Compiler: Compiled 19 429 to 1 460 computations (92.5% saved)

prune65.0ms (2.2%)

Memory

-6.1MiB live, 87.9MiB allocated; 5ms collecting garbage

Pruning

42 alts after pruning (35 fresh and 7 done)

	Pruned	Kept	Total
New	425	19	444
Fresh	9	16	25
Picked	4	1	5
Done	0	6	6
Total	438	42	480

Accuracy

11.4%

Counts

480 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	11.2%	(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal -1 binary64) x))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.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))))))
	8.7%	(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal -1 binary64) x))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 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 #s(approx (- 1 x) #s(literal 1 binary64)))))))
	4.2%	(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal -1 binary64) x))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (-.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)))))))
	11.2%	(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal -1 binary64) x))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 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))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
	11.2%	(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal -1 binary64) x))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))) #s(approx (+ (* (/ (PI) 4) (PI)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
	8.1%	(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (.f64 (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 #s(literal -1 binary64) x))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 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))))))
	8.1%	(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))) (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 #s(approx (- 1 x) (neg.f64 x))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
	11.2%	(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 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 (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))))))
	7.3%	(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (.f64 (asin.f64 #s(approx (+ -1 x) (.f64 (neg.f64 x) (expm1.f64 (neg.f64 (log.f64 x)))))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 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))))))
	11.1%	(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(approx (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2)) (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)))) (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (*.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))))))
	11.2%	(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(approx (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2)) (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #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))))))
	6.1%	(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/4 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/4 binary64))) (.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal -1 binary64) x))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 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))))))
	11.1%	(/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64)) (.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 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))))))
	7.8%	(/.f64 (-.f64 (.f64 (PI.f64) (+.f64 (acos.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 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
	7.8%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (*.f64 (neg.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)))))
	7.8%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64)))))
	7.8%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (acos.f64 (/.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))))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	5.3%	(-.f64 (/.f64 (PI.f64) #s(literal 2 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 #s(approx (- 1 x) #s(literal 1 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.9%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (fma.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)))))))
	7.7%	(-.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))))))
	11.0%	(-.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))))
	7.2%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))))
	7.8%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(approx (/ (- (pow (/ (PI) 2) 2) (* (acos (- 1 x)) (acos (- 1 x)))) (+ (/ (PI) 2) (acos (- 1 x)))) (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
✓	5.9%	(-.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
	6.9%	(-.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 #s(approx (- 1 x) (neg.f64 x))))
	5.9%	(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
✓	7.8%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
	6.0%	(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)))
	5.5%	(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)))
✓	8.3%	(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)))
	7.8%	(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)))
	6.1%	(acos.f64 #s(approx (- 1 x) (.f64 (-.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)))
	7.2%	(acos.f64 #s(approx (- 1 x) (.f64 (-.f64 (pow.f64 (exp.f64 (.f64 (log.f64 x) #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) x)))
	7.2%	(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
	8.2%	(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)))
✓	8.3%	(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
	7.2%	(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (exp.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64)) x)))
	7.2%	(acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)))
✓	6.9%	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
✓	3.8%	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
✓	7.8%	#s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (PI) 2) (asin (- 1 x)))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	6.1%	#s(approx (/ (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2))) (+ (* (/ (PI) 4) (PI)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))))) (/.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) (pow.f64 (asin.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))) (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))

Compiler

Compiled 3 679 to 1 189 computations (67.7% saved)

regimes58.0ms (1.9%)

Memory

-8.1MiB live, 43.5MiB allocated; 23ms collecting garbage

Counts

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

Outputs

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

Calls

3 calls:

25.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))
16.0ms	x
12.0ms	(-.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
11.2%	1	`(-.f64 #s(literal 1 binary64) x)`
11.2%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
11.2%	1	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes31.0ms (1%)

Memory

-2.4MiB live, 43.9MiB allocated; 3ms collecting garbage

Counts

43 → 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 (/ (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (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)))
(-.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 (expm1.f64 (neg.f64 (log.f64 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 (exp.f64 (neg.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)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) 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)))
(-.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)) #s(approx (/ (- (pow (/ (PI) 2) 2) (* (acos (- 1 x)) (acos (- 1 x)))) (+ (/ (PI) 2) (acos (- 1 x)))) (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (*.f64 (neg.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)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (.f64 (-.f64 (pow.f64 (exp.f64 (.f64 (log.f64 x) #s(literal -1/2 binary64))) #s(literal 2 binary64)) #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 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 #s(approx (- 1 x) (neg.f64 x))))
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.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))))
(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)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 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 #s(approx (- 1 x) #s(literal 1 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (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 (.f64 (PI.f64) (+.f64 (acos.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 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (acos.f64 (/.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))))) (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)) (/.f64 (-.f64 (.f64 (PI.f64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(approx (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2)) (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)))) (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (*.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))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 (/.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 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))))))
#s(approx (/ (+ (* (pow (/ (PI) 2) 3/2) (pow (/ (PI) 2) 3/2)) (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2))) (+ (* (/ (PI) 4) (PI)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))))) (/.f64 (fma.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) (pow.f64 (asin.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))) (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (fma.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 (fma.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64)) (.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (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 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 x #s(literal 1 binary64))))))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))) (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 #s(approx (- 1 x) (neg.f64 x))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 8 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))) (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (.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))))))

Outputs

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

Calls

3 calls:

11.0ms	x
10.0ms	(-.f64 #s(literal 1 binary64) x)
8.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
11.1%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
11.1%	1	`(-.f64 #s(literal 1 binary64) x)`
11.1%	1	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes27.0ms (0.9%)

Memory

-6.9MiB live, 39.3MiB allocated; 4ms collecting garbage

Counts

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

Outputs

(-.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))))

Calls

3 calls:

10.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))
8.0ms	x
7.0ms	(-.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
11.0%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
11.0%	1	`(-.f64 #s(literal 1 binary64) x)`
11.0%	1	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes18.0ms (0.6%)

Memory

31.7MiB live, 31.7MiB 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 (/ (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (/ (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)))
(-.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 (expm1.f64 (neg.f64 (log.f64 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 (exp.f64 (neg.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)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) 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)))
(-.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)) #s(approx (/ (- (pow (/ (PI) 2) 2) (* (acos (- 1 x)) (acos (- 1 x)))) (+ (/ (PI) 2) (acos (- 1 x)))) (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (*.f64 (neg.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)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (.f64 (-.f64 (pow.f64 (exp.f64 (.f64 (log.f64 x) #s(literal -1/2 binary64))) #s(literal 2 binary64)) #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 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 #s(approx (- 1 x) (neg.f64 x))))
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))

Outputs

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

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

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
10.2%	2	`x`
10.2%	2	`(-.f64 #s(literal 1 binary64) x)`
10.2%	2	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes15.0ms (0.5%)

Memory

-23.6MiB live, 23.5MiB allocated; 2ms collecting garbage

Counts

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
10.2%	2	`(-.f64 #s(literal 1 binary64) x)`
10.2%	2	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
10.2%	2	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes4.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB 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)

regimes3.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
3.8%	1	`(-.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)

bsearch14.0ms (0.5%)

Memory

17.2MiB live, 17.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2.0841490059119393e-17	7.2472903843634705e-16

Samples

8.0ms

112×

valid

Compiler

Compiled 399 to 260 computations (34.8% saved)

Precisions

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

ival-acos: 4.0ms (69.1% of total)

adjust: 1.0ms (17.3% of total)

ival-sub!: 1.0ms (17.3% of total)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	2.0841490059119393e-17	7.2472903843634705e-16

Compiler

Compiled 84 to 92 computations (-9.5% saved)

simplify53.0ms (1.8%)

Memory

-32.1MiB live, 64.7MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	78	219
1	129	214
2	256	214
3	573	214
4	1408	200
5	5799	200

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal -1 binary64) x))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))) #s(approx (+ (* (/ (PI) 4) (PI)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(approx (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2)) (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)))) (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (*.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))))))
(-.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))))
(if (<=.f64 x #s(literal 2271629875608987/40564819207303340847894502572032 binary64)) (acos.f64 #s(approx (- 1 x) (neg.f64 x))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(approx (/ (- (pow (/ (PI) 2) 2) (* (acos (- 1 x)) (acos (- 1 x)))) (+ (/ (PI) 2) (acos (- 1 x)))) (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
(if (<=.f64 x #s(literal 2271629875608987/40564819207303340847894502572032 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
(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal -1 binary64) x))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))) #s(approx (+ (* (/ (PI) 4) (PI)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(approx (* (asin (+ -1 x)) (pow (asin (+ -1 x)) 2)) (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)))) (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (*.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))))))
(-.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))))
(if (<=.f64 x #s(literal 2271629875608987/40564819207303340847894502572032 binary64)) (acos.f64 #s(approx (- 1 x) (neg.f64 x))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(approx (/ (- (pow (/ (PI) 2) 2) (* (acos (- 1 x)) (acos (- 1 x)))) (+ (/ (PI) 2) (acos (- 1 x)))) (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
(if (<=.f64 x #s(literal 2271629875608987/40564819207303340847894502572032 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)))

derivations64.0ms (2.1%)

Memory

27.8MiB live, 75.0MiB allocated; 2ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 219 to 82 computations (62.6% saved)

preprocess45.0ms (1.5%)

Memory: 1.9MiB live, 93.3MiB allocated; 10ms collecting garbage
Compiler: Compiled 446 to 172 computations (61.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.5s (48.5%)

explain101.0ms (3.4%)

preprocess214.0ms (7.1%)

eval0.0ms (0%)

prune0.0ms (0%)

series1.0ms (0%)

rewrite80.0ms (2.7%)

eval4.0ms (0.1%)

prune8.0ms (0.3%)

series15.0ms (0.5%)

rewrite113.0ms (3.8%)

eval123.0ms (4.1%)

prune32.0ms (1.1%)

series41.0ms (1.4%)

rewrite88.0ms (2.9%)

eval53.0ms (1.8%)

prune38.0ms (1.3%)

series108.0ms (3.6%)

rewrite69.0ms (2.3%)

eval61.0ms (2%)

prune65.0ms (2.2%)

regimes58.0ms (1.9%)

regimes31.0ms (1%)

regimes27.0ms (0.9%)

regimes18.0ms (0.6%)

regimes15.0ms (0.5%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch14.0ms (0.5%)

bsearch1.0ms (0%)

simplify53.0ms (1.8%)

derivations64.0ms (2.1%)

preprocess45.0ms (1.5%)

end0.0ms (0%)

Profiling