Metrics for bug323 (missed optimization)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.7MiB 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)

sample1.3s (46.5%)

Memory

20.4MiB live, 1 782.3MiB allocated; 241ms collecting garbage

Samples

644.0ms	3 950×	2	valid
396.0ms	4 149×	1	valid
6.0ms	157×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 775.0ms

ival-acos: 536.0ms (69.2% of total)

adjust: 174.0ms (22.5% of total)

ival-sub!: 64.0ms (8.3% of total)

Bogosity

explain101.0ms (3.7%)

Memory

18.0MiB live, 157.7MiB allocated; 15ms collecting garbage

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`acos.f64`	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`	sensitivity	256	0

Confusion

	Predicted +	Predicted -
+	256	0
-	0	0

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
1	256

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

34.0ms	226×	2	valid
29.0ms	284×	1	valid
0.0ms	2×	0	valid

Compiler

Compiled 26 to 16 computations (38.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-acos: 34.0ms (73.4% of total)

adjust: 8.0ms (17.3% of total)

ival-sub!: 4.0ms (8.6% of total)

preprocess87.0ms (3.2%)

Memory

-48.2MiB live, 10.1MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 4 (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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.1%	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Compiler

Compiled 8 to 8 computations (0% saved)

series1.0ms (0%)

Memory

2.4MiB live, 2.4MiB 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)

rewrite48.0ms (1.7%)

Memory

22.3MiB live, 70.1MiB allocated; 7ms 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)))

eval3.0ms (0.1%)

Memory: 8.1MiB live, 8.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 337 to 109 computations (67.7% saved)

prune4.0ms (0.2%)

Memory

9.8MiB live, 9.8MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (6 fresh and 1 done)

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

Accuracy

8.0%

Counts

35 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.1%	(/.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))))))
▶	5.1%	(/.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))))
▶	5.1%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
✓	5.1%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
▶	5.5%	(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
▶	6.8%	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
▶	3.8%	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))

Compiler

Compiled 196 to 118 computations (39.8% saved)

series11.0ms (0.4%)

Memory

-22.2MiB live, 25.3MiB allocated; 1ms collecting garbage

Counts

24 → 31

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	((acos (- 1 x)) (- 1 x) (neg x) x (acos (- 1 x)) (- 1 x) 1 (- (/ (PI) 2) (asin (- 1 x))) (/ (PI) 2) (PI) 2 (asin (- 1 x)) (- 1 x) (acos (- 1 x)) (- 1 x) (* (- (pow x -1) 1) x) (- (pow x -1) 1) (pow x -1) -1 (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x))) (+ (/ (PI) 2) (asin (- 1 x))))
3.0ms	x	@	-inf	((acos (- 1 x)) (- 1 x) (neg x) x (acos (- 1 x)) (- 1 x) 1 (- (/ (PI) 2) (asin (- 1 x))) (/ (PI) 2) (PI) 2 (asin (- 1 x)) (- 1 x) (acos (- 1 x)) (- 1 x) (* (- (pow x -1) 1) x) (- (pow x -1) 1) (pow x -1) -1 (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x))) (+ (/ (PI) 2) (asin (- 1 x))))
2.0ms	x	@	inf	((acos (- 1 x)) (- 1 x) (neg x) x (acos (- 1 x)) (- 1 x) 1 (- (/ (PI) 2) (asin (- 1 x))) (/ (PI) 2) (PI) 2 (asin (- 1 x)) (- 1 x) (acos (- 1 x)) (- 1 x) (* (- (pow x -1) 1) x) (- (pow x -1) 1) (pow x -1) -1 (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x))) (+ (/ (PI) 2) (asin (- 1 x))))

Time

Variable

Point

Expression

4.0ms

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

3.0ms

-inf

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

2.0ms

inf

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

rewrite113.0ms (4.1%)

Memory

-6.1MiB live, 133.2MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

55 → 337

Calls

Call 1

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

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

eval50.0ms (1.8%)

Memory: 14.8MiB live, 103.1MiB allocated; 9ms collecting garbage
Compiler: Compiled 12 840 to 1 429 computations (88.9% saved)

prune43.0ms (1.6%)

Memory

19.5MiB live, 63.2MiB allocated; 21ms collecting garbage

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	434	18	452
Fresh	1	0	1
Picked	3	2	5
Done	0	1	1
Total	438	21	459

Accuracy

9.0%

Counts

459 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	1.2%	(fma.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
▶	8.9%	(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	8.9%	(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	5.1%	(/.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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))))))
	8.9%	(-.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))))
	4.2%	(-.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))))
▶	3.3%	(-.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)))
	3.3%	(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
✓	5.1%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
▶	3.5%	(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)))
	2.9%	(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)))
	5.4%	(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)))
▶	3.5%	(acos.f64 #s(approx (- 1 x) (.f64 (-.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)))
	4.2%	(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
	5.5%	(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
	4.2%	(acos.f64 #s(approx (- 1 x) (.f64 (-.f64 (exp.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)) x)))
	4.2%	(acos.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) x)))
	4.2%	(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (pow x -1) 1) (pow.f64 x #s(literal -1 binary64))) x)))
✓	6.8%	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
✓	3.8%	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
▶	5.1%	#s(approx (acos (- 1 x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 691 to 480 computations (30.5% saved)

series27.0ms (1%)

Memory

-1.1MiB live, 39.7MiB allocated; 15ms collecting garbage

Counts

39 → 59

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
18.0ms	x	@	inf	((/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (asin (- 1 x)) (- 1 x) 1 x (asin (+ -1 x)) (+ -1 x) -1 (pow (/ (PI) 2) 2) (/ (PI) 2) (PI) 2 (+ (/ (PI) 2) (asin (- 1 x))) (acos (- 1 x)) (- (* 1/2 (PI)) (asin (- 1 x))) (* 1/2 (PI)) 1/2 (acos (- 1 x)) (- 1 x) (* (- (pow (* x x) -1/2) 1) x) (- (pow (* x x) -1/2) 1) (pow (* x x) -1/2) (* x x) -1/2 (acos (- 1 x)) (- 1 x) (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) (/ (- (pow x -2) 1) (- (pow x -1) -1)) (- (pow x -2) 1) (pow x -2) -2 (- (pow x -1) -1) (pow x -1) (- (* (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))
4.0ms	x	@	-inf	((/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (asin (- 1 x)) (- 1 x) 1 x (asin (+ -1 x)) (+ -1 x) -1 (pow (/ (PI) 2) 2) (/ (PI) 2) (PI) 2 (+ (/ (PI) 2) (asin (- 1 x))) (acos (- 1 x)) (- (* 1/2 (PI)) (asin (- 1 x))) (* 1/2 (PI)) 1/2 (acos (- 1 x)) (- 1 x) (* (- (pow (* x x) -1/2) 1) x) (- (pow (* x x) -1/2) 1) (pow (* x x) -1/2) (* x x) -1/2 (acos (- 1 x)) (- 1 x) (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) (/ (- (pow x -2) 1) (- (pow x -1) -1)) (- (pow x -2) 1) (pow x -2) -2 (- (pow x -1) -1) (pow x -1) (- (* (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))
4.0ms	x	@	0	((/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (asin (- 1 x)) (- 1 x) 1 x (asin (+ -1 x)) (+ -1 x) -1 (pow (/ (PI) 2) 2) (/ (PI) 2) (PI) 2 (+ (/ (PI) 2) (asin (- 1 x))) (acos (- 1 x)) (- (* 1/2 (PI)) (asin (- 1 x))) (* 1/2 (PI)) 1/2 (acos (- 1 x)) (- 1 x) (* (- (pow (* x x) -1/2) 1) x) (- (pow (* x x) -1/2) 1) (pow (* x x) -1/2) (* x x) -1/2 (acos (- 1 x)) (- 1 x) (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) (/ (- (pow x -2) 1) (- (pow x -1) -1)) (- (pow x -2) 1) (pow x -2) -2 (- (pow x -1) -1) (pow x -1) (- (* (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))

Time

Variable

Point

Expression

18.0ms

inf

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

4.0ms

-inf

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

4.0ms

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

rewrite180.0ms (6.6%)

Memory

-14.5MiB live, 222.5MiB allocated; 62ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	1120
0	218	883
1	649	813
0	4254	810

Stop Event

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

Counts

98 → 747

Calls

Call 1

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

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

eval126.0ms (4.6%)

Memory: 34.4MiB live, 225.8MiB allocated; 72ms collecting garbage
Compiler: Compiled 18 917 to 2 916 computations (84.6% saved)

prune39.0ms (1.4%)

Memory

-9.5MiB live, 92.8MiB allocated; 7ms collecting garbage

Pruning

32 alts after pruning (27 fresh and 5 done)

	Pruned	Kept	Total
New	722	20	742
Fresh	6	7	13
Picked	3	2	5
Done	0	3	3
Total	731	32	763

Accuracy

9.1%

Counts

763 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	1.2%	(fma.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (neg.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
	8.5%	(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))
▶	8.9%	(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	8.8%	(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) x))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	8.9%	(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	5.1%	(/.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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))))))
	8.9%	(-.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))))
▶	4.2%	(-.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))))
	3.3%	(-.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
✓	5.1%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
	3.5%	(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) x)))
▶	3.4%	(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 x x x) (.f64 x x))) x)))
	3.5%	(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 x #s(literal -1 binary64)) x)) x)))
	2.9%	(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)))
	3.7%	(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) x)))
▶	5.5%	(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)))
	3.7%	(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 (+.f64 x (.f64 (neg.f64 x) x)) (*.f64 x x)) x)))
	3.5%	(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) x))))
▶	4.0%	(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) 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)) (/.f64 #s(literal -1 binary64) x)))))
	5.4%	(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)))
✓	3.5%	(acos.f64 #s(approx (- 1 x) (.f64 (-.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)))
	3.4%	(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))))
	4.2%	(acos.f64 #s(approx (- 1 x) (.f64 (-.f64 (exp.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)) x)))
	4.2%	(acos.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) x)))
	4.2%	(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (/ (- (pow x -2) 1) (- (pow x -1) -1)) (pow.f64 x #s(literal -1 binary64))) x)))
✓	6.8%	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
✓	3.8%	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
	1.3%	#s(approx (acos (- 1 x)) (fma.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (asin.f64 (-.f64 x #s(literal 1 binary64)))))))
	1.3%	#s(approx (acos (- 1 x)) (fma.f64 (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	3.3%	#s(approx (acos (- 1 x)) (-.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	3.3%	#s(approx (acos (- 1 x)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
✓	5.1%	#s(approx (acos (- 1 x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 1 302 to 851 computations (34.6% saved)

series76.0ms (2.8%)

Memory

-31.7MiB live, 158.1MiB allocated; 15ms collecting garbage

Counts

48 → 110

Calls

Call 1

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

Outputs
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (/ (* (PI) (PI)) 4)) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (- x 1)))) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (+ (* (asin (- 1 x)) (asin (+ -1 x))) (/ (* (PI) (PI)) 4)) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (- x 1))))))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (- 1 x))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (asin (+ -1 x)) #s(hole binary64 (asin (- x 1))))
#s(approx (+ -1 x) #s(hole binary64 -1))
#s(approx (+ -1 x) #s(hole binary64 (- x 1)))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (- 1 x)) (* 1/2 (PI)))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (- 1 x))))
#s(approx (* (/ (- 1 x) x) x) #s(hole binary64 1))
#s(approx (* (/ (- 1 x) x) x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ (- 1 x) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (- 1 x) x) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (* (/ (- (pow x -2) 1) (/ (+ (* x x) x) (* x x))) x) #s(hole binary64 1))
#s(approx (* (/ (- (pow x -2) 1) (/ (+ (* x x) x) (* x x))) x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ (- (pow x -2) 1) (/ (+ (* x x) x) (* x x))) #s(hole binary64 (/ 1 x)))
#s(approx (/ (- (pow x -2) 1) (/ (+ (* x x) x) (* x x))) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (- (pow x -2) 1) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (- (pow x -2) 1) #s(hole binary64 (/ (+ 1 (* -1 (pow x 2))) (pow x 2))))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ (+ (* x x) x) (* x x)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* x x) x) (* x x)) #s(hole binary64 (/ (+ 1 x) x)))
#s(approx (+ (* x x) x) #s(hole binary64 x))
#s(approx (+ (* x x) x) #s(hole binary64 (* x (+ 1 x))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#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 (* (/ (* (- (pow x -2) 1) x) (- (pow x -3) -1)) (+ (- (pow x -2) -1) (/ -1 x))) #s(hole binary64 1))
#s(approx (* (/ (* (- (pow x -2) 1) x) (- (pow x -3) -1)) (+ (- (pow x -2) -1) (/ -1 x))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ (* (- (pow x -2) 1) x) (- (pow x -3) -1)) #s(hole binary64 (pow x 2)))
#s(approx (/ (* (- (pow x -2) 1) x) (- (pow x -3) -1)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (pow x 2))))))
#s(approx (/ (* (- (pow x -2) 1) x) (- (pow x -3) -1)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* -1 x) 1))))))
#s(approx (/ (* (- (pow x -2) 1) x) (- (pow x -3) -1)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* x (- (pow x 2) 1)) 1))))))
#s(approx (* (- (pow x -2) 1) x) #s(hole binary64 (/ 1 x)))
#s(approx (* (- (pow x -2) 1) x) #s(hole binary64 (/ (+ 1 (* -1 (pow x 2))) x)))
#s(approx (- (pow x -3) -1) #s(hole binary64 (/ 1 (pow x 3))))
#s(approx (- (pow x -3) -1) #s(hole binary64 (/ (+ 1 (pow x 3)) (pow x 3))))
#s(approx (pow x -3) #s(hole binary64 (/ 1 (pow x 3))))
#s(approx (+ (- (pow x -2) -1) (/ -1 x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (+ (- (pow x -2) -1) (/ -1 x)) #s(hole binary64 (/ (+ 1 (* -1 x)) (pow x 2))))
#s(approx (+ (- (pow x -2) -1) (/ -1 x)) #s(hole binary64 (/ (+ 1 (* x (- x 1))) (pow x 2))))
#s(approx (- (pow x -2) -1) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (- (pow x -2) -1) #s(hole binary64 (/ (+ 1 (pow x 2)) (pow x 2))))
#s(approx (/ -1 x) #s(hole binary64 (/ -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ -1 x) #s(hole binary64 x))
#s(approx (+ -1 x) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (* (/ (- 1 x) x) x) #s(hole binary64 (* -1 x)))
#s(approx (* (/ (- 1 x) x) x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (/ (- 1 x) x) #s(hole binary64 -1))
#s(approx (/ (- 1 x) x) #s(hole binary64 (- (/ 1 x) 1)))
#s(approx (* (/ (- (pow x -2) 1) (/ (+ (* x x) x) (* x x))) x) #s(hole binary64 (* -1 x)))
#s(approx (* (/ (- (pow x -2) 1) (/ (+ (* x x) x) (* x x))) x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (/ (- (pow x -2) 1) (/ (+ (* x x) x) (* x x))) #s(hole binary64 -1))
#s(approx (/ (- (pow x -2) 1) (/ (+ (* x x) x) (* x x))) #s(hole binary64 (- (/ 1 x) 1)))
#s(approx (- (pow x -2) 1) #s(hole binary64 -1))
#s(approx (- (pow x -2) 1) #s(hole binary64 (- (/ 1 (pow x 2)) 1)))
#s(approx (/ (+ (* x x) x) (* x x)) #s(hole binary64 1))
#s(approx (/ (+ (* x x) x) (* x x)) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (+ (* x x) x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) x) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 x)))))
#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 x -2) 1) x) (- (pow x -3) -1)) (+ (- (pow x -2) -1) (/ -1 x))) #s(hole binary64 (* -1 x)))
#s(approx (* (/ (* (- (pow x -2) 1) x) (- (pow x -3) -1)) (+ (- (pow x -2) -1) (/ -1 x))) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (/ (* (- (pow x -2) 1) x) (- (pow x -3) -1)) #s(hole binary64 (* -1 x)))
#s(approx (/ (* (- (pow x -2) 1) x) (- (pow x -3) -1)) #s(hole binary64 (* x (- (/ 1 (pow x 2)) 1))))
#s(approx (/ (* (- (pow x -2) 1) x) (- (pow x -3) -1)) #s(hole binary64 (* x (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1))))
#s(approx (/ (* (- (pow x -2) 1) x) (- (pow x -3) -1)) #s(hole binary64 (* x (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 5)))))))
#s(approx (* (- (pow x -2) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- (pow x -2) 1) x) #s(hole binary64 (* x (- (/ 1 (pow x 2)) 1))))
#s(approx (- (pow x -3) -1) #s(hole binary64 1))
#s(approx (- (pow x -3) -1) #s(hole binary64 (+ 1 (/ 1 (pow x 3)))))
#s(approx (+ (- (pow x -2) -1) (/ -1 x)) #s(hole binary64 1))
#s(approx (+ (- (pow x -2) -1) (/ -1 x)) #s(hole binary64 (- 1 (/ 1 x))))
#s(approx (+ (- (pow x -2) -1) (/ -1 x)) #s(hole binary64 (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))))
#s(approx (- (pow x -2) -1) #s(hole binary64 1))
#s(approx (- (pow x -2) -1) #s(hole binary64 (+ 1 (/ 1 (pow x 2)))))
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (/ (* (PI) (PI)) 4)) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (+ (* (asin (- 1 x)) (asin (+ -1 x))) (/ (* (PI) (PI)) 4)) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x)))))))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (+ 1 (* -1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (asin (+ -1 x)) #s(hole binary64 (asin (neg (+ 1 (* -1 x))))))
#s(approx (+ -1 x) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (+ 1 (* -1 x)))))
#s(approx (* (/ (- 1 x) x) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* (/ (- (pow x -2) 1) (/ (+ (* x x) x) (* x x))) 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 (* (/ (* (- (pow x -2) 1) x) (- (pow x -3) -1)) (+ (- (pow x -2) -1) (/ -1 x))) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (/ (* (- (pow x -2) 1) x) (- (pow x -3) -1)) #s(hole binary64 (* -1 (* x (- 1 (/ 1 (pow x 2)))))))
#s(approx (/ (* (- (pow x -2) 1) x) (- (pow x -3) -1)) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))))))))
#s(approx (/ (* (- (pow x -2) 1) x) (- (pow x -3) -1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* -1 (/ (- 1 (/ 1 (pow x 2))) (pow x 3)))) (/ 1 (pow x 2)))))))
#s(approx (* (- (pow x -2) 1) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 (pow x 2)))))))
#s(approx (+ (- (pow x -2) -1) (/ -1 x)) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))))

Calls

3 calls:

Time	Variable		Point	Expression
33.0ms	x	@	0	((/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (/ (* (PI) (PI)) 4)) (+ (/ (PI) 2) (asin (- 1 x)))) (+ (* (asin (- 1 x)) (asin (+ -1 x))) (/ (* (PI) (PI)) 4)) (asin (- 1 x)) (- 1 x) 1 x (asin (+ -1 x)) (+ -1 x) -1 (/ (* (PI) (PI)) 4) (* (PI) (PI)) (PI) 4 (+ (/ (PI) 2) (asin (- 1 x))) (/ (PI) 2) 2 (acos (- 1 x)) (- 1 x) (* (/ (- 1 x) x) x) (/ (- 1 x) x) (acos (- 1 x)) (- 1 x) (* (/ (- (pow x -2) 1) (/ (+ (* x x) x) (* x x))) x) (/ (- (pow x -2) 1) (/ (+ (* x x) x) (* x x))) (- (pow x -2) 1) (pow x -2) -2 (/ (+ (* x x) x) (* x x)) (+ (* x x) x) (* x 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) (acos (- 1 x)) (- 1 x) (* (/ (* (- (pow x -2) 1) x) (- (pow x -3) -1)) (+ (- (pow x -2) -1) (/ -1 x))) (/ (* (- (pow x -2) 1) x) (- (pow x -3) -1)) (* (- (pow x -2) 1) x) (- (pow x -3) -1) (pow x -3) -3 (+ (- (pow x -2) -1) (/ -1 x)) (- (pow x -2) -1) (/ -1 x))
27.0ms	x	@	-inf	((/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (/ (* (PI) (PI)) 4)) (+ (/ (PI) 2) (asin (- 1 x)))) (+ (* (asin (- 1 x)) (asin (+ -1 x))) (/ (* (PI) (PI)) 4)) (asin (- 1 x)) (- 1 x) 1 x (asin (+ -1 x)) (+ -1 x) -1 (/ (* (PI) (PI)) 4) (* (PI) (PI)) (PI) 4 (+ (/ (PI) 2) (asin (- 1 x))) (/ (PI) 2) 2 (acos (- 1 x)) (- 1 x) (* (/ (- 1 x) x) x) (/ (- 1 x) x) (acos (- 1 x)) (- 1 x) (* (/ (- (pow x -2) 1) (/ (+ (* x x) x) (* x x))) x) (/ (- (pow x -2) 1) (/ (+ (* x x) x) (* x x))) (- (pow x -2) 1) (pow x -2) -2 (/ (+ (* x x) x) (* x x)) (+ (* x x) x) (* x 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) (acos (- 1 x)) (- 1 x) (* (/ (* (- (pow x -2) 1) x) (- (pow x -3) -1)) (+ (- (pow x -2) -1) (/ -1 x))) (/ (* (- (pow x -2) 1) x) (- (pow x -3) -1)) (* (- (pow x -2) 1) x) (- (pow x -3) -1) (pow x -3) -3 (+ (- (pow x -2) -1) (/ -1 x)) (- (pow x -2) -1) (/ -1 x))
14.0ms	x	@	inf	((/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (/ (* (PI) (PI)) 4)) (+ (/ (PI) 2) (asin (- 1 x)))) (+ (* (asin (- 1 x)) (asin (+ -1 x))) (/ (* (PI) (PI)) 4)) (asin (- 1 x)) (- 1 x) 1 x (asin (+ -1 x)) (+ -1 x) -1 (/ (* (PI) (PI)) 4) (* (PI) (PI)) (PI) 4 (+ (/ (PI) 2) (asin (- 1 x))) (/ (PI) 2) 2 (acos (- 1 x)) (- 1 x) (* (/ (- 1 x) x) x) (/ (- 1 x) x) (acos (- 1 x)) (- 1 x) (* (/ (- (pow x -2) 1) (/ (+ (* x x) x) (* x x))) x) (/ (- (pow x -2) 1) (/ (+ (* x x) x) (* x x))) (- (pow x -2) 1) (pow x -2) -2 (/ (+ (* x x) x) (* x x)) (+ (* x x) x) (* x 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) (acos (- 1 x)) (- 1 x) (* (/ (* (- (pow x -2) 1) x) (- (pow x -3) -1)) (+ (- (pow x -2) -1) (/ -1 x))) (/ (* (- (pow x -2) 1) x) (- (pow x -3) -1)) (* (- (pow x -2) 1) x) (- (pow x -3) -1) (pow x -3) -3 (+ (- (pow x -2) -1) (/ -1 x)) (- (pow x -2) -1) (/ -1 x))

Time

Variable

Point

Expression

33.0ms

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

27.0ms

-inf

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

14.0ms

inf

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

rewrite158.0ms (5.8%)

Memory

24.7MiB live, 161.0MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	297	2139
0	361	1972
1	1196	1676
0	9308	1669

Stop Event

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

Counts

158 → 933

Calls

Call 1

Inputs
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (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) (PI.f64)) #s(literal 4 binary64)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(asin.f64 (+.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
#s(literal 4 binary64)
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (PI.f64) #s(literal 2 binary64))
#s(literal 2 binary64)
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)))
#s(approx (- 1 x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 x x x) (.f64 x x))) x)))
#s(approx (- 1 x) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 x x x) (.f64 x x))) x))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 x x x) (.f64 x x))) x)
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 x x x) (*.f64 x x)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 (fma.f64 x x x) (*.f64 x x))
(fma.f64 x x x)
(*.f64 x 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)
(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) 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)) (/.f64 #s(literal -1 binary64) x)))))
#s(approx (- 1 x) (.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) 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)) (/.f64 #s(literal -1 binary64) x))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) 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)) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) 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)) x)
(-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal -3 binary64))
#s(literal -3 binary64)
(+.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) x)
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (/ (* (PI) (PI)) 4)) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (- x 1)))) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (+ (* (asin (- 1 x)) (asin (+ -1 x))) (/ (* (PI) (PI)) 4)) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (- x 1))))))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (- 1 x))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (asin (+ -1 x)) #s(hole binary64 (asin (- x 1))))
#s(approx (+ -1 x) #s(hole binary64 -1))
#s(approx (+ -1 x) #s(hole binary64 (- x 1)))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (- 1 x)) (* 1/2 (PI)))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (- 1 x))))
#s(approx (* (/ (- 1 x) x) x) #s(hole binary64 1))
#s(approx (* (/ (- 1 x) x) x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ (- 1 x) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (- 1 x) x) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (* (/ (- (pow x -2) 1) (/ (+ (* x x) x) (* x x))) x) #s(hole binary64 1))
#s(approx (* (/ (- (pow x -2) 1) (/ (+ (* x x) x) (* x x))) x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ (- (pow x -2) 1) (/ (+ (* x x) x) (* x x))) #s(hole binary64 (/ 1 x)))
#s(approx (/ (- (pow x -2) 1) (/ (+ (* x x) x) (* x x))) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (- (pow x -2) 1) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (- (pow x -2) 1) #s(hole binary64 (/ (+ 1 (* -1 (pow x 2))) (pow x 2))))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ (+ (* x x) x) (* x x)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* x x) x) (* x x)) #s(hole binary64 (/ (+ 1 x) x)))
#s(approx (+ (* x x) x) #s(hole binary64 x))
#s(approx (+ (* x x) x) #s(hole binary64 (* x (+ 1 x))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#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 (* (/ (* (- (pow x -2) 1) x) (- (pow x -3) -1)) (+ (- (pow x -2) -1) (/ -1 x))) #s(hole binary64 1))
#s(approx (* (/ (* (- (pow x -2) 1) x) (- (pow x -3) -1)) (+ (- (pow x -2) -1) (/ -1 x))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ (* (- (pow x -2) 1) x) (- (pow x -3) -1)) #s(hole binary64 (pow x 2)))
#s(approx (/ (* (- (pow x -2) 1) x) (- (pow x -3) -1)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (pow x 2))))))
#s(approx (/ (* (- (pow x -2) 1) x) (- (pow x -3) -1)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* -1 x) 1))))))
#s(approx (/ (* (- (pow x -2) 1) x) (- (pow x -3) -1)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* x (- (pow x 2) 1)) 1))))))
#s(approx (* (- (pow x -2) 1) x) #s(hole binary64 (/ 1 x)))
#s(approx (* (- (pow x -2) 1) x) #s(hole binary64 (/ (+ 1 (* -1 (pow x 2))) x)))
#s(approx (- (pow x -3) -1) #s(hole binary64 (/ 1 (pow x 3))))
#s(approx (- (pow x -3) -1) #s(hole binary64 (/ (+ 1 (pow x 3)) (pow x 3))))
#s(approx (pow x -3) #s(hole binary64 (/ 1 (pow x 3))))
#s(approx (+ (- (pow x -2) -1) (/ -1 x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (+ (- (pow x -2) -1) (/ -1 x)) #s(hole binary64 (/ (+ 1 (* -1 x)) (pow x 2))))
#s(approx (+ (- (pow x -2) -1) (/ -1 x)) #s(hole binary64 (/ (+ 1 (* x (- x 1))) (pow x 2))))
#s(approx (- (pow x -2) -1) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (- (pow x -2) -1) #s(hole binary64 (/ (+ 1 (pow x 2)) (pow x 2))))
#s(approx (/ -1 x) #s(hole binary64 (/ -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ -1 x) #s(hole binary64 x))
#s(approx (+ -1 x) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (* (/ (- 1 x) x) x) #s(hole binary64 (* -1 x)))
#s(approx (* (/ (- 1 x) x) x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (/ (- 1 x) x) #s(hole binary64 -1))
#s(approx (/ (- 1 x) x) #s(hole binary64 (- (/ 1 x) 1)))
#s(approx (* (/ (- (pow x -2) 1) (/ (+ (* x x) x) (* x x))) x) #s(hole binary64 (* -1 x)))
#s(approx (* (/ (- (pow x -2) 1) (/ (+ (* x x) x) (* x x))) x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (/ (- (pow x -2) 1) (/ (+ (* x x) x) (* x x))) #s(hole binary64 -1))
#s(approx (/ (- (pow x -2) 1) (/ (+ (* x x) x) (* x x))) #s(hole binary64 (- (/ 1 x) 1)))
#s(approx (- (pow x -2) 1) #s(hole binary64 -1))
#s(approx (- (pow x -2) 1) #s(hole binary64 (- (/ 1 (pow x 2)) 1)))
#s(approx (/ (+ (* x x) x) (* x x)) #s(hole binary64 1))
#s(approx (/ (+ (* x x) x) (* x x)) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (+ (* x x) x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) x) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 x)))))
#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 x -2) 1) x) (- (pow x -3) -1)) (+ (- (pow x -2) -1) (/ -1 x))) #s(hole binary64 (* -1 x)))
#s(approx (* (/ (* (- (pow x -2) 1) x) (- (pow x -3) -1)) (+ (- (pow x -2) -1) (/ -1 x))) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (/ (* (- (pow x -2) 1) x) (- (pow x -3) -1)) #s(hole binary64 (* -1 x)))
#s(approx (/ (* (- (pow x -2) 1) x) (- (pow x -3) -1)) #s(hole binary64 (* x (- (/ 1 (pow x 2)) 1))))
#s(approx (/ (* (- (pow x -2) 1) x) (- (pow x -3) -1)) #s(hole binary64 (* x (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1))))
#s(approx (/ (* (- (pow x -2) 1) x) (- (pow x -3) -1)) #s(hole binary64 (* x (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 5)))))))
#s(approx (* (- (pow x -2) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- (pow x -2) 1) x) #s(hole binary64 (* x (- (/ 1 (pow x 2)) 1))))
#s(approx (- (pow x -3) -1) #s(hole binary64 1))
#s(approx (- (pow x -3) -1) #s(hole binary64 (+ 1 (/ 1 (pow x 3)))))
#s(approx (+ (- (pow x -2) -1) (/ -1 x)) #s(hole binary64 1))
#s(approx (+ (- (pow x -2) -1) (/ -1 x)) #s(hole binary64 (- 1 (/ 1 x))))
#s(approx (+ (- (pow x -2) -1) (/ -1 x)) #s(hole binary64 (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))))
#s(approx (- (pow x -2) -1) #s(hole binary64 1))
#s(approx (- (pow x -2) -1) #s(hole binary64 (+ 1 (/ 1 (pow x 2)))))
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (/ (* (PI) (PI)) 4)) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (+ (* (asin (- 1 x)) (asin (+ -1 x))) (/ (* (PI) (PI)) 4)) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x)))))))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (+ 1 (* -1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (asin (+ -1 x)) #s(hole binary64 (asin (neg (+ 1 (* -1 x))))))
#s(approx (+ -1 x) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (+ 1 (* -1 x)))))
#s(approx (* (/ (- 1 x) x) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* (/ (- (pow x -2) 1) (/ (+ (* x x) x) (* x x))) 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 (* (/ (* (- (pow x -2) 1) x) (- (pow x -3) -1)) (+ (- (pow x -2) -1) (/ -1 x))) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (/ (* (- (pow x -2) 1) x) (- (pow x -3) -1)) #s(hole binary64 (* -1 (* x (- 1 (/ 1 (pow x 2)))))))
#s(approx (/ (* (- (pow x -2) 1) x) (- (pow x -3) -1)) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))))))))
#s(approx (/ (* (- (pow x -2) 1) x) (- (pow x -3) -1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* -1 (/ (- 1 (/ 1 (pow x 2))) (pow x 3)))) (/ 1 (pow x 2)))))))
#s(approx (* (- (pow x -2) 1) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 (pow x 2)))))))
#s(approx (+ (- (pow x -2) -1) (/ -1 x)) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))))

Outputs
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (neg.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (neg.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (.f64 (/.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (neg.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (neg.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (neg.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (neg.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (-.f64 (.f64 (/.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (neg.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #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 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 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 (-.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 (PI.f64) (/.f64 (PI.f64) #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 (neg.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.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))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (PI.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)))))
(neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (neg.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (/.f64 (PI.f64) #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 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (/.f64 (PI.f64) #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 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (neg.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (neg.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
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(/.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(neg.f64 (/.f64 (neg.f64 (PI.f64)) #s(literal 2 binary64)))
(neg.f64 (/.f64 (PI.f64) #s(literal -2 binary64)))
#s(literal 2 binary64)
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(acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)))
#s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))
(.f64 (.f64 x (/.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal -2 binary64))) (fma.f64 x x x))) (.f64 x x))
(.f64 (/.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal -2 binary64))) (fma.f64 x x x)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)
(*.f64 x (expm1.f64 (neg.f64 (log.f64 x))))
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(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (neg.f64 x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) x)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) x)
(/.f64 (.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal -2 binary64))) (neg.f64 x)) (/.f64 (-.f64 #s(literal -1 binary64) x) x))
(/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (neg.f64 x))
(/.f64 (.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal -2 binary64))) x) (/.f64 (-.f64 x #s(literal -1 binary64)) x))
(.f64 (.f64 (/.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) (fma.f64 x x x)) (fabs.f64 x)) (fabs.f64 x))
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(/.f64 (-.f64 x (.f64 x x)) (.f64 x x))
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(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))))) (/.f64 (-.f64 x #s(literal -1 binary64)) x))
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(/.f64 (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64))) (.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (neg.f64 x) (.f64 (neg.f64 x) x)) (.f64 (neg.f64 x) x))
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(/.f64 (fma.f64 #s(literal -1 binary64) x (.f64 x x)) (.f64 (neg.f64 x) x))
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(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(/.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 x))
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(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(expm1.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 0 binary64)))
(expm1.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (log.f64 x))))
(expm1.f64 (neg.f64 (log.f64 x)))
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(-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
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#s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))
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#s(approx (+ (- (pow x -2) -1) (/ -1 x)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) x)))
#s(approx (- (pow x -2) -1) #s(literal 1 binary64))
#s(approx (- (pow x -2) -1) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (/ (* (PI) (PI)) 4)) (+ (/ (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 (+ -1 x))) (/ (* (PI) (PI)) 4)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
#s(approx (asin (- 1 x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 x) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x))
#s(approx (asin (+ -1 x)) (asin.f64 (-.f64 x #s(literal 1 binary64))))
#s(approx (+ -1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) (neg.f64 x)))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (/ (* (PI) (PI)) 4)) (+ (/ (PI) 2) (asin (- 1 x)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (- (exp (* (log x) -1)) 1) x) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x))
#s(approx (* (- (exp (* (log x) -1)) 1) x) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x))
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (/ (* (PI) (PI)) 4)) (+ (/ (PI) 2) (asin (- 1 x)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (* (- (exp (* (log x) -1)) 1) x) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x))
#s(approx (* (log x) -1) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64))))
#s(approx (log x) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (* (/ (* (- (pow x -2) 1) x) (- (pow x -3) -1)) (+ (- (pow x -2) -1) (/ -1 x))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x))
#s(approx (/ (* (- (pow x -2) 1) x) (- (pow x -3) -1)) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) x))
#s(approx (/ (* (- (pow x -2) 1) x) (- (pow x -3) -1)) (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -2 binary64)))) (neg.f64 x)))
#s(approx (/ (* (- (pow x -2) 1) x) (- (pow x -3) -1)) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -5 binary64)))) (pow.f64 x #s(literal -2 binary64))) (neg.f64 x)))
#s(approx (* (- (pow x -2) 1) x) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) x))
#s(approx (+ (- (pow x -2) -1) (/ -1 x)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) x)))

eval102.0ms (3.7%)

Memory: -7.0MiB live, 131.4MiB allocated; 21ms collecting garbage
Compiler: Compiled 31 504 to 4 978 computations (84.2% saved)

prune45.0ms (1.7%)

Memory

23.6MiB live, 70.5MiB allocated; 2ms collecting garbage

Pruning

35 alts after pruning (30 fresh and 5 done)

	Pruned	Kept	Total
New	1 011	15	1 026
Fresh	7	15	22
Picked	5	0	5
Done	0	5	5
Total	1 023	35	1 058

Accuracy

9.1%

Counts

1 058 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	1.2%	(fma.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (neg.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
	8.0%	(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (neg.f64 x)))))
	8.5%	(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))
	8.9%	(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) #s(approx (+ (/ (PI) 2) (asin (- 1 x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
	8.8%	(/.f64 (fma.f64 (asin.f64 #s(approx (- 1 x) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x))) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	8.9%	(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	5.1%	(/.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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))))))
	8.9%	(-.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))))
	4.2%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))))
	3.3%	(-.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
✓	5.1%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
	2.5%	(acos.f64 #s(approx (- 1 x) (/.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)) (/.f64 #s(literal -1 binary64) x)))))
	3.4%	(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 (fma.f64 x x x) (.f64 x x))) x)))
	3.5%	(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) x)))
	2.9%	(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)) (/.f64 #s(literal -1 binary64) x))) x)))
	3.4%	(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) #s(literal 1 binary64)) (/.f64 (fma.f64 x x x) (.f64 x x))) x)))
	3.6%	(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (fma.f64 x x x) (*.f64 x x))) x)))
	2.7%	(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (/.f64 (-.f64 x #s(literal -1 binary64)) x))) x)))
	3.7%	(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 (-.f64 x (.f64 x x)) (*.f64 x x)) x)))
	3.5%	(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) x))))
	4.2%	(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) x) x)))
	5.4%	(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)))
✓	3.5%	(acos.f64 #s(approx (- 1 x) (.f64 (-.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)))
	3.4%	(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))))
	4.2%	(acos.f64 #s(approx (- 1 x) (.f64 (-.f64 (exp.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)) x)))
	4.2%	(acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)))
	4.2%	(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (/ (- (pow x -2) 1) (- (pow x -1) -1)) (pow.f64 x #s(literal -1 binary64))) x)))
	3.1%	(acos.f64 #s(approx (- 1 x) (.f64 #s(approx (/ ( (- (pow x -2) 1) x) (- (pow x -3) -1)) (*.f64 x x)) (+.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)))))
✓	6.8%	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
✓	3.8%	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
	1.3%	#s(approx (acos (- 1 x)) (fma.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (asin.f64 (-.f64 x #s(literal 1 binary64)))))))
	1.3%	#s(approx (acos (- 1 x)) (fma.f64 (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	3.3%	#s(approx (acos (- 1 x)) (-.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	3.3%	#s(approx (acos (- 1 x)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
✓	5.1%	#s(approx (acos (- 1 x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 2 054 to 834 computations (59.4% saved)

regimes122.0ms (4.4%)

Memory

-33.7MiB live, 69.8MiB allocated; 135ms collecting garbage

Counts

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

Outputs

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

Calls

3 calls:

90.0ms	x
11.0ms	(-.f64 #s(literal 1 binary64) x)
11.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
8.9%	1	`(-.f64 #s(literal 1 binary64) x)`
8.9%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
8.9%	1	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes25.0ms (0.9%)

Memory

45.4MiB live, 45.4MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

3 calls:

9.0ms	x
7.0ms	(-.f64 #s(literal 1 binary64) x)
7.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

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

Compiler

Compiled 8 to 8 computations (0% saved)

regimes10.0ms (0.4%)

Memory

-37.6MiB live, 7.0MiB allocated; 13ms 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:

8.0ms	x
1.0ms	(-.f64 #s(literal 1 binary64) x)
1.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

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

Compiler

Compiled 8 to 8 computations (0% saved)

derivations75.0ms (2.7%)

Memory

3.2MiB live, 47.6MiB allocated; 25ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 44 to 28 computations (36.4% saved)

preprocess21.0ms (0.8%)

Memory: 41.0MiB live, 41.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 110 to 76 computations (30.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (46.5%)

explain101.0ms (3.7%)

preprocess87.0ms (3.2%)

series1.0ms (0%)

rewrite48.0ms (1.7%)

eval3.0ms (0.1%)

prune4.0ms (0.2%)

series11.0ms (0.4%)

rewrite113.0ms (4.1%)

eval50.0ms (1.8%)

prune43.0ms (1.6%)

series27.0ms (1%)

rewrite180.0ms (6.6%)

eval126.0ms (4.6%)

prune39.0ms (1.4%)

series76.0ms (2.8%)

rewrite158.0ms (5.8%)

eval102.0ms (3.7%)

prune45.0ms (1.7%)

regimes122.0ms (4.4%)

regimes25.0ms (0.9%)

regimes10.0ms (0.4%)

derivations75.0ms (2.7%)

preprocess21.0ms (0.8%)

end0.0ms (0%)

Profiling