bug323 (missed optimization)

Time bar (total: 2.8s)

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
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)

sample1.6s (56.2%)

Memory
30.0MiB live, 1 144.2MiB allocated; 817ms collecting garbage
Samples
1.0s3 943×2valid
350.0ms4 164×1valid
6.0ms149×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-acos: 536.0ms (46.8% of total)
adjust: 430.0ms (37.6% of total)
ival-sub!: 179.0ms (15.6% of total)
Bogosity

preprocess153.0ms (5.4%)

Memory
-13.0MiB live, 32.9MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0815
11815
23815
312615
473313
5655213
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.8%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 8 computations (0% saved)

series1.0ms (0%)

Memory
1.4MiB live, 1.4MiB 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:

TimeVariablePointExpression
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)

rewrite51.0ms (1.8%)

Memory
5.0MiB live, 49.0MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02477
02572
19071
061471
Stop Event
iter-limit
iter-limit
node-limit
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) (*.f64 (*.f64 x x) x))) (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) (*.f64 (*.f64 x x) x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (+.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 (*.f64 (*.f64 x x) x) (+.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 (*.f64 (*.f64 x x) (neg.f64 x)) (+.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 (/.f64 #s(literal 1 binary64) x) #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) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))

eval3.0ms (0.1%)

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

Compiled 184 to 109 computations (40.8% saved)

prune4.0ms (0.1%)

Memory
7.2MiB live, 7.2MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New24630
Fresh000
Picked011
Done000
Total24731
Accuracy
10.5%
Counts
31 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.8%
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
7.8%
(/.f64 (-.f64 (*.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))))
7.8%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
7.8%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
8.1%
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
7.1%
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
3.8%
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
Compiler

Compiled 156 to 116 computations (25.6% saved)

series9.0ms (0.3%)

Memory
7.7MiB live, 7.7MiB allocated; 0ms collecting garbage
Counts
23 → 24
Calls
Call 1
Inputs
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
Outputs
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (- 1 x))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx x #s(hole binary64 x))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (- 1 x)))))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (- 1 x))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (- 1 x)) 2))))
#s(approx (* (asin (- 1 x)) (asin (- 1 x))) #s(hole binary64 (pow (asin (- 1 x)) 2)))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (- 1 x)) (* 1/2 (PI)))))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (/ 1 x) 1) #s(hole binary64 -1))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (- (/ 1 x) 1)))
#s(approx (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 (/ (- (* (/ (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:

TimeVariablePointExpression
3.0ms
x
@-inf
((acos (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x) 1 x (acos (- 1 x)) (- 1 x) (acos (- 1 x)) (- 1 x) (neg x) (- (/ (PI) 2) (asin (- 1 x))) (/ (PI) 2) (PI) 2 (asin (- 1 x)) (- 1 x) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x))) (+ (/ (PI) 2) (asin (- 1 x))))
3.0ms
x
@0
((acos (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x) 1 x (acos (- 1 x)) (- 1 x) (acos (- 1 x)) (- 1 x) (neg x) (- (/ (PI) 2) (asin (- 1 x))) (/ (PI) 2) (PI) 2 (asin (- 1 x)) (- 1 x) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x))) (+ (/ (PI) 2) (asin (- 1 x))))
2.0ms
x
@inf
((acos (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x) 1 x (acos (- 1 x)) (- 1 x) (acos (- 1 x)) (- 1 x) (neg x) (- (/ (PI) 2) (asin (- 1 x))) (/ (PI) 2) (PI) 2 (asin (- 1 x)) (- 1 x) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x))) (+ (/ (PI) 2) (asin (- 1 x))))

rewrite82.0ms (2.9%)

Memory
8.1MiB live, 54.4MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085548
0112398
1349396
02689394
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
47 → 308
Calls
Call 1
Inputs
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (- 1 x))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx x #s(hole binary64 x))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (- 1 x)))))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (- 1 x))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (- 1 x)) 2))))
#s(approx (* (asin (- 1 x)) (asin (- 1 x))) #s(hole binary64 (pow (asin (- 1 x)) 2)))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (- 1 x)) (* 1/2 (PI)))))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (/ 1 x) 1) #s(hole binary64 -1))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (- (/ 1 x) 1)))
#s(approx (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 (/ (- (* (/ (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 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) #s(literal 3 binary64))) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))))))
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#s(approx (- 1 x) #s(literal 1 binary64))
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#s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x))
#s(approx x x)
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#s(approx (asin (- 1 x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (* (asin (- 1 x)) (asin (- 1 x))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (- (/ 1 x) 1) #s(literal -1 binary64))
#s(approx (- (/ 1 x) 1) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (asin (- 1 x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (* (asin (- 1 x)) (asin (- 1 x))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))

eval38.0ms (1.3%)

Memory
-3.5MiB live, 47.8MiB allocated; 11ms collecting garbage
Compiler

Compiled 5 006 to 1 127 computations (77.5% saved)

prune35.0ms (1.2%)

Memory
-18.0MiB live, 29.3MiB allocated; 2ms collecting garbage
Pruning

29 alts after pruning (26 fresh and 3 done)

PrunedKeptTotal
New26726293
Fresh101
Picked325
Done011
Total27129300
Accuracy
11.8%
Counts
300 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
11.5%
(fma.f64 (/.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (/.f64 (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
11.5%
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
11.5%
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
11.5%
(/.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
11.5%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
7.8%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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))))
7.8%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
7.8%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
11.5%
(/.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))) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (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 (*.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 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
7.8%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
6.0%
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
6.0%
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
7.8%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
7.8%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
11.5%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
6.0%
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
7.8%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
5.2%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) x) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
6.0%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
8.0%
(acos.f64 #s(approx (- 1 x) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) x)))
5.4%
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))
6.2%
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) x)))
7.3%
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)) x)))
7.3%
(acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x)))
4.3%
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
7.1%
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
3.8%
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
7.8%
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
Compiler

Compiled 1 266 to 822 computations (35.1% saved)

series13.0ms (0.5%)

Memory
26.2MiB live, 26.2MiB allocated; 0ms collecting garbage
Counts
43 → 33
Calls
Call 1
Inputs
(/.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))) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
(-.f64 (*.f64 (/.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))) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (*.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 (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 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 1/2 binary64)
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
#s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x))
(*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)
#s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x))
(/.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)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
#s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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) (PI.f64)) #s(literal 4 binary64)) (*.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 (PI.f64) (PI.f64))
#s(literal 4 binary64)
(*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
(sqrt.f64 (PI.f64))
(/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(+.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
Outputs
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) #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)) (* (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (- 1 x)) 2))))
#s(approx (* (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2))) #s(hole binary64 (pow (asin (- 1 x)) 2)))
#s(approx (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) #s(hole binary64 (asin (- 1 x))))
#s(approx (pow (asin (- 1 x)) 1/2) #s(hole binary64 (sqrt (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 (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2))) #s(hole binary64 (+ (asin (- 1 x)) (* 1/2 (PI)))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (- 1 x))))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (* (- (/ 1 (* x x)) 1) x) #s(hole binary64 (/ (+ 1 (* -1 (pow x 2))) x)))
#s(approx (- (/ 1 (* x x)) 1) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (- (/ 1 (* x x)) 1) #s(hole binary64 (/ (+ 1 (* -1 (pow x 2))) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (/ 1 x) -1) #s(hole binary64 (/ (+ 1 x) x)))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (/ 1 x) 1) #s(hole binary64 -1))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (- (/ 1 x) 1)))
#s(approx (* (- (/ 1 (* x x)) 1) x) #s(hole binary64 (* x (- (/ 1 (pow x 2)) 1))))
#s(approx (- (/ 1 (* x x)) 1) #s(hole binary64 (- (/ 1 (pow x 2)) 1)))
#s(approx (- (/ 1 x) -1) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) #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)) (* (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (+ 1 (* -1 x))) 2))))
#s(approx (* (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2))) #s(hole binary64 (pow (asin (+ 1 (* -1 x))) 2)))
#s(approx (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) #s(hole binary64 (asin (+ 1 (* -1 x)))))
#s(approx (pow (asin (- 1 x)) 1/2) #s(hole binary64 (sqrt (asin (+ 1 (* -1 x))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2))) #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)) 1) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 (pow x 2)))))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@inf
((/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) (* (/ (PI) 2) (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2))) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) (pow (asin (- 1 x)) 1/2) (asin (- 1 x)) (- 1 x) 1 x 1/2 (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2))) (acos (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x) (acos (- 1 x)) (- 1 x) (/ (* (- (/ 1 (* x x)) 1) x) (- (/ 1 x) -1)) (* (- (/ 1 (* x x)) 1) x) (- (/ 1 (* x x)) 1) (/ 1 (* x x)) (* x x) (- (/ 1 x) -1) -1 (/ (- (/ (* (PI) (PI)) 4) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (- (/ (* (PI) (PI)) 4) (* (asin (- 1 x)) (asin (- 1 x)))) (/ (* (PI) (PI)) 4) (* (PI) (PI)) 4 (* (asin (- 1 x)) (asin (- 1 x))) (+ (/ (PI) 2) (asin (- 1 x))) (/ (- (* (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* (sqrt (PI)) (/ (sqrt (PI)) 2))) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin (- 1 x)))) (- (* (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* (sqrt (PI)) (/ (sqrt (PI)) 2))) (* (asin (- 1 x)) (asin (- 1 x)))) (* (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* (sqrt (PI)) (/ (sqrt (PI)) 2))) (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (sqrt (PI)) (/ (sqrt (PI)) 2) (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin (- 1 x))))
3.0ms
x
@0
((/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) (* (/ (PI) 2) (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2))) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) (pow (asin (- 1 x)) 1/2) (asin (- 1 x)) (- 1 x) 1 x 1/2 (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2))) (acos (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x) (acos (- 1 x)) (- 1 x) (/ (* (- (/ 1 (* x x)) 1) x) (- (/ 1 x) -1)) (* (- (/ 1 (* x x)) 1) x) (- (/ 1 (* x x)) 1) (/ 1 (* x x)) (* x x) (- (/ 1 x) -1) -1 (/ (- (/ (* (PI) (PI)) 4) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (- (/ (* (PI) (PI)) 4) (* (asin (- 1 x)) (asin (- 1 x)))) (/ (* (PI) (PI)) 4) (* (PI) (PI)) 4 (* (asin (- 1 x)) (asin (- 1 x))) (+ (/ (PI) 2) (asin (- 1 x))) (/ (- (* (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* (sqrt (PI)) (/ (sqrt (PI)) 2))) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin (- 1 x)))) (- (* (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* (sqrt (PI)) (/ (sqrt (PI)) 2))) (* (asin (- 1 x)) (asin (- 1 x)))) (* (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* (sqrt (PI)) (/ (sqrt (PI)) 2))) (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (sqrt (PI)) (/ (sqrt (PI)) 2) (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin (- 1 x))))
3.0ms
x
@-inf
((/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) (* (/ (PI) 2) (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2))) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) (pow (asin (- 1 x)) 1/2) (asin (- 1 x)) (- 1 x) 1 x 1/2 (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2))) (acos (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x) (acos (- 1 x)) (- 1 x) (/ (* (- (/ 1 (* x x)) 1) x) (- (/ 1 x) -1)) (* (- (/ 1 (* x x)) 1) x) (- (/ 1 (* x x)) 1) (/ 1 (* x x)) (* x x) (- (/ 1 x) -1) -1 (/ (- (/ (* (PI) (PI)) 4) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (- (/ (* (PI) (PI)) 4) (* (asin (- 1 x)) (asin (- 1 x)))) (/ (* (PI) (PI)) 4) (* (PI) (PI)) 4 (* (asin (- 1 x)) (asin (- 1 x))) (+ (/ (PI) 2) (asin (- 1 x))) (/ (- (* (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* (sqrt (PI)) (/ (sqrt (PI)) 2))) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin (- 1 x)))) (- (* (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* (sqrt (PI)) (/ (sqrt (PI)) 2))) (* (asin (- 1 x)) (asin (- 1 x)))) (* (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* (sqrt (PI)) (/ (sqrt (PI)) 2))) (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (sqrt (PI)) (/ (sqrt (PI)) 2) (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin (- 1 x))))

rewrite68.0ms (2.4%)

Memory
-30.2MiB live, 59.4MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01321162
0184789
0634785
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
76 → 258
Calls
Call 1
Inputs
(/.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))) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
(-.f64 (*.f64 (/.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))) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (*.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 (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 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 1/2 binary64)
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
#s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x))
(*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)
#s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x))
(/.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)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
#s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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) (PI.f64)) #s(literal 4 binary64)) (*.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 (PI.f64) (PI.f64))
#s(literal 4 binary64)
(*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
(sqrt.f64 (PI.f64))
(/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(+.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) #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)) (* (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (- 1 x)) 2))))
#s(approx (* (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2))) #s(hole binary64 (pow (asin (- 1 x)) 2)))
#s(approx (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) #s(hole binary64 (asin (- 1 x))))
#s(approx (pow (asin (- 1 x)) 1/2) #s(hole binary64 (sqrt (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 (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2))) #s(hole binary64 (+ (asin (- 1 x)) (* 1/2 (PI)))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (- 1 x))))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (* (- (/ 1 (* x x)) 1) x) #s(hole binary64 (/ (+ 1 (* -1 (pow x 2))) x)))
#s(approx (- (/ 1 (* x x)) 1) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (- (/ 1 (* x x)) 1) #s(hole binary64 (/ (+ 1 (* -1 (pow x 2))) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (/ 1 x) -1) #s(hole binary64 (/ (+ 1 x) x)))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (/ 1 x) 1) #s(hole binary64 -1))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (- (/ 1 x) 1)))
#s(approx (* (- (/ 1 (* x x)) 1) x) #s(hole binary64 (* x (- (/ 1 (pow x 2)) 1))))
#s(approx (- (/ 1 (* x x)) 1) #s(hole binary64 (- (/ 1 (pow x 2)) 1)))
#s(approx (- (/ 1 x) -1) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) #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)) (* (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (+ 1 (* -1 x))) 2))))
#s(approx (* (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2))) #s(hole binary64 (pow (asin (+ 1 (* -1 x))) 2)))
#s(approx (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) #s(hole binary64 (asin (+ 1 (* -1 x)))))
#s(approx (pow (asin (- 1 x)) 1/2) #s(hole binary64 (sqrt (asin (+ 1 (* -1 x))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2))) #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)) 1) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 (pow x 2)))))))
Outputs
(/.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 (fma.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (fma.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.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)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (*.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (fma.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))
(fma.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (fabs.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (fabs.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (fabs.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (fabs.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (PI.f64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (PI.f64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(+.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (fabs.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (fabs.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(*.f64 (PI.f64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64))
(/.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal -4 binary64))
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (*.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (fabs.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fabs.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (fabs.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (fabs.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(*.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(*.f64 (fabs.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fabs.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 1/2 binary64)
(/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.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 (*.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 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))))
(/.f64 (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (fabs.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fabs.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (PI.f64) #s(literal 2 binary64)))
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(fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))
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(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x))))
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
#s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x))
(*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)
(*.f64 x #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) x)
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
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(fma.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (PI.f64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (PI.f64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(+.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (fabs.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (fabs.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(*.f64 (PI.f64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64))
(/.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal -4 binary64))
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(pow.f64 (PI.f64) #s(literal 1/2 binary64))
(sqrt.f64 (PI.f64))
(/.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal -2 binary64))
(/.f64 (sqrt.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 (*.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 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (* (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (pow (asin (- 1 x)) 1/2) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (+.f64 (neg.f64 x) #s(literal 1 binary64)))
#s(approx x x)
#s(approx (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (acos (- 1 x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 x) 1) (/.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) x))
#s(approx (* (- (/ 1 (* x x)) 1) x) (/.f64 (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) x))
#s(approx (- (/ 1 (* x x)) 1) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (- (/ 1 (* x x)) 1) (/.f64 (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* x x) (*.f64 x x))
#s(approx (- (/ 1 x) -1) (/.f64 (+.f64 x #s(literal 1 binary64)) x))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (- (/ 1 x) 1) #s(literal -1 binary64))
#s(approx (- (/ 1 x) 1) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
#s(approx (* (- (/ 1 (* x x)) 1) x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x))
#s(approx (- (/ 1 (* x x)) 1) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (- (/ 1 x) -1) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))) (asin.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))) (asin.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))))))
#s(approx (* (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2))) (*.f64 (asin.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))) (asin.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)))))
#s(approx (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) (asin.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))))
#s(approx (pow (asin (- 1 x)) 1/2) (sqrt.f64 (asin.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)))))
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)))))
#s(approx (acos (- 1 x)) (acos.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))))
#s(approx (* (- (/ 1 (* x x)) 1) x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))

eval20.0ms (0.7%)

Memory
40.9MiB live, 40.9MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 984 to 760 computations (74.5% saved)

prune90.0ms (3.2%)

Memory
-35.8MiB live, 76.3MiB allocated; 62ms collecting garbage
Pruning

44 alts after pruning (39 fresh and 5 done)

PrunedKeptTotal
New14421165
Fresh31821
Picked325
Done033
Total15044194
Accuracy
11.9%
Counts
194 → 44
Alt Table
Click to see full alt table
StatusAccuracyProgram
11.5%
(fma.f64 (/.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (/.f64 (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
11.6%
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (+.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)))))
11.5%
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
11.5%
(/.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (+.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)))))
11.5%
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
11.5%
(/.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
11.5%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
7.8%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
7.8%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
11.5%
(/.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))) (*.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))))) (fma.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (PI.f64) #s(literal 2 binary64))))
11.5%
(/.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))) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) (/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.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 (*.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 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))))
6.6%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.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 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) (/.f64 (*.f64 (+.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 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))
6.0%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))) (*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))))))
11.5%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
7.8%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
7.8%
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))) (*.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))) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) (+.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.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)))))
11.5%
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.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))) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
6.0%
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
6.7%
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))))) (+.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))))
11.5%
(/.f64 (*.f64 (fma.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
7.8%
(/.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))) (fma.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (PI.f64) #s(literal 2 binary64))))
7.8%
(-.f64 (/.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (fma.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.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)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
7.8%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
7.8%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
11.5%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
6.0%
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
7.8%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
4.7%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
5.8%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
5.8%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
5.2%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) x) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
5.9%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
4.5%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 #s(approx (- (/ 1 (* x x)) 1) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
8.0%
(acos.f64 #s(approx (- 1 x) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) x)))
5.4%
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))
6.2%
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) x)))
6.0%
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
7.3%
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)) x)))
7.3%
(acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x)))
4.3%
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
7.1%
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
3.8%
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
7.8%
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
7.8%
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
Compiler

Compiled 2 339 to 1 339 computations (42.8% saved)

series123.0ms (4.4%)

Memory
0.9MiB live, 138.1MiB allocated; 35ms collecting garbage
Counts
44 → 44
Calls
Call 1
Inputs
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (+.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)))))
(fma.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(sqrt.f64 (PI.f64))
(/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(*.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(+.f64 (/.f64 (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))))
(*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
#s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.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))
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal -1 binary64)
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(*.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (+.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)))))
(fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (PI.f64) #s(literal 4 binary64))
#s(literal 4 binary64)
Outputs
#s(approx (/ (+ (* (* (/ (PI) 2) (sqrt (PI))) (/ (sqrt (PI)) 2)) (* (neg (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x)))))) (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) #s(hole binary64 (/ (+ (* -1 (pow (asin (- 1 x)) 2)) (* 1/4 (pow (PI) 2))) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (+ (* (* (/ (PI) 2) (sqrt (PI))) (/ (sqrt (PI)) 2)) (* (neg (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x)))))) #s(hole binary64 (+ (* -1 (pow (asin (- 1 x)) 2)) (* 1/4 (pow (PI) 2)))))
#s(approx (* (neg (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) #s(hole binary64 (* -1 (pow (asin (- 1 x)) 2))))
#s(approx (neg (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) #s(hole binary64 (* -1 (asin (- 1 x)))))
#s(approx (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x)))) #s(hole binary64 (asin (- 1 x))))
#s(approx (sqrt (asin (- 1 x))) #s(hole binary64 (sqrt (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 (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2))) #s(hole binary64 (+ (asin (- 1 x)) (* 1/2 (PI)))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (- 1 x)))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (- 1 x))))
#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 -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 (- (/ 1 x) -1) #s(hole binary64 (/ (+ 1 x) x)))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (exp (* (log (asin (- 1 x))) 2))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (exp (* (log (asin (- 1 x))) 2))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (- 1 x)) 2))))
#s(approx (exp (* (log (asin (- 1 x))) 2)) #s(hole binary64 (pow (asin (- 1 x)) 2)))
#s(approx (* (log (asin (- 1 x))) 2) #s(hole binary64 (* 2 (log (asin (- 1 x))))))
#s(approx (log (asin (- 1 x))) #s(hole binary64 (log (asin (- 1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* (- (pow x -2) 1) x) #s(hole binary64 (* x (- (/ 1 (pow x 2)) 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 (- (/ 1 x) -1) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (/ (+ (* (* (/ (PI) 2) (sqrt (PI))) (/ (sqrt (PI)) 2)) (* (neg (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x)))))) (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) #s(hole binary64 (/ (+ (* -1 (pow (asin (+ 1 (* -1 x))) 2)) (* 1/4 (pow (PI) 2))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (+ (* (* (/ (PI) 2) (sqrt (PI))) (/ (sqrt (PI)) 2)) (* (neg (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x)))))) #s(hole binary64 (+ (* -1 (pow (asin (+ 1 (* -1 x))) 2)) (* 1/4 (pow (PI) 2)))))
#s(approx (* (neg (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) #s(hole binary64 (* -1 (pow (asin (+ 1 (* -1 x))) 2))))
#s(approx (neg (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) #s(hole binary64 (* -1 (asin (+ 1 (* -1 x))))))
#s(approx (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x)))) #s(hole binary64 (asin (+ 1 (* -1 x)))))
#s(approx (sqrt (asin (- 1 x))) #s(hole binary64 (sqrt (asin (+ 1 (* -1 x))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2))) #s(hole binary64 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (+ 1 (* -1 x))))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (+ 1 (* -1 x)))))
#s(approx (* (- (pow x -2) 1) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (exp (* (log (asin (- 1 x))) 2))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (+ 1 (* -1 x))) 2)) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (exp (* (log (asin (- 1 x))) 2))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (+ 1 (* -1 x))) 2))))
#s(approx (exp (* (log (asin (- 1 x))) 2)) #s(hole binary64 (pow (asin (+ 1 (* -1 x))) 2)))
#s(approx (* (log (asin (- 1 x))) 2) #s(hole binary64 (* 2 (log (asin (+ 1 (* -1 x)))))))
#s(approx (log (asin (- 1 x))) #s(hole binary64 (log (asin (+ 1 (* -1 x))))))
Calls

3 calls:

TimeVariablePointExpression
59.0ms
x
@-inf
((/ (+ (* (* (/ (PI) 2) (sqrt (PI))) (/ (sqrt (PI)) 2)) (* (neg (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x)))))) (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) (+ (* (* (/ (PI) 2) (sqrt (PI))) (/ (sqrt (PI)) 2)) (* (neg (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x)))))) (* (/ (PI) 2) (sqrt (PI))) (/ (PI) 2) (PI) 2 (sqrt (PI)) (/ (sqrt (PI)) 2) (* (neg (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) (neg (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x)))) (sqrt (asin (- 1 x))) (asin (- 1 x)) (- 1 x) 1 x (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2))) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) (pow (asin (- 1 x)) 1/2) 1/2 (- (/ (PI) 2) (asin (- 1 x))) (- (* 1/2 (PI)) (asin (- 1 x))) (* 1/2 (PI)) (acos (- 1 x)) (- 1 x) (/ (* (- (pow x -2) 1) x) (- (/ 1 x) -1)) (* (- (pow x -2) 1) x) (- (pow x -2) 1) (pow x -2) -2 (- (/ 1 x) -1) (/ 1 x) -1 (/ (- (* (/ (PI) 2) (/ (PI) 2)) (exp (* (log (asin (- 1 x))) 2))) (+ (/ (PI) 2) (asin (- 1 x)))) (- (* (/ (PI) 2) (/ (PI) 2)) (exp (* (log (asin (- 1 x))) 2))) (* (/ (PI) 2) (/ (PI) 2)) (exp (* (log (asin (- 1 x))) 2)) (* (log (asin (- 1 x))) 2) (log (asin (- 1 x))) (+ (/ (PI) 2) (asin (- 1 x))) (/ (+ (* (PI) (/ (PI) 4)) (* (neg (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x)))))) (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) (+ (* (PI) (/ (PI) 4)) (* (neg (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x)))))) (/ (PI) 4) 4)
35.0ms
x
@0
((/ (+ (* (* (/ (PI) 2) (sqrt (PI))) (/ (sqrt (PI)) 2)) (* (neg (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x)))))) (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) (+ (* (* (/ (PI) 2) (sqrt (PI))) (/ (sqrt (PI)) 2)) (* (neg (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x)))))) (* (/ (PI) 2) (sqrt (PI))) (/ (PI) 2) (PI) 2 (sqrt (PI)) (/ (sqrt (PI)) 2) (* (neg (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) (neg (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x)))) (sqrt (asin (- 1 x))) (asin (- 1 x)) (- 1 x) 1 x (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2))) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) (pow (asin (- 1 x)) 1/2) 1/2 (- (/ (PI) 2) (asin (- 1 x))) (- (* 1/2 (PI)) (asin (- 1 x))) (* 1/2 (PI)) (acos (- 1 x)) (- 1 x) (/ (* (- (pow x -2) 1) x) (- (/ 1 x) -1)) (* (- (pow x -2) 1) x) (- (pow x -2) 1) (pow x -2) -2 (- (/ 1 x) -1) (/ 1 x) -1 (/ (- (* (/ (PI) 2) (/ (PI) 2)) (exp (* (log (asin (- 1 x))) 2))) (+ (/ (PI) 2) (asin (- 1 x)))) (- (* (/ (PI) 2) (/ (PI) 2)) (exp (* (log (asin (- 1 x))) 2))) (* (/ (PI) 2) (/ (PI) 2)) (exp (* (log (asin (- 1 x))) 2)) (* (log (asin (- 1 x))) 2) (log (asin (- 1 x))) (+ (/ (PI) 2) (asin (- 1 x))) (/ (+ (* (PI) (/ (PI) 4)) (* (neg (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x)))))) (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) (+ (* (PI) (/ (PI) 4)) (* (neg (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x)))))) (/ (PI) 4) 4)
28.0ms
x
@inf
((/ (+ (* (* (/ (PI) 2) (sqrt (PI))) (/ (sqrt (PI)) 2)) (* (neg (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x)))))) (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) (+ (* (* (/ (PI) 2) (sqrt (PI))) (/ (sqrt (PI)) 2)) (* (neg (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x)))))) (* (/ (PI) 2) (sqrt (PI))) (/ (PI) 2) (PI) 2 (sqrt (PI)) (/ (sqrt (PI)) 2) (* (neg (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) (neg (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x)))) (sqrt (asin (- 1 x))) (asin (- 1 x)) (- 1 x) 1 x (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2))) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) (pow (asin (- 1 x)) 1/2) 1/2 (- (/ (PI) 2) (asin (- 1 x))) (- (* 1/2 (PI)) (asin (- 1 x))) (* 1/2 (PI)) (acos (- 1 x)) (- 1 x) (/ (* (- (pow x -2) 1) x) (- (/ 1 x) -1)) (* (- (pow x -2) 1) x) (- (pow x -2) 1) (pow x -2) -2 (- (/ 1 x) -1) (/ 1 x) -1 (/ (- (* (/ (PI) 2) (/ (PI) 2)) (exp (* (log (asin (- 1 x))) 2))) (+ (/ (PI) 2) (asin (- 1 x)))) (- (* (/ (PI) 2) (/ (PI) 2)) (exp (* (log (asin (- 1 x))) 2))) (* (/ (PI) 2) (/ (PI) 2)) (exp (* (log (asin (- 1 x))) 2)) (* (log (asin (- 1 x))) 2) (log (asin (- 1 x))) (+ (/ (PI) 2) (asin (- 1 x))) (/ (+ (* (PI) (/ (PI) 4)) (* (neg (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x)))))) (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) (+ (* (PI) (/ (PI) 4)) (* (neg (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x)))))) (/ (PI) 4) 4)

rewrite79.0ms (2.8%)

Memory
2.1MiB live, 85.5MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01681424
0236972
0738962
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
88 → 245
Calls
Call 1
Inputs
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (+.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)))))
(fma.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(sqrt.f64 (PI.f64))
(/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(*.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(+.f64 (/.f64 (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))))
(*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
#s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.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))
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal -1 binary64)
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(*.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (+.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)))))
(fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (PI.f64) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (/ (+ (* (* (/ (PI) 2) (sqrt (PI))) (/ (sqrt (PI)) 2)) (* (neg (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x)))))) (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) #s(hole binary64 (/ (+ (* -1 (pow (asin (- 1 x)) 2)) (* 1/4 (pow (PI) 2))) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (+ (* (* (/ (PI) 2) (sqrt (PI))) (/ (sqrt (PI)) 2)) (* (neg (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x)))))) #s(hole binary64 (+ (* -1 (pow (asin (- 1 x)) 2)) (* 1/4 (pow (PI) 2)))))
#s(approx (* (neg (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) #s(hole binary64 (* -1 (pow (asin (- 1 x)) 2))))
#s(approx (neg (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) #s(hole binary64 (* -1 (asin (- 1 x)))))
#s(approx (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x)))) #s(hole binary64 (asin (- 1 x))))
#s(approx (sqrt (asin (- 1 x))) #s(hole binary64 (sqrt (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 (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2))) #s(hole binary64 (+ (asin (- 1 x)) (* 1/2 (PI)))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (- 1 x)))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (- 1 x))))
#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 -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 (- (/ 1 x) -1) #s(hole binary64 (/ (+ 1 x) x)))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (exp (* (log (asin (- 1 x))) 2))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (exp (* (log (asin (- 1 x))) 2))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (- 1 x)) 2))))
#s(approx (exp (* (log (asin (- 1 x))) 2)) #s(hole binary64 (pow (asin (- 1 x)) 2)))
#s(approx (* (log (asin (- 1 x))) 2) #s(hole binary64 (* 2 (log (asin (- 1 x))))))
#s(approx (log (asin (- 1 x))) #s(hole binary64 (log (asin (- 1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* (- (pow x -2) 1) x) #s(hole binary64 (* x (- (/ 1 (pow x 2)) 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 (- (/ 1 x) -1) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (/ (+ (* (* (/ (PI) 2) (sqrt (PI))) (/ (sqrt (PI)) 2)) (* (neg (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x)))))) (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) #s(hole binary64 (/ (+ (* -1 (pow (asin (+ 1 (* -1 x))) 2)) (* 1/4 (pow (PI) 2))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (+ (* (* (/ (PI) 2) (sqrt (PI))) (/ (sqrt (PI)) 2)) (* (neg (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x)))))) #s(hole binary64 (+ (* -1 (pow (asin (+ 1 (* -1 x))) 2)) (* 1/4 (pow (PI) 2)))))
#s(approx (* (neg (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) #s(hole binary64 (* -1 (pow (asin (+ 1 (* -1 x))) 2))))
#s(approx (neg (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) #s(hole binary64 (* -1 (asin (+ 1 (* -1 x))))))
#s(approx (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x)))) #s(hole binary64 (asin (+ 1 (* -1 x)))))
#s(approx (sqrt (asin (- 1 x))) #s(hole binary64 (sqrt (asin (+ 1 (* -1 x))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2))) #s(hole binary64 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (+ 1 (* -1 x))))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (+ 1 (* -1 x)))))
#s(approx (* (- (pow x -2) 1) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (exp (* (log (asin (- 1 x))) 2))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (+ 1 (* -1 x))) 2)) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (exp (* (log (asin (- 1 x))) 2))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (+ 1 (* -1 x))) 2))))
#s(approx (exp (* (log (asin (- 1 x))) 2)) #s(hole binary64 (pow (asin (+ 1 (* -1 x))) 2)))
#s(approx (* (log (asin (- 1 x))) 2) #s(hole binary64 (* 2 (log (asin (+ 1 (* -1 x)))))))
#s(approx (log (asin (- 1 x))) #s(hole binary64 (log (asin (+ 1 (* -1 x))))))
Outputs
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (-.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))
(fma.f64 (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (neg.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(pow.f64 (PI.f64) #s(literal 1/2 binary64))
(sqrt.f64 (PI.f64))
(/.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal -2 binary64))
(/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(*.f64 (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fabs.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fabs.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fabs.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (-.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (fabs.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fabs.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fabs.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fabs.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
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(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64)) (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64)) (-.f64 (*.f64 (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64)) (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64)) (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64)) (fma.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))
(fma.f64 (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64)))
(fma.f64 (fabs.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (fabs.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64) (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64)))
(fma.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64)))
(fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal -1 binary64) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64)))
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64)))
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64)) (*.f64 (neg.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64)) (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64)))
(/.f64 (neg.f64 (PI.f64)) #s(literal -4 binary64))
(/.f64 (PI.f64) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (/ (+ (* (* (/ (PI) 2) (sqrt (PI))) (/ (sqrt (PI)) 2)) (* (neg (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x)))))) (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) (/.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* (* (/ (PI) 2) (sqrt (PI))) (/ (sqrt (PI)) 2)) (* (neg (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x)))))) (fma.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
#s(approx (* (neg (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (neg (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (sqrt (asin (- 1 x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (+.f64 (neg.f64 x) #s(literal 1 binary64)))
#s(approx x x)
#s(approx (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (- (pow x -2) 1) x) (/.f64 #s(literal 1 binary64) x))
#s(approx (* (- (pow x -2) 1) x) (/.f64 (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) x))
#s(approx (- (pow x -2) 1) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (- (pow x -2) 1) (/.f64 (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 x) -1) (/.f64 (+.f64 x #s(literal 1 binary64)) x))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (exp (* (log (asin (- 1 x))) 2))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (exp (* (log (asin (- 1 x))) 2)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (* (log (asin (- 1 x))) 2) (*.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
#s(approx (log (asin (- 1 x))) (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (* (- (pow x -2) 1) x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x))
#s(approx (- (pow x -2) 1) #s(literal -1 binary64))
#s(approx (- (pow x -2) 1) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (- (/ 1 x) -1) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
#s(approx (/ (+ (* (* (/ (PI) 2) (sqrt (PI))) (/ (sqrt (PI)) 2)) (* (neg (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x)))))) (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (neg.f64 (*.f64 (asin.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))) (asin.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))))))
#s(approx (+ (* (* (/ (PI) 2) (sqrt (PI))) (/ (sqrt (PI)) 2)) (* (neg (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x)))))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (neg.f64 (*.f64 (asin.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))) (asin.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)))))))
#s(approx (* (neg (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) (neg.f64 (*.f64 (asin.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))) (asin.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))))))
#s(approx (neg (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) (neg.f64 (asin.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)))))
#s(approx (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x)))) (asin.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))))
#s(approx (sqrt (asin (- 1 x))) (sqrt.f64 (asin.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)))))
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (acos.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))))
#s(approx (* (- (pow x -2) 1) x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (asin.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))) (asin.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (exp (* (log (asin (- 1 x))) 2))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (asin.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))) (asin.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))))))
#s(approx (exp (* (log (asin (- 1 x))) 2)) (*.f64 (asin.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))) (asin.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)))))
#s(approx (* (log (asin (- 1 x))) 2) (*.f64 (log.f64 (asin.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)))) #s(literal 2 binary64)))
#s(approx (log (asin (- 1 x))) (log.f64 (asin.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)))))

eval28.0ms (1%)

Memory
10.8MiB live, 56.7MiB allocated; 4ms collecting garbage
Compiler

Compiled 3 924 to 895 computations (77.2% saved)

prune65.0ms (2.3%)

Memory
-17.5MiB live, 88.0MiB allocated; 28ms collecting garbage
Pruning

55 alts after pruning (48 fresh and 7 done)

PrunedKeptTotal
New20817225
Fresh33134
Picked325
Done055
Total21455269
Accuracy
11.9%
Counts
269 → 55
Alt Table
Click to see full alt table
StatusAccuracyProgram
11.5%
(fma.f64 (/.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (/.f64 (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
11.5%
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
6.0%
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))))) (*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))))) (+.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)))))
11.6%
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (fma.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (PI.f64) #s(literal 2 binary64))))
4.1%
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
11.6%
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) #s(approx (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
11.5%
(/.f64 (fma.f64 (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
11.5%
(/.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
6.0%
(/.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))))) (*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))))) (+.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)))))
11.5%
(/.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (fma.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (PI.f64) #s(literal 2 binary64))))
4.1%
(/.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
11.5%
(/.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) #s(approx (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
11.5%
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
6.0%
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) (+.f64 (/.f64 (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)))))
11.5%
(/.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
11.5%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
7.8%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
7.8%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
7.8%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
11.5%
(/.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))) (*.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))))) (fma.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (PI.f64) #s(literal 2 binary64))))
11.5%
(/.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))) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) (/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.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 (*.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 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))))
6.6%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.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 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) (/.f64 (*.f64 (+.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 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))
6.0%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))) (*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))))))
11.5%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
7.8%
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))) (*.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))) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) (+.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.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)))))
11.5%
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.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))) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
6.0%
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
6.7%
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))))) (+.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))))
7.8%
(/.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))) (fma.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (PI.f64) #s(literal 2 binary64))))
7.8%
(-.f64 (/.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (fma.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.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)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
7.8%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
7.8%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
11.5%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
6.0%
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
7.8%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
4.7%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
5.7%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
5.8%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
5.8%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
5.2%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) x) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
5.9%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
5.8%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
4.5%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 #s(approx (- (pow x -2) 1) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
8.0%
(acos.f64 #s(approx (- 1 x) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) x)))
5.4%
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))
6.2%
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) x)))
6.0%
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
7.3%
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)) x)))
7.3%
(acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x)))
4.3%
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
7.1%
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
3.8%
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
7.8%
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
11.5%
#s(approx (/ (+ (* (* (/ (PI) 2) (sqrt (PI))) (/ (sqrt (PI)) 2)) (* (neg (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x)))))) (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) (/.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
7.8%
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
Compiler

Compiled 2 973 to 1 290 computations (56.6% saved)

regimes48.0ms (1.7%)

Memory
24.6MiB live, 69.8MiB allocated; 4ms collecting garbage
Counts
71 → 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))
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 #s(approx (- (/ 1 (* x x)) 1) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 #s(approx (- (pow x -2) 1) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #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)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) x) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (+ (* (* (/ (PI) 2) (sqrt (PI))) (/ (sqrt (PI)) 2)) (* (neg (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x)))))) (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) (/.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.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 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (*.f64 (PI.f64) (/.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) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 #s(approx (- 1 x) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) x)))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (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))))
(/.f64 (fma.f64 (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) #s(approx (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) #s(approx (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (-.f64 (/.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) (/.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 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (fma.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))))) (+.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))))
(-.f64 (/.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (fma.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.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)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (fma.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (+.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)))))
(/.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) (/.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 (fma.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (+.f64 (/.f64 (PI.f64) #s(literal 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)))))
(fma.f64 (/.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (/.f64 (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (+.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)))))
(/.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))) (*.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))))) (fma.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (*.f64 (/.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))) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) (/.f64 (*.f64 (+.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 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.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 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.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))) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))) (*.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))) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) (+.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.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)))))
(/.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))) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) (/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.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 (*.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 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) (+.f64 (/.f64 (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)))))
(/.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))))) (*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))))) (+.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)))))
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))))) (*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))))) (+.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)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))) (*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))))))
Outputs
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (fma.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (PI.f64) #s(literal 2 binary64))))
Calls

3 calls:

16.0ms
x
14.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
13.0ms
(-.f64 #s(literal 1 binary64) x)
Results
AccuracySegmentsBranch
11.6%1(-.f64 #s(literal 1 binary64) x)
11.6%1(acos.f64 (-.f64 #s(literal 1 binary64) x))
11.6%1x
Compiler

Compiled 8 to 8 computations (0% saved)

regimes55.0ms (1.9%)

Memory
-8.4MiB live, 38.0MiB allocated; 2ms collecting garbage
Counts
50 → 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))
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 #s(approx (- (/ 1 (* x x)) 1) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 #s(approx (- (pow x -2) 1) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #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)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) x) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (+ (* (* (/ (PI) 2) (sqrt (PI))) (/ (sqrt (PI)) 2)) (* (neg (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x)))))) (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) (/.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.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 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (*.f64 (PI.f64) (/.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) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 #s(approx (- 1 x) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) x)))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (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))))
(/.f64 (fma.f64 (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) #s(approx (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) #s(approx (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (-.f64 (/.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) (/.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 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (fma.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))))) (+.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))))
(-.f64 (/.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (fma.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.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)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (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))))))
Outputs
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) #s(approx (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
Calls

3 calls:

34.0ms
x
9.0ms
(-.f64 #s(literal 1 binary64) x)
8.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
11.6%1(-.f64 #s(literal 1 binary64) x)
11.6%1x
11.6%1(acos.f64 (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 8 computations (0% saved)

regimes39.0ms (1.4%)

Memory
-16.7MiB live, 32.8MiB allocated; 6ms collecting garbage
Counts
41 → 1
Calls
Call 1
Inputs
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 #s(approx (- (/ 1 (* x x)) 1) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 #s(approx (- (pow x -2) 1) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #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)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) x) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (+ (* (* (/ (PI) 2) (sqrt (PI))) (/ (sqrt (PI)) 2)) (* (neg (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x)))))) (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) (/.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.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 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (*.f64 (PI.f64) (/.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) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 #s(approx (- 1 x) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) x)))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (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))))
(/.f64 (fma.f64 (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) #s(approx (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
Outputs
(/.f64 (fma.f64 (*.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
Calls

3 calls:

10.0ms
x
7.0ms
(-.f64 #s(literal 1 binary64) x)
7.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
11.5%1x
11.5%1(-.f64 #s(literal 1 binary64) x)
11.5%1(acos.f64 (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 8 computations (0% saved)

regimes23.0ms (0.8%)

Memory
41.6MiB live, 41.6MiB allocated; 0ms collecting garbage
Counts
35 → 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))
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 #s(approx (- (/ 1 (* x x)) 1) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 #s(approx (- (pow x -2) 1) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #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)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) x) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (+ (* (* (/ (PI) 2) (sqrt (PI))) (/ (sqrt (PI)) 2)) (* (neg (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x)))))) (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) (/.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.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 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (*.f64 (PI.f64) (/.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) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 #s(approx (- 1 x) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) x)))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (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))))
Outputs
#s(approx (/ (+ (* (* (/ (PI) 2) (sqrt (PI))) (/ (sqrt (PI)) 2)) (* (neg (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x))))) (* (sqrt (asin (- 1 x))) (sqrt (asin (- 1 x)))))) (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) (/.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
Calls

3 calls:

9.0ms
x
6.0ms
(-.f64 #s(literal 1 binary64) x)
6.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
11.5%1(-.f64 #s(literal 1 binary64) x)
11.5%1(acos.f64 (-.f64 #s(literal 1 binary64) x))
11.5%1x
Compiler

Compiled 8 to 8 computations (0% saved)

regimes20.0ms (0.7%)

Memory
-14.5MiB live, 30.0MiB allocated; 4ms collecting garbage
Counts
23 → 2
Calls
Call 1
Inputs
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 #s(approx (- (/ 1 (* x x)) 1) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 #s(approx (- (pow x -2) 1) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #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)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) x) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
Outputs
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) (+ (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)))) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
Calls

3 calls:

10.0ms
x
5.0ms
(-.f64 #s(literal 1 binary64) x)
4.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
10.5%2(acos.f64 (-.f64 #s(literal 1 binary64) x))
10.5%2(-.f64 #s(literal 1 binary64) x)
10.5%2x
Compiler

Compiled 8 to 8 computations (0% saved)

regimes19.0ms (0.7%)

Memory
-15.0MiB live, 28.8MiB allocated; 3ms collecting garbage
Counts
22 → 2
Calls
Call 1
Inputs
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 #s(approx (- (/ 1 (* x x)) 1) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 #s(approx (- (pow x -2) 1) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #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)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) x) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
Outputs
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
Calls

3 calls:

9.0ms
x
4.0ms
(-.f64 #s(literal 1 binary64) x)
4.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
10.5%2x
10.5%2(acos.f64 (-.f64 #s(literal 1 binary64) x))
10.5%2(-.f64 #s(literal 1 binary64) x)
Compiler

Compiled 8 to 8 computations (0% saved)

regimes5.0ms (0.2%)

Memory
11.7MiB live, 11.7MiB allocated; 0ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
Outputs
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Calls

3 calls:

2.0ms
x
1.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
1.0ms
(-.f64 #s(literal 1 binary64) x)
Results
AccuracySegmentsBranch
10.4%2x
10.4%2(-.f64 #s(literal 1 binary64) x)
10.4%2(acos.f64 (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 8 computations (0% saved)

regimes3.0ms (0.1%)

Memory
10.0MiB live, 10.0MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
Outputs
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
Calls

3 calls:

1.0ms
x
1.0ms
(-.f64 #s(literal 1 binary64) x)
1.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
7.1%1x
7.1%1(-.f64 #s(literal 1 binary64) x)
7.1%1(acos.f64 (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 8 computations (0% saved)

regimes3.0ms (0.1%)

Memory
7.1MiB live, 7.1MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
Outputs
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
Calls

3 calls:

1.0ms
x
1.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
1.0ms
(-.f64 #s(literal 1 binary64) x)
Results
AccuracySegmentsBranch
3.8%1x
3.8%1(-.f64 #s(literal 1 binary64) x)
3.8%1(acos.f64 (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 8 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999999362
1.0
Compiler

Compiled 7 to 8 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
3.5731729293709584e-7
Compiler

Compiled 7 to 8 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
3.5731729293709584e-7
Compiler

Compiled 7 to 8 computations (-14.3% saved)

derivations88.0ms (3.1%)

Memory
-11.1MiB live, 89.3MiB allocated; 42ms collecting garbage
Stop Event
fuel
Compiler

Compiled 212 to 81 computations (61.8% saved)

preprocess72.0ms (2.6%)

Memory
14.8MiB live, 155.7MiB allocated; 10ms collecting garbage
Compiler

Compiled 216 to 85 computations (60.6% saved)

end0.0ms (0%)

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

Profiling

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