bug323 (missed optimization)

Time bar (total: 3.4s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB 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)

sample1.4s (40.2%)

Memory
55.0MiB live, 1 233.7MiB allocated; 308ms collecting garbage
Samples
708.0ms3 911×2valid
452.0ms4 205×1valid
5.0ms140×0valid
Precisions
Click to see histograms. Total time spent on operations: 930.0ms
ival-acos: 611.0ms (65.7% of total)
adjust: 171.0ms (18.4% of total)
ival-sub!: 148.0ms (15.9% of total)
Bogosity

preprocess187.0ms (5.4%)

Memory
-30.6MiB live, 61.5MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0815
11815
23815
312715
473513
5655613
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.2%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 8 computations (0% saved)

series1.0ms (0%)

Memory
2.8MiB live, 2.8MiB 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)

rewrite96.0ms (2.8%)

Memory
36.1MiB live, 126.7MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02477
02572
19071
061871
Stop Event
iter-limit
iter-limit
iter-limit
unsound
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
6.4MiB live, 6.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 184 to 109 computations (40.8% saved)

prune11.0ms (0.3%)

Memory
-33.4MiB live, 8.9MiB allocated; 11ms collecting garbage
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New24630
Fresh000
Picked011
Done000
Total24731
Accuracy
8.6%
Counts
31 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.2%
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
6.2%
(/.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 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
6.2%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
6.2%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
6.5%
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
6.6%
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
3.9%
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
Compiler

Compiled 156 to 116 computations (25.6% saved)

series9.0ms (0.3%)

Memory
15.8MiB live, 15.8MiB allocated; 0ms collecting garbage
Counts
23 → 31
Calls
Call 1
Inputs
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
x
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.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 (neg x) #s(hole binary64 (* -1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 1))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (- 1 x)))))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (- 1 x))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (- 1 x)) 2))))
#s(approx (* (asin (- 1 x)) (asin (- 1 x))) #s(hole binary64 (pow (asin (- 1 x)) 2)))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (- 1 x)) (* 1/2 (PI)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (/ 1 x) 1) #s(hole binary64 -1))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (- (/ 1 x) 1)))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (+ 1 (* -1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (+ 1 (* -1 x))))))
#s(approx (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) (neg x) x (acos (- 1 x)) (- 1 x) 1 (acos (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 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) (neg x) x (acos (- 1 x)) (- 1 x) 1 (acos (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 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) (neg x) x (acos (- 1 x)) (- 1 x) 1 (acos (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 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))))

rewrite99.0ms (2.9%)

Memory
-11.8MiB live, 81.8MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093627
0120473
1357470
02706468
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
54 → 315
Calls
Call 1
Inputs
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
x
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.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 (neg x) #s(hole binary64 (* -1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 1))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (- 1 x)))))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (- 1 x))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (- 1 x)) 2))))
#s(approx (* (asin (- 1 x)) (asin (- 1 x))) #s(hole binary64 (pow (asin (- 1 x)) 2)))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (- 1 x)) (* 1/2 (PI)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (/ 1 x) 1) #s(hole binary64 -1))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (- (/ 1 x) 1)))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (+ 1 (* -1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (+ 1 (* -1 x))))))
#s(approx (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) (neg.f64 x))) (asin.f64 #s(approx (- 1 x) (neg.f64 x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (neg.f64 x)))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 #s(approx (- 1 x) (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 (asin.f64 #s(approx (- 1 x) (neg.f64 x))) (asin.f64 #s(approx (- 1 x) (neg.f64 x))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (neg.f64 x)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (neg.f64 x))))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(neg.f64 x)
x
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))))
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (-.f64 (*.f64 (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)))))))
(-.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))))
(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 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 (/.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))))
(/.f64 (*.f64 x (-.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 x (-.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))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (-.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (/.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 (/.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))))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 (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 (*.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 (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)))
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (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 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.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))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (fma.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (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 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))))))
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#s(approx (/ 1 x) (/.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 (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) (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) x) (neg.f64 x))
#s(approx (* (- (/ 1 x) 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 (* (- (/ 1 x) 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))))

eval58.0ms (1.7%)

Memory
-1.1MiB live, 59.7MiB allocated; 36ms collecting garbage
Compiler

Compiled 5 052 to 1 148 computations (77.3% saved)

prune25.0ms (0.7%)

Memory
-1.7MiB live, 46.8MiB allocated; 3ms collecting garbage
Pruning

25 alts after pruning (22 fresh and 3 done)

PrunedKeptTotal
New27722299
Fresh101
Picked325
Done011
Total28125306
Accuracy
9.5%
Counts
306 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
9.4%
(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)))))
9.4%
(/.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))))
6.2%
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.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) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
6.2%
(/.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))))
6.2%
(/.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))))))
9.3%
(/.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)))))
2.4%
(/.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 (+.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) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))))))
6.2%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
4.3%
(/.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))))
6.2%
(/.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)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
4.3%
(/.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))))
6.2%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
9.3%
(-.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))))
4.3%
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
6.2%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
3.1%
(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))))))
4.1%
(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)))))
3.3%
(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)))
4.3%
(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)))
5.5%
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)) x)))
5.5%
(acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x)))
4.4%
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
6.6%
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
3.9%
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
6.2%
#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 1 126 to 740 computations (34.3% saved)

series21.0ms (0.6%)

Memory
28.5MiB live, 28.5MiB allocated; 0ms collecting garbage
Counts
44 → 77
Calls
Call 1
Inputs
(/.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))))
(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))))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(asin.f64 (+.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(PI.f64)
(/.f64 (PI.f64) #s(literal 4 binary64))
#s(literal 4 binary64)
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (PI.f64) #s(literal 2 binary64))
#s(literal 2 binary64)
(acos.f64 #s(approx (- 1 x) (*.f64 #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))
(/.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))))
#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)))))
(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 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 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)) (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (*.f64 (PI.f64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (PI.f64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (+.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))
(*.f64 #s(literal 2 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
Outputs
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (* (PI) (/ (PI) 4))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (- x 1)))) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (+ (* (asin (- 1 x)) (asin (+ -1 x))) (* (PI) (/ (PI) 4))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (- x 1))))))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (- 1 x))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (asin (+ -1 x)) #s(hole binary64 (asin (- x 1))))
#s(approx (+ -1 x) #s(hole binary64 -1))
#s(approx (+ -1 x) #s(hole binary64 (- x 1)))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (- 1 x)) (* 1/2 (PI)))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (- 1 x))))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 1))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (* (- (/ 1 (* x x)) 1) x) (- (/ 1 x) -1)) #s(hole binary64 1))
#s(approx (/ (* (- (/ 1 (* x x)) 1) x) (- (/ 1 x) -1)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* (- (/ 1 (* x x)) 1) x) #s(hole binary64 (/ 1 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 (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (/ 1 x) -1) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ 1 x) -1) #s(hole binary64 (/ (+ 1 x) 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 (+ (* (* 1/4 (PI)) (PI)) (* (asin (+ -1 x)) (asin (- 1 x)))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (- x 1))))))
#s(approx (* (asin (+ -1 x)) (asin (- 1 x))) #s(hole binary64 (* (asin (- 1 x)) (asin (- x 1)))))
#s(approx (- (/ (PI) 2) (/ (- (* (PI) (+ (asin (- 1 x)) (/ (PI) 2))) (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))))) (* 2 (+ (asin (- 1 x)) (/ (PI) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 1/2 (/ (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (+ (asin (- 1 x)) (* 1/2 (PI))))))))
#s(approx (/ (- (* (PI) (+ (asin (- 1 x)) (/ (PI) 2))) (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))))) (* 2 (+ (asin (- 1 x)) (/ (PI) 2)))) #s(hole binary64 (* 1/2 (/ (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (+ (asin (- 1 x)) (* 1/2 (PI)))))))
#s(approx (- (* (PI) (+ (asin (- 1 x)) (/ (PI) 2))) (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))))) #s(hole binary64 (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))))))
#s(approx (* (PI) (+ (asin (- 1 x)) (/ (PI) 2))) #s(hole binary64 (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (+ (asin (- 1 x)) (/ (PI) 2)) #s(hole binary64 (+ (asin (- 1 x)) (* 1/2 (PI)))))
#s(approx (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x)))) #s(hole binary64 (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))))
#s(approx (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))) #s(hole binary64 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (* 2 (+ (asin (- 1 x)) (/ (PI) 2))) #s(hole binary64 (* 2 (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ -1 x) #s(hole binary64 x))
#s(approx (+ -1 x) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (/ 1 x) 1) #s(hole binary64 -1))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (- (/ 1 x) 1)))
#s(approx (/ (* (- (/ 1 (* x x)) 1) x) (- (/ 1 x) -1)) #s(hole binary64 (* -1 x)))
#s(approx (/ (* (- (/ 1 (* x x)) 1) x) (- (/ 1 x) -1)) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* (- (/ 1 (* x x)) 1) x) #s(hole binary64 (* -1 x)))
#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))
#s(approx (- (/ 1 (* x x)) 1) #s(hole binary64 (- (/ 1 (pow x 2)) 1)))
#s(approx (- (/ 1 x) -1) #s(hole binary64 1))
#s(approx (- (/ 1 x) -1) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (* (PI) (/ (PI) 4))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (+ (* (asin (- 1 x)) (asin (+ -1 x))) (* (PI) (/ (PI) 4))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x)))))))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (+ 1 (* -1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (asin (+ -1 x)) #s(hole binary64 (asin (neg (+ 1 (* -1 x))))))
#s(approx (+ -1 x) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (+ 1 (* -1 x)))))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (/ (* (- (/ 1 (* x x)) 1) x) (- (/ 1 x) -1)) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* (- (/ 1 (* x x)) 1) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (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 (+ (* (* 1/4 (PI)) (PI)) (* (asin (+ -1 x)) (asin (- 1 x)))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x)))))))
#s(approx (* (asin (+ -1 x)) (asin (- 1 x))) #s(hole binary64 (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x))))))
#s(approx (- (/ (PI) 2) (/ (- (* (PI) (+ (asin (- 1 x)) (/ (PI) 2))) (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))))) (* 2 (+ (asin (- 1 x)) (/ (PI) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 1/2 (/ (- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))))
#s(approx (/ (- (* (PI) (+ (asin (- 1 x)) (/ (PI) 2))) (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))))) (* 2 (+ (asin (- 1 x)) (/ (PI) 2)))) #s(hole binary64 (* 1/2 (/ (- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))))
#s(approx (- (* (PI) (+ (asin (- 1 x)) (/ (PI) 2))) (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))))) #s(hole binary64 (- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))))
#s(approx (* (PI) (+ (asin (- 1 x)) (/ (PI) 2))) #s(hole binary64 (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (+ (asin (- 1 x)) (/ (PI) 2)) #s(hole binary64 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
#s(approx (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x)))) #s(hole binary64 (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))))
#s(approx (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))) #s(hole binary64 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (* 2 (+ (asin (- 1 x)) (/ (PI) 2))) #s(hole binary64 (* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
Calls

3 calls:

TimeVariablePointExpression
7.0ms
x
@0
((/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (* (PI) (/ (PI) 4))) (+ (/ (PI) 2) (asin (- 1 x)))) (+ (* (asin (- 1 x)) (asin (+ -1 x))) (* (PI) (/ (PI) 4))) (asin (- 1 x)) (- 1 x) 1 x (asin (+ -1 x)) (+ -1 x) -1 (* (PI) (/ (PI) 4)) (PI) (/ (PI) 4) 4 (+ (/ (PI) 2) (asin (- 1 x))) (/ (PI) 2) 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) (/ (- (* (/ (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)))) (+ (* (* 1/4 (PI)) (PI)) (* (asin (+ -1 x)) (asin (- 1 x)))) (* 1/4 (PI)) 1/4 (* (asin (+ -1 x)) (asin (- 1 x))) (- (/ (PI) 2) (/ (- (* (PI) (+ (asin (- 1 x)) (/ (PI) 2))) (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))))) (* 2 (+ (asin (- 1 x)) (/ (PI) 2))))) (/ (- (* (PI) (+ (asin (- 1 x)) (/ (PI) 2))) (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))))) (* 2 (+ (asin (- 1 x)) (/ (PI) 2)))) (- (* (PI) (+ (asin (- 1 x)) (/ (PI) 2))) (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))))) (* (PI) (+ (asin (- 1 x)) (/ (PI) 2))) (+ (asin (- 1 x)) (/ (PI) 2)) (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x)))) (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))) (acos (- 1 x)) (* 2 (+ (asin (- 1 x)) (/ (PI) 2))))
6.0ms
x
@-inf
((/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (* (PI) (/ (PI) 4))) (+ (/ (PI) 2) (asin (- 1 x)))) (+ (* (asin (- 1 x)) (asin (+ -1 x))) (* (PI) (/ (PI) 4))) (asin (- 1 x)) (- 1 x) 1 x (asin (+ -1 x)) (+ -1 x) -1 (* (PI) (/ (PI) 4)) (PI) (/ (PI) 4) 4 (+ (/ (PI) 2) (asin (- 1 x))) (/ (PI) 2) 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) (/ (- (* (/ (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)))) (+ (* (* 1/4 (PI)) (PI)) (* (asin (+ -1 x)) (asin (- 1 x)))) (* 1/4 (PI)) 1/4 (* (asin (+ -1 x)) (asin (- 1 x))) (- (/ (PI) 2) (/ (- (* (PI) (+ (asin (- 1 x)) (/ (PI) 2))) (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))))) (* 2 (+ (asin (- 1 x)) (/ (PI) 2))))) (/ (- (* (PI) (+ (asin (- 1 x)) (/ (PI) 2))) (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))))) (* 2 (+ (asin (- 1 x)) (/ (PI) 2)))) (- (* (PI) (+ (asin (- 1 x)) (/ (PI) 2))) (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))))) (* (PI) (+ (asin (- 1 x)) (/ (PI) 2))) (+ (asin (- 1 x)) (/ (PI) 2)) (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x)))) (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))) (acos (- 1 x)) (* 2 (+ (asin (- 1 x)) (/ (PI) 2))))
6.0ms
x
@inf
((/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (* (PI) (/ (PI) 4))) (+ (/ (PI) 2) (asin (- 1 x)))) (+ (* (asin (- 1 x)) (asin (+ -1 x))) (* (PI) (/ (PI) 4))) (asin (- 1 x)) (- 1 x) 1 x (asin (+ -1 x)) (+ -1 x) -1 (* (PI) (/ (PI) 4)) (PI) (/ (PI) 4) 4 (+ (/ (PI) 2) (asin (- 1 x))) (/ (PI) 2) 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) (/ (- (* (/ (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)))) (+ (* (* 1/4 (PI)) (PI)) (* (asin (+ -1 x)) (asin (- 1 x)))) (* 1/4 (PI)) 1/4 (* (asin (+ -1 x)) (asin (- 1 x))) (- (/ (PI) 2) (/ (- (* (PI) (+ (asin (- 1 x)) (/ (PI) 2))) (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))))) (* 2 (+ (asin (- 1 x)) (/ (PI) 2))))) (/ (- (* (PI) (+ (asin (- 1 x)) (/ (PI) 2))) (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))))) (* 2 (+ (asin (- 1 x)) (/ (PI) 2)))) (- (* (PI) (+ (asin (- 1 x)) (/ (PI) 2))) (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))))) (* (PI) (+ (asin (- 1 x)) (/ (PI) 2))) (+ (asin (- 1 x)) (/ (PI) 2)) (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x)))) (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))) (acos (- 1 x)) (* 2 (+ (asin (- 1 x)) (/ (PI) 2))))

rewrite196.0ms (5.7%)

Memory
2.4MiB live, 142.9MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02212207
02952026
19441723
079671694
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
121 → 956
Calls
Call 1
Inputs
(/.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))))
(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))))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(asin.f64 (+.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(PI.f64)
(/.f64 (PI.f64) #s(literal 4 binary64))
#s(literal 4 binary64)
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (PI.f64) #s(literal 2 binary64))
#s(literal 2 binary64)
(acos.f64 #s(approx (- 1 x) (*.f64 #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)
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(*.f64 x x)
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(/.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))))
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(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
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(/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
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(*.f64 (PI.f64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
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(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (+.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))
(*.f64 #s(literal 2 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (* (PI) (/ (PI) 4))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (- x 1)))) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (+ (* (asin (- 1 x)) (asin (+ -1 x))) (* (PI) (/ (PI) 4))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (- x 1))))))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (- 1 x))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (asin (+ -1 x)) #s(hole binary64 (asin (- x 1))))
#s(approx (+ -1 x) #s(hole binary64 -1))
#s(approx (+ -1 x) #s(hole binary64 (- x 1)))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (- 1 x)) (* 1/2 (PI)))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (- 1 x))))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 1))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (* (- (/ 1 (* x x)) 1) x) (- (/ 1 x) -1)) #s(hole binary64 1))
#s(approx (/ (* (- (/ 1 (* x x)) 1) x) (- (/ 1 x) -1)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* (- (/ 1 (* x x)) 1) x) #s(hole binary64 (/ 1 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 (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (/ 1 x) -1) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ 1 x) -1) #s(hole binary64 (/ (+ 1 x) 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 (+ (* (* 1/4 (PI)) (PI)) (* (asin (+ -1 x)) (asin (- 1 x)))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (- x 1))))))
#s(approx (* (asin (+ -1 x)) (asin (- 1 x))) #s(hole binary64 (* (asin (- 1 x)) (asin (- x 1)))))
#s(approx (- (/ (PI) 2) (/ (- (* (PI) (+ (asin (- 1 x)) (/ (PI) 2))) (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))))) (* 2 (+ (asin (- 1 x)) (/ (PI) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 1/2 (/ (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (+ (asin (- 1 x)) (* 1/2 (PI))))))))
#s(approx (/ (- (* (PI) (+ (asin (- 1 x)) (/ (PI) 2))) (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))))) (* 2 (+ (asin (- 1 x)) (/ (PI) 2)))) #s(hole binary64 (* 1/2 (/ (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (+ (asin (- 1 x)) (* 1/2 (PI)))))))
#s(approx (- (* (PI) (+ (asin (- 1 x)) (/ (PI) 2))) (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))))) #s(hole binary64 (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))))))
#s(approx (* (PI) (+ (asin (- 1 x)) (/ (PI) 2))) #s(hole binary64 (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (+ (asin (- 1 x)) (/ (PI) 2)) #s(hole binary64 (+ (asin (- 1 x)) (* 1/2 (PI)))))
#s(approx (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x)))) #s(hole binary64 (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))))
#s(approx (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))) #s(hole binary64 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (* 2 (+ (asin (- 1 x)) (/ (PI) 2))) #s(hole binary64 (* 2 (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ -1 x) #s(hole binary64 x))
#s(approx (+ -1 x) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (/ 1 x) 1) #s(hole binary64 -1))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (- (/ 1 x) 1)))
#s(approx (/ (* (- (/ 1 (* x x)) 1) x) (- (/ 1 x) -1)) #s(hole binary64 (* -1 x)))
#s(approx (/ (* (- (/ 1 (* x x)) 1) x) (- (/ 1 x) -1)) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* (- (/ 1 (* x x)) 1) x) #s(hole binary64 (* -1 x)))
#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))
#s(approx (- (/ 1 (* x x)) 1) #s(hole binary64 (- (/ 1 (pow x 2)) 1)))
#s(approx (- (/ 1 x) -1) #s(hole binary64 1))
#s(approx (- (/ 1 x) -1) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (* (PI) (/ (PI) 4))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (+ (* (asin (- 1 x)) (asin (+ -1 x))) (* (PI) (/ (PI) 4))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x)))))))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (+ 1 (* -1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (asin (+ -1 x)) #s(hole binary64 (asin (neg (+ 1 (* -1 x))))))
#s(approx (+ -1 x) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (+ 1 (* -1 x)))))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (/ (* (- (/ 1 (* x x)) 1) x) (- (/ 1 x) -1)) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* (- (/ 1 (* x x)) 1) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (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 (+ (* (* 1/4 (PI)) (PI)) (* (asin (+ -1 x)) (asin (- 1 x)))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x)))))))
#s(approx (* (asin (+ -1 x)) (asin (- 1 x))) #s(hole binary64 (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x))))))
#s(approx (- (/ (PI) 2) (/ (- (* (PI) (+ (asin (- 1 x)) (/ (PI) 2))) (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))))) (* 2 (+ (asin (- 1 x)) (/ (PI) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 1/2 (/ (- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))))
#s(approx (/ (- (* (PI) (+ (asin (- 1 x)) (/ (PI) 2))) (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))))) (* 2 (+ (asin (- 1 x)) (/ (PI) 2)))) #s(hole binary64 (* 1/2 (/ (- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))))
#s(approx (- (* (PI) (+ (asin (- 1 x)) (/ (PI) 2))) (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))))) #s(hole binary64 (- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))))
#s(approx (* (PI) (+ (asin (- 1 x)) (/ (PI) 2))) #s(hole binary64 (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (+ (asin (- 1 x)) (/ (PI) 2)) #s(hole binary64 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
#s(approx (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x)))) #s(hole binary64 (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))))
#s(approx (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))) #s(hole binary64 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (* 2 (+ (asin (- 1 x)) (/ (PI) 2))) #s(hole binary64 (* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
Outputs
(*.f64 (/.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (PI.f64) #s(literal -2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 x #s(literal 1 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 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 x #s(literal 1 binary64))))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))) (fma.f64 (PI.f64) (/.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 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))) (-.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.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 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 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)) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (fma.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 3 binary64))) (fma.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (PI.f64) #s(literal -2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (+.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (PI.f64) #s(literal -2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.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 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))))) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (+.f64 (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)) (/.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 (/.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 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64))) (*.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 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64))) (*.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
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(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
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(fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
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(fma.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
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(+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1 binary64)))
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(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (* (PI) (/ (PI) 4))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* (asin (- 1 x)) (asin (+ -1 x))) (* (PI) (/ (PI) 4))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
#s(approx (asin (- 1 x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (-.f64 #s(literal 1 binary64) x))
#s(approx x x)
#s(approx (asin (+ -1 x)) (asin.f64 (-.f64 x #s(literal 1 binary64))))
#s(approx (+ -1 x) #s(literal -1 binary64))
#s(approx (+ -1 x) (-.f64 x #s(literal 1 binary64)))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (* (PI) (/ (PI) 4))) (+ (/ (PI) 2) (asin (- 1 x)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (- (/ 1 x) 1) x) #s(literal 1 binary64))
#s(approx (* (- (/ 1 x) 1) x) (-.f64 #s(literal 1 binary64) x))
#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 (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (* (- (/ 1 x) 1) x) #s(literal 1 binary64))
#s(approx (* (- (/ 1 x) 1) x) (-.f64 #s(literal 1 binary64) x))
#s(approx (* (- (/ 1 (* x x)) 1) x) (/.f64 #s(literal 1 binary64) x))
#s(approx (* (- (/ 1 (* x x)) 1) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x))
#s(approx (- (/ 1 (* x x)) 1) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (- (/ 1 (* x x)) 1) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)))
#s(approx (/ 1 (* x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (* x x) (*.f64 x x))
#s(approx (- (/ 1 x) -1) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 x) -1) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (* (PI) (/ (PI) 4))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* (asin (- 1 x)) (asin (+ -1 x))) (* (PI) (/ (PI) 4))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
#s(approx (+ (* (* 1/4 (PI)) (PI)) (* (asin (+ -1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
#s(approx (* (asin (+ -1 x)) (asin (- 1 x))) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ (PI) 2) (/ (- (* (PI) (+ (asin (- 1 x)) (/ (PI) 2))) (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))))) (* 2 (+ (asin (- 1 x)) (/ (PI) 2))))) (*.f64 (-.f64 (PI.f64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (PI.f64) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (PI) (+ (asin (- 1 x)) (/ (PI) 2))) (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))))) (* 2 (+ (asin (- 1 x)) (/ (PI) 2)))) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (PI.f64) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/2 binary64)))
#s(approx (- (* (PI) (+ (asin (- 1 x)) (/ (PI) 2))) (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (PI.f64) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
#s(approx (* (PI) (+ (asin (- 1 x)) (/ (PI) 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)))
#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 (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x)))) (*.f64 (*.f64 (acos.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(literal 2 binary64)))
#s(approx (+ (* (asin (- 1 x)) (asin (+ -1 x))) (* (PI) (/ (PI) 4))) (*.f64 (acos.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 (* 2 (+ (asin (- 1 x)) (/ (PI) 2))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1 binary64))))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x))
#s(approx (+ -1 x) x)
#s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (* (- (/ 1 x) 1) x) (neg.f64 x))
#s(approx (* (- (/ 1 x) 1) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x))
#s(approx (- (/ 1 x) 1) #s(literal -1 binary64))
#s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x))
#s(approx (* (- (/ 1 x) 1) x) (neg.f64 x))
#s(approx (* (- (/ 1 x) 1) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x))
#s(approx (* (- (/ 1 (* x x)) 1) x) (neg.f64 x))
#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) #s(literal -1 binary64))
#s(approx (- (/ 1 (* x x)) 1) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
#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 (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (* (PI) (/ (PI) 4))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* (asin (- 1 x)) (asin (+ -1 x))) (* (PI) (/ (PI) 4))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
#s(approx (asin (- 1 x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x))
#s(approx (asin (+ -1 x)) (asin.f64 (-.f64 x #s(literal 1 binary64))))
#s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (* (PI) (/ (PI) 4))) (+ (/ (PI) 2) (asin (- 1 x)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (- (/ 1 x) 1) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x))
#s(approx (* (- (/ 1 x) 1) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x))
#s(approx (* (- (/ 1 (* x x)) 1) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 x)))
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (* (PI) (/ (PI) 4))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* (asin (- 1 x)) (asin (+ -1 x))) (* (PI) (/ (PI) 4))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
#s(approx (+ (* (* 1/4 (PI)) (PI)) (* (asin (+ -1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
#s(approx (* (asin (+ -1 x)) (asin (- 1 x))) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ (PI) 2) (/ (- (* (PI) (+ (asin (- 1 x)) (/ (PI) 2))) (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))))) (* 2 (+ (asin (- 1 x)) (/ (PI) 2))))) (*.f64 (-.f64 (PI.f64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (PI.f64) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (PI) (+ (asin (- 1 x)) (/ (PI) 2))) (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))))) (* 2 (+ (asin (- 1 x)) (/ (PI) 2)))) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (PI.f64) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/2 binary64)))
#s(approx (- (* (PI) (+ (asin (- 1 x)) (/ (PI) 2))) (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (PI.f64) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
#s(approx (* (PI) (+ (asin (- 1 x)) (/ (PI) 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)))
#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 (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x)))) (*.f64 (*.f64 (acos.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(literal 2 binary64)))
#s(approx (+ (* (asin (- 1 x)) (asin (+ -1 x))) (* (PI) (/ (PI) 4))) (*.f64 (acos.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 (* 2 (+ (asin (- 1 x)) (/ (PI) 2))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1 binary64))))

eval110.0ms (3.2%)

Memory
-4.0MiB live, 177.9MiB allocated; 32ms collecting garbage
Compiler

Compiled 16 292 to 3 996 computations (75.5% saved)

prune59.0ms (1.7%)

Memory
16.1MiB live, 109.3MiB allocated; 6ms collecting garbage
Pruning

48 alts after pruning (44 fresh and 4 done)

PrunedKeptTotal
New86634900
Fresh71017
Picked415
Done033
Total87748925
Accuracy
9.5%
Counts
925 → 48
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.4%
(fma.f64 (/.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 x #s(literal 1 binary64))))) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
9.4%
(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 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
2.4%
(fma.f64 (/.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 x #s(literal 1 binary64))))) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
2.4%
(fma.f64 (/.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (+.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (PI.f64) #s(literal -2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
9.4%
(/.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)))) (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
9.4%
(/.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)))) (fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
9.3%
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) 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))))
7.7%
(/.f64 (fma.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))) (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 #s(approx (- 1 x) #s(literal 1 binary64)))))
6.2%
(/.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))))))
9.3%
(/.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)))))
4.3%
(/.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))))
6.2%
(/.f64 (*.f64 (+.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (PI.f64) #s(literal -2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (PI.f64) #s(literal -2 binary64))))
6.2%
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
4.3%
(/.f64 #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 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
4.3%
(/.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))))) #s(approx (+ (/ (PI) 2) (asin (- 1 x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
5.0%
(/.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 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
9.4%
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
9.3%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (+.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (PI.f64) #s(literal -2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
6.2%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (PI.f64) #s(literal -2 binary64))) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
2.4%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (-.f64 (*.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (-.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
2.3%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
9.3%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
2.3%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 (-.f64 (*.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))))
6.2%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))))))
6.2%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
9.3%
(-.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))))
2.4%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 x #s(literal 1 binary64))))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
4.3%
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
6.2%
(+.f64 (-.f64 (/.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))) (PI.f64)) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
6.2%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
3.9%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
4.0%
(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)))))
3.9%
(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)))))
3.2%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) x) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))))
3.1%
(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))))))
2.1%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) #s(approx (- (/ 1 x) -1) (/.f64 #s(literal 1 binary64) x)))))
3.3%
(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)))
4.3%
(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)))
4.2%
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (*.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 (-.f64 #s(literal 1 binary64) x) x))))
4.3%
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))))
5.5%
(acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x)))
4.4%
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
3.7%
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))) x)))
6.6%
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
3.9%
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
9.4%
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (* (PI) (/ (PI) 4))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
6.2%
#s(approx (- (/ (PI) 2) (/ (- (* (PI) (+ (asin (- 1 x)) (/ (PI) 2))) (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))))) (* 2 (+ (asin (- 1 x)) (/ (PI) 2))))) (*.f64 (-.f64 (PI.f64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (PI.f64) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1/2 binary64)))
6.2%
#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 2 603 to 1 711 computations (34.3% saved)

series36.0ms (1%)

Memory
-9.4MiB live, 37.7MiB allocated; 1ms collecting garbage
Counts
62 → 107
Calls
Call 1
Inputs
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
(fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))
#s(literal 1/16 binary64)
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(pow.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 3 binary64)
(fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(*.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(-.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (PI.f64) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) x) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))))
#s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) x) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) x) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) x)
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))
(*.f64 (*.f64 x x) x)
(*.f64 x x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.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 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (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 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))
#s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (*.f64 (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(sqrt.f64 (PI.f64))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (+.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))
(*.f64 #s(literal 2 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
Outputs
#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 (/ (+ (* (* 1/16 (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) 1/4)) (pow (* (asin (- x 1)) (asin (- 1 x))) 3)) (+ (* 1/16 (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (asin (- x 1)) (asin (- 1 x))) (- (* (asin (- x 1)) (asin (- 1 x))) (* (* (PI) (PI)) 1/4))))) #s(hole binary64 (/ (+ (* 1/64 (pow (PI) 6)) (* (pow (asin (- 1 x)) 3) (pow (asin (- x 1)) 3))) (+ (* 1/16 (pow (PI) 4)) (* (asin (- 1 x)) (* (asin (- x 1)) (- (* (asin (- 1 x)) (asin (- x 1))) (* 1/4 (pow (PI) 2)))))))))
#s(approx (+ (* (* 1/16 (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) 1/4)) (pow (* (asin (- x 1)) (asin (- 1 x))) 3)) #s(hole binary64 (+ (* 1/64 (pow (PI) 6)) (* (pow (asin (- 1 x)) 3) (pow (asin (- x 1)) 3)))))
#s(approx (pow (* (asin (- x 1)) (asin (- 1 x))) 3) #s(hole binary64 (* (pow (asin (- 1 x)) 3) (pow (asin (- x 1)) 3))))
#s(approx (* (asin (- x 1)) (asin (- 1 x))) #s(hole binary64 (* (asin (- 1 x)) (asin (- x 1)))))
#s(approx (asin (- x 1)) #s(hole binary64 (asin (- x 1))))
#s(approx (- x 1) #s(hole binary64 -1))
#s(approx (- x 1) #s(hole binary64 (- x 1)))
#s(approx x #s(hole binary64 x))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (- 1 x))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (+ (* 1/16 (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (asin (- x 1)) (asin (- 1 x))) (- (* (asin (- x 1)) (asin (- 1 x))) (* (* (PI) (PI)) 1/4)))) #s(hole binary64 (+ (* 1/16 (pow (PI) 4)) (* (asin (- 1 x)) (* (asin (- x 1)) (- (* (asin (- 1 x)) (asin (- x 1))) (* 1/4 (pow (PI) 2))))))))
#s(approx (* (* (asin (- x 1)) (asin (- 1 x))) (- (* (asin (- x 1)) (asin (- 1 x))) (* (* (PI) (PI)) 1/4))) #s(hole binary64 (* (asin (- 1 x)) (* (asin (- x 1)) (- (* (asin (- 1 x)) (asin (- x 1))) (* 1/4 (pow (PI) 2)))))))
#s(approx (- (* (asin (- x 1)) (asin (- 1 x))) (* (* (PI) (PI)) 1/4)) #s(hole binary64 (- (* (asin (- 1 x)) (asin (- x 1))) (* 1/4 (pow (PI) 2)))))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (- 1 x)) (* 1/2 (PI)))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (- 1 x)))))
#s(approx (- (* 1/2 (PI)) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (- 1 x)))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (- 1 x))))
#s(approx (/ (* (- (/ 1 (* (* x x) x)) 1) x) (+ (* (/ 1 x) (- (/ 1 x) -1)) 1)) #s(hole binary64 1))
#s(approx (/ (* (- (/ 1 (* (* x x) x)) 1) x) (+ (* (/ 1 x) (- (/ 1 x) -1)) 1)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* (- (/ 1 (* (* x x) x)) 1) x) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* (- (/ 1 (* (* x x) x)) 1) x) #s(hole binary64 (/ (+ 1 (* -1 (pow x 3))) (pow x 2))))
#s(approx (- (/ 1 (* (* x x) x)) 1) #s(hole binary64 (/ 1 (pow x 3))))
#s(approx (- (/ 1 (* (* x x) x)) 1) #s(hole binary64 (/ (+ 1 (* -1 (pow x 3))) (pow x 3))))
#s(approx (/ 1 (* (* x x) x)) #s(hole binary64 (/ 1 (pow x 3))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (/ 1 x) (- (/ 1 x) -1)) 1) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (+ (* (/ 1 x) (- (/ 1 x) -1)) 1) #s(hole binary64 (/ (+ 1 x) (pow x 2))))
#s(approx (+ (* (/ 1 x) (- (/ 1 x) -1)) 1) #s(hole binary64 (/ (+ 1 (* x (+ 1 x))) (pow x 2))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ 1 x) -1) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ 1 x) -1) #s(hole binary64 (/ (+ 1 x) x)))
#s(approx (+ (* (* 1/4 (PI)) (PI)) (* (asin (+ -1 x)) (asin (- 1 x)))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (- x 1))))))
#s(approx (* (asin (+ -1 x)) (asin (- 1 x))) #s(hole binary64 (* (asin (- 1 x)) (asin (- x 1)))))
#s(approx (asin (+ -1 x)) #s(hole binary64 (asin (- x 1))))
#s(approx (+ -1 x) #s(hole binary64 -1))
#s(approx (+ -1 x) #s(hole binary64 (- x 1)))
#s(approx (* (- 1 (/ 1 x)) x) #s(hole binary64 -1))
#s(approx (* (- 1 (/ 1 x)) x) #s(hole binary64 (- x 1)))
#s(approx (- 1 (/ 1 x)) #s(hole binary64 (/ -1 x)))
#s(approx (- 1 (/ 1 x)) #s(hole binary64 (/ (- x 1) x)))
#s(approx (- (/ (PI) 2) (/ (- (* (* (+ (asin (- 1 x)) (/ (PI) 2)) (sqrt (PI))) (sqrt (PI))) (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))))) (* 2 (+ (asin (- 1 x)) (/ (PI) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 1/2 (/ (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (+ (asin (- 1 x)) (* 1/2 (PI))))))))
#s(approx (/ (- (* (* (+ (asin (- 1 x)) (/ (PI) 2)) (sqrt (PI))) (sqrt (PI))) (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))))) (* 2 (+ (asin (- 1 x)) (/ (PI) 2)))) #s(hole binary64 (* 1/2 (/ (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (+ (asin (- 1 x)) (* 1/2 (PI)))))))
#s(approx (- (* (* (+ (asin (- 1 x)) (/ (PI) 2)) (sqrt (PI))) (sqrt (PI))) (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))))) #s(hole binary64 (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))))))
#s(approx (* (* (+ (asin (- 1 x)) (/ (PI) 2)) (sqrt (PI))) (sqrt (PI))) #s(hole binary64 (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (* (+ (asin (- 1 x)) (/ (PI) 2)) (sqrt (PI))) #s(hole binary64 (* (sqrt (PI)) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (+ (asin (- 1 x)) (/ (PI) 2)) #s(hole binary64 (+ (asin (- 1 x)) (* 1/2 (PI)))))
#s(approx (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x)))) #s(hole binary64 (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))))
#s(approx (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))) #s(hole binary64 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (* 2 (+ (asin (- 1 x)) (/ (PI) 2))) #s(hole binary64 (* 2 (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (- x 1) #s(hole binary64 x))
#s(approx (- x 1) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (/ (* (- (/ 1 (* (* x x) x)) 1) x) (+ (* (/ 1 x) (- (/ 1 x) -1)) 1)) #s(hole binary64 (* -1 x)))
#s(approx (/ (* (- (/ 1 (* (* x x) x)) 1) x) (+ (* (/ 1 x) (- (/ 1 x) -1)) 1)) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* (- (/ 1 (* (* x x) x)) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- (/ 1 (* (* x x) x)) 1) x) #s(hole binary64 (* x (- (/ 1 (pow x 3)) 1))))
#s(approx (- (/ 1 (* (* x x) x)) 1) #s(hole binary64 -1))
#s(approx (- (/ 1 (* (* x x) x)) 1) #s(hole binary64 (- (/ 1 (pow x 3)) 1)))
#s(approx (+ (* (/ 1 x) (- (/ 1 x) -1)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ 1 x) (- (/ 1 x) -1)) 1) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (+ (* (/ 1 x) (- (/ 1 x) -1)) 1) #s(hole binary64 (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))))
#s(approx (- (/ 1 x) -1) #s(hole binary64 1))
#s(approx (- (/ 1 x) -1) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (+ -1 x) #s(hole binary64 x))
#s(approx (+ -1 x) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (* (- 1 (/ 1 x)) x) #s(hole binary64 x))
#s(approx (* (- 1 (/ 1 x)) x) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (- 1 (/ 1 x)) #s(hole binary64 1))
#s(approx (- 1 (/ 1 x)) #s(hole binary64 (- 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 (/ (+ (* (* 1/16 (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) 1/4)) (pow (* (asin (- x 1)) (asin (- 1 x))) 3)) (+ (* 1/16 (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (asin (- x 1)) (asin (- 1 x))) (- (* (asin (- x 1)) (asin (- 1 x))) (* (* (PI) (PI)) 1/4))))) #s(hole binary64 (/ (+ (* 1/64 (pow (PI) 6)) (* (pow (asin (neg (+ 1 (* -1 x)))) 3) (pow (asin (+ 1 (* -1 x))) 3))) (+ (* 1/16 (pow (PI) 4)) (* (asin (neg (+ 1 (* -1 x)))) (* (asin (+ 1 (* -1 x))) (- (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x)))) (* 1/4 (pow (PI) 2)))))))))
#s(approx (+ (* (* 1/16 (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) 1/4)) (pow (* (asin (- x 1)) (asin (- 1 x))) 3)) #s(hole binary64 (+ (* 1/64 (pow (PI) 6)) (* (pow (asin (neg (+ 1 (* -1 x)))) 3) (pow (asin (+ 1 (* -1 x))) 3)))))
#s(approx (pow (* (asin (- x 1)) (asin (- 1 x))) 3) #s(hole binary64 (* (pow (asin (neg (+ 1 (* -1 x)))) 3) (pow (asin (+ 1 (* -1 x))) 3))))
#s(approx (* (asin (- x 1)) (asin (- 1 x))) #s(hole binary64 (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x))))))
#s(approx (asin (- x 1)) #s(hole binary64 (asin (neg (+ 1 (* -1 x))))))
#s(approx (- x 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (+ 1 (* -1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (+ (* 1/16 (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (asin (- x 1)) (asin (- 1 x))) (- (* (asin (- x 1)) (asin (- 1 x))) (* (* (PI) (PI)) 1/4)))) #s(hole binary64 (+ (* 1/16 (pow (PI) 4)) (* (asin (neg (+ 1 (* -1 x)))) (* (asin (+ 1 (* -1 x))) (- (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x)))) (* 1/4 (pow (PI) 2))))))))
#s(approx (* (* (asin (- x 1)) (asin (- 1 x))) (- (* (asin (- x 1)) (asin (- 1 x))) (* (* (PI) (PI)) 1/4))) #s(hole binary64 (* (asin (neg (+ 1 (* -1 x)))) (* (asin (+ 1 (* -1 x))) (- (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x)))) (* 1/4 (pow (PI) 2)))))))
#s(approx (- (* (asin (- x 1)) (asin (- 1 x))) (* (* (PI) (PI)) 1/4)) #s(hole binary64 (- (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x)))) (* 1/4 (pow (PI) 2)))))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (+ 1 (* -1 x))))))
#s(approx (- (* 1/2 (PI)) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (+ 1 (* -1 x))))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (+ 1 (* -1 x)))))
#s(approx (/ (* (- (/ 1 (* (* x x) x)) 1) x) (+ (* (/ 1 x) (- (/ 1 x) -1)) 1)) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* (- (/ 1 (* (* x x) x)) 1) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 (pow x 3)))))))
#s(approx (+ (* (* 1/4 (PI)) (PI)) (* (asin (+ -1 x)) (asin (- 1 x)))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x)))))))
#s(approx (* (asin (+ -1 x)) (asin (- 1 x))) #s(hole binary64 (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x))))))
#s(approx (asin (+ -1 x)) #s(hole binary64 (asin (neg (+ 1 (* -1 x))))))
#s(approx (+ -1 x) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (* (- 1 (/ 1 x)) x) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (- (/ (PI) 2) (/ (- (* (* (+ (asin (- 1 x)) (/ (PI) 2)) (sqrt (PI))) (sqrt (PI))) (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))))) (* 2 (+ (asin (- 1 x)) (/ (PI) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 1/2 (/ (- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))))
#s(approx (/ (- (* (* (+ (asin (- 1 x)) (/ (PI) 2)) (sqrt (PI))) (sqrt (PI))) (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))))) (* 2 (+ (asin (- 1 x)) (/ (PI) 2)))) #s(hole binary64 (* 1/2 (/ (- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))))
#s(approx (- (* (* (+ (asin (- 1 x)) (/ (PI) 2)) (sqrt (PI))) (sqrt (PI))) (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))))) #s(hole binary64 (- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))))
#s(approx (* (* (+ (asin (- 1 x)) (/ (PI) 2)) (sqrt (PI))) (sqrt (PI))) #s(hole binary64 (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (* (+ (asin (- 1 x)) (/ (PI) 2)) (sqrt (PI))) #s(hole binary64 (* (sqrt (PI)) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (+ (asin (- 1 x)) (/ (PI) 2)) #s(hole binary64 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
#s(approx (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x)))) #s(hole binary64 (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))))
#s(approx (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))) #s(hole binary64 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (* 2 (+ (asin (- 1 x)) (/ (PI) 2))) #s(hole binary64 (* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
Calls

3 calls:

TimeVariablePointExpression
13.0ms
x
@0
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10.0ms
x
@-inf
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9.0ms
x
@inf
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rewrite162.0ms (4.7%)

Memory
10.3MiB live, 196.0MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03173624
04283339
114522629
094202585
Stop Event
iter-limit
node-limit
iter-limit
Counts
169 → 955
Calls
Call 1
Inputs
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#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 (/ (+ (* (* 1/16 (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) 1/4)) (pow (* (asin (- x 1)) (asin (- 1 x))) 3)) (+ (* 1/16 (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (asin (- x 1)) (asin (- 1 x))) (- (* (asin (- x 1)) (asin (- 1 x))) (* (* (PI) (PI)) 1/4))))) #s(hole binary64 (/ (+ (* 1/64 (pow (PI) 6)) (* (pow (asin (- 1 x)) 3) (pow (asin (- x 1)) 3))) (+ (* 1/16 (pow (PI) 4)) (* (asin (- 1 x)) (* (asin (- x 1)) (- (* (asin (- 1 x)) (asin (- x 1))) (* 1/4 (pow (PI) 2)))))))))
#s(approx (+ (* (* 1/16 (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) 1/4)) (pow (* (asin (- x 1)) (asin (- 1 x))) 3)) #s(hole binary64 (+ (* 1/64 (pow (PI) 6)) (* (pow (asin (- 1 x)) 3) (pow (asin (- x 1)) 3)))))
#s(approx (pow (* (asin (- x 1)) (asin (- 1 x))) 3) #s(hole binary64 (* (pow (asin (- 1 x)) 3) (pow (asin (- x 1)) 3))))
#s(approx (* (asin (- x 1)) (asin (- 1 x))) #s(hole binary64 (* (asin (- 1 x)) (asin (- x 1)))))
#s(approx (asin (- x 1)) #s(hole binary64 (asin (- x 1))))
#s(approx (- x 1) #s(hole binary64 -1))
#s(approx (- x 1) #s(hole binary64 (- x 1)))
#s(approx x #s(hole binary64 x))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (- 1 x))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (+ (* 1/16 (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (asin (- x 1)) (asin (- 1 x))) (- (* (asin (- x 1)) (asin (- 1 x))) (* (* (PI) (PI)) 1/4)))) #s(hole binary64 (+ (* 1/16 (pow (PI) 4)) (* (asin (- 1 x)) (* (asin (- x 1)) (- (* (asin (- 1 x)) (asin (- x 1))) (* 1/4 (pow (PI) 2))))))))
#s(approx (* (* (asin (- x 1)) (asin (- 1 x))) (- (* (asin (- x 1)) (asin (- 1 x))) (* (* (PI) (PI)) 1/4))) #s(hole binary64 (* (asin (- 1 x)) (* (asin (- x 1)) (- (* (asin (- 1 x)) (asin (- x 1))) (* 1/4 (pow (PI) 2)))))))
#s(approx (- (* (asin (- x 1)) (asin (- 1 x))) (* (* (PI) (PI)) 1/4)) #s(hole binary64 (- (* (asin (- 1 x)) (asin (- x 1))) (* 1/4 (pow (PI) 2)))))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (- 1 x)) (* 1/2 (PI)))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (- 1 x)))))
#s(approx (- (* 1/2 (PI)) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (- 1 x)))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (- 1 x))))
#s(approx (/ (* (- (/ 1 (* (* x x) x)) 1) x) (+ (* (/ 1 x) (- (/ 1 x) -1)) 1)) #s(hole binary64 1))
#s(approx (/ (* (- (/ 1 (* (* x x) x)) 1) x) (+ (* (/ 1 x) (- (/ 1 x) -1)) 1)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* (- (/ 1 (* (* x x) x)) 1) x) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* (- (/ 1 (* (* x x) x)) 1) x) #s(hole binary64 (/ (+ 1 (* -1 (pow x 3))) (pow x 2))))
#s(approx (- (/ 1 (* (* x x) x)) 1) #s(hole binary64 (/ 1 (pow x 3))))
#s(approx (- (/ 1 (* (* x x) x)) 1) #s(hole binary64 (/ (+ 1 (* -1 (pow x 3))) (pow x 3))))
#s(approx (/ 1 (* (* x x) x)) #s(hole binary64 (/ 1 (pow x 3))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (/ 1 x) (- (/ 1 x) -1)) 1) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (+ (* (/ 1 x) (- (/ 1 x) -1)) 1) #s(hole binary64 (/ (+ 1 x) (pow x 2))))
#s(approx (+ (* (/ 1 x) (- (/ 1 x) -1)) 1) #s(hole binary64 (/ (+ 1 (* x (+ 1 x))) (pow x 2))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ 1 x) -1) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ 1 x) -1) #s(hole binary64 (/ (+ 1 x) x)))
#s(approx (+ (* (* 1/4 (PI)) (PI)) (* (asin (+ -1 x)) (asin (- 1 x)))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (- x 1))))))
#s(approx (* (asin (+ -1 x)) (asin (- 1 x))) #s(hole binary64 (* (asin (- 1 x)) (asin (- x 1)))))
#s(approx (asin (+ -1 x)) #s(hole binary64 (asin (- x 1))))
#s(approx (+ -1 x) #s(hole binary64 -1))
#s(approx (+ -1 x) #s(hole binary64 (- x 1)))
#s(approx (* (- 1 (/ 1 x)) x) #s(hole binary64 -1))
#s(approx (* (- 1 (/ 1 x)) x) #s(hole binary64 (- x 1)))
#s(approx (- 1 (/ 1 x)) #s(hole binary64 (/ -1 x)))
#s(approx (- 1 (/ 1 x)) #s(hole binary64 (/ (- x 1) x)))
#s(approx (- (/ (PI) 2) (/ (- (* (* (+ (asin (- 1 x)) (/ (PI) 2)) (sqrt (PI))) (sqrt (PI))) (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))))) (* 2 (+ (asin (- 1 x)) (/ (PI) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 1/2 (/ (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (+ (asin (- 1 x)) (* 1/2 (PI))))))))
#s(approx (/ (- (* (* (+ (asin (- 1 x)) (/ (PI) 2)) (sqrt (PI))) (sqrt (PI))) (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))))) (* 2 (+ (asin (- 1 x)) (/ (PI) 2)))) #s(hole binary64 (* 1/2 (/ (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (+ (asin (- 1 x)) (* 1/2 (PI)))))))
#s(approx (- (* (* (+ (asin (- 1 x)) (/ (PI) 2)) (sqrt (PI))) (sqrt (PI))) (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))))) #s(hole binary64 (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))))))
#s(approx (* (* (+ (asin (- 1 x)) (/ (PI) 2)) (sqrt (PI))) (sqrt (PI))) #s(hole binary64 (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (* (+ (asin (- 1 x)) (/ (PI) 2)) (sqrt (PI))) #s(hole binary64 (* (sqrt (PI)) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (+ (asin (- 1 x)) (/ (PI) 2)) #s(hole binary64 (+ (asin (- 1 x)) (* 1/2 (PI)))))
#s(approx (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x)))) #s(hole binary64 (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))))
#s(approx (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))) #s(hole binary64 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (* 2 (+ (asin (- 1 x)) (/ (PI) 2))) #s(hole binary64 (* 2 (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (- x 1) #s(hole binary64 x))
#s(approx (- x 1) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (/ (* (- (/ 1 (* (* x x) x)) 1) x) (+ (* (/ 1 x) (- (/ 1 x) -1)) 1)) #s(hole binary64 (* -1 x)))
#s(approx (/ (* (- (/ 1 (* (* x x) x)) 1) x) (+ (* (/ 1 x) (- (/ 1 x) -1)) 1)) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* (- (/ 1 (* (* x x) x)) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- (/ 1 (* (* x x) x)) 1) x) #s(hole binary64 (* x (- (/ 1 (pow x 3)) 1))))
#s(approx (- (/ 1 (* (* x x) x)) 1) #s(hole binary64 -1))
#s(approx (- (/ 1 (* (* x x) x)) 1) #s(hole binary64 (- (/ 1 (pow x 3)) 1)))
#s(approx (+ (* (/ 1 x) (- (/ 1 x) -1)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ 1 x) (- (/ 1 x) -1)) 1) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (+ (* (/ 1 x) (- (/ 1 x) -1)) 1) #s(hole binary64 (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))))
#s(approx (- (/ 1 x) -1) #s(hole binary64 1))
#s(approx (- (/ 1 x) -1) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (+ -1 x) #s(hole binary64 x))
#s(approx (+ -1 x) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (* (- 1 (/ 1 x)) x) #s(hole binary64 x))
#s(approx (* (- 1 (/ 1 x)) x) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (- 1 (/ 1 x)) #s(hole binary64 1))
#s(approx (- 1 (/ 1 x)) #s(hole binary64 (- 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 (/ (+ (* (* 1/16 (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) 1/4)) (pow (* (asin (- x 1)) (asin (- 1 x))) 3)) (+ (* 1/16 (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (asin (- x 1)) (asin (- 1 x))) (- (* (asin (- x 1)) (asin (- 1 x))) (* (* (PI) (PI)) 1/4))))) #s(hole binary64 (/ (+ (* 1/64 (pow (PI) 6)) (* (pow (asin (neg (+ 1 (* -1 x)))) 3) (pow (asin (+ 1 (* -1 x))) 3))) (+ (* 1/16 (pow (PI) 4)) (* (asin (neg (+ 1 (* -1 x)))) (* (asin (+ 1 (* -1 x))) (- (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x)))) (* 1/4 (pow (PI) 2)))))))))
#s(approx (+ (* (* 1/16 (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) 1/4)) (pow (* (asin (- x 1)) (asin (- 1 x))) 3)) #s(hole binary64 (+ (* 1/64 (pow (PI) 6)) (* (pow (asin (neg (+ 1 (* -1 x)))) 3) (pow (asin (+ 1 (* -1 x))) 3)))))
#s(approx (pow (* (asin (- x 1)) (asin (- 1 x))) 3) #s(hole binary64 (* (pow (asin (neg (+ 1 (* -1 x)))) 3) (pow (asin (+ 1 (* -1 x))) 3))))
#s(approx (* (asin (- x 1)) (asin (- 1 x))) #s(hole binary64 (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x))))))
#s(approx (asin (- x 1)) #s(hole binary64 (asin (neg (+ 1 (* -1 x))))))
#s(approx (- x 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (+ 1 (* -1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (+ (* 1/16 (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (asin (- x 1)) (asin (- 1 x))) (- (* (asin (- x 1)) (asin (- 1 x))) (* (* (PI) (PI)) 1/4)))) #s(hole binary64 (+ (* 1/16 (pow (PI) 4)) (* (asin (neg (+ 1 (* -1 x)))) (* (asin (+ 1 (* -1 x))) (- (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x)))) (* 1/4 (pow (PI) 2))))))))
#s(approx (* (* (asin (- x 1)) (asin (- 1 x))) (- (* (asin (- x 1)) (asin (- 1 x))) (* (* (PI) (PI)) 1/4))) #s(hole binary64 (* (asin (neg (+ 1 (* -1 x)))) (* (asin (+ 1 (* -1 x))) (- (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x)))) (* 1/4 (pow (PI) 2)))))))
#s(approx (- (* (asin (- x 1)) (asin (- 1 x))) (* (* (PI) (PI)) 1/4)) #s(hole binary64 (- (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x)))) (* 1/4 (pow (PI) 2)))))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (+ 1 (* -1 x))))))
#s(approx (- (* 1/2 (PI)) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (+ 1 (* -1 x))))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (+ 1 (* -1 x)))))
#s(approx (/ (* (- (/ 1 (* (* x x) x)) 1) x) (+ (* (/ 1 x) (- (/ 1 x) -1)) 1)) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* (- (/ 1 (* (* x x) x)) 1) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 (pow x 3)))))))
#s(approx (+ (* (* 1/4 (PI)) (PI)) (* (asin (+ -1 x)) (asin (- 1 x)))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x)))))))
#s(approx (* (asin (+ -1 x)) (asin (- 1 x))) #s(hole binary64 (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x))))))
#s(approx (asin (+ -1 x)) #s(hole binary64 (asin (neg (+ 1 (* -1 x))))))
#s(approx (+ -1 x) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (* (- 1 (/ 1 x)) x) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (- (/ (PI) 2) (/ (- (* (* (+ (asin (- 1 x)) (/ (PI) 2)) (sqrt (PI))) (sqrt (PI))) (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))))) (* 2 (+ (asin (- 1 x)) (/ (PI) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 1/2 (/ (- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))))
#s(approx (/ (- (* (* (+ (asin (- 1 x)) (/ (PI) 2)) (sqrt (PI))) (sqrt (PI))) (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))))) (* 2 (+ (asin (- 1 x)) (/ (PI) 2)))) #s(hole binary64 (* 1/2 (/ (- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))))
#s(approx (- (* (* (+ (asin (- 1 x)) (/ (PI) 2)) (sqrt (PI))) (sqrt (PI))) (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))))) #s(hole binary64 (- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))))
#s(approx (* (* (+ (asin (- 1 x)) (/ (PI) 2)) (sqrt (PI))) (sqrt (PI))) #s(hole binary64 (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (* (+ (asin (- 1 x)) (/ (PI) 2)) (sqrt (PI))) #s(hole binary64 (* (sqrt (PI)) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (+ (asin (- 1 x)) (/ (PI) 2)) #s(hole binary64 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
#s(approx (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x)))) #s(hole binary64 (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))))
#s(approx (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))) #s(hole binary64 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (* 2 (+ (asin (- 1 x)) (/ (PI) 2))) #s(hole binary64 (* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
Outputs
(/.f64 (neg.f64 (neg.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)))))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64))))) (+.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64))))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(neg.f64 (/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)))) (+.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 x #s(literal 1 binary64)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fabs.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))))))
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#s(literal 2 binary64)
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#s(approx x x)
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#s(approx (- (* 1/2 (PI)) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (* (- (/ 1 (* (* x x) x)) 1) x) (+ (* (/ 1 x) (- (/ 1 x) -1)) 1)) #s(literal 1 binary64))
#s(approx (/ (* (- (/ 1 (* (* x x) x)) 1) x) (+ (* (/ 1 x) (- (/ 1 x) -1)) 1)) (-.f64 #s(literal 1 binary64) x))
#s(approx (* (- (/ 1 (* (* x x) x)) 1) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (* (- (/ 1 (* (* x x) x)) 1) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (*.f64 x x)))
#s(approx (- (/ 1 (* (* x x) x)) 1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
#s(approx (- (/ 1 (* (* x x) x)) 1) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)))
#s(approx (/ 1 (* (* x x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
#s(approx (* (* x x) x) (*.f64 (*.f64 x x) x))
#s(approx (* x x) (*.f64 x x))
#s(approx (+ (* (/ 1 x) (- (/ 1 x) -1)) 1) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (+ (* (/ 1 x) (- (/ 1 x) -1)) 1) (/.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x)))
#s(approx (+ (* (/ 1 x) (- (/ 1 x) -1)) 1) (/.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 x) -1) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 x) -1) (/.f64 (-.f64 x #s(literal -1 binary64)) x))
#s(approx (+ (* (* 1/4 (PI)) (PI)) (* (asin (+ -1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64))))
#s(approx (* (asin (+ -1 x)) (asin (- 1 x))) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (asin (+ -1 x)) (asin.f64 (-.f64 x #s(literal 1 binary64))))
#s(approx (+ -1 x) #s(literal -1 binary64))
#s(approx (+ -1 x) (-.f64 x #s(literal 1 binary64)))
#s(approx (* (- 1 (/ 1 x)) x) #s(literal -1 binary64))
#s(approx (* (- 1 (/ 1 x)) x) (-.f64 x #s(literal 1 binary64)))
#s(approx (- 1 (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (- 1 (/ 1 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x))
#s(approx (- (/ (PI) 2) (/ (- (* (* (+ (asin (- 1 x)) (/ (PI) 2)) (sqrt (PI))) (sqrt (PI))) (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))))) (* 2 (+ (asin (- 1 x)) (/ (PI) 2))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64) (*.f64 #s(literal -2 binary64) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))
#s(approx (/ (- (* (* (+ (asin (- 1 x)) (/ (PI) 2)) (sqrt (PI))) (sqrt (PI))) (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))))) (* 2 (+ (asin (- 1 x)) (/ (PI) 2)))) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64) (*.f64 #s(literal -2 binary64) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/2 binary64)))
#s(approx (- (* (* (+ (asin (- 1 x)) (/ (PI) 2)) (sqrt (PI))) (sqrt (PI))) (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64) (*.f64 #s(literal -2 binary64) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))
#s(approx (* (* (+ (asin (- 1 x)) (/ (PI) 2)) (sqrt (PI))) (sqrt (PI))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)))
#s(approx (* (+ (asin (- 1 x)) (/ (PI) 2)) (sqrt (PI))) (*.f64 (sqrt.f64 (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x)))) (*.f64 (*.f64 (acos.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(literal 2 binary64)))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (*.f64 (acos.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 (* 2 (+ (asin (- 1 x)) (/ (PI) 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
#s(approx (+ -1 x) x)
#s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) 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 (/ (* (- (/ 1 (* (* x x) x)) 1) x) (+ (* (/ 1 x) (- (/ 1 x) -1)) 1)) (neg.f64 x))
#s(approx (/ (* (- (/ 1 (* (* x x) x)) 1) x) (+ (* (/ 1 x) (- (/ 1 x) -1)) 1)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (* (- (/ 1 (* (* x x) x)) 1) x) (neg.f64 x))
#s(approx (* (- (/ 1 (* (* x x) x)) 1) x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) x))
#s(approx (- (/ 1 (* (* x x) x)) 1) #s(literal -1 binary64))
#s(approx (- (/ 1 (* (* x x) x)) 1) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)))
#s(approx (+ (* (/ 1 x) (- (/ 1 x) -1)) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ 1 x) (- (/ 1 x) -1)) 1) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
#s(approx (+ (* (/ 1 x) (- (/ 1 x) -1)) 1) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))
#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)
#s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (* (- 1 (/ 1 x)) x) x)
#s(approx (* (- 1 (/ 1 x)) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (- 1 (/ 1 x)) #s(literal 1 binary64))
#s(approx (- 1 (/ 1 x)) (-.f64 #s(literal 1 binary64) (/.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 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64))))
#s(approx (+ (* (* 1/4 (PI)) (PI)) (* (asin (+ -1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64))))
#s(approx (+ (* (* 1/16 (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) 1/4)) (pow (* (asin (- x 1)) (asin (- 1 x))) 3)) (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) #s(literal 1/64 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))))
#s(approx (pow (* (asin (- x 1)) (asin (- 1 x))) 3) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))
#s(approx (* (asin (+ -1 x)) (asin (- 1 x))) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (asin (+ -1 x)) (asin.f64 (-.f64 x #s(literal 1 binary64))))
#s(approx (+ -1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (neg.f64 x)))
#s(approx (asin (- 1 x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))
#s(approx (+ (* 1/16 (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (asin (- x 1)) (asin (- 1 x))) (- (* (asin (- x 1)) (asin (- 1 x))) (* (* (PI) (PI)) 1/4)))) (fma.f64 (*.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (PI.f64)))))
#s(approx (* (* (asin (- x 1)) (asin (- 1 x))) (- (* (asin (- x 1)) (asin (- 1 x))) (* (* (PI) (PI)) 1/4))) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (- (* (asin (- x 1)) (asin (- 1 x))) (* (* (PI) (PI)) 1/4)) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
#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 (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (* 1/2 (PI)) (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 (/ (* (- (/ 1 (* (* x x) x)) 1) x) (+ (* (/ 1 x) (- (/ 1 x) -1)) 1)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))
#s(approx (* (- (/ 1 (* (* x x) x)) 1) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (neg.f64 x)))
#s(approx (+ (* (* 1/4 (PI)) (PI)) (* (asin (+ -1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64))))
#s(approx (* (asin (+ -1 x)) (asin (- 1 x))) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (asin (+ -1 x)) (asin.f64 (-.f64 x #s(literal 1 binary64))))
#s(approx (+ -1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (neg.f64 x)))
#s(approx (* (- 1 (/ 1 x)) x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (neg.f64 x)))
#s(approx (- (/ (PI) 2) (/ (- (* (* (+ (asin (- 1 x)) (/ (PI) 2)) (sqrt (PI))) (sqrt (PI))) (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))))) (* 2 (+ (asin (- 1 x)) (/ (PI) 2))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64) (*.f64 #s(literal -2 binary64) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))
#s(approx (/ (- (* (* (+ (asin (- 1 x)) (/ (PI) 2)) (sqrt (PI))) (sqrt (PI))) (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))))) (* 2 (+ (asin (- 1 x)) (/ (PI) 2)))) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64) (*.f64 #s(literal -2 binary64) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/2 binary64)))
#s(approx (- (* (* (+ (asin (- 1 x)) (/ (PI) 2)) (sqrt (PI))) (sqrt (PI))) (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64) (*.f64 #s(literal -2 binary64) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))
#s(approx (* (* (+ (asin (- 1 x)) (/ (PI) 2)) (sqrt (PI))) (sqrt (PI))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)))
#s(approx (* (+ (asin (- 1 x)) (/ (PI) 2)) (sqrt (PI))) (*.f64 (sqrt.f64 (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x)))) (*.f64 (*.f64 (acos.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(literal 2 binary64)))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (*.f64 (acos.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 (* 2 (+ (asin (- 1 x)) (/ (PI) 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))

eval187.0ms (5.4%)

Memory
-11.2MiB live, 267.4MiB allocated; 99ms collecting garbage
Compiler

Compiled 26 982 to 6 274 computations (76.7% saved)

prune87.0ms (2.5%)

Memory
23.0MiB live, 117.3MiB allocated; 4ms collecting garbage
Pruning

59 alts after pruning (54 fresh and 5 done)

PrunedKeptTotal
New1 002221 024
Fresh73239
Picked415
Done044
Total1 013591 072
Accuracy
9.6%
Counts
1 072 → 59
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.4%
(fma.f64 (/.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 x #s(literal 1 binary64))))) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
9.4%
(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 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
2.4%
(fma.f64 (/.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 x #s(literal 1 binary64))))) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
2.4%
(fma.f64 (/.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (+.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (PI.f64) #s(literal -2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
9.4%
(/.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)))) (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
7.7%
(/.f64 (fma.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))) (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 #s(approx (- 1 x) #s(literal 1 binary64)))))
6.2%
(/.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))))))
9.3%
(/.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)))))
4.3%
(/.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))))
6.2%
(/.f64 (*.f64 (+.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (PI.f64) #s(literal -2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (PI.f64) #s(literal -2 binary64))))
6.2%
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
5.0%
(/.f64 #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 (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (acos.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
4.3%
(/.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 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
4.3%
(/.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))))) #s(approx (+ (/ (PI) 2) (asin (- 1 x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
4.0%
(/.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 #s(approx (+ -1 x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
2.4%
(/.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 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
5.0%
(/.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 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(approx (+ (/ (PI) 2) (asin (- 1 x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
3.3%
(/.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 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))
5.1%
(/.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 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
5.0%
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (log.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/4 binary64))) (PI.f64) (*.f64 (asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
9.3%
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
9.4%
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
9.4%
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)))) (/.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64))))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
7.7%
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))) (-.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))
6.2%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (PI.f64) #s(literal -2 binary64))) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
2.4%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (-.f64 (*.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (-.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
2.3%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
9.3%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64))))))) (*.f64 #s(literal 2 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
9.3%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))))
2.3%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 (fma.f64 (-.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))) (*.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
9.3%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal 4 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))))
2.3%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 (*.f64 (-.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) #s(literal 4 binary64)) (*.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)))))
2.4%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 4 binary64)) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
9.3%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(approx (* 2 (+ (asin (- 1 x)) (/ (PI) 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))
6.2%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
2.4%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 x #s(literal 1 binary64))))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
4.3%
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
6.2%
(+.f64 (-.f64 (/.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))) (PI.f64)) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
6.2%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
3.9%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
4.0%
(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)))))
3.4%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) #s(literal 1 binary64)) x) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))))
3.9%
(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)))))
1.0%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) x) #s(approx (+ (* (/ 1 x) (- (/ 1 x) -1)) 1) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
2.1%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) #s(approx (- (/ 1 x) -1) (/.f64 #s(literal 1 binary64) x)))))
3.4%
(acos.f64 #s(approx (- 1 x) (/.f64 #s(approx (* (- (/ 1 (* (* x x) x)) 1) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))))
3.3%
(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)))
4.3%
(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)))
4.2%
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (*.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 (-.f64 #s(literal 1 binary64) x) x))))
4.3%
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))))
5.5%
(acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x)))
4.4%
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
3.7%
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))) x)))
6.6%
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
3.9%
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
9.4%
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (* (PI) (/ (PI) 4))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
6.2%
#s(approx (- (/ (PI) 2) (/ (- (* (PI) (+ (asin (- 1 x)) (/ (PI) 2))) (* 2 (* (+ (asin (- 1 x)) (/ (PI) 2)) (acos (- 1 x))))) (* 2 (+ (asin (- 1 x)) (/ (PI) 2))))) (*.f64 (-.f64 (PI.f64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (PI.f64) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1/2 binary64)))
9.3%
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (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)))))
6.2%
#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 3 596 to 1 801 computations (49.9% saved)

regimes69.0ms (2%)

Memory
-34.6MiB live, 64.9MiB allocated; 18ms collecting garbage
Counts
85 → 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 (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 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) #s(approx (- (/ 1 x) -1) (/.f64 #s(literal 1 binary64) x)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x 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 #s(approx (- (/ 1 x) 1) (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 #s(approx (* (- (/ 1 (* (* x x) x)) 1) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) 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 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) x) #s(approx (+ (* (/ 1 x) (- (/ 1 x) -1)) 1) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
(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)) x) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) #s(literal 1 binary64)) x) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (*.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 (-.f64 #s(literal 1 binary64) 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)) (+.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))))))
(/.f64 (fma.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))) (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 #s(approx (- 1 x) #s(literal 1 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)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (+.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (PI.f64) #s(literal -2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (PI.f64) #s(literal -2 binary64))))
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (* (PI) (/ (PI) 4))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (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 (+ (/ (PI) 2) (asin (- 1 x))) (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 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 #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))))
(/.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 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.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 #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 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(approx (+ (/ (PI) 2) (asin (- 1 x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
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(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))) (-.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 (*.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) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))))))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.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) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal 4 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (/.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 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 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 (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 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)))))))) (+.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 (*.f64 (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 (fma.f64 (-.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))) (*.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)))) (/.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64))))))))) (+.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 (*.f64 (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))))
Outputs
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)))) (/.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64))))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
Calls

3 calls:

32.0ms
x
14.0ms
(-.f64 #s(literal 1 binary64) x)
14.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
9.4%1(-.f64 #s(literal 1 binary64) x)
9.4%1(acos.f64 (-.f64 #s(literal 1 binary64) x))
9.4%1x
Compiler

Compiled 8 to 8 computations (0% saved)

regimes54.0ms (1.6%)

Memory
24.6MiB live, 71.0MiB allocated; 2ms collecting garbage
Counts
83 → 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 (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 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) #s(approx (- (/ 1 x) -1) (/.f64 #s(literal 1 binary64) x)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x 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 #s(approx (- (/ 1 x) 1) (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 #s(approx (* (- (/ 1 (* (* x x) x)) 1) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) 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)))
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(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.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 #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 (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (acos.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 4 binary64)) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 (*.f64 (-.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) #s(literal 4 binary64)) (*.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 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 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(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 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 (-.f64 (*.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (-.f64 (*.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (-.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))) (-.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 (*.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) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))))))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.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) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal 4 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (/.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 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 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 (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 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)))))))) (+.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 (*.f64 (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 (fma.f64 (-.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))) (*.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
Outputs
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
Calls

3 calls:

19.0ms
x
15.0ms
(-.f64 #s(literal 1 binary64) x)
14.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
9.4%1(acos.f64 (-.f64 #s(literal 1 binary64) x))
9.4%1(-.f64 #s(literal 1 binary64) x)
9.4%1x
Compiler

Compiled 8 to 8 computations (0% saved)

regimes53.0ms (1.5%)

Memory
14.4MiB live, 60.0MiB allocated; 3ms collecting garbage
Counts
81 → 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)))
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(fma.f64 (/.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 x #s(literal 1 binary64))))) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
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(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64))))))) (*.f64 #s(literal 2 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (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)))) (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (/.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (+.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (PI.f64) #s(literal -2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 x #s(literal 1 binary64))))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.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 #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 (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (acos.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 4 binary64)) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 (*.f64 (-.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) #s(literal 4 binary64)) (*.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 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 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(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 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 (-.f64 (*.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (-.f64 (*.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (-.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))) (-.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 (*.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) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))))))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.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) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal 4 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (/.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 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 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 (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
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
Calls

3 calls:

20.0ms
x
14.0ms
(-.f64 #s(literal 1 binary64) x)
13.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
9.4%1(-.f64 #s(literal 1 binary64) x)
9.4%1(acos.f64 (-.f64 #s(literal 1 binary64) x))
9.4%1x
Compiler

Compiled 8 to 8 computations (0% saved)

regimes50.0ms (1.4%)

Memory
4.0MiB live, 54.3MiB allocated; 6ms collecting garbage
Counts
75 → 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 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
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(/.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 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64))))))) (*.f64 #s(literal 2 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (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)))) (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (/.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (+.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (PI.f64) #s(literal -2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 x #s(literal 1 binary64))))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.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 #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 (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (acos.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 4 binary64)) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 (*.f64 (-.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) #s(literal 4 binary64)) (*.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 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 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(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 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 (-.f64 (*.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (-.f64 (*.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (-.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))) (-.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 (*.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) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))))))
Outputs
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (* (PI) (/ (PI) 4))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
Calls

3 calls:

20.0ms
x
13.0ms
(-.f64 #s(literal 1 binary64) x)
12.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
9.4%1(-.f64 #s(literal 1 binary64) x)
9.4%1(acos.f64 (-.f64 #s(literal 1 binary64) x))
9.4%1x
Compiler

Compiled 8 to 8 computations (0% saved)

regimes20.0ms (0.6%)

Memory
-24.0MiB live, 22.5MiB allocated; 2ms collecting garbage
Counts
28 → 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 (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 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) #s(approx (- (/ 1 x) -1) (/.f64 #s(literal 1 binary64) x)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x 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 #s(approx (- (/ 1 x) 1) (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 #s(approx (* (- (/ 1 (* (* x x) x)) 1) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) 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 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) x) #s(approx (+ (* (/ 1 x) (- (/ 1 x) -1)) 1) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
(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)) x) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) #s(literal 1 binary64)) x) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (*.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 (-.f64 #s(literal 1 binary64) 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)) (+.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))))))
(/.f64 (fma.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))) (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 #s(approx (- 1 x) #s(literal 1 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)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (+.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (PI.f64) #s(literal -2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (PI.f64) #s(literal -2 binary64))))
Outputs
(/.f64 (fma.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))) (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 #s(approx (- 1 x) #s(literal 1 binary64)))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Calls

3 calls:

7.0ms
x
6.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
5.0ms
(-.f64 #s(literal 1 binary64) x)
Results
AccuracySegmentsBranch
9.4%2x
9.4%2(-.f64 #s(literal 1 binary64) x)
9.4%2(acos.f64 (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 8 computations (0% saved)

regimes17.0ms (0.5%)

Memory
20.5MiB live, 20.5MiB allocated; 0ms collecting garbage
Counts
25 → 2
Calls
Call 1
Inputs
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(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 (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 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) #s(approx (- (/ 1 x) -1) (/.f64 #s(literal 1 binary64) x)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x 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 #s(approx (- (/ 1 x) 1) (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 #s(approx (* (- (/ 1 (* (* x x) x)) 1) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) 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 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) x) #s(approx (+ (* (/ 1 x) (- (/ 1 x) -1)) 1) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
(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)) x) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) #s(literal 1 binary64)) x) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (*.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 (-.f64 #s(literal 1 binary64) 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)) (+.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))))))
Outputs
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Calls

3 calls:

6.0ms
x
5.0ms
(-.f64 #s(literal 1 binary64) x)
4.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
8.5%2x
8.5%2(-.f64 #s(literal 1 binary64) x)
8.5%2(acos.f64 (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 8 computations (0% saved)

regimes3.0ms (0.1%)

Memory
5.2MiB live, 5.2MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
Outputs
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
Calls

3 calls:

1.0ms
x
1.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
1.0ms
(-.f64 #s(literal 1 binary64) x)
Results
AccuracySegmentsBranch
6.6%1(-.f64 #s(literal 1 binary64) x)
6.6%1(acos.f64 (-.f64 #s(literal 1 binary64) x))
6.6%1x
Compiler

Compiled 8 to 8 computations (0% saved)

regimes4.0ms (0.1%)

Memory
-42.2MiB live, 4.8MiB allocated; 2ms 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:

2.0ms
(-.f64 #s(literal 1 binary64) x)
1.0ms
x
1.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
3.9%1(-.f64 #s(literal 1 binary64) x)
3.9%1(acos.f64 (-.f64 #s(literal 1 binary64) x))
3.9%1x
Compiler

Compiled 8 to 8 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
1.0106459234841571e-7
Compiler

Compiled 7 to 8 computations (-14.3% saved)

bsearch17.0ms (0.5%)

Memory
13.8MiB live, 13.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
2.6374325997001588e-20
5.135101149447439e-15
Samples
11.0ms144×1valid
Compiler

Compiled 97 to 116 computations (-19.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-acos: 5.0ms (66.7% of total)
adjust: 2.0ms (26.7% of total)
ival-sub!: 1.0ms (13.3% of total)

derivations347.0ms (10.1%)

Memory
-6.1MiB live, 107.0MiB allocated; 105ms collecting garbage
Stop Event
fuel
Compiler

Compiled 201 to 93 computations (53.7% saved)

preprocess81.0ms (2.4%)

Memory
-18.0MiB live, 126.6MiB allocated; 14ms collecting garbage
Compiler

Compiled 205 to 97 computations (52.7% saved)

end0.0ms (0%)

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

Profiling

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