Ian Simplification

Time bar (total: 5.7s)

start0.0ms (0%)

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

analyze20.0ms (0.4%)

Memory
-42.3MiB live, 5.4MiB allocated; 5ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%50%0%0%50%0%3
50%25%25%0%0%50%0%4
75%37.5%12.5%0%0%50%0%5
87.5%43.7%6.2%0%0%50%0%6
93.8%46.9%3.1%0%0%50%0%7
96.9%48.4%1.6%0%0%50%0%8
98.4%49.2%0.8%0%0%50%0%9
99.2%49.6%0.4%0%0%50%0%10
99.6%49.8%0.2%0%0%50%0%11
99.8%49.9%0.1%0%0%50%0%12
Compiler

Compiled 15 to 13 computations (13.3% saved)

sample3.1s (55%)

Memory
79.9MiB live, 4 149.4MiB allocated; 599ms collecting garbage
Samples
1.6s3 361×2valid
1.2s4 752×1valid
9.0ms143×0valid
0.0ms6×0invalid
Precisions
Click to see histograms. Total time spent on operations: 2.5s
ival-asin: 1.3s (54.3% of total)
adjust: 378.0ms (15.3% of total)
ival-sqrt: 349.0ms (14.1% of total)
ival-mult!: 142.0ms (5.7% of total)
ival-sub!: 132.0ms (5.3% of total)
ival-div!: 131.0ms (5.3% of total)
ival-pi: 0.0ms (0% of total)
Bogosity

preprocess90.0ms (1.6%)

Memory
-20.2MiB live, 26.8MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01942
13842
27439
319139
465439
5307939
6782339
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶7.4%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
Compiler

Compiled 26 to 22 computations (15.4% saved)

series7.0ms (0.1%)

Memory
11.1MiB live, 11.1MiB allocated; 0ms collecting garbage
Counts
11 → 29
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
Outputs
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2))))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 1/2))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (+ 1/2 (* -1/2 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 (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* -1/2 x)))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/ (PI) 2) (PI) 2 (* 2 (asin (sqrt (/ (- 1 x) 2)))) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (- 1 x) 1 x)
2.0ms
x
@inf
((- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/ (PI) 2) (PI) 2 (* 2 (asin (sqrt (/ (- 1 x) 2)))) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (- 1 x) 1 x)
1.0ms
x
@0
((- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/ (PI) 2) (PI) 2 (* 2 (asin (sqrt (/ (- 1 x) 2)))) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (- 1 x) 1 x)

rewrite47.0ms (0.8%)

Memory
14.9MiB live, 62.0MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0150707
0161608
0767587
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
40 → 53
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2))))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 1/2))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (+ 1/2 (* -1/2 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 (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* -1/2 x)))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 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 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(+.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
#s(approx (asin (sqrt (/ (- 1 x) 2))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (/ (- 1 x) 2)) (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (/ (- 1 x) 2)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (/ (- 1 x) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))
#s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (+.f64 (neg.f64 x) #s(literal 1 binary64)))
#s(approx x x)
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x)))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))) x))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64))))) x))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))))) x))
#s(approx (/ (- 1 x) 2) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 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 (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal 2 binary64)))
#s(approx (asin (sqrt (/ (- 1 x) 2))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))))
#s(approx (sqrt (/ (- 1 x) 2)) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x))))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64))))))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))))))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64))))))))
#s(approx (/ (- 1 x) 2) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))

eval6.0ms (0.1%)

Memory
11.8MiB live, 11.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 587 to 290 computations (50.6% saved)

prune5.0ms (0.1%)

Memory
9.3MiB live, 9.3MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New37643
Fresh000
Picked101
Done000
Total38644
Accuracy
10.3%
Counts
44 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.4%
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))))
▶7.4%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
▶8.8%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))))
▶7.6%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
▶4.1%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
▶7.4%
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
Compiler

Compiled 266 to 186 computations (30.1% saved)

series20.0ms (0.4%)

Memory
-13.7MiB live, 33.7MiB allocated; 2ms collecting garbage
Counts
38 → 100
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))
#s(literal -2 binary64)
(asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
Outputs
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x)))))))))
#s(approx (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x))))))))
#s(approx (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x)))))))
#s(approx (acos (sqrt (/ (- 1 x) 2))) #s(hole binary64 (acos (* (sqrt 1/2) (sqrt (- 1 x))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2))))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 1/2))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
#s(approx (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) #s(hole binary64 (+ (* -2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))) (* 1/2 (PI)))))
#s(approx (* -2 (asin (sqrt (* 1/2 (- 1 x))))) #s(hole binary64 (* -2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))
#s(approx (asin (sqrt (* 1/2 (- 1 x)))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2))))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2))))))))))
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 1/2))
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))))
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) #s(hole binary64 (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))))))
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) #s(hole binary64 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ x (sqrt 2))) (/ 1 (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* x (- (* -1/8 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* x (- (* x (- (* -1/16 (/ x (sqrt 2))) (* 1/8 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 1))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2)))))
#s(approx (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2))))
#s(approx (* (asin (sqrt (/ (- 1 x) 2))) 2) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))
#s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* -1/2 x)))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (* -1/2 x)))
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* (sqrt x) (/ (sqrt -1) (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (* (pow (sqrt -1) 3) (sqrt 2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (* (pow (sqrt -1) 3) (sqrt 2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (* (pow (sqrt -1) 5) (sqrt 2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* (sqrt x) (sqrt -1))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))))
#s(approx (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))
#s(approx (acos (sqrt (/ (- 1 x) 2))) #s(hole binary64 (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
#s(approx (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) #s(hole binary64 (+ (* -2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) (* 1/2 (PI)))))
#s(approx (* -2 (asin (sqrt (* 1/2 (- 1 x))))) #s(hole binary64 (* -2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))
#s(approx (asin (sqrt (* 1/2 (- 1 x)))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))))
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) #s(hole binary64 (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x))))))))
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) #s(hole binary64 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* (sqrt x) (/ (sqrt -1) (sqrt 2))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (sqrt -1)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2)))))
#s(approx (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))))
#s(approx (* (asin (sqrt (/ (- 1 x) 2))) 2) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))
#s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))
Calls

3 calls:

TimeVariablePointExpression
6.0ms
x
@-inf
((- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (/ (PI) 2) (PI) 2 (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2))))) (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) (acos (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (- 1 x) 1 x (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (* 2 (asin (sqrt (/ (- 1 x) 2)))) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) 1/2 (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) (* -2 (asin (sqrt (* 1/2 (- 1 x))))) -2 (asin (sqrt (* 1/2 (- 1 x)))) (sqrt (* 1/2 (- 1 x))) (* 1/2 (- 1 x)) (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) (asin (/ (sqrt (- 1 x)) (sqrt 2))) (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt (- 1 x)) (sqrt 2) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (sqrt (/ (- 1 x) 2))) 2) (asin (sqrt (/ (- 1 x) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)))
5.0ms
x
@0
((- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (/ (PI) 2) (PI) 2 (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2))))) (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) (acos (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (- 1 x) 1 x (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (* 2 (asin (sqrt (/ (- 1 x) 2)))) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) 1/2 (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) (* -2 (asin (sqrt (* 1/2 (- 1 x))))) -2 (asin (sqrt (* 1/2 (- 1 x)))) (sqrt (* 1/2 (- 1 x))) (* 1/2 (- 1 x)) (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) (asin (/ (sqrt (- 1 x)) (sqrt 2))) (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt (- 1 x)) (sqrt 2) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (sqrt (/ (- 1 x) 2))) 2) (asin (sqrt (/ (- 1 x) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)))
5.0ms
x
@inf
((- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (/ (PI) 2) (PI) 2 (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2))))) (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) (acos (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (- 1 x) 1 x (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (* 2 (asin (sqrt (/ (- 1 x) 2)))) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) 1/2 (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) (* -2 (asin (sqrt (* 1/2 (- 1 x))))) -2 (asin (sqrt (* 1/2 (- 1 x)))) (sqrt (* 1/2 (- 1 x))) (* 1/2 (- 1 x)) (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) (asin (/ (sqrt (- 1 x)) (sqrt 2))) (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt (- 1 x)) (sqrt 2) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (sqrt (/ (- 1 x) 2))) 2) (asin (sqrt (/ (- 1 x) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)))

rewrite79.0ms (1.4%)

Memory
-12.8MiB live, 84.5MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04023176
04622607
020362522
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
138 → 233
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))
#s(literal -2 binary64)
(asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x)))))))))
#s(approx (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x))))))))
#s(approx (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x)))))))
#s(approx (acos (sqrt (/ (- 1 x) 2))) #s(hole binary64 (acos (* (sqrt 1/2) (sqrt (- 1 x))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2))))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 1/2))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
#s(approx (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) #s(hole binary64 (+ (* -2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))) (* 1/2 (PI)))))
#s(approx (* -2 (asin (sqrt (* 1/2 (- 1 x))))) #s(hole binary64 (* -2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))
#s(approx (asin (sqrt (* 1/2 (- 1 x)))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2))))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2))))))))))
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 1/2))
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))))
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) #s(hole binary64 (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))))))
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) #s(hole binary64 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ x (sqrt 2))) (/ 1 (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* x (- (* -1/8 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* x (- (* x (- (* -1/16 (/ x (sqrt 2))) (* 1/8 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 1))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2)))))
#s(approx (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2))))
#s(approx (* (asin (sqrt (/ (- 1 x) 2))) 2) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))
#s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* -1/2 x)))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (* -1/2 x)))
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* (sqrt x) (/ (sqrt -1) (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (* (pow (sqrt -1) 3) (sqrt 2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (* (pow (sqrt -1) 3) (sqrt 2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (* (pow (sqrt -1) 5) (sqrt 2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* (sqrt x) (sqrt -1))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))))
#s(approx (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))
#s(approx (acos (sqrt (/ (- 1 x) 2))) #s(hole binary64 (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
#s(approx (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) #s(hole binary64 (+ (* -2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) (* 1/2 (PI)))))
#s(approx (* -2 (asin (sqrt (* 1/2 (- 1 x))))) #s(hole binary64 (* -2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))
#s(approx (asin (sqrt (* 1/2 (- 1 x)))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))))
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) #s(hole binary64 (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x))))))))
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) #s(hole binary64 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* (sqrt x) (/ (sqrt -1) (sqrt 2))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (sqrt -1)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2)))))
#s(approx (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))))
#s(approx (* (asin (sqrt (/ (- 1 x) 2))) 2) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))
#s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))
Outputs
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)))) (neg.f64 (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(+.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))
(+.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))
(pow.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
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(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(+.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 2 binary64)))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))
#s(approx (asin (sqrt (/ (- 1 x) 2))) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))
#s(approx (acos (sqrt (/ (- 1 x) 2))) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (/ (- 1 x) 2)) (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (/ (- 1 x) 2)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (/ (- 1 x) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))
#s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (+.f64 (neg.f64 x) #s(literal 1 binary64)))
#s(approx x x)
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
#s(approx (asin (sqrt (/ (- 1 x) 2))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (* -2 (asin (sqrt (* 1/2 (- 1 x))))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
#s(approx (asin (sqrt (* 1/2 (- 1 x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (* 1/2 (- 1 x))) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (* 1/2 (- 1 x))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (- 1 x))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (- 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))
#s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
#s(approx (asin (sqrt (/ (- 1 x) 2))) (asin.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (/ (- 1 x) 2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (/ (- 1 x) 2)) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (sqrt (/ (- 1 x) 2)) (fma.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (sqrt (/ (- 1 x) 2)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/16 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (sqrt (- 1 x)) #s(literal 1 binary64))
#s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (- 1 x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (- 1 x)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))))
#s(approx (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 4 binary64)))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
#s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x)))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))) x))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64))))) x))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))))) x))
#s(approx (/ (- 1 x) 2) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 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 (sqrt (* 1/2 (- 1 x))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x)))
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))) x))
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64))))) x))
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))))) x))
#s(approx (* 1/2 (- 1 x)) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* 1/2 (- 1 x)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x)))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))) x))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64))))) x))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -5 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))))) x))
#s(approx (sqrt (- 1 x)) (sqrt.f64 (neg.f64 x)))
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) x))
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) x))
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -5 binary64)) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) x))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64)))))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64)))))) #s(literal 2 binary64)))
#s(approx (asin (sqrt (/ (- 1 x) 2))) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64)))))))
#s(approx (acos (sqrt (/ (- 1 x) 2))) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))))
#s(approx (sqrt (/ (- 1 x) 2)) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x))))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64))))))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))))))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64))))))))
#s(approx (/ (- 1 x) 2) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal 2 binary64)))
#s(approx (asin (sqrt (/ (- 1 x) 2))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))))
#s(approx (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (* -2 (asin (sqrt (* 1/2 (- 1 x))))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal -2 binary64)))
#s(approx (asin (sqrt (* 1/2 (- 1 x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))))
#s(approx (sqrt (* 1/2 (- 1 x))) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x))))
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64))))))
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))))))
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64))))))))
#s(approx (* 1/2 (- 1 x)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) (*.f64 (asin.f64 (*.f64 (sqrt.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64)))
#s(approx (asin (sqrt (/ (- 1 x) 2))) (asin.f64 (*.f64 (sqrt.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (sqrt (/ (- 1 x) 2)) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x))))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64))))))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))))))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64))))))))
#s(approx (sqrt (- 1 x)) (neg.f64 (sqrt.f64 (neg.f64 x))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal -1 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal 2 binary64)))))
#s(approx (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64)))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal 2 binary64)))
#s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))

eval31.0ms (0.5%)

Memory
19.0MiB live, 65.2MiB allocated; 2ms collecting garbage
Compiler

Compiled 4 281 to 1 299 computations (69.7% saved)

prune24.0ms (0.4%)

Memory
-1.7MiB live, 45.3MiB allocated; 3ms collecting garbage
Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New25919278
Fresh101
Picked415
Done000
Total26420284
Accuracy
10.4%
Counts
284 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.4%
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
7.4%
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
7.4%
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))))
4.1%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
▶8.8%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
7.4%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))))
6.7%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
6.1%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
▶4.9%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
▶7.5%
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
7.4%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))))))
5.1%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))))
✓7.6%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
4.2%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
8.8%
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))))
▶7.3%
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))))))
7.4%
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
▶4.1%
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))))))
7.4%
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
7.4%
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
Compiler

Compiled 1 277 to 862 computations (32.5% saved)

series32.0ms (0.6%)

Memory
-3.5MiB live, 49.5MiB allocated; 5ms collecting garbage
Counts
49 → 124
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))))))
#s(literal 1/2 binary64)
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))))
#s(literal -2 binary64)
(asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(*.f64 (PI.f64) (PI.f64))
#s(literal 4 binary64)
(fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
Outputs
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (* (asin (* (sqrt 1/2) (sqrt (- 1 x)))) (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (* (asin (* (sqrt 1/2) (sqrt (- 1 x)))) (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))))))))
#s(approx (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (* 4 (* (asin (* (sqrt 1/2) (sqrt (- 1 x)))) (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))))
#s(approx (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) #s(hole binary64 (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))))))
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) #s(hole binary64 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ x (sqrt 2))) (/ 1 (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* x (- (* -1/8 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* x (- (* x (- (* -1/16 (/ x (sqrt 2))) (* 1/8 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 1))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))))
#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 (sqrt (/ (- 1 x) 2))) 2) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2))))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 1/2))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))))
#s(approx (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) #s(hole binary64 (+ (* -2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))) (* 1/2 (PI)))))
#s(approx (* -2 (asin (sqrt (* 1/2 (- 1 x))))) #s(hole binary64 (* -2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))
#s(approx (asin (sqrt (* 1/2 (- 1 x)))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2))))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2))))))))))
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 1/2))
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx (+ (* 1/2 (PI)) (* -2 (asin (* (sqrt (- 1 x)) (sqrt 1/2))))) #s(hole binary64 (+ (* -2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))) (* 1/2 (PI)))))
#s(approx (* -2 (asin (* (sqrt (- 1 x)) (sqrt 1/2)))) #s(hole binary64 (* -2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))
#s(approx (asin (* (sqrt (- 1 x)) (sqrt 1/2))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2))))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2))))))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2))))))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2)))))
#s(approx (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2))))
#s(approx (- (/ (/ (* (PI) (PI)) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/ (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)))) #s(hole binary64 (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))) (* 4 (/ (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))))))
#s(approx (/ (/ (* (PI) (PI)) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) #s(hole binary64 (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))))))
#s(approx (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))))
#s(approx (/ (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) #s(hole binary64 (* 4 (/ (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))))))
#s(approx (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) #s(hole binary64 (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2))))
#s(approx (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2)))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* (sqrt x) (/ (sqrt -1) (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (* (pow (sqrt -1) 3) (sqrt 2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (* (pow (sqrt -1) 3) (sqrt 2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (* (pow (sqrt -1) 5) (sqrt 2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* (sqrt x) (sqrt -1))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* -1/2 x)))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (* -1/2 x)))
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (* (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (* (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x))))))))))
#s(approx (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (* 4 (* (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) #s(hole binary64 (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x))))))))
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) #s(hole binary64 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* (sqrt x) (/ (sqrt -1) (sqrt 2))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (sqrt -1)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* (asin (sqrt (/ (- 1 x) 2))) 2) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) #s(hole binary64 (+ (* -2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) (* 1/2 (PI)))))
#s(approx (* -2 (asin (sqrt (* 1/2 (- 1 x))))) #s(hole binary64 (* -2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))
#s(approx (asin (sqrt (* 1/2 (- 1 x)))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))))
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (+ (* 1/2 (PI)) (* -2 (asin (* (sqrt (- 1 x)) (sqrt 1/2))))) #s(hole binary64 (+ (* -2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) (* 1/2 (PI)))))
#s(approx (* -2 (asin (* (sqrt (- 1 x)) (sqrt 1/2)))) #s(hole binary64 (* -2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))
#s(approx (asin (* (sqrt (- 1 x)) (sqrt 1/2))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2)))))
#s(approx (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))))
#s(approx (- (/ (/ (* (PI) (PI)) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/ (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)))) #s(hole binary64 (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))) (* 4 (/ (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))))))
#s(approx (/ (/ (* (PI) (PI)) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) #s(hole binary64 (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))))
#s(approx (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (/ (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) #s(hole binary64 (* 4 (/ (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))))
#s(approx (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) #s(hole binary64 (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))))
#s(approx (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2)))
Calls

3 calls:

TimeVariablePointExpression
12.0ms
x
@0
((/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (* (/ (PI) 2) (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (asin (/ (sqrt (- 1 x)) (sqrt 2))) (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt (- 1 x)) (- 1 x) 1 x (sqrt 2) (* (asin (sqrt (/ (- 1 x) 2))) 2) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) 1/2 (* -2 (asin (sqrt (* 1/2 (- 1 x))))) -2 (asin (sqrt (* 1/2 (- 1 x)))) (sqrt (* 1/2 (- 1 x))) (* 1/2 (- 1 x)) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (+ (* 1/2 (PI)) (* -2 (asin (* (sqrt (- 1 x)) (sqrt 1/2))))) (* -2 (asin (* (sqrt (- 1 x)) (sqrt 1/2)))) (asin (* (sqrt (- 1 x)) (sqrt 1/2))) (* (sqrt (- 1 x)) (sqrt 1/2)) (sqrt 1/2) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (sqrt (/ (- 1 x) 2))) 2) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (- (/ (/ (* (PI) (PI)) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/ (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)))) (/ (/ (* (PI) (PI)) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/ (* (PI) (PI)) 4) (* (PI) (PI)) 4 (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (/ (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))))
9.0ms
x
@inf
((/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (* (/ (PI) 2) (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (asin (/ (sqrt (- 1 x)) (sqrt 2))) (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt (- 1 x)) (- 1 x) 1 x (sqrt 2) (* (asin (sqrt (/ (- 1 x) 2))) 2) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) 1/2 (* -2 (asin (sqrt (* 1/2 (- 1 x))))) -2 (asin (sqrt (* 1/2 (- 1 x)))) (sqrt (* 1/2 (- 1 x))) (* 1/2 (- 1 x)) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (+ (* 1/2 (PI)) (* -2 (asin (* (sqrt (- 1 x)) (sqrt 1/2))))) (* -2 (asin (* (sqrt (- 1 x)) (sqrt 1/2)))) (asin (* (sqrt (- 1 x)) (sqrt 1/2))) (* (sqrt (- 1 x)) (sqrt 1/2)) (sqrt 1/2) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (sqrt (/ (- 1 x) 2))) 2) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (- (/ (/ (* (PI) (PI)) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/ (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)))) (/ (/ (* (PI) (PI)) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/ (* (PI) (PI)) 4) (* (PI) (PI)) 4 (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (/ (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))))
6.0ms
x
@-inf
((/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (* (/ (PI) 2) (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (asin (/ (sqrt (- 1 x)) (sqrt 2))) (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt (- 1 x)) (- 1 x) 1 x (sqrt 2) (* (asin (sqrt (/ (- 1 x) 2))) 2) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) 1/2 (* -2 (asin (sqrt (* 1/2 (- 1 x))))) -2 (asin (sqrt (* 1/2 (- 1 x)))) (sqrt (* 1/2 (- 1 x))) (* 1/2 (- 1 x)) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (+ (* 1/2 (PI)) (* -2 (asin (* (sqrt (- 1 x)) (sqrt 1/2))))) (* -2 (asin (* (sqrt (- 1 x)) (sqrt 1/2)))) (asin (* (sqrt (- 1 x)) (sqrt 1/2))) (* (sqrt (- 1 x)) (sqrt 1/2)) (sqrt 1/2) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (sqrt (/ (- 1 x) 2))) 2) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (- (/ (/ (* (PI) (PI)) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/ (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)))) (/ (/ (* (PI) (PI)) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/ (* (PI) (PI)) 4) (* (PI) (PI)) 4 (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (/ (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))))

rewrite88.0ms (1.6%)

Memory
-6.8MiB live, 135.0MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04544623
05353650
022223537
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
173 → 319
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))))))
#s(literal 1/2 binary64)
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))))
#s(literal -2 binary64)
(asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(*.f64 (PI.f64) (PI.f64))
#s(literal 4 binary64)
(fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (* (asin (* (sqrt 1/2) (sqrt (- 1 x)))) (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (* (asin (* (sqrt 1/2) (sqrt (- 1 x)))) (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))))))))
#s(approx (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (* 4 (* (asin (* (sqrt 1/2) (sqrt (- 1 x)))) (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))))
#s(approx (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) #s(hole binary64 (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))))))
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) #s(hole binary64 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ x (sqrt 2))) (/ 1 (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* x (- (* -1/8 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* x (- (* x (- (* -1/16 (/ x (sqrt 2))) (* 1/8 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 1))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))))
#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 (sqrt (/ (- 1 x) 2))) 2) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2))))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 1/2))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))))
#s(approx (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) #s(hole binary64 (+ (* -2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))) (* 1/2 (PI)))))
#s(approx (* -2 (asin (sqrt (* 1/2 (- 1 x))))) #s(hole binary64 (* -2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))
#s(approx (asin (sqrt (* 1/2 (- 1 x)))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2))))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2))))))))))
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 1/2))
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx (+ (* 1/2 (PI)) (* -2 (asin (* (sqrt (- 1 x)) (sqrt 1/2))))) #s(hole binary64 (+ (* -2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))) (* 1/2 (PI)))))
#s(approx (* -2 (asin (* (sqrt (- 1 x)) (sqrt 1/2)))) #s(hole binary64 (* -2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))
#s(approx (asin (* (sqrt (- 1 x)) (sqrt 1/2))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2))))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2))))))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2))))))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2)))))
#s(approx (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2))))
#s(approx (- (/ (/ (* (PI) (PI)) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/ (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)))) #s(hole binary64 (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))) (* 4 (/ (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))))))
#s(approx (/ (/ (* (PI) (PI)) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) #s(hole binary64 (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))))))
#s(approx (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))))
#s(approx (/ (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) #s(hole binary64 (* 4 (/ (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))))))
#s(approx (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) #s(hole binary64 (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2))))
#s(approx (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2)))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* (sqrt x) (/ (sqrt -1) (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (* (pow (sqrt -1) 3) (sqrt 2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (* (pow (sqrt -1) 3) (sqrt 2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (* (pow (sqrt -1) 5) (sqrt 2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* (sqrt x) (sqrt -1))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* -1/2 x)))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (* -1/2 x)))
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (* (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (* (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x))))))))))
#s(approx (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (* 4 (* (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) #s(hole binary64 (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x))))))))
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) #s(hole binary64 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* (sqrt x) (/ (sqrt -1) (sqrt 2))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (sqrt -1)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* (asin (sqrt (/ (- 1 x) 2))) 2) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) #s(hole binary64 (+ (* -2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) (* 1/2 (PI)))))
#s(approx (* -2 (asin (sqrt (* 1/2 (- 1 x))))) #s(hole binary64 (* -2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))
#s(approx (asin (sqrt (* 1/2 (- 1 x)))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))))
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (+ (* 1/2 (PI)) (* -2 (asin (* (sqrt (- 1 x)) (sqrt 1/2))))) #s(hole binary64 (+ (* -2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) (* 1/2 (PI)))))
#s(approx (* -2 (asin (* (sqrt (- 1 x)) (sqrt 1/2)))) #s(hole binary64 (* -2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))
#s(approx (asin (* (sqrt (- 1 x)) (sqrt 1/2))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2)))))
#s(approx (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))))
#s(approx (- (/ (/ (* (PI) (PI)) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/ (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)))) #s(hole binary64 (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))) (* 4 (/ (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))))))
#s(approx (/ (/ (* (PI) (PI)) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) #s(hole binary64 (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))))
#s(approx (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (/ (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) #s(hole binary64 (* 4 (/ (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))))
#s(approx (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) #s(hole binary64 (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))))
#s(approx (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2)))
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (fma.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)))) (neg.f64 (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
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#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (sqrt (- 1 x)) #s(literal 1 binary64))
#s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (- 1 x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (- 1 x)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (+.f64 (neg.f64 x) #s(literal 1 binary64)))
#s(approx x x)
#s(approx (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/16 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))
#s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
#s(approx (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (+ (* 1/2 (PI)) (* -2 (asin (* (sqrt (- 1 x)) (sqrt 1/2))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (* -2 (asin (* (sqrt (- 1 x)) (sqrt 1/2)))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
#s(approx (asin (* (sqrt (- 1 x)) (sqrt 1/2))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/16 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))
#s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
#s(approx (+ (* 1/2 (PI)) (* -2 (asin (* (sqrt (- 1 x)) (sqrt 1/2))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (* -2 (asin (* (sqrt (- 1 x)) (sqrt 1/2)))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
#s(approx (asin (* (sqrt (- 1 x)) (sqrt 1/2))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/16 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))))
#s(approx (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 4 binary64)))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (/ (/ (* (PI) (PI)) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 1/4 binary64)))
#s(approx (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (/ (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (*.f64 (/.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 4 binary64)))
#s(approx (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 4 binary64)))
#s(approx (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x)))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (fma.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64))) x))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64)))) x))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -5 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64))))) x))
#s(approx (sqrt (- 1 x)) (sqrt.f64 (neg.f64 x)))
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) x))
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) x))
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -5 binary64)) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) x))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x)))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) x))
#s(approx (/ (- 1 x) 2) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x)))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) x))
#s(approx (* 1/2 (- 1 x)) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* 1/2 (- 1 x)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x)))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x))
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#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) (asin.f64 (*.f64 (sqrt.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) (asin.f64 (*.f64 (sqrt.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))))
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#s(approx (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (*.f64 (asin.f64 (*.f64 (sqrt.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64)))
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) (asin.f64 (*.f64 (sqrt.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))))
#s(approx (sqrt (- 1 x)) (neg.f64 (sqrt.f64 (neg.f64 x))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal -1 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))))
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal 2 binary64)))
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))))
#s(approx (/ (- 1 x) 2) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
#s(approx (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
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#s(approx (* -2 (asin (* (sqrt (- 1 x)) (sqrt 1/2)))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal -2 binary64)))
#s(approx (asin (* (sqrt (- 1 x)) (sqrt 1/2))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))))
#s(approx (* 1/2 (- 1 x)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
#s(approx (+ (* 1/2 (PI)) (* -2 (asin (* (sqrt (- 1 x)) (sqrt 1/2))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (* -2 (asin (* (sqrt (- 1 x)) (sqrt 1/2)))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal -2 binary64)))
#s(approx (asin (* (sqrt (- 1 x)) (sqrt 1/2))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal 2 binary64)))))
#s(approx (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64)))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (/ (/ (* (PI) (PI)) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (/ (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64)))
#s(approx (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal 2 binary64)))

eval53.0ms (0.9%)

Memory
10.9MiB live, 105.0MiB allocated; 6ms collecting garbage
Compiler

Compiled 7 345 to 1 819 computations (75.2% saved)

prune38.0ms (0.7%)

Memory
-23.0MiB live, 71.6MiB allocated; 4ms collecting garbage
Pruning

30 alts after pruning (27 fresh and 3 done)

PrunedKeptTotal
New42018438
Fresh5914
Picked325
Done011
Total42830458
Accuracy
10.5%
Counts
458 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.4%
(/.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
4.9%
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (fma.f64 (*.f64 (*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
7.4%
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))))
4.1%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
7.4%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
▶8.9%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (/.f64 (-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
7.5%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
8.6%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
8.6%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
▶7.4%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))))
6.7%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
6.1%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
4.9%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
▶4.9%
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
7.5%
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
▶7.7%
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
4.9%
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
7.5%
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (/ (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (*.f64 (/.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 4 binary64))))
6.1%
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
7.4%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))))))
✓7.6%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
▶4.2%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
8.8%
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
7.4%
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
8.8%
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))))
5.1%
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))))))))
✓7.3%
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))))))
7.4%
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
✓4.1%
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))))))
7.4%
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
Compiler

Compiled 2 229 to 1 505 computations (32.5% saved)

series28.0ms (0.5%)

Memory
-3.0MiB live, 47.9MiB allocated; 3ms collecting garbage
Counts
58 → 105
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (/.f64 (-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))))
(*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
#s(literal 4 binary64)
(*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 (PI.f64) #s(literal 4 binary64))
(-.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (- 1 x)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(*.f64 (*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))))
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(*.f64 (PI.f64) (PI.f64))
(/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))) #s(literal 4 binary64))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))
(sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))
#s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)
(-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) x)
Outputs
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (/ (- (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (* (PI) (/ (PI) 4))) (- (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)))) #s(hole binary64 (/ (* (- (* 1/4 (pow (PI) 2)) (* 4 (* (asin (* (sqrt 1/2) (sqrt (- 1 x)))) (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))) (- (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))) (* 1/2 (PI)))) (- (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2)) (* 1/4 (pow (PI) 2))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (* (asin (* (sqrt 1/2) (sqrt (- 1 x)))) (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))))))))
#s(approx (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (* 4 (* (asin (* (sqrt 1/2) (sqrt (- 1 x)))) (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))))
#s(approx (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) #s(hole binary64 (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))))))
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) #s(hole binary64 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ x (sqrt 2))) (/ 1 (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* x (- (* -1/8 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* x (- (* x (- (* -1/16 (/ x (sqrt 2))) (* 1/8 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 1))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))))
#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 (sqrt (/ (- 1 x) 2))) 2) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2))))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 1/2))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx (/ (- (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (* (PI) (/ (PI) 4))) (- (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) #s(hole binary64 (/ (- (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2)) (* 1/4 (pow (PI) 2))) (- (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))) (* 1/2 (PI))))))
#s(approx (- (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (* (PI) (/ (PI) 4))) #s(hole binary64 (- (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2)) (* 1/4 (pow (PI) 2)))))
#s(approx (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) #s(hole binary64 (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2))))
#s(approx (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2)))
#s(approx (- (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) #s(hole binary64 (- (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))) (* 1/2 (PI)))))
#s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))))
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) #s(hole binary64 (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))))))
#s(approx (/ (- (* (PI) (/ (PI) 4)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (* (asin (* (sqrt 1/2) (sqrt (- 1 x)))) (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))))
#s(approx (- (* (PI) (/ (PI) 4)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (* (asin (* (sqrt 1/2) (sqrt (- 1 x)))) (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))))))))
#s(approx (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2)))))
#s(approx (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2))))
#s(approx (+ (/ (PI) 2) (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))))
#s(approx (- (/ (/ (* (PI) (PI)) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/ (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)))) #s(hole binary64 (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))) (* 4 (/ (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))))))
#s(approx (/ (/ (* (PI) (PI)) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) #s(hole binary64 (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))))))
#s(approx (/ (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) #s(hole binary64 (* 4 (/ (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))))))
#s(approx (* (- (/ 1/2 x) 1/2) x) #s(hole binary64 1/2))
#s(approx (* (- (/ 1/2 x) 1/2) x) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx (- (/ 1/2 x) 1/2) #s(hole binary64 (/ 1/2 x)))
#s(approx (- (/ 1/2 x) 1/2) #s(hole binary64 (/ (+ 1/2 (* -1/2 x)) x)))
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* (sqrt x) (/ (sqrt -1) (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (* (pow (sqrt -1) 3) (sqrt 2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (* (pow (sqrt -1) 3) (sqrt 2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (* (pow (sqrt -1) 5) (sqrt 2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* (sqrt x) (sqrt -1))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* -1/2 x)))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (* (- (/ 1/2 x) 1/2) x) #s(hole binary64 (* -1/2 x)))
#s(approx (* (- (/ 1/2 x) 1/2) x) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (- (/ 1/2 x) 1/2) #s(hole binary64 -1/2))
#s(approx (- (/ 1/2 x) 1/2) #s(hole binary64 (- (* 1/2 (/ 1 x)) 1/2)))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (/ (- (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (* (PI) (/ (PI) 4))) (- (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)))) #s(hole binary64 (/ (* (- (* 1/4 (pow (PI) 2)) (* 4 (* (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))) (- (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) (* 1/2 (PI)))) (- (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2)) (* 1/4 (pow (PI) 2))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (* (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x))))))))))
#s(approx (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (* 4 (* (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) #s(hole binary64 (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x))))))))
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) #s(hole binary64 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* (sqrt x) (/ (sqrt -1) (sqrt 2))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (sqrt -1)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* (asin (sqrt (/ (- 1 x) 2))) 2) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (/ (- (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (* (PI) (/ (PI) 4))) (- (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) #s(hole binary64 (/ (- (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2)) (* 1/4 (pow (PI) 2))) (- (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) (* 1/2 (PI))))))
#s(approx (- (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (* (PI) (/ (PI) 4))) #s(hole binary64 (- (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2)) (* 1/4 (pow (PI) 2)))))
#s(approx (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) #s(hole binary64 (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))))
#s(approx (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2)))
#s(approx (- (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) #s(hole binary64 (- (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) (* 1/2 (PI)))))
#s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) #s(hole binary64 (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x))))))))
#s(approx (/ (- (* (PI) (/ (PI) 4)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (* (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))))
#s(approx (- (* (PI) (/ (PI) 4)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (* (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x))))))))))
#s(approx (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x))))))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2)))))
#s(approx (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))))
#s(approx (+ (/ (PI) 2) (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (- (/ (/ (* (PI) (PI)) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/ (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)))) #s(hole binary64 (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))) (* 4 (/ (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))))))
#s(approx (/ (/ (* (PI) (PI)) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) #s(hole binary64 (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))))
#s(approx (/ (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) #s(hole binary64 (* 4 (/ (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))))
#s(approx (* (- (/ 1/2 x) 1/2) x) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
Calls

3 calls:

TimeVariablePointExpression
10.0ms
x
@-inf
((/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (/ (- (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (* (PI) (/ (PI) 4))) (- (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (* (/ (PI) 2) (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (asin (/ (sqrt (- 1 x)) (sqrt 2))) (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt (- 1 x)) (- 1 x) 1 x (sqrt 2) (* (asin (sqrt (/ (- 1 x) 2))) 2) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (/ (- (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (* (PI) (/ (PI) 4))) (- (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (- (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (* (PI) (/ (PI) 4))) (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4 (* (PI) (/ (PI) 4)) (/ (PI) 4) (- (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) (asin (/ (sqrt (- 1 x)) (sqrt 2))) (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt (- 1 x)) (/ (- (* (PI) (/ (PI) 4)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (- (* (PI) (/ (PI) 4)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (asin (/ (sqrt (- 1 x)) (sqrt 2))) (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt 1/2) 1/2 (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (+ (/ (PI) 2) (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2)) (- (/ (/ (* (PI) (PI)) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/ (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)))) (/ (/ (* (PI) (PI)) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/ (* (PI) (PI)) 4) (* (PI) (PI)) (/ (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (* (- (/ 1/2 x) 1/2) x) (- (/ 1/2 x) 1/2) (/ 1/2 x))
7.0ms
x
@inf
((/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (/ (- (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (* (PI) (/ (PI) 4))) (- (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (* (/ (PI) 2) (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (asin (/ (sqrt (- 1 x)) (sqrt 2))) (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt (- 1 x)) (- 1 x) 1 x (sqrt 2) (* (asin (sqrt (/ (- 1 x) 2))) 2) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (/ (- (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (* (PI) (/ (PI) 4))) (- (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (- (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (* (PI) (/ (PI) 4))) (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4 (* (PI) (/ (PI) 4)) (/ (PI) 4) (- (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) (asin (/ (sqrt (- 1 x)) (sqrt 2))) (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt (- 1 x)) (/ (- (* (PI) (/ (PI) 4)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (- (* (PI) (/ (PI) 4)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (asin (/ (sqrt (- 1 x)) (sqrt 2))) (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt 1/2) 1/2 (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (+ (/ (PI) 2) (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2)) (- (/ (/ (* (PI) (PI)) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/ (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)))) (/ (/ (* (PI) (PI)) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/ (* (PI) (PI)) 4) (* (PI) (PI)) (/ (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (* (- (/ 1/2 x) 1/2) x) (- (/ 1/2 x) 1/2) (/ 1/2 x))
7.0ms
x
@0
((/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (/ (- (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (* (PI) (/ (PI) 4))) (- (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (* (/ (PI) 2) (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (asin (/ (sqrt (- 1 x)) (sqrt 2))) (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt (- 1 x)) (- 1 x) 1 x (sqrt 2) (* (asin (sqrt (/ (- 1 x) 2))) 2) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (/ (- (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (* (PI) (/ (PI) 4))) (- (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (- (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (* (PI) (/ (PI) 4))) (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4 (* (PI) (/ (PI) 4)) (/ (PI) 4) (- (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) (asin (/ (sqrt (- 1 x)) (sqrt 2))) (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt (- 1 x)) (/ (- (* (PI) (/ (PI) 4)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (- (* (PI) (/ (PI) 4)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (asin (/ (sqrt (- 1 x)) (sqrt 2))) (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt 1/2) 1/2 (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (+ (/ (PI) 2) (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2)) (- (/ (/ (* (PI) (PI)) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/ (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)))) (/ (/ (* (PI) (PI)) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/ (* (PI) (PI)) 4) (* (PI) (PI)) (/ (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (* (- (/ 1/2 x) 1/2) x) (- (/ 1/2 x) 1/2) (/ 1/2 x))

rewrite91.0ms (1.6%)

Memory
25.0MiB live, 119.7MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04544518
05483498
023823403
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
163 → 362
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (/.f64 (-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
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#s(approx (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) #s(hole binary64 (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x))))))))
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) #s(hole binary64 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* (sqrt x) (/ (sqrt -1) (sqrt 2))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (sqrt -1)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* (asin (sqrt (/ (- 1 x) 2))) 2) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (/ (- (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (* (PI) (/ (PI) 4))) (- (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) #s(hole binary64 (/ (- (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2)) (* 1/4 (pow (PI) 2))) (- (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) (* 1/2 (PI))))))
#s(approx (- (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (* (PI) (/ (PI) 4))) #s(hole binary64 (- (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2)) (* 1/4 (pow (PI) 2)))))
#s(approx (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) #s(hole binary64 (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))))
#s(approx (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2)))
#s(approx (- (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) #s(hole binary64 (- (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) (* 1/2 (PI)))))
#s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) #s(hole binary64 (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x))))))))
#s(approx (/ (- (* (PI) (/ (PI) 4)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (* (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))))
#s(approx (- (* (PI) (/ (PI) 4)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (* (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x))))))))))
#s(approx (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x))))))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2)))))
#s(approx (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))))
#s(approx (+ (/ (PI) 2) (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (- (/ (/ (* (PI) (PI)) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/ (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)))) #s(hole binary64 (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))) (* 4 (/ (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))))))
#s(approx (/ (/ (* (PI) (PI)) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) #s(hole binary64 (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))))
#s(approx (/ (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) #s(hole binary64 (* 4 (/ (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))))
#s(approx (* (- (/ 1/2 x) 1/2) x) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
Outputs
(*.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (fma.f64 (/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)))) (neg.f64 (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(*.f64 (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (*.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)))) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64))))
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#s(approx (- (* (PI) (/ (PI) 4)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))))
#s(approx (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (*.f64 (*.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) (asin.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
#s(approx (asin (sqrt (/ (- 1 x) 2))) (asin.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (sqrt (- 1 x)) #s(literal 1 binary64))
#s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (- 1 x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (- 1 x)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (+.f64 (neg.f64 x) #s(literal 1 binary64)))
#s(approx x x)
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
#s(approx (asin (sqrt (/ (- 1 x) 2))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/16 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))
#s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
#s(approx (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (/.f64 (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 4 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
#s(approx (- (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (* (PI) (/ (PI) 4))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 4 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
#s(approx (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 4 binary64)))
#s(approx (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))
#s(approx (- (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))))
#s(approx (/ (- (* (PI) (/ (PI) 4)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))))
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
#s(approx (/ (- (* (PI) (/ (PI) 4)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (- (* (PI) (/ (PI) 4)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))))
#s(approx (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (/ (- (* (PI) (/ (PI) 4)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))) (fma.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (- (* (PI) (/ (PI) 4)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))))
#s(approx (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 4 binary64)))
#s(approx (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (fma.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (/ (- (* (PI) (/ (PI) 4)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
#s(approx (/ (/ (* (PI) (PI)) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (/ (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (* (- (/ 1/2 x) 1/2) x) #s(literal 1/2 binary64))
#s(approx (* (- (/ 1/2 x) 1/2) x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
#s(approx (- (/ 1/2 x) 1/2) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (- (/ 1/2 x) 1/2) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (/ 1/2 x) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x)))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64))) x))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64)))) x))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -5 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64))))) x))
#s(approx (sqrt (- 1 x)) (sqrt.f64 (neg.f64 x)))
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) x))
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) x))
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -5 binary64)) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) x))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x)))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))) x))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64))))) x))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))))) x))
#s(approx (/ (- 1 x) 2) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))
#s(approx (* (- (/ 1/2 x) 1/2) x) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* (- (/ 1/2 x) 1/2) x) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))
#s(approx (- (/ 1/2 x) 1/2) #s(literal -1/2 binary64))
#s(approx (- (/ 1/2 x) 1/2) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (PI) (/ (PI) 4)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) (asin.f64 (*.f64 (sqrt.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))) (/.f64 (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))))
#s(approx (- (* (PI) (/ (PI) 4)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) (asin.f64 (*.f64 (sqrt.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))))
#s(approx (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) (asin.f64 (*.f64 (sqrt.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 4 binary64)))
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) (*.f64 (asin.f64 (*.f64 (sqrt.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64)))
#s(approx (asin (sqrt (/ (- 1 x) 2))) (asin.f64 (*.f64 (sqrt.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64))))))))
#s(approx (sqrt (- 1 x)) (neg.f64 (sqrt.f64 (neg.f64 x))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal -1 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))))
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal 2 binary64)))
#s(approx (asin (sqrt (/ (- 1 x) 2))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64))))))))
#s(approx (/ (- 1 x) 2) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
#s(approx (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
#s(approx (- (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (* (PI) (/ (PI) 4))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
#s(approx (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64)))
#s(approx (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal 2 binary64)))
#s(approx (- (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))))
#s(approx (/ (- (* (PI) (/ (PI) 4)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) (*.f64 (asin.f64 (*.f64 (sqrt.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64)))
#s(approx (/ (- (* (PI) (/ (PI) 4)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) (asin.f64 (*.f64 (sqrt.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (- (* (PI) (/ (PI) 4)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) (asin.f64 (*.f64 (sqrt.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))))
#s(approx (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (/ (- (* (PI) (/ (PI) 4)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (sqrt.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (- (* (PI) (/ (PI) 4)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal 2 binary64)))))
#s(approx (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64)))
#s(approx (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (fma.f64 (asin.f64 (*.f64 (sqrt.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (/ (- (* (PI) (/ (PI) 4)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
#s(approx (/ (/ (* (PI) (PI)) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (/ (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (* (- (/ 1/2 x) 1/2) x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))

eval67.0ms (1.2%)

Memory
-20.3MiB live, 120.0MiB allocated; 11ms collecting garbage
Compiler

Compiled 9 428 to 2 215 computations (76.5% saved)

prune64.0ms (1.1%)

Memory
32.0MiB live, 127.4MiB allocated; 2ms collecting garbage
Pruning

43 alts after pruning (39 fresh and 4 done)

PrunedKeptTotal
New50822530
Fresh51722
Picked415
Done033
Total51743560
Accuracy
10.6%
Counts
560 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.4%
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (*.f64 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (/.f64 (-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
7.4%
(/.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
4.9%
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 2 binary64)))))) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
7.4%
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (*.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)))) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)))) (/.f64 (-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
7.5%
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (fma.f64 (/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
7.4%
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))))
4.1%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
7.4%
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))
7.4%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (/.f64 (-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
7.4%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
8.8%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (/.f64 (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 4 binary64)) (*.f64 (neg.f64 (PI.f64)) (/.f64 (PI.f64) #s(literal 4 binary64)))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
8.9%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))))))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
8.9%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64))) (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
8.8%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
7.5%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
8.6%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
8.6%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))) #s(literal 2 binary64)))) (/.f64 (-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
8.6%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
6.7%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))))
6.1%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
4.2%
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))))
4.9%
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
4.9%
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
7.4%
(/.f64 (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (/.f64 (-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
8.9%
(/.f64 #s(approx (- (* (PI) (/ (PI) 4)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))) (/.f64 (-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
7.4%
(/.f64 #s(approx (- (* (PI) (/ (PI) 4)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))))
7.5%
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
4.9%
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(approx (* (- (/ 1/2 x) 1/2) x) #s(literal 1/2 binary64)))))) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
6.1%
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
7.4%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))))))
✓7.6%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
✓4.2%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
7.7%
(-.f64 #s(approx (/ (/ (* (PI) (PI)) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
8.8%
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
7.4%
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
7.5%
#s(approx (/ (- (* (PI) (/ (PI) 4)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
8.9%
#s(approx (/ (- (* (PI) (/ (PI) 4)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))) (/.f64 (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 4 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))))
8.8%
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))))
5.1%
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))))))))
✓7.3%
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))))))
7.4%
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
✓4.1%
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))))))
7.4%
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
Compiler

Compiled 3 902 to 1 650 computations (57.7% saved)

regimes1.2s (21.1%)

Memory
-155.3MiB live, 218.0MiB allocated; 1.6s collecting garbage
Counts
66 → 1
Calls
Call 1
Inputs
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))))))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (fma.f64 (/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64))) (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
Calls

7 calls:

1.1s
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
17.0ms
x
16.0ms
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
14.0ms
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
13.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
8.9%1(-.f64 #s(literal 1 binary64) x)
8.9%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
8.9%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
8.9%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
8.9%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
8.9%1(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
8.9%1x
Compiler

Compiled 44 to 41 computations (6.8% saved)

regimes90.0ms (1.6%)

Memory
9.9MiB live, 106.0MiB allocated; 5ms collecting garbage
Counts
60 → 1
Calls
Call 1
Inputs
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
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(/.f64 (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (/.f64 (-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (/.f64 (-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (/.f64 (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 4 binary64)) (*.f64 (neg.f64 (PI.f64)) (/.f64 (PI.f64) #s(literal 4 binary64)))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #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 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (/.f64 (-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))) #s(literal 2 binary64)))) (/.f64 (-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #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 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (*.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)))) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)))) (/.f64 (-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
Outputs
(/.f64 #s(approx (- (* (PI) (/ (PI) 4)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))) (/.f64 (-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
Calls

7 calls:

15.0ms
x
14.0ms
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
11.0ms
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
11.0ms
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
11.0ms
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
8.9%1(-.f64 #s(literal 1 binary64) x)
8.9%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
8.9%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
8.9%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
8.9%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
8.9%1(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
8.9%1x
Compiler

Compiled 44 to 41 computations (6.8% saved)

regimes73.0ms (1.3%)

Memory
-15.2MiB live, 80.4MiB allocated; 8ms collecting garbage
Counts
45 → 1
Calls
Call 1
Inputs
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))))
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(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
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(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ (- (* (PI) (/ (PI) 4)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))) (/.f64 (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 4 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))))
Outputs
#s(approx (/ (- (* (PI) (/ (PI) 4)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))) (/.f64 (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 4 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))))
Calls

7 calls:

15.0ms
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
11.0ms
x
9.0ms
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
8.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
8.0ms
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
8.9%1(-.f64 #s(literal 1 binary64) x)
8.9%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
8.9%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
8.9%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
8.9%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
8.9%1(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
8.9%1x
Compiler

Compiled 44 to 41 computations (6.8% saved)

regimes65.0ms (1.1%)

Memory
28.3MiB live, 76.8MiB allocated; 1ms collecting garbage
Counts
44 → 1
Calls
Call 1
Inputs
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 #s(approx (- (* (PI) (/ (PI) 4)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.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 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #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 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(/.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #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 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #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 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #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 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.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 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #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 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #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 (asin.f64 (/.f64 (sqrt.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(approx (* (- (/ 1/2 x) 1/2) x) #s(literal 1/2 binary64)))))) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))))
#s(approx (/ (- (* (PI) (/ (PI) 4)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (/ (* (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (*.f64 (/.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 4 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 #s(approx (/ (/ (* (PI) (PI)) 4) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
Outputs
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
Calls

7 calls:

11.0ms
x
9.0ms
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
8.0ms
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
8.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
8.0ms
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
8.8%1(-.f64 #s(literal 1 binary64) x)
8.8%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
8.8%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
8.8%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
8.8%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
8.8%1(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
8.8%1x
Compiler

Compiled 44 to 41 computations (6.8% saved)

regimes36.0ms (0.6%)

Memory
0.0MiB live, 47.4MiB allocated; 1ms collecting garbage
Counts
23 → 1
Calls
Call 1
Inputs
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 #s(approx (- (* (PI) (/ (PI) 4)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.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 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #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 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
Outputs
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))))
Calls

7 calls:

7.0ms
x
5.0ms
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
5.0ms
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
4.0ms
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
4.0ms
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
8.8%1(-.f64 #s(literal 1 binary64) x)
8.8%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
8.8%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
8.8%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
8.8%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
8.8%1(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
8.8%1x
Compiler

Compiled 44 to 41 computations (6.8% saved)

regimes19.0ms (0.3%)

Memory
-22.9MiB live, 24.7MiB allocated; 0ms collecting garbage
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
Outputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
Calls

7 calls:

4.0ms
x
2.0ms
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
2.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
2.0ms
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
2.0ms
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
7.6%1(-.f64 #s(literal 1 binary64) x)
7.6%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
7.6%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
7.6%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
7.6%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
7.6%1(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
7.6%1x
Compiler

Compiled 44 to 41 computations (6.8% saved)

regimes17.0ms (0.3%)

Memory
23.5MiB live, 23.5MiB allocated; 0ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))))))
Outputs
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
Calls

7 calls:

3.0ms
x
2.0ms
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
2.0ms
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
2.0ms
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
2.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
7.4%1(-.f64 #s(literal 1 binary64) x)
7.4%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
7.4%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
7.4%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
7.4%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
7.4%1(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
7.4%1x
Compiler

Compiled 44 to 41 computations (6.8% saved)

regimes9.0ms (0.2%)

Memory
-34.4MiB live, 15.4MiB allocated; 1ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
Outputs
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
Calls

7 calls:

2.0ms
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
1.0ms
x
1.0ms
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
1.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
1.0ms
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
4.2%1(-.f64 #s(literal 1 binary64) x)
4.2%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
4.2%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
4.2%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
4.2%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
4.2%1(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
6.1%2x
Compiler

Compiled 44 to 41 computations (6.8% saved)

regimes7.0ms (0.1%)

Memory
13.4MiB live, 13.4MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
Outputs
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))))))
Calls

7 calls:

1.0ms
x
1.0ms
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
1.0ms
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
1.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
1.0ms
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
4.1%1(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
4.1%1(-.f64 #s(literal 1 binary64) x)
4.1%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
4.1%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
4.1%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
4.1%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
4.1%1x
Compiler

Compiled 44 to 41 computations (6.8% saved)

bsearch60.0ms (1.1%)

Memory
0.7MiB live, 48.3MiB allocated; 1ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
57.0ms
-7.898399472489316e-304
7.270164030335576e-306
Samples
51.0ms144×2valid
Compiler

Compiled 358 to 357 computations (0.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-asin: 31.0ms (66.3% of total)
adjust: 6.0ms (12.8% of total)
ival-sqrt: 4.0ms (8.6% of total)
ival-sub!: 2.0ms (4.3% of total)
ival-mult!: 2.0ms (4.3% of total)
ival-div!: 1.0ms (2.1% of total)
ival-pi: 0.0ms (0% of total)

derivations67.0ms (1.2%)

Memory
-1.3MiB live, 46.4MiB allocated; 1ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 324 to 122 computations (62.3% saved)

preprocess120.0ms (2.1%)

Memory
-19.5MiB live, 170.3MiB allocated; 31ms collecting garbage
Compiler

Compiled 337 to 133 computations (60.5% saved)

end0.0ms (0%)

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

Profiling

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