Ian Simplification

Time bar (total: 6.7s)

start0.0ms (0%)

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

analyze3.0ms (0%)

Memory
7.0MiB live, 7.0MiB allocated; 0ms 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)

sample4.4s (65.5%)

Memory
-68.7MiB live, 6 117.4MiB allocated; 2.3s collecting garbage
Samples
2.3s3 413×2valid
1.7s4 717×1valid
7.0ms126×0valid
0.0ms5×0invalid
Precisions
Click to see histograms. Total time spent on operations: 3.6s
ival-asin: 2.1s (58.6% of total)
ival-sqrt: 714.0ms (20% of total)
adjust: 337.0ms (9.4% of total)
ival-sub!: 162.0ms (4.5% of total)
ival-mult!: 149.0ms (4.2% of total)
ival-div!: 115.0ms (3.2% of total)
ival-pi: 0.0ms (0% of total)
Bogosity

preprocess83.0ms (1.2%)

Memory
-0.2MiB live, 45.8MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01942
16042
218739
382039
4578539
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶6.8%
(-.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)

series5.0ms (0.1%)

Memory
6.9MiB live, 6.9MiB 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 (- 1 x))))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (* 2 (asin (sqrt (* 1/2 (- 1 x)))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (sqrt (* 1/2 (- 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) (* -1/4 (/ x (sqrt 1/2))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (- (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (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 (* x (sqrt (/ -1/2 x)))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (sqrt (/ -1/2 x)) (* 1/4 (/ 1 (* (pow x 2) (sqrt (/ -1/2 x)))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (- (+ (sqrt (/ -1/2 x)) (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x))))) (/ 1/32 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3)))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (- (+ (sqrt (/ -1/2 x)) (+ (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x)))) (* 1/128 (/ 1 (* (pow x 6) (pow (sqrt (/ -1/2 x)) 5)))))) (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3))))))))
#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 (+ 1 (* -1 x)))))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (* 2 (asin (sqrt (* 1/2 (+ 1 (* -1 x))))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (sqrt (* 1/2 (+ 1 (* -1 x)))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (sqrt (/ -1/2 x))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1/2 x)) (* 1/4 (/ 1 (* (pow x 2) (sqrt (/ -1/2 x))))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1/2 x)) (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x))))) (/ 1/32 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1/2 x)) (+ (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x)))) (* 1/128 (/ 1 (* (pow x 6) (pow (sqrt (/ -1/2 x)) 5)))))) (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3)))))))))
#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)

rewrite153.0ms (2.3%)

Memory
12.8MiB live, 150.9MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0142643
0153598
1662595
05703540
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
40 → 159
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 (- 1 x))))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (* 2 (asin (sqrt (* 1/2 (- 1 x)))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (sqrt (* 1/2 (- 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) (* -1/4 (/ x (sqrt 1/2))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (- (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (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 (* x (sqrt (/ -1/2 x)))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (sqrt (/ -1/2 x)) (* 1/4 (/ 1 (* (pow x 2) (sqrt (/ -1/2 x)))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (- (+ (sqrt (/ -1/2 x)) (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x))))) (/ 1/32 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3)))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (- (+ (sqrt (/ -1/2 x)) (+ (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x)))) (* 1/128 (/ 1 (* (pow x 6) (pow (sqrt (/ -1/2 x)) 5)))))) (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3))))))))
#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 (+ 1 (* -1 x)))))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (* 2 (asin (sqrt (* 1/2 (+ 1 (* -1 x))))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (sqrt (* 1/2 (+ 1 (* -1 x)))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (sqrt (/ -1/2 x))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1/2 x)) (* 1/4 (/ 1 (* (pow x 2) (sqrt (/ -1/2 x))))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1/2 x)) (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x))))) (/ 1/32 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1/2 x)) (+ (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x)))) (* 1/128 (/ 1 (* (pow x 6) (pow (sqrt (/ -1/2 x)) 5)))))) (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3)))))))))
#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 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64)))) (neg.f64 (fma.f64 (asin.f64 (sqrt.f64 (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 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)))) (neg.f64 (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (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 (PI.f64) (PI.f64)) #s(literal 4 binary64)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (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 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (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 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
(fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 2 binary64) (*.f64 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (asin.f64 (sqrt.f64 (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 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (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 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (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 (PI.f64) (PI.f64)) #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (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 (PI.f64) (PI.f64)) #s(literal 4 binary64)))))
(-.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #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 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(neg.f64 (/.f64 (PI.f64) #s(literal -2 binary64)))
(neg.f64 (/.f64 (neg.f64 (PI.f64)) #s(literal 2 binary64)))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) #s(literal 2 binary64))
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(pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
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(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64))
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(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
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(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1/2 binary64))
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(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
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(+.f64 #s(literal 1 binary64) (neg.f64 x))
#s(literal 1 binary64)
x
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
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#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (-.f64 #s(literal 1 binary64) x))
#s(approx x x)
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#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))
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#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x)))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (neg.f64 x)))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (-.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (neg.f64 x)))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (-.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (/.f64 #s(literal 1/128 binary64) (exp.f64 (fma.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) #s(literal 5 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64))))))) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (neg.f64 x)))
#s(approx (/ (- 1 x) 2) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)))
#s(approx (- 1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))

eval19.0ms (0.3%)

Memory
31.7MiB live, 31.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 617 to 813 computations (49.7% saved)

prune84.0ms (1.2%)

Memory
-30.2MiB live, 15.0MiB allocated; 5ms collecting garbage
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1427149
Fresh000
Picked101
Done000
Total1437150
Accuracy
9.7%
Counts
150 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.8%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (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 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
6.8%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
▶8.2%
(-.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 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))
▶6.3%
(-.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 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
▶6.8%
(-.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
▶6.8%
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
Compiler

Compiled 268 to 214 computations (20.1% saved)

series12.0ms (0.2%)

Memory
15.9MiB live, 15.9MiB allocated; 0ms collecting garbage
Counts
31 → 72
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 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 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 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
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 #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(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(literal -2 binary64)
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(-.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))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(sqrt.f64 #s(literal 2 binary64))
(-.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
Outputs
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))))
#s(approx (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2))))) #s(hole binary64 (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))
#s(approx (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))) #s(hole binary64 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
#s(approx (acos (sqrt (+ (* -1/2 x) 1/2))) #s(hole binary64 (acos (sqrt (+ 1/2 (* -1/2 x))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2))))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (- (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 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 (* -1/2 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 (- 1 x))))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (* 2 (asin (sqrt (* 1/2 (- 1 x)))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (sqrt (* 1/2 (- 1 x))))))
#s(approx (+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* 1/2 (PI))) #s(hole binary64 (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))))
#s(approx (asin (sqrt (+ (* -1/2 x) 1/2))) #s(hole binary64 (asin (sqrt (+ 1/2 (* -1/2 x))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))))))
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) #s(hole binary64 (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))))
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) #s(hole binary64 (asin (/ (sqrt (- 1 x)) (sqrt 2)))))
#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 (* -1 x))))
#s(approx (- (acos (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) #s(hole binary64 (- (acos (sqrt (+ 1/2 (* -1/2 x)))) (asin (sqrt (+ 1/2 (* -1/2 x)))))))
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))))
#s(approx (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2))))) #s(hole binary64 (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))))
#s(approx (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))) #s(hole binary64 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))
#s(approx (acos (sqrt (+ (* -1/2 x) 1/2))) #s(hole binary64 (acos (sqrt (- 1/2 (* 1/2 x))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* x (sqrt (/ -1/2 x)))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* x (+ (sqrt (/ -1/2 x)) (* 1/4 (/ 1 (* (pow x 2) (sqrt (/ -1/2 x)))))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* x (- (+ (sqrt (/ -1/2 x)) (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x))))) (/ 1/32 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3)))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* x (- (+ (sqrt (/ -1/2 x)) (+ (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x)))) (* 1/128 (/ 1 (* (pow x 6) (pow (sqrt (/ -1/2 x)) 5)))))) (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3))))))))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (* -1/2 x)))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* 1/2 (PI))) #s(hole binary64 (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))))
#s(approx (asin (sqrt (+ (* -1/2 x) 1/2))) #s(hole binary64 (asin (sqrt (- 1/2 (* 1/2 x))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (/ (* x (sqrt (/ -1 x))) (sqrt 2))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* 1/2 (/ 1 (* (pow x 2) (* (sqrt 2) (sqrt (/ -1 x)))))) (/ (sqrt (/ -1 x)) (sqrt 2))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (- (+ (/ 1/2 (* (pow x 2) (* (sqrt 2) (sqrt (/ -1 x))))) (/ (sqrt (/ -1 x)) (sqrt 2))) (/ 1/8 (* (pow x 4) (* (sqrt 2) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (- (+ (/ 1/2 (* (pow x 2) (* (sqrt 2) (sqrt (/ -1 x))))) (+ (* 1/16 (/ 1 (* (pow x 6) (* (sqrt 2) (pow (sqrt (/ -1 x)) 5))))) (/ (sqrt (/ -1 x)) (sqrt 2)))) (* 1/8 (/ 1 (* (pow x 4) (* (sqrt 2) (pow (sqrt (/ -1 x)) 3)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (sqrt (/ -1 x)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (acos (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) #s(hole binary64 (- (acos (sqrt (- 1/2 (* 1/2 x)))) (asin (sqrt (- 1/2 (* 1/2 x)))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* -1 (* x (sqrt (/ -1/2 x))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1/2 x)) (* 1/4 (/ 1 (* (pow x 2) (sqrt (/ -1/2 x))))))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1/2 x)) (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x))))) (/ 1/32 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3))))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1/2 x)) (+ (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x)))) (* 1/128 (/ 1 (* (pow x 6) (pow (sqrt (/ -1/2 x)) 5)))))) (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3)))))))))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (sqrt (* 1/2 (+ 1 (* -1 x)))))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (* 2 (asin (sqrt (* 1/2 (+ 1 (* -1 x))))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (sqrt (* 1/2 (+ 1 (* -1 x)))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (/ (sqrt (+ 1 (* -1 x))) (sqrt 2)))))))
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) #s(hole binary64 (* 2 (asin (/ (sqrt (+ 1 (* -1 x))) (sqrt 2))))))
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) #s(hole binary64 (asin (/ (sqrt (+ 1 (* -1 x))) (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (/ (* x (sqrt (/ -1 x))) (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (/ 1 (* (pow x 2) (* (sqrt 2) (sqrt (/ -1 x)))))) (/ (sqrt (/ -1 x)) (sqrt 2)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (- (+ (/ 1/2 (* (pow x 2) (* (sqrt 2) (sqrt (/ -1 x))))) (/ (sqrt (/ -1 x)) (sqrt 2))) (/ 1/8 (* (pow x 4) (* (sqrt 2) (pow (sqrt (/ -1 x)) 3)))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (- (+ (/ 1/2 (* (pow x 2) (* (sqrt 2) (sqrt (/ -1 x))))) (+ (* 1/16 (/ 1 (* (pow x 6) (* (sqrt 2) (pow (sqrt (/ -1 x)) 5))))) (/ (sqrt (/ -1 x)) (sqrt 2)))) (* 1/8 (/ 1 (* (pow x 4) (* (sqrt 2) (pow (sqrt (/ -1 x)) 3))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (sqrt (/ -1 x))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
Calls

3 calls:

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

rewrite180.0ms (2.7%)

Memory
14.0MiB live, 150.3MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03341990
03761798
116481780
081601743
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
103 → 265
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 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 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 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
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 #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(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(literal -2 binary64)
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(-.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))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(sqrt.f64 #s(literal 2 binary64))
(-.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))))
#s(approx (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2))))) #s(hole binary64 (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))
#s(approx (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))) #s(hole binary64 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
#s(approx (acos (sqrt (+ (* -1/2 x) 1/2))) #s(hole binary64 (acos (sqrt (+ 1/2 (* -1/2 x))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2))))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (- (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 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 (* -1/2 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 (- 1 x))))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (* 2 (asin (sqrt (* 1/2 (- 1 x)))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (sqrt (* 1/2 (- 1 x))))))
#s(approx (+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* 1/2 (PI))) #s(hole binary64 (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))))
#s(approx (asin (sqrt (+ (* -1/2 x) 1/2))) #s(hole binary64 (asin (sqrt (+ 1/2 (* -1/2 x))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))))))
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) #s(hole binary64 (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))))
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) #s(hole binary64 (asin (/ (sqrt (- 1 x)) (sqrt 2)))))
#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 (* -1 x))))
#s(approx (- (acos (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) #s(hole binary64 (- (acos (sqrt (+ 1/2 (* -1/2 x)))) (asin (sqrt (+ 1/2 (* -1/2 x)))))))
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))))
#s(approx (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2))))) #s(hole binary64 (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))))
#s(approx (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))) #s(hole binary64 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))
#s(approx (acos (sqrt (+ (* -1/2 x) 1/2))) #s(hole binary64 (acos (sqrt (- 1/2 (* 1/2 x))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* x (sqrt (/ -1/2 x)))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* x (+ (sqrt (/ -1/2 x)) (* 1/4 (/ 1 (* (pow x 2) (sqrt (/ -1/2 x)))))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* x (- (+ (sqrt (/ -1/2 x)) (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x))))) (/ 1/32 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3)))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* x (- (+ (sqrt (/ -1/2 x)) (+ (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x)))) (* 1/128 (/ 1 (* (pow x 6) (pow (sqrt (/ -1/2 x)) 5)))))) (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3))))))))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (* -1/2 x)))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* 1/2 (PI))) #s(hole binary64 (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))))
#s(approx (asin (sqrt (+ (* -1/2 x) 1/2))) #s(hole binary64 (asin (sqrt (- 1/2 (* 1/2 x))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (/ (* x (sqrt (/ -1 x))) (sqrt 2))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* 1/2 (/ 1 (* (pow x 2) (* (sqrt 2) (sqrt (/ -1 x)))))) (/ (sqrt (/ -1 x)) (sqrt 2))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (- (+ (/ 1/2 (* (pow x 2) (* (sqrt 2) (sqrt (/ -1 x))))) (/ (sqrt (/ -1 x)) (sqrt 2))) (/ 1/8 (* (pow x 4) (* (sqrt 2) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (- (+ (/ 1/2 (* (pow x 2) (* (sqrt 2) (sqrt (/ -1 x))))) (+ (* 1/16 (/ 1 (* (pow x 6) (* (sqrt 2) (pow (sqrt (/ -1 x)) 5))))) (/ (sqrt (/ -1 x)) (sqrt 2)))) (* 1/8 (/ 1 (* (pow x 4) (* (sqrt 2) (pow (sqrt (/ -1 x)) 3)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (sqrt (/ -1 x)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (acos (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) #s(hole binary64 (- (acos (sqrt (- 1/2 (* 1/2 x)))) (asin (sqrt (- 1/2 (* 1/2 x)))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* -1 (* x (sqrt (/ -1/2 x))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1/2 x)) (* 1/4 (/ 1 (* (pow x 2) (sqrt (/ -1/2 x))))))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1/2 x)) (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x))))) (/ 1/32 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3))))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1/2 x)) (+ (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x)))) (* 1/128 (/ 1 (* (pow x 6) (pow (sqrt (/ -1/2 x)) 5)))))) (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3)))))))))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (sqrt (* 1/2 (+ 1 (* -1 x)))))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (* 2 (asin (sqrt (* 1/2 (+ 1 (* -1 x))))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (sqrt (* 1/2 (+ 1 (* -1 x)))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (/ (sqrt (+ 1 (* -1 x))) (sqrt 2)))))))
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) #s(hole binary64 (* 2 (asin (/ (sqrt (+ 1 (* -1 x))) (sqrt 2))))))
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) #s(hole binary64 (asin (/ (sqrt (+ 1 (* -1 x))) (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (/ (* x (sqrt (/ -1 x))) (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (/ 1 (* (pow x 2) (* (sqrt 2) (sqrt (/ -1 x)))))) (/ (sqrt (/ -1 x)) (sqrt 2)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (- (+ (/ 1/2 (* (pow x 2) (* (sqrt 2) (sqrt (/ -1 x))))) (/ (sqrt (/ -1 x)) (sqrt 2))) (/ 1/8 (* (pow x 4) (* (sqrt 2) (pow (sqrt (/ -1 x)) 3)))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (- (+ (/ 1/2 (* (pow x 2) (* (sqrt 2) (sqrt (/ -1 x))))) (+ (* 1/16 (/ 1 (* (pow x 6) (* (sqrt 2) (pow (sqrt (/ -1 x)) 5))))) (/ (sqrt (/ -1 x)) (sqrt 2)))) (* 1/8 (/ 1 (* (pow x 4) (* (sqrt 2) (pow (sqrt (/ -1 x)) 3))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (sqrt (/ -1 x))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
Outputs
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)))) (neg.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #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)))) (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 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 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)))))
(pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 #s(literal -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)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x)))) (/.f64 (*.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)
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(cosh.f64 (asinh.f64 #s(literal 1 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (neg.f64 (+.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))))
(/.f64 (-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (+.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(-.f64 (/.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (+.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (/.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (+.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))) (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))))
(-.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
#s(approx (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2))))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
#s(approx (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
#s(approx (acos (sqrt (+ (* -1/2 x) 1/2))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (fma.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 #s(literal 1/2 binary64) #s(literal 5/2 binary64))) #s(literal -1/128 binary64)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 2 binary64)))) x (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* -1/2 x) 1/2) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx x 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 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
#s(approx (asin (sqrt (/ (- 1 x) 2))) (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
#s(approx (+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* 1/2 (PI))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))) (asin.f64 (sqrt.f64 (fma.f64 x #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 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
#s(approx (asin (sqrt (/ (- 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 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)) #s(literal 1 binary64))
#s(approx (sqrt (- 1 x)) (fma.f64 x #s(literal -1/2 binary64) #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) (+.f64 (neg.f64 x) #s(literal 1 binary64)))
#s(approx (- (acos (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) (-.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
#s(approx (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2))))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
#s(approx (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
#s(approx (acos (sqrt (+ (* -1/2 x) 1/2))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) x))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) x))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (*.f64 (*.f64 x x) (*.f64 x x))))) x))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (-.f64 (+.f64 (/.f64 #s(literal 1/128 binary64) (exp.f64 (fma.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) #s(literal 5 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64))))) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (*.f64 (*.f64 x x) (*.f64 x x)))))) x))
#s(approx (+ (* -1/2 x) 1/2) (*.f64 x #s(literal -1/2 binary64)))
#s(approx (+ (* -1/2 x) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))
#s(approx (+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* 1/2 (PI))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 x (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))) (*.f64 x x))) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)))) x))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))) (*.f64 x x))) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 5/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))) (*.f64 x x)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x))))) x))
#s(approx (sqrt (- 1 x)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) x))
#s(approx (sqrt (- 1 x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) x))
#s(approx (sqrt (- 1 x)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 x x) (*.f64 x x))))) x))
#s(approx (sqrt (- 1 x)) (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 5 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 x x) (*.f64 x x)))))) x))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (- (acos (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) (-.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (*.f64 (neg.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (*.f64 (*.f64 x x) (*.f64 x x)))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (*.f64 (neg.f64 x) (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (-.f64 (+.f64 (/.f64 #s(literal 1/128 binary64) (exp.f64 (fma.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) #s(literal 5 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64))))) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (*.f64 (*.f64 x x) (*.f64 x x))))))))
#s(approx (+ (* -1/2 x) 1/2) (*.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 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
#s(approx (asin (sqrt (/ (- 1 x) 2))) (asin.f64 (sqrt.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 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 (+.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
#s(approx (asin (sqrt (/ (- 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (neg.f64 (*.f64 x (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))) (*.f64 x x))) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (neg.f64 (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))) (*.f64 x x))) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (neg.f64 x) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 5/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))) (*.f64 x x)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)))))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 x x) (*.f64 x x)))))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 5 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 x x) (*.f64 x x))))))))
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))

eval51.0ms (0.8%)

Memory
-10.5MiB live, 89.9MiB allocated; 17ms collecting garbage
Compiler

Compiled 6 659 to 1 548 computations (76.8% saved)

prune20.0ms (0.3%)

Memory
-13.6MiB live, 33.0MiB allocated; 2ms collecting garbage
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New34010350
Fresh022
Picked325
Done000
Total34314357
Accuracy
9.8%
Counts
357 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.8%
(/.f64 (-.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
▶6.8%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (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 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
▶6.8%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
6.9%
(/.f64 (-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (+.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
6.8%
(-.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
6.8%
(-.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
6.8%
(-.f64 (/.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (+.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (/.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (+.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
5.5%
(-.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)))))))
✓6.3%
(-.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))))))
▶3.9%
(-.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))))))
4.2%
(-.f64 (acos.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64)))))
▶8.2%
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
✓6.8%
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
▶4.2%
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
Compiler

Compiled 754 to 483 computations (35.9% saved)

series25.0ms (0.4%)

Memory
25.1MiB live, 25.1MiB allocated; 0ms collecting garbage
Counts
48 → 86
Calls
Call 1
Inputs
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
#s(literal 1/2 binary64)
(PI.f64)
(*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
#s(literal -2 binary64)
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #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 -2 binary64) (asin.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(asin.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64)))
#s(approx (+ (* -1/2 x) 1/2) #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))))))
(/.f64 (PI.f64) #s(literal 2 binary64))
#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))
#s(literal 1 binary64)
(sqrt.f64 #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (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) (PI.f64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64)))
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(*.f64 (PI.f64) (PI.f64))
#s(literal 4 binary64)
(*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
(fma.f64 (asin.f64 (sqrt.f64 (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 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (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 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)))
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
#s(literal 8 binary64)
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (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 (PI.f64) (PI.f64)) #s(literal 4 binary64)))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
Outputs
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))))
#s(approx (+ (* 1/2 (PI)) (* -2 (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))))) #s(hole binary64 (+ (* -2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))) (* 1/2 (PI)))))
#s(approx (* -2 (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2))))) #s(hole binary64 (* -2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))
#s(approx (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))) #s(hole binary64 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
#s(approx (acos (sqrt (+ (* x -1/2) 1/2))) #s(hole binary64 (acos (sqrt (+ 1/2 (* -1/2 x))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2))))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (- (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 1/2))))))))
#s(approx (+ (* x -1/2) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* x -1/2) 1/2) #s(hole binary64 (+ 1/2 (* -1/2 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 (- 1 x))))))))
#s(approx (+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* 1/2 (PI))) #s(hole binary64 (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))))
#s(approx (asin (sqrt (+ (* -1/2 x) 1/2))) #s(hole binary64 (asin (sqrt (+ 1/2 (* -1/2 x))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))))))
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) #s(hole binary64 (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))))
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) #s(hole binary64 (asin (/ (sqrt (- 1 x)) (sqrt 2)))))
#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) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
#s(approx (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))))
#s(approx (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4) #s(hole binary64 (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))))
#s(approx (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) #s(hole binary64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))
#s(approx (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
#s(approx (/ (- (/ (* (* (PI) (PI)) (PI)) 8) (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 8)) (+ (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/ (* (PI) (PI)) 4))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* 2 (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))))
#s(approx (- (/ (* (* (PI) (PI)) (PI)) 8) (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 8)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)))))
#s(approx (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 8) #s(hole binary64 (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))))
#s(approx (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) #s(hole binary64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)))
#s(approx (+ (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/ (* (PI) (PI)) 4)) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* 2 (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
#s(approx (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) #s(hole binary64 (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))))
#s(approx (+ (* 1/2 (PI)) (* -2 (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))))) #s(hole binary64 (+ (* -2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))) (* 1/2 (PI)))))
#s(approx (* -2 (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2))))) #s(hole binary64 (* -2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))))
#s(approx (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))) #s(hole binary64 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))
#s(approx (acos (sqrt (+ (* x -1/2) 1/2))) #s(hole binary64 (acos (sqrt (- 1/2 (* 1/2 x))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* x (sqrt (/ -1/2 x)))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* x (+ (sqrt (/ -1/2 x)) (* 1/4 (/ 1 (* (pow x 2) (sqrt (/ -1/2 x)))))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* x (- (+ (sqrt (/ -1/2 x)) (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x))))) (/ 1/32 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3)))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* x (- (+ (sqrt (/ -1/2 x)) (+ (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x)))) (* 1/128 (/ 1 (* (pow x 6) (pow (sqrt (/ -1/2 x)) 5)))))) (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3))))))))
#s(approx (+ (* x -1/2) 1/2) #s(hole binary64 (* -1/2 x)))
#s(approx (+ (* x -1/2) 1/2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* 1/2 (PI))) #s(hole binary64 (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))))
#s(approx (asin (sqrt (+ (* -1/2 x) 1/2))) #s(hole binary64 (asin (sqrt (- 1/2 (* 1/2 x))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (/ (* x (sqrt (/ -1 x))) (sqrt 2))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* 1/2 (/ 1 (* (pow x 2) (* (sqrt 2) (sqrt (/ -1 x)))))) (/ (sqrt (/ -1 x)) (sqrt 2))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (- (+ (/ 1/2 (* (pow x 2) (* (sqrt 2) (sqrt (/ -1 x))))) (/ (sqrt (/ -1 x)) (sqrt 2))) (/ 1/8 (* (pow x 4) (* (sqrt 2) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (- (+ (/ 1/2 (* (pow x 2) (* (sqrt 2) (sqrt (/ -1 x))))) (+ (* 1/16 (/ 1 (* (pow x 6) (* (sqrt 2) (pow (sqrt (/ -1 x)) 5))))) (/ (sqrt (/ -1 x)) (sqrt 2)))) (* 1/8 (/ 1 (* (pow x 4) (* (sqrt 2) (pow (sqrt (/ -1 x)) 3)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (sqrt (/ -1 x)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (/ (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))
#s(approx (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))))
#s(approx (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4) #s(hole binary64 (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))))
#s(approx (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) #s(hole binary64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))
#s(approx (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
#s(approx (/ (- (/ (* (* (PI) (PI)) (PI)) 8) (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 8)) (+ (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/ (* (PI) (PI)) 4))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* 2 (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))))))
#s(approx (- (/ (* (* (PI) (PI)) (PI)) 8) (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 8)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)))))
#s(approx (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 8) #s(hole binary64 (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))))
#s(approx (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) #s(hole binary64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)))
#s(approx (+ (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/ (* (PI) (PI)) 4)) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* 2 (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))))
#s(approx (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) #s(hole binary64 (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* -1 (* x (sqrt (/ -1/2 x))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1/2 x)) (* 1/4 (/ 1 (* (pow x 2) (sqrt (/ -1/2 x))))))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1/2 x)) (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x))))) (/ 1/32 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3))))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1/2 x)) (+ (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x)))) (* 1/128 (/ 1 (* (pow x 6) (pow (sqrt (/ -1/2 x)) 5)))))) (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3)))))))))
#s(approx (+ (* x -1/2) 1/2) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (sqrt (* 1/2 (+ 1 (* -1 x)))))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (/ (sqrt (+ 1 (* -1 x))) (sqrt 2)))))))
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) #s(hole binary64 (* 2 (asin (/ (sqrt (+ 1 (* -1 x))) (sqrt 2))))))
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) #s(hole binary64 (asin (/ (sqrt (+ 1 (* -1 x))) (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (/ (* x (sqrt (/ -1 x))) (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (/ 1 (* (pow x 2) (* (sqrt 2) (sqrt (/ -1 x)))))) (/ (sqrt (/ -1 x)) (sqrt 2)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (- (+ (/ 1/2 (* (pow x 2) (* (sqrt 2) (sqrt (/ -1 x))))) (/ (sqrt (/ -1 x)) (sqrt 2))) (/ 1/8 (* (pow x 4) (* (sqrt 2) (pow (sqrt (/ -1 x)) 3)))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (- (+ (/ 1/2 (* (pow x 2) (* (sqrt 2) (sqrt (/ -1 x))))) (+ (* 1/16 (/ 1 (* (pow x 6) (* (sqrt 2) (pow (sqrt (/ -1 x)) 5))))) (/ (sqrt (/ -1 x)) (sqrt 2)))) (* 1/8 (/ 1 (* (pow x 4) (* (sqrt 2) (pow (sqrt (/ -1 x)) 3))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (sqrt (/ -1 x))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))))
Calls

3 calls:

TimeVariablePointExpression
9.0ms
x
@inf
((- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (+ (* 1/2 (PI)) (* -2 (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))))) 1/2 (PI) (* -2 (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2))))) -2 (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))) (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2))) (sqrt (+ (* x -1/2) 1/2)) (+ (* x -1/2) 1/2) x -1/2 (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* 1/2 (PI))) (asin (sqrt (+ (* -1/2 x) 1/2))) (sqrt (+ (* -1/2 x) 1/2)) (+ (* -1/2 x) 1/2) (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) (/ (PI) 2) 2 (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) (asin (/ (sqrt (- 1 x)) (sqrt 2))) (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt (- 1 x)) 1 (sqrt 2) (/ (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (/ (* (PI) (PI)) 4) (* (PI) (PI)) 4 (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4) (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) (asin (sqrt (+ (* -1/2 x) 1/2))) (sqrt (+ (* -1/2 x) 1/2)) (+ (* -1/2 x) 1/2) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2)) (/ (- (/ (* (* (PI) (PI)) (PI)) 8) (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 8)) (+ (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/ (* (PI) (PI)) 4))) (- (/ (* (* (PI) (PI)) (PI)) 8) (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 8)) (/ (* (* (PI) (PI)) (PI)) 8) (* (* (PI) (PI)) (PI)) 8 (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 8) (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 3 (+ (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/ (* (PI) (PI)) 4)) (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2))
7.0ms
x
@-inf
((- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (+ (* 1/2 (PI)) (* -2 (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))))) 1/2 (PI) (* -2 (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2))))) -2 (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))) (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2))) (sqrt (+ (* x -1/2) 1/2)) (+ (* x -1/2) 1/2) x -1/2 (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* 1/2 (PI))) (asin (sqrt (+ (* -1/2 x) 1/2))) (sqrt (+ (* -1/2 x) 1/2)) (+ (* -1/2 x) 1/2) (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) (/ (PI) 2) 2 (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) (asin (/ (sqrt (- 1 x)) (sqrt 2))) (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt (- 1 x)) 1 (sqrt 2) (/ (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (/ (* (PI) (PI)) 4) (* (PI) (PI)) 4 (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4) (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) (asin (sqrt (+ (* -1/2 x) 1/2))) (sqrt (+ (* -1/2 x) 1/2)) (+ (* -1/2 x) 1/2) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2)) (/ (- (/ (* (* (PI) (PI)) (PI)) 8) (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 8)) (+ (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/ (* (PI) (PI)) 4))) (- (/ (* (* (PI) (PI)) (PI)) 8) (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 8)) (/ (* (* (PI) (PI)) (PI)) 8) (* (* (PI) (PI)) (PI)) 8 (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 8) (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 3 (+ (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/ (* (PI) (PI)) 4)) (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2))
6.0ms
x
@0
((- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (+ (* 1/2 (PI)) (* -2 (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))))) 1/2 (PI) (* -2 (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2))))) -2 (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))) (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2))) (sqrt (+ (* x -1/2) 1/2)) (+ (* x -1/2) 1/2) x -1/2 (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* 1/2 (PI))) (asin (sqrt (+ (* -1/2 x) 1/2))) (sqrt (+ (* -1/2 x) 1/2)) (+ (* -1/2 x) 1/2) (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) (/ (PI) 2) 2 (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) (asin (/ (sqrt (- 1 x)) (sqrt 2))) (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt (- 1 x)) 1 (sqrt 2) (/ (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (/ (* (PI) (PI)) 4) (* (PI) (PI)) 4 (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4) (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) (asin (sqrt (+ (* -1/2 x) 1/2))) (sqrt (+ (* -1/2 x) 1/2)) (+ (* -1/2 x) 1/2) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2)) (/ (- (/ (* (* (PI) (PI)) (PI)) 8) (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 8)) (+ (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/ (* (PI) (PI)) 4))) (- (/ (* (* (PI) (PI)) (PI)) 8) (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 8)) (/ (* (* (PI) (PI)) (PI)) 8) (* (* (PI) (PI)) (PI)) 8 (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 8) (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 3 (+ (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/ (* (PI) (PI)) 4)) (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2))

rewrite218.0ms (3.2%)

Memory
-1.7MiB live, 225.5MiB allocated; 44ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04112966
04812701
121312593
094232534
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
134 → 460
Calls
Call 1
Inputs
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
#s(literal 1/2 binary64)
(PI.f64)
(*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
#s(literal -2 binary64)
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #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 -2 binary64) (asin.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(asin.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64)))
#s(approx (+ (* -1/2 x) 1/2) #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))))))
(/.f64 (PI.f64) #s(literal 2 binary64))
#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))
#s(literal 1 binary64)
(sqrt.f64 #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (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) (PI.f64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64)))
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(*.f64 (PI.f64) (PI.f64))
#s(literal 4 binary64)
(*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
(fma.f64 (asin.f64 (sqrt.f64 (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 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (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 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)))
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
#s(literal 8 binary64)
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (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 (PI.f64) (PI.f64)) #s(literal 4 binary64)))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))))
#s(approx (+ (* 1/2 (PI)) (* -2 (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))))) #s(hole binary64 (+ (* -2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))) (* 1/2 (PI)))))
#s(approx (* -2 (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2))))) #s(hole binary64 (* -2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))
#s(approx (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))) #s(hole binary64 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
#s(approx (acos (sqrt (+ (* x -1/2) 1/2))) #s(hole binary64 (acos (sqrt (+ 1/2 (* -1/2 x))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2))))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (- (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 1/2))))))))
#s(approx (+ (* x -1/2) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* x -1/2) 1/2) #s(hole binary64 (+ 1/2 (* -1/2 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 (- 1 x))))))))
#s(approx (+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* 1/2 (PI))) #s(hole binary64 (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))))
#s(approx (asin (sqrt (+ (* -1/2 x) 1/2))) #s(hole binary64 (asin (sqrt (+ 1/2 (* -1/2 x))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))))))
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) #s(hole binary64 (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))))
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) #s(hole binary64 (asin (/ (sqrt (- 1 x)) (sqrt 2)))))
#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) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
#s(approx (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))))
#s(approx (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4) #s(hole binary64 (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))))
#s(approx (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) #s(hole binary64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))
#s(approx (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
#s(approx (/ (- (/ (* (* (PI) (PI)) (PI)) 8) (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 8)) (+ (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/ (* (PI) (PI)) 4))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* 2 (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))))
#s(approx (- (/ (* (* (PI) (PI)) (PI)) 8) (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 8)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)))))
#s(approx (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 8) #s(hole binary64 (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))))
#s(approx (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) #s(hole binary64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)))
#s(approx (+ (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/ (* (PI) (PI)) 4)) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* 2 (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
#s(approx (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) #s(hole binary64 (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))))
#s(approx (+ (* 1/2 (PI)) (* -2 (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))))) #s(hole binary64 (+ (* -2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))) (* 1/2 (PI)))))
#s(approx (* -2 (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2))))) #s(hole binary64 (* -2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))))
#s(approx (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))) #s(hole binary64 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))
#s(approx (acos (sqrt (+ (* x -1/2) 1/2))) #s(hole binary64 (acos (sqrt (- 1/2 (* 1/2 x))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* x (sqrt (/ -1/2 x)))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* x (+ (sqrt (/ -1/2 x)) (* 1/4 (/ 1 (* (pow x 2) (sqrt (/ -1/2 x)))))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* x (- (+ (sqrt (/ -1/2 x)) (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x))))) (/ 1/32 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3)))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* x (- (+ (sqrt (/ -1/2 x)) (+ (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x)))) (* 1/128 (/ 1 (* (pow x 6) (pow (sqrt (/ -1/2 x)) 5)))))) (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3))))))))
#s(approx (+ (* x -1/2) 1/2) #s(hole binary64 (* -1/2 x)))
#s(approx (+ (* x -1/2) 1/2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* 1/2 (PI))) #s(hole binary64 (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))))
#s(approx (asin (sqrt (+ (* -1/2 x) 1/2))) #s(hole binary64 (asin (sqrt (- 1/2 (* 1/2 x))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (/ (* x (sqrt (/ -1 x))) (sqrt 2))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* 1/2 (/ 1 (* (pow x 2) (* (sqrt 2) (sqrt (/ -1 x)))))) (/ (sqrt (/ -1 x)) (sqrt 2))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (- (+ (/ 1/2 (* (pow x 2) (* (sqrt 2) (sqrt (/ -1 x))))) (/ (sqrt (/ -1 x)) (sqrt 2))) (/ 1/8 (* (pow x 4) (* (sqrt 2) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (- (+ (/ 1/2 (* (pow x 2) (* (sqrt 2) (sqrt (/ -1 x))))) (+ (* 1/16 (/ 1 (* (pow x 6) (* (sqrt 2) (pow (sqrt (/ -1 x)) 5))))) (/ (sqrt (/ -1 x)) (sqrt 2)))) (* 1/8 (/ 1 (* (pow x 4) (* (sqrt 2) (pow (sqrt (/ -1 x)) 3)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (sqrt (/ -1 x)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (/ (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))
#s(approx (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))))
#s(approx (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4) #s(hole binary64 (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))))
#s(approx (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) #s(hole binary64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))
#s(approx (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
#s(approx (/ (- (/ (* (* (PI) (PI)) (PI)) 8) (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 8)) (+ (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/ (* (PI) (PI)) 4))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* 2 (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))))))
#s(approx (- (/ (* (* (PI) (PI)) (PI)) 8) (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 8)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)))))
#s(approx (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 8) #s(hole binary64 (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))))
#s(approx (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) #s(hole binary64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)))
#s(approx (+ (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/ (* (PI) (PI)) 4)) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* 2 (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))))
#s(approx (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) #s(hole binary64 (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* -1 (* x (sqrt (/ -1/2 x))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1/2 x)) (* 1/4 (/ 1 (* (pow x 2) (sqrt (/ -1/2 x))))))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1/2 x)) (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x))))) (/ 1/32 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3))))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1/2 x)) (+ (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x)))) (* 1/128 (/ 1 (* (pow x 6) (pow (sqrt (/ -1/2 x)) 5)))))) (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3)))))))))
#s(approx (+ (* x -1/2) 1/2) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (sqrt (* 1/2 (+ 1 (* -1 x)))))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (/ (sqrt (+ 1 (* -1 x))) (sqrt 2)))))))
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) #s(hole binary64 (* 2 (asin (/ (sqrt (+ 1 (* -1 x))) (sqrt 2))))))
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) #s(hole binary64 (asin (/ (sqrt (+ 1 (* -1 x))) (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (/ (* x (sqrt (/ -1 x))) (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (/ 1 (* (pow x 2) (* (sqrt 2) (sqrt (/ -1 x)))))) (/ (sqrt (/ -1 x)) (sqrt 2)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (- (+ (/ 1/2 (* (pow x 2) (* (sqrt 2) (sqrt (/ -1 x))))) (/ (sqrt (/ -1 x)) (sqrt 2))) (/ 1/8 (* (pow x 4) (* (sqrt 2) (pow (sqrt (/ -1 x)) 3)))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (- (+ (/ 1/2 (* (pow x 2) (* (sqrt 2) (sqrt (/ -1 x))))) (+ (* 1/16 (/ 1 (* (pow x 6) (* (sqrt 2) (pow (sqrt (/ -1 x)) 5))))) (/ (sqrt (/ -1 x)) (sqrt 2)))) (* 1/8 (/ 1 (* (pow x 4) (* (sqrt 2) (pow (sqrt (/ -1 x)) 3))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (sqrt (/ -1 x))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))))
Outputs
#s(approx (/ (- (/ (* (* (PI) (PI)) (PI)) 8) (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 8)) (+ (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/ (* (PI) (PI)) 4))) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) (*.f64 #s(literal -1/2 binary64) (PI.f64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (neg.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal 8 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))) (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))))
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(PI.f64)
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(/.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (*.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))))) (*.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 4 binary64)) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) #s(literal 4 binary64)) (*.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))))
(+.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (- (/ (* (* (PI) (PI)) (PI)) 8) (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 8)) (+ (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/ (* (PI) (PI)) 4))) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (+ (* 1/2 (PI)) (* -2 (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))))) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (* -2 (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2))))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
#s(approx (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
#s(approx (acos (sqrt (+ (* x -1/2) 1/2))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (fma.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 #s(literal 1/2 binary64) #s(literal 5/2 binary64))) #s(literal -1/128 binary64)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 2 binary64)))) x (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* x -1/2) 1/2) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx x 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 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))))
#s(approx (+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* 1/2 (PI))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (asin (sqrt (+ (* -1/2 x) 1/2))) (asin.f64 (sqrt.f64 (fma.f64 x #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 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))))
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 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)) #s(literal 1 binary64))
#s(approx (sqrt (- 1 x)) (fma.f64 x #s(literal -1/2 binary64) #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) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 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 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
#s(approx (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 4 binary64)))
#s(approx (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
#s(approx (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (/ (- (/ (* (* (PI) (PI)) (PI)) 8) (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 8)) (+ (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/ (* (PI) (PI)) 4))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64))) (fma.f64 (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))))
#s(approx (- (/ (* (* (PI) (PI)) (PI)) 8) (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 8)) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64))))
#s(approx (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)))
#s(approx (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
#s(approx (+ (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/ (* (PI) (PI)) 4)) (fma.f64 (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
#s(approx (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
#s(approx (/ (- (/ (* (* (PI) (PI)) (PI)) 8) (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 8)) (+ (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/ (* (PI) (PI)) 4))) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (+ (* 1/2 (PI)) (* -2 (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))))) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (* -2 (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2))))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
#s(approx (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
#s(approx (acos (sqrt (+ (* x -1/2) 1/2))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) x))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) x))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (*.f64 (*.f64 x x) (*.f64 x x))))) x))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (-.f64 (+.f64 (/.f64 #s(literal 1/128 binary64) (exp.f64 (fma.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) #s(literal 5 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64))))) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (*.f64 (*.f64 x x) (*.f64 x x)))))) x))
#s(approx (+ (* x -1/2) 1/2) (*.f64 x #s(literal -1/2 binary64)))
#s(approx (+ (* x -1/2) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))
#s(approx (+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* 1/2 (PI))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (asin (sqrt (+ (* -1/2 x) 1/2))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 x (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))) (*.f64 x x))) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)))) x))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))) (*.f64 x x))) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 5/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))) (*.f64 x x)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x))))) x))
#s(approx (sqrt (- 1 x)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) x))
#s(approx (sqrt (- 1 x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) x))
#s(approx (sqrt (- 1 x)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 x x) (*.f64 x x))))) x))
#s(approx (sqrt (- 1 x)) (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 5 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 x x) (*.f64 x x)))))) x))
#s(approx (/ (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 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 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
#s(approx (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 4 binary64)))
#s(approx (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
#s(approx (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (/ (- (/ (* (* (PI) (PI)) (PI)) 8) (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 8)) (+ (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/ (* (PI) (PI)) 4))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64))) (fma.f64 (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))))
#s(approx (- (/ (* (* (PI) (PI)) (PI)) 8) (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 8)) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64))))
#s(approx (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)))
#s(approx (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
#s(approx (+ (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/ (* (PI) (PI)) 4)) (fma.f64 (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
#s(approx (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.f64 (neg.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (*.f64 (*.f64 x x) (*.f64 x x)))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.f64 (neg.f64 x) (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (-.f64 (+.f64 (/.f64 #s(literal 1/128 binary64) (exp.f64 (fma.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) #s(literal 5 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64))))) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (*.f64 (*.f64 x x) (*.f64 x x))))))))
#s(approx (+ (* x -1/2) 1/2) (*.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 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 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 (+.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))))))
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) (asin.f64 (sqrt.f64 (/.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (neg.f64 (*.f64 x (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))) (*.f64 x x))) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (neg.f64 (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))) (*.f64 x x))) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (neg.f64 x) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 5/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))) (*.f64 x x)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)))))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 x x) (*.f64 x x)))))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 5 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 x x) (*.f64 x x))))))))

eval68.0ms (1%)

Memory
-4.7MiB live, 94.3MiB allocated; 16ms collecting garbage
Compiler

Compiled 10 361 to 2 226 computations (78.5% saved)

prune35.0ms (0.5%)

Memory
19.4MiB live, 63.5MiB allocated; 4ms collecting garbage
Pruning

24 alts after pruning (19 fresh and 5 done)

PrunedKeptTotal
New41615431
Fresh347
Picked235
Done022
Total42124445
Accuracy
10.0%
Counts
445 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.8%
(/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64)) (*.f64 (pow.f64 (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (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 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
6.8%
(/.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
6.9%
(/.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 4 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 4 binary64))) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 4 binary64)))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
6.8%
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) #s(literal 64 binary64)) (pow.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (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 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
6.9%
(/.f64 (-.f64 (/.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 8 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (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 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
▶6.8%
(/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 3 binary64)) (PI.f64)) #s(literal 8 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (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 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
▶6.8%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (*.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 8 binary64))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (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 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
6.8%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (*.f64 (exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64))) #s(literal 8 binary64))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (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 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
6.8%
(/.f64 (-.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))) (PI.f64)) #s(literal 8 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (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 (cbrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))) #s(literal 4 binary64))))
6.9%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64))) (-.f64 (/.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
6.8%
(/.f64 (-.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))) #s(literal 8 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (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 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
6.8%
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))) (*.f64 (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)))) (*.f64 (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))))
▶6.9%
(/.f64 (-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (+.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
6.8%
(-.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
6.8%
(-.f64 (/.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (+.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (/.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (+.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
✓6.3%
(-.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))))))
✓3.9%
(-.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))))))
▶4.2%
(-.f64 (acos.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64)))))
6.8%
#s(approx (/ (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 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 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
✓8.2%
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
5.5%
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64))))))))
▶8.3%
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))
✓6.8%
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
✓4.2%
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
Compiler

Compiled 1 697 to 1 036 computations (39% saved)

series130.0ms (1.9%)

Memory
-8.7MiB live, 136.5MiB allocated; 16ms collecting garbage
Counts
56 → 72
Calls
Call 1
Inputs
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(PI.f64)
(pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
x
#s(literal -1/2 binary64)
#s(literal 2 binary64)
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(-.f64 (acos.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64)))))
(acos.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64)))
#s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64))
(asin.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (+.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(+.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (*.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 8 binary64))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (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 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (*.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 8 binary64)))
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(*.f64 (PI.f64) (PI.f64))
#s(literal 8 binary64)
(*.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 8 binary64))
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
(fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (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 (PI.f64) (PI.f64)) #s(literal 4 binary64)))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
(fma.f64 (asin.f64 (sqrt.f64 (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 (PI.f64) #s(literal 2 binary64))
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 3 binary64)) (PI.f64)) #s(literal 8 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (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 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
(-.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 3 binary64)) (PI.f64)) #s(literal 8 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 3 binary64)) (PI.f64)) #s(literal 8 binary64))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 3 binary64)) (PI.f64))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 3 binary64))
(cbrt.f64 (*.f64 (PI.f64) (PI.f64)))
#s(literal 3 binary64)
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))
Outputs
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))))
#s(approx (/ (- (* (* 1/2 (PI)) (* 1/2 (PI))) (pow (* (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))) 2) 2)) (+ (* 1/2 (PI)) (* (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2))) (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))))
#s(approx (- (* (* 1/2 (PI)) (* 1/2 (PI))) (pow (* (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))) 2) 2)) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)))))
#s(approx (pow (* (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))) 2) 2) #s(hole binary64 (* 4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2))))
#s(approx (* (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))) 2) #s(hole binary64 (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))
#s(approx (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))) #s(hole binary64 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
#s(approx (acos (sqrt (+ (* x -1/2) 1/2))) #s(hole binary64 (acos (sqrt (+ 1/2 (* -1/2 x))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2))))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (- (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 1/2))))))))
#s(approx (+ (* x -1/2) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* x -1/2) 1/2) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* 1/2 (PI)) (* (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))))
#s(approx (- (acos (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) #s(hole binary64 (- (acos (sqrt (+ 1/2 (* -1/2 x)))) (asin (sqrt (+ 1/2 (* -1/2 x)))))))
#s(approx (asin (sqrt (+ (* -1/2 x) 1/2))) #s(hole binary64 (asin (sqrt (+ 1/2 (* -1/2 x))))))
#s(approx (/ (- (* (acos (sqrt (+ (* x -1/2) 1/2))) (acos (sqrt (+ (* x -1/2) 1/2)))) (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) (+ (acos (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) #s(hole binary64 (/ (- (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (+ (acos (sqrt (+ 1/2 (* -1/2 x)))) (asin (sqrt (+ 1/2 (* -1/2 x))))))))
#s(approx (- (* (acos (sqrt (+ (* x -1/2) 1/2))) (acos (sqrt (+ (* x -1/2) 1/2)))) (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) #s(hole binary64 (- (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))))
#s(approx (* (acos (sqrt (+ (* x -1/2) 1/2))) (acos (sqrt (+ (* x -1/2) 1/2)))) #s(hole binary64 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))
#s(approx (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2)))) #s(hole binary64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))
#s(approx (+ (acos (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2)))) #s(hole binary64 (+ (acos (sqrt (+ 1/2 (* -1/2 x)))) (asin (sqrt (+ 1/2 (* -1/2 x)))))))
#s(approx (/ (- (/ (* (* (PI) (PI)) (PI)) 8) (* (pow (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3/2) 2) 8)) (+ (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/ (* (PI) (PI)) 4))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (* 8 (pow (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3/2) 2))) (+ (* 1/4 (pow (PI) 2)) (* 2 (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))))
#s(approx (- (/ (* (* (PI) (PI)) (PI)) 8) (* (pow (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3/2) 2) 8)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (* 8 (pow (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3/2) 2)))))
#s(approx (* (pow (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3/2) 2) 8) #s(hole binary64 (* 8 (pow (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3/2) 2))))
#s(approx (pow (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3/2) 2) #s(hole binary64 (pow (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3/2) 2)))
#s(approx (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3/2) #s(hole binary64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3/2)))
#s(approx (+ (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/ (* (PI) (PI)) 4)) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* 2 (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
#s(approx (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) #s(hole binary64 (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))
#s(approx (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
#s(approx (/ (- (/ (* (pow (cbrt (* (PI) (PI))) 3) (PI)) 8) (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 8)) (+ (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/ (* (PI) (PI)) 4))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* 2 (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))))
#s(approx (- (/ (* (pow (cbrt (* (PI) (PI))) 3) (PI)) 8) (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 8)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)))))
#s(approx (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 8) #s(hole binary64 (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))))
#s(approx (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) #s(hole binary64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)))
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))))
#s(approx (/ (- (* (* 1/2 (PI)) (* 1/2 (PI))) (pow (* (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))) 2) 2)) (+ (* 1/2 (PI)) (* (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2))) (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))))))
#s(approx (- (* (* 1/2 (PI)) (* 1/2 (PI))) (pow (* (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))) 2) 2)) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2)))))
#s(approx (pow (* (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))) 2) 2) #s(hole binary64 (* 4 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2))))
#s(approx (* (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))) 2) #s(hole binary64 (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))))
#s(approx (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))) #s(hole binary64 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))
#s(approx (acos (sqrt (+ (* x -1/2) 1/2))) #s(hole binary64 (acos (sqrt (- 1/2 (* 1/2 x))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* x (sqrt (/ -1/2 x)))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* x (+ (sqrt (/ -1/2 x)) (* 1/4 (/ 1 (* (pow x 2) (sqrt (/ -1/2 x)))))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* x (- (+ (sqrt (/ -1/2 x)) (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x))))) (/ 1/32 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3)))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* x (- (+ (sqrt (/ -1/2 x)) (+ (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x)))) (* 1/128 (/ 1 (* (pow x 6) (pow (sqrt (/ -1/2 x)) 5)))))) (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3))))))))
#s(approx (+ (* x -1/2) 1/2) #s(hole binary64 (* -1/2 x)))
#s(approx (+ (* x -1/2) 1/2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (+ (* 1/2 (PI)) (* (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))))
#s(approx (- (acos (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) #s(hole binary64 (- (acos (sqrt (- 1/2 (* 1/2 x)))) (asin (sqrt (- 1/2 (* 1/2 x)))))))
#s(approx (asin (sqrt (+ (* -1/2 x) 1/2))) #s(hole binary64 (asin (sqrt (- 1/2 (* 1/2 x))))))
#s(approx (/ (- (* (acos (sqrt (+ (* x -1/2) 1/2))) (acos (sqrt (+ (* x -1/2) 1/2)))) (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) (+ (acos (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) #s(hole binary64 (/ (- (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (+ (acos (sqrt (- 1/2 (* 1/2 x)))) (asin (sqrt (- 1/2 (* 1/2 x))))))))
#s(approx (- (* (acos (sqrt (+ (* x -1/2) 1/2))) (acos (sqrt (+ (* x -1/2) 1/2)))) (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) #s(hole binary64 (- (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))))
#s(approx (* (acos (sqrt (+ (* x -1/2) 1/2))) (acos (sqrt (+ (* x -1/2) 1/2)))) #s(hole binary64 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))
#s(approx (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2)))) #s(hole binary64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))
#s(approx (+ (acos (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2)))) #s(hole binary64 (+ (acos (sqrt (- 1/2 (* 1/2 x)))) (asin (sqrt (- 1/2 (* 1/2 x)))))))
#s(approx (/ (- (/ (* (* (PI) (PI)) (PI)) 8) (* (pow (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3/2) 2) 8)) (+ (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/ (* (PI) (PI)) 4))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (* 8 (pow (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3/2) 2))) (+ (* 1/4 (pow (PI) 2)) (* 2 (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))))))
#s(approx (- (/ (* (* (PI) (PI)) (PI)) 8) (* (pow (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3/2) 2) 8)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (* 8 (pow (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3/2) 2)))))
#s(approx (* (pow (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3/2) 2) 8) #s(hole binary64 (* 8 (pow (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3/2) 2))))
#s(approx (pow (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3/2) 2) #s(hole binary64 (pow (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3/2) 2)))
#s(approx (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3/2) #s(hole binary64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3/2)))
#s(approx (+ (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/ (* (PI) (PI)) 4)) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* 2 (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))))
#s(approx (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) #s(hole binary64 (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))
#s(approx (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
#s(approx (/ (- (/ (* (pow (cbrt (* (PI) (PI))) 3) (PI)) 8) (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 8)) (+ (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/ (* (PI) (PI)) 4))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* 2 (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))))))
#s(approx (- (/ (* (pow (cbrt (* (PI) (PI))) 3) (PI)) 8) (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 8)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)))))
#s(approx (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 8) #s(hole binary64 (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))))
#s(approx (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) #s(hole binary64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* -1 (* x (sqrt (/ -1/2 x))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1/2 x)) (* 1/4 (/ 1 (* (pow x 2) (sqrt (/ -1/2 x))))))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1/2 x)) (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x))))) (/ 1/32 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3))))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1/2 x)) (+ (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x)))) (* 1/128 (/ 1 (* (pow x 6) (pow (sqrt (/ -1/2 x)) 5)))))) (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3)))))))))
#s(approx (+ (* x -1/2) 1/2) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
Calls

3 calls:

TimeVariablePointExpression
56.0ms
x
@-inf
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48.0ms
x
@0
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23.0ms
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rewrite221.0ms (3.3%)

Memory
28.7MiB live, 333.3MiB allocated; 59ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03193048
04122502
117032192
084482153
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
128 → 1 036
Calls
Call 1
Inputs
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#s(literal 4 binary64)
(/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 3 binary64)) (PI.f64)) #s(literal 8 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (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 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
(-.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 3 binary64)) (PI.f64)) #s(literal 8 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 3 binary64)) (PI.f64)) #s(literal 8 binary64))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 3 binary64)) (PI.f64))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 3 binary64))
(cbrt.f64 (*.f64 (PI.f64) (PI.f64)))
#s(literal 3 binary64)
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))))
#s(approx (/ (- (* (* 1/2 (PI)) (* 1/2 (PI))) (pow (* (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))) 2) 2)) (+ (* 1/2 (PI)) (* (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2))) (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))))
#s(approx (- (* (* 1/2 (PI)) (* 1/2 (PI))) (pow (* (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))) 2) 2)) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)))))
#s(approx (pow (* (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))) 2) 2) #s(hole binary64 (* 4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2))))
#s(approx (* (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))) 2) #s(hole binary64 (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))
#s(approx (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))) #s(hole binary64 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
#s(approx (acos (sqrt (+ (* x -1/2) 1/2))) #s(hole binary64 (acos (sqrt (+ 1/2 (* -1/2 x))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2))))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (- (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 1/2))))))))
#s(approx (+ (* x -1/2) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* x -1/2) 1/2) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* 1/2 (PI)) (* (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))))
#s(approx (- (acos (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) #s(hole binary64 (- (acos (sqrt (+ 1/2 (* -1/2 x)))) (asin (sqrt (+ 1/2 (* -1/2 x)))))))
#s(approx (asin (sqrt (+ (* -1/2 x) 1/2))) #s(hole binary64 (asin (sqrt (+ 1/2 (* -1/2 x))))))
#s(approx (/ (- (* (acos (sqrt (+ (* x -1/2) 1/2))) (acos (sqrt (+ (* x -1/2) 1/2)))) (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) (+ (acos (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) #s(hole binary64 (/ (- (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (+ (acos (sqrt (+ 1/2 (* -1/2 x)))) (asin (sqrt (+ 1/2 (* -1/2 x))))))))
#s(approx (- (* (acos (sqrt (+ (* x -1/2) 1/2))) (acos (sqrt (+ (* x -1/2) 1/2)))) (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) #s(hole binary64 (- (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))))
#s(approx (* (acos (sqrt (+ (* x -1/2) 1/2))) (acos (sqrt (+ (* x -1/2) 1/2)))) #s(hole binary64 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))
#s(approx (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2)))) #s(hole binary64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))
#s(approx (+ (acos (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2)))) #s(hole binary64 (+ (acos (sqrt (+ 1/2 (* -1/2 x)))) (asin (sqrt (+ 1/2 (* -1/2 x)))))))
#s(approx (/ (- (/ (* (* (PI) (PI)) (PI)) 8) (* (pow (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3/2) 2) 8)) (+ (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/ (* (PI) (PI)) 4))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (* 8 (pow (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3/2) 2))) (+ (* 1/4 (pow (PI) 2)) (* 2 (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))))
#s(approx (- (/ (* (* (PI) (PI)) (PI)) 8) (* (pow (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3/2) 2) 8)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (* 8 (pow (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3/2) 2)))))
#s(approx (* (pow (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3/2) 2) 8) #s(hole binary64 (* 8 (pow (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3/2) 2))))
#s(approx (pow (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3/2) 2) #s(hole binary64 (pow (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3/2) 2)))
#s(approx (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3/2) #s(hole binary64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3/2)))
#s(approx (+ (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/ (* (PI) (PI)) 4)) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* 2 (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
#s(approx (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) #s(hole binary64 (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))
#s(approx (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
#s(approx (/ (- (/ (* (pow (cbrt (* (PI) (PI))) 3) (PI)) 8) (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 8)) (+ (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/ (* (PI) (PI)) 4))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* 2 (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))))
#s(approx (- (/ (* (pow (cbrt (* (PI) (PI))) 3) (PI)) 8) (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 8)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)))))
#s(approx (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 8) #s(hole binary64 (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))))
#s(approx (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) #s(hole binary64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)))
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))))
#s(approx (/ (- (* (* 1/2 (PI)) (* 1/2 (PI))) (pow (* (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))) 2) 2)) (+ (* 1/2 (PI)) (* (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2))) (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))))))
#s(approx (- (* (* 1/2 (PI)) (* 1/2 (PI))) (pow (* (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))) 2) 2)) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2)))))
#s(approx (pow (* (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))) 2) 2) #s(hole binary64 (* 4 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2))))
#s(approx (* (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))) 2) #s(hole binary64 (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))))
#s(approx (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))) #s(hole binary64 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))
#s(approx (acos (sqrt (+ (* x -1/2) 1/2))) #s(hole binary64 (acos (sqrt (- 1/2 (* 1/2 x))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* x (sqrt (/ -1/2 x)))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* x (+ (sqrt (/ -1/2 x)) (* 1/4 (/ 1 (* (pow x 2) (sqrt (/ -1/2 x)))))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* x (- (+ (sqrt (/ -1/2 x)) (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x))))) (/ 1/32 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3)))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* x (- (+ (sqrt (/ -1/2 x)) (+ (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x)))) (* 1/128 (/ 1 (* (pow x 6) (pow (sqrt (/ -1/2 x)) 5)))))) (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3))))))))
#s(approx (+ (* x -1/2) 1/2) #s(hole binary64 (* -1/2 x)))
#s(approx (+ (* x -1/2) 1/2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (+ (* 1/2 (PI)) (* (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))))
#s(approx (- (acos (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) #s(hole binary64 (- (acos (sqrt (- 1/2 (* 1/2 x)))) (asin (sqrt (- 1/2 (* 1/2 x)))))))
#s(approx (asin (sqrt (+ (* -1/2 x) 1/2))) #s(hole binary64 (asin (sqrt (- 1/2 (* 1/2 x))))))
#s(approx (/ (- (* (acos (sqrt (+ (* x -1/2) 1/2))) (acos (sqrt (+ (* x -1/2) 1/2)))) (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) (+ (acos (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) #s(hole binary64 (/ (- (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (+ (acos (sqrt (- 1/2 (* 1/2 x)))) (asin (sqrt (- 1/2 (* 1/2 x))))))))
#s(approx (- (* (acos (sqrt (+ (* x -1/2) 1/2))) (acos (sqrt (+ (* x -1/2) 1/2)))) (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) #s(hole binary64 (- (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))))
#s(approx (* (acos (sqrt (+ (* x -1/2) 1/2))) (acos (sqrt (+ (* x -1/2) 1/2)))) #s(hole binary64 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))
#s(approx (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2)))) #s(hole binary64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))
#s(approx (+ (acos (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2)))) #s(hole binary64 (+ (acos (sqrt (- 1/2 (* 1/2 x)))) (asin (sqrt (- 1/2 (* 1/2 x)))))))
#s(approx (/ (- (/ (* (* (PI) (PI)) (PI)) 8) (* (pow (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3/2) 2) 8)) (+ (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/ (* (PI) (PI)) 4))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (* 8 (pow (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3/2) 2))) (+ (* 1/4 (pow (PI) 2)) (* 2 (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))))))
#s(approx (- (/ (* (* (PI) (PI)) (PI)) 8) (* (pow (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3/2) 2) 8)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (* 8 (pow (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3/2) 2)))))
#s(approx (* (pow (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3/2) 2) 8) #s(hole binary64 (* 8 (pow (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3/2) 2))))
#s(approx (pow (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3/2) 2) #s(hole binary64 (pow (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3/2) 2)))
#s(approx (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3/2) #s(hole binary64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3/2)))
#s(approx (+ (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/ (* (PI) (PI)) 4)) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* 2 (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))))
#s(approx (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) #s(hole binary64 (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))
#s(approx (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
#s(approx (/ (- (/ (* (pow (cbrt (* (PI) (PI))) 3) (PI)) 8) (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 8)) (+ (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/ (* (PI) (PI)) 4))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* 2 (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))))))
#s(approx (- (/ (* (pow (cbrt (* (PI) (PI))) 3) (PI)) 8) (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 8)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)))))
#s(approx (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 8) #s(hole binary64 (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))))
#s(approx (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) #s(hole binary64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* -1 (* x (sqrt (/ -1/2 x))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1/2 x)) (* 1/4 (/ 1 (* (pow x 2) (sqrt (/ -1/2 x))))))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1/2 x)) (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x))))) (/ 1/32 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3))))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1/2 x)) (+ (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x)))) (* 1/128 (/ 1 (* (pow x 6) (pow (sqrt (/ -1/2 x)) 5)))))) (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3)))))))))
#s(approx (+ (* x -1/2) 1/2) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
Outputs
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
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#s(literal 3/2 binary64)
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(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(pow.f64 (exp.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3/2 binary64))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (*.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (pow.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (fma.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3/2 binary64) (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64))))
(+.f64 (cosh.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3/2 binary64)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3/2 binary64)) #s(literal 2 binary64))))
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
#s(approx (/ (- (* (* 1/2 (PI)) (* 1/2 (PI))) (pow (* (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))) 2) 2)) (+ (* 1/2 (PI)) (* (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))) 2))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
#s(approx (- (* (* 1/2 (PI)) (* 1/2 (PI))) (pow (* (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))) 2) 2)) (fma.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (*.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))
#s(approx (pow (* (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))) 2) 2) (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64)))
#s(approx (* (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))) 2) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
#s(approx (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
#s(approx (acos (sqrt (+ (* x -1/2) 1/2))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (fma.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 #s(literal 1/2 binary64) #s(literal 5/2 binary64))) #s(literal -1/128 binary64)) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* x -1/2) 1/2) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx x x)
#s(approx (+ (* 1/2 (PI)) (* (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))) 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (/ (- (* (acos (sqrt (+ (* x -1/2) 1/2))) (acos (sqrt (+ (* x -1/2) 1/2)))) (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) (+ (acos (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) (-.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
#s(approx (asin (sqrt (+ (* -1/2 x) 1/2))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (- (* (acos (sqrt (+ (* x -1/2) 1/2))) (acos (sqrt (+ (* x -1/2) 1/2)))) (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) (+ (acos (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) (-.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
#s(approx (- (* (acos (sqrt (+ (* x -1/2) 1/2))) (acos (sqrt (+ (* x -1/2) 1/2)))) (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) (*.f64 (+.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (-.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
#s(approx (* (acos (sqrt (+ (* x -1/2) 1/2))) (acos (sqrt (+ (* x -1/2) 1/2)))) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
#s(approx (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2)))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
#s(approx (+ (acos (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2)))) (+.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
#s(approx (- (/ (* (pow (cbrt (* (PI) (PI))) 3) (PI)) 8) (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 8)) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))))
#s(approx (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)))
#s(approx (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
#s(approx (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3/2) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3/2 binary64)))
#s(approx (+ (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/ (* (PI) (PI)) 4)) (fma.f64 (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64))))
#s(approx (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
#s(approx (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
#s(approx (- (/ (* (pow (cbrt (* (PI) (PI))) 3) (PI)) 8) (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 8)) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))))
#s(approx (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)))
#s(approx (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
#s(approx (/ (- (* (* 1/2 (PI)) (* 1/2 (PI))) (pow (* (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))) 2) 2)) (+ (* 1/2 (PI)) (* (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))) 2))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
#s(approx (- (* (* 1/2 (PI)) (* 1/2 (PI))) (pow (* (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))) 2) 2)) (fma.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (*.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))
#s(approx (pow (* (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))) 2) 2) (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64)))
#s(approx (* (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))) 2) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
#s(approx (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
#s(approx (acos (sqrt (+ (* x -1/2) 1/2))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) x))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) x))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.f64 (-.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (/.f64 #s(literal 1/32 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (*.f64 x x) (*.f64 x x)))))) x))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.f64 (-.f64 (-.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (/.f64 #s(literal -1/128 binary64) (exp.f64 (fma.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) #s(literal 5 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64)))))) (/.f64 #s(literal 1/32 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (*.f64 x x) (*.f64 x x)))))) x))
#s(approx (+ (* x -1/2) 1/2) (*.f64 x #s(literal -1/2 binary64)))
#s(approx (+ (* x -1/2) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))
#s(approx (+ (* 1/2 (PI)) (* (- (* 1/2 (PI)) (acos (sqrt (+ (* x -1/2) 1/2)))) 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (/ (- (* (acos (sqrt (+ (* x -1/2) 1/2))) (acos (sqrt (+ (* x -1/2) 1/2)))) (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) (+ (acos (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) (-.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
#s(approx (asin (sqrt (+ (* -1/2 x) 1/2))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (- (* (acos (sqrt (+ (* x -1/2) 1/2))) (acos (sqrt (+ (* x -1/2) 1/2)))) (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) (+ (acos (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) (-.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
#s(approx (- (* (acos (sqrt (+ (* x -1/2) 1/2))) (acos (sqrt (+ (* x -1/2) 1/2)))) (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) (*.f64 (+.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (-.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
#s(approx (* (acos (sqrt (+ (* x -1/2) 1/2))) (acos (sqrt (+ (* x -1/2) 1/2)))) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
#s(approx (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2)))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
#s(approx (+ (acos (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2)))) (+.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
#s(approx (- (/ (* (pow (cbrt (* (PI) (PI))) 3) (PI)) 8) (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 8)) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))))
#s(approx (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)))
#s(approx (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
#s(approx (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3/2) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3/2 binary64)))
#s(approx (+ (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/ (* (PI) (PI)) 4)) (fma.f64 (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64))))
#s(approx (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
#s(approx (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
#s(approx (- (/ (* (pow (cbrt (* (PI) (PI))) 3) (PI)) 8) (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 8)) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))))
#s(approx (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)))
#s(approx (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.f64 (neg.f64 x) (-.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.f64 (neg.f64 x) (-.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (/.f64 #s(literal 1/32 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (*.f64 x x) (*.f64 x x))))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.f64 (neg.f64 x) (-.f64 (-.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (/.f64 #s(literal -1/128 binary64) (exp.f64 (fma.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) #s(literal 5 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64)))))) (/.f64 #s(literal 1/32 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (*.f64 x x) (*.f64 x x))))))))
#s(approx (+ (* x -1/2) 1/2) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))

eval190.0ms (2.8%)

Memory
-5.3MiB live, 240.8MiB allocated; 117ms collecting garbage
Compiler

Compiled 27 207 to 4 671 computations (82.8% saved)

prune70.0ms (1%)

Memory
19.7MiB live, 111.1MiB allocated; 12ms collecting garbage
Pruning

35 alts after pruning (28 fresh and 7 done)

PrunedKeptTotal
New982231 005
Fresh9514
Picked325
Done055
Total994351 029
Accuracy
10.1%
Counts
1 029 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.9%
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (/.f64 (*.f64 (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (+.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
6.8%
(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (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 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
6.9%
(/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 8 binary64)) (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (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 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
6.8%
(/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64))) (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (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 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
6.8%
(/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64)) (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
6.8%
(/.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
6.9%
(/.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 4 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 4 binary64))) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 4 binary64)))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
6.8%
(/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 3 binary64)) (PI.f64)) #s(literal 8 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (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 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
6.8%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (PI.f64))) (PI.f64)) #s(literal 8 binary64)) (*.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 8 binary64))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (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 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (PI.f64))) #s(literal 4 binary64))))
6.9%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (*.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 8 binary64))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (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 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
6.8%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (*.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 8 binary64))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
6.8%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (*.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 8 binary64))) #s(approx (+ (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/ (* (PI) (PI)) 4)) (fma.f64 (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64)))))
6.8%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (*.f64 (exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64))) #s(literal 8 binary64))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (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 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
6.8%
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))))) (*.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (PI.f64) #s(literal 8 binary64)) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))))
6.8%
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
8.3%
(/.f64 (-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (+.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
✓6.9%
(/.f64 (-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (+.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
4.2%
(/.f64 (-.f64 (*.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (asin.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) (asin.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))))) (+.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) (asin.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64))))))
6.8%
(-.f64 (/.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (+.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
4.2%
(-.f64 (/.f64 (*.f64 (acos.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))))) (+.f64 (acos.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))))) (/.f64 (*.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))))) (+.f64 (acos.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))))))
✓6.3%
(-.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))))))
✓3.9%
(-.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))))))
✓4.2%
(-.f64 (acos.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64)))))
6.8%
#s(approx (/ (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 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 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
6.4%
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
8.3%
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (PI.f64) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
6.7%
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
✓8.2%
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
5.5%
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64))))))))
6.9%
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))
8.3%
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))
6.9%
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (/.f64 (fma.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (*.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
3.0%
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))) (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))))))
✓6.8%
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
✓4.2%
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
Compiler

Compiled 2 835 to 1 239 computations (56.3% saved)

regimes123.0ms (1.8%)

Memory
-24.3MiB live, 119.8MiB allocated; 17ms collecting garbage
Counts
56 → 1
Calls
Call 1
Inputs
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(-.f64 (acos.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #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 -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64))))))))
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))))) (*.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (PI.f64) #s(literal 8 binary64)) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))))
Outputs
(/.f64 (-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (+.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
Calls

7 calls:

49.0ms
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
14.0ms
x
11.0ms
(-.f64 #s(literal 1 binary64) x)
10.0ms
(-.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))))))
10.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
8.3%1(-.f64 #s(literal 1 binary64) x)
8.3%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
8.3%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
8.3%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
8.3%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
8.3%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))))))
8.3%1x
Compiler

Compiled 44 to 41 computations (6.8% saved)

regimes95.0ms (1.4%)

Memory
1.7MiB live, 47.6MiB allocated; 3ms collecting garbage
Counts
26 → 1
Calls
Call 1
Inputs
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(-.f64 (acos.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #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 -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64))))))))
(-.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))))))
(-.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 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(-.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(-.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 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 (*.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (asin.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) (asin.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))))) (+.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) (asin.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64))))))
#s(approx (/ (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 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 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (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 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (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 (acos.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))))) (+.f64 (acos.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))))) (/.f64 (*.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))))) (+.f64 (acos.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))))))
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (/.f64 (fma.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (*.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (+.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64)) (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (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 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
(/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64)) (*.f64 (pow.f64 (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (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 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (*.f64 (exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64))) #s(literal 8 binary64))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (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 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
Outputs
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))
Calls

7 calls:

61.0ms
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
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
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
5.0ms
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
8.3%1(-.f64 #s(literal 1 binary64) x)
8.3%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
8.3%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
8.3%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
8.3%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
8.3%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))))))
8.3%1x
Compiler

Compiled 44 to 41 computations (6.8% saved)

regimes49.0ms (0.7%)

Memory
5.5MiB live, 50.6MiB allocated; 3ms collecting garbage
Counts
19 → 1
Calls
Call 1
Inputs
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(-.f64 (acos.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #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 -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64))))))))
(-.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))))))
(-.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 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(-.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(-.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 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 (*.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (asin.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) (asin.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))))) (+.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) (asin.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64))))))
#s(approx (/ (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 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 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (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 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (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 (acos.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))))) (+.f64 (acos.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))))) (/.f64 (*.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))))) (+.f64 (acos.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))))))
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (/.f64 (fma.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (*.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
Outputs
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
Calls

7 calls:

24.0ms
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
5.0ms
x
4.0ms
(asin.f64 (sqrt.f64 (/.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)))))
4.0ms
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
8.2%1(-.f64 #s(literal 1 binary64) x)
8.2%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
8.2%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
8.2%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
8.2%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
8.2%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))))))
8.2%1x
Compiler

Compiled 44 to 41 computations (6.8% saved)

regimes23.0ms (0.3%)

Memory
-15.5MiB live, 32.7MiB allocated; 12ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(-.f64 (acos.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #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 -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64))))))))
(-.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))))))
(-.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
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
Calls

7 calls:

8.0ms
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
3.0ms
x
2.0ms
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
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))))
Results
AccuracySegmentsBranch
6.8%1(-.f64 #s(literal 1 binary64) x)
6.8%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
6.8%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
6.8%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
6.8%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
6.8%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))))))
6.8%1x
Compiler

Compiled 44 to 41 computations (6.8% saved)

regimes10.0ms (0.2%)

Memory
21.2MiB live, 21.2MiB allocated; 0ms collecting garbage
Accuracy

Total -1.2b remaining (-2%)

Threshold costs -1.2b (-2%)

Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(-.f64 (acos.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #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 -2 binary64) (asin.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
Calls

7 calls:

2.0ms
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
(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)))
1.0ms
(*.f64 #s(literal 2 binary64) (asin.f64 (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%1x
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))))))
Compiler

Compiled 44 to 41 computations (6.8% saved)

derivations398.0ms (5.9%)

Memory
-33.0MiB live, 260.2MiB allocated; 193ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 109 to 60 computations (45% saved)

preprocess64.0ms (0.9%)

Memory
-19.1MiB live, 121.7MiB allocated; 21ms collecting garbage
Compiler

Compiled 122 to 71 computations (41.8% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...