Ian Simplification

Time bar (total: 5.8s)

start0.0ms (0%)

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

analyze3.0ms (0.1%)

Memory
5.3MiB live, 5.3MiB 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)

sample3.4s (58.2%)

Memory
91.7MiB live, 3 828.2MiB allocated; 1.4s collecting garbage
Samples
1.9s3 406×2valid
1.0s4 703×1valid
9.0ms147×0valid
0.0ms6×0invalid
Precisions
Click to see histograms. Total time spent on operations: 2.6s
ival-asin: 1.7s (66.3% of total)
adjust: 315.0ms (12.2% of total)
ival-sqrt: 201.0ms (7.8% of total)
ival-sub!: 155.0ms (6% of total)
ival-mult!: 118.0ms (4.6% of total)
ival-div!: 83.0ms (3.2% of total)
ival-pi: 0.0ms (0% of total)
Bogosity

preprocess97.0ms (1.7%)

Memory
-35.0MiB live, 53.3MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01942
16042
218839
383639
4614839
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶8.7%
(-.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
14.0MiB live, 13.9MiB 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)

rewrite156.0ms (2.7%)

Memory
3.2MiB live, 186.9MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0142643
0153598
1662595
05688540
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
40 → 157
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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(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 #s(literal -2 binary64)))
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(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) #s(literal 2 binary64))
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(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
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(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64)))
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(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.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 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)) #s(literal 4 binary64))
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(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.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) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (-.f64 #s(literal 1 binary64) x))
#s(approx x x)
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#s(approx (/ (- 1 x) 2) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal -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 (asin (sqrt (/ (- 1 x) 2))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
#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)))

eval22.0ms (0.4%)

Memory
8.3MiB live, 52.4MiB allocated; 8ms collecting garbage
Compiler

Compiled 3 108 to 804 computations (74.1% saved)

prune23.0ms (0.4%)

Memory
-12.6MiB live, 43.5MiB allocated; 13ms collecting garbage
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New13710147
Fresh000
Picked101
Done000
Total13810148
Accuracy
11.9%
Counts
148 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶8.5%
(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))))))
8.5%
(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))))))
8.7%
(/.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))))
▶8.6%
(/.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))))
8.7%
(/.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)))))))))
▶10.2%
(-.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)))))))
▶9.0%
(-.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 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
8.7%
(-.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)))))
8.7%
#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 490 to 322 computations (34.3% saved)

series21.0ms (0.4%)

Memory
-2.7MiB live, 43.1MiB allocated; 5ms collecting garbage
Counts
39 → 82
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))
(-.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))
(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))))))
(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)))))
#s(literal -2 binary64)
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 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)))))
(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)))
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 (- (/ (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 (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) #s(hole binary64 (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (pow (sqrt (PI)) 2)))))
#s(approx (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) #s(hole binary64 (* -2 (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 (/ (- (/ (* (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) 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 (/ (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 (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) #s(hole binary64 (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (pow (sqrt (PI)) 2)))))
#s(approx (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) #s(hole binary64 (* -2 (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 (/ (- (/ (* (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 (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
7.0ms
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)) (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) (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (sqrt (PI)) (/ (sqrt (PI)) 2) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) -2 (asin (sqrt (+ (* -1/2 x) 1/2))) (/ (- (/ (* (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))) 2) (/ (PI) 2)))
6.0ms
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)) (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) (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (sqrt (PI)) (/ (sqrt (PI)) 2) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) -2 (asin (sqrt (+ (* -1/2 x) 1/2))) (/ (- (/ (* (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))) 2) (/ (PI) 2)))
5.0ms
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)) (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) (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (sqrt (PI)) (/ (sqrt (PI)) 2) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) -2 (asin (sqrt (+ (* -1/2 x) 1/2))) (/ (- (/ (* (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))) 2) (/ (PI) 2)))

rewrite201.0ms (3.5%)

Memory
38.4MiB live, 220.5MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03752419
04322144
118592126
087272073
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
121 → 386
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))
(-.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))
(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))))))
(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)))))
#s(literal -2 binary64)
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 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)))))
(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)))
#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 (- (/ (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 (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) #s(hole binary64 (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (pow (sqrt (PI)) 2)))))
#s(approx (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) #s(hole binary64 (* -2 (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 (/ (- (/ (* (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) 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 (/ (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 (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) #s(hole binary64 (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (pow (sqrt (PI)) 2)))))
#s(approx (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) #s(hole binary64 (* -2 (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 (/ (- (/ (* (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 (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 (fma.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)) (PI.f64)) #s(literal 8 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 (*.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))))))
(/.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 (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 (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 (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 (fma.f64 (PI.f64) (/.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 (*.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 (fma.f64 (PI.f64) (/.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 (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))) (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 (+.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))) (fma.f64 (PI.f64) (/.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 (*.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))) (fma.f64 (PI.f64) (/.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))))))
(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)))
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #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 (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)) (fma.f64 (PI.f64) (/.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)) (fma.f64 (PI.f64) (/.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)) (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 (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)) (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 (/.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)) (fma.f64 (PI.f64) (/.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)) (fma.f64 (PI.f64) (/.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 (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 (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 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (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)))))
(/.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)) (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 (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 (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)))) (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)) #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 (/.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 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
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#s(literal -1/2 binary64)
x
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(/.f64 (neg.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 (PI.f64) (PI.f64)) #s(literal 4 binary64)))) (neg.f64 (-.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 (neg.f64 (fma.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)) (PI.f64)) #s(literal 8 binary64)))) (neg.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 (*.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)))))))
(/.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 (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))))
(/.f64 (fma.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)) (PI.f64)) #s(literal 8 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 (*.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))))))
(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)))
(fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (asin.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 (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)))))
(+.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)) (+.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 (*.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)))))) (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 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 (*.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)))))))
(+.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 (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)))
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (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 (PI.f64) #s(literal 1/2 binary64)) (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 (PI.f64) #s(literal 1/2 binary64)) (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)) (sqrt 2))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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)) (sqrt 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)) (sqrt 2))) (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
#s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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 (- 1 x) (+.f64 (neg.f64 x) #s(literal 1 binary64)))
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (* -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)))) #s(literal -2 binary64)))
#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) (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 (PI.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)) (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 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (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 (PI.f64) #s(literal 1/2 binary64)) (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 (PI.f64) #s(literal 1/2 binary64)) (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 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.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 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.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 (/ (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 (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (* -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)))) #s(literal -2 binary64)))
#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) (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 (PI.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)) (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 (PI.f64) #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 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.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 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.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)) (sqrt 2))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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)) (sqrt 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)) (sqrt 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)) (sqrt 2))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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))))))))
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))

eval78.0ms (1.4%)

Memory
-18.8MiB live, 135.0MiB allocated; 47ms collecting garbage
Compiler

Compiled 17 899 to 2 081 computations (88.4% saved)

prune34.0ms (0.6%)

Memory
20.8MiB live, 67.3MiB allocated; 4ms collecting garbage
Pruning

25 alts after pruning (22 fresh and 3 done)

PrunedKeptTotal
New41718435
Fresh145
Picked235
Done000
Total42025445
Accuracy
12.1%
Counts
445 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.6%
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.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))))))
9.0%
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x #s(literal -1/2 binary64))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))
✓8.5%
(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))))))
▶8.5%
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1/4 binary64)) (-.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))))))
8.4%
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))))
8.5%
(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))))))
▶8.6%
(/.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))))
8.6%
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.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))))) #s(literal 4 binary64)) #s(literal 2 binary64))) (fma.f64 (PI.f64) (/.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)))) (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))))
8.7%
(/.f64 (-.f64 (pow.f64 (/.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)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.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))))) #s(literal 4 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 (PI.f64) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.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)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (fma.f64 (/.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))))) #s(literal 4 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 (PI.f64) #s(literal 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))))) #s(literal 4 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 (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 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 (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 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
8.6%
(/.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)) #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))))
8.7%
(/.f64 (-.f64 (/.f64 (*.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))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (+.f64 (pow.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))))) #s(literal 4 binary64)) #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)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #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)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal 64 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (+.f64 (pow.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))))) #s(literal 4 binary64)) #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)))) (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))))
8.7%
(/.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))))
▶8.6%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (+.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 2 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 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))))
8.6%
(/.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 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))))
8.7%
(/.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))))))
8.7%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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 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))))
8.7%
(/.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)))))))))
5.2%
(-.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 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))))
✓9.0%
(-.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))))))
▶4.5%
(-.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))))))
✓3.9%
(-.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))))))
8.7%
(-.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)))))
8.6%
#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 (PI.f64) #s(literal 1/2 binary64)))))
8.7%
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
▶10.2%
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
Compiler

Compiled 2 094 to 977 computations (53.3% saved)

series209.0ms (3.6%)

Memory
-26.4MiB live, 201.4MiB allocated; 38ms collecting garbage
Counts
56 → 101
Calls
Call 1
Inputs
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(PI.f64)
#s(literal 1/2 binary64)
(*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
#s(literal -2 binary64)
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 (PI.f64) #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)
(-.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))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1/4 binary64)) (-.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))))))
(sqrt.f64 (PI.f64))
(/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1/4 binary64)) (-.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1/4 binary64)) (-.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))))
(sqrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1/4 binary64)) (-.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1/4 binary64)) (-.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1/4 binary64))
(*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x #s(literal -1/2 binary64)))
(*.f64 x #s(literal -1/2 binary64))
#s(literal 1/4 binary64)
(-.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 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))))
(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)))
(/.f64 (PI.f64) #s(literal 4 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))
(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))))))
(*.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))))
(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)))
(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))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (+.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 2 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 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 (cosh.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 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 2 binary64)))) #s(literal 4 binary64)))
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(*.f64 (PI.f64) (PI.f64))
(*.f64 (+.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 2 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 2 binary64)))) #s(literal 4 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 2 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 2 binary64))))
(cosh.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 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 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 (+ (* (PI) 1/2) (* -2 (- (* (PI) 1/2) (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 (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2))))) #s(hole binary64 (* -2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))
#s(approx (- (* (PI) 1/2) (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)) (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 (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (/ (- (* (* x -1/2) (* x -1/2)) 1/4) (- (* x -1/2) 1/2)))))) #s(hole binary64 (+ (* -2 (asin (sqrt (/ (- (* 1/4 (pow x 2)) 1/4) (- (* -1/2 x) 1/2))))) (* 1/2 (pow (sqrt (PI)) 2)))))
#s(approx (* -2 (asin (sqrt (/ (- (* (* x -1/2) (* x -1/2)) 1/4) (- (* x -1/2) 1/2))))) #s(hole binary64 (* -2 (asin (sqrt (/ (- (* 1/4 (pow x 2)) 1/4) (- (* -1/2 x) 1/2)))))))
#s(approx (asin (sqrt (/ (- (* (* x -1/2) (* x -1/2)) 1/4) (- (* x -1/2) 1/2)))) #s(hole binary64 (asin (sqrt (/ (- (* 1/4 (pow x 2)) 1/4) (- (* -1/2 x) 1/2))))))
#s(approx (- (* (* x -1/2) (* x -1/2)) 1/4) #s(hole binary64 -1/4))
#s(approx (- (* (* x -1/2) (* x -1/2)) 1/4) #s(hole binary64 (- (* 1/4 (pow x 2)) 1/4)))
#s(approx (* (* x -1/2) (* x -1/2)) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (* x -1/2) #s(hole binary64 (* -1/2 x)))
#s(approx (- (* x -1/2) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* x -1/2) 1/2) #s(hole binary64 (- (* -1/2 x) 1/2)))
#s(approx (/ (+ (* (PI) (/ (PI) 4)) (* (neg (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) #s(hole binary64 (/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
#s(approx (+ (* (PI) (/ (PI) 4)) (* (neg (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) 4)) #s(hole binary64 (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))))
#s(approx (* (neg (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) 4) #s(hole binary64 (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))))
#s(approx (neg (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) #s(hole binary64 (* -1 (pow (asin (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 (asin (sqrt (+ (* x -1/2) 1/2))) #s(hole binary64 (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 (/ (- (/ (* (PI) (PI)) 4) (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (+ (* 1/2 (+ (/ 1 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (* 1/2 (- (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (/ 1 (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) (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4)) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (+ (* 1/2 (+ (/ 1 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (* 1/2 (- (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (/ 1 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))))))))
#s(approx (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4) #s(hole binary64 (* 4 (+ (* 1/2 (+ (/ 1 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (* 1/2 (- (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (/ 1 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))))))))
#s(approx (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) #s(hole binary64 (+ (* 1/2 (+ (/ 1 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (* 1/2 (- (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (/ 1 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))))))
#s(approx (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) #s(hole binary64 (* 1/2 (+ (/ 1 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))))
#s(approx (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2) #s(hole binary64 (* 2 (log (asin (sqrt (+ 1/2 (* -1/2 x))))))))
#s(approx (log (asin (sqrt (+ (* x -1/2) 1/2)))) #s(hole binary64 (log (asin (sqrt (+ 1/2 (* -1/2 x)))))))
#s(approx (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) #s(hole binary64 (* 1/2 (- (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (/ 1 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))))))
#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 (+ (* (PI) 1/2) (* -2 (- (* (PI) 1/2) (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 (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2))))) #s(hole binary64 (* -2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))))
#s(approx (- (* (PI) 1/2) (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 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#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 (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (/ (- (* (* x -1/2) (* x -1/2)) 1/4) (- (* x -1/2) 1/2)))))) #s(hole binary64 (+ (* -2 (asin (sqrt (* -1 (/ (- (* 1/4 (pow x 2)) 1/4) (+ 1/2 (* 1/2 x))))))) (* 1/2 (pow (sqrt (PI)) 2)))))
#s(approx (* -2 (asin (sqrt (/ (- (* (* x -1/2) (* x -1/2)) 1/4) (- (* x -1/2) 1/2))))) #s(hole binary64 (* -2 (asin (sqrt (* -1 (/ (- (* 1/4 (pow x 2)) 1/4) (+ 1/2 (* 1/2 x)))))))))
#s(approx (asin (sqrt (/ (- (* (* x -1/2) (* x -1/2)) 1/4) (- (* x -1/2) 1/2)))) #s(hole binary64 (asin (sqrt (* -1 (/ (- (* 1/4 (pow x 2)) 1/4) (+ 1/2 (* 1/2 x))))))))
#s(approx (- (* (* x -1/2) (* x -1/2)) 1/4) #s(hole binary64 (* (pow x 2) (- 1/4 (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (- (* x -1/2) 1/2) #s(hole binary64 (* -1 (* x (+ 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (/ (+ (* (PI) (/ (PI) 4)) (* (neg (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) #s(hole binary64 (/ (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))
#s(approx (+ (* (PI) (/ (PI) 4)) (* (neg (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) 4)) #s(hole binary64 (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))))
#s(approx (* (neg (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) 4) #s(hole binary64 (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))))
#s(approx (neg (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) #s(hole binary64 (* -1 (pow (asin (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 (asin (sqrt (+ (* x -1/2) 1/2))) #s(hole binary64 (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 (/ (- (/ (* (PI) (PI)) 4) (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (+ (* 1/2 (+ (/ 1 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (* 1/2 (- (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (/ 1 (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) (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4)) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (+ (* 1/2 (+ (/ 1 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (* 1/2 (- (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (/ 1 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))))))))
#s(approx (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4) #s(hole binary64 (* 4 (+ (* 1/2 (+ (/ 1 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (* 1/2 (- (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (/ 1 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))))))))
#s(approx (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) #s(hole binary64 (+ (* 1/2 (+ (/ 1 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (* 1/2 (- (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (/ 1 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))))))
#s(approx (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) #s(hole binary64 (* 1/2 (+ (/ 1 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))))
#s(approx (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2) #s(hole binary64 (* 2 (log (asin (sqrt (- 1/2 (* 1/2 x))))))))
#s(approx (log (asin (sqrt (+ (* x -1/2) 1/2)))) #s(hole binary64 (log (asin (sqrt (- 1/2 (* 1/2 x)))))))
#s(approx (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) #s(hole binary64 (* 1/2 (- (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (/ 1 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))))))
#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)) (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
93.0ms
x
@-inf
((- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (+ (* (PI) 1/2) (* -2 (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))))) (PI) 1/2 (* -2 (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2))))) -2 (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2) (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)) (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) (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (/ (- (* (* x -1/2) (* x -1/2)) 1/4) (- (* x -1/2) 1/2)))))) (sqrt (PI)) (/ (sqrt (PI)) 2) (* -2 (asin (sqrt (/ (- (* (* x -1/2) (* x -1/2)) 1/4) (- (* x -1/2) 1/2))))) (asin (sqrt (/ (- (* (* x -1/2) (* x -1/2)) 1/4) (- (* x -1/2) 1/2)))) (sqrt (/ (- (* (* x -1/2) (* x -1/2)) 1/4) (- (* x -1/2) 1/2))) (/ (- (* (* x -1/2) (* x -1/2)) 1/4) (- (* x -1/2) 1/2)) (- (* (* x -1/2) (* x -1/2)) 1/4) (* (* x -1/2) (* x -1/2)) (* x -1/2) 1/4 (- (* x -1/2) 1/2) (/ (+ (* (PI) (/ (PI) 4)) (* (neg (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (+ (* (PI) (/ (PI) 4)) (* (neg (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) 4)) (/ (PI) 4) 4 (* (neg (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) 4) (neg (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2)))) (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2)) (asin (sqrt (+ (* -1/2 x) 1/2))) (sqrt (+ (* -1/2 x) 1/2)) (+ (* -1/2 x) 1/2) (/ (- (/ (* (PI) (PI)) 4) (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (- (/ (* (PI) (PI)) 4) (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4)) (/ (* (PI) (PI)) 4) (* (PI) (PI)) (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4) (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2) (log (asin (sqrt (+ (* x -1/2) 1/2)))) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)))
62.0ms
x
@inf
((- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (+ (* (PI) 1/2) (* -2 (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))))) (PI) 1/2 (* -2 (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2))))) -2 (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2) (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)) (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) (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (/ (- (* (* x -1/2) (* x -1/2)) 1/4) (- (* x -1/2) 1/2)))))) (sqrt (PI)) (/ (sqrt (PI)) 2) (* -2 (asin (sqrt (/ (- (* (* x -1/2) (* x -1/2)) 1/4) (- (* x -1/2) 1/2))))) (asin (sqrt (/ (- (* (* x -1/2) (* x -1/2)) 1/4) (- (* x -1/2) 1/2)))) (sqrt (/ (- (* (* x -1/2) (* x -1/2)) 1/4) (- (* x -1/2) 1/2))) (/ (- (* (* x -1/2) (* x -1/2)) 1/4) (- (* x -1/2) 1/2)) (- (* (* x -1/2) (* x -1/2)) 1/4) (* (* x -1/2) (* x -1/2)) (* x -1/2) 1/4 (- (* x -1/2) 1/2) (/ (+ (* (PI) (/ (PI) 4)) (* (neg (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (+ (* (PI) (/ (PI) 4)) (* (neg (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) 4)) (/ (PI) 4) 4 (* (neg (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) 4) (neg (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2)))) (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2)) (asin (sqrt (+ (* -1/2 x) 1/2))) (sqrt (+ (* -1/2 x) 1/2)) (+ (* -1/2 x) 1/2) (/ (- (/ (* (PI) (PI)) 4) (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (- (/ (* (PI) (PI)) 4) (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4)) (/ (* (PI) (PI)) 4) (* (PI) (PI)) (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4) (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2) (log (asin (sqrt (+ (* x -1/2) 1/2)))) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)))
48.0ms
x
@0
((- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (+ (* (PI) 1/2) (* -2 (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))))) (PI) 1/2 (* -2 (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2))))) -2 (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2) (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)) (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) (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (/ (- (* (* x -1/2) (* x -1/2)) 1/4) (- (* x -1/2) 1/2)))))) (sqrt (PI)) (/ (sqrt (PI)) 2) (* -2 (asin (sqrt (/ (- (* (* x -1/2) (* x -1/2)) 1/4) (- (* x -1/2) 1/2))))) (asin (sqrt (/ (- (* (* x -1/2) (* x -1/2)) 1/4) (- (* x -1/2) 1/2)))) (sqrt (/ (- (* (* x -1/2) (* x -1/2)) 1/4) (- (* x -1/2) 1/2))) (/ (- (* (* x -1/2) (* x -1/2)) 1/4) (- (* x -1/2) 1/2)) (- (* (* x -1/2) (* x -1/2)) 1/4) (* (* x -1/2) (* x -1/2)) (* x -1/2) 1/4 (- (* x -1/2) 1/2) (/ (+ (* (PI) (/ (PI) 4)) (* (neg (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (+ (* (PI) (/ (PI) 4)) (* (neg (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) 4)) (/ (PI) 4) 4 (* (neg (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) 4) (neg (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2)))) (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2)) (asin (sqrt (+ (* -1/2 x) 1/2))) (sqrt (+ (* -1/2 x) 1/2)) (+ (* -1/2 x) 1/2) (/ (- (/ (* (PI) (PI)) 4) (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (- (/ (* (PI) (PI)) 4) (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4)) (/ (* (PI) (PI)) 4) (* (PI) (PI)) (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4) (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2) (log (asin (sqrt (+ (* x -1/2) 1/2)))) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)))

rewrite203.0ms (3.5%)

Memory
18.5MiB live, 244.9MiB allocated; 35ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04623770
05533082
123912969
083802904
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
157 → 621
Calls
Call 1
Inputs
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(PI.f64)
#s(literal 1/2 binary64)
(*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
#s(literal -2 binary64)
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 (PI.f64) #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)
(-.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))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1/4 binary64)) (-.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))))))
(sqrt.f64 (PI.f64))
(/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1/4 binary64)) (-.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1/4 binary64)) (-.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))))
(sqrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1/4 binary64)) (-.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1/4 binary64)) (-.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1/4 binary64))
(*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x #s(literal -1/2 binary64)))
(*.f64 x #s(literal -1/2 binary64))
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(-.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
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(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)))
(/.f64 (PI.f64) #s(literal 4 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))
(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))))))
(*.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))))
(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)))
(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))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (+.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 2 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 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))))
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(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(*.f64 (PI.f64) (PI.f64))
(*.f64 (+.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 2 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 2 binary64)))) #s(literal 4 binary64))
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(*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 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 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 (+ (* (PI) 1/2) (* -2 (- (* (PI) 1/2) (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 (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2))))) #s(hole binary64 (* -2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))
#s(approx (- (* (PI) 1/2) (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)) (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 (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (/ (- (* (* x -1/2) (* x -1/2)) 1/4) (- (* x -1/2) 1/2)))))) #s(hole binary64 (+ (* -2 (asin (sqrt (/ (- (* 1/4 (pow x 2)) 1/4) (- (* -1/2 x) 1/2))))) (* 1/2 (pow (sqrt (PI)) 2)))))
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#s(approx (asin (sqrt (/ (- (* (* x -1/2) (* x -1/2)) 1/4) (- (* x -1/2) 1/2)))) #s(hole binary64 (asin (sqrt (/ (- (* 1/4 (pow x 2)) 1/4) (- (* -1/2 x) 1/2))))))
#s(approx (- (* (* x -1/2) (* x -1/2)) 1/4) #s(hole binary64 -1/4))
#s(approx (- (* (* x -1/2) (* x -1/2)) 1/4) #s(hole binary64 (- (* 1/4 (pow x 2)) 1/4)))
#s(approx (* (* x -1/2) (* x -1/2)) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (* x -1/2) #s(hole binary64 (* -1/2 x)))
#s(approx (- (* x -1/2) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* x -1/2) 1/2) #s(hole binary64 (- (* -1/2 x) 1/2)))
#s(approx (/ (+ (* (PI) (/ (PI) 4)) (* (neg (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) #s(hole binary64 (/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
#s(approx (+ (* (PI) (/ (PI) 4)) (* (neg (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) 4)) #s(hole binary64 (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))))
#s(approx (* (neg (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) 4) #s(hole binary64 (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))))
#s(approx (neg (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) #s(hole binary64 (* -1 (pow (asin (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 (asin (sqrt (+ (* x -1/2) 1/2))) #s(hole binary64 (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 (/ (- (/ (* (PI) (PI)) 4) (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (+ (* 1/2 (+ (/ 1 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (* 1/2 (- (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (/ 1 (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) (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4)) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (+ (* 1/2 (+ (/ 1 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (* 1/2 (- (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (/ 1 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))))))))
#s(approx (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4) #s(hole binary64 (* 4 (+ (* 1/2 (+ (/ 1 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (* 1/2 (- (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (/ 1 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))))))))
#s(approx (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) #s(hole binary64 (+ (* 1/2 (+ (/ 1 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (* 1/2 (- (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (/ 1 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))))))
#s(approx (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) #s(hole binary64 (* 1/2 (+ (/ 1 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))))
#s(approx (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2) #s(hole binary64 (* 2 (log (asin (sqrt (+ 1/2 (* -1/2 x))))))))
#s(approx (log (asin (sqrt (+ (* x -1/2) 1/2)))) #s(hole binary64 (log (asin (sqrt (+ 1/2 (* -1/2 x)))))))
#s(approx (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) #s(hole binary64 (* 1/2 (- (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (/ 1 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))))))
#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 (+ (* (PI) 1/2) (* -2 (- (* (PI) 1/2) (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 (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2))))) #s(hole binary64 (* -2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))))
#s(approx (- (* (PI) 1/2) (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 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#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 (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (/ (- (* (* x -1/2) (* x -1/2)) 1/4) (- (* x -1/2) 1/2)))))) #s(hole binary64 (+ (* -2 (asin (sqrt (* -1 (/ (- (* 1/4 (pow x 2)) 1/4) (+ 1/2 (* 1/2 x))))))) (* 1/2 (pow (sqrt (PI)) 2)))))
#s(approx (* -2 (asin (sqrt (/ (- (* (* x -1/2) (* x -1/2)) 1/4) (- (* x -1/2) 1/2))))) #s(hole binary64 (* -2 (asin (sqrt (* -1 (/ (- (* 1/4 (pow x 2)) 1/4) (+ 1/2 (* 1/2 x)))))))))
#s(approx (asin (sqrt (/ (- (* (* x -1/2) (* x -1/2)) 1/4) (- (* x -1/2) 1/2)))) #s(hole binary64 (asin (sqrt (* -1 (/ (- (* 1/4 (pow x 2)) 1/4) (+ 1/2 (* 1/2 x))))))))
#s(approx (- (* (* x -1/2) (* x -1/2)) 1/4) #s(hole binary64 (* (pow x 2) (- 1/4 (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (- (* x -1/2) 1/2) #s(hole binary64 (* -1 (* x (+ 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (/ (+ (* (PI) (/ (PI) 4)) (* (neg (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) #s(hole binary64 (/ (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))
#s(approx (+ (* (PI) (/ (PI) 4)) (* (neg (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) 4)) #s(hole binary64 (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))))
#s(approx (* (neg (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) 4) #s(hole binary64 (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))))
#s(approx (neg (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) #s(hole binary64 (* -1 (pow (asin (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 (asin (sqrt (+ (* x -1/2) 1/2))) #s(hole binary64 (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 (/ (- (/ (* (PI) (PI)) 4) (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (+ (* 1/2 (+ (/ 1 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (* 1/2 (- (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (/ 1 (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) (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4)) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (+ (* 1/2 (+ (/ 1 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (* 1/2 (- (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (/ 1 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))))))))
#s(approx (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4) #s(hole binary64 (* 4 (+ (* 1/2 (+ (/ 1 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (* 1/2 (- (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (/ 1 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))))))))
#s(approx (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) #s(hole binary64 (+ (* 1/2 (+ (/ 1 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (* 1/2 (- (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (/ 1 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))))))
#s(approx (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) #s(hole binary64 (* 1/2 (+ (/ 1 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))))
#s(approx (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2) #s(hole binary64 (* 2 (log (asin (sqrt (- 1/2 (* 1/2 x))))))))
#s(approx (log (asin (sqrt (+ (* x -1/2) 1/2)))) #s(hole binary64 (log (asin (sqrt (- 1/2 (* 1/2 x)))))))
#s(approx (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) #s(hole binary64 (* 1/2 (- (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (/ 1 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))))))
#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)) (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 (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (/ (- (* (* x -1/2) (* x -1/2)) 1/4) (- (* 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))))
(/.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 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (*.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 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)))) (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 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (*.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))))
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#s(approx (+ (* (PI) 1/2) (* -2 (- (* (PI) 1/2) (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 (- (* (PI) 1/2) (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 (- (* (PI) 1/2) (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 (-.f64 (*.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 (-.f64 (*.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) (/.f64 #s(literal 1 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 (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 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)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (-.f64 (*.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 2 binary64)))) x (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (sqrt (- 1 x)) #s(literal 1 binary64))
#s(approx (sqrt (- 1 x)) (fma.f64 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 (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (/ (- (* (* x -1/2) (* x -1/2)) 1/4) (- (* x -1/2) 1/2)))))) (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 (* -2 (asin (sqrt (/ (- (* (* x -1/2) (* x -1/2)) 1/4) (- (* x -1/2) 1/2))))) (*.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 (/ (- (* (* x -1/2) (* x -1/2)) 1/4) (- (* x -1/2) 1/2)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (- (* (* x -1/2) (* x -1/2)) 1/4) #s(literal -1/4 binary64))
#s(approx (- (* (* x -1/2) (* x -1/2)) 1/4) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)))
#s(approx (* (* x -1/2) (* x -1/2)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))
#s(approx (* x -1/2) (*.f64 x #s(literal -1/2 binary64)))
#s(approx (- (* x -1/2) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* x -1/2) 1/2) (-.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ (* (PI) (PI)) 4) (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/.f64 (fma.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 (PI.f64) (PI.f64)) #s(literal 1/4 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) (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4)) (fma.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 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
#s(approx (* (neg (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 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 (neg (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) (*.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))))))
#s(approx (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 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 (/ (- (* (* x -1/2) (* x -1/2)) 1/4) (- (* x -1/2) 1/2)))) (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)) 4) (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.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) (sinh.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 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) (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.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) (sinh.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))))))
#s(approx (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.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) (sinh.f64 (*.f64 (log.f64 (asin.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 (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.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) (sinh.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))))
#s(approx (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2) (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
#s(approx (log (asin (sqrt (+ (* x -1/2) 1/2)))) (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
#s(approx (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (*.f64 (*.f64 #s(literal 2 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 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (/ (- (* (* x -1/2) (* x -1/2)) 1/4) (- (* 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 (+ (* (PI) 1/2) (* -2 (- (* (PI) 1/2) (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 (- (* (PI) 1/2) (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 (- (* (PI) 1/2) (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 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x 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 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x x))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.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 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x x)))) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 (*.f64 x x) (*.f64 x x)))))) x))
#s(approx (+ (* x -1/2) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))
#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 (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (/ (- (* (* x -1/2) (* x -1/2)) 1/4) (- (* x -1/2) 1/2)))))) (fma.f64 (asin.f64 (sqrt.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (* -2 (asin (sqrt (/ (- (* (* x -1/2) (* x -1/2)) 1/4) (- (* x -1/2) 1/2))))) (*.f64 (asin.f64 (sqrt.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal -2 binary64)))
#s(approx (asin (sqrt (/ (- (* (* x -1/2) (* x -1/2)) 1/4) (- (* x -1/2) 1/2)))) (asin.f64 (sqrt.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)))))))
#s(approx (- (* (* x -1/2) (* x -1/2)) 1/4) (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.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) (PI)) 4) (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/.f64 (fma.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 (PI.f64) (PI.f64)) #s(literal 1/4 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) (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4)) (fma.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 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
#s(approx (* (neg (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 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 (neg (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) (*.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))))))
#s(approx (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 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 (/ (- (* (* x -1/2) (* x -1/2)) 1/4) (- (* x -1/2) 1/2)))) (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)) 4) (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.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) (sinh.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 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) (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.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) (sinh.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))))))
#s(approx (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.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) (sinh.f64 (*.f64 (log.f64 (asin.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 (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.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) (sinh.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))))
#s(approx (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2) (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
#s(approx (log (asin (sqrt (+ (* x -1/2) 1/2)))) (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
#s(approx (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (*.f64 (*.f64 #s(literal 2 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 2 binary64)))) #s(literal 1/2 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 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (*.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 (/.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x x))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.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 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x x)))) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.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)) (sqrt 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))))))))

eval95.0ms (1.6%)

Memory
-5.0MiB live, 188.8MiB allocated; 26ms collecting garbage
Compiler

Compiled 27 669 to 3 090 computations (88.8% saved)

prune102.0ms (1.8%)

Memory
13.9MiB live, 123.1MiB allocated; 29ms collecting garbage
Pruning

38 alts after pruning (33 fresh and 5 done)

PrunedKeptTotal
New50920529
Fresh41317
Picked325
Done033
Total51638554
Accuracy
12.2%
Counts
554 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.5%
(fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
8.6%
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.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))))))
✓8.5%
(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))))))
8.5%
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1/4 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
6.7%
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (/.f64 #s(approx (- (* (* x -1/2) (* x -1/2)) 1/4) #s(literal -1/4 binary64)) (-.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))))))
8.4%
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))))
▶8.5%
(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))))))
▶8.6%
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.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 (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 (*.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))))) #s(literal 4 binary64)))) (*.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))) (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)))))
8.7%
(/.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.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 4 binary64)) (PI.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)))))))) #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))))
8.6%
(/.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (neg.f64 (+.f64 (sinh.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (cosh.f64 (*.f64 (log.f64 (asin.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 (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))))
8.6%
(/.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 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
8.7%
(/.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))) (/.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 (PI.f64) #s(literal 4 binary64)) (PI.f64))) (-.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)))))
8.7%
(/.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (neg.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 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))))
8.6%
(/.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) #s(approx (* (neg (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 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)))) (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))))
8.7%
(/.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64)) (neg.f64 (*.f64 (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 2 binary64)) #s(literal 3 binary64))) #s(literal 64 binary64)))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (-.f64 (pow.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))))) #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64)) (*.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))))) #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))))
8.6%
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.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))))) #s(literal 4 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.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))))) #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))))
8.6%
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.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))))) #s(literal 4 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64)) (*.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))))) #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))))
8.7%
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64))) (*.f64 (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 2 binary64)) #s(literal 3 binary64))) #s(literal 64 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (+.f64 (pow.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))))) #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.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))))) #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))))
8.7%
(/.f64 (-.f64 (pow.f64 (/.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)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.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))))) #s(literal 4 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 (PI.f64) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.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)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (fma.f64 (/.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))))) #s(literal 4 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 (PI.f64) #s(literal 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))))) #s(literal 4 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 (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 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 (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 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
8.6%
(/.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)) #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))))
8.7%
(/.f64 (-.f64 (/.f64 (*.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))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (+.f64 (pow.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))))) #s(literal 4 binary64)) #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)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #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)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal 64 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (+.f64 (pow.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))))) #s(literal 4 binary64)) #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)))) (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))))
▶8.7%
(/.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))))
8.7%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (+.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 2 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 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 (PI.f64) #s(literal 4 binary64)) (PI.f64))) (-.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)))))
8.7%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (+.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 2 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 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) #s(literal 4 binary64)) (PI.f64)) (-.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))))))
▶8.6%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (+.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 2 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 2 binary64)))) #s(literal 4 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)))))
8.6%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (+.f64 (cosh.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 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))))
8.6%
(/.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 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))))
8.7%
(/.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))))))
8.7%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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 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))))
8.7%
(/.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)))))))))
✓9.0%
(-.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))))))
✓4.5%
(-.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))))))
✓3.9%
(-.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))))))
8.7%
(-.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)))))
8.6%
#s(approx (/ (- (/ (* (PI) (PI)) 4) (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/.f64 (fma.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 (PI.f64) (PI.f64)) #s(literal 1/4 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)))))
▶8.7%
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
✓10.2%
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
5.2%
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))))))))
Compiler

Compiled 3 701 to 1 716 computations (53.6% saved)

series90.0ms (1.6%)

Memory
-28.6MiB live, 110.0MiB allocated; 18ms collecting garbage
Counts
57 → 78
Calls
Call 1
Inputs
(/.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))
(*.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))
(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))
#s(literal -1/2 binary64)
x
#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)))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 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 (PI.f64) #s(literal 2 binary64))
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #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 (PI.f64) #s(literal 1/2 binary64)))
(asin.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))
#s(literal -2 binary64)
(*.f64 (PI.f64) #s(literal 1/2 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))))))
(cbrt.f64 (*.f64 (PI.f64) (PI.f64)))
(/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
(cbrt.f64 (PI.f64))
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (+.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 2 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 2 binary64)))) #s(literal 4 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)))))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (+.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 2 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 2 binary64)))) #s(literal 4 binary64)))
(*.f64 (+.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 2 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 2 binary64)))) #s(literal 4 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 2 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 2 binary64))))
(cosh.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 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 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))))
(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 #s(literal 1/2 binary64) (PI.f64))
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.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 (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 (*.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))))) #s(literal 4 binary64)))) (*.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))) (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)))))
(fma.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.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 (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 (*.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))))) #s(literal 4 binary64))))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64))
(/.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)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.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 (*.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))))) #s(literal 4 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))))) #s(literal 4 binary64))
(*.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)))))
(asin.f64 (neg.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(neg.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(*.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))) (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))))
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))) #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))) #s(hole binary64 (asin (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 (+ (* (* (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 (- (/ (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 (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* (PI) 1/2)) #s(hole binary64 (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))))
#s(approx (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) #s(hole binary64 (* -2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))
#s(approx (/ (- (/ (* (PI) (PI)) 4) (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (+ (* 1/2 (+ (/ 1 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (* 1/2 (- (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (/ 1 (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) (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4)) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (+ (* 1/2 (+ (/ 1 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (* 1/2 (- (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (/ 1 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))))))))
#s(approx (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4) #s(hole binary64 (* 4 (+ (* 1/2 (+ (/ 1 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (* 1/2 (- (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (/ 1 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))))))))
#s(approx (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) #s(hole binary64 (+ (* 1/2 (+ (/ 1 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (* 1/2 (- (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (/ 1 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))))))
#s(approx (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) #s(hole binary64 (* 1/2 (+ (/ 1 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))))
#s(approx (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2) #s(hole binary64 (* 2 (log (asin (sqrt (+ 1/2 (* -1/2 x))))))))
#s(approx (log (asin (sqrt (+ (* x -1/2) 1/2)))) #s(hole binary64 (log (asin (sqrt (+ 1/2 (* -1/2 x)))))))
#s(approx (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) #s(hole binary64 (* 1/2 (- (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (/ 1 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))))))
#s(approx (/ (+ (* (* (/ (PI) 4) (PI)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2))) (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)) (* (* (asin (neg (sqrt (+ (* x -1/2) 1/2)))) (asin (sqrt (+ (* x -1/2) 1/2)))) 4))) (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)))) #s(hole binary64 (/ (+ (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (asin (neg (sqrt (+ 1/2 (* -1/2 x))))) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))))
#s(approx (+ (* (* (/ (PI) 4) (PI)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2))) (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)) (* (* (asin (neg (sqrt (+ (* x -1/2) 1/2)))) (asin (sqrt (+ (* x -1/2) 1/2)))) 4))) #s(hole binary64 (+ (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (asin (neg (sqrt (+ 1/2 (* -1/2 x))))) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))))
#s(approx (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)) (* (* (asin (neg (sqrt (+ (* x -1/2) 1/2)))) (asin (sqrt (+ (* x -1/2) 1/2)))) 4)) #s(hole binary64 (* 4 (* (asin (neg (sqrt (+ 1/2 (* -1/2 x))))) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
#s(approx (* (* (asin (neg (sqrt (+ (* x -1/2) 1/2)))) (asin (sqrt (+ (* x -1/2) 1/2)))) 4) #s(hole binary64 (* 4 (* (asin (neg (sqrt (+ 1/2 (* -1/2 x))))) (asin (sqrt (+ 1/2 (* -1/2 x))))))))
#s(approx (* (asin (neg (sqrt (+ (* x -1/2) 1/2)))) (asin (sqrt (+ (* x -1/2) 1/2)))) #s(hole binary64 (* (asin (neg (sqrt (+ 1/2 (* -1/2 x))))) (asin (sqrt (+ 1/2 (* -1/2 x)))))))
#s(approx (asin (neg (sqrt (+ (* x -1/2) 1/2)))) #s(hole binary64 (asin (neg (sqrt (+ 1/2 (* -1/2 x)))))))
#s(approx (neg (sqrt (+ (* x -1/2) 1/2))) #s(hole binary64 (* -1 (sqrt 1/2))))
#s(approx (neg (sqrt (+ (* x -1/2) 1/2))) #s(hole binary64 (- (* 1/4 (/ x (sqrt 1/2))) (sqrt 1/2))))
#s(approx (neg (sqrt (+ (* x -1/2) 1/2))) #s(hole binary64 (- (* x (+ (* 1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2))))) (sqrt 1/2))))
#s(approx (neg (sqrt (+ (* x -1/2) 1/2))) #s(hole binary64 (- (* x (+ (* x (+ (* 1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 1/2))))) (sqrt 1/2))))
#s(approx (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2))) #s(hole binary64 (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)))
#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))) #s(hole binary64 (asin (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 (+ (* (* (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 (- (/ (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 (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* (PI) 1/2)) #s(hole binary64 (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))))
#s(approx (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) #s(hole binary64 (* -2 (asin (sqrt (- 1/2 (* 1/2 x)))))))
#s(approx (/ (- (/ (* (PI) (PI)) 4) (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (+ (* 1/2 (+ (/ 1 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (* 1/2 (- (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (/ 1 (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) (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4)) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (+ (* 1/2 (+ (/ 1 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (* 1/2 (- (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (/ 1 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))))))))
#s(approx (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4) #s(hole binary64 (* 4 (+ (* 1/2 (+ (/ 1 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (* 1/2 (- (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (/ 1 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))))))))
#s(approx (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) #s(hole binary64 (+ (* 1/2 (+ (/ 1 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (* 1/2 (- (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (/ 1 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))))))
#s(approx (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) #s(hole binary64 (* 1/2 (+ (/ 1 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))))
#s(approx (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2) #s(hole binary64 (* 2 (log (asin (sqrt (- 1/2 (* 1/2 x))))))))
#s(approx (log (asin (sqrt (+ (* x -1/2) 1/2)))) #s(hole binary64 (log (asin (sqrt (- 1/2 (* 1/2 x)))))))
#s(approx (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) #s(hole binary64 (* 1/2 (- (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (/ 1 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))))))
#s(approx (/ (+ (* (* (/ (PI) 4) (PI)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2))) (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)) (* (* (asin (neg (sqrt (+ (* x -1/2) 1/2)))) (asin (sqrt (+ (* x -1/2) 1/2)))) 4))) (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)))) #s(hole binary64 (/ (+ (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (* (asin (neg (sqrt (- 1/2 (* 1/2 x))))) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) 2))))
#s(approx (+ (* (* (/ (PI) 4) (PI)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2))) (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)) (* (* (asin (neg (sqrt (+ (* x -1/2) 1/2)))) (asin (sqrt (+ (* x -1/2) 1/2)))) 4))) #s(hole binary64 (+ (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (* (asin (neg (sqrt (- 1/2 (* 1/2 x))))) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))))))
#s(approx (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)) (* (* (asin (neg (sqrt (+ (* x -1/2) 1/2)))) (asin (sqrt (+ (* x -1/2) 1/2)))) 4)) #s(hole binary64 (* 4 (* (asin (neg (sqrt (- 1/2 (* 1/2 x))))) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))))
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#s(approx (* (asin (neg (sqrt (+ (* x -1/2) 1/2)))) (asin (sqrt (+ (* x -1/2) 1/2)))) #s(hole binary64 (* (asin (neg (sqrt (- 1/2 (* 1/2 x))))) (asin (sqrt (- 1/2 (* 1/2 x)))))))
#s(approx (asin (neg (sqrt (+ (* x -1/2) 1/2)))) #s(hole binary64 (asin (neg (sqrt (- 1/2 (* 1/2 x)))))))
#s(approx (neg (sqrt (+ (* x -1/2) 1/2))) #s(hole binary64 (* -1 (* x (sqrt (/ -1/2 x))))))
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#s(approx (neg (sqrt (+ (* x -1/2) 1/2))) #s(hole binary64 (* x (- (/ 1/32 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3))) (+ (sqrt (/ -1/2 x)) (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x)))))))))
#s(approx (neg (sqrt (+ (* x -1/2) 1/2))) #s(hole binary64 (* x (- (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3)))) (+ (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))))))))))
#s(approx (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2))) #s(hole binary64 (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) 2)))
#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 (neg (sqrt (+ (* x -1/2) 1/2))) #s(hole binary64 (* -1 (* x (- (/ 1/32 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3))) (+ (sqrt (/ -1/2 x)) (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x))))))))))
#s(approx (neg (sqrt (+ (* x -1/2) 1/2))) #s(hole binary64 (* -1 (* x (- (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3)))) (+ (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)))))))))))
Calls

3 calls:

TimeVariablePointExpression
25.0ms
x
@0
((/ (- (/ (* (* (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)) (* (PI) (PI)) (PI) 8 (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 8) (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) (asin (sqrt (+ (* -1/2 x) 1/2))) (sqrt (+ (* -1/2 x) 1/2)) (+ (* -1/2 x) 1/2) -1/2 x 1/2 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) 2 (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2)) (/ (PI) 2) (/ (* (PI) (PI)) 4) 4 (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* (PI) 1/2)) (asin (sqrt (+ (* x -1/2) 1/2))) (sqrt (+ (* x -1/2) 1/2)) (+ (* x -1/2) 1/2) -2 (* (PI) 1/2) (+ (* (cbrt (* (PI) (PI))) (/ (cbrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (cbrt (* (PI) (PI))) (/ (cbrt (PI)) 2) (cbrt (PI)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (/ (- (/ (* (PI) (PI)) 4) (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (- (/ (* (PI) (PI)) 4) (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4)) (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4) (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2) (log (asin (sqrt (+ (* x -1/2) 1/2)))) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))) (* 1/2 (PI)) (/ (+ (* (* (/ (PI) 4) (PI)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2))) (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)) (* (* (asin (neg (sqrt (+ (* x -1/2) 1/2)))) (asin (sqrt (+ (* x -1/2) 1/2)))) 4))) (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)))) (+ (* (* (/ (PI) 4) (PI)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2))) (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)) (* (* (asin (neg (sqrt (+ (* x -1/2) 1/2)))) (asin (sqrt (+ (* x -1/2) 1/2)))) 4))) (* (/ (PI) 4) (PI)) (/ (PI) 4) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)) (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)) (* (* (asin (neg (sqrt (+ (* x -1/2) 1/2)))) (asin (sqrt (+ (* x -1/2) 1/2)))) 4)) (* (* (asin (neg (sqrt (+ (* x -1/2) 1/2)))) (asin (sqrt (+ (* x -1/2) 1/2)))) 4) (* (asin (neg (sqrt (+ (* x -1/2) 1/2)))) (asin (sqrt (+ (* x -1/2) 1/2)))) (asin (neg (sqrt (+ (* x -1/2) 1/2)))) (neg (sqrt (+ (* x -1/2) 1/2))) (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2))))
23.0ms
x
@inf
((/ (- (/ (* (* (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)) (* (PI) (PI)) (PI) 8 (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) 8) (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) (asin (sqrt (+ (* -1/2 x) 1/2))) (sqrt (+ (* -1/2 x) 1/2)) (+ (* -1/2 x) 1/2) -1/2 x 1/2 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) 2 (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2)) (/ (PI) 2) (/ (* (PI) (PI)) 4) 4 (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* (PI) 1/2)) (asin (sqrt (+ (* x -1/2) 1/2))) (sqrt (+ (* x -1/2) 1/2)) (+ (* x -1/2) 1/2) -2 (* (PI) 1/2) (+ (* (cbrt (* (PI) (PI))) (/ (cbrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (cbrt (* (PI) (PI))) (/ (cbrt (PI)) 2) (cbrt (PI)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (/ (- (/ (* (PI) (PI)) 4) (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (- (/ (* (PI) (PI)) 4) (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4)) (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4) (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2) (log (asin (sqrt (+ (* x -1/2) 1/2)))) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))) (* 1/2 (PI)) (/ (+ (* (* (/ (PI) 4) (PI)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2))) (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)) (* (* (asin (neg (sqrt (+ (* x -1/2) 1/2)))) (asin (sqrt (+ (* x -1/2) 1/2)))) 4))) (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)))) (+ (* (* (/ (PI) 4) (PI)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2))) (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)) (* (* (asin (neg (sqrt (+ (* x -1/2) 1/2)))) (asin (sqrt (+ (* x -1/2) 1/2)))) 4))) (* (/ (PI) 4) (PI)) (/ (PI) 4) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)) (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)) (* (* (asin (neg (sqrt (+ (* x -1/2) 1/2)))) (asin (sqrt (+ (* x -1/2) 1/2)))) 4)) (* (* (asin (neg (sqrt (+ (* x -1/2) 1/2)))) (asin (sqrt (+ (* x -1/2) 1/2)))) 4) (* (asin (neg (sqrt (+ (* x -1/2) 1/2)))) (asin (sqrt (+ (* x -1/2) 1/2)))) (asin (neg (sqrt (+ (* x -1/2) 1/2)))) (neg (sqrt (+ (* x -1/2) 1/2))) (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2))))
15.0ms
x
@-inf
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rewrite251.0ms (4.4%)

Memory
53.0MiB live, 274.5MiB allocated; 58ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03653806
04633334
119623112
082203061
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
135 → 674
Calls
Call 1
Inputs
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#s(approx (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2) #s(hole binary64 (* 2 (log (asin (sqrt (+ 1/2 (* -1/2 x))))))))
#s(approx (log (asin (sqrt (+ (* x -1/2) 1/2)))) #s(hole binary64 (log (asin (sqrt (+ 1/2 (* -1/2 x)))))))
#s(approx (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) #s(hole binary64 (* 1/2 (- (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (/ 1 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))))))
#s(approx (/ (+ (* (* (/ (PI) 4) (PI)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2))) (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)) (* (* (asin (neg (sqrt (+ (* x -1/2) 1/2)))) (asin (sqrt (+ (* x -1/2) 1/2)))) 4))) (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)))) #s(hole binary64 (/ (+ (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (asin (neg (sqrt (+ 1/2 (* -1/2 x))))) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))))
#s(approx (+ (* (* (/ (PI) 4) (PI)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2))) (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)) (* (* (asin (neg (sqrt (+ (* x -1/2) 1/2)))) (asin (sqrt (+ (* x -1/2) 1/2)))) 4))) #s(hole binary64 (+ (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (asin (neg (sqrt (+ 1/2 (* -1/2 x))))) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))))
#s(approx (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)) (* (* (asin (neg (sqrt (+ (* x -1/2) 1/2)))) (asin (sqrt (+ (* x -1/2) 1/2)))) 4)) #s(hole binary64 (* 4 (* (asin (neg (sqrt (+ 1/2 (* -1/2 x))))) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
#s(approx (* (* (asin (neg (sqrt (+ (* x -1/2) 1/2)))) (asin (sqrt (+ (* x -1/2) 1/2)))) 4) #s(hole binary64 (* 4 (* (asin (neg (sqrt (+ 1/2 (* -1/2 x))))) (asin (sqrt (+ 1/2 (* -1/2 x))))))))
#s(approx (* (asin (neg (sqrt (+ (* x -1/2) 1/2)))) (asin (sqrt (+ (* x -1/2) 1/2)))) #s(hole binary64 (* (asin (neg (sqrt (+ 1/2 (* -1/2 x))))) (asin (sqrt (+ 1/2 (* -1/2 x)))))))
#s(approx (asin (neg (sqrt (+ (* x -1/2) 1/2)))) #s(hole binary64 (asin (neg (sqrt (+ 1/2 (* -1/2 x)))))))
#s(approx (neg (sqrt (+ (* x -1/2) 1/2))) #s(hole binary64 (* -1 (sqrt 1/2))))
#s(approx (neg (sqrt (+ (* x -1/2) 1/2))) #s(hole binary64 (- (* 1/4 (/ x (sqrt 1/2))) (sqrt 1/2))))
#s(approx (neg (sqrt (+ (* x -1/2) 1/2))) #s(hole binary64 (- (* x (+ (* 1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2))))) (sqrt 1/2))))
#s(approx (neg (sqrt (+ (* x -1/2) 1/2))) #s(hole binary64 (- (* x (+ (* x (+ (* 1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 1/2))))) (sqrt 1/2))))
#s(approx (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2))) #s(hole binary64 (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)))
#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))) #s(hole binary64 (asin (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 (+ (* (* (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 (- (/ (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 (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* (PI) 1/2)) #s(hole binary64 (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))))
#s(approx (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) #s(hole binary64 (* -2 (asin (sqrt (- 1/2 (* 1/2 x)))))))
#s(approx (/ (- (/ (* (PI) (PI)) 4) (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (+ (* 1/2 (+ (/ 1 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (* 1/2 (- (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (/ 1 (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) (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4)) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (+ (* 1/2 (+ (/ 1 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (* 1/2 (- (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (/ 1 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))))))))
#s(approx (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4) #s(hole binary64 (* 4 (+ (* 1/2 (+ (/ 1 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (* 1/2 (- (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (/ 1 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))))))))
#s(approx (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) #s(hole binary64 (+ (* 1/2 (+ (/ 1 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (* 1/2 (- (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (/ 1 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))))))
#s(approx (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) #s(hole binary64 (* 1/2 (+ (/ 1 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))))
#s(approx (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2) #s(hole binary64 (* 2 (log (asin (sqrt (- 1/2 (* 1/2 x))))))))
#s(approx (log (asin (sqrt (+ (* x -1/2) 1/2)))) #s(hole binary64 (log (asin (sqrt (- 1/2 (* 1/2 x)))))))
#s(approx (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) #s(hole binary64 (* 1/2 (- (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (/ 1 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))))))
#s(approx (/ (+ (* (* (/ (PI) 4) (PI)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2))) (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)) (* (* (asin (neg (sqrt (+ (* x -1/2) 1/2)))) (asin (sqrt (+ (* x -1/2) 1/2)))) 4))) (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)))) #s(hole binary64 (/ (+ (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (* (asin (neg (sqrt (- 1/2 (* 1/2 x))))) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) 2))))
#s(approx (+ (* (* (/ (PI) 4) (PI)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2))) (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)) (* (* (asin (neg (sqrt (+ (* x -1/2) 1/2)))) (asin (sqrt (+ (* x -1/2) 1/2)))) 4))) #s(hole binary64 (+ (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (* (asin (neg (sqrt (- 1/2 (* 1/2 x))))) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))))))
#s(approx (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)) (* (* (asin (neg (sqrt (+ (* x -1/2) 1/2)))) (asin (sqrt (+ (* x -1/2) 1/2)))) 4)) #s(hole binary64 (* 4 (* (asin (neg (sqrt (- 1/2 (* 1/2 x))))) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))))
#s(approx (* (* (asin (neg (sqrt (+ (* x -1/2) 1/2)))) (asin (sqrt (+ (* x -1/2) 1/2)))) 4) #s(hole binary64 (* 4 (* (asin (neg (sqrt (- 1/2 (* 1/2 x))))) (asin (sqrt (- 1/2 (* 1/2 x))))))))
#s(approx (* (asin (neg (sqrt (+ (* x -1/2) 1/2)))) (asin (sqrt (+ (* x -1/2) 1/2)))) #s(hole binary64 (* (asin (neg (sqrt (- 1/2 (* 1/2 x))))) (asin (sqrt (- 1/2 (* 1/2 x)))))))
#s(approx (asin (neg (sqrt (+ (* x -1/2) 1/2)))) #s(hole binary64 (asin (neg (sqrt (- 1/2 (* 1/2 x)))))))
#s(approx (neg (sqrt (+ (* x -1/2) 1/2))) #s(hole binary64 (* -1 (* x (sqrt (/ -1/2 x))))))
#s(approx (neg (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 (neg (sqrt (+ (* x -1/2) 1/2))) #s(hole binary64 (* x (- (/ 1/32 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3))) (+ (sqrt (/ -1/2 x)) (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x)))))))))
#s(approx (neg (sqrt (+ (* x -1/2) 1/2))) #s(hole binary64 (* x (- (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3)))) (+ (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))))))))))
#s(approx (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2))) #s(hole binary64 (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) 2)))
#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 (neg (sqrt (+ (* x -1/2) 1/2))) #s(hole binary64 (* -1 (* x (- (/ 1/32 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3))) (+ (sqrt (/ -1/2 x)) (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x))))))))))
#s(approx (neg (sqrt (+ (* x -1/2) 1/2))) #s(hole binary64 (* -1 (* x (- (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3)))) (+ (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)))))))))))
Outputs
(/.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 (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))))
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(/.f64 (*.f64 (fma.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 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 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) (PI.f64)) #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 (*.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))))) (-.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 (fma.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 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64))) (fma.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 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 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 (*.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))))) (+.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 (*.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)))))))
(/.f64 #s(literal 1 binary64) (pow.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))) #s(literal -2 binary64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 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 (PI.f64) #s(literal 2 binary64)))) (*.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 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 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 (PI.f64) #s(literal 2 binary64)))) (*.f64 (/.f64 (PI.f64) #s(literal 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 (PI.f64) #s(literal 2 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 (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 (PI.f64) #s(literal 2 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) #s(literal 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 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 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 (PI.f64) #s(literal 2 binary64))) (*.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 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 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 (PI.f64) #s(literal 2 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal 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 (PI.f64) #s(literal 2 binary64)))))
(fabs.f64 (pow.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))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.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)))) #s(literal 2 binary64)))
(+.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 (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 (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 (PI.f64) #s(literal 2 binary64))))
(+.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 (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)) (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)))))
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.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 (PI.f64) #s(literal 1/2 binary64))) (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 (PI.f64) (*.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))) (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)) (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 (-.f64 (*.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 (+ (* -1/2 x) 1/2)) (fma.f64 (-.f64 (*.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) (/.f64 #s(literal 1 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 (+ (* -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 (+ (* (* (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 (PI.f64) #s(literal 1/2 binary64))) (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 (+ (* (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 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
#s(approx (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* (PI) 1/2)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (* -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)))) #s(literal -2 binary64)))
#s(approx (/ (- (/ (* (PI) (PI)) 4) (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 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 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.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) (sinh.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 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 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (- (/ (* (PI) (PI)) 4) (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.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) (sinh.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))))))
#s(approx (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.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) (sinh.f64 (*.f64 (log.f64 (asin.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 (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.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) (sinh.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))))
#s(approx (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2) (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
#s(approx (log (asin (sqrt (+ (* x -1/2) 1/2)))) (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
#s(approx (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (*.f64 (*.f64 #s(literal 2 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 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (/ (PI) 4) (PI)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2))) (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)) (* (* (asin (neg (sqrt (+ (* x -1/2) 1/2)))) (asin (sqrt (+ (* x -1/2) 1/2)))) 4))) (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)))) (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (*.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 1/2 binary64))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.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 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64))) (pow.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 1/2 binary64))) #s(literal 2 binary64))))
#s(approx (+ (* (* (/ (PI) 4) (PI)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2))) (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)) (* (* (asin (neg (sqrt (+ (* x -1/2) 1/2)))) (asin (sqrt (+ (* x -1/2) 1/2)))) 4))) (fma.f64 (*.f64 #s(literal 4 binary64) (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (*.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 1/2 binary64))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.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 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64))))
#s(approx (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)) (* (* (asin (neg (sqrt (+ (* x -1/2) 1/2)))) (asin (sqrt (+ (* x -1/2) 1/2)))) 4)) (*.f64 (*.f64 #s(literal 4 binary64) (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (*.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 1/2 binary64))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
#s(approx (* (* (asin (neg (sqrt (+ (* x -1/2) 1/2)))) (asin (sqrt (+ (* x -1/2) 1/2)))) 4) (*.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))))) #s(literal 4 binary64)))
#s(approx (* (asin (neg (sqrt (+ (* x -1/2) 1/2)))) (asin (sqrt (+ (* x -1/2) 1/2)))) (*.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))))))
#s(approx (asin (neg (sqrt (+ (* x -1/2) 1/2)))) (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
#s(approx (neg (sqrt (+ (* x -1/2) 1/2))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (neg (sqrt (+ (* x -1/2) 1/2))) (-.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (neg (sqrt (+ (* x -1/2) 1/2))) (-.f64 (*.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 (neg (sqrt (+ (* x -1/2) 1/2))) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (/.f64 x (pow.f64 #s(literal 1/2 binary64) #s(literal 5/2 binary64))) #s(literal 1/128 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 (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2))) (pow.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 1/2 binary64))) #s(literal 2 binary64)))
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.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 (PI.f64) #s(literal 1/2 binary64))) (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 (PI.f64) (*.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))) (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 (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 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.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 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.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 (+ (* (* (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 (PI.f64) #s(literal 1/2 binary64))) (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 (+ (* (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 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
#s(approx (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* (PI) 1/2)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (* -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)))) #s(literal -2 binary64)))
#s(approx (/ (- (/ (* (PI) (PI)) 4) (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 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 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.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) (sinh.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 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 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (- (/ (* (PI) (PI)) 4) (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.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) (sinh.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))))))
#s(approx (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.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) (sinh.f64 (*.f64 (log.f64 (asin.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 (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.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) (sinh.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))))
#s(approx (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2) (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
#s(approx (log (asin (sqrt (+ (* x -1/2) 1/2)))) (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
#s(approx (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (*.f64 (*.f64 #s(literal 2 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 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (/ (PI) 4) (PI)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2))) (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)) (* (* (asin (neg (sqrt (+ (* x -1/2) 1/2)))) (asin (sqrt (+ (* x -1/2) 1/2)))) 4))) (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)))) (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (*.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 1/2 binary64))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.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 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64))) (pow.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 1/2 binary64))) #s(literal 2 binary64))))
#s(approx (+ (* (* (/ (PI) 4) (PI)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2))) (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)) (* (* (asin (neg (sqrt (+ (* x -1/2) 1/2)))) (asin (sqrt (+ (* x -1/2) 1/2)))) 4))) (fma.f64 (*.f64 #s(literal 4 binary64) (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (*.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 1/2 binary64))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.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 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64))))
#s(approx (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)) (* (* (asin (neg (sqrt (+ (* x -1/2) 1/2)))) (asin (sqrt (+ (* x -1/2) 1/2)))) 4)) (*.f64 (*.f64 #s(literal 4 binary64) (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (*.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 1/2 binary64))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
#s(approx (* (* (asin (neg (sqrt (+ (* x -1/2) 1/2)))) (asin (sqrt (+ (* x -1/2) 1/2)))) 4) (*.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))))) #s(literal 4 binary64)))
#s(approx (* (asin (neg (sqrt (+ (* x -1/2) 1/2)))) (asin (sqrt (+ (* x -1/2) 1/2)))) (*.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))))))
#s(approx (asin (neg (sqrt (+ (* x -1/2) 1/2)))) (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
#s(approx (neg (sqrt (+ (* x -1/2) 1/2))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) x)))
#s(approx (neg (sqrt (+ (* x -1/2) 1/2))) (neg.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))) x)))
#s(approx (neg (sqrt (+ (* x -1/2) 1/2))) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) (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 (neg (sqrt (+ (* x -1/2) 1/2))) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (+.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)))))) x))
#s(approx (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2))) (pow.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 1/2 binary64))) #s(literal 2 binary64)))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (neg.f64 (*.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 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 (*.f64 x x) (*.f64 x x))))) x)))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (neg.f64 (*.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 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 (*.f64 x x) (*.f64 x x)))))) x)))
#s(approx (+ (* -1/2 x) 1/2) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
#s(approx (neg (sqrt (+ (* x -1/2) 1/2))) (neg.f64 (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) (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 (neg (sqrt (+ (* x -1/2) 1/2))) (neg.f64 (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (+.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)))))) x)))

eval135.0ms (2.3%)

Memory
-4.9MiB live, 219.4MiB allocated; 53ms collecting garbage
Compiler

Compiled 42 382 to 2 980 computations (93% saved)

prune144.0ms (2.5%)

Memory
8.5MiB live, 161.9MiB allocated; 108ms collecting garbage
Pruning

43 alts after pruning (36 fresh and 7 done)

PrunedKeptTotal
New60615621
Fresh72128
Picked325
Done055
Total61643659
Accuracy
12.5%
Counts
659 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.5%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.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)))
8.6%
(fma.f64 (/.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 (PI.f64) #s(literal 2 binary64))) (*.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)))))) (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 #s(literal 4 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 (PI.f64) #s(literal 2 binary64)))) (/.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 (PI.f64) #s(literal 2 binary64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (pow.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))) #s(literal 2 binary64))))
4.5%
(fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
8.6%
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.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))))))
✓8.5%
(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))))))
8.5%
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1/4 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
6.7%
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (/.f64 #s(approx (- (* (* x -1/2) (* x -1/2)) 1/4) #s(literal -1/4 binary64)) (-.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))))))
8.4%
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))))
8.7%
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (/.f64 (exp.f64 (/.f64 (log.f64 (PI.f64)) #s(literal 3 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))))))
9.0%
(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 (*.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))))
8.8%
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.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 (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 (*.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))))) #s(literal 4 binary64)))) (/.f64 (-.f64 (pow.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 (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))) #s(literal 2 binary64)) (*.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 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.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 (PI.f64) #s(literal 2 binary64))))) (-.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 (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 (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 (PI.f64) #s(literal 2 binary64))))))
8.7%
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.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 (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 (*.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))))) #s(literal 4 binary64)))) (/.f64 (*.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 (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) (PI.f64)) #s(literal 4 binary64)))) (*.f64 (-.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 (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))))))
8.7%
(/.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.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 4 binary64)) (PI.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)))))))) #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))))
8.6%
(/.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (neg.f64 (+.f64 (sinh.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (cosh.f64 (*.f64 (log.f64 (asin.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 (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))))
8.6%
(/.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 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
8.7%
(/.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))) (/.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 (PI.f64) #s(literal 4 binary64)) (PI.f64))) (-.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)))))
8.7%
(/.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (neg.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 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))))
8.6%
(/.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) #s(approx (* (neg (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 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)))) (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))))
8.8%
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) #s(literal 3 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 binary64)) #s(literal 3 binary64)) #s(literal 512 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (+.f64 (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)) (*.f64 (/.f64 (*.f64 (PI.f64) (*.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)))))) (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))))
8.7%
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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 (PI.f64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.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))))) #s(literal 4 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 (PI.f64) #s(literal 1/2 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 (/.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))))) #s(literal 4 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 (PI.f64) #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))))) #s(literal 4 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 (PI.f64) #s(literal 1/2 binary64))))) (*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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 (PI.f64) #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))))) #s(literal 4 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 (PI.f64) #s(literal 1/2 binary64)))))))))
8.6%
(/.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)) #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))))
8.7%
(/.f64 (-.f64 (/.f64 (*.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))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (+.f64 (pow.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))))) #s(literal 4 binary64)) #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)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #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)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal 64 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (+.f64 (pow.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))))) #s(literal 4 binary64)) #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)))) (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))))
8.7%
(/.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 (*.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))) (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))))
8.7%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (+.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 2 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 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 (PI.f64) #s(literal 4 binary64)) (PI.f64))) (-.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)))))
8.7%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (+.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 2 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 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) #s(literal 4 binary64)) (PI.f64)) (-.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))))))
✓8.6%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (+.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 2 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 2 binary64)))) #s(literal 4 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)))))
8.6%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (+.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 2 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 2 binary64)))) #s(literal 4 binary64))) #s(approx (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2)) (exp.f64 (*.f64 (log.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 1/2 binary64)))) #s(literal 1 binary64)))))
8.6%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (+.f64 (cosh.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 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))))
8.7%
(/.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))))))
8.7%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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 2 binary64))) #s(literal 4 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)))))
8.7%
(/.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))))
8.7%
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.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 (/.f64 (*.f64 (PI.f64) (*.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 (/.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)))))) (+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.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 (*.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))))))
8.7%
(/.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)))))))))
✓9.0%
(-.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))))))
✓4.5%
(-.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))))))
✓3.9%
(-.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))))))
8.7%
(-.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)))))
8.6%
#s(approx (/ (- (/ (* (PI) (PI)) 4) (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/.f64 (fma.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 (PI.f64) (PI.f64)) #s(literal 1/4 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)))))
8.7%
#s(approx (/ (+ (* (* (/ (PI) 4) (PI)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2))) (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)) (* (* (asin (neg (sqrt (+ (* x -1/2) 1/2)))) (asin (sqrt (+ (* x -1/2) 1/2)))) 4))) (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2)))) (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (*.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 1/2 binary64))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.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 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64))) (pow.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 1/2 binary64))) #s(literal 2 binary64))))
✓8.7%
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
✓10.2%
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
5.2%
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))))))))
8.7%
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.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 (PI.f64) #s(literal 1/2 binary64))) (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))))))
Compiler

Compiled 6 282 to 1 534 computations (75.6% saved)

regimes206.0ms (3.6%)

Memory
2.0MiB live, 322.7MiB allocated; 58ms collecting garbage
Counts
64 → 1
Calls
Call 1
Inputs
(-.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 (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 1/2 binary64))))
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #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 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 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)))))
(-.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)))))))
(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 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (/.f64 #s(approx (- (* (* x -1/2) (* x -1/2)) 1/4) #s(literal -1/4 binary64)) (-.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 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 (/.f64 (-.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1/4 binary64)) (-.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))))))
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.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 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x #s(literal -1/2 binary64))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 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 (/.f64 (-.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1/4 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.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)))
(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))))))
#s(approx (/ (- (/ (* (PI) (PI)) 4) (* (+ (cosh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) (sinh (* (log (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/.f64 (fma.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 (PI.f64) (PI.f64)) #s(literal 1/4 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)) (+ (* (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 (PI.f64) #s(literal 1/2 binary64)))))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (/.f64 (exp.f64 (/.f64 (log.f64 (PI.f64)) #s(literal 3 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 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) #s(approx (* (neg (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 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)))) (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)) (*.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))))
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(/.f64 (-.f64 (/.f64 (*.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))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (+.f64 (pow.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))))) #s(literal 4 binary64)) #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)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #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)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal 64 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (+.f64 (pow.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))))) #s(literal 4 binary64)) #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)))) (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 (pow.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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 (PI.f64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.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))))) #s(literal 4 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 (PI.f64) #s(literal 1/2 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 (/.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))))) #s(literal 4 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 (PI.f64) #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))))) #s(literal 4 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 (PI.f64) #s(literal 1/2 binary64))))) (*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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 (PI.f64) #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))))) #s(literal 4 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 (PI.f64) #s(literal 1/2 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (/.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)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.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))))) #s(literal 4 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 (PI.f64) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.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)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (fma.f64 (/.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))))) #s(literal 4 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 (PI.f64) #s(literal 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))))) #s(literal 4 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 (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 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 (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 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 (/.f64 (/.f64 (*.f64 (PI.f64) (*.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 (/.f64 (*.f64 (PI.f64) (*.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 (/.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)))))) (+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.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 (*.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
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
Calls

7 calls:

56.0ms
(-.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))))))
51.0ms
x
23.0ms
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
22.0ms
(-.f64 #s(literal 1 binary64) x)
16.0ms
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
10.2%1(-.f64 #s(literal 1 binary64) x)
10.2%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
10.2%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
10.2%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
10.2%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
10.2%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))))))
10.2%1x
Compiler

Compiled 44 to 41 computations (6.8% saved)

regimes20.0ms (0.4%)

Memory
19.5MiB live, 63.2MiB allocated; 7ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
(-.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 (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 1/2 binary64))))
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #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
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
Calls

7 calls:

5.0ms
(/.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
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
9.0%1x
9.0%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))))))
9.0%1(-.f64 #s(literal 1 binary64) x)
9.0%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
9.0%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
9.0%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
9.0%1(*.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)

regimes18.0ms (0.3%)

Memory
9.8MiB live, 54.8MiB allocated; 6ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
(-.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 (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 1/2 binary64))))
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #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))))))
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:

5.0ms
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
3.0ms
x
2.0ms
(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
(-.f64 #s(literal 1 binary64) x)
Results
AccuracySegmentsBranch
8.7%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))))))
8.7%1(-.f64 #s(literal 1 binary64) x)
8.7%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
8.7%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
8.7%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
8.7%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
8.7%1x
Compiler

Compiled 44 to 41 computations (6.8% saved)

regimes10.0ms (0.2%)

Memory
-19.7MiB live, 26.4MiB allocated; 4ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
(-.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
(-.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))))))
Calls

7 calls:

1.0ms
x
1.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
1.0ms
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
1.0ms
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
1.0ms
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
6.1%2x
4.5%1(-.f64 #s(literal 1 binary64) x)
4.5%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
4.5%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
4.5%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
4.5%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
4.5%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)

regimes7.0ms (0.1%)

Memory
24.3MiB live, 24.3MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

7 calls:

1.0ms
x
1.0ms
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
1.0ms
(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
3.9%1(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
3.9%1(-.f64 #s(literal 1 binary64) x)
3.9%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
3.9%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
3.9%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
3.9%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
3.9%1x
Compiler

Compiled 44 to 41 computations (6.8% saved)

bsearch69.0ms (1.2%)

Memory
2.6MiB live, 145.6MiB allocated; 23ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
66.0ms
-3.4056280203982458e-307
1.1138439450859615e-305
Samples
60.0ms128×2valid
Compiler

Compiled 264 to 255 computations (3.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-asin: 36.0ms (72.8% of total)
adjust: 5.0ms (10.1% of total)
ival-sqrt: 4.0ms (8.1% of total)
ival-sub!: 2.0ms (4% of total)
ival-mult!: 2.0ms (4% of total)
ival-div!: 1.0ms (2% of total)
ival-pi: 0.0ms (0% of total)

derivations141.0ms (2.4%)

Memory
-49.3MiB live, 200.5MiB allocated; 47ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 122 to 62 computations (49.2% saved)

preprocess65.0ms (1.1%)

Memory
-1.4MiB live, 191.7MiB allocated; 14ms collecting garbage
Compiler

Compiled 135 to 73 computations (45.9% saved)

end0.0ms (0%)

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

Profiling

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