Ian Simplification

Time bar (total: 6.3s)

start0.0ms (0.0%)

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

analyze3.0ms (0.0%)

Memory
6.0MiB live, 6.0MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%100.0%0.0%0.0%0.0%0.0%0
0.0%0.0%100.0%0.0%0.0%0.0%0.0%1
0.0%0.0%100.0%0.0%0.0%0.0%0.0%2
0.0%0.0%50.0%0.0%0.0%50.0%0.0%3
50.0%25.0%25.0%0.0%0.0%50.0%0.0%4
75.0%37.5%12.5%0.0%0.0%50.0%0.0%5
87.5%43.7%6.2%0.0%0.0%50.0%0.0%6
93.8%46.9%3.1%0.0%0.0%50.0%0.0%7
96.9%48.4%1.6%0.0%0.0%50.0%0.0%8
98.4%49.2%0.8%0.0%0.0%50.0%0.0%9
99.2%49.6%0.4%0.0%0.0%50.0%0.0%10
99.6%49.8%0.2%0.0%0.0%50.0%0.0%11
99.8%49.9%0.1%0.0%0.0%50.0%0.0%12
Compiler

Compiled 15 to 13 computations (13.3% saved)

sample3.5s (56.3%)

Memory
114.0MiB live, 4 823.1MiB allocated; 988ms collecting garbage
Samples
1.7s3 407×2valid
1.3s4 722×1valid
8.0ms127×0valid
0.0ms6×0invalid
Precisions
Click to see histograms. Total time spent on operations: 2.7s
ival-asin: 1.6s (61.6% of total)
adjust: 428.0ms (16.1% of total)
ival-sqrt: 193.0ms (7.2% of total)
ival-div!: 165.0ms (6.2% of total)
ival-mult!: 127.0ms (4.8% of total)
ival-sub!: 111.0ms (4.2% of total)
ival-pi: 0.0ms (0.0% of total)
Bogosity

preprocess67.0ms (1.1%)

Memory
-28.4MiB live, 66.5MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01939
18139
231439
3168339
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶8.5%
(-.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)

sample0.0ms (0.0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
(/ (PI) 2)
(PI)
2
1
Outputs
#s(literal 884279719003555/562949953421312 binary64)
#s(literal 884279719003555/281474976710656 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
Samples
0.0ms1×0valid
Compiler

Compiled 8 to 6 computations (25.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series14.0ms (0.2%)

Memory
33.0MiB live, 33.0MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0134593
Stop Event
1×iter-limit
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))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (/ (- 1 x) 2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))
#s(approx (sqrt (/ (- 1 x) 2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
#s(approx (sqrt (/ (- 1 x) 2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/128 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
#s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))
#s(approx (/ (- 1 x) 2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(approx x x)
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))))))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (/.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)))))))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (*.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (/ (- 1 x) 2) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- 1 x) 2) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
#s(approx (- 1 x) (*.f64 #s(literal -1 binary64) x))
#s(approx (- 1 x) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))))))))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (/.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (*.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (/ (- 1 x) 2) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- 1 x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
Calls

3 calls:

TimeVariablePoint
2.0ms
x
-inf
2.0ms
x
inf
1.0ms
x
0

rewrite149.0ms (2.4%)

Memory
-15.8MiB live, 260.7MiB allocated; 43ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01150
01950
110250
240350
3196750
0413044
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
11 → 420
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
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 (-.f64 #s(literal 1 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 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64) (neg.f64 (PI.f64))) #s(literal -2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 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 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (-.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(/.f64 (-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (+.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 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 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(/.f64 (neg.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -4 binary64) (PI.f64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (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 -4 binary64) (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)))) #s(literal 4 binary64)) (PI.f64)) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 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 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 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 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.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 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 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 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #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 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))))
(neg.f64 (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -4 binary64) (PI.f64)) #s(literal -1/2 binary64)))
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(pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (pow.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))
(/.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) #s(literal -2 binary64))) #s(literal -4 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(/.f64 (+.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 #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))) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 x))) #s(literal -4 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 x))) #s(literal 4 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 x))) #s(literal 4 binary64))
(/.f64 (-.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) x)) #s(literal -4 binary64))
(/.f64 (-.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 x))) #s(literal -4 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal 4 binary64))
(/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))
(/.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.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 -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 x) #s(literal 1/2 binary64))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(-.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x x) #s(literal 4 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(sqrt.f64 (*.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))))
(fabs.f64 (*.f64 (neg.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)))))
(fabs.f64 (*.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))))))
(fabs.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.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 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) #s(literal 1/2 binary64))
(+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (neg.f64 x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x))) (neg.f64 x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (neg.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 (neg.f64 x) (neg.f64 x) (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x))))
(neg.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(neg.f64 (-.f64 x #s(literal 1 binary64)))
(fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(-.f64 (neg.f64 x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) x)
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
#s(literal 1 binary64)
x

eval87.0ms (1.4%)

Memory
-1.9MiB live, 135.6MiB allocated; 49ms collecting garbage
Compiler

Compiled 9 226 to 1 817 computations (80.3% saved)

prune20.0ms (0.3%)

Memory
36.4MiB live, 36.4MiB allocated; 0ms collecting garbage
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New43113444
Fresh000
Picked101
Done000
Total43213445
Accuracy
11.5%
Counts
445 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶8.3%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
8.5%
(/.f64 (-.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
8.5%
(/.f64 (-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (+.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
▶9.8%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
8.4%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (neg.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (acos.f64 (neg.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
▶8.1%
(-.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))))))
8.4%
(-.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 1/2 binary64))))))
▶4.3%
(-.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))))))
8.5%
(-.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
8.5%
(-.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
8.5%
(*.f64 (-.f64 #s(literal 1 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 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
8.5%
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
▶8.4%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
Compiler

Compiled 574 to 332 computations (42.2% saved)

sample1.0ms (0.0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
(/ (PI) 2)
(PI)
2
-1/2
1/2
1
(sqrt 2)
(* 1/2 (PI))
-2
(pow (PI) 2/3)
2/3
(* (cbrt (PI)) 1/2)
(cbrt (PI))
Outputs
#s(literal 884279719003555/562949953421312 binary64)
#s(literal 884279719003555/281474976710656 binary64)
#s(literal 2 binary64)
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 6369051672525773/4503599627370496 binary64)
#s(literal 884279719003555/562949953421312 binary64)
#s(literal -2 binary64)
#s(literal 4830176796763987/2251799813685248 binary64)
#s(literal 6004799503160661/9007199254740992 binary64)
#s(literal 824491934883991/1125899906842624 binary64)
#s(literal 824491934883991/562949953421312 binary64)
Samples
0.0ms1×0valid
Compiler

Compiled 26 to 16 computations (38.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series28.0ms (0.5%)

Memory
-6.2MiB live, 39.7MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03361964
Stop Event
1×iter-limit
Counts
38 → 80
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (neg.f64 (acos.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))
(PI.f64)
#s(literal 2 binary64)
(+.f64 (PI.f64) (*.f64 (neg.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 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
x
#s(literal -1/2 binary64)
#s(literal 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))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(literal -2 binary64)
(asin.f64 (sqrt.f64 (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 1/2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(pow.f64 (PI.f64) #s(literal 2/3 binary64))
#s(literal 2/3 binary64)
(*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))
(cbrt.f64 (PI.f64))
Outputs
#s(approx (- (/ (PI) 2) (+ (PI) (* (neg (acos (sqrt (+ (* x -1/2) 1/2)))) 2))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))))
#s(approx (+ (PI) (* (neg (acos (sqrt (+ (* x -1/2) 1/2)))) 2)) (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
#s(approx (* (neg (acos (sqrt (+ (* x -1/2) 1/2)))) 2) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
#s(approx (neg (acos (sqrt (+ (* x -1/2) 1/2)))) (*.f64 #s(literal -1 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
#s(approx (acos (sqrt (+ (* x -1/2) 1/2))) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/128 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (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) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx x x)
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))
#s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #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)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 x (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))) (/.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)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (sqrt (- 1 x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)))))
#s(approx (sqrt (- 1 x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))))
#s(approx (- 1 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(approx (* (+ 1 (/ (* 1/2 (PI)) (* -2 (asin (sqrt (+ (* x -1/2) 1/2)))))) (* -2 (asin (sqrt (+ (* x -1/2) 1/2))))) (*.f64 #s(literal -2 binary64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))))))
#s(approx (+ 1 (/ (* 1/2 (PI)) (* -2 (asin (sqrt (+ (* x -1/2) 1/2)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))))
#s(approx (/ (* 1/2 (PI)) (* -2 (asin (sqrt (+ (* x -1/2) 1/2))))) (*.f64 #s(literal -1/4 binary64) (/.f64 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
#s(approx (* -2 (asin (sqrt (+ (* x -1/2) 1/2)))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
#s(approx (asin (sqrt (+ (* x -1/2) 1/2))) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
#s(approx (+ (* (pow (PI) 2/3) (* (cbrt (PI)) 1/2)) (* -2 (asin (sqrt (+ (* x -1/2) 1/2))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (- (/ (PI) 2) (+ (PI) (* (neg (acos (sqrt (+ (* x -1/2) 1/2)))) 2))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))))
#s(approx (+ (PI) (* (neg (acos (sqrt (+ (* x -1/2) 1/2)))) 2)) (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))))
#s(approx (* (neg (acos (sqrt (+ (* x -1/2) 1/2)))) 2) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
#s(approx (neg (acos (sqrt (+ (* x -1/2) 1/2)))) (*.f64 #s(literal -1 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
#s(approx (acos (sqrt (+ (* x -1/2) 1/2))) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (/.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (*.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (+ (* x -1/2) 1/2) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (+ (* x -1/2) 1/2) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (/.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))) (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))) (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))) (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 binary64))))) (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (sqrt (- 1 x)) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (sqrt (- 1 x)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))))))
#s(approx (sqrt (- 1 x)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))))))
#s(approx (sqrt (- 1 x)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (- 1 x) (*.f64 #s(literal -1 binary64) x))
#s(approx (- 1 x) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
#s(approx (* (+ 1 (/ (* 1/2 (PI)) (* -2 (asin (sqrt (+ (* x -1/2) 1/2)))))) (* -2 (asin (sqrt (+ (* x -1/2) 1/2))))) (*.f64 #s(literal -2 binary64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (PI.f64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))))))
#s(approx (+ 1 (/ (* 1/2 (PI)) (* -2 (asin (sqrt (+ (* x -1/2) 1/2)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (PI.f64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))))
#s(approx (/ (* 1/2 (PI)) (* -2 (asin (sqrt (+ (* x -1/2) 1/2))))) (*.f64 #s(literal -1/4 binary64) (/.f64 (PI.f64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))))
#s(approx (* -2 (asin (sqrt (+ (* x -1/2) 1/2)))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
#s(approx (asin (sqrt (+ (* x -1/2) 1/2))) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (+ (* (pow (PI) 2/3) (* (cbrt (PI)) 1/2)) (* -2 (asin (sqrt (+ (* x -1/2) 1/2))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (/.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (*.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (+ (* x -1/2) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) (asin.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))) (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))) (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))) (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 binary64))))) (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))))))))))
#s(approx (sqrt (- 1 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (sqrt (- 1 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))))))
#s(approx (sqrt (- 1 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (sqrt (- 1 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (- 1 x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
Calls

3 calls:

TimeVariablePoint
7.0ms
x
inf
4.0ms
x
-inf
4.0ms
x
0

rewrite270.0ms (4.3%)

Memory
-6.7MiB live, 253.0MiB allocated; 159ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040257
072234
1329222
21427222
04024215
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
38 → 1 586
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (neg.f64 (acos.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))
(PI.f64)
#s(literal 2 binary64)
(+.f64 (PI.f64) (*.f64 (neg.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 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
x
#s(literal -1/2 binary64)
#s(literal 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))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(literal -2 binary64)
(asin.f64 (sqrt.f64 (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 1/2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(pow.f64 (PI.f64) #s(literal 2/3 binary64))
#s(literal 2/3 binary64)
(*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))
(cbrt.f64 (PI.f64))
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64)))) (*.f64 (PI.f64) (PI.f64))) (+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64))) (PI.f64)))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) (-.f64 (*.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64))) (fma.f64 (PI.f64) (PI.f64) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64))) (PI.f64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64))) (*.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64)))) (+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 (-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) (fma.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #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))) (*.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64)) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64)) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64))))))
(neg.f64 (-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64))))
(neg.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64) (-.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(fma.f64 (/.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal -2 binary64)) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)))
(fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)))
(fma.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)))
(fma.f64 (/.f64 (PI.f64) #s(literal 1 binary64)) #s(literal 1/2 binary64) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)))
(fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64)) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)))
(fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)))
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(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2/3 binary64)))
#s(literal 2/3 binary64)
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 1/9 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 1/9 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64)))
(/.f64 (neg.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64)))) #s(literal -2 binary64))
(/.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (cbrt.f64 (PI.f64))) #s(literal -2 binary64))
(/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 8/3 binary64)) #s(literal 1/9 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/9 binary64)))
(*.f64 (pow.f64 (PI.f64) (/.f64 #s(literal 1/3 binary64) #s(literal 2 binary64))) (pow.f64 (PI.f64) (/.f64 #s(literal 1/3 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/9 binary64)) (pow.f64 (PI.f64) #s(literal 2/9 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) (pow.f64 (PI.f64) #s(literal 1/9 binary64)))
(pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/9 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64))
(pow.f64 (PI.f64) #s(literal 1/3 binary64))
(cbrt.f64 (PI.f64))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) #s(literal 1/9 binary64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/3 binary64)))

eval270.0ms (4.3%)

Memory
7.0MiB live, 452.0MiB allocated; 145ms collecting garbage
Compiler

Compiled 52 499 to 6 038 computations (88.5% saved)

prune108.0ms (1.7%)

Memory
-49.8MiB live, 133.4MiB allocated; 87ms collecting garbage
Pruning

28 alts after pruning (28 fresh and 0 done)

PrunedKeptTotal
New1 683231 706
Fresh358
Picked505
Done000
Total1 691281 719
Accuracy
11.6%
Counts
1 719 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.0%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
▶8.4%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
8.5%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 824491934883991/1125899906842624 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
8.4%
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 binary64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
▶8.3%
(fma.f64 #s(literal 4830176796763987/2251799813685248 binary64) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
9.6%
(/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64))) (fma.f64 (PI.f64) (PI.f64) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64))) (PI.f64)))))
9.8%
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64)) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64))))))
8.5%
(/.f64 (-.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
9.7%
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64)))) (*.f64 (PI.f64) (PI.f64))) (+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64))) (PI.f64)))
4.3%
(/.f64 (-.f64 (*.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))) (+.f64 (acos.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))))))
5.3%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
8.0%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (neg.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))) #s(literal 2 binary64))))
4.0%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
▶8.5%
(-.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
4.3%
(-.f64 (acos.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)))))
▶9.8%
(-.f64 #s(literal 884279719003555/562949953421312 binary64) (+.f64 (PI.f64) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
8.1%
(-.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
8.5%
(-.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
▶4.3%
(-.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
8.4%
(*.f64 (fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
8.5%
(*.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)) (/.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
8.4%
(*.f64 (fma.f64 (/.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal -1/4 binary64) #s(literal 1 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
8.4%
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (*.f64 #s(literal -1/2 binary64) (PI.f64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
8.5%
(*.f64 (-.f64 (/.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64))) (/.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 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 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
8.5%
(*.f64 (-.f64 #s(literal 1 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 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
9.7%
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))
8.5%
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
8.0%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))) (*.f64 #s(literal -2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
Compiler

Compiled 1 490 to 846 computations (43.2% saved)

sample1.0ms (0.0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
884279719003555/562949953421312
(PI)
-1/2
1/2
2
4830176796763987/2251799813685248
(* (cbrt (PI)) 1/2)
(cbrt (PI))
-2
(pow (PI) 2/3)
2/3
Outputs
#s(literal 884279719003555/562949953421312 binary64)
#s(literal 884279719003555/281474976710656 binary64)
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal 4830176796763987/2251799813685248 binary64)
#s(literal 824491934883991/1125899906842624 binary64)
#s(literal 824491934883991/562949953421312 binary64)
#s(literal -2 binary64)
#s(literal 4830176796763987/2251799813685248 binary64)
#s(literal 6004799503160661/9007199254740992 binary64)
Samples
0.0ms1×0valid
Compiler

Compiled 19 to 14 computations (26.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series31.0ms (0.5%)

Memory
40.8MiB live, 40.8MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03792197
Stop Event
1×iter-limit
Counts
35 → 70
Calls
Call 1
Inputs
(-.f64 #s(literal 884279719003555/562949953421312 binary64) (+.f64 (PI.f64) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
#s(literal 884279719003555/562949953421312 binary64)
(+.f64 (PI.f64) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(PI.f64)
(*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
x
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(-.f64 #s(literal 884279719003555/562949953421312 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 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 4830176796763987/2251799813685248 binary64) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
#s(literal 4830176796763987/2251799813685248 binary64)
(*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))
(cbrt.f64 (PI.f64))
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(literal -2 binary64)
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
(pow.f64 (PI.f64) #s(literal 2/3 binary64))
#s(literal 2/3 binary64)
(*.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))
(asin.f64 (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(sqrt.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))
Outputs
#s(approx (- 884279719003555/562949953421312 (+ (PI) (* (neg (acos (sqrt (+ (* x -1/2) 1/2)))) 2))) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))))
#s(approx (+ (PI) (* (neg (acos (sqrt (+ (* x -1/2) 1/2)))) 2)) (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
#s(approx (* (neg (acos (sqrt (+ (* x -1/2) 1/2)))) 2) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
#s(approx (neg (acos (sqrt (+ (* x -1/2) 1/2)))) (*.f64 #s(literal -1 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
#s(approx (acos (sqrt (+ (* x -1/2) 1/2))) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/128 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (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) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx x x)
#s(approx (- 884279719003555/562949953421312 (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))
#s(approx (- (acos (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2)))) (-.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
#s(approx (asin (sqrt (+ (* x -1/2) 1/2))) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
#s(approx (+ (* 4830176796763987/2251799813685248 (* (cbrt (PI)) 1/2)) (* -2 (asin (sqrt (+ (* x -1/2) 1/2))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (*.f64 #s(literal 4830176796763987/4503599627370496 binary64) (cbrt.f64 (PI.f64)))))
#s(approx (* -2 (asin (sqrt (+ (* x -1/2) 1/2)))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
#s(approx (+ (* (pow (PI) 2/3) (* (cbrt (PI)) 1/2)) (* -2 (asin (* (sqrt (sqrt (+ (* -1/2 x) 1/2))) (sqrt (sqrt (+ (* -1/2 x) 1/2))))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (* -2 (asin (* (sqrt (sqrt (+ (* -1/2 x) 1/2))) (sqrt (sqrt (+ (* -1/2 x) 1/2)))))) (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)))))
#s(approx (asin (* (sqrt (sqrt (+ (* -1/2 x) 1/2))) (sqrt (sqrt (+ (* -1/2 x) 1/2))))) (asin.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64))))
#s(approx (* (sqrt (sqrt (+ (* -1/2 x) 1/2))) (sqrt (sqrt (+ (* -1/2 x) 1/2)))) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
#s(approx (* (sqrt (sqrt (+ (* -1/2 x) 1/2))) (sqrt (sqrt (+ (* -1/2 x) 1/2)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))))
#s(approx (* (sqrt (sqrt (+ (* -1/2 x) 1/2))) (sqrt (sqrt (+ (* -1/2 x) 1/2)))) (fma.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))))
#s(approx (* (sqrt (sqrt (+ (* -1/2 x) 1/2))) (sqrt (sqrt (+ (* -1/2 x) 1/2)))) (fma.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (fma.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (*.f64 x (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))))))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))))
#s(approx (sqrt (sqrt (+ (* -1/2 x) 1/2))) (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (sqrt (+ (* -1/2 x) 1/2))) (+.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))))
#s(approx (sqrt (sqrt (+ (* -1/2 x) 1/2))) (+.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (fma.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))))))
#s(approx (sqrt (sqrt (+ (* -1/2 x) 1/2))) (+.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (fma.f64 #s(literal 1/8 binary64) (/.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64)))))) (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))))))
#s(approx (- 884279719003555/562949953421312 (+ (PI) (* (neg (acos (sqrt (+ (* x -1/2) 1/2)))) 2))) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))))
#s(approx (+ (PI) (* (neg (acos (sqrt (+ (* x -1/2) 1/2)))) 2)) (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))))
#s(approx (* (neg (acos (sqrt (+ (* x -1/2) 1/2)))) 2) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
#s(approx (neg (acos (sqrt (+ (* x -1/2) 1/2)))) (*.f64 #s(literal -1 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
#s(approx (acos (sqrt (+ (* x -1/2) 1/2))) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (/.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (*.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (+ (* x -1/2) 1/2) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (+ (* x -1/2) 1/2) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
#s(approx (- (acos (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2)))) (-.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
#s(approx (asin (sqrt (+ (* x -1/2) 1/2))) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (+ (* 4830176796763987/2251799813685248 (* (cbrt (PI)) 1/2)) (* -2 (asin (sqrt (+ (* x -1/2) 1/2))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 #s(literal 4830176796763987/4503599627370496 binary64) (cbrt.f64 (PI.f64)))))
#s(approx (* -2 (asin (sqrt (+ (* x -1/2) 1/2)))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
#s(approx (+ (* (pow (PI) 2/3) (* (cbrt (PI)) 1/2)) (* -2 (asin (* (sqrt (sqrt (+ (* -1/2 x) 1/2))) (sqrt (sqrt (+ (* -1/2 x) 1/2))))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (* -2 (asin (* (sqrt (sqrt (+ (* -1/2 x) 1/2))) (sqrt (sqrt (+ (* -1/2 x) 1/2)))))) (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))))
#s(approx (asin (* (sqrt (sqrt (+ (* -1/2 x) 1/2))) (sqrt (sqrt (+ (* -1/2 x) 1/2))))) (asin.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))))
#s(approx (* (sqrt (sqrt (+ (* -1/2 x) 1/2))) (sqrt (sqrt (+ (* -1/2 x) 1/2)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) x)) #s(literal 2 binary64))))
#s(approx (* (sqrt (sqrt (+ (* -1/2 x) 1/2))) (sqrt (sqrt (+ (* -1/2 x) 1/2)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) x)) #s(literal 2 binary64)))))
#s(approx (* (sqrt (sqrt (+ (* -1/2 x) 1/2))) (sqrt (sqrt (+ (* -1/2 x) 1/2)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) x)) #s(literal 2 binary64))) (/.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)))))))
#s(approx (sqrt (sqrt (+ (* -1/2 x) 1/2))) (*.f64 x (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) x))))
#s(approx (sqrt (sqrt (+ (* -1/2 x) 1/2))) (*.f64 x (+.f64 (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) x)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) x)))))))))
#s(approx (sqrt (sqrt (+ (* -1/2 x) 1/2))) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) x)))))) (/.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) x))))))))
#s(approx (sqrt (sqrt (+ (* -1/2 x) 1/2))) (*.f64 x (+.f64 (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) x)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) x)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) x)))))) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) x)))))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (/.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (*.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (+ (* x -1/2) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- 884279719003555/562949953421312 (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))
#s(approx (* (sqrt (sqrt (+ (* -1/2 x) 1/2))) (sqrt (sqrt (+ (* -1/2 x) 1/2)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) x))) #s(literal 2 binary64))))
#s(approx (* (sqrt (sqrt (+ (* -1/2 x) 1/2))) (sqrt (sqrt (+ (* -1/2 x) 1/2)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) x))) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))))))
#s(approx (* (sqrt (sqrt (+ (* -1/2 x) 1/2))) (sqrt (sqrt (+ (* -1/2 x) 1/2)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)))))) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) x))) #s(literal 2 binary64)))))
#s(approx (sqrt (sqrt (+ (* -1/2 x) 1/2))) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) x))))))
#s(approx (sqrt (sqrt (+ (* -1/2 x) 1/2))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) x))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) x))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))))))))
#s(approx (sqrt (sqrt (+ (* -1/2 x) 1/2))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) x))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) x))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) x))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64))))))) (pow.f64 x #s(literal 3 binary64))))))))
#s(approx (sqrt (sqrt (+ (* -1/2 x) 1/2))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) x))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/128 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) x))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))))) (/.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) x))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)))))) (pow.f64 x #s(literal 3 binary64))))))))
Calls

3 calls:

TimeVariablePoint
7.0ms
x
0
4.0ms
x
-inf
4.0ms
x
inf

rewrite143.0ms (2.3%)

Memory
-10.3MiB live, 222.8MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038244
068207
1327198
21146198
04173192
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
35 → 1 072
Calls
Call 1
Inputs
(-.f64 #s(literal 884279719003555/562949953421312 binary64) (+.f64 (PI.f64) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
#s(literal 884279719003555/562949953421312 binary64)
(+.f64 (PI.f64) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(PI.f64)
(*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
x
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(-.f64 #s(literal 884279719003555/562949953421312 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 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 4830176796763987/2251799813685248 binary64) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
#s(literal 4830176796763987/2251799813685248 binary64)
(*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))
(cbrt.f64 (PI.f64))
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(literal -2 binary64)
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
(pow.f64 (PI.f64) #s(literal 2/3 binary64))
#s(literal 2/3 binary64)
(*.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))
(asin.f64 (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(sqrt.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))
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64)))) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 884279719003555/562949953421312 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (PI.f64)))) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (PI.f64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (PI.f64)) #s(literal 884279719003555/562949953421312 binary64))) #s(literal 884279719003555/562949953421312 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64)))) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 884279719003555/562949953421312 binary64))) #s(literal 884279719003555/562949953421312 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64)) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64))) (*.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) (-.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (PI.f64)) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (PI.f64))) (*.f64 #s(literal 884279719003555/562949953421312 binary64) #s(literal 884279719003555/562949953421312 binary64))) (-.f64 (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (PI.f64)) #s(literal 884279719003555/562949953421312 binary64)))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (*.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) (PI.f64))) (+.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (PI.f64)))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64)) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (*.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (PI.f64)) #s(literal 3 binary64)) (pow.f64 #s(literal 884279719003555/562949953421312 binary64) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (PI.f64)) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (PI.f64)) (-.f64 (*.f64 #s(literal 884279719003555/562949953421312 binary64) #s(literal 884279719003555/562949953421312 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (PI.f64)) #s(literal 884279719003555/562949953421312 binary64)))))
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(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) x))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (+.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (+.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (-.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 #s(literal -1/2 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) x) (fma.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(neg.f64 (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (neg.f64 (sqrt.f64 (*.f64 (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)))))))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 (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))))) (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) #s(literal -2 binary64)))
(neg.f64 (*.f64 (neg.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)))))
(neg.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 x) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x x) #s(literal 4 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(sqrt.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(fabs.f64 (*.f64 (neg.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)))))
(fabs.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fabs.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64)))
(fabs.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))

eval284.0ms (4.5%)

Memory
6.3MiB live, 373.7MiB allocated; 65ms collecting garbage
Compiler

Compiled 34 434 to 4 729 computations (86.3% saved)

prune81.0ms (1.3%)

Memory
2.4MiB live, 156.2MiB allocated; 50ms collecting garbage
Pruning

28 alts after pruning (27 fresh and 1 done)

PrunedKeptTotal
New1 302181 320
Fresh14923
Picked415
Done000
Total1 320281 348
Accuracy
11.6%
Counts
1 348 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.4%
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 binary64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
8.3%
(fma.f64 (cbrt.f64 (PI.f64)) #s(literal 4830176796763987/4503599627370496 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
▶4.3%
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) #s(literal 884279719003555/562949953421312 binary64))
▶9.8%
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64)))
8.0%
(fma.f64 #s(literal 4830176796763987/2251799813685248 binary64) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
8.4%
(fma.f64 #s(literal 4830176796763987/2251799813685248 binary64) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
8.5%
(fma.f64 #s(literal 4830176796763987/2251799813685248 binary64) #s(literal 824491934883991/1125899906842624 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
9.6%
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 3 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (fma.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (fma.f64 (PI.f64) (PI.f64) (*.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (PI.f64)))))
8.5%
(/.f64 (-.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
9.8%
(/.f64 (-.f64 (pow.f64 #s(literal 884279719003555/562949953421312 binary64) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 3 binary64))) (fma.f64 #s(literal 884279719003555/562949953421312 binary64) #s(literal 884279719003555/562949953421312 binary64) (fma.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (*.f64 #s(literal 884279719003555/562949953421312 binary64) (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64))))))
9.7%
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (*.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) (PI.f64))) (+.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (PI.f64)))
▶4.3%
(/.f64 (-.f64 (*.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))) (+.f64 (acos.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))))))
4.0%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
8.4%
(-.f64 (-.f64 (PI.f64) (acos.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
▶9.7%
(-.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
✓8.5%
(-.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
4.3%
(-.f64 (acos.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)))))
5.3%
(-.f64 #s(literal 884279719003555/562949953421312 binary64) (+.f64 (PI.f64) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
8.0%
(-.f64 #s(literal 884279719003555/562949953421312 binary64) (+.f64 (PI.f64) (*.f64 (neg.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))) #s(literal 2 binary64))))
8.5%
(-.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal 2 binary64) #s(approx (asin (sqrt (/ (- 1 x) 2))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
8.5%
(*.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)) (/.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
8.4%
(*.f64 (fma.f64 (/.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal -1/4 binary64) #s(literal 1 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
8.4%
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (*.f64 #s(literal -1/2 binary64) (PI.f64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
▶9.8%
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 884279719003555/562949953421312 binary64))) #s(literal 884279719003555/562949953421312 binary64))
8.2%
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.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 4830176796763987/4503599627370496 binary64) (cbrt.f64 (PI.f64))))) (*.f64 #s(literal 4830176796763987/4503599627370496 binary64) (cbrt.f64 (PI.f64))))
9.7%
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64)))) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64)))
8.5%
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
8.5%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
Compiler

Compiled 1 359 to 820 computations (39.7% saved)

sample0.0ms (0.0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
-1/2
1/2
2
(- 884279719003555/562949953421312 (PI))
884279719003555/562949953421312
(PI)
-2
1
(* 1/2 (PI))
Outputs
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal -7074237752028441/4503599627370496 binary64)
#s(literal 884279719003555/562949953421312 binary64)
#s(literal 884279719003555/281474976710656 binary64)
#s(literal -2 binary64)
#s(literal 1 binary64)
#s(literal 884279719003555/562949953421312 binary64)
Samples
0.0ms1×0valid
Compiler

Compiled 15 to 11 computations (26.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series29.0ms (0.5%)

Memory
13.9MiB live, 60.0MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02271519
Stop Event
1×iter-limit
Counts
35 → 54
Calls
Call 1
Inputs
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64)))
(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)
#s(literal 2 binary64)
(-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64))
#s(literal 884279719003555/562949953421312 binary64)
(PI.f64)
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) #s(literal 884279719003555/562949953421312 binary64))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))
#s(literal -2 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 884279719003555/562949953421312 binary64))) #s(literal 884279719003555/562949953421312 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 884279719003555/562949953421312 binary64)))
#s(literal 1 binary64)
(/.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 884279719003555/562949953421312 binary64))
(fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64))
(-.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(-.f64 #s(literal 1 binary64) (/.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(/.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(/.f64 (-.f64 (*.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(-.f64 (*.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(*.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))
(acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))
(*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))
(+.f64 (acos.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)))))
Outputs
#s(approx (+ (* (acos (sqrt (+ (* -1/2 x) 1/2))) 2) (- 884279719003555/562949953421312 (PI))) (-.f64 (+.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (PI.f64)))
#s(approx (acos (sqrt (+ (* -1/2 x) 1/2))) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/128 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (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) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx x x)
#s(approx (+ (* (asin (sqrt (/ (- 1 x) 2))) -2) 884279719003555/562949953421312) (+.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))
#s(approx (* (- 1 (/ (+ (* -2 (acos (sqrt (+ (* -1/2 x) 1/2)))) (PI)) 884279719003555/562949953421312)) 884279719003555/562949953421312) (*.f64 #s(literal 884279719003555/562949953421312 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 562949953421312/884279719003555 binary64) (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))))))
#s(approx (- 1 (/ (+ (* -2 (acos (sqrt (+ (* -1/2 x) 1/2)))) (PI)) 884279719003555/562949953421312)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 562949953421312/884279719003555 binary64) (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))))
#s(approx (/ (+ (* -2 (acos (sqrt (+ (* -1/2 x) 1/2)))) (PI)) 884279719003555/562949953421312) (*.f64 #s(literal 562949953421312/884279719003555 binary64) (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))))
#s(approx (+ (* -2 (acos (sqrt (+ (* -1/2 x) 1/2)))) (PI)) (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
#s(approx (- (acos (sqrt (+ (* x -1/2) 1/2))) (* (- 1 (/ (acos (sqrt (+ (* -1/2 x) 1/2))) (* 1/2 (PI)))) (* 1/2 (PI)))) (-.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (PI.f64))))))))
#s(approx (* (- 1 (/ (acos (sqrt (+ (* -1/2 x) 1/2))) (* 1/2 (PI)))) (* 1/2 (PI))) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (PI.f64)))))))
#s(approx (- 1 (/ (acos (sqrt (+ (* -1/2 x) 1/2))) (* 1/2 (PI)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (PI.f64)))))
#s(approx (/ (acos (sqrt (+ (* -1/2 x) 1/2))) (* 1/2 (PI))) (*.f64 #s(literal 2 binary64) (/.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (PI.f64))))
#s(approx (/ (- (* (acos (sqrt (/ (- 1 x) 2))) (acos (sqrt (/ (- 1 x) 2)))) (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2))))) (+ (acos (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (-.f64 (pow.f64 (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (+.f64 (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
#s(approx (- (* (acos (sqrt (/ (- 1 x) 2))) (acos (sqrt (/ (- 1 x) 2)))) (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2))))) (-.f64 (pow.f64 (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))
#s(approx (* (acos (sqrt (/ (- 1 x) 2))) (acos (sqrt (/ (- 1 x) 2)))) (pow.f64 (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
#s(approx (acos (sqrt (/ (- 1 x) 2))) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))
#s(approx (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
#s(approx (+ (acos (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) (+.f64 (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))
#s(approx (+ (* (acos (sqrt (+ (* -1/2 x) 1/2))) 2) (- 884279719003555/562949953421312 (PI))) (-.f64 (+.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (PI.f64)))
#s(approx (acos (sqrt (+ (* -1/2 x) 1/2))) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (/.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (*.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (+ (* -1/2 x) 1/2) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (+ (* -1/2 x) 1/2) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
#s(approx (* (- 1 (/ (+ (* -2 (acos (sqrt (+ (* -1/2 x) 1/2)))) (PI)) 884279719003555/562949953421312)) 884279719003555/562949953421312) (*.f64 #s(literal 884279719003555/562949953421312 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 562949953421312/884279719003555 binary64) (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))))))
#s(approx (- 1 (/ (+ (* -2 (acos (sqrt (+ (* -1/2 x) 1/2)))) (PI)) 884279719003555/562949953421312)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 562949953421312/884279719003555 binary64) (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))))))
#s(approx (/ (+ (* -2 (acos (sqrt (+ (* -1/2 x) 1/2)))) (PI)) 884279719003555/562949953421312) (*.f64 #s(literal 562949953421312/884279719003555 binary64) (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))))
#s(approx (+ (* -2 (acos (sqrt (+ (* -1/2 x) 1/2)))) (PI)) (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))))
#s(approx (- (acos (sqrt (+ (* x -1/2) 1/2))) (* (- 1 (/ (acos (sqrt (+ (* -1/2 x) 1/2))) (* 1/2 (PI)))) (* 1/2 (PI)))) (-.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (PI.f64))))))))
#s(approx (* (- 1 (/ (acos (sqrt (+ (* -1/2 x) 1/2))) (* 1/2 (PI)))) (* 1/2 (PI))) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (PI.f64)))))))
#s(approx (- 1 (/ (acos (sqrt (+ (* -1/2 x) 1/2))) (* 1/2 (PI)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (PI.f64)))))
#s(approx (/ (acos (sqrt (+ (* -1/2 x) 1/2))) (* 1/2 (PI))) (*.f64 #s(literal 2 binary64) (/.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (PI.f64))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (/.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (*.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (+ (* -1/2 x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (+ (* (asin (sqrt (/ (- 1 x) 2))) -2) 884279719003555/562949953421312) (+.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))
#s(approx (/ (- (* (acos (sqrt (/ (- 1 x) 2))) (acos (sqrt (/ (- 1 x) 2)))) (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2))))) (+ (acos (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (-.f64 (pow.f64 (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))) #s(literal 2 binary64))) (+.f64 (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))))
#s(approx (- (* (acos (sqrt (/ (- 1 x) 2))) (acos (sqrt (/ (- 1 x) 2)))) (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2))))) (-.f64 (pow.f64 (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))) #s(literal 2 binary64))))
#s(approx (* (acos (sqrt (/ (- 1 x) 2))) (acos (sqrt (/ (- 1 x) 2)))) (pow.f64 (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))) #s(literal 2 binary64)))
#s(approx (acos (sqrt (/ (- 1 x) 2))) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))
#s(approx (* (asin (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))) #s(literal 2 binary64)))
#s(approx (+ (acos (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) (+.f64 (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))))
Calls

3 calls:

TimeVariablePoint
9.0ms
x
inf
5.0ms
x
0
5.0ms
x
-inf

rewrite231.0ms (3.7%)

Memory
8.5MiB live, 334.3MiB allocated; 39ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037364
069300
1396275
21642275
04556252
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
35 → 1 495
Calls
Call 1
Inputs
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64)))
(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)
#s(literal 2 binary64)
(-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64))
#s(literal 884279719003555/562949953421312 binary64)
(PI.f64)
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) #s(literal 884279719003555/562949953421312 binary64))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))
#s(literal -2 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 884279719003555/562949953421312 binary64))) #s(literal 884279719003555/562949953421312 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 884279719003555/562949953421312 binary64)))
#s(literal 1 binary64)
(/.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 884279719003555/562949953421312 binary64))
(fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64))
(-.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(-.f64 #s(literal 1 binary64) (/.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(/.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(/.f64 (-.f64 (*.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(-.f64 (*.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(*.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))
(acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))
(*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))
(+.f64 (acos.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)))))
Outputs
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal -562949953421312/884279719003555 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 884279719003555/1125899906842624 binary64))
(*.f64 #s(literal 884279719003555/281474976710656 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal -562949953421312/884279719003555 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64)))) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 884279719003555/562949953421312 binary64)))) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 884279719003555/562949953421312 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (PI.f64) #s(literal 884279719003555/562949953421312 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(*.f64 (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64))) #s(literal 1 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal -562949953421312/884279719003555 binary64) #s(literal 1 binary64)) #s(literal 884279719003555/562949953421312 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64))))
(*.f64 #s(literal 884279719003555/562949953421312 binary64) (fma.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal -562949953421312/884279719003555 binary64) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64))) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal -884279719003555/562949953421312 binary64) (neg.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))) #s(literal 884279719003555/562949953421312 binary64)) #s(literal -884279719003555/562949953421312 binary64))
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64)))) #s(literal 884279719003555/562949953421312 binary64)) #s(literal -884279719003555/562949953421312 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 884279719003555/562949953421312 binary64) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64))))) #s(literal 884279719003555/562949953421312 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64))) #s(literal 884279719003555/562949953421312 binary64))) #s(literal 884279719003555/562949953421312 binary64))
(/.f64 (*.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal 884279719003555/562949953421312 binary64) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64))))) #s(literal 781950621441006189802102638025/316912650057057350374175801344 binary64))
(/.f64 (*.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64))) #s(literal 884279719003555/562949953421312 binary64))) #s(literal 781950621441006189802102638025/316912650057057350374175801344 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 884279719003555/562949953421312 binary64) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64))))) #s(literal 884279719003555/281474976710656 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64))) #s(literal 884279719003555/562949953421312 binary64))) #s(literal 884279719003555/281474976710656 binary64))
(/.f64 (*.f64 #s(literal 884279719003555/562949953421312 binary64) (-.f64 #s(literal -884279719003555/562949953421312 binary64) (neg.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) #s(literal -884279719003555/562949953421312 binary64))
(/.f64 (*.f64 #s(literal 884279719003555/562949953421312 binary64) (neg.f64 (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64))))) #s(literal -884279719003555/562949953421312 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 884279719003555/562949953421312 binary64) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64))))) #s(literal -884279719003555/562949953421312 binary64))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64))) #s(literal 884279719003555/562949953421312 binary64))) #s(literal -884279719003555/562949953421312 binary64))
(/.f64 (*.f64 #s(literal 884279719003555/562949953421312 binary64) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64)))) #s(literal 884279719003555/562949953421312 binary64))
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64))) #s(literal 884279719003555/562949953421312 binary64)) #s(literal 884279719003555/562949953421312 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64)) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64))) (*.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (-.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 884279719003555/562949953421312 binary64)) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 884279719003555/562949953421312 binary64))) (*.f64 (PI.f64) (PI.f64))) (+.f64 (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 884279719003555/562949953421312 binary64)) (PI.f64)))
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(fma.f64 (/.f64 (PI.f64) #s(literal 1 binary64)) #s(literal 1/2 binary64) (asin.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(fma.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1 binary64)) (asin.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1/2 binary64) (asin.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
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(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))
(+.f64 (/.f64 (-.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))
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(*.f64 (neg.f64 (neg.f64 (fabs.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))) (neg.f64 (neg.f64 (fabs.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))))
(*.f64 (pow.f64 (fabs.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (pow.f64 (fabs.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (fabs.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(*.f64 (pow.f64 (asin.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (pow.f64 (asin.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (asin.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (asin.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))) (neg.f64 (fabs.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))
(*.f64 (fabs.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))) (fabs.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(*.f64 (asin.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))) (asin.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))
(pow.f64 (neg.f64 (fabs.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(pow.f64 (asin.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(pow.f64 (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(/.f64 (pow.f64 (fabs.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (pow.f64 (fabs.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(/.f64 (pow.f64 (asin.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (pow.f64 (asin.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(/.f64 (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (asin.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(neg.f64 (*.f64 (asin.f64 (neg.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 (*.f64 (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))))
(fabs.f64 (*.f64 (asin.f64 (neg.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))))))
(fabs.f64 (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(exp.f64 (*.f64 (log.f64 (fabs.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (asin.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(+.f64 (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.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 (/ (- 1 x) 2) #s(literal 1/2 binary64))))))) (*.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (asin.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))) (*.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (asin.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))) (*.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))))
(/.f64 (*.f64 (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))) (-.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))) (-.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (-.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))) (-.f64 (acos.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))))))
(neg.f64 (-.f64 (asin.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))
(-.f64 (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))
(-.f64 (+.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))
(-.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (asin.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (asin.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))))
(-.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (neg.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))
(+.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))

eval264.0ms (4.2%)

Memory
-15.4MiB live, 539.6MiB allocated; 110ms collecting garbage
Compiler

Compiled 56 152 to 6 298 computations (88.8% saved)

prune59.0ms (0.9%)

Memory
44.9MiB live, 138.1MiB allocated; 7ms collecting garbage
Pruning

29 alts after pruning (26 fresh and 3 done)

PrunedKeptTotal
New1 630171 647
Fresh13922
Picked325
Done011
Total1 646291 675
Accuracy
11.7%
Counts
1 675 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.5%
(fma.f64 (*.f64 (/.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 1 binary64)) (neg.f64 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
8.5%
(fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 #s(literal 2 binary64) (PI.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)))))
8.3%
(fma.f64 (cbrt.f64 (PI.f64)) #s(literal 4830176796763987/4503599627370496 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
✓4.3%
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) #s(literal 884279719003555/562949953421312 binary64))
✓9.8%
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64)))
8.3%
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) #s(literal -7074237752028441/4503599627370496 binary64))
5.3%
(fma.f64 (acos.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64)))
8.5%
(fma.f64 #s(approx (asin (sqrt (/ (- 1 x) 2))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal -2 binary64) #s(literal 884279719003555/562949953421312 binary64))
8.0%
(fma.f64 #s(literal 4830176796763987/2251799813685248 binary64) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
8.5%
(fma.f64 #s(literal 4830176796763987/2251799813685248 binary64) #s(literal 824491934883991/1125899906842624 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
9.8%
(/.f64 (-.f64 (pow.f64 #s(literal 884279719003555/562949953421312 binary64) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 3 binary64))) (fma.f64 #s(literal 884279719003555/562949953421312 binary64) #s(literal 884279719003555/562949953421312 binary64) (fma.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)) (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)) (*.f64 #s(literal 884279719003555/562949953421312 binary64) (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))
9.7%
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 884279719003555/562949953421312 binary64)) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 884279719003555/562949953421312 binary64))) (*.f64 (PI.f64) (PI.f64))) (+.f64 (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 884279719003555/562949953421312 binary64)) (PI.f64)))
4.0%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
8.4%
(-.f64 (-.f64 (PI.f64) (acos.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
8.5%
(-.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (log.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
✓8.5%
(-.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
4.3%
(-.f64 (acos.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)))))
8.5%
(*.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal -562949953421312/884279719003555 binary64) #s(literal 1 binary64)) #s(literal 884279719003555/562949953421312 binary64))
8.5%
(*.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)) (/.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
8.4%
(*.f64 (fma.f64 (/.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal -1/4 binary64) #s(literal 1 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
8.4%
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (*.f64 #s(literal -1/2 binary64) (PI.f64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
8.2%
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 884279719003555/562949953421312 binary64) #s(literal -781950621441006189802102638025/316912650057057350374175801344 binary64)) #s(literal -781950621441006189802102638025/316912650057057350374175801344 binary64)) #s(literal 884279719003555/562949953421312 binary64))
9.8%
(*.f64 (/.f64 (-.f64 #s(literal 691463075802508163054686763366652189853178875/178405961588244985132285746181186892047843328 binary64) (*.f64 #s(literal 884279719003555/562949953421312 binary64) (fma.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 884279719003555/562949953421312 binary64) (*.f64 (PI.f64) #s(literal 884279719003555/562949953421312 binary64))))) #s(literal 691463075802508163054686763366652189853178875/178405961588244985132285746181186892047843328 binary64)) #s(literal 884279719003555/562949953421312 binary64))
9.7%
(*.f64 (/.f64 (-.f64 #s(literal 781950621441006189802102638025/316912650057057350374175801344 binary64) (*.f64 #s(literal 884279719003555/562949953421312 binary64) (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))) #s(literal 781950621441006189802102638025/316912650057057350374175801344 binary64)) #s(literal 884279719003555/562949953421312 binary64))
9.8%
(*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -1125899906842624/884279719003555 binary64) (*.f64 (PI.f64) #s(literal 562949953421312/884279719003555 binary64)))) #s(literal 884279719003555/562949953421312 binary64))
8.0%
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 #s(approx (sqrt (+ (* -1/2 x) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))) (PI.f64)) #s(literal 884279719003555/562949953421312 binary64))) #s(literal 884279719003555/562949953421312 binary64))
9.7%
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (PI.f64) #s(literal 884279719003555/562949953421312 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
9.7%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 562949953421312/884279719003555 binary64))) #s(literal 884279719003555/562949953421312 binary64))
9.8%
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64))) #s(literal 316912650057057350374175801344/781950621441006189802102638025 binary64)) #s(literal 884279719003555/562949953421312 binary64)) #s(literal 884279719003555/562949953421312 binary64))
Compiler

Compiled 547 to 409 computations (25.2% saved)

regimes368.0ms (5.9%)

Memory
-25.6MiB live, 565.2MiB allocated; 171ms collecting garbage
Counts
2 → 1
6 → 1
7 → 1
10 → 1
27 → 1
72 → 1
Calls
Call 1
Inputs
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) #s(literal 884279719003555/562949953421312 binary64))
(-.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
Outputs
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) #s(literal 884279719003555/562949953421312 binary64))
Call 2
Inputs
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) #s(literal 884279719003555/562949953421312 binary64))
(-.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(fma.f64 (acos.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64)))
(-.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 884279719003555/562949953421312 binary64) (+.f64 (PI.f64) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
Outputs
(fma.f64 (acos.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64)))
Call 3
Inputs
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) #s(literal 884279719003555/562949953421312 binary64))
(-.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(fma.f64 (acos.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64)))
(-.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 884279719003555/562949953421312 binary64) (+.f64 (PI.f64) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) #s(literal -7074237752028441/4503599627370496 binary64))
Outputs
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) #s(literal -7074237752028441/4503599627370496 binary64))
Call 4
Inputs
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) #s(literal 884279719003555/562949953421312 binary64))
(-.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(fma.f64 (acos.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64)))
(-.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 884279719003555/562949953421312 binary64) (+.f64 (PI.f64) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) #s(literal -7074237752028441/4503599627370496 binary64))
(fma.f64 #s(approx (asin (sqrt (/ (- 1 x) 2))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal -2 binary64) #s(literal 884279719003555/562949953421312 binary64))
(-.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal 2 binary64) #s(approx (asin (sqrt (/ (- 1 x) 2))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
Outputs
(fma.f64 #s(approx (asin (sqrt (/ (- 1 x) 2))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal -2 binary64) #s(literal 884279719003555/562949953421312 binary64))
Call 5
Inputs
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) #s(literal 884279719003555/562949953421312 binary64))
(-.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(fma.f64 (acos.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64)))
(-.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 884279719003555/562949953421312 binary64) (+.f64 (PI.f64) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) #s(literal -7074237752028441/4503599627370496 binary64))
(fma.f64 #s(approx (asin (sqrt (/ (- 1 x) 2))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal -2 binary64) #s(literal 884279719003555/562949953421312 binary64))
(-.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal 2 binary64) #s(approx (asin (sqrt (/ (- 1 x) 2))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 #s(literal 4830176796763987/2251799813685248 binary64) #s(literal 824491934883991/1125899906842624 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(-.f64 #s(literal 884279719003555/562949953421312 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 884279719003555/562949953421312 binary64) (+.f64 (PI.f64) (*.f64 (neg.f64 (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 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 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 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
(*.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal -562949953421312/884279719003555 binary64) #s(literal 1 binary64)) #s(literal 884279719003555/562949953421312 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 562949953421312/884279719003555 binary64))) #s(literal 884279719003555/562949953421312 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -1125899906842624/884279719003555 binary64) (*.f64 (PI.f64) #s(literal 562949953421312/884279719003555 binary64)))) #s(literal 884279719003555/562949953421312 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 884279719003555/562949953421312 binary64))) #s(literal 884279719003555/562949953421312 binary64))
(-.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 884279719003555/562949953421312 binary64) (+.f64 (PI.f64) (*.f64 (neg.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 884279719003555/562949953421312 binary64) #s(literal -781950621441006189802102638025/316912650057057350374175801344 binary64)) #s(literal -781950621441006189802102638025/316912650057057350374175801344 binary64)) #s(literal 884279719003555/562949953421312 binary64))
Outputs
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64)))
Call 6
Inputs
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) #s(literal 884279719003555/562949953421312 binary64))
(-.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(fma.f64 (acos.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64)))
(-.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 884279719003555/562949953421312 binary64) (+.f64 (PI.f64) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) #s(literal -7074237752028441/4503599627370496 binary64))
(fma.f64 #s(approx (asin (sqrt (/ (- 1 x) 2))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal -2 binary64) #s(literal 884279719003555/562949953421312 binary64))
(-.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal 2 binary64) #s(approx (asin (sqrt (/ (- 1 x) 2))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 #s(literal 4830176796763987/2251799813685248 binary64) #s(literal 824491934883991/1125899906842624 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(-.f64 #s(literal 884279719003555/562949953421312 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 884279719003555/562949953421312 binary64) (+.f64 (PI.f64) (*.f64 (neg.f64 (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 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 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 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
(*.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal -562949953421312/884279719003555 binary64) #s(literal 1 binary64)) #s(literal 884279719003555/562949953421312 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 562949953421312/884279719003555 binary64))) #s(literal 884279719003555/562949953421312 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -1125899906842624/884279719003555 binary64) (*.f64 (PI.f64) #s(literal 562949953421312/884279719003555 binary64)))) #s(literal 884279719003555/562949953421312 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 884279719003555/562949953421312 binary64))) #s(literal 884279719003555/562949953421312 binary64))
(-.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 884279719003555/562949953421312 binary64) (+.f64 (PI.f64) (*.f64 (neg.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 884279719003555/562949953421312 binary64) #s(literal -781950621441006189802102638025/316912650057057350374175801344 binary64)) #s(literal -781950621441006189802102638025/316912650057057350374175801344 binary64)) #s(literal 884279719003555/562949953421312 binary64))
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64))) #s(literal 316912650057057350374175801344/781950621441006189802102638025 binary64)) #s(literal 884279719003555/562949953421312 binary64)) #s(literal 884279719003555/562949953421312 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 781950621441006189802102638025/316912650057057350374175801344 binary64) (*.f64 #s(literal 884279719003555/562949953421312 binary64) (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))) #s(literal 781950621441006189802102638025/316912650057057350374175801344 binary64)) #s(literal 884279719003555/562949953421312 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64)))) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64)))
(-.f64 (-.f64 (PI.f64) (acos.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 (-.f64 #s(literal 1 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 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (neg.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 #s(approx (sqrt (+ (* -1/2 x) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))) (PI.f64)) #s(literal 884279719003555/562949953421312 binary64))) #s(literal 884279719003555/562949953421312 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 691463075802508163054686763366652189853178875/178405961588244985132285746181186892047843328 binary64) (*.f64 #s(literal 884279719003555/562949953421312 binary64) (fma.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 884279719003555/562949953421312 binary64) (*.f64 (PI.f64) #s(literal 884279719003555/562949953421312 binary64))))) #s(literal 691463075802508163054686763366652189853178875/178405961588244985132285746181186892047843328 binary64)) #s(literal 884279719003555/562949953421312 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))
(fma.f64 (cbrt.f64 (PI.f64)) #s(literal 4830176796763987/4503599627370496 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 (*.f64 (/.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 1 binary64)) (neg.f64 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 824491934883991/1125899906842624 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 #s(literal 2 binary64) (PI.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 (fma.f64 (/.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal -1/4 binary64) #s(literal 1 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(fma.f64 #s(literal 4830176796763987/2251799813685248 binary64) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 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 #s(literal 1 binary64) (/.f64 (-.f64 (PI.f64) #s(literal 884279719003555/562949953421312 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(-.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (*.f64 #s(literal -1/2 binary64) (PI.f64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 #s(literal 4830176796763987/2251799813685248 binary64) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(-.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (log.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 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 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (neg.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (acos.f64 (neg.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal 4830176796763987/2251799813685248 binary64) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 (*.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))) (+.f64 (acos.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))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (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 1/2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.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 4830176796763987/4503599627370496 binary64) (cbrt.f64 (PI.f64))))) (*.f64 #s(literal 4830176796763987/4503599627370496 binary64) (cbrt.f64 (PI.f64))))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 884279719003555/562949953421312 binary64)) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 884279719003555/562949953421312 binary64))) (*.f64 (PI.f64) (PI.f64))) (+.f64 (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 884279719003555/562949953421312 binary64)) (PI.f64)))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (*.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) (PI.f64))) (+.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (PI.f64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
(*.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)) (/.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 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 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64)))) (*.f64 (PI.f64) (PI.f64))) (+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64))) (PI.f64)))
(*.f64 (fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64))) #s(literal 1 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 (/.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64))) (/.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 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 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (+.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 binary64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 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 (-.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 3 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (fma.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (fma.f64 (PI.f64) (PI.f64) (*.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (PI.f64)))))
(/.f64 (-.f64 (pow.f64 #s(literal 884279719003555/562949953421312 binary64) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 3 binary64))) (fma.f64 #s(literal 884279719003555/562949953421312 binary64) #s(literal 884279719003555/562949953421312 binary64) (fma.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (*.f64 #s(literal 884279719003555/562949953421312 binary64) (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64))))))
(/.f64 (-.f64 (pow.f64 #s(literal 884279719003555/562949953421312 binary64) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 3 binary64))) (fma.f64 #s(literal 884279719003555/562949953421312 binary64) #s(literal 884279719003555/562949953421312 binary64) (fma.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)) (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)) (*.f64 #s(literal 884279719003555/562949953421312 binary64) (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64))) (fma.f64 (PI.f64) (PI.f64) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64))) (PI.f64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64)) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
Outputs
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 #s(literal 884279719003555/562949953421312 binary64) (PI.f64))) #s(literal 316912650057057350374175801344/781950621441006189802102638025 binary64)) #s(literal 884279719003555/562949953421312 binary64)) #s(literal 884279719003555/562949953421312 binary64))
Calls

42 calls:

55.0ms
x
50.0ms
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
24.0ms
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
17.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
17.0ms
(-.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))))))
Results
AccuracySegmentsBranch
4.3%1(-.f64 #s(literal 1 binary64) x)
4.3%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
4.3%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
4.3%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
4.3%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
4.3%1(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
4.3%1x
5.3%1x
5.3%1(-.f64 #s(literal 1 binary64) x)
5.3%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
5.3%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
5.3%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
5.3%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
5.3%1(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
8.3%1x
8.3%1(-.f64 #s(literal 1 binary64) x)
8.3%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
8.3%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
8.3%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
8.3%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
8.3%1(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
8.5%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))))))
8.5%1(-.f64 #s(literal 1 binary64) x)
8.5%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
8.5%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
8.5%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
8.5%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
8.5%1x
9.8%1(-.f64 #s(literal 1 binary64) x)
9.8%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
9.8%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
9.8%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
9.8%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
9.8%1(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
9.8%1x
9.8%1(-.f64 #s(literal 1 binary64) x)
9.8%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
9.8%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
9.8%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
9.8%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
9.8%1(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
9.8%1x
Compiler

Compiled 1 932 to 577 computations (70.1% saved)

derivations105.0ms (1.7%)

Memory
2.2MiB live, 99.3MiB allocated; 21ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 81 to 47 computations (42.0% saved)

preprocess121.0ms (1.9%)

Memory
-22.2MiB live, 161.2MiB allocated; 35ms collecting garbage
Compiler

Compiled 94 to 58 computations (38.3% saved)

end0.0ms (0.0%)

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

Profiling

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