Ian Simplification

Time bar (total: 28.9s)

analyze4.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%50%0%0%50%0%3
50%25%25%0%0%50%0%4
75%37.5%12.5%0%0%50%0%5
87.5%43.7%6.2%0%0%50%0%6
93.8%46.9%3.1%0%0%50%0%7
96.9%48.4%1.6%0%0%50%0%8
98.4%49.2%0.8%0%0%50%0%9
99.2%49.6%0.4%0%0%50%0%10
99.6%49.8%0.2%0%0%50%0%11
99.8%49.9%0.1%0%0%50%0%12
Compiler

Compiled 15 to 14 computations (6.7% saved)

sample3.5s (12.2%)

Results
2.2s4128×body1024valid
702.0ms2148×body512valid
346.0ms419×body2048valid
294.0ms1561×body256valid
0.0msbody256invalid
Bogosity

preprocess345.0ms (1.2%)

Algorithm
egg-herbie
Rules
712×fma-def
108×cancel-sign-sub-inv
108×sub-neg
96×distribute-lft-neg-in
74×fma-neg
Problems
256×(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
023136
149132
286120
3160112
4273108
5418108
6570108
7712108
8846108
9997108
101111108
111128108
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (neg.f64 x)) 2)))))
Outputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))
(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (/.f64 (PI.f64) 2))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (/.f64 (PI.f64) 2))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (/.f64 (PI.f64) 2))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))
(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (/.f64 (PI.f64) 2))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (/.f64 (PI.f64) 2))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (/.f64 (PI.f64) 2))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (neg.f64 x)) 2)))))
(+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 (neg.f64 x) 2))))))
(+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (+.f64 1 x) 2))) -2))
(fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x 2)))) -2 (/.f64 (PI.f64) 2))
(fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 x)))) -2 (/.f64 (PI.f64) 2))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 1/2 x 1/2))) -2 (/.f64 (PI.f64) 2))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x 1/2 1/2))) -2 (/.f64 (PI.f64) 2))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x 1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x 1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))
Compiler

Compiled 66 to 56 computations (15.2% saved)

eval2.0ms (0%)

Compiler

Compiled 94 to 79 computations (16% saved)

prune4.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
6.8%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
6.8%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
Compiler

Compiled 28 to 26 computations (7.1% saved)

localize298.0ms (1%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
98.5%
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
8.6%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
Compiler

Compiled 52 to 43 computations (17.3% saved)

series4.0ms (0%)

Counts
3 → 28
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
1.0ms
x
@inf
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
1.0ms
x
@inf
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
1.0ms
x
@0
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
0.0ms
x
@-inf
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))

rewrite151.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1153×log1p-expm1-u
1153×expm1-log1p-u
744×fma-def
390×expm1-udef
388×log1p-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01688
122984
2312584
Stop Event
node limit
Counts
3 → 173
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
Outputs
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) 1))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) (fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) (fma.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 2) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) (*.f64 (PI.f64) 1/2))
(*.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)))
(*.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) 1)
(*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) 2) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
(*.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3) 8)) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3) 8))))
(/.f64 1 (/.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3) 8))) (neg.f64 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4))) (neg.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)))
(pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) 3)
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) 2))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)))))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
(fma.f64 (PI.f64) 1/2 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) 1))
(fma.f64 2 (neg.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) 1))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) 1))
(fma.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) (fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(fma.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(fma.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) (fma.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(fma.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 2) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(fma.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(fma.f64 1 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) (*.f64 (PI.f64) 1/2))
(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))
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(fma.f64 (*.f64 (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) (*.f64 (PI.f64) 1/2))
(fma.f64 (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) (*.f64 (PI.f64) 1/2))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (fma.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 2) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 2)) (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 1)
(*.f64 1 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 1)
(*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 2) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (fma.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 1)
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 3)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 2)
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 1))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 (neg.f64 (PI.f64)) -1/2 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 1)
(*.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(*.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))) 1)
(*.f64 (cbrt.f64 (-.f64 1/2 (*.f64 x 1/2))) (cbrt.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (cbrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 1/2 1/2))
(*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (sqrt.f64 2)))
(*.f64 (pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 1/4) (pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 x 1/2))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 x 1/2))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 x 1/2))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))
(/.f64 1 (/.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 1 x))) (sqrt.f64 -2))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 2)))
(pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 1/2)
(pow.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 3/2) 1/3)
(pow.f64 (pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 1/4) 2)
(fabs.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (-.f64 1/2 (*.f64 x 1/2))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))

simplify111.0ms (0.4%)

Algorithm
egg-herbie
Rules
764×unswap-sqr
618×*-commutative
556×distribute-rgt-in
550×distribute-lft-in
448×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035010075
17699567
222329336
Stop Event
node limit
Counts
201 → 224
Calls
Call 1
Inputs
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/2 (*.f64 x (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/2 (*.f64 x (sqrt.f64 1/2))) (*.f64 -1/8 (*.f64 (pow.f64 x 2) (sqrt.f64 1/2)))))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/2 (*.f64 x (sqrt.f64 1/2))) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 x 2) (sqrt.f64 1/2))) (*.f64 -1/16 (*.f64 (pow.f64 x 3) (sqrt.f64 1/2))))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) 1))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) (fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) (fma.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 2) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) (*.f64 (PI.f64) 1/2))
(*.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)))
(*.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) 1)
(*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) 2) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
(*.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
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(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 x 1/2))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 x 1/2))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 x 1/2))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))
(/.f64 1 (/.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 1 x))) (sqrt.f64 -2))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 2)))
(pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 1/2)
(pow.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 3/2) 1/3)
(pow.f64 (pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 1/4) 2)
(fabs.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (-.f64 1/2 (*.f64 x 1/2))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
Outputs
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) -2))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/2 (*.f64 x (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) x)))
(fma.f64 -1/2 (*.f64 (sqrt.f64 1/2) x) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (+.f64 1 (*.f64 x -1/2)))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/2 (*.f64 x (sqrt.f64 1/2))) (*.f64 -1/8 (*.f64 (pow.f64 x 2) (sqrt.f64 1/2)))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 (sqrt.f64 1/2) x) (*.f64 -1/8 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2)))))
(+.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 x -1/2) (*.f64 -1/8 (pow.f64 x 2)))))
(+.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (*.f64 x (+.f64 (*.f64 x -1/8) -1/2))))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/2 (*.f64 x (sqrt.f64 1/2))) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 x 2) (sqrt.f64 1/2))) (*.f64 -1/16 (*.f64 (pow.f64 x 3) (sqrt.f64 1/2))))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 (sqrt.f64 1/2) x) (fma.f64 -1/8 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (*.f64 -1/16 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))))))
(+.f64 (fma.f64 -1/2 (*.f64 (sqrt.f64 1/2) x) (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 -1/16 (pow.f64 x 3)))))
(+.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 x -1/2) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 x -1/16) -1/8)))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) 1))
(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) (fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) (fma.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 2) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) (*.f64 (PI.f64) 1/2))
(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))
(*.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)))
(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))
(*.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) 1)
(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))
(*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) 2))
(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) 2) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))
(*.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3) 8)) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3) 8)) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 1/2 (PI.f64))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 1/2 (PI.f64))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 4 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2))))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) 4)) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 1/2 (PI.f64)))))
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(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 1)
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 3)
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3) 1/3)
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 2)
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 1))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(fma.f64 (neg.f64 (PI.f64)) -1/2 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 1)
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(*.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(*.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))) 1)
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(*.f64 (cbrt.f64 (-.f64 1/2 (*.f64 x 1/2))) (cbrt.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(*.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 x))) (cbrt.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 x -1/2))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (cbrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(*.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 x))) (cbrt.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 x -1/2))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 1/2 1/2))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))
(*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (sqrt.f64 2)))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))
(*.f64 (pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 1/4) (pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 1/4))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 x 1/2))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 x 1/2))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 x -1/2))) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 x 1/2))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 x -1/2))) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))
(/.f64 1 (/.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (sqrt.f64 2)))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (sqrt.f64 2)))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 1 x))) (sqrt.f64 -2))
(/.f64 (sqrt.f64 (+.f64 -1 x)) (sqrt.f64 -2))
(/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 -2))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 2)))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (sqrt.f64 2)))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))
(pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 1/2)
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(pow.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))) 1)
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3)
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(pow.f64 (pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 3/2))
(cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 3/2))
(pow.f64 (pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 1/4) 2)
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(fabs.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 3/2))
(cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 3/2))
(cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(exp.f64 (*.f64 (log.f64 (-.f64 1/2 (*.f64 x 1/2))) 1/2))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 1))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))

eval130.0ms (0.4%)

Compiler

Compiled 6032 to 5235 computations (13.2% saved)

prune81.0ms (0.3%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New21014224
Fresh000
Picked011
Done000
Total21015225
Accuracy
10.1%
Counts
225 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.7%
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
6.7%
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
6.7%
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
6.8%
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) 3)
6.8%
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 4 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
6.8%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
6.8%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
8.6%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
6.7%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
6.9%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
6.8%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
6.8%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
3.8%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
6.8%
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
6.8%
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
6.7%
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
6.7%
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
6.7%
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
6.8%
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) 3)
6.8%
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 4 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
6.8%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
6.8%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
8.6%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
6.7%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
6.9%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
6.8%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
6.8%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
3.8%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
6.8%
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
6.8%
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
Compiler

Compiled 1408 to 1278 computations (9.2% saved)

localize5.6s (19.4%)

Localize:

Found 17 expressions with local error:

NewAccuracyProgram
100.0%
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2)
99.6%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
98.5%
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
8.7%
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4))
99.0%
(cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)))
98.7%
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) 3)
98.5%
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
8.6%
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
100.0%
(exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
98.5%
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
98.5%
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
8.6%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
98.4%
(asin.f64 (sqrt.f64 1/2))
100.0%
(sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))
100.0%
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
100.0%
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
8.6%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
Compiler

Compiled 362 to 301 computations (16.9% saved)

series23.0ms (0.1%)

Counts
17 → 184
Calls

48 calls:

TimeVariablePointExpression
3.0ms
x
@0
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) 3)
3.0ms
x
@inf
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
2.0ms
x
@inf
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) 3)
2.0ms
x
@-inf
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) 3)
1.0ms
x
@0
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4))

rewrite419.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
376×associate-*r*
256×associate-*l*
249×log1p-expm1-u
249×expm1-log1p-u
241×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041531
1681521
Stop Event
node limit
Counts
17 → 907
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))
(asin.f64 (sqrt.f64 1/2))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) 3)
(cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)))
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2)
Outputs
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 (PI.f64) 1/2))
(+.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) (fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))) (neg.f64 (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))))))
(*.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) 1)
(*.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))))
(*.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))) (pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))) 2))
(*.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) 2) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))))
(*.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) 2) 2)) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))) 2) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))) (pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))) 2)))
(*.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) 1/6) (*.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) 1/6) (pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))) 2)))
(*.f64 (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))) (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))))
(*.f64 (neg.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) 2)) (/.f64 1 (neg.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(*.f64 (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))) (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))) 2) 3) (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) 1/6) 3) (pow.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) 1/6) 3))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) 2) 2))) (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))))
(*.f64 (/.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))) 2)) (/.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))) 2)) (/.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))) (/.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) 2) (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) 2) 2)) 1) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))))
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(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))) 2) (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) 1/6)) (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) 1/6))
(pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))) 3)
(pow.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) 2) 1/2)
(pow.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))) 2) 3/2)
(pow.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))) 2)
(pow.f64 (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))) -1)
(neg.f64 (/.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) 2) (neg.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))))
(sqrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) 2))
(fabs.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))
(log.f64 (exp.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) 2) 3) (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) 3)))
(expm1.f64 (log1p.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))))
(exp.f64 (log.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))))
(fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))
(fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2 (*.f64 (PI.f64) 1/2))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(fma.f64 1 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2) (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) 1)
(*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 1)
(*.f64 1 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4)))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(*.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4)) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(*.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(*.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) (*.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) (*.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) (*.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) (*.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(/.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(/.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4))
(log.f64 (exp.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))
(exp.f64 (*.f64 2 (log.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))

simplify573.0ms (2%)

Algorithm
egg-herbie
Rules
1174×fma-def
1032×associate-/r*
552×distribute-rgt-in
552×distribute-lft-in
436×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
089869008
1219459840
Stop Event
node limit
Counts
1091 → 618
Calls
Call 1
Inputs
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))) (*.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))) (+.f64 (*.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 -1/128 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5))))))
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(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) 1)
(*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 1)
(*.f64 1 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4)))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(*.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4)) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(*.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(*.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) (*.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) (*.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) (*.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) (*.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(/.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(/.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4))
(log.f64 (exp.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))
(exp.f64 (*.f64 2 (log.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))
Outputs
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(fma.f64 1/2 (PI.f64) (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(fma.f64 1/2 (PI.f64) (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(fma.f64 1/2 (PI.f64) (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(fma.f64 1/2 (PI.f64) (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(fma.f64 1/2 (PI.f64) (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(fma.f64 1/2 (PI.f64) (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(fma.f64 1/2 (PI.f64) (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(fma.f64 1/2 (PI.f64) (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(fma.f64 1/2 (PI.f64) (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(fma.f64 1/2 (PI.f64) (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(fma.f64 1/2 (PI.f64) (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(fma.f64 1/2 (PI.f64) (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))
(fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))) (*.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (*.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))))
(+.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)) (/.f64 (*.f64 -1/32 (pow.f64 x 2)) (*.f64 1/2 (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))) (+.f64 (*.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 -1/128 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5))))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (fma.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)) (*.f64 -1/128 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5))))))
(+.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)) (fma.f64 -1/32 (/.f64 (pow.f64 x 2) (*.f64 1/2 (sqrt.f64 1/2))) (/.f64 (*.f64 -1/128 (pow.f64 x 3)) (pow.f64 (sqrt.f64 1/2) 5))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
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(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))))
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)
(cbrt.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 3))
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)
(exp.f64 (*.f64 2 (log.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1))
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)
(log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)

eval887.0ms (3.1%)

Compiler

Compiled 27244 to 23574 computations (13.5% saved)

prune286.0ms (1%)

Pruning

35 alts after pruning (31 fresh and 4 done)

PrunedKeptTotal
New77622798
Fresh099
Picked235
Done011
Total77835813
Accuracy
10.3%
Counts
813 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.7%
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
6.7%
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
6.7%
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
2.7%
(pow.f64 (pow.f64 (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))) 1/3) 3)
4.5%
(pow.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3) 8))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2) (*.f64 (PI.f64) (*.f64 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))) 3)
6.8%
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3)
6.8%
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 4 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
4.4%
(/.f64 (/.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8)) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8))) (fma.f64 (PI.f64) (*.f64 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 2))) (fma.f64 (PI.f64) (*.f64 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
4.6%
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 3) (pow.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 4) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 4) (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
4.4%
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3) 8)) (/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2) (*.f64 (PI.f64) (*.f64 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))) (+.f64 (pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2) (*.f64 (PI.f64) (*.f64 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3) 8)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
6.8%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
4.5%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8)) (+.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
6.6%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (fma.f64 2 (asin.f64 (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))) (+.f64 (*.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 -1/128 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5))))))) (*.f64 (PI.f64) 1/2)))
6.8%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (fma.f64 2 (asin.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 (PI.f64) 1/2)))
6.8%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (fma.f64 2 (asin.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 3/2))) (*.f64 (PI.f64) 1/2)))
6.7%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 3/2))) 2) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
8.7%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) 1) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
6.8%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4))) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
6.8%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
6.9%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4)) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
8.7%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
8.6%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 3)) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
6.8%
(/.f64 (-.f64 (*.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))))) (*.f64 (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))) (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))) (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))))))
6.8%
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
8.6%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
5.6%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
6.7%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
6.9%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
6.8%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
6.8%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
3.8%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
4.0%
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
6.8%
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))) (neg.f64 (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))))))
6.8%
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
6.8%
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
6.7%
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
6.7%
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
6.7%
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
2.7%
(pow.f64 (pow.f64 (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))) 1/3) 3)
4.5%
(pow.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3) 8))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2) (*.f64 (PI.f64) (*.f64 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))) 3)
6.8%
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3)
6.8%
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 4 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
4.4%
(/.f64 (/.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8)) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8))) (fma.f64 (PI.f64) (*.f64 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 2))) (fma.f64 (PI.f64) (*.f64 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
4.6%
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 3) (pow.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 4) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 4) (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
4.4%
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3) 8)) (/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2) (*.f64 (PI.f64) (*.f64 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))) (+.f64 (pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2) (*.f64 (PI.f64) (*.f64 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3) 8)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
6.8%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
4.5%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8)) (+.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
6.6%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (fma.f64 2 (asin.f64 (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))) (+.f64 (*.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 -1/128 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5))))))) (*.f64 (PI.f64) 1/2)))
6.8%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (fma.f64 2 (asin.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 (PI.f64) 1/2)))
6.8%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (fma.f64 2 (asin.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 3/2))) (*.f64 (PI.f64) 1/2)))
6.7%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 3/2))) 2) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
8.7%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) 1) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
6.8%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4))) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
6.8%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
6.9%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4)) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
8.7%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
8.6%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 3)) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
6.8%
(/.f64 (-.f64 (*.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))))) (*.f64 (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))) (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))) (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))))))
6.8%
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
8.6%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
5.6%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
6.7%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
6.9%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
6.8%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
6.8%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
3.8%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
4.0%
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
6.8%
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))) (neg.f64 (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))))))
6.8%
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
6.8%
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
Compiler

Compiled 5224 to 4688 computations (10.3% saved)

localize5.1s (17.5%)

Localize:

Found 19 expressions with local error:

NewAccuracyProgram
98.5%
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
98.5%
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
98.4%
(cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
8.7%
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 4))
98.5%
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
98.5%
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
98.5%
(asin.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
8.7%
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4))
100.0%
(sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))
98.5%
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
8.7%
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
8.6%
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
100.0%
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
100.0%
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
98.5%
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
99.6%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
98.5%
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
98.5%
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
8.7%
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) 4))
Compiler

Compiled 699 to 592 computations (15.3% saved)

series18.0ms (0.1%)

Counts
16 → 176
Calls

48 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 4))
3.0ms
x
@-inf
(cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
2.0ms
x
@0
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 4))
2.0ms
x
@inf
(cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
1.0ms
x
@0
(cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))

rewrite192.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
512×associate-*r*
299×log1p-expm1-u
297×expm1-log1p-u
287×pow1
284×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
047675
1745408
Stop Event
node limit
Counts
16 → 691
Calls
Call 1
Inputs
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) 4))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(asin.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 4))
(cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
Outputs
(+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))
(+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4) (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))))
(+.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)) 2) (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)))
(+.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)) 2) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) 4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)))
(+.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)) 2) (fma.f64 (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)))
(+.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)) 2) (+.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (neg.f64 (*.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4)) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (neg.f64 (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) 1))) (fma.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4) 1 (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) 1)))
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(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)) 2)))
(fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))
(fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))
(fma.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)) (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)))
(fma.f64 1 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))
(fma.f64 1 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)) 2) (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))) 2) 2) (pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))) 2) (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 1)
(*.f64 1 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)) (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/6) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/3) (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/3))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/3)
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1)
(pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 3)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))
(fabs.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (exp.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(exp.f64 (log.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1)
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 1 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/6))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/6) (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) 1) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))) (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/6)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/6))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 1/2)
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(fabs.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1)
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 1 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/6))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/6) (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) 1) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))) (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/6)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/6))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 1/2)
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(fabs.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))

simplify538.0ms (1.9%)

Algorithm
egg-herbie
Rules
1302×times-frac
1272×associate-*l*
912×fma-def
576×associate-/l*
532×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
066048169
1173143879
Stop Event
node limit
Counts
867 → 383
Calls
Call 1
Inputs
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2))) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2))) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2))) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
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(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)) 2)))
(exp.f64 (log.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)) 2)))
(fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))
(fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))
(fma.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)) (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)))
(fma.f64 1 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))
(fma.f64 1 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)) 2) (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))) 2) 2) (pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))) 2) (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 1)
(*.f64 1 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)) (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/6) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/3) (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/3))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/3)
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1)
(pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 3)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))
(fabs.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (exp.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(exp.f64 (log.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1)
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 1 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/6))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/6) (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) 1) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))) (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/6)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/6))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 1/2)
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(fabs.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1)
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 1 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/6))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/6) (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) 1) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))) (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/6)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/6))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 1/2)
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(fabs.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
Outputs
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
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(sqrt.f64 (fma.f64 x -1/2 1/2))
(sqrt.f64 (fma.f64 -1/2 x 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(sqrt.f64 (fma.f64 -1/2 x 1/2))
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(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
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(fma.f64 (pow.f64 (PI.f64) 2) 1/4 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))))
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(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1)
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 1/2)
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 1/3)
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(fabs.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1)
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(*.f64 1 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(*.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/6))
(*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/6) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 1/6) 3) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/6) (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/6) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 1/6) 3) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) 1) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))) (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)) (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 2) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 2)) (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/6)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/6))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1)
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 1/2)
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 1/3)
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(fabs.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))

eval1.4s (4.7%)

Compiler

Compiled 51262 to 44858 computations (12.5% saved)

prune609.0ms (2.1%)

Pruning

42 alts after pruning (37 fresh and 5 done)

PrunedKeptTotal
New1114141128
Fresh32326
Picked415
Done044
Total1121421163
Accuracy
10.4%
Counts
1163 → 42
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.7%
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
6.7%
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
6.7%
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
4.5%
(pow.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3) 8))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2) (*.f64 (PI.f64) (*.f64 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))) 3)
6.8%
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3)
6.8%
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 4 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
4.4%
(/.f64 (/.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8)) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8))) (fma.f64 (PI.f64) (*.f64 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 2))) (fma.f64 (PI.f64) (*.f64 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 2))) (fma.f64 2 (asin.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 (PI.f64) 1/2)))
4.6%
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 3) (pow.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 4) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 4) (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
4.6%
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 3) (pow.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 4) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 4) (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) 2)))) (fma.f64 2 (asin.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 (PI.f64) 1/2)))
6.8%
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) 16)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
4.4%
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3) 8)) (/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2) (*.f64 (PI.f64) (*.f64 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))) (+.f64 (pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2) (*.f64 (PI.f64) (*.f64 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3) 8)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
4.4%
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3) 8)) (/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2) (*.f64 (PI.f64) (*.f64 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))) (+.f64 (pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2) (*.f64 (PI.f64) (*.f64 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3) 8)))) (fma.f64 2 (asin.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 (PI.f64) 1/2)))
6.8%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
4.5%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8)) (+.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
6.6%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (fma.f64 2 (asin.f64 (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))) (+.f64 (*.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 -1/128 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5))))))) (*.f64 (PI.f64) 1/2)))
5.6%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (fma.f64 2 (asin.f64 (expm1.f64 (log1p.f64 (sqrt.f64 1/2)))) (*.f64 (PI.f64) 1/2)))
6.8%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (fma.f64 2 (asin.f64 (expm1.f64 (log1p.f64 (log.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (*.f64 (PI.f64) 1/2)))
6.8%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (fma.f64 2 (asin.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 3/2))) (*.f64 (PI.f64) 1/2)))
6.7%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 3/2))) 2) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
8.7%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) 1) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
6.8%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4))) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
6.8%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 4)) (fma.f64 2 (asin.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 (PI.f64) 1/2)))
6.9%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4)) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
8.6%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
8.7%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) 4)) (fma.f64 2 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2)) (*.f64 (PI.f64) 1/2)))
8.7%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
8.6%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 3)) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
6.8%
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
6.9%
(/.f64 (+.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4)) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
6.9%
(/.f64 (+.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -4) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 5)))) (fma.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -4) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 5)) (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 4 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 5)))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
8.6%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
5.6%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
6.7%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
6.9%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
6.8%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
6.8%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
3.8%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
4.0%
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
6.8%
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))) (neg.f64 (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))))))
6.8%
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2)) -2))))
6.8%
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
6.8%
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
6.7%
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
6.7%
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
6.7%
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
4.5%
(pow.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3) 8))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2) (*.f64 (PI.f64) (*.f64 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))) 3)
6.8%
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3)
6.8%
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 4 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
4.4%
(/.f64 (/.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8)) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8))) (fma.f64 (PI.f64) (*.f64 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 2))) (fma.f64 (PI.f64) (*.f64 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 2))) (fma.f64 2 (asin.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 (PI.f64) 1/2)))
4.6%
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 3) (pow.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 4) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 4) (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
4.6%
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 3) (pow.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 4) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 4) (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) 2)))) (fma.f64 2 (asin.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 (PI.f64) 1/2)))
6.8%
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) 16)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
4.4%
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3) 8)) (/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2) (*.f64 (PI.f64) (*.f64 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))) (+.f64 (pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2) (*.f64 (PI.f64) (*.f64 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3) 8)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
4.4%
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3) 8)) (/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2) (*.f64 (PI.f64) (*.f64 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))) (+.f64 (pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2) (*.f64 (PI.f64) (*.f64 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3) 8)))) (fma.f64 2 (asin.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 (PI.f64) 1/2)))
6.8%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
4.5%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8)) (+.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
6.6%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (fma.f64 2 (asin.f64 (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))) (+.f64 (*.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 -1/128 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5))))))) (*.f64 (PI.f64) 1/2)))
5.6%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (fma.f64 2 (asin.f64 (expm1.f64 (log1p.f64 (sqrt.f64 1/2)))) (*.f64 (PI.f64) 1/2)))
6.8%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (fma.f64 2 (asin.f64 (expm1.f64 (log1p.f64 (log.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (*.f64 (PI.f64) 1/2)))
6.8%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (fma.f64 2 (asin.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 3/2))) (*.f64 (PI.f64) 1/2)))
6.7%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 3/2))) 2) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
8.7%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) 1) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
6.8%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4))) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
6.8%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 4)) (fma.f64 2 (asin.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 (PI.f64) 1/2)))
6.9%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4)) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
8.6%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
8.7%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) 4)) (fma.f64 2 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2)) (*.f64 (PI.f64) 1/2)))
8.7%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
8.6%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 3)) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
6.8%
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
6.9%
(/.f64 (+.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4)) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
6.9%
(/.f64 (+.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -4) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 5)))) (fma.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -4) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 5)) (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 4 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 5)))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
8.6%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
5.6%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
6.7%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
6.9%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
6.8%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
6.8%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
3.8%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
4.0%
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
6.8%
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))) (neg.f64 (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))))))
6.8%
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2)) -2))))
6.8%
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
6.8%
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
Compiler

Compiled 6662 to 5988 computations (10.1% saved)

localize4.0s (13.9%)

Localize:

Found 17 expressions with local error:

NewAccuracyProgram
98.5%
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)
98.5%
(cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
98.4%
(cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
8.7%
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 4))
100.0%
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)
100.0%
(/.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))
98.5%
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
8.7%
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))) (neg.f64 (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))))))
100.0%
(sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))
98.5%
(sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
98.5%
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
6.8%
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
98.4%
(asin.f64 (sqrt.f64 1/2))
98.5%
(asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2))
98.5%
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
98.5%
(pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2)
8.7%
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) 4))
Compiler

Compiled 735 to 631 computations (14.1% saved)

series18.0ms (0.1%)

Counts
11 → 132
Calls

33 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))) (neg.f64 (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))))))
2.0ms
x
@-inf
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))) (neg.f64 (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))))))
2.0ms
x
@0
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))) (neg.f64 (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))))))
2.0ms
x
@-inf
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)
2.0ms
x
@inf
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)

rewrite117.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
325×log1p-expm1-u
325×expm1-log1p-u
314×pow1
310×add-exp-log
308×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048520
1780437
Stop Event
node limit
Counts
11 → 288
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2)
(asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2))
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))) (neg.f64 (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))))))
(/.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 4))
(cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1)
(*.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) (pow.f64 (fma.f64 x -1/2 1/2) 1/4))
(*.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/6) (cbrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 1 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) (pow.f64 (fma.f64 x -1/2 1/2) 1/6))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))) 3) (pow.f64 (fma.f64 x -1/2 1/2) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 2)) (pow.f64 (fma.f64 x -1/2 1/2) 1/6))
(/.f64 (sqrt.f64 (-.f64 1/4 (pow.f64 (*.f64 x -1/2) 2))) (sqrt.f64 (-.f64 1/2 (*.f64 x -1/2))))
(/.f64 (sqrt.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/8))) (sqrt.f64 (+.f64 1/4 (-.f64 (pow.f64 (*.f64 x -1/2) 2) (*.f64 1/2 (*.f64 x -1/2))))))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(fabs.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/4) (pow.f64 (fma.f64 x -1/2 1/2) 3/4)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x -1/2 1/2)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (/.f64 (PI.f64) 2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1)
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 1 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/6))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/6) (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) 2) 3) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (+.f64 (*.f64 (/.f64 (PI.f64) 2) (/.f64 (PI.f64) 2)) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (/.f64 (PI.f64) 2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 1/2)
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(fabs.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))) 1)
(*.f64 1 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))) 2) (cbrt.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))) (sqrt.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 3) (pow.f64 (*.f64 1/2 (PI.f64)) 3)) (+.f64 (*.f64 (*.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 2) (*.f64 (*.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64))))))
(pow.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))))
(exp.f64 (log.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))))
(-.f64 (/.f64 (PI.f64) 2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1)
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 1 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) 2) 3) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)) (+.f64 (*.f64 (/.f64 (PI.f64) 2) (/.f64 (PI.f64) 2)) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (/.f64 (PI.f64) 2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 1)
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2)
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 3)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) 1/2)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3/2) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3/2)))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 1))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 1)
(*.f64 1 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 1/4) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2)) (sqrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 1/2)
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 3)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3/2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 1/4) 2)
(fabs.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(log.f64 (exp.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(exp.f64 (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(-.f64 (/.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 2) (/.f64 (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))) (/.f64 (pow.f64 (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))) 2) (/.f64 (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
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(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/6)) (cbrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/6)) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))) (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/6)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4)) (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 1/3) (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/6)))
(*.f64 (pow.f64 1 1/3) (pow.f64 (fma.f64 x -1/2 1/2) 1/6))
(pow.f64 (fma.f64 x -1/2 1/2) 1/6)
(pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2/3)
(pow.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) 1/3)
(pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/6) 1)
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/6)) 3)
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4)) 2)
(sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)))
(log.f64 (exp.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/6)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/6))))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/6)))
(exp.f64 (log.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/6)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/6)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/6)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1)
(*.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) (pow.f64 (fma.f64 x -1/2 1/2) 1/4))
(*.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/6) (cbrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 1 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) (pow.f64 (fma.f64 x -1/2 1/2) 1/6))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))) 3) (pow.f64 (fma.f64 x -1/2 1/2) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 2)) (pow.f64 (fma.f64 x -1/2 1/2) 1/6))
(/.f64 (sqrt.f64 (-.f64 1/4 (pow.f64 (*.f64 x -1/2) 2))) (sqrt.f64 (-.f64 1/2 (*.f64 x -1/2))))
(/.f64 (sqrt.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/8))) (sqrt.f64 (+.f64 1/4 (-.f64 (pow.f64 (*.f64 x -1/2) 2) (*.f64 1/2 (*.f64 x -1/2))))))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(fabs.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/4) (pow.f64 (fma.f64 x -1/2 1/2) 3/4)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x -1/2 1/2)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))

simplify199.0ms (0.7%)

Algorithm
egg-herbie
Rules
1392×associate-*r*
1156×associate-*l*
986×fma-def
486×associate-+r+
398×sqr-pow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
088430188
1242125930
Stop Event
node limit
Counts
420 → 492
Calls
Call 1
Inputs
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/2 (*.f64 x (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/2 (*.f64 x (sqrt.f64 1/2))) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -3/16 (sqrt.f64 1/2)) (*.f64 1/16 (sqrt.f64 1/2))))))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/2 (*.f64 x (sqrt.f64 1/2))) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -3/16 (sqrt.f64 1/2)) (*.f64 1/16 (sqrt.f64 1/2)))) (*.f64 (pow.f64 x 3) (+.f64 (*.f64 -7/64 (sqrt.f64 1/2)) (*.f64 3/64 (sqrt.f64 1/2)))))))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2) x)) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2) x)) (+.f64 (*.f64 -3/16 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2) (pow.f64 x 2))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2) (pow.f64 x 2))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2) x)) (+.f64 (*.f64 -3/16 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2) (pow.f64 x 2))) (+.f64 (*.f64 -7/64 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2) (pow.f64 x 3))) (+.f64 (*.f64 3/64 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2) (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2) (pow.f64 x 2))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2))))))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) x)) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) x)) (+.f64 (*.f64 -3/16 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) (pow.f64 x 2))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) (pow.f64 x 2))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -3/64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2)) (*.f64 7/64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2))) (pow.f64 x 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) x)) (+.f64 (*.f64 -3/16 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) (pow.f64 x 2))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) (pow.f64 x 2))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2)))))
(asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 1/4) 2))
(asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 1/4) 2))
(asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 1/4) 2))
(asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 1/4) 2))
(asin.f64 (pow.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 1/4) 2))
(asin.f64 (pow.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 1/4) 2))
(asin.f64 (pow.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 1/4) 2))
(asin.f64 (pow.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 1/4) 2))
(asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 1/4) 2))
(asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 1/4) 2))
(asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 1/4) 2))
(asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 1/4) 2))
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))) (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))) (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))) (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))) (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))) (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))) (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))) (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))) (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))) (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))) (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))) (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))) (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))))
(/.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
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(fabs.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(log.f64 (exp.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
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(exp.f64 (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 1/2))
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(fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) 4))
(fma.f64 1 (pow.f64 (*.f64 1/2 (PI.f64)) 2) (neg.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))
(fma.f64 1 (pow.f64 (*.f64 1/2 (PI.f64)) 2) (*.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) 4))
(fma.f64 1 (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 2)) 2) (cbrt.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 2)) (neg.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 2)) 2) (cbrt.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 2)) (*.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) 4))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))) 2) (cbrt.f64 (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))) (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))
(fma.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64)) (neg.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))
(fma.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64)) (*.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) 4))
(fma.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))) (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/6))) 1)
(*.f64 1 (pow.f64 (fma.f64 x -1/2 1/2) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/6)) (cbrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/6)) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))) (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/6)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4)) (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 1/3) (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/6)))
(*.f64 (pow.f64 1 1/3) (pow.f64 (fma.f64 x -1/2 1/2) 1/6))
(pow.f64 (fma.f64 x -1/2 1/2) 1/6)
(pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2/3)
(pow.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) 1/3)
(pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/6) 1)
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/6)) 3)
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4)) 2)
(sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)))
(log.f64 (exp.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/6)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/6))))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/6)))
(exp.f64 (log.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/6)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/6)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/6)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1)
(*.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) (pow.f64 (fma.f64 x -1/2 1/2) 1/4))
(*.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/6) (cbrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 1 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) (pow.f64 (fma.f64 x -1/2 1/2) 1/6))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))) 3) (pow.f64 (fma.f64 x -1/2 1/2) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 2)) (pow.f64 (fma.f64 x -1/2 1/2) 1/6))
(/.f64 (sqrt.f64 (-.f64 1/4 (pow.f64 (*.f64 x -1/2) 2))) (sqrt.f64 (-.f64 1/2 (*.f64 x -1/2))))
(/.f64 (sqrt.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/8))) (sqrt.f64 (+.f64 1/4 (-.f64 (pow.f64 (*.f64 x -1/2) 2) (*.f64 1/2 (*.f64 x -1/2))))))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(fabs.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/4) (pow.f64 (fma.f64 x -1/2 1/2) 3/4)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x -1/2 1/2)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
Outputs
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/2 (*.f64 x (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) x)))
(fma.f64 x (*.f64 (sqrt.f64 1/2) -1/2) (sqrt.f64 1/2))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/2 (*.f64 x (sqrt.f64 1/2))) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -3/16 (sqrt.f64 1/2)) (*.f64 1/16 (sqrt.f64 1/2))))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 (sqrt.f64 1/2) x) (*.f64 (pow.f64 x 2) (*.f64 (sqrt.f64 1/2) -1/8))))
(+.f64 (sqrt.f64 1/2) (fma.f64 (pow.f64 x 2) (*.f64 (sqrt.f64 1/2) -1/8) (*.f64 (sqrt.f64 1/2) (*.f64 -1/2 x))))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/2 (*.f64 x (sqrt.f64 1/2))) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -3/16 (sqrt.f64 1/2)) (*.f64 1/16 (sqrt.f64 1/2)))) (*.f64 (pow.f64 x 3) (+.f64 (*.f64 -7/64 (sqrt.f64 1/2)) (*.f64 3/64 (sqrt.f64 1/2)))))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 (sqrt.f64 1/2) x) (fma.f64 (pow.f64 x 2) (*.f64 (sqrt.f64 1/2) -1/8) (*.f64 (pow.f64 x 3) (*.f64 (sqrt.f64 1/2) -1/16)))))
(+.f64 (fma.f64 (pow.f64 x 3) (*.f64 (sqrt.f64 1/2) -1/16) (*.f64 (sqrt.f64 1/2) (*.f64 -1/8 (pow.f64 x 2)))) (fma.f64 x (*.f64 (sqrt.f64 1/2) -1/2) (sqrt.f64 1/2)))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/2) (log.f64 x))) 2)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2) x)) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2))
(fma.f64 -1/2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x))))) 2) x) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x))))) 2))
(fma.f64 -1/2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/2) (log.f64 x))) 2) x) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/2) (log.f64 x))) 2))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2) x)) (+.f64 (*.f64 -3/16 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2) (pow.f64 x 2))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2) (pow.f64 x 2))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2))))
(fma.f64 -1/2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x))))) 2) x) (fma.f64 -3/16 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x))))) 2) (pow.f64 x 2)) (fma.f64 1/16 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x))))) 2) (pow.f64 x 2)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x))))) 2))))
(+.f64 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/2) (log.f64 x))) 2) (pow.f64 x 2)) -1/8) (fma.f64 -1/2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/2) (log.f64 x))) 2) x) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/2) (log.f64 x))) 2)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2) x)) (+.f64 (*.f64 -3/16 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2) (pow.f64 x 2))) (+.f64 (*.f64 -7/64 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2) (pow.f64 x 3))) (+.f64 (*.f64 3/64 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2) (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2) (pow.f64 x 2))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2))))))
(fma.f64 -1/2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x))))) 2) x) (fma.f64 -3/16 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x))))) 2) (pow.f64 x 2)) (fma.f64 -7/64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x))))) 2) (pow.f64 x 3)) (fma.f64 3/64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x))))) 2) (pow.f64 x 3)) (fma.f64 1/16 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x))))) 2) (pow.f64 x 2)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x))))) 2))))))
(fma.f64 -1/2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/2) (log.f64 x))) 2) x) (+.f64 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/2) (log.f64 x))) 2) (pow.f64 x 3)) -1/16) (+.f64 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/2) (log.f64 x))) 2) (pow.f64 x 2)) -1/8) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/2) (log.f64 x))) 2))))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 1/2) (neg.f64 (log.f64 (/.f64 -1 x))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))) 2)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) x)) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2))
(fma.f64 -1/2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 1/2) (neg.f64 (log.f64 (/.f64 -1 x))))) 2) x) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 1/2) (neg.f64 (log.f64 (/.f64 -1 x))))) 2))
(fma.f64 -1/2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))) 2) x) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))) 2))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) x)) (+.f64 (*.f64 -3/16 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) (pow.f64 x 2))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) (pow.f64 x 2))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2))))
(fma.f64 -1/2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 1/2) (neg.f64 (log.f64 (/.f64 -1 x))))) 2) x) (fma.f64 -3/16 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 1/2) (neg.f64 (log.f64 (/.f64 -1 x))))) 2) (pow.f64 x 2)) (fma.f64 1/16 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 1/2) (neg.f64 (log.f64 (/.f64 -1 x))))) 2) (pow.f64 x 2)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 1/2) (neg.f64 (log.f64 (/.f64 -1 x))))) 2))))
(+.f64 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))) 2) (pow.f64 x 2)) -1/8) (fma.f64 -1/2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))) 2) x) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))) 2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -3/64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2)) (*.f64 7/64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2))) (pow.f64 x 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) x)) (+.f64 (*.f64 -3/16 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) (pow.f64 x 2))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) (pow.f64 x 2))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2)))))
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(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 1/2) (neg.f64 (log.f64 (/.f64 -1 x)))))
(pow.f64 (exp.f64 1/6) (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))))
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(sqrt.f64 1/2)
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(fma.f64 x (*.f64 (sqrt.f64 1/2) -1/2) (sqrt.f64 1/2))
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(pow.f64 (fma.f64 x -1/2 1/2) 1/6)
(pow.f64 (fma.f64 -1/2 x 1/2) 1/6)
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/6)) (cbrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))) (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/6)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/2 x 1/2))) (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1/2) 1/6)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/6)) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))) (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/6)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/2 x 1/2))) (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1/2) 1/6)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))) (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/6)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/2 x 1/2))) (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1/2) 1/6)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4)) (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4)))
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4)) 2)
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1/2) 1/4)) 2)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 1/3) (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/6)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))) (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/6)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/2 x 1/2))) (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1/2) 1/6)))
(*.f64 (pow.f64 1 1/3) (pow.f64 (fma.f64 x -1/2 1/2) 1/6))
(pow.f64 (fma.f64 x -1/2 1/2) 1/6)
(pow.f64 (fma.f64 -1/2 x 1/2) 1/6)
(pow.f64 (fma.f64 x -1/2 1/2) 1/6)
(pow.f64 (fma.f64 -1/2 x 1/2) 1/6)
(pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2/3)
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4)) 2)
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1/2) 1/4)) 2)
(pow.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) 1/3)
(cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/6) 1)
(pow.f64 (fma.f64 x -1/2 1/2) 1/6)
(pow.f64 (fma.f64 -1/2 x 1/2) 1/6)
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/6)) 3)
(pow.f64 (fma.f64 x -1/2 1/2) 1/6)
(pow.f64 (fma.f64 -1/2 x 1/2) 1/6)
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4)) 2)
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1/2) 1/4)) 2)
(sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)))
(sqrt.f64 (cbrt.f64 (fma.f64 -1/2 x 1/2)))
(log.f64 (exp.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/6)))
(pow.f64 (fma.f64 x -1/2 1/2) 1/6)
(pow.f64 (fma.f64 -1/2 x 1/2) 1/6)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/6))))
(pow.f64 (fma.f64 x -1/2 1/2) 1/6)
(pow.f64 (fma.f64 -1/2 x 1/2) 1/6)
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/6)))
(pow.f64 (fma.f64 x -1/2 1/2) 1/6)
(pow.f64 (fma.f64 -1/2 x 1/2) 1/6)
(exp.f64 (log.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/6)))
(pow.f64 (fma.f64 x -1/2 1/2) 1/6)
(pow.f64 (fma.f64 -1/2 x 1/2) 1/6)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/3))
(cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/6)) 1))
(pow.f64 (fma.f64 x -1/2 1/2) 1/6)
(pow.f64 (fma.f64 -1/2 x 1/2) 1/6)
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/6)))
(pow.f64 (fma.f64 x -1/2 1/2) 1/6)
(pow.f64 (fma.f64 -1/2 x 1/2) 1/6)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1)
(sqrt.f64 (fma.f64 x -1/2 1/2))
(sqrt.f64 (fma.f64 -1/2 x 1/2))
(*.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) (pow.f64 (fma.f64 x -1/2 1/2) 1/4))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(sqrt.f64 (fma.f64 -1/2 x 1/2))
(*.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/6) (cbrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (pow.f64 (fma.f64 -1/2 x 1/2) 1/6) (cbrt.f64 (fma.f64 -1/2 x 1/2)))
(*.f64 1 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(sqrt.f64 (fma.f64 -1/2 x 1/2))
(*.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) (pow.f64 (fma.f64 x -1/2 1/2) 1/6))
(*.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/6) (cbrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (pow.f64 (fma.f64 -1/2 x 1/2) 1/6) (cbrt.f64 (fma.f64 -1/2 x 1/2)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x -1/2 1/2)))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(sqrt.f64 (fma.f64 -1/2 x 1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (fabs.f64 (cbrt.f64 (fma.f64 -1/2 x 1/2))) (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 x 1/2))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))) 3) (pow.f64 (fma.f64 x -1/2 1/2) 1/6))
(*.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/6) (cbrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (pow.f64 (fma.f64 -1/2 x 1/2) 1/6) (cbrt.f64 (fma.f64 -1/2 x 1/2)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 2)) (pow.f64 (fma.f64 x -1/2 1/2) 1/6))
(*.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 2)))
(*.f64 (pow.f64 (fma.f64 -1/2 x 1/2) 1/6) (fabs.f64 (cbrt.f64 (fma.f64 -1/2 x 1/2))))
(/.f64 (sqrt.f64 (-.f64 1/4 (pow.f64 (*.f64 x -1/2) 2))) (sqrt.f64 (-.f64 1/2 (*.f64 x -1/2))))
(/.f64 (sqrt.f64 (-.f64 1/4 (pow.f64 (*.f64 -1/2 x) 2))) (sqrt.f64 (-.f64 1/2 (*.f64 -1/2 x))))
(/.f64 (sqrt.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/4))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 x))))
(/.f64 (sqrt.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/8))) (sqrt.f64 (+.f64 1/4 (-.f64 (pow.f64 (*.f64 x -1/2) 2) (*.f64 1/2 (*.f64 x -1/2))))))
(/.f64 (sqrt.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/8))) (sqrt.f64 (+.f64 1/4 (+.f64 (pow.f64 (*.f64 -1/2 x) 2) (*.f64 -1/2 (*.f64 -1/2 x))))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -1/8 1/8)) (sqrt.f64 (+.f64 (+.f64 1/4 (*.f64 (pow.f64 x 2) 1/4)) (*.f64 1/4 x))))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(sqrt.f64 (fma.f64 -1/2 x 1/2))
(fabs.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(fabs.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(sqrt.f64 (fma.f64 -1/2 x 1/2))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(sqrt.f64 (fma.f64 -1/2 x 1/2))
(cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1/2) 3/2))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/4) (pow.f64 (fma.f64 x -1/2 1/2) 3/4)))
(cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1/2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(sqrt.f64 (fma.f64 -1/2 x 1/2))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(sqrt.f64 (fma.f64 -1/2 x 1/2))
(exp.f64 (*.f64 (log.f64 (fma.f64 x -1/2 1/2)) 1/2))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(sqrt.f64 (fma.f64 -1/2 x 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(sqrt.f64 (fma.f64 -1/2 x 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(sqrt.f64 (fma.f64 -1/2 x 1/2))

eval1.9s (6.6%)

Compiler

Compiled 74097 to 64842 computations (12.5% saved)

prune365.0ms (1.3%)

Pruning

53 alts after pruning (44 fresh and 9 done)

PrunedKeptTotal
New1414161430
Fresh42832
Picked145
Done055
Total1419531472
Accuracy
10.4%
Counts
1472 → 53
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.7%
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
6.7%
(fma.f64 (*.f64 -2 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 3)) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
6.8%
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2)))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
6.7%
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
4.4%
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2))
6.7%
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
2.8%
(pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 3) 1/3)
4.5%
(pow.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3) 8))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2) (*.f64 (PI.f64) (*.f64 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))) 3)
6.7%
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))) 3)
6.8%
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3)
6.8%
(/.f64 (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 2)) 2) (cbrt.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 2)) (*.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) 4)) (fma.f64 2 (asin.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 (PI.f64) 1/2)))
6.8%
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 4 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
6.8%
(/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4)) (fma.f64 2 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2)) (*.f64 (PI.f64) 1/2)))
4.4%
(/.f64 (/.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8)) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8))) (fma.f64 (PI.f64) (*.f64 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 2))) (fma.f64 (PI.f64) (*.f64 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 2))) (fma.f64 2 (asin.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 (PI.f64) 1/2)))
4.6%
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 3) (pow.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 4) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 4) (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
6.8%
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) 16)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
4.4%
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3) 8)) (/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2) (*.f64 (PI.f64) (*.f64 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))) (+.f64 (pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2) (*.f64 (PI.f64) (*.f64 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3) 8)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
4.4%
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3) 8)) (/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2) (*.f64 (PI.f64) (*.f64 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))) (+.f64 (pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2) (*.f64 (PI.f64) (*.f64 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3) 8)))) (fma.f64 2 (asin.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 (PI.f64) 1/2)))
6.8%
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))) (fma.f64 2 (asin.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 (PI.f64) 1/2)))
6.8%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
4.5%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8)) (+.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
6.6%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (fma.f64 2 (asin.f64 (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))) (+.f64 (*.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 -1/128 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5))))))) (*.f64 (PI.f64) 1/2)))
6.8%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (fma.f64 2 (asin.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 3/2))) (*.f64 (PI.f64) 1/2)))
6.7%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 3/2))) 2) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
8.7%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) 1) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
6.8%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 4)) (fma.f64 2 (asin.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 (PI.f64) 1/2)))
6.9%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4)) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
8.6%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
8.7%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) 4)) (fma.f64 2 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2)) (*.f64 (PI.f64) 1/2)))
8.7%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
8.6%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 3)) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
6.8%
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
6.8%
(/.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 2)) 2) (cbrt.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 2)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)) (*.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))))) (fma.f64 2 (asin.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 (PI.f64) 1/2)))
6.9%
(/.f64 (+.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4)) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
6.8%
(/.f64 (+.f64 (fma.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)) (*.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))))) (fma.f64 2 (asin.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 (PI.f64) 1/2)))
6.9%
(/.f64 (+.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -4) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 5)))) (fma.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -4) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 5)) (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 4 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 5)))))) (fma.f64 2 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2)) (*.f64 (PI.f64) 1/2)))
6.9%
(/.f64 (+.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -4) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 5)))) (fma.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -4) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 5)) (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 4 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 5)))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
6.5%
(/.f64 (fabs.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))) (fma.f64 2 (asin.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 (PI.f64) 1/2)))
8.6%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
5.6%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
6.7%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
6.9%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
6.8%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
6.8%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
3.8%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
4.0%
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
6.9%
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) (*.f64 (PI.f64) 1/2)))) (neg.f64 (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))))))
6.8%
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2)) -2))))
6.8%
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
6.5%
(fabs.f64 (/.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)) (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
6.8%
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
2.7%
(exp.f64 (log.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))))
2.8%
(exp.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))))
Compiler

Compiled 4978 to 4402 computations (11.6% saved)

regimes148.0ms (0.5%)

Counts
67 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))) 1/3) 3)
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) 3)
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2)) -2))))
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2)))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
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(/.f64 (+.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -4) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 5)))) (fma.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -4) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 5)) (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 4 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 5)))))) (fma.f64 2 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2)) (*.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (*.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))))) (*.f64 (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))) (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))) (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))))))
(/.f64 (/.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8)) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8))) (fma.f64 (PI.f64) (*.f64 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 2))) (fma.f64 (PI.f64) (*.f64 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (/.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8)) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8))) (fma.f64 (PI.f64) (*.f64 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 2))) (fma.f64 (PI.f64) (*.f64 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 2))) (fma.f64 2 (asin.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 (PI.f64) 1/2)))
(/.f64 (+.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4)) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (+.f64 (fma.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)) (*.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))))) (fma.f64 2 (asin.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 (PI.f64) 1/2)))
(/.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 2)) 2) (cbrt.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 2)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)) (*.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))))) (fma.f64 2 (asin.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 (PI.f64) 1/2)))
Outputs
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) 4)) (fma.f64 2 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2)) (*.f64 (PI.f64) 1/2)))
Calls

7 calls:

28.0ms
x
19.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
8.0ms
(-.f64 1 x)
7.0ms
(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
7.0ms
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
Results
AccuracySegmentsBranch
8.7%1x
8.7%1(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
8.7%1(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
8.7%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
8.7%1(sqrt.f64 (/.f64 (-.f64 1 x) 2))
8.7%1(/.f64 (-.f64 1 x) 2)
8.7%1(-.f64 1 x)
Compiler

Compiled 2820 to 2459 computations (12.8% saved)

regimes62.0ms (0.2%)

Counts
34 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))) 1/3) 3)
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) 3)
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2)) -2))))
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2)))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
(exp.f64 (log.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))))
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))) 3)
(fma.f64 (*.f64 -2 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 3)) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4)) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 3/2))) 2) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (fma.f64 2 (asin.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 3/2))) (*.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (fma.f64 2 (asin.f64 (expm1.f64 (log1p.f64 (sqrt.f64 1/2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (fma.f64 2 (asin.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 3)) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) 1) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4)) (fma.f64 2 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2)) (*.f64 (PI.f64) 1/2)))
Outputs
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
Calls

7 calls:

16.0ms
x
5.0ms
(/.f64 (-.f64 1 x) 2)
5.0ms
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
4.0ms
(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
4.0ms
(-.f64 1 x)
Results
AccuracySegmentsBranch
8.7%1(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
8.7%1(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
8.7%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
8.7%1(sqrt.f64 (/.f64 (-.f64 1 x) 2))
8.7%1(/.f64 (-.f64 1 x) 2)
8.7%1(-.f64 1 x)
8.7%1x
Compiler

Compiled 781 to 679 computations (13.1% saved)

regimes51.0ms (0.2%)

Counts
29 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))) 1/3) 3)
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) 3)
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2)) -2))))
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2)))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
(exp.f64 (log.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))))
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))) 3)
(fma.f64 (*.f64 -2 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 3)) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4)) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 3/2))) 2) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (fma.f64 2 (asin.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 3/2))) (*.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (fma.f64 2 (asin.f64 (expm1.f64 (log1p.f64 (sqrt.f64 1/2)))) (*.f64 (PI.f64) 1/2)))
Outputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
Calls

7 calls:

14.0ms
x
4.0ms
(/.f64 (-.f64 1 x) 2)
4.0ms
(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
4.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
4.0ms
(-.f64 1 x)
Results
AccuracySegmentsBranch
8.6%1(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
8.6%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
8.6%1(sqrt.f64 (/.f64 (-.f64 1 x) 2))
8.6%1(/.f64 (-.f64 1 x) 2)
8.6%1(-.f64 1 x)
8.6%1(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
8.6%1x
Compiler

Compiled 617 to 536 computations (13.1% saved)

regimes42.0ms (0.1%)

Counts
7 → 2
Calls
Call 1
Inputs
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
Outputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
Calls

7 calls:

9.0ms
x
6.0ms
(/.f64 (-.f64 1 x) 2)
5.0ms
(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
5.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
5.0ms
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
Results
AccuracySegmentsBranch
6.9%1(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
8.6%3(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
8.6%3(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
8.6%3(sqrt.f64 (/.f64 (-.f64 1 x) 2))
8.6%3(/.f64 (-.f64 1 x) 2)
8.6%3(-.f64 1 x)
8.8%2x
Compiler

Compiled 138 to 120 computations (13% saved)

regimes12.0ms (0%)

Counts
6 → 2
Calls
Call 1
Inputs
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
Outputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
8.8%2x
Compiler

Compiled 75 to 65 computations (13.3% saved)

regimes9.0ms (0%)

Counts
5 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
Outputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
Calls

2 calls:

4.0ms
x
2.0ms
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
Results
AccuracySegmentsBranch
6.8%1(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
6.8%1x
Compiler

Compiled 76 to 67 computations (11.8% saved)

regimes8.0ms (0%)

Counts
4 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
Outputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
Calls

2 calls:

4.0ms
x
2.0ms
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
Results
AccuracySegmentsBranch
6.8%1x
6.8%1(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
Compiler

Compiled 61 to 54 computations (11.5% saved)

regimes5.0ms (0%)

Counts
3 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
Outputs
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
4.0%1x
Compiler

Compiled 34 to 30 computations (11.8% saved)

regimes8.0ms (0%)

Accuracy

Total -1.0b remaining (-1.7%)

Threshold costs -1b (-1.7%)

Counts
2 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
Outputs
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
4.0%1x
Compiler

Compiled 21 to 19 computations (9.5% saved)

bsearch65.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
65.0ms
2.216033670191971e-167
3.7125678391236484e-160
Results
63.0ms144×body1024valid
Compiler

Compiled 297 to 277 computations (6.7% saved)

bsearch66.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
66.0ms
2.216033670191971e-167
3.7125678391236484e-160
Results
63.0ms144×body1024valid
Compiler

Compiled 306 to 286 computations (6.5% saved)

simplify68.0ms (0.2%)

Algorithm
egg-herbie
Rules
752×unsub-neg
402×neg-mul-1
280×distribute-lft-neg-in
204×distribute-neg-out
154×distribute-lft-neg-out
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077659
1130659
2200659
3245659
4302659
5347659
6366659
7541659
81003659
91352659
101360659
111398659
121450659
131505659
141559659
151598659
161606659
171616659
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) 4)) (fma.f64 2 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2)) (*.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(if (<=.f64 x 6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))))))
(if (<=.f64 x 6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
Outputs
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) 4)) (fma.f64 2 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2)) (*.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(+.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2))))
(if (<=.f64 x 6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))))))
(if (<=.f64 x 6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (+.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (acos.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))))))
(if (<=.f64 x 6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))))
(if (<=.f64 x 6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (+.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (acos.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
Compiler

Compiled 206 to 187 computations (9.2% saved)

soundness1.4s (4.8%)

Rules
1153×log1p-expm1-u
1153×expm1-log1p-u
1153×log1p-expm1-u
1153×expm1-log1p-u
1153×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01688
122984
2312584
01688
122984
2312584
035010075
17699567
222329336
041531
1681521
01688
122984
2312584
01688
122984
2312584
041531
1681521
041531
1681521
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1087 to 952 computations (12.4% saved)

end0.0ms (0%)

preprocess140.0ms (0.5%)

Compiler

Compiled 430 to 372 computations (13.5% saved)

Profiling

Loading profile data...