Ian Simplification

Time bar (total: 20.7s)

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)

sample3.3s (16.1%)

Results
2.2s4159×body1024valid
592.0ms2061×body512valid
311.0ms444×body2048valid
240.0ms1592×body256valid
0.0msbody256invalid
Bogosity

preprocess30.0ms (0.1%)

Algorithm
egg-herbie
Rules
316×fma-def
62×sub-neg
42×cancel-sign-sub-inv
34×distribute-lft-neg-in
34×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01541
13041
24437
36937
410437
515033
622733
730533
837533
946833
1054133
1155133
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.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)))))
(+.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 (+.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 15 to 14 computations (6.7% saved)

simplify28.0ms (0.1%)

Algorithm
egg-herbie
Rules
316×fma-def
62×sub-neg
42×cancel-sign-sub-inv
34×distribute-lft-neg-in
34×neg-mul-1
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01541
13041
24437
36937
410437
515033
622733
730533
837533
946833
1054133
1155133
Stop Event
saturated
Counts
1 → 10
Calls
Call 1
Inputs
(-.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)))))
(+.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 (+.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))

eval3.0ms (0%)

Compiler

Compiled 120 to 101 computations (15.8% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New9110
Fresh011
Picked000
Done000
Total9211
Accurracy
7.6%
Counts
11 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.6%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
7.6%
(-.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)

localize239.0ms (1.2%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
100.0%
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
98.5%
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
9.0%
(-.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)

series3.0ms (0%)

Counts
3 → 28
Calls

9 calls:

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

rewrite104.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1500×log-prod
774×fma-def
718×pow-exp
574×expm1-udef
572×log1p-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01579
132875
2429675
Stop Event
node limit
Counts
3 → 193
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 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -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 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 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)))))))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -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 0 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) (*.f64 (PI.f64) 1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))))
(*.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))
(*.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 1)
(*.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(*.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))) (/.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 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 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 (+.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 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3)))))
(/.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 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))) (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 4 (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 (neg.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3)))) (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 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2)))) (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 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 3)
(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 2)
(pow.f64 (/.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 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3)))) -1)
(pow.f64 (/.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 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2)))) -1)
(sqrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 2))
(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))))
(log.f64 (*.f64 (sqrt.f64 (exp.f64 (PI.f64))) (/.f64 1 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (/.f64 1 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
(log.f64 (*.f64 (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) (sqrt.f64 (exp.f64 (PI.f64)))))
(log.f64 (*.f64 (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (sqrt.f64 (exp.f64 (PI.f64)))))
(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(log.f64 (/.f64 (sqrt.f64 (exp.f64 (PI.f64))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
(cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(exp.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) 2))
(log1p.f64 (expm1.f64 (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 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) 1))
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(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))) (/.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))) (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)))))))
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(-.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)))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (acos.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))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 2))
(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 (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 1/2 (PI.f64) (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 0 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (log.f64 (sqrt.f64 (exp.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 (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 x 1/2))) (cbrt.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 1/4) (pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 1/4))
(*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 1/2 1/2))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (sqrt.f64 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 (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 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)
(pow.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) -1)
(pow.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 x))) -1)
(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))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 1/2 (*.f64 x 1/2))) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 1/2 (*.f64 x 1/2))) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (-.f64 1/2 (*.f64 x 1/2)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))

simplify210.0ms (1%)

Algorithm
egg-herbie
Rules
974×distribute-lft-in
862×distribute-rgt-in
728×unswap-sqr
502×associate-+r+
444×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043010465
19419789
226379339
Stop Event
node limit
Counts
221 → 265
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 (sqrt.f64 1/2) x)))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) x)) (*.f64 -1/8 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2)))))
(+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) x)) (*.f64 -1/8 (*.f64 (sqrt.f64 1/2) (pow.f64 x 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 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -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 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 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)))))))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -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 0 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) (*.f64 (PI.f64) 1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))))
(*.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))
(*.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 1)
(*.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(*.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))) (/.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 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 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 (+.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 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3)))))
(/.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 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))) (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 4 (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 (neg.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3)))) (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))))
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(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))) (/.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))) (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 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))) (/.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))) (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 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))) (/.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))) (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 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))) (/.f64 1 (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)))))))
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 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 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))) (/.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 (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 (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 (neg.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 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 (PI.f64) 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 (+.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 (*.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 (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 (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 0 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (cbrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))) (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (log.f64 (sqrt.f64 (exp.f64 (asin.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)))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (acos.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))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 2))
(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 (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 1/2 (PI.f64) (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 0 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (log.f64 (sqrt.f64 (exp.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 (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 x 1/2))) (cbrt.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 1/4) (pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 1/4))
(*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 1/2 1/2))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (sqrt.f64 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 (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 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)
(pow.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) -1)
(pow.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 x))) -1)
(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))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 1/2 (*.f64 x 1/2))) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 1/2 (*.f64 x 1/2))) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (-.f64 1/2 (*.f64 x 1/2)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))
(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))
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(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))
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(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))
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(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))
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(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))
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(pow.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))) 1)
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(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
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(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 1/2 (*.f64 x 1/2))) 1) 1/2))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
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(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 1/2 (*.f64 x 1/2))) 1/2) 1))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 1) 1))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(exp.f64 (*.f64 (log.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)))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (-.f64 1/2 (*.f64 x 1/2)))) 1/3))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))
(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)))

eval323.0ms (1.6%)

Compiler

Compiled 6486 to 5613 computations (13.5% saved)

prune147.0ms (0.7%)

Pruning

25 alts after pruning (24 fresh and 1 done)

PrunedKeptTotal
New24124265
Fresh000
Picked011
Done000
Total24125266
Accurracy
10.6%
Counts
266 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.3%
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 2) (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
7.3%
(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))
7.6%
(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))
7.6%
(fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
7.5%
(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))
1.1%
(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 3) 1/3)
7.6%
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 3)
7.6%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))) (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)))
7.7%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (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)))
8.9%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
7.4%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
7.4%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
7.6%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
4.2%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
7.4%
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))))
7.6%
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))) (/.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))))
7.5%
(*.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))))))))
7.4%
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))
7.6%
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))))))
7.7%
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
7.7%
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
7.6%
(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
7.6%
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
1.1%
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) 3))
1.1%
(exp.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
7.3%
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 2) (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
7.3%
(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))
7.6%
(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))
7.6%
(fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
7.5%
(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))
1.1%
(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 3) 1/3)
7.6%
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 3)
7.6%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))) (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)))
7.7%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (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)))
8.9%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
7.4%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
7.4%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
7.6%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
4.2%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
7.4%
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))))
7.6%
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))) (/.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))))
7.5%
(*.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))))))))
7.4%
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))
7.6%
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))))))
7.7%
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
7.7%
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
7.6%
(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
7.6%
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
1.1%
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) 3))
1.1%
(exp.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
Compiler

Compiled 2244 to 2058 computations (8.3% saved)

localize5.3s (25.5%)

Local Accuracy

Found 17 expressions with local accuracy:

NewAccuracyProgram
100.0%
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2)
99.5%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (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))))
9.1%
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2)))
99.7%
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))
98.5%
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
9.0%
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))
9.0%
(log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))))
99.0%
(cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))
98.8%
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 3)
98.5%
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
9.0%
(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 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))))
99.9%
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
9.0%
(-.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 392 to 326 computations (16.8% saved)

series149.0ms (0.7%)

Counts
17 → 184
Calls

48 calls:

TimeVariablePointExpression
63.0ms
x
@0
(log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))))
35.0ms
x
@-inf
(log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))))
28.0ms
x
@inf
(log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))))
3.0ms
x
@inf
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 3)
3.0ms
x
@inf
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (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)))

rewrite133.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
928×add-sqr-sqrt
908×pow1
902×*-un-lft-identity
868×add-exp-log
866×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046603
11015603
Stop Event
node limit
Counts
17 → 188
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))
(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 3)
(cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))
(log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2)))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (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)
Outputs
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 1 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (cbrt.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))) (cbrt.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (sqrt.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
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(cbrt.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))))
(expm1.f64 (log1p.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))))
(exp.f64 (log.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))))
(log1p.f64 (expm1.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.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 (+.f64 1/2 (*.f64 x -1/2))))))
(*.f64 1 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(*.f64 (sqrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (sqrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1)
(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(cbrt.f64 (*.f64 (*.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(exp.f64 (log.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.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 1 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(*.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (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))))))
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 1)
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(cbrt.f64 (*.f64 (*.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))))))
(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))))))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(pow.f64 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))) 1)
(log.f64 (exp.f64 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))))
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(exp.f64 (log.f64 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))))
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(+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (neg.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))))
(+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) 4 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))))
(*.f64 1 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))) (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))))) (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))) (sqrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 3) (pow.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) 3)) (+.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (+.f64 (*.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (*.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))))
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(log.f64 (exp.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))))
(cbrt.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))))
(exp.f64 (log.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))))
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(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(*.f64 1 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(*.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.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 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.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) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.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) 1/2) (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)
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(cbrt.f64 (*.f64 (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))))))
(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))))))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2))) (/.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2))))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2))))
(*.f64 1 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2)))) (cbrt.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2))))) (cbrt.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2)))) (sqrt.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2)))))
(pow.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2))) 1)
(log.f64 (exp.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2)))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2))) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2)))) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2)))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2)))))
(exp.f64 (log.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2)))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2)))))
(*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(*.f64 1 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))
(*.f64 (*.f64 (cbrt.f64 (pow.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)))) 2))) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(*.f64 (sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(log.f64 (exp.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2))
(log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))

simplify142.0ms (0.7%)

Algorithm
egg-herbie
Rules
1326×distribute-lft-in
718×associate-*r*
690×unswap-sqr
658×associate-*l*
606×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041711696
193811496
2357911482
Stop Event
node limit
Counts
372 → 231
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))))
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(sqrt.f64 1/2)
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(+.f64 (*.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5))) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))
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(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -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))))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(*.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (pow.f64 1 1/3))
(*.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (pow.f64 1 1/3))
(*.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (pow.f64 1 1/3))
(*.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (pow.f64 1 1/3))
(pow.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1/3)
(pow.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1/3)
(pow.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1/3)
(pow.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1/3)
(pow.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1/3)
(pow.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1/3)
(pow.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1/3)
(pow.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1/3)
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(pow.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) 1/3)
(pow.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) 1/3)
(log.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) 1/3))
(log.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) 1/3))
(log.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) 1/3))
(log.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) 1/3))
(log.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 1/3))
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(log.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 1/3))
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(*.f64 3 (log.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))) (*.f64 1/2 (PI.f64)))) 1/3)))
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(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 1)
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(cbrt.f64 (*.f64 (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))))))
(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))))))
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(pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1)
(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
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(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
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(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 1)
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
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(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
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(log.f64 (exp.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))))
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(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(*.f64 1 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(*.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.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 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.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) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.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) 1/2) (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)
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(cbrt.f64 (*.f64 (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))))))
(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))))))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2))) (/.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2))))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2))))
(*.f64 1 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2)))) (cbrt.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2))))) (cbrt.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2)))) (sqrt.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2)))))
(pow.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2))) 1)
(log.f64 (exp.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2)))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2))) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2)))) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2)))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2)))))
(exp.f64 (log.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2)))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2)))))
(*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(*.f64 1 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))
(*.f64 (*.f64 (cbrt.f64 (pow.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)))) 2))) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(*.f64 (sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(log.f64 (exp.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2))
(log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 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)))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(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 (fma.f64 -1/2 x 1/2))))))
(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 (fma.f64 -1/2 x 1/2))))))
(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 (fma.f64 -1/2 x 1/2))))))
(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 (fma.f64 -1/2 x 1/2))))))
(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 (fma.f64 -1/2 x 1/2))))))
(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 (fma.f64 -1/2 x 1/2))))))
(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 (fma.f64 -1/2 x 1/2))))))
(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 (fma.f64 -1/2 x 1/2))))))
(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 (fma.f64 -1/2 x 1/2))))))
(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 (fma.f64 -1/2 x 1/2))))))
(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 (fma.f64 -1/2 x 1/2))))))
(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 -1/2 x 1/2))))
(-.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 -1/2 x 1/2))))
(-.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 -1/2 x 1/2))))
(-.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 -1/2 x 1/2))))
(-.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 -1/2 x 1/2))))
(-.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 -1/2 x 1/2))))
(-.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 -1/2 x 1/2))))
(-.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 -1/2 x 1/2))))
(-.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 -1/2 x 1/2))))
(-.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 -1/2 x 1/2))))
(-.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 -1/2 x 1/2))))
(-.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 -1/2 x 1/2))))
(-.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 -1/2 x 1/2)))
(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 -1/2 x 1/2)))
(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 -1/2 x 1/2)))
(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 -1/2 x 1/2)))
(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 -1/2 x 1/2)))
(acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
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(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 (PI.f64) 1/2))) 1)
(cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 (PI.f64) 1/2)))))
(cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 (PI.f64) 1/2)))))
(cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(exp.f64 (log.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 (PI.f64) 1/2)))))
(cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 (PI.f64) 1/2)))))
(cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
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(*.f64 1/3 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(*.f64 1/3 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))) (cbrt.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))) (cbrt.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))))
(*.f64 1/3 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(*.f64 1/3 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (sqrt.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))) (sqrt.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))))
(*.f64 1/3 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(*.f64 1/3 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
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(*.f64 1/3 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(*.f64 1/3 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
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(*.f64 1/3 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(*.f64 1/3 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
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(*.f64 1/3 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(*.f64 1/3 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(exp.f64 (log.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))))
(*.f64 1/3 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(*.f64 1/3 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
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(*.f64 1/3 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(*.f64 1/3 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 1 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (sqrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1)
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(cbrt.f64 (*.f64 (*.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (log.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 1 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 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))))))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 1)
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(cbrt.f64 (*.f64 (*.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))))))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
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(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
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(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
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(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (exp.f64 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
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(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (log.f64 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log1p.f64 (expm1.f64 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
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(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 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 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))
(+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.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 -1/2 x 1/2))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 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))
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(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 1 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2)))) (cbrt.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2))))) (cbrt.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2)))) (sqrt.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(pow.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2))) 1)
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (exp.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2))) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2)))) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (log.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)
(*.f64 1 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)
(*.f64 (*.f64 (cbrt.f64 (pow.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)))) 2))) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)
(*.f64 (sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)
(log.f64 (exp.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 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 1/2 x)))) 2)))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 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 1/2 x)))) 2)))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)

eval201.0ms (1%)

Compiler

Compiled 8948 to 7749 computations (13.4% saved)

prune163.0ms (0.8%)

Pruning

36 alts after pruning (33 fresh and 3 done)

PrunedKeptTotal
New29320313
Fresh61319
Picked325
Done011
Total30236338
Accurracy
10.7%
Counts
338 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.3%
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 2) (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
7.3%
(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))
7.6%
(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))
7.6%
(fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
1.1%
(pow.f64 (pow.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1/3) 3)
7.6%
(pow.f64 (log.f64 (exp.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 (PI.f64) 1/2))))) 3)
7.6%
(pow.f64 (cbrt.f64 (+.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2) (*.f64 (PI.f64) 1/2))) 3)
7.6%
(pow.f64 (cbrt.f64 (log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 (PI.f64) 1/2))))) 3)
7.6%
(pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 (PI.f64) 1/2))))) 3)
7.6%
(/.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) -64)) (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (fma.f64 (pow.f64 (PI.f64) 2) (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))) 4) 16)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
7.6%
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)) 1/16) (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4))) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
7.6%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))) (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)))
8.9%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
7.7%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))) (fma.f64 2 (asin.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 (PI.f64) 1/2)))
8.9%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (cbrt.f64 (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
7.7%
(/.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 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))
7.7%
(/.f64 (*.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))) (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))))) (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
7.7%
(-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2))) (/.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2))))
8.9%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
5.3%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
7.4%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
7.4%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
7.6%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
4.2%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
7.6%
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))) (/.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))))
7.5%
(*.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))))))))
7.6%
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 1/3)))
7.4%
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))
7.6%
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))))))
7.7%
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
7.7%
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
7.6%
(log.f64 (exp.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2)))))
7.6%
(log.f64 (exp.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
7.6%
(expm1.f64 (log1p.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
1.1%
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) 3))
1.1%
(exp.f64 (log.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
7.3%
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 2) (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
7.3%
(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))
7.6%
(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))
7.6%
(fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
1.1%
(pow.f64 (pow.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1/3) 3)
7.6%
(pow.f64 (log.f64 (exp.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 (PI.f64) 1/2))))) 3)
7.6%
(pow.f64 (cbrt.f64 (+.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2) (*.f64 (PI.f64) 1/2))) 3)
7.6%
(pow.f64 (cbrt.f64 (log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 (PI.f64) 1/2))))) 3)
7.6%
(pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 (PI.f64) 1/2))))) 3)
7.6%
(/.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) -64)) (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (fma.f64 (pow.f64 (PI.f64) 2) (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))) 4) 16)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
7.6%
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)) 1/16) (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4))) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
7.6%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))) (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)))
8.9%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
7.7%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))) (fma.f64 2 (asin.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 (PI.f64) 1/2)))
8.9%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (cbrt.f64 (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
7.7%
(/.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 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))
7.7%
(/.f64 (*.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))) (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))))) (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
7.7%
(-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2))) (/.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2))))
8.9%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
5.3%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
7.4%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
7.4%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
7.6%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
4.2%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
7.6%
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))) (/.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))))
7.5%
(*.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))))))))
7.6%
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 1/3)))
7.4%
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))
7.6%
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))))))
7.7%
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
7.7%
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
7.6%
(log.f64 (exp.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2)))))
7.6%
(log.f64 (exp.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
7.6%
(expm1.f64 (log1p.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
1.1%
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) 3))
1.1%
(exp.f64 (log.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
Compiler

Compiled 3808 to 3478 computations (8.7% saved)

localize4.2s (20.3%)

Local Accuracy

Found 20 expressions with local accuracy:

NewAccuracyProgram
98.5%
(asin.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
98.5%
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
98.5%
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
9.1%
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2)))
98.8%
(pow.f64 (log.f64 (exp.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 (PI.f64) 1/2))))) 3)
98.5%
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
13.1%
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 (PI.f64) 1/2)))))
9.0%
(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 (PI.f64) 1/2))
99.7%
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (+.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))))
9.0%
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
9.0%
(log.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
100.0%
(/.f64 2 (-.f64 1 x))
98.5%
(asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
98.5%
(/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))
9.0%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
99.9%
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
99.5%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 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))))
9.1%
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2)))
Compiler

Compiled 605 to 506 computations (16.4% saved)

series36.0ms (0.2%)

Counts
16 → 168
Calls

48 calls:

TimeVariablePointExpression
9.0ms
x
@inf
(log.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
8.0ms
x
@-inf
(log.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
8.0ms
x
@0
(log.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
1.0ms
x
@0
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
1.0ms
x
@-inf
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2)))

rewrite186.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1006×add-sqr-sqrt
986×pow1
948×add-exp-log
946×log1p-expm1-u
944×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059594
11290594
Stop Event
node limit
Counts
16 → 193
Calls
Call 1
Inputs
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2)))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))
(asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
(/.f64 2 (-.f64 1 x))
(log.f64 (cbrt.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) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 (PI.f64) 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 (PI.f64) 1/2))
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 (PI.f64) 1/2)))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(pow.f64 (log.f64 (exp.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 (PI.f64) 1/2))))) 3)
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(asin.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
Outputs
(+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (neg.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))))
(+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))
(+.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) 4 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))))
(*.f64 1 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 3) (pow.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) 3)) (+.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (+.f64 (*.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))))))
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(exp.f64 (log.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
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(*.f64 2 (/.f64 1 (-.f64 1 x)))
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(exp.f64 (log.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))))
(log1p.f64 (expm1.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))))
(*.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(*.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3/2))
(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (-.f64 (*.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 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.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 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3)
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(cbrt.f64 (*.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 (PI.f64) 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 x -1/2)))) -2 (*.f64 (PI.f64) 1/2))
(pow.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) 3) 1)
(log.f64 (exp.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) 3)))
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(+.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 1 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(*.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
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(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (-.f64 (*.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 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
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(pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3)
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(cbrt.f64 (*.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(*.f64 1 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (cbrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) (cbrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (sqrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 1)
(cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(exp.f64 (log.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
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(+.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 1 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(*.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
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(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.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))))))
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 1)
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (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))))))
(exp.f64 (log.f64 (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))))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.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))))))
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 (PI.f64) 1/2))
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(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
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(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
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(fma.f64 (PI.f64) 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 x -1/2)))) -2 (*.f64 (PI.f64) 1/2))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 1)
(*.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (sqrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(pow.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 1)
(pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/2)
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 x -1/2)) (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -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 1 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(*.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (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 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.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 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.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))))))
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 1)
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (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))))))
(exp.f64 (log.f64 (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))))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))

simplify210.0ms (1%)

Algorithm
egg-herbie
Rules
844×associate-*r*
796×associate-*l*
756×unswap-sqr
744×times-frac
658×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044213937
1113613349
2461313287
Stop Event
node limit
Counts
361 → 248
Calls
Call 1
Inputs
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) 2)))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) 2))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) 2))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) 2))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) 2))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64))))
(-.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)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))))
(/.f64 1 (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 x (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 -1/8 (/.f64 (pow.f64 x 2) (sqrt.f64 2)))))
(+.f64 (*.f64 -1/16 (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (+.f64 (*.f64 -1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 -1/8 (/.f64 (pow.f64 x 2) (sqrt.f64 2))))))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))
2
(+.f64 (*.f64 2 x) 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 2))
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 2)))
(/.f64 -2 x)
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -2 x)
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(log.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) 1/3))
(log.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) 1/3))
(log.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) 1/3))
(log.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) 1/3))
(log.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 1/3))
(log.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 1/3))
(log.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 1/3))
(log.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 1/3))
(log.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) 1/3))
(log.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) 1/3))
(log.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) 1/3))
(log.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) 1/3))
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
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(*.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (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 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.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 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.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))))))
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 1)
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (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))))))
(exp.f64 (log.f64 (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))))))
(fma.f64 (PI.f64) 1/2 (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 (PI.f64) 1/2) (neg.f64 (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(*.f64 1 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))) (cbrt.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))))) (cbrt.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))) (sqrt.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))))
(pow.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))) 1)
(log.f64 (exp.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
(exp.f64 (log.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
(*.f64 1 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (cbrt.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))) (cbrt.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))
(*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (sqrt.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))
(pow.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) -1)
(pow.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))) 1)
(log.f64 (exp.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))) (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))
(expm1.f64 (log1p.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))
(exp.f64 (log.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))
(log1p.f64 (expm1.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))
(*.f64 1 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))
(*.f64 (*.f64 (cbrt.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))) (cbrt.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))) (cbrt.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(*.f64 (sqrt.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))) (sqrt.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 1)
(log.f64 (exp.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(cbrt.f64 (*.f64 (*.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))) (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(expm1.f64 (log1p.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(exp.f64 (log.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(log1p.f64 (expm1.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(*.f64 2 (/.f64 1 (-.f64 1 x)))
(*.f64 1 (/.f64 2 (-.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (sqrt.f64 (/.f64 2 (-.f64 1 x))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) (cbrt.f64 (/.f64 2 (-.f64 1 x)))) (cbrt.f64 (/.f64 2 (-.f64 1 x))))
(pow.f64 (/.f64 2 (-.f64 1 x)) 1)
(log.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 2 (-.f64 1 x)) (/.f64 2 (-.f64 1 x))) (/.f64 2 (-.f64 1 x))))
(expm1.f64 (log1p.f64 (/.f64 2 (-.f64 1 x))))
(exp.f64 (log.f64 (/.f64 2 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (/.f64 2 (-.f64 1 x))))
(*.f64 1 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))) (cbrt.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))) (cbrt.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))))
(*.f64 (sqrt.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))) (sqrt.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))))
(pow.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))))
(expm1.f64 (log1p.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))))
(exp.f64 (log.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))))
(log1p.f64 (expm1.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))))
(*.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(*.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3/2))
(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (-.f64 (*.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 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.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 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3)
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(cbrt.f64 (*.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 (PI.f64) 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 x -1/2)))) -2 (*.f64 (PI.f64) 1/2))
(pow.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) 3) 1)
(log.f64 (exp.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) 3)))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) 3) (*.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) 3)) (*.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) 3)))
(exp.f64 (log.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) 3)))
(log1p.f64 (expm1.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) 3)))
(+.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 1 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(*.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3/2))
(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (-.f64 (*.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 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.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 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3)
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(cbrt.f64 (*.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(*.f64 1 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (cbrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) (cbrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (sqrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 1)
(cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(exp.f64 (log.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -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 1 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(*.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (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 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.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 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.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))))))
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 1)
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (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))))))
(exp.f64 (log.f64 (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))))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.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))))))
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 (PI.f64) 1/2))
(*.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(*.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3/2))
(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (-.f64 (*.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 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.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 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(cbrt.f64 (*.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 (PI.f64) 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 x -1/2)))) -2 (*.f64 (PI.f64) 1/2))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 1)
(*.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (sqrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(pow.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 1)
(pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/2)
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 x -1/2)) (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -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 1 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(*.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (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 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.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 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.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))))))
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 1)
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (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))))))
(exp.f64 (log.f64 (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))))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
Outputs
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2)))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 -4 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) -4))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2)))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 -4 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) -4))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2)))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 -4 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) -4))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2)))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 -4 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) -4))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2)))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 -4 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) -4))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2)))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 -4 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) -4))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2)))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 -4 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) -4))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2)))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 -4 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 2)))
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(fma.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(fma.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(fma.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2))
(exp.f64 (log.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(fma.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(fma.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2))
(*.f64 1 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
(/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (cbrt.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))) (cbrt.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))
(/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (sqrt.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))
(/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))
(pow.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) -1)
(/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))
(pow.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))) 1)
(/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))
(log.f64 (exp.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))
(/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))) (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))
(/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))
(expm1.f64 (log1p.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))
(/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))
(exp.f64 (log.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))
(/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))
(/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))
(*.f64 1 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))
(asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
(*.f64 (*.f64 (cbrt.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))) (cbrt.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))) (cbrt.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))) (sqrt.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
(pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 1)
(asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
(log.f64 (exp.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
(cbrt.f64 (*.f64 (*.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))) (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
(expm1.f64 (log1p.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
(exp.f64 (log.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
(*.f64 2 (/.f64 1 (-.f64 1 x)))
(/.f64 2 (-.f64 1 x))
(*.f64 1 (/.f64 2 (-.f64 1 x)))
(/.f64 2 (-.f64 1 x))
(*.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (sqrt.f64 (/.f64 2 (-.f64 1 x))))
(/.f64 2 (-.f64 1 x))
(*.f64 (*.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) (cbrt.f64 (/.f64 2 (-.f64 1 x)))) (cbrt.f64 (/.f64 2 (-.f64 1 x))))
(/.f64 2 (-.f64 1 x))
(pow.f64 (/.f64 2 (-.f64 1 x)) 1)
(/.f64 2 (-.f64 1 x))
(log.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))
(/.f64 2 (-.f64 1 x))
(cbrt.f64 (*.f64 (*.f64 (/.f64 2 (-.f64 1 x)) (/.f64 2 (-.f64 1 x))) (/.f64 2 (-.f64 1 x))))
(/.f64 2 (-.f64 1 x))
(expm1.f64 (log1p.f64 (/.f64 2 (-.f64 1 x))))
(/.f64 2 (-.f64 1 x))
(exp.f64 (log.f64 (/.f64 2 (-.f64 1 x))))
(/.f64 2 (-.f64 1 x))
(log1p.f64 (expm1.f64 (/.f64 2 (-.f64 1 x))))
(/.f64 2 (-.f64 1 x))
(*.f64 1 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))
(*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))) (cbrt.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))) (cbrt.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))))
(*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (sqrt.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))) (sqrt.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))))
(*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(pow.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) 1)
(*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))))
(*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(expm1.f64 (log1p.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))))
(*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(exp.f64 (log.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))))
(*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log1p.f64 (expm1.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))))
(*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3/2))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (-.f64 (*.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 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (-.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 (PI.f64) 1/2)))))
(/.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 1/4 (pow.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (*.f64 (PI.f64) -1)))))
(/.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 1/4 (pow.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4 (neg.f64 (*.f64 (PI.f64) -1))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.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 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1)
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3)
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(cbrt.f64 (*.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2 (*.f64 (PI.f64) 1/2))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
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(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
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(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
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(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.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) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.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 (-.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 1/4 (pow.f64 (PI.f64) 2) (*.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 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.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 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.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 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)))))
(/.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)))))
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 1)
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(cbrt.f64 (*.f64 (pow.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 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(fma.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 (fma.f64 -1/2 x 1/2))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))

eval276.0ms (1.3%)

Compiler

Compiled 9889 to 8602 computations (13% saved)

prune165.0ms (0.8%)

Pruning

39 alts after pruning (35 fresh and 4 done)

PrunedKeptTotal
New2999308
Fresh22628
Picked415
Done033
Total30539344
Accurracy
10.7%
Counts
344 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.3%
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 2) (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
7.3%
(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))
7.6%
(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))
7.6%
(fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
1.1%
(pow.f64 (pow.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1/3) 3)
8.9%
(pow.f64 (log.f64 (exp.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2 (*.f64 (PI.f64) 1/2))))) 3)
7.6%
(pow.f64 (log.f64 (exp.f64 (cbrt.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) 3)
7.6%
(pow.f64 (cbrt.f64 (+.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2) (*.f64 (PI.f64) 1/2))) 3)
7.6%
(pow.f64 (cbrt.f64 (log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 (PI.f64) 1/2))))) 3)
7.6%
(pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 (PI.f64) 1/2))))) 3)
7.6%
(/.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) -64)) (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (fma.f64 (pow.f64 (PI.f64) 2) (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))) 4) 16)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
7.6%
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)) 1/16) (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4))) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
7.5%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))) 3)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))))))
7.7%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))) (fma.f64 2 (asin.f64 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 1)) (*.f64 (PI.f64) 1/2)))
8.9%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (cbrt.f64 (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
8.9%
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))
7.7%
(/.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 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))
7.7%
(/.f64 (*.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))) (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))))) (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 (PI.f64) 1/2)))
1.2%
(/.f64 (exp.f64 (log.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 (PI.f64) 1/2)))
7.7%
(-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2))) (/.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2))))
8.9%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
5.3%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
7.4%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
3.9%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
7.6%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
4.2%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
7.6%
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))) (/.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))))
7.5%
(*.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))))))))
7.6%
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 1/3)))
7.4%
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))
7.6%
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))))))
7.4%
(log1p.f64 (expm1.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
7.7%
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
7.7%
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
7.6%
(log.f64 (exp.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2)))))
7.6%
(log.f64 (exp.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
7.6%
(expm1.f64 (log1p.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
1.1%
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) 3))
1.1%
(exp.f64 (log.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
7.3%
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 2) (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
7.3%
(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))
7.6%
(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))
7.6%
(fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
1.1%
(pow.f64 (pow.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1/3) 3)
8.9%
(pow.f64 (log.f64 (exp.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2 (*.f64 (PI.f64) 1/2))))) 3)
7.6%
(pow.f64 (log.f64 (exp.f64 (cbrt.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) 3)
7.6%
(pow.f64 (cbrt.f64 (+.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2) (*.f64 (PI.f64) 1/2))) 3)
7.6%
(pow.f64 (cbrt.f64 (log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 (PI.f64) 1/2))))) 3)
7.6%
(pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 (PI.f64) 1/2))))) 3)
7.6%
(/.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) -64)) (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (fma.f64 (pow.f64 (PI.f64) 2) (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))) 4) 16)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
7.6%
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)) 1/16) (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4))) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
7.5%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))) 3)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))))))
7.7%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))) (fma.f64 2 (asin.f64 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 1)) (*.f64 (PI.f64) 1/2)))
8.9%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (cbrt.f64 (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
8.9%
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))
7.7%
(/.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 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))
7.7%
(/.f64 (*.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))) (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))))) (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 (PI.f64) 1/2)))
1.2%
(/.f64 (exp.f64 (log.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 (PI.f64) 1/2)))
7.7%
(-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2))) (/.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2))))
8.9%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
5.3%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
7.4%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
3.9%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
7.6%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
4.2%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
7.6%
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))) (/.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))))
7.5%
(*.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))))))))
7.6%
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 1/3)))
7.4%
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))
7.6%
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))))))
7.4%
(log1p.f64 (expm1.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
7.7%
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
7.7%
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
7.6%
(log.f64 (exp.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2)))))
7.6%
(log.f64 (exp.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
7.6%
(expm1.f64 (log1p.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
1.1%
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) 3))
1.1%
(exp.f64 (log.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
Compiler

Compiled 4106 to 3758 computations (8.5% saved)

localize3.9s (18.7%)

Local Accuracy

Found 19 expressions with local accuracy:

NewAccuracyProgram
99.3%
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
99.2%
(sqrt.f64 (*.f64 (PI.f64) 1/2))
55.6%
(-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
49.7%
(PI.f64)
99.3%
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
55.7%
(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 (PI.f64) 1/2))))
55.7%
(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 (PI.f64) 1/2))
49.7%
(PI.f64)
99.3%
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
96.1%
(pow.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1/3)
55.7%
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
49.7%
(PI.f64)
99.2%
(/.f64 1 (sqrt.f64 2))
99.2%
(asin.f64 (/.f64 1 (sqrt.f64 2)))
49.7%
(PI.f64)
99.4%
(pow.f64 (log.f64 (exp.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2 (*.f64 (PI.f64) 1/2))))) 3)
58.1%
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2 (*.f64 (PI.f64) 1/2)))))
55.7%
(fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2 (*.f64 (PI.f64) 1/2))
49.7%
(PI.f64)
Compiler

Compiled 465 to 390 computations (16.1% saved)

series15.0ms (0.1%)

Counts
15 → 68
Calls

21 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2 (*.f64 (PI.f64) 1/2)))))
2.0ms
x
@inf
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2 (*.f64 (PI.f64) 1/2)))))
2.0ms
x
@0
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2 (*.f64 (PI.f64) 1/2)))))
1.0ms
x
@-inf
(-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
1.0ms
x
@0
(-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))

rewrite113.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
782×add-sqr-sqrt
758×pow1
750×*-un-lft-identity
732×add-exp-log
728×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
047375
11010339
Stop Event
node limit
Counts
15 → 296
Calls
Call 1
Inputs
(PI.f64)
(fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2 (*.f64 (PI.f64) 1/2))
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2 (*.f64 (PI.f64) 1/2)))))
(pow.f64 (log.f64 (exp.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2 (*.f64 (PI.f64) 1/2))))) 3)
(PI.f64)
(asin.f64 (/.f64 1 (sqrt.f64 2)))
(/.f64 1 (sqrt.f64 2))
(PI.f64)
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(pow.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1/3)
(PI.f64)
(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 (PI.f64) 1/2))))
(PI.f64)
(-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(sqrt.f64 (*.f64 (PI.f64) 1/2))
Outputs
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 1 (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(log1p.f64 (expm1.f64 (PI.f64)))
(+.f64 (*.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (*.f64 (PI.f64) 1/2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) 1)
(*.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 2))
(*.f64 1 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) 2) 3) (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) 3))
(pow.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 2) 3/2)
(pow.f64 (pow.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 2)
(log.f64 (exp.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(exp.f64 (log.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(+.f64 0 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))) 1)
(*.f64 1 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))))
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 1/3) (pow.f64 (sqrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 1/3))
(pow.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) 3)
(pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) 2)
(cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))
(expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))))
(exp.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))))
(+.f64 (*.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (*.f64 (PI.f64) 1/2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) 1)
(*.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 2))
(*.f64 1 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) 2) 3) (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) 3))
(log.f64 (exp.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(exp.f64 (log.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 1 (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(log1p.f64 (expm1.f64 (PI.f64)))
(-.f64 (/.f64 (PI.f64) 2) (acos.f64 (pow.f64 2 -1/2)))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (pow.f64 2 -1/2)))) 1)
(*.f64 1 (asin.f64 (pow.f64 2 -1/2)))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (pow.f64 2 -1/2))) 2) (cbrt.f64 (asin.f64 (pow.f64 2 -1/2))))
(*.f64 (sqrt.f64 (asin.f64 (pow.f64 2 -1/2))) (sqrt.f64 (asin.f64 (pow.f64 2 -1/2))))
(pow.f64 (asin.f64 (pow.f64 2 -1/2)) 1)
(pow.f64 (cbrt.f64 (asin.f64 (pow.f64 2 -1/2))) 3)
(pow.f64 (pow.f64 (asin.f64 (pow.f64 2 -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (asin.f64 (pow.f64 2 -1/2))) 2)
(log.f64 (exp.f64 (asin.f64 (pow.f64 2 -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (pow.f64 2 -1/2)))))
(cbrt.f64 (pow.f64 (asin.f64 (pow.f64 2 -1/2)) 3))
(expm1.f64 (log1p.f64 (asin.f64 (pow.f64 2 -1/2))))
(exp.f64 (log.f64 (asin.f64 (pow.f64 2 -1/2))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (pow.f64 2 -1/2))) 1))
(log1p.f64 (expm1.f64 (asin.f64 (pow.f64 2 -1/2))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 2 -1/2))) 1)
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(*.f64 (pow.f64 (cbrt.f64 (pow.f64 2 -1/2)) 2) (cbrt.f64 (pow.f64 2 -1/2)))
(*.f64 (sqrt.f64 (pow.f64 2 -1/2)) (sqrt.f64 (pow.f64 2 -1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2) -1) (pow.f64 (cbrt.f64 (sqrt.f64 2)) -1))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 2)) -1) (pow.f64 (sqrt.f64 (sqrt.f64 2)) -1))
(pow.f64 2 -1/2)
(pow.f64 (sqrt.f64 2) -1)
(pow.f64 (pow.f64 2 -1/2) 1)
(pow.f64 (cbrt.f64 (pow.f64 2 -1/2)) 3)
(pow.f64 (*.f64 1/2 (pow.f64 2 -1/2)) 1/3)
(pow.f64 (sqrt.f64 (pow.f64 2 -1/2)) 2)
(pow.f64 (/.f64 (sqrt.f64 2) 1) -1)
(log.f64 (exp.f64 (pow.f64 2 -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 2 -1/2))))
(cbrt.f64 (*.f64 1/2 (pow.f64 2 -1/2)))
(expm1.f64 (log1p.f64 (pow.f64 2 -1/2)))
(exp.f64 (log.f64 (pow.f64 2 -1/2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 2)) -1))
(exp.f64 (*.f64 (log.f64 (pow.f64 2 -1/2)) 1))
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(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
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(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
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(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
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(-.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 1)
(*.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
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(*.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (-.f64 (pow.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
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(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 3)
(pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1)
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 2)
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (pow.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2)))
(log.f64 (*.f64 (pow.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (pow.f64 (exp.f64 1/2) (PI.f64))))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -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 (fma.f64 x -1/2 1/2)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2) (cbrt.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (sqrt.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 (PI.f64) 1/2))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) 1)
(*.f64 1 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (sqrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
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(*.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
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(exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 1))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(fma.f64 1 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(fma.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))) 1)
(*.f64 1 (sqrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 1/2))
(pow.f64 (*.f64 (PI.f64) 1/2) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3)
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 2)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) 1/3)
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 1/2)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))

simplify138.0ms (0.7%)

Algorithm
egg-herbie
Rules
954×log-prod
726×exp-prod
660×sqr-pow
598×fma-neg
452×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045811832
1102611574
2332111390
Stop Event
node limit
Counts
364 → 250
Calls
Call 1
Inputs
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(pow.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64))) 1/3)
(pow.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64))) 1/3)
(pow.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64))) 1/3)
(pow.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64))) 1/3)
(pow.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64))) 1/3)
(pow.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64))) 1/3)
(pow.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64))) 1/3)
(pow.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64))) 1/3)
(pow.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64))) 1/3)
(pow.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64))) 1/3)
(pow.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64))) 1/3)
(pow.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64))) 1/3)
(pow.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64))) 2) (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))))) (*.f64 1/2 (PI.f64)))) 1/3)
(pow.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64))) 2) (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))))) (*.f64 1/2 (PI.f64)))) 1/3)
(pow.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64))) 2) (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))))) (*.f64 1/2 (PI.f64)))) 1/3)
(pow.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64))) 2) (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))))) (*.f64 1/2 (PI.f64)))) 1/3)
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64))))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64))))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64))))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64))))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64))))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64))))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64))))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(pow.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) 1/3)
(pow.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) 1/3)
(pow.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) 1/3)
(pow.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) 1/3)
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(-.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(-.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(-.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(-.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(-.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(-.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(-.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(-.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(-.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(-.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(-.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(-.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 1 (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(log1p.f64 (expm1.f64 (PI.f64)))
(+.f64 (*.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (*.f64 (PI.f64) 1/2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) 1)
(*.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 2))
(*.f64 1 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) 2) 3) (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) 3))
(pow.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 2) 3/2)
(pow.f64 (pow.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 2)
(log.f64 (exp.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(exp.f64 (log.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(+.f64 0 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))) 1)
(*.f64 1 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))))
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 1/3) (pow.f64 (sqrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 1/3))
(pow.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) 3)
(pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) 2)
(cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))
(expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))))
(exp.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))))
(+.f64 (*.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (*.f64 (PI.f64) 1/2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) 1)
(*.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 2))
(*.f64 1 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) 2) 3) (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) 3))
(log.f64 (exp.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(exp.f64 (log.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 1 (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(log1p.f64 (expm1.f64 (PI.f64)))
(-.f64 (/.f64 (PI.f64) 2) (acos.f64 (pow.f64 2 -1/2)))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (pow.f64 2 -1/2)))) 1)
(*.f64 1 (asin.f64 (pow.f64 2 -1/2)))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (pow.f64 2 -1/2))) 2) (cbrt.f64 (asin.f64 (pow.f64 2 -1/2))))
(*.f64 (sqrt.f64 (asin.f64 (pow.f64 2 -1/2))) (sqrt.f64 (asin.f64 (pow.f64 2 -1/2))))
(pow.f64 (asin.f64 (pow.f64 2 -1/2)) 1)
(pow.f64 (cbrt.f64 (asin.f64 (pow.f64 2 -1/2))) 3)
(pow.f64 (pow.f64 (asin.f64 (pow.f64 2 -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (asin.f64 (pow.f64 2 -1/2))) 2)
(log.f64 (exp.f64 (asin.f64 (pow.f64 2 -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (pow.f64 2 -1/2)))))
(cbrt.f64 (pow.f64 (asin.f64 (pow.f64 2 -1/2)) 3))
(expm1.f64 (log1p.f64 (asin.f64 (pow.f64 2 -1/2))))
(exp.f64 (log.f64 (asin.f64 (pow.f64 2 -1/2))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (pow.f64 2 -1/2))) 1))
(log1p.f64 (expm1.f64 (asin.f64 (pow.f64 2 -1/2))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 2 -1/2))) 1)
(*.f64 1 (pow.f64 2 -1/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 2 -1/2)) 2) (cbrt.f64 (pow.f64 2 -1/2)))
(*.f64 (sqrt.f64 (pow.f64 2 -1/2)) (sqrt.f64 (pow.f64 2 -1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2) -1) (pow.f64 (cbrt.f64 (sqrt.f64 2)) -1))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 2)) -1) (pow.f64 (sqrt.f64 (sqrt.f64 2)) -1))
(pow.f64 2 -1/2)
(pow.f64 (sqrt.f64 2) -1)
(pow.f64 (pow.f64 2 -1/2) 1)
(pow.f64 (cbrt.f64 (pow.f64 2 -1/2)) 3)
(pow.f64 (*.f64 1/2 (pow.f64 2 -1/2)) 1/3)
(pow.f64 (sqrt.f64 (pow.f64 2 -1/2)) 2)
(pow.f64 (/.f64 (sqrt.f64 2) 1) -1)
(log.f64 (exp.f64 (pow.f64 2 -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 2 -1/2))))
(cbrt.f64 (*.f64 1/2 (pow.f64 2 -1/2)))
(expm1.f64 (log1p.f64 (pow.f64 2 -1/2)))
(exp.f64 (log.f64 (pow.f64 2 -1/2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 2)) -1))
(exp.f64 (*.f64 (log.f64 (pow.f64 2 -1/2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 2 -1/2)))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 1 (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(log1p.f64 (expm1.f64 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 1)
(*.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 2) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (-.f64 (pow.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)) (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 3)
(pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1)
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 2)
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (pow.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2)))
(log.f64 (*.f64 (pow.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (pow.f64 (exp.f64 1/2) (PI.f64))))
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(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
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(+.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) (neg.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 2))))
(*.f64 1 (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (sqrt.f64 (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2)) (fma.f64 (PI.f64) 1/2 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (pow.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1/2))))
(/.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(pow.f64 (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 1)
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 3)
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 2)
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
(log.f64 (/.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 3))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 1))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(fma.f64 1 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(fma.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))) 1)
(*.f64 1 (sqrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 1/2))
(pow.f64 (*.f64 (PI.f64) 1/2) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3)
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 2)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) 1/3)
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 1/2)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
Outputs
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(pow.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64))) 1/3)
(cbrt.f64 (fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64))))
(pow.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64))) 1/3)
(cbrt.f64 (fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64))))
(pow.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64))) 1/3)
(cbrt.f64 (fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64))))
(pow.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64))) 1/3)
(cbrt.f64 (fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64))))
(pow.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64))) 1/3)
(cbrt.f64 (fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64))))
(pow.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64))) 1/3)
(cbrt.f64 (fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64))))
(pow.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64))) 1/3)
(cbrt.f64 (fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64))))
(pow.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64))) 1/3)
(cbrt.f64 (fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64))))
(pow.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64))) 1/3)
(cbrt.f64 (fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64))))
(pow.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64))) 1/3)
(cbrt.f64 (fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64))))
(pow.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64))) 1/3)
(cbrt.f64 (fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64))))
(pow.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64))) 1/3)
(cbrt.f64 (fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64))))
(pow.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64))) 2) (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))))) (*.f64 1/2 (PI.f64)))) 1/3)
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(pow.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64))) 2) (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))))) (*.f64 1/2 (PI.f64)))) 1/3)
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(pow.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64))) 2) (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))))) (*.f64 1/2 (PI.f64)))) 1/3)
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(pow.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64))) 2) (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))))) (*.f64 1/2 (PI.f64)))) 1/3)
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64))))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64))))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64))))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64))))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64))))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 3))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(exp.f64 (log.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 1))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
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(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 0 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(cbrt.f64 (fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64))))
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(cbrt.f64 (fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64))))
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(cbrt.f64 (fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64))))
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(cbrt.f64 (fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64))))
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(cbrt.f64 (fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64))))
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(cbrt.f64 (fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(cbrt.f64 (fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64))))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 1/3) (pow.f64 (sqrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64))))) (cbrt.f64 (sqrt.f64 (fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64))))))
(pow.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 1/3)
(cbrt.f64 (fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64))))
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 1)
(cbrt.f64 (fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64))))
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) 3)
(cbrt.f64 (fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64))))
(pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) 2)
(cbrt.f64 (fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64))))
(cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))
(cbrt.f64 (fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64))))
(expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))))
(cbrt.f64 (fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64))))
(exp.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))))
(cbrt.f64 (fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 1/3))
(cbrt.f64 (fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) 1))
(cbrt.f64 (fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64))))
(log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))))
(cbrt.f64 (fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64))))
(+.f64 (*.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (*.f64 (PI.f64) 1/2))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) 1)
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 2))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(*.f64 1 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) 2) 3) (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) 3))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
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(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)))))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 3))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(exp.f64 (log.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 1))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
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(sqrt.f64 (*.f64 1/2 (PI.f64)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
(sqrt.f64 (*.f64 1/2 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 1/2)) 1/2))
(sqrt.f64 (*.f64 1/2 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 1))
(sqrt.f64 (*.f64 1/2 (PI.f64)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
(sqrt.f64 (*.f64 1/2 (PI.f64)))

eval213.0ms (1%)

Compiler

Compiled 10710 to 9280 computations (13.4% saved)

prune155.0ms (0.7%)

Pruning

50 alts after pruning (43 fresh and 7 done)

PrunedKeptTotal
New38515400
Fresh22830
Picked235
Done044
Total38950439
Accurracy
10.7%
Counts
439 → 50
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.3%
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 2) (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
7.3%
(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))
7.6%
(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))
7.6%
(fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
6.2%
(pow.f64 (pow.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 1/3) 3)
1.1%
(pow.f64 (pow.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1/3) 3)
8.9%
(pow.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))))) 3)
8.9%
(pow.f64 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))))))) 3)
8.9%
(pow.f64 (*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))))))) 3)
7.6%
(pow.f64 (log.f64 (exp.f64 (cbrt.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) 3)
8.9%
(pow.f64 (log.f64 (exp.f64 (cbrt.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))))) 3)
8.9%
(pow.f64 (log.f64 (exp.f64 (cbrt.f64 (log.f64 (exp.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))))) 3)
7.6%
(pow.f64 (cbrt.f64 (+.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2) (*.f64 (PI.f64) 1/2))) 3)
8.9%
(pow.f64 (cbrt.f64 (log.f64 (exp.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2 (*.f64 (PI.f64) 1/2))))) 3)
7.6%
(pow.f64 (cbrt.f64 (log.f64 (exp.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) 3)
7.6%
(pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 (PI.f64) 1/2))))) 3)
7.6%
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)) 1/16) (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4))) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
7.5%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))) 3)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))))))
7.7%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))) (fma.f64 2 (asin.f64 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 1)) (*.f64 (PI.f64) 1/2)))
8.9%
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))
7.7%
(/.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 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))
7.7%
(/.f64 (*.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))) (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))))) (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 (PI.f64) 1/2)))
1.2%
(/.f64 (exp.f64 (log.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 (PI.f64) 1/2)))
7.7%
(-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2))) (/.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2))))
8.9%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
5.3%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
7.4%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
3.9%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
7.6%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
4.2%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
7.6%
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))) (/.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))))
7.5%
(*.f64 (+.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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))))))))
7.4%
(*.f64 (+.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 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
7.6%
(*.f64 (+.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 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
1.1%
(*.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 3) 1/3))
7.5%
(*.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 3))
7.6%
(*.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 (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3/2) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 3/2)) (fma.f64 1/2 (PI.f64) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (sqrt.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))))
7.5%
(*.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))))))))
7.5%
(*.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (log.f64 (exp.f64 (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
7.6%
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 1/3)))
7.4%
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))
7.6%
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))))))
7.4%
(log1p.f64 (expm1.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
7.7%
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
7.7%
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
7.6%
(log.f64 (exp.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2)))))
7.6%
(log.f64 (exp.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
7.6%
(expm1.f64 (log1p.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
1.1%
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) 3))
1.1%
(exp.f64 (log.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
Compiler

Compiled 3226 to 2867 computations (11.1% saved)

regimes153.0ms (0.7%)

Counts
69 → 1
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 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)))))))
(exp.f64 (log.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(log.f64 (exp.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(pow.f64 (cbrt.f64 (+.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2) (*.f64 (PI.f64) 1/2))) 3)
(log1p.f64 (expm1.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
(pow.f64 (pow.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1/3) 3)
(exp.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 3)
(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 3) 1/3)
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 1/3)))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
(pow.f64 (pow.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 1/3) 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))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) 3))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(pow.f64 (cbrt.f64 (log.f64 (exp.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) 3)
(pow.f64 (log.f64 (exp.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 (cbrt.f64 (expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 (PI.f64) 1/2))))) 3)
(pow.f64 (cbrt.f64 (log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 (PI.f64) 1/2))))) 3)
(pow.f64 (log.f64 (exp.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 (PI.f64) 1/2))))) 3)
(pow.f64 (log.f64 (exp.f64 (cbrt.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))))) 3)
(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))
(fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (*.f64 2 (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 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))
(pow.f64 (cbrt.f64 (log.f64 (exp.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2 (*.f64 (PI.f64) 1/2))))) 3)
(pow.f64 (log.f64 (exp.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2 (*.f64 (PI.f64) 1/2))))) 3)
(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 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 2) (neg.f64 (cbrt.f64 (*.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 4 (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 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))) (fma.f64 2 (asin.f64 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 1)) (*.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))
(*.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 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
(pow.f64 (*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))))))) 3)
(pow.f64 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))))))) 3)
(log.f64 (exp.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2)))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))) (fma.f64 2 (asin.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 (PI.f64) 1/2)))
(pow.f64 (log.f64 (exp.f64 (cbrt.f64 (log.f64 (exp.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))))) 3)
(*.f64 (+.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 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 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))))))) (log.f64 (exp.f64 (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 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))))))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 3))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 3) 1/3))
(/.f64 (exp.f64 (log.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 (PI.f64) 1/2)))
(-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2))) (/.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))) 3)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))) (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 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))) (/.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 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (fma.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (cbrt.f64 (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)) 1/16) (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4))) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))))
(pow.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))))) 3)
(*.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 (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3/2) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 3/2)) (fma.f64 1/2 (PI.f64) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (sqrt.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))))
(/.f64 (*.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))) (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))))) (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (*.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))) (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))))) (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 (PI.f64) 1/2)))
(/.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) -64)) (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (fma.f64 (pow.f64 (PI.f64) 2) (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))) 4) 16)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 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:

50.0ms
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
31.0ms
x
7.0ms
(/.f64 (-.f64 1 x) 2)
6.0ms
(-.f64 1 x)
6.0ms
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
Results
AccuracySegmentsBranch
8.9%1x
8.9%1(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
8.9%1(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
8.9%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
8.9%1(sqrt.f64 (/.f64 (-.f64 1 x) 2))
8.9%1(/.f64 (-.f64 1 x) 2)
8.9%1(-.f64 1 x)
Compiler

Compiled 1909 to 1661 computations (13% saved)

regimes30.0ms (0.1%)

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

7 calls:

14.0ms
x
3.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
2.0ms
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
2.0ms
(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
2.0ms
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
Results
AccuracySegmentsBranch
7.6%1(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
7.6%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
7.6%1(sqrt.f64 (/.f64 (-.f64 1 x) 2))
7.6%1(/.f64 (-.f64 1 x) 2)
7.6%1(-.f64 1 x)
7.6%1(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
10.4%3x
Compiler

Compiled 127 to 111 computations (12.6% saved)

regimes6.0ms (0%)

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

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
5.8%2x
Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
4.2%1x
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch122.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
122.0ms
-2.5020251554742866e-300
2.353721936966569e-303
Results
119.0ms160×body2048valid
Compiler

Compiled 258 to 256 computations (0.8% saved)

simplify37.0ms (0.2%)

Algorithm
egg-herbie
Rules
526×unsub-neg
286×neg-mul-1
194×distribute-lft-neg-in
148×distribute-neg-out
104×distribute-lft-neg-out
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039198
172198
2121198
3151198
4189198
5218198
6235198
7364198
8706198
9958198
10960198
11983198
121016198
131051198
141087198
151104198
161108198
Stop Event
fuel
saturated
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) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(if (<=.f64 x -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.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)))))))
(-.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))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(if (<=.f64 x -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
Compiler

Compiled 67 to 62 computations (7.5% saved)

soundness217.0ms (1%)

Rules
1500×log-prod
1500×log-prod
774×fma-def
774×fma-def
718×pow-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01579
132875
2429675
01579
132875
2429675
Stop Event
node limit
node limit
Compiler

Compiled 199 to 170 computations (14.6% saved)

end66.0ms (0.3%)

Compiler

Compiled 162 to 142 computations (12.3% saved)

Profiling

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