Ian Simplification

Details

Time bar (total: 29.4s)

analyze967.0ms (3.3%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%199.9%-99.9%0%0%0%1
0%0%399.8%-299.8%0%0%0%2
0%0%799.6%-699.6%0%0%0%3
0%0%1599.2%-1499.2%0%0%0%4
0%0%3198.4%-3098.4%0%0%0%5
0%0%6396.9%-6296.9%0%0%0%6
0%0%12793.8%-12693.8%0%0%0%7
0%0%25587.5%-25487.5%0%0%0%8
0%0%51175%-51075%0%0%0%9
0%0%102350%-102250%0%0%0%10
0%0%204700%-204600%0%0%0%11
0%0%409400%-409300%0%0%0%12
Compiler

Compiled 15 to 14 computations (6.7% saved)

sample9.6s (32.5%)

Results
4.5s4183×body8192exit
2.4s4091×body1024valid
975.0ms2078×body512valid
786.0ms4120×body256invalid
554.0ms1601×body256valid
303.0ms486×body2048valid
Bogosity

preprocess33.0ms (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)

simplify29.0ms (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
6.2%
Counts
11 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.2%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
6.2%
(-.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)

localize285.0ms (1%)

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)))
7.9%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
Compiler

Compiled 52 to 43 computations (17.3% saved)

series4.0ms (0%)

Counts
3 → 28
Calls

9 calls:

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

rewrite110.0ms (0.4%)

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))))
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
(fma.f64 (PI.f64) 1/2 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) 1))
(fma.f64 2 (neg.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) 1))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) 1))
(fma.f64 1 (fma.f64 (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)))))))
(fma.f64 1 (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)))))))
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(fma.f64 1 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) (*.f64 (PI.f64) 1/2))
(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))
(fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 1 (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 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 1 (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 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 1 (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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(fma.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))) (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)))))))
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(fma.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))) (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 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) 1))
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(fma.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))) (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 (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))) (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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(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))
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(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) 1))
(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))
(fma.f64 (neg.f64 (PI.f64)) -1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
(fma.f64 (neg.f64 (PI.f64)) -1/2 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) 1))
(fma.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2))
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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 (*.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)))))))
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(+.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)))))

simplify127.0ms (0.4%)

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)))))
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(/.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)))
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(fma.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 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 -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))))))
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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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(/.f64 (sqrt.f64 (+.f64 -1 x)) (sqrt.f64 -2))
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(pow.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))) 1)
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(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 1/2 (*.f64 x 1/2))) 1) 1/2))
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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)))

eval156.0ms (0.5%)

Compiler

Compiled 6486 to 5613 computations (13.5% saved)

prune99.0ms (0.3%)

Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New24520265
Fresh000
Picked011
Done000
Total24521266
Accurracy
9.6%
Counts
266 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.1%
(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))
6.2%
(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))
6.2%
(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))
6.1%
(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))
1.8%
(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)
1.8%
(pow.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 2)
6.2%
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
6.2%
(/.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)))
6.3%
(/.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)))
7.8%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
6.2%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
6.2%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
6.2%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
3.9%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
6.2%
(+.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))))))
6.1%
(*.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))))))
6.2%
(*.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))))))
6.3%
(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)))))))))
6.3%
(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
6.2%
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
1.8%
(exp.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
6.1%
(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))
6.2%
(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))
6.2%
(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))
6.1%
(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))
1.8%
(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)
1.8%
(pow.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 2)
6.2%
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
6.2%
(/.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)))
6.3%
(/.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)))
7.8%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
6.2%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
6.2%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
6.2%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
3.9%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
6.2%
(+.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))))))
6.1%
(*.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))))))
6.2%
(*.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))))))
6.3%
(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)))))))))
6.3%
(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
6.2%
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
1.8%
(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 1840 to 1682 computations (8.6% saved)

localize3.7s (12.6%)

Local Accuracy

Found 17 expressions with local accuracy:

NewAccuracyProgram
100.0%
(sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))
98.5%
(sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
98.5%
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
6.2%
(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))
98.5%
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
98.4%
(+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))
98.4%
(expm1.f64 (*.f64 (PI.f64) 1/2))
7.9%
(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)))))))))
100.0%
(sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))
100.0%
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
98.5%
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
7.9%
(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))))
100.0%
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
7.9%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
Compiler

Compiled 343 to 285 computations (16.9% saved)

series118.0ms (0.4%)

Counts
17 → 144
Calls

42 calls:

TimeVariablePointExpression
67.0ms
x
@0
(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)))))))))
25.0ms
x
@inf
(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)))))))))
16.0ms
x
@-inf
(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)))))))))
1.0ms
x
@inf
(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))
1.0ms
x
@-inf
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))

rewrite184.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
700×add-sqr-sqrt
686×pow1
684×*-un-lft-identity
652×log1p-expm1-u
646×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036459
1763443
Stop Event
node limit
Counts
17 → 547
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))))
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(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)))))))))
(expm1.f64 (*.f64 (PI.f64) 1/2))
(+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 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))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))
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 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (fma.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (sqrt.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 0 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 1))) (fma.f64 (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1 (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 1)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2) (*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2))))
(+.f64 (fma.f64 1/2 (PI.f64) (neg.f64 (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 1))) (fma.f64 (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1 (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 1)))
(+.f64 (fma.f64 1/2 (PI.f64) (neg.f64 (*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2) (*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2))))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 1))) (fma.f64 (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1 (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 1)))
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(fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(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 1/2 x))))))
(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 1/2 x))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 1)
(*.f64 1 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 1/4) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2)) (sqrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 1/2))
(/.f64 (sqrt.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3))) (sqrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (+.f64 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (sqrt.f64 (fma.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)))) 1/2)
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 3)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3/2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 1/4) 2)
(fabs.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(log.f64 (exp.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(exp.f64 (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 1)
(*.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(*.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 x))) (cbrt.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 1/4) (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 x))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 x))) 1/2))
(/.f64 (sqrt.f64 (-.f64 1/8 (*.f64 (pow.f64 x 3) 1/8))) (sqrt.f64 (+.f64 1/4 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 1/2 (*.f64 1/2 x))))))
(/.f64 (sqrt.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/4))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 x))))
(pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 1/2)
(pow.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)
(pow.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 1/4) 2)
(fabs.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 1/2 (*.f64 1/2 x))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))

simplify327.0ms (1.1%)

Algorithm
egg-herbie
Rules
1234×log-prod
902×fma-def
816×associate-*r*
726×associate-*l*
354×sqr-pow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
082233873
1208427261
2766727261
Stop Event
node limit
Counts
691 → 469
Calls
Call 1
Inputs
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))
(+.f64 (*.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2)))))
(+.f64 (*.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (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))))))
(+.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))))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(+.f64 (*.f64 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))))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))
(+.f64 (*.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2)))))
(+.f64 (*.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (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))))))
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
(-.f64 (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1)
(-.f64 (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1)
(-.f64 (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1)
(-.f64 (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1)
(-.f64 (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1)
(-.f64 (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1)
(-.f64 (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1)
(-.f64 (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1)
(-.f64 (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) 1)
(-.f64 (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) 1)
(-.f64 (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) 1)
(-.f64 (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) 1)
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(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 1 (*.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 1 (*.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 1)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1)
(-.f64 (/.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (+.f64 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))) (/.f64 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (+.f64 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(-.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (/.f64 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) (fma.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 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)) (/.f64 1 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (+.f64 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(*.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(/.f64 1 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (+.f64 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3))))
(/.f64 1 (/.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (+.f64 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3))) (neg.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (+.f64 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (neg.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 3)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (-.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 1)
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2)
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 3)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) 1/2)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 1))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(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 1/2 x))))))
(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 1/2 x))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 1)
(*.f64 1 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 1/4) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2)) (sqrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 1/2))
(/.f64 (sqrt.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3))) (sqrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (+.f64 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (sqrt.f64 (fma.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)))) 1/2)
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 3)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3/2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 1/4) 2)
(fabs.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(log.f64 (exp.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(exp.f64 (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 1)
(*.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(*.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 x))) (cbrt.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 1/4) (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 x))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 x))) 1/2))
(/.f64 (sqrt.f64 (-.f64 1/8 (*.f64 (pow.f64 x 3) 1/8))) (sqrt.f64 (+.f64 1/4 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 1/2 (*.f64 1/2 x))))))
(/.f64 (sqrt.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/4))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 x))))
(pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 1/2)
(pow.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)
(pow.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 1/4) 2)
(fabs.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 1/2 (*.f64 1/2 x))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
Outputs
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(fma.f64 1/2 (PI.f64) (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(fma.f64 1/2 (PI.f64) (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(fma.f64 1/2 (PI.f64) (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(fma.f64 1/2 (PI.f64) (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(fma.f64 1/2 (PI.f64) (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(fma.f64 1/2 (PI.f64) (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(fma.f64 1/2 (PI.f64) (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(fma.f64 1/2 (PI.f64) (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(fma.f64 1/2 (PI.f64) (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
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(pow.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 3/2))
(cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2))
(pow.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 1/4) 2)
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(fabs.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 3/2))
(cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(exp.f64 (*.f64 (log.f64 (-.f64 1/2 (*.f64 1/2 x))) 1/2))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 1))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (fma.f64 x -1/2 1/2))

eval544.0ms (1.8%)

Compiler

Compiled 19890 to 17203 computations (13.5% saved)

prune214.0ms (0.7%)

Pruning

29 alts after pruning (25 fresh and 4 done)

PrunedKeptTotal
New66917686
Fresh7815
Picked235
Done011
Total67829707
Accurracy
9.7%
Counts
707 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.2%
(fma.f64 (*.f64 -2 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 1/4) 2)) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
6.1%
(fma.f64 (*.f64 -2 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 3)) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
6.1%
(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))
6.3%
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (pow.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 1/4) 2)))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
6.2%
(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))
4.5%
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2))
6.2%
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 3/2)))) (*.f64 (PI.f64) 1/2))
6.2%
(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))
1.8%
(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)
6.3%
(/.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)))
6.2%
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (+.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
6.3%
(-.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (/.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
7.8%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
5.5%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
6.2%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
6.2%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
6.2%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
3.9%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
7.6%
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2) (*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2))))
6.1%
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2) (*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2))))
6.2%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 1/2 (PI.f64))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 1/2 (PI.f64)))))))
6.1%
(*.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))))))
6.2%
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 1/2 (PI.f64)))))))
6.3%
(neg.f64 (log.f64 (exp.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (PI.f64) 1/2)))))
6.2%
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (pow.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 1/4) 2)))))))
6.2%
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
6.3%
(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
6.3%
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (*.f64 (+.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 (PI.f64) 1/2))) (+.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 (PI.f64) 1/2)))) 1) (+.f64 (+.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 (PI.f64) 1/2))) 1))))
6.2%
(expm1.f64 (log1p.f64 (+.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2) (*.f64 (PI.f64) 1/2))))
6.2%
(fma.f64 (*.f64 -2 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 1/4) 2)) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
6.1%
(fma.f64 (*.f64 -2 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 3)) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
6.1%
(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))
6.3%
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (pow.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 1/4) 2)))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
6.2%
(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))
4.5%
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2))
6.2%
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 3/2)))) (*.f64 (PI.f64) 1/2))
6.2%
(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))
1.8%
(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)
6.3%
(/.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)))
6.2%
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (+.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
6.3%
(-.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (/.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
7.8%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
5.5%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
6.2%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
6.2%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
6.2%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
3.9%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
7.6%
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2) (*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2))))
6.1%
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2) (*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2))))
6.2%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 1/2 (PI.f64))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 1/2 (PI.f64)))))))
6.1%
(*.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))))))
6.2%
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 1/2 (PI.f64)))))))
6.3%
(neg.f64 (log.f64 (exp.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (PI.f64) 1/2)))))
6.2%
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (pow.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 1/4) 2)))))))
6.2%
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
6.3%
(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
6.3%
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (*.f64 (+.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 (PI.f64) 1/2))) (+.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 (PI.f64) 1/2)))) 1) (+.f64 (+.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 (PI.f64) 1/2))) 1))))
6.2%
(expm1.f64 (log1p.f64 (+.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2) (*.f64 (PI.f64) 1/2))))
Compiler

Compiled 3078 to 2832 computations (8% saved)

localize6.2s (21%)

Local Accuracy

Found 20 expressions with local accuracy:

NewAccuracyProgram
98.5%
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
98.5%
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
97.6%
(pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 3)
6.2%
(fma.f64 (*.f64 -2 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 3)) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
100.0%
(sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))
98.5%
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
98.5%
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
6.2%
(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))
100.0%
(exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
100.0%
(/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
98.5%
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
7.9%
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
100.0%
(/.f64 2 (-.f64 1 x))
98.5%
(/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))
98.5%
(asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
7.9%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
98.4%
(cbrt.f64 (*.f64 (PI.f64) 1/2))
98.4%
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)
6.3%
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2))))
3.2%
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2) (*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2)))
Compiler

Compiled 647 to 558 computations (13.8% saved)

series150.0ms (0.5%)

Counts
17 → 132
Calls

45 calls:

TimeVariablePointExpression
67.0ms
x
@0
(pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 3)
17.0ms
x
@-inf
(pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 3)
16.0ms
x
@inf
(pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 3)
9.0ms
x
@0
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
8.0ms
x
@-inf
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))

rewrite132.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
926×add-sqr-sqrt
906×pow1
900×*-un-lft-identity
858×add-exp-log
856×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054617
11174617
Stop Event
node limit
Counts
17 → 172
Calls
Call 1
Inputs
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2) (*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2))))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)
(cbrt.f64 (*.f64 (PI.f64) 1/2))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
(/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))
(/.f64 2 (-.f64 1 x))
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.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))))
(/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(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))
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 (*.f64 -2 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 3)) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
(pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 3)
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
Outputs
(+.f64 (neg.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 1 (+.f64 (neg.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 (cbrt.f64 (+.f64 (neg.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))))))) (cbrt.f64 (+.f64 (neg.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)))))))) (cbrt.f64 (+.f64 (neg.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 (sqrt.f64 (+.f64 (neg.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))))))) (sqrt.f64 (+.f64 (neg.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))))))))
(pow.f64 (+.f64 (neg.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)))))) 1)
(log.f64 (exp.f64 (+.f64 (neg.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))))))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (neg.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 (neg.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 (neg.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))))))))
(expm1.f64 (log1p.f64 (+.f64 (neg.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))))))))
(exp.f64 (log.f64 (+.f64 (neg.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))))))))
(log1p.f64 (expm1.f64 (+.f64 (neg.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 1/2 (PI.f64)) (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(*.f64 1 (+.f64 (*.f64 1/2 (PI.f64)) (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 1/2 (PI.f64)) (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))) (cbrt.f64 (+.f64 (*.f64 1/2 (PI.f64)) (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))) (cbrt.f64 (+.f64 (*.f64 1/2 (PI.f64)) (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (PI.f64)) (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))) (sqrt.f64 (+.f64 (*.f64 1/2 (PI.f64)) (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))))
(pow.f64 (+.f64 (*.f64 1/2 (PI.f64)) (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) 1)
(log.f64 (exp.f64 (+.f64 (*.f64 1/2 (PI.f64)) (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (*.f64 1/2 (PI.f64)) (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) (+.f64 (*.f64 1/2 (PI.f64)) (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))) (+.f64 (*.f64 1/2 (PI.f64)) (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 1/2 (PI.f64)) (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))))
(exp.f64 (log.f64 (+.f64 (*.f64 1/2 (PI.f64)) (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 1/2 (PI.f64)) (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))))
(*.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (cbrt.f64 (*.f64 1/2 (PI.f64))))
(*.f64 1 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2) (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)) (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))) 2))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)))
(*.f64 1 (cbrt.f64 (*.f64 1/2 (PI.f64))))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))))) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))) (sqrt.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))))
(pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 1)
(pow.f64 (*.f64 1/2 (PI.f64)) 1/3)
(log.f64 (exp.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))))
(+.f64 (*.f64 1/2 (PI.f64)) (neg.f64 (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(*.f64 1 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))) (cbrt.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))))) (cbrt.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))) (sqrt.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))) 3)) (+.f64 (*.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))) (+.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 1/2 (PI.f64)) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))))))
(/.f64 (-.f64 (*.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.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 1/2 (PI.f64)) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))))
(pow.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))) 1)
(log.f64 (exp.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
(exp.f64 (log.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
(-.f64 (*.f64 1/2 (PI.f64)) (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 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 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 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(*.f64 1 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(*.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) (cbrt.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))) (cbrt.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) (sqrt.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)
(cbrt.f64 (*.f64 (*.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))))))))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
(exp.f64 (log.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
(log1p.f64 (expm1.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)) (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 (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 (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))))))
(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 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(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))))))
(*.f64 1 (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
(*.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (/.f64 1 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(*.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))) (cbrt.f64 (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))) (cbrt.f64 (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))))
(*.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))) (sqrt.f64 (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))))
(pow.f64 (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) 1)
(log.f64 (exp.f64 (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))))
(cbrt.f64 (*.f64 (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))) (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))))
(exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))))
(*.f64 1 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (cbrt.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) (cbrt.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(pow.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) 1)
(pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(log.f64 (exp.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))) (*.f64 1/2 (PI.f64)))
(*.f64 1 (fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) (*.f64 1/2 (PI.f64))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) (*.f64 1/2 (PI.f64)))) (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) (*.f64 1/2 (PI.f64))))) (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) (*.f64 1/2 (PI.f64)))))
(*.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) (*.f64 1/2 (PI.f64)))) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) (*.f64 1/2 (PI.f64)))))
(pow.f64 (fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) (*.f64 1/2 (PI.f64))) 1)
(log.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) (*.f64 1/2 (PI.f64)))))
(cbrt.f64 (*.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) (*.f64 1/2 (PI.f64))) (fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) (*.f64 1/2 (PI.f64)))) (fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) (*.f64 1/2 (PI.f64)))))
(expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) (*.f64 1/2 (PI.f64)))))
(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) (*.f64 1/2 (PI.f64)))))
(log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) (*.f64 1/2 (PI.f64)))))
(*.f64 1 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) (sqrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) 1/2)
(pow.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) 1)
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
(cbrt.f64 (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
(+.f64 (*.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(*.f64 1 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))) (cbrt.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64))))) (cbrt.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))) (sqrt.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))))
(pow.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64))) 1)
(log.f64 (exp.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))))
(cbrt.f64 (*.f64 (*.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64))) (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))) (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))))
(exp.f64 (log.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))))
(*.f64 1 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(*.f64 (sqrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) 3/2) (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) 3/2))
(sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(log.f64 (exp.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(cbrt.f64 (*.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)))))))
(expm1.f64 (log1p.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(exp.f64 (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (asin.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 1 (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 (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))))))
(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 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(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))))))

simplify181.0ms (0.6%)

Algorithm
egg-herbie
Rules
1054×unswap-sqr
710×associate-*r*
698×associate-*l*
684×exp-prod
556×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044210354
19008630
237178146
Stop Event
node limit
Counts
304 → 247
Calls
Call 1
Inputs
(+.f64 (*.f64 -2 (*.f64 (pow.f64 1 1/3) (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 -2 (*.f64 (pow.f64 1 1/3) (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 -2 (*.f64 (pow.f64 1 1/3) (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 -2 (*.f64 (pow.f64 1 1/3) (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 -2 (*.f64 (pow.f64 1 1/3) (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 -2 (*.f64 (pow.f64 1 1/3) (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 -2 (*.f64 (pow.f64 1 1/3) (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 -2 (*.f64 (pow.f64 1 1/3) (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 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 -2 (*.f64 (pow.f64 1 1/3) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 -2 (*.f64 (pow.f64 1 1/3) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 -2 (*.f64 (pow.f64 1 1/3) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 -2 (*.f64 (pow.f64 1 1/3) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (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 (*.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)))))))
(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)))))
(/.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))))))
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 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.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))))
(/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (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 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(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 (neg.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))))))
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(log.f64 (exp.f64 (+.f64 (neg.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))))))))
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(pow.f64 (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) 1)
(log.f64 (exp.f64 (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))))
(cbrt.f64 (*.f64 (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))) (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))))
(exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))))
(*.f64 1 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (cbrt.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) (cbrt.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(pow.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) 1)
(pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(log.f64 (exp.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))) (*.f64 1/2 (PI.f64)))
(*.f64 1 (fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) (*.f64 1/2 (PI.f64))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) (*.f64 1/2 (PI.f64)))) (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) (*.f64 1/2 (PI.f64))))) (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) (*.f64 1/2 (PI.f64)))))
(*.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) (*.f64 1/2 (PI.f64)))) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) (*.f64 1/2 (PI.f64)))))
(pow.f64 (fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) (*.f64 1/2 (PI.f64))) 1)
(log.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) (*.f64 1/2 (PI.f64)))))
(cbrt.f64 (*.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) (*.f64 1/2 (PI.f64))) (fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) (*.f64 1/2 (PI.f64)))) (fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) (*.f64 1/2 (PI.f64)))))
(expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) (*.f64 1/2 (PI.f64)))))
(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) (*.f64 1/2 (PI.f64)))))
(log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) (*.f64 1/2 (PI.f64)))))
(*.f64 1 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) (sqrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) 1/2)
(pow.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) 1)
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
(cbrt.f64 (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
(+.f64 (*.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(*.f64 1 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))) (cbrt.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64))))) (cbrt.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))) (sqrt.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))))
(pow.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64))) 1)
(log.f64 (exp.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))))
(cbrt.f64 (*.f64 (*.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64))) (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))) (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))))
(exp.f64 (log.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))))
(*.f64 1 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(*.f64 (sqrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) 3/2) (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) 3/2))
(sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(log.f64 (exp.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(cbrt.f64 (*.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)))))))
(expm1.f64 (log1p.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(exp.f64 (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (asin.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 1 (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 (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))))))
(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 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(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))))))
Outputs
(+.f64 (*.f64 -2 (*.f64 (pow.f64 1 1/3) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(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 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 0)
0
(+.f64 (*.f64 -2 (*.f64 (pow.f64 1 1/3) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(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 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 0)
0
(+.f64 (*.f64 -2 (*.f64 (pow.f64 1 1/3) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(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 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 0)
0
(+.f64 (*.f64 -2 (*.f64 (pow.f64 1 1/3) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(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 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 0)
0
(+.f64 (*.f64 -2 (*.f64 (pow.f64 1 1/3) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(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 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 0)
0
(+.f64 (*.f64 -2 (*.f64 (pow.f64 1 1/3) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(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 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 0)
0
(+.f64 (*.f64 -2 (*.f64 (pow.f64 1 1/3) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(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 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 0)
0
(+.f64 (*.f64 -2 (*.f64 (pow.f64 1 1/3) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(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 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 0)
0
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0
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0
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0
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2
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(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 3))) (+.f64 (*.f64 1/4 (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))) (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))))))
(/.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 -8 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 3))) (fma.f64 1/4 (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (+.f64 (*.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 4) (PI.f64)))))
(/.f64 (-.f64 (*.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.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 1/2 (PI.f64)) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 (PI.f64) (PI.f64))) (*.f64 4 (*.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))) (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))))
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(fma.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 1/2 (PI.f64)))
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(exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(exp.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
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(exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(exp.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
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(exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(exp.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
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(exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(exp.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
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(exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(exp.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(exp.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
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(exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(exp.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
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(pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
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(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))) (sqrt.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(pow.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64))) 1)
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(log.f64 (exp.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(cbrt.f64 (*.f64 (*.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64))) (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))) (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(exp.f64 (log.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(*.f64 1 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
(sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (sqrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) 3/2) (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) 3/2))
(sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(log.f64 (exp.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(expm1.f64 (log1p.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(exp.f64 (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(log1p.f64 (expm1.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 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 -1/2 x)))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 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 -1/2 x))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 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 -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))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 1)
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 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 -1/2 x))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 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 -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 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 -1/2 x))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 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 -1/2 x))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 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 -1/2 x))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))

eval651.0ms (2.2%)

Compiler

Compiled 24034 to 21332 computations (11.2% saved)

prune183.0ms (0.6%)

Pruning

34 alts after pruning (27 fresh and 7 done)

PrunedKeptTotal
New53511546
Fresh41620
Picked235
Done044
Total54134575
Accurracy
9.7%
Counts
575 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.2%
(fma.f64 (*.f64 -2 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 1/4) 2)) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
4.5%
(fma.f64 (*.f64 -2 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 3)) (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2))
6.2%
(fma.f64 (*.f64 -2 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 3)) (sqrt.f64 (asin.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (*.f64 (PI.f64) 1/2))
6.1%
(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))
6.3%
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (pow.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 1/4) 2)))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
6.2%
(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))
4.5%
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2))
6.2%
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 3/2)))) (*.f64 (PI.f64) 1/2))
6.3%
(fma.f64 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
6.2%
(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))
1.8%
(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)
6.2%
(/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 1/2 (PI.f64))))
6.3%
(/.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)))
6.2%
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (+.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
7.8%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
5.5%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
6.2%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
4.2%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
6.2%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
3.9%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
7.6%
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2) (*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2))))
6.0%
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2)))) 0)
6.1%
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2) (*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2))))
6.2%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 1/2 (PI.f64))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 1/2 (PI.f64)))))))
6.3%
(+.f64 (log.f64 (exp.f64 (+.f64 (*.f64 1/2 (PI.f64)) (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2) (*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2))))
6.1%
(*.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))))))
6.2%
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 1/2 (PI.f64)))))))
6.3%
(neg.f64 (log.f64 (exp.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (PI.f64) 1/2)))))
6.2%
(log1p.f64 (expm1.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
6.2%
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
6.3%
(log.f64 (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
6.3%
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (*.f64 (+.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 (PI.f64) 1/2))) (+.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 (PI.f64) 1/2)))) 1) (+.f64 (+.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 (PI.f64) 1/2))) 1))))
6.2%
(expm1.f64 (log1p.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
1.8%
(exp.f64 (log.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
6.2%
(fma.f64 (*.f64 -2 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 1/4) 2)) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
4.5%
(fma.f64 (*.f64 -2 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 3)) (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2))
6.2%
(fma.f64 (*.f64 -2 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 3)) (sqrt.f64 (asin.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (*.f64 (PI.f64) 1/2))
6.1%
(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))
6.3%
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (pow.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 1/4) 2)))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
6.2%
(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))
4.5%
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2))
6.2%
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 3/2)))) (*.f64 (PI.f64) 1/2))
6.3%
(fma.f64 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
6.2%
(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))
1.8%
(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)
6.2%
(/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 1/2 (PI.f64))))
6.3%
(/.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)))
6.2%
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (+.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
7.8%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
5.5%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
6.2%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
4.2%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
6.2%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
3.9%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
7.6%
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2) (*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2))))
6.0%
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2)))) 0)
6.1%
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2) (*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2))))
6.2%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 1/2 (PI.f64))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 1/2 (PI.f64)))))))
6.3%
(+.f64 (log.f64 (exp.f64 (+.f64 (*.f64 1/2 (PI.f64)) (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2) (*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2))))
6.1%
(*.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))))))
6.2%
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 1/2 (PI.f64)))))))
6.3%
(neg.f64 (log.f64 (exp.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (PI.f64) 1/2)))))
6.2%
(log1p.f64 (expm1.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
6.2%
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
6.3%
(log.f64 (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
6.3%
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (*.f64 (+.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 (PI.f64) 1/2))) (+.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 (PI.f64) 1/2)))) 1) (+.f64 (+.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 (PI.f64) 1/2))) 1))))
6.2%
(expm1.f64 (log1p.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
1.8%
(exp.f64 (log.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
Compiler

Compiled 3440 to 3170 computations (7.8% saved)

localize4.3s (14.5%)

Local Accuracy

Found 18 expressions with local accuracy:

NewAccuracyProgram
99.6%
(/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 1/2 (PI.f64))))
98.5%
(/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))
98.5%
(asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
6.3%
(fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2)))
98.5%
(sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
98.5%
(asin.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 3/2)))
98.5%
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
6.2%
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 3/2)))) (*.f64 (PI.f64) 1/2))
100.0%
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
98.5%
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
7.9%
(-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (PI.f64) 1/2))
7.9%
(log.f64 (exp.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (PI.f64) 1/2))))
98.4%
(/.f64 1 (sqrt.f64 2))
98.4%
(asin.f64 (/.f64 1 (sqrt.f64 2)))
100.0%
(fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2))
99.6%
(/.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))))
7.9%
(-.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)))
Compiler

Compiled 495 to 419 computations (15.4% saved)

series12.0ms (0%)

Counts
12 → 112
Calls

30 calls:

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

rewrite93.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1076×pow1
1024×add-exp-log
1022×add-log-exp
1022×log1p-expm1-u
1022×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057576
11252576
Stop Event
node limit
Counts
12 → 136
Calls
Call 1
Inputs
(-.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 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 (PI.f64) 1/2))
(asin.f64 (/.f64 1 (sqrt.f64 2)))
(/.f64 1 (sqrt.f64 2))
(log.f64 (exp.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (PI.f64) 1/2))))
(-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (PI.f64) 1/2))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 3/2)))) (*.f64 (PI.f64) 1/2))
(asin.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 3/2)))
(fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2)))
(/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 1/2 (PI.f64))))
Outputs
(+.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)))))
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(pow.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 (PI.f64) 1/2)) 1)
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(cbrt.f64 (*.f64 (*.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 (PI.f64) 1/2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 (PI.f64) 1/2))) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 (PI.f64) 1/2))))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 (PI.f64) 1/2))))
(exp.f64 (log.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 (PI.f64) 1/2))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 (PI.f64) 1/2))))
(fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (neg.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 1/2)
(pow.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))) 1)
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 x)) (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(+.f64 (*.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2))))) (*.f64 (PI.f64) 1/2))
(*.f64 1 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))) (*.f64 (PI.f64) 1/2)))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))) (*.f64 (PI.f64) 1/2))) (cbrt.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))) (*.f64 (PI.f64) 1/2)))) (cbrt.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))) (*.f64 (PI.f64) 1/2))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))) (*.f64 (PI.f64) 1/2))) (sqrt.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))) (*.f64 (PI.f64) 1/2))))
(pow.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))) (*.f64 (PI.f64) 1/2)) 1)
(log.f64 (exp.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))) (*.f64 (PI.f64) 1/2))))
(cbrt.f64 (*.f64 (*.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))) (*.f64 (PI.f64) 1/2)) (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))) (*.f64 (PI.f64) 1/2))) (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))) (*.f64 (PI.f64) 1/2))))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))) (*.f64 (PI.f64) 1/2))))
(exp.f64 (log.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))) (*.f64 (PI.f64) 1/2))))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))) (*.f64 (PI.f64) 1/2))))
(-.f64 (/.f64 (PI.f64) 2) (acos.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2))))
(*.f64 1 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2))))
(*.f64 (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))) (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))))
(*.f64 (*.f64 (cbrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))) (cbrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2))))) (cbrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))))
(pow.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2))) 1)
(log.f64 (exp.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))))
(cbrt.f64 (*.f64 (*.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2))) (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))) (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))))
(expm1.f64 (log1p.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))))
(exp.f64 (log.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))))
(log1p.f64 (expm1.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))))
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4)) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2)))
(*.f64 1 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2)))) (cbrt.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))))) (cbrt.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2)))))
(*.f64 (sqrt.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2)))) (sqrt.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2)))))
(pow.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) 1)
(log.f64 (exp.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2)))))
(cbrt.f64 (*.f64 (*.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2)))) (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2)))))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2)))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2)))))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2)))))
(*.f64 1 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2))))
(*.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (/.f64 1 (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2)))) (cbrt.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2))))) (cbrt.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2)))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2)))) (sqrt.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2)))))
(pow.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2))) 1)
(log.f64 (exp.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2)))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2))) (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2)))) (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2)))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2)))))
(exp.f64 (log.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2)))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2)))))

simplify133.0ms (0.5%)

Algorithm
egg-herbie
Rules
662×exp-prod
648×associate-*r*
636×associate-*l*
580×unswap-sqr
482×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036712822
182411550
2368411362
Stop Event
node limit
Counts
248 → 195
Calls
Call 1
Inputs
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(/.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))))
(/.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))))
(/.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))))
(/.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))))
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(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)))))
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(+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 (PI.f64) 1/2))
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(*.f64 (*.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 (PI.f64) 1/2))) (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 (PI.f64) 1/2)))) (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 (PI.f64) 1/2))))
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(exp.f64 (log.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 (PI.f64) 1/2))))
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(-.f64 (/.f64 (PI.f64) 2) (acos.f64 (/.f64 1 (sqrt.f64 2))))
(*.f64 1 (asin.f64 (/.f64 1 (sqrt.f64 2))))
(*.f64 (*.f64 (cbrt.f64 (asin.f64 (/.f64 1 (sqrt.f64 2)))) (cbrt.f64 (asin.f64 (/.f64 1 (sqrt.f64 2))))) (cbrt.f64 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 (asin.f64 (/.f64 1 (sqrt.f64 2)))) (sqrt.f64 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
(pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 2))) 1)
(log.f64 (exp.f64 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
(cbrt.f64 (*.f64 (*.f64 (asin.f64 (/.f64 1 (sqrt.f64 2))) (asin.f64 (/.f64 1 (sqrt.f64 2)))) (asin.f64 (/.f64 1 (sqrt.f64 2)))))
(expm1.f64 (log1p.f64 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
(exp.f64 (log.f64 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
(log1p.f64 (expm1.f64 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
(*.f64 1 (/.f64 1 (sqrt.f64 2)))
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(*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 2))) (sqrt.f64 (/.f64 1 (sqrt.f64 2))))
(pow.f64 (sqrt.f64 2) -1)
(pow.f64 (/.f64 1 (sqrt.f64 2)) 1)
(log.f64 (exp.f64 (/.f64 1 (sqrt.f64 2))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (/.f64 1 (sqrt.f64 2))))
(exp.f64 (log.f64 (/.f64 1 (sqrt.f64 2))))
(log1p.f64 (expm1.f64 (/.f64 1 (sqrt.f64 2))))
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(+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 (neg.f64 (PI.f64)) 1/2))
(+.f64 (-.f64 (*.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 (PI.f64) 1/2)))
(-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 (PI.f64) 1/2))
(*.f64 1 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 (PI.f64) 1/2)))
(*.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 (PI.f64) 1/2))) (cbrt.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 (PI.f64) 1/2)))) (cbrt.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 (PI.f64) 1/2))))
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(/.f64 (-.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (+.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 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 (PI.f64) 1/2)))))
(/.f64 (-.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 (PI.f64) 1/2))) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 (PI.f64) 1/2)))
(pow.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 (PI.f64) 1/2)) 1)
(cbrt.f64 (*.f64 (*.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 (PI.f64) 1/2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 (PI.f64) 1/2))) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 (PI.f64) 1/2))))
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(+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (neg.f64 (*.f64 (PI.f64) 1/2)))
(+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 (neg.f64 (PI.f64)) 1/2))
(+.f64 (-.f64 (*.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 (PI.f64) 1/2)))
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(/.f64 (-.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 (PI.f64) 1/2))) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 (PI.f64) 1/2)))
(pow.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 (PI.f64) 1/2)) 1)
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(pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 1/2)
(pow.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))) 1)
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
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(+.f64 (*.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2))))) (*.f64 (PI.f64) 1/2))
(*.f64 1 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))) (*.f64 (PI.f64) 1/2)))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))) (*.f64 (PI.f64) 1/2))) (cbrt.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))) (*.f64 (PI.f64) 1/2)))) (cbrt.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))) (*.f64 (PI.f64) 1/2))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))) (*.f64 (PI.f64) 1/2))) (sqrt.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))) (*.f64 (PI.f64) 1/2))))
(pow.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))) (*.f64 (PI.f64) 1/2)) 1)
(log.f64 (exp.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))) (*.f64 (PI.f64) 1/2))))
(cbrt.f64 (*.f64 (*.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))) (*.f64 (PI.f64) 1/2)) (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))) (*.f64 (PI.f64) 1/2))) (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))) (*.f64 (PI.f64) 1/2))))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))) (*.f64 (PI.f64) 1/2))))
(exp.f64 (log.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))) (*.f64 (PI.f64) 1/2))))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))) (*.f64 (PI.f64) 1/2))))
(-.f64 (/.f64 (PI.f64) 2) (acos.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2))))
(*.f64 1 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2))))
(*.f64 (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))) (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))))
(*.f64 (*.f64 (cbrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))) (cbrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2))))) (cbrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))))
(pow.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2))) 1)
(log.f64 (exp.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))))
(cbrt.f64 (*.f64 (*.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2))) (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))) (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))))
(expm1.f64 (log1p.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))))
(exp.f64 (log.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))))
(log1p.f64 (expm1.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))))
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4)) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2)))
(*.f64 1 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2)))) (cbrt.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))))) (cbrt.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2)))))
(*.f64 (sqrt.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2)))) (sqrt.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2)))))
(pow.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) 1)
(log.f64 (exp.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2)))))
(cbrt.f64 (*.f64 (*.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2)))) (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2)))))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2)))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2)))))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2)))))
(*.f64 1 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2))))
(*.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (/.f64 1 (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2)))) (cbrt.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2))))) (cbrt.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2)))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2)))) (sqrt.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2)))))
(pow.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2))) 1)
(log.f64 (exp.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2)))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2))) (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2)))) (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2)))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2)))))
(exp.f64 (log.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2)))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2)))))
Outputs
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 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)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 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)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 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)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 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)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 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)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 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)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 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)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 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)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 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)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 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)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 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)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 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)))
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(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))
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(fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))
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(fma.f64 (PI.f64) 1/2 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 -2 (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2)))))))
(cbrt.f64 (*.f64 (*.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))) (*.f64 (PI.f64) 1/2)) (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))) (*.f64 (PI.f64) 1/2))) (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))) (*.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 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 3/2)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (PI.f64) 1/2 (*.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2))))))
(fma.f64 (PI.f64) 1/2 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 -2 (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2)))))))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))) (*.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 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 3/2)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (PI.f64) 1/2 (*.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2))))))
(fma.f64 (PI.f64) 1/2 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 -2 (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2)))))))
(exp.f64 (log.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))) (*.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 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 3/2)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (PI.f64) 1/2 (*.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2))))))
(fma.f64 (PI.f64) 1/2 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 -2 (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2)))))))
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(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 3/2)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (PI.f64) 1/2 (*.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2))))))
(fma.f64 (PI.f64) 1/2 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 -2 (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2)))))))
(-.f64 (/.f64 (PI.f64) 2) (acos.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2))))
(-.f64 (/.f64 (PI.f64) 2) (acos.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 3/2))))
(-.f64 (/.f64 (PI.f64) 2) (acos.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2))))
(*.f64 1 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2))))
(asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 3/2)))
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(asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 3/2)))
(asin.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2)))
(*.f64 (*.f64 (cbrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))) (cbrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2))))) (cbrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))))
(asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 3/2)))
(asin.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2)))
(pow.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2))) 1)
(asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 3/2)))
(asin.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2)))
(log.f64 (exp.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))))
(asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 3/2)))
(asin.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2)))
(cbrt.f64 (*.f64 (*.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2))) (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))) (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))))
(asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 3/2)))
(asin.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2)))
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(asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 3/2)))
(asin.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2)))
(exp.f64 (log.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))))
(asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 3/2)))
(asin.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2)))
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(asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 3/2)))
(asin.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2)))
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4)) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2)))
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(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2)))
(*.f64 1 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))))
(fma.f64 (PI.f64) (*.f64 1/4 (PI.f64)) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2)))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2)))) (cbrt.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))))) (cbrt.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2)))))
(fma.f64 (PI.f64) (*.f64 1/4 (PI.f64)) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2)))
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(fma.f64 (PI.f64) (*.f64 1/4 (PI.f64)) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2)))
(pow.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) 1)
(fma.f64 (PI.f64) (*.f64 1/4 (PI.f64)) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2)))
(log.f64 (exp.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2)))))
(fma.f64 (PI.f64) (*.f64 1/4 (PI.f64)) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2)))
(cbrt.f64 (*.f64 (*.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2)))) (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2)))))
(fma.f64 (PI.f64) (*.f64 1/4 (PI.f64)) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2)))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2)))))
(fma.f64 (PI.f64) (*.f64 1/4 (PI.f64)) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2)))
(exp.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2)))))
(fma.f64 (PI.f64) (*.f64 1/4 (PI.f64)) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2)))
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(fma.f64 (PI.f64) (*.f64 1/4 (PI.f64)) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2)))
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(/.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2)))
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(*.f64 (sqrt.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2)))) (sqrt.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2)))))
(/.f64 (fma.f64 (PI.f64) (*.f64 1/4 (PI.f64)) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2)))
(/.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2)))
(pow.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2))) 1)
(/.f64 (fma.f64 (PI.f64) (*.f64 1/4 (PI.f64)) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2)))
(/.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2)))
(log.f64 (exp.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2)))))
(/.f64 (fma.f64 (PI.f64) (*.f64 1/4 (PI.f64)) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2)))
(/.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2)))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2))) (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2)))) (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2)))))
(/.f64 (fma.f64 (PI.f64) (*.f64 1/4 (PI.f64)) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2)))
(/.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2)))))
(/.f64 (fma.f64 (PI.f64) (*.f64 1/4 (PI.f64)) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2)))
(/.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2)))
(exp.f64 (log.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2)))))
(/.f64 (fma.f64 (PI.f64) (*.f64 1/4 (PI.f64)) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2)))
(/.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2)))))
(/.f64 (fma.f64 (PI.f64) (*.f64 1/4 (PI.f64)) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2)))
(/.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2)))

eval233.0ms (0.8%)

Compiler

Compiled 12139 to 10538 computations (13.2% saved)

prune116.0ms (0.4%)

Pruning

38 alts after pruning (28 fresh and 10 done)

PrunedKeptTotal
New3448352
Fresh22022
Picked235
Done077
Total34838386
Accurracy
9.7%
Counts
386 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.2%
(fma.f64 (*.f64 -2 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 1/4) 2)) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
4.5%
(fma.f64 (*.f64 -2 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 3)) (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2))
6.2%
(fma.f64 (*.f64 -2 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 3)) (sqrt.f64 (asin.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (*.f64 (PI.f64) 1/2))
6.1%
(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))
6.3%
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (pow.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 1/4) 2)))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
6.2%
(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))
4.5%
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2))
6.2%
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 3/2)))) (*.f64 (PI.f64) 1/2))
6.3%
(fma.f64 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
6.2%
(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))
1.8%
(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)
5.4%
(/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2))) (*.f64 1/2 (PI.f64))))
6.3%
(/.f64 (/.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)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
6.3%
(/.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 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))
1.9%
(/.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 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
7.8%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
5.5%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
6.2%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
4.2%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
6.2%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
3.9%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
7.6%
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2) (*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2))))
6.0%
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2)))) 0)
6.1%
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2) (*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2))))
6.2%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 1/2 (PI.f64))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 1/2 (PI.f64)))))))
6.3%
(+.f64 (log.f64 (exp.f64 (+.f64 (*.f64 1/2 (PI.f64)) (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2) (*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2))))
6.1%
(*.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))))))
6.2%
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 1/2 (PI.f64)))))))
6.2%
(neg.f64 (/.f64 (-.f64 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 (pow.f64 (PI.f64) 3) 1/8)) (+.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 (PI.f64) 1/2) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))))))
6.3%
(neg.f64 (log.f64 (exp.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (PI.f64) 1/2)))))
3.9%
(neg.f64 (log.f64 (exp.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2)))))
6.2%
(log1p.f64 (expm1.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
6.2%
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
6.3%
(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)))))
6.3%
(log.f64 (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
6.3%
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (*.f64 (+.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 (PI.f64) 1/2))) (+.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 (PI.f64) 1/2)))) 1) (+.f64 (+.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 (PI.f64) 1/2))) 1))))
1.8%
(exp.f64 (log.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))) (*.f64 (PI.f64) 1/2))))
1.8%
(exp.f64 (log.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
Compiler

Compiled 2670 to 2391 computations (10.4% saved)

regimes90.0ms (0.3%)

Counts
57 → 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 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(neg.f64 (log.f64 (exp.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2)))))
(exp.f64 (log.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2) (*.f64 (PI.f64) 1/2))))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
(log.f64 (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
(neg.f64 (log.f64 (exp.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (PI.f64) 1/2)))))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
(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 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 2)
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(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)
(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)))))))))
(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))
(*.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 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 1/2 (PI.f64)))))))
(*.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))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (pow.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 1/4) 2)))))))
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 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))
(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 (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 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 3/2)))) (*.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 (pow.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 1/4) 2)))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 -2 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 1/4) 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 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (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 (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)))
(fma.f64 (*.f64 -2 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 3)) (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 -2 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 3)) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
(/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2))) (*.f64 1/2 (PI.f64))))
(/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 1/2 (PI.f64))))
(exp.f64 (log.f64 (fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2)))) (*.f64 (PI.f64) 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)))))
(/.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 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
(fma.f64 (*.f64 -2 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 3)) (sqrt.f64 (asin.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (*.f64 (PI.f64) 1/2))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2)))) 0)
(-.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (/.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(neg.f64 (/.f64 (-.f64 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 (pow.f64 (PI.f64) 3) 1/8)) (+.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 (PI.f64) 1/2) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (+.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 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)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (*.f64 (+.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 (PI.f64) 1/2))) (+.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 (PI.f64) 1/2)))) 1) (+.f64 (+.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 (PI.f64) 1/2))) 1))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 1/2 (PI.f64))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 1/2 (PI.f64)))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(/.f64 (/.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)))) (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))))))
(+.f64 (log.f64 (exp.f64 (+.f64 (*.f64 1/2 (PI.f64)) (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2) (*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2) (*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2) (*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 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:

22.0ms
x
8.0ms
(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
5.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
5.0ms
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
5.0ms
(/.f64 (-.f64 1 x) 2)
Results
AccuracySegmentsBranch
7.8%1x
7.8%1(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
7.8%1(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
7.8%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
7.8%1(sqrt.f64 (/.f64 (-.f64 1 x) 2))
7.8%1(/.f64 (-.f64 1 x) 2)
7.8%1(-.f64 1 x)
Compiler

Compiled 1613 to 1415 computations (12.3% saved)

regimes36.0ms (0.1%)

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

7 calls:

8.0ms
x
5.0ms
(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
5.0ms
(-.f64 1 x)
5.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
5.0ms
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
Results
AccuracySegmentsBranch
8.0%2x
6.2%1(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
7.9%3(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
7.9%3(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
7.9%3(sqrt.f64 (/.f64 (-.f64 1 x) 2))
7.9%3(/.f64 (-.f64 1 x) 2)
7.9%3(-.f64 1 x)
Compiler

Compiled 113 to 99 computations (12.4% saved)

regimes7.0ms (0%)

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

2 calls:

4.0ms
x
2.0ms
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
Results
AccuracySegmentsBranch
6.2%1(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
6.2%1x
Compiler

Compiled 65 to 58 computations (10.8% 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
3.9%1x
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch63.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
63.0ms
5.097064474987603e-166
1.0134445605577333e-159
Results
61.0ms144×body1024valid
Compiler

Compiled 306 to 286 computations (6.5% saved)

bsearch74.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
73.0ms
-1.5876495095260113e-308
5.724441094678944e-307
Results
72.0ms112×body2048valid
Compiler

Compiled 186 to 184 computations (1.1% saved)

simplify49.0ms (0.2%)

Algorithm
egg-herbie
Rules
722×unsub-neg
378×neg-mul-1
260×distribute-lft-neg-in
200×distribute-neg-out
136×distribute-lft-neg-out
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052297
197297
2165297
3208297
4264297
5309297
6329297
7495297
8945297
91285297
101287297
111320297
121367297
131416297
141468297
151493297
161499297
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)))))))
(if (<=.f64 x 6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(if (<=.f64 x -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (-.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))))
(if (<=.f64 x 6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))))
(if (<=.f64 x 6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (+.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (acos.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(if (<=.f64 x -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (-.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 100 to 91 computations (9% saved)

soundness192.0ms (0.7%)

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)

end80.0ms (0.3%)

Compiler

Compiled 226 to 196 computations (13.3% saved)

Profiling

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