Ian Simplification

Time bar (total: 23.6s)

analyze4.0ms (0%)

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

Compiled 15 to 14 computations (6.7% saved)

sample3.4s (14.5%)

Results
2.1s4083×body1024valid
650.0ms2117×body512valid
375.0ms449×body2048valid
252.0ms1607×body256valid
1.0msbody256invalid
Bogosity

preprocess308.0ms (1.3%)

Algorithm
egg-herbie
Rules
670×fma-def
116×cancel-sign-sub-inv
110×fma-neg
104×sub-neg
98×distribute-lft-neg-in
Problems
256×(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
024188
152180
2103164
3224152
4399144
5619144
6790144
7982144
81103144
91148144
101155144
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (neg.f64 x)) 2)))))
(neg.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (neg.f64 x)) 2))))))
Outputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -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))
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -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))
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (neg.f64 x)) 2)))))
(+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (neg.f64 x)) 2)))))
(+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (+.f64 1 x) 2))) -2))
(fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x 2)))) -2 (/.f64 (PI.f64) 2))
(fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 x)))) -2 (/.f64 (PI.f64) 2))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 1/2 x 1/2))) -2 (/.f64 (PI.f64) 2))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x 1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x 1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))
(neg.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (neg.f64 x)) 2))))))
(neg.f64 (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (neg.f64 x)) 2))))))
(neg.f64 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (+.f64 1 x) 2))) -2)))
(-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x 2))))) (/.f64 (PI.f64) 2))
(fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 x)))) (/.f64 (PI.f64) -2))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 1/2 x 1/2))) (*.f64 -1/2 (PI.f64)))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x 1/2 1/2))) (*.f64 (PI.f64) -1/2))
(fma.f64 (PI.f64) -1/2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x 1/2 1/2)))))
Compiler

Compiled 66 to 56 computations (15.2% saved)

eval2.0ms (0%)

Compiler

Compiled 81 to 68 computations (16% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
6.9%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
6.9%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
Compiler

Compiled 28 to 26 computations (7.1% saved)

localize298.0ms (1.3%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
98.5%
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
8.4%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
Compiler

Compiled 52 to 43 computations (17.3% saved)

series4.0ms (0%)

Counts
3 → 28
Calls

9 calls:

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

rewrite153.0ms (0.6%)

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

Useful iterations: 1 (0.0ms)

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

simplify118.0ms (0.5%)

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

Useful iterations: 2 (0.0ms)

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

eval138.0ms (0.6%)

Compiler

Compiled 6032 to 5235 computations (13.2% saved)

prune110.0ms (0.5%)

Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New20321224
Fresh000
Picked011
Done000
Total20322225
Accuracy
10.3%
Counts
225 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.9%
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) 2) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
6.9%
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3) 8)) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
6.9%
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
6.8%
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
6.9%
(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))
6.8%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
6.9%
(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))
1.6%
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) 3) 1/3)
6.9%
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) 3)
6.9%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
6.9%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
6.9%
(/.f64 1 (/.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4))))
6.9%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 2)))
8.3%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
6.7%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
6.7%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
6.9%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 1/2)))))
6.9%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
4.3%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
6.9%
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
6.9%
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
1.6%
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
6.9%
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) 2) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
6.9%
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3) 8)) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
6.9%
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
6.8%
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
6.9%
(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))
6.8%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
6.9%
(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))
1.6%
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) 3) 1/3)
6.9%
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) 3)
6.9%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
6.9%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
6.9%
(/.f64 1 (/.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4))))
6.9%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 2)))
8.3%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
6.7%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
6.7%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
6.9%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 1/2)))))
6.9%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
4.3%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
6.9%
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
6.9%
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
1.6%
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
Compiler

Compiled 2484 to 2266 computations (8.8% saved)

localize3.6s (15.3%)

Localize:

Found 18 expressions with local error:

NewAccuracyProgram
99.2%
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3)
99.2%
(pow.f64 (PI.f64) 3)
53.2%
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3) 8))
52.7%
(PI.f64)
99.2%
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
99.2%
(sqrt.f64 (*.f64 (PI.f64) 1/2))
53.0%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
52.7%
(PI.f64)
99.2%
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
95.4%
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
53.2%
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
52.7%
(PI.f64)
99.2%
(asin.f64 (sqrt.f64 1/2))
52.7%
(PI.f64)
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)))))
53.2%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
52.7%
(PI.f64)
Compiler

Compiled 409 to 339 computations (17.1% saved)

series12.0ms (0%)

Counts
18 → 120
Calls

30 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3) 8))
2.0ms
x
@0
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3) 8))
1.0ms
x
@0
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -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)))))))
1.0ms
x
@-inf
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3) 8))

rewrite296.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
710×expm1-udef
710×log1p-udef
370×associate-*r*
340×log1p-expm1-u
234×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037388
1587384
26795384
Stop Event
node limit
Counts
18 → 583
Calls
Call 1
Inputs
(PI.f64)
(-.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))))
(PI.f64)
(asin.f64 (sqrt.f64 1/2))
(PI.f64)
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(PI.f64)
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
(sqrt.f64 (*.f64 (PI.f64) 1/2))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(PI.f64)
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3) 8))
(pow.f64 (PI.f64) 3)
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3)
Outputs
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 (PI.f64) 1)
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (PI.f64) 2)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(log1p.f64 (expm1.f64 (PI.f64)))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 (PI.f64) 1/2))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.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))))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(*.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1)
(*.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)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2) (*.f64 (*.f64 (*.f64 (PI.f64) 1/2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(*.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
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(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) 3) (pow.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8) (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)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) 3) (pow.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8) (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))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 6) 64))) (neg.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))))
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(/.f64 (-.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 6) 64)) (*.f64 (fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8)) (fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8)))) (-.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8)) (fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8))))
(pow.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)) 1)
(pow.f64 (cbrt.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))) 3)
(pow.f64 (pow.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)) 3) 1/3)
(pow.f64 (sqrt.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))) 2)
(sqrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 6) 64)))
(log.f64 (exp.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))))
(log.f64 (+.f64 1 (expm1.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)))))
(cbrt.f64 (pow.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)) 3))
(expm1.f64 (log1p.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))))
(exp.f64 (log.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))))
(exp.f64 (*.f64 (log.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))) 1))
(log1p.f64 (expm1.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) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8))
(fma.f64 1 (*.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 1 (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 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8)))
(fma.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 6) 64))) (cbrt.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 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8)))
(fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8))
(fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8))
(fma.f64 (sqrt.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))) (sqrt.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 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1)
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 (PI.f64) 3) 1)
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(*.f64 1 (pow.f64 (PI.f64) 3))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) 3) (PI.f64))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))
(*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1) (PI.f64))
(*.f64 (*.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(sqrt.f64 (pow.f64 (PI.f64) 6))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(exp.f64 (*.f64 3 (log.f64 (PI.f64))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (PI.f64))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) 1)
(*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 1)
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(*.f64 1 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3/2) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) 3) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(*.f64 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3) (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3))
(*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 1) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 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 (pow.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) 3) (pow.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3))
(/.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) 3) (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3))
(/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 6))
(log.f64 (exp.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))
(exp.f64 (*.f64 3 (log.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))

simplify455.0ms (1.9%)

Algorithm
egg-herbie
Rules
1060×associate-*r*
1030×associate-*l*
904×log-prod
876×fma-def
396×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
068536913
1162731766
2781631766
Stop Event
node limit
Counts
703 → 476
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)))))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) 3) (pow.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8) (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))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 6) 64))) (neg.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))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) 3) (pow.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 6) 64) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8))))))
(/.f64 (+.f64 (pow.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)) 3) (pow.f64 (fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8)) 3)) (+.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 6) 64)) (-.f64 (*.f64 (fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8)) (fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8))) (*.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8)) (fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8))))))
(/.f64 (-.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 6) 64)) (*.f64 (fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8)) (fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8)))) (-.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8)) (fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8))))
(pow.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)) 1)
(pow.f64 (cbrt.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))) 3)
(pow.f64 (pow.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)) 3) 1/3)
(pow.f64 (sqrt.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))) 2)
(sqrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 6) 64)))
(log.f64 (exp.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))))
(log.f64 (+.f64 1 (expm1.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)))))
(cbrt.f64 (pow.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)) 3))
(expm1.f64 (log1p.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))))
(exp.f64 (log.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))))
(exp.f64 (*.f64 (log.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))) 1))
(log1p.f64 (expm1.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) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8))
(fma.f64 1 (*.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 1 (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 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8)))
(fma.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 6) 64))) (cbrt.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 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8)))
(fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8))
(fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8))
(fma.f64 (sqrt.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))) (sqrt.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 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1)
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 (PI.f64) 3) 1)
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(*.f64 1 (pow.f64 (PI.f64) 3))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) 3) (PI.f64))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))
(*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1) (PI.f64))
(*.f64 (*.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(sqrt.f64 (pow.f64 (PI.f64) 6))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(exp.f64 (*.f64 3 (log.f64 (PI.f64))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (PI.f64))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) 1)
(*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 1)
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(*.f64 1 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3/2) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) 3) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(*.f64 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3) (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3))
(*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 1) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 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 (pow.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) 3) (pow.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3))
(/.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) 3) (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3))
(/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 6))
(log.f64 (exp.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))
(exp.f64 (*.f64 3 (log.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))
Outputs
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(fma.f64 1/2 (PI.f64) (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(fma.f64 1/2 (PI.f64) (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(fma.f64 1/2 (PI.f64) (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(fma.f64 1/2 (PI.f64) (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2))
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(/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(*.f64 (/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(/.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (/.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(*.f64 (/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(/.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (/.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 6))
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6))
(log.f64 (exp.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))))
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)
(cbrt.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 3))
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)
(exp.f64 (*.f64 3 (log.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1))
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)
(log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)

eval774.0ms (3.3%)

Compiler

Compiled 25453 to 21761 computations (14.5% saved)

prune380.0ms (1.6%)

Pruning

33 alts after pruning (29 fresh and 4 done)

PrunedKeptTotal
New69115706
Fresh21416
Picked235
Done011
Total69533728
Accuracy
10.4%
Counts
728 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.7%
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
6.9%
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3) 8)) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
6.9%
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
6.9%
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
6.9%
(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))
6.8%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (/.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) -2))
6.9%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2))
6.8%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
6.9%
(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))
1.6%
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) 3) 1/3)
6.9%
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) 3)
6.9%
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) 3) (pow.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8))))) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
6.6%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
7.0%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 6)) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
6.9%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
6.9%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
6.8%
(/.f64 (-.f64 (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
6.9%
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 3 (log.f64 (PI.f64)))) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
6.9%
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3/2) (sqrt.f64 8))) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3/2) (sqrt.f64 8)))) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
6.9%
(/.f64 1 (/.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4))))
6.9%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 2)))
8.3%
(-.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)))))
6.7%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
6.7%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
6.9%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 1/2)))))
6.9%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
4.3%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
3.8%
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
6.9%
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
6.9%
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
7.0%
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2))))
1.6%
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
6.7%
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
6.9%
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3) 8)) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
6.9%
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
6.9%
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
6.9%
(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))
6.8%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (/.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) -2))
6.9%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2))
6.8%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
6.9%
(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))
1.6%
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) 3) 1/3)
6.9%
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) 3)
6.9%
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) 3) (pow.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8))))) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
6.6%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
7.0%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 6)) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
6.9%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
6.9%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
6.8%
(/.f64 (-.f64 (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
6.9%
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 3 (log.f64 (PI.f64)))) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
6.9%
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3/2) (sqrt.f64 8))) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3/2) (sqrt.f64 8)))) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
6.9%
(/.f64 1 (/.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4))))
6.9%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 2)))
8.3%
(-.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)))))
6.7%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
6.7%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
6.9%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 1/2)))))
6.9%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
4.3%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
3.8%
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
6.9%
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
6.9%
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
7.0%
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2))))
1.6%
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
Compiler

Compiled 3998 to 3612 computations (9.7% saved)

localize3.8s (15.9%)

Localize:

Found 19 expressions with local error:

NewAccuracyProgram
99.2%
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)
99.2%
(pow.f64 (PI.f64) 3)
53.2%
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))) 8))
52.7%
(PI.f64)
99.2%
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
99.2%
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
52.7%
(PI.f64)
51.6%
(fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
100.0%
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
99.2%
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
53.2%
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
52.7%
(PI.f64)
100.0%
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
99.2%
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
52.7%
(PI.f64)
100.0%
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
95.4%
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2))))
53.2%
(fma.f64 (PI.f64) 1/2 (*.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2))
52.7%
(PI.f64)
Compiler

Compiled 561 to 471 computations (16% saved)

series75.0ms (0.3%)

Counts
10 → 120
Calls

30 calls:

TimeVariablePointExpression
30.0ms
x
@0
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))) 8))
25.0ms
x
@inf
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))) 8))
14.0ms
x
@-inf
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))) 8))
1.0ms
x
@0
(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))
1.0ms
x
@-inf
(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))

rewrite127.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
334×log1p-expm1-u
332×expm1-log1p-u
319×add-cube-cbrt
316×add-exp-log
316×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
049471
1762344
Stop Event
node limit
Counts
10 → 309
Calls
Call 1
Inputs
(fma.f64 (PI.f64) 1/2 (*.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -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))
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))) 8))
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)
Outputs
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 1)
(*.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 2) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (-.f64 (pow.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 3)
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 2)) (cbrt.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (sqrt.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(sqrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 1)
(*.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 2) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (-.f64 (pow.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1)
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(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/512) (*.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 3) 512))) (neg.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) 2) (+.f64 (pow.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8) 2) (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) 2) (pow.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8) 2))) (neg.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8))))
(/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/512) (pow.f64 (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8)) 3)) (+.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) 2) (-.f64 (*.f64 (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8)) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8))) (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8))))))
(/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/512) (pow.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 8) 3)) (+.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) 2) (-.f64 (*.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 8) (*.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 8)) (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 8)))))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8)) 3) (pow.f64 (fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8)) 3)) (+.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8)) 2) (-.f64 (*.f64 (fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8)) (fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8))) (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8)) (fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8))))))
(pow.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8)) 1)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8))) 2)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8)) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8)) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8))))
(exp.f64 (log.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8))) 1))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8))))
(fma.f64 (pow.f64 (PI.f64) 3) 1/8 (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8)))
(fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 8))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 8))
(fma.f64 1 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8)))
(fma.f64 1 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 8))
(fma.f64 1 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8)) (fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8)) 2)) (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8))) (fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8)))
(fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8)))
(fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 8))
(fma.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/8)) (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/8)) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8)))
(fma.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/8)) (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/8)) (*.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 8))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8))) (sqrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8))) (fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8)))
(+.f64 0 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 2))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))) 1)
(-.f64 (log.f64 (+.f64 1 (pow.f64 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 3))) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 2) (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 2))) (log.f64 (-.f64 1 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)))))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(*.f64 1 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3/2) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) 3) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3))
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6))
(log.f64 (exp.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)))
(cbrt.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)))
(exp.f64 (*.f64 3 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)))

simplify316.0ms (1.3%)

Algorithm
egg-herbie
Rules
734×exp-prod
666×cube-prod
644×associate-*r*
632×log-prod
554×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
061323322
1158521704
2539721592
Stop Event
node limit
Counts
429 → 363
Calls
Call 1
Inputs
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(-.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)))))
(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))))
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(log.f64 (exp.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8)) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8))))
(exp.f64 (log.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8))) 1))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8))))
(fma.f64 (pow.f64 (PI.f64) 3) 1/8 (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8)))
(fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 8))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 8))
(fma.f64 1 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8)))
(fma.f64 1 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 8))
(fma.f64 1 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8)) (fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8)) 2)) (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8))) (fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8)))
(fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8)))
(fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 8))
(fma.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/8)) (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/8)) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8)))
(fma.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/8)) (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/8)) (*.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 8))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8))) (sqrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8))) (fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8)))
(+.f64 0 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 2))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))) 1)
(-.f64 (log.f64 (+.f64 1 (pow.f64 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 3))) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 2) (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 2))) (log.f64 (-.f64 1 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)))))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(*.f64 1 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3/2) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) 3) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3))
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6))
(log.f64 (exp.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)))
(cbrt.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)))
(exp.f64 (*.f64 3 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)))
Outputs
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
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(+.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8)) (fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))))
(+.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3) -8 (*.f64 1/8 (pow.f64 (PI.f64) 3))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3) 0))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8)) 2)) (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8))) (fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8)))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8)) 2)) (cbrt.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8))) (fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3) -8 (*.f64 1/8 (pow.f64 (PI.f64) 3))) 2)) (cbrt.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3) -8 (*.f64 1/8 (pow.f64 (PI.f64) 3)))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3) 0))
(fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3) -8 (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 8))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3) -8 (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/8)) (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/8)) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3) -8 (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/8)) (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/8)) (*.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 8))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3) -8 (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8))) (sqrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8))) (fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8)))
(+.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8)) (fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))))
(+.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3) -8 (*.f64 1/8 (pow.f64 (PI.f64) 3))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3) 0))
(+.f64 0 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 2))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)) 2))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)))))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))) 1)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)
(-.f64 (log.f64 (+.f64 1 (pow.f64 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 3))) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 2) (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))))))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 3)) (log1p.f64 (-.f64 (pow.f64 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 2) (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)))))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)) 3)) (log1p.f64 (-.f64 (pow.f64 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)) 2) (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 2))) (log.f64 (-.f64 1 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)) 2))) (log1p.f64 (neg.f64 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)))))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)
(*.f64 1 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3/2) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3/2))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) 3) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)
(*.f64 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)
(log.f64 (exp.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)
(cbrt.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 3))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)
(exp.f64 (*.f64 3 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)
(log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)

eval1.7s (7.1%)

Compiler

Compiled 45985 to 39397 computations (14.3% saved)

prune258.0ms (1.1%)

Pruning

40 alts after pruning (33 fresh and 7 done)

PrunedKeptTotal
New1319121331
Fresh32124
Picked235
Done044
Total1324401364
Accuracy
10.4%
Counts
1364 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.7%
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
6.9%
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3) 8)) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
6.9%
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
6.9%
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
6.9%
(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))
6.9%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2))
6.8%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
6.9%
(fma.f64 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.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))
6.9%
(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 (cbrt.f64 (pow.f64 (PI.f64) 3)) 1/2))
6.9%
(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))
1.6%
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) 3) 1/3)
6.9%
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) 3)
6.9%
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
6.9%
(/.f64 (fma.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/8)) (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/8)) (*.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
6.9%
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) 2) (pow.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8) 2)) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8))) (fma.f64 (*.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)))
6.9%
(/.f64 (/.f64 1 (/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8)) (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) 2) (pow.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8) 2)))) (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)))
6.9%
(/.f64 (-.f64 (pow.f64 (+.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 3) 1) (+.f64 (*.f64 (+.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (+.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))) (+.f64 1 (*.f64 (+.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 1))))
7.0%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 6)) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
6.7%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)))) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
6.9%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))) 8)) (fma.f64 (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.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)))
6.9%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
6.9%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
6.8%
(/.f64 (-.f64 (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
6.9%
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 3 (log.f64 (PI.f64)))) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
6.9%
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3/2) (sqrt.f64 8))) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3/2) (sqrt.f64 8)))) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
6.9%
(/.f64 1 (/.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4))))
6.9%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 2)))
8.3%
(-.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)))))
6.7%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
6.7%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
6.9%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 1/2)))))
6.9%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
4.3%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
3.8%
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
6.9%
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
6.9%
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
1.7%
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 3)))
1.6%
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
7.0%
(exp.f64 (log.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))))
6.7%
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
6.9%
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3) 8)) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
6.9%
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
6.9%
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
6.9%
(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))
6.9%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2))
6.8%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
6.9%
(fma.f64 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.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))
6.9%
(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 (cbrt.f64 (pow.f64 (PI.f64) 3)) 1/2))
6.9%
(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))
1.6%
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) 3) 1/3)
6.9%
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) 3)
6.9%
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
6.9%
(/.f64 (fma.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/8)) (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/8)) (*.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
6.9%
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) 2) (pow.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8) 2)) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8))) (fma.f64 (*.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)))
6.9%
(/.f64 (/.f64 1 (/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8)) (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) 2) (pow.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8) 2)))) (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)))
6.9%
(/.f64 (-.f64 (pow.f64 (+.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 3) 1) (+.f64 (*.f64 (+.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (+.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))) (+.f64 1 (*.f64 (+.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 1))))
7.0%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 6)) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
6.7%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)))) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
6.9%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))) 8)) (fma.f64 (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.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)))
6.9%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
6.9%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
6.8%
(/.f64 (-.f64 (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
6.9%
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 3 (log.f64 (PI.f64)))) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
6.9%
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3/2) (sqrt.f64 8))) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3/2) (sqrt.f64 8)))) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
6.9%
(/.f64 1 (/.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4))))
6.9%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 2)))
8.3%
(-.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)))))
6.7%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
6.7%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
6.9%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 1/2)))))
6.9%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
4.3%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
3.8%
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
6.9%
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
6.9%
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
1.7%
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 3)))
1.6%
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
7.0%
(exp.f64 (log.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))))
Compiler

Compiled 4966 to 4484 computations (9.7% saved)

localize3.5s (14.9%)

Localize:

Found 20 expressions with local error:

NewAccuracyProgram
99.2%
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
53.3%
(-.f64 (pow.f64 (+.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 3) 1)
53.2%
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
52.7%
(PI.f64)
99.8%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
99.2%
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
53.2%
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4))
52.7%
(PI.f64)
99.5%
(cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)))
99.2%
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
53.2%
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
52.7%
(PI.f64)
99.2%
(/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))
99.2%
(asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
53.2%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
52.7%
(PI.f64)
100.0%
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
95.4%
(exp.f64 (log.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))))
53.2%
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
52.7%
(PI.f64)
Compiler

Compiled 638 to 539 computations (15.5% saved)

series18.0ms (0.1%)

Counts
12 → 112
Calls

36 calls:

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

rewrite218.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
347×log1p-expm1-u
347×expm1-log1p-u
337×add-cube-cbrt
335×add-exp-log
335×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054533
11003513
Stop Event
node limit
Counts
12 → 356
Calls
Call 1
Inputs
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(exp.f64 (log.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
(/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))
(cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)))
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(-.f64 (pow.f64 (+.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 3) 1)
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
Outputs
(-.f64 (+.f64 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))) 1)
(*.f64 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))) 2) (cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))))
(*.f64 (sqrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))) (sqrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3) -8) (*.f64 (pow.f64 (PI.f64) 3) 1/8)) (+.f64 (pow.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) 2) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) 2) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (neg.f64 (*.f64 1/2 (PI.f64)))))
(pow.f64 (cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))) 3)
(pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))) 1)
(pow.f64 (pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))) 2))) (cbrt.f64 (log.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))))) (sqrt.f64 (log.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))))))
(sqrt.f64 (pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))) 2))
(log.f64 (exp.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))))))
(cbrt.f64 (pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))))
(exp.f64 (log.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 1 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(fma.f64 1 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) 2) (cbrt.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (cbrt.f64 (*.f64 1/2 (PI.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 -1/2 x)))))) (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 1/2 (PI.f64))) (sqrt.f64 (*.f64 1/2 (PI.f64))) (*.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 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(-.f64 (+.f64 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))) 1)
(*.f64 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))) 2) (cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))))
(*.f64 (sqrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))) (sqrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3) -8) (*.f64 (pow.f64 (PI.f64) 3) 1/8)) (+.f64 (pow.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) 2) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) 2) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (neg.f64 (*.f64 1/2 (PI.f64)))))
(pow.f64 (cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))) 3)
(pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))) 1)
(pow.f64 (pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))) 2))) (cbrt.f64 (log.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))))) (sqrt.f64 (log.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))))))
(sqrt.f64 (pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))) 2))
(log.f64 (exp.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))))))
(cbrt.f64 (pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))))
(log1p.f64 (expm1.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 1 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(fma.f64 1 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) 2) (cbrt.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (cbrt.f64 (*.f64 1/2 (PI.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 -1/2 x)))))) (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 1/2 (PI.f64))) (sqrt.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)) (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (fma.f64 1/2 (PI.f64) (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)))
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(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(-.f64 (+.f64 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))) 1)
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(/.f64 (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3) -8) (*.f64 (pow.f64 (PI.f64) 3) 1/8)) (+.f64 (pow.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) 2) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) 2) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (neg.f64 (*.f64 1/2 (PI.f64)))))
(pow.f64 (cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))) 3)
(pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))) 1)
(pow.f64 (pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))) 2))) (cbrt.f64 (log.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))))) (sqrt.f64 (log.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))))))
(sqrt.f64 (pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))) 2))
(log.f64 (exp.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))))))
(cbrt.f64 (pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))))
(exp.f64 (log.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))))
(+.f64 (pow.f64 (+.f64 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))) 3) -1)
(*.f64 1 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))))) 2)) (cbrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))))))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))))))) (sqrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))) 9) 1) (+.f64 (pow.f64 (+.f64 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))) 6) (+.f64 1 (*.f64 (pow.f64 (+.f64 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))) 3) 1))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))) 6) 1) (+.f64 (pow.f64 (+.f64 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))) 3) 1))
(pow.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))))) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))))))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))))) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))))))) 2)
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))))) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))))))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))))))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))))) 3))
(expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))))))
(exp.f64 (log.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))))))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))))))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))))))))
(fma.f64 1 (pow.f64 (+.f64 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))) 3) -1)
(fma.f64 (+.f64 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))) (pow.f64 (+.f64 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))) 2) -1)
(fma.f64 (pow.f64 (+.f64 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))) 2) (+.f64 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))) -1)
(fma.f64 (pow.f64 (+.f64 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))) 3/2) (pow.f64 (+.f64 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))) 3/2) -1)
(+.f64 (*.f64 1/2 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (fma.f64 1/2 (PI.f64) (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 1/2 (PI.f64) (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 (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 (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 1 (*.f64 1/2 (PI.f64)) (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 1 (*.f64 1/2 (PI.f64)) (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 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (cbrt.f64 (*.f64 1/2 (PI.f64))) (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 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (cbrt.f64 (*.f64 1/2 (PI.f64))) (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 1/2 (PI.f64))) (sqrt.f64 (*.f64 1/2 (PI.f64))) (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 1/2 (PI.f64))) (sqrt.f64 (*.f64 1/2 (PI.f64))) (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 1/2 (PI.f64)) (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 1 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) 2) (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(*.f64 (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 (sqrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) 2)))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2) (*.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2) 1/2)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 1)
(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)))) 3) 1/3)
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) 2)
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2))
(fabs.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(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 1/2 (PI.f64) (neg.f64 (acos.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 (*.f64 1/2 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (cbrt.f64 (*.f64 1/2 (PI.f64))) (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (*.f64 1/2 (PI.f64))) (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))

simplify266.0ms (1.1%)

Algorithm
egg-herbie
Rules
1042×log-prod
980×fma-neg
880×exp-prod
564×cube-prod
550×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064627294
1149123489
2497423361
Stop Event
node limit
Counts
468 → 371
Calls
Call 1
Inputs
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
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(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))))) 3)
(pow.f64 (pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))) 1/6) 2)
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(+.f64 (fma.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 1 (*.f64 1/2 (PI.f64)) (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 1 (*.f64 1/2 (PI.f64)) (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 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (cbrt.f64 (*.f64 1/2 (PI.f64))) (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 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (cbrt.f64 (*.f64 1/2 (PI.f64))) (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 1/2 (PI.f64))) (sqrt.f64 (*.f64 1/2 (PI.f64))) (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 1/2 (PI.f64))) (sqrt.f64 (*.f64 1/2 (PI.f64))) (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 1/2 (PI.f64)) (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 1 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) 2) (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(*.f64 (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 (sqrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) 2)))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2) (*.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2) 1/2)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 1)
(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)))) 3) 1/3)
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) 2)
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2))
(fabs.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(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 1/2 (PI.f64) (neg.f64 (acos.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 (*.f64 1/2 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (cbrt.f64 (*.f64 1/2 (PI.f64))) (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (*.f64 1/2 (PI.f64))) (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
Outputs
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.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))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
(-.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))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
(-.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))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
(-.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))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
(-.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))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
(-.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))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
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(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
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(expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))))))
(expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))))) 3) 1/3)
(expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))))))
(expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))))))) 2)
(expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))))))
(expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))))) 2))
(expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))))))
(expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))))
(log.f64 (exp.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))))))))
(expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))))))
(expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))))))))
(expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))))))
(expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))))) 3))
(expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))))))
(expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))))
(expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))))))
(expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))))
(exp.f64 (log.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))))))))
(expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))))))
(expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))))))) 1))
(expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))))))
(expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))))))))
(expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))))))
(expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))))
(fma.f64 1 (pow.f64 (+.f64 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))) 3) -1)
(+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))) 3))
(+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))) 3))
(fma.f64 (+.f64 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))) (pow.f64 (+.f64 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))) 2) -1)
(+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))) 3))
(+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))) 3))
(fma.f64 (pow.f64 (+.f64 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))) 2) (+.f64 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))) -1)
(+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))) 3))
(+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))) 3))
(fma.f64 (pow.f64 (+.f64 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))) 3/2) (pow.f64 (+.f64 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))) 3/2) -1)
(+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))) 3))
(+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))) 3))
(+.f64 (*.f64 1/2 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(+.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (sqrt.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(+.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 0))
(+.f64 (fma.f64 1/2 (PI.f64) (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 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (+.f64 (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (-.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 0)))
(+.f64 (fma.f64 1/2 (PI.f64) (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 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (+.f64 (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (-.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 0)))
(+.f64 (fma.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 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (+.f64 (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (-.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 0)))
(+.f64 (fma.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 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (+.f64 (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (-.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 0)))
(+.f64 (fma.f64 1 (*.f64 1/2 (PI.f64)) (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 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (+.f64 (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (-.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 0)))
(+.f64 (fma.f64 1 (*.f64 1/2 (PI.f64)) (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 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (+.f64 (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (-.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 0)))
(+.f64 (fma.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (cbrt.f64 (*.f64 1/2 (PI.f64))) (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 (+.f64 (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (cbrt.f64 (*.f64 1/2 (PI.f64))) (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(+.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 0) (fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (cbrt.f64 (*.f64 1/2 (PI.f64))) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(+.f64 (fma.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (cbrt.f64 (*.f64 1/2 (PI.f64))) (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 (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (cbrt.f64 (*.f64 1/2 (PI.f64))) (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(+.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 0) (fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (cbrt.f64 (*.f64 1/2 (PI.f64))) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (*.f64 1/2 (PI.f64))) (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 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (+.f64 (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (-.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 0)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (*.f64 1/2 (PI.f64))) (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 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (+.f64 (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (-.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 0)))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) 1)
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(*.f64 1 (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 (fma.f64 -1/2 x 1/2)))
(*.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))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 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 -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4))) (fabs.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (sqrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2) (*.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (+.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2) (*.f64 1/2 (*.f64 (PI.f64) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)) (fma.f64 1/2 (PI.f64) (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 1/2 (PI.f64) (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 (fma.f64 -1/2 x 1/2))) 2)) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2) 1/2)
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 1)
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) 3)
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3) 1/3)
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) 2)
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(fabs.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 (fma.f64 -1/2 x 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 -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(log.f64 (+.f64 1 (expm1.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 (fma.f64 -1/2 x 1/2)))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 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 -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 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 -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) 1))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 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 -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(fma.f64 1 (*.f64 1/2 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (cbrt.f64 (*.f64 1/2 (PI.f64))) (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (cbrt.f64 (*.f64 1/2 (PI.f64))) (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (cbrt.f64 (*.f64 1/2 (PI.f64))) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (*.f64 1/2 (PI.f64))) (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))

eval1.7s (7.1%)

Compiler

Compiled 59148 to 50975 computations (13.8% saved)

prune264.0ms (1.1%)

Pruning

48 alts after pruning (41 fresh and 7 done)

PrunedKeptTotal
New1433191452
Fresh62228
Picked325
Done257
Total1444481492
Accuracy
10.4%
Counts
1492 → 48
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.7%
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
6.9%
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3) 8)) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
6.9%
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
6.9%
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
6.9%
(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))
6.9%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2))
6.8%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
6.9%
(fma.f64 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.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))
6.9%
(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 (cbrt.f64 (pow.f64 (PI.f64) 3)) 1/2))
6.9%
(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))
1.6%
(pow.f64 (pow.f64 (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))) 1/3) 3)
6.9%
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))))) 3) 3)
6.9%
(pow.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))))) 1) 3)
6.9%
(pow.f64 (log.f64 (exp.f64 (cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))))) 3)
1.6%
(pow.f64 (exp.f64 (*.f64 (log.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))) 1/3)) 3)
8.3%
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2))) 3)
6.9%
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3)
7.0%
(/.f64 (fma.f64 (pow.f64 (+.f64 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))) 3/2) (pow.f64 (+.f64 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))) 3/2) -1) (+.f64 (*.f64 (+.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (+.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))) (+.f64 1 (*.f64 (+.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 1))))
6.9%
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
6.9%
(/.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 2) (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (*.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
6.9%
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) 2) (pow.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8) 2)) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8))) (fma.f64 (*.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)))
6.9%
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) 16)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
6.9%
(/.f64 (/.f64 1 (/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8)) (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) 2) (pow.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8) 2)))) (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)))
6.9%
(/.f64 (-.f64 (pow.f64 (+.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 3) 1) (+.f64 (*.f64 (+.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (+.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))) (+.f64 1 (*.f64 (+.f64 1 (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))) 1))))
8.3%
(/.f64 (-.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
7.0%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 6)) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
6.7%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)))) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
6.9%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (fma.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 (PI.f64) 1/2)))
6.8%
(/.f64 (-.f64 (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
6.9%
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
6.9%
(/.f64 (log.f64 (exp.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2) 4)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
6.9%
(/.f64 (log.f64 (exp.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))))))) (+.f64 (*.f64 (+.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (+.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))) (+.f64 1 (*.f64 (+.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 1))))
6.9%
(/.f64 1 (/.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4))))
6.9%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 2)))
8.3%
(-.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)))))
6.7%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
6.7%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
4.1%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
6.9%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 1/2)))))
6.9%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
4.3%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
6.9%
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
6.9%
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
1.6%
(exp.f64 (log.f64 (pow.f64 (pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))) 3) 1/3)))
1.7%
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))) 3)))
1.6%
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
7.0%
(exp.f64 (log.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))))
Compiler

Compiled 3796 to 3364 computations (11.4% saved)

regimes211.0ms (0.9%)

Counts
68 → 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) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 1/2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 2)))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))) 1/3) 3)
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) 3)
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) 3) 1/3)
(exp.f64 (log.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2))))
(pow.f64 (exp.f64 (*.f64 (log.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))) 1/3)) 3)
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2))) 3)
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))) 3)))
(pow.f64 (log.f64 (exp.f64 (cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))))) 3)
(exp.f64 (log.f64 (pow.f64 (pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))) 3) 1/3)))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))))) 3) 3)
(pow.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))))) 1) 3)
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2))
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 3)))
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
(fma.f64 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.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 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 1 (/.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4))))
(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 (cbrt.f64 (pow.f64 (PI.f64) 3)) 1/2))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (fma.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 (PI.f64) 1/2)))
(/.f64 (log.f64 (exp.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2) 4)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(/.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 2) (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (*.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 6)) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 3 (log.f64 (PI.f64)))) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(/.f64 (-.f64 (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 3) 1) (+.f64 (*.f64 (+.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (+.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))) (+.f64 1 (*.f64 (+.f64 1 (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))) 1))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) 16)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))) 8)) (fma.f64 (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.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 (+.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 3) 1) (+.f64 (*.f64 (+.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (+.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))) (+.f64 1 (*.f64 (+.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 1))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (/.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) -2))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)))) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 4)) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(/.f64 (fma.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/8)) (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/8)) (*.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(/.f64 (log.f64 (exp.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))))))) (+.f64 (*.f64 (+.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (+.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))) (+.f64 1 (*.f64 (+.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 1))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) 2) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3/2) (sqrt.f64 8))) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3/2) (sqrt.f64 8)))) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(/.f64 (fma.f64 (pow.f64 (+.f64 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))) 3/2) (pow.f64 (+.f64 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 1/2 (PI.f64)))) 3/2) -1) (+.f64 (*.f64 (+.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (+.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))) (+.f64 1 (*.f64 (+.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 1))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) 2) (pow.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8) 2)) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8))) (fma.f64 (*.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 1 (/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8)) (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) 2) (pow.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8) 2)))) (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 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3) 8)) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) 3) (pow.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8))))) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
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:

66.0ms
(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
31.0ms
x
8.0ms
(/.f64 (-.f64 1 x) 2)
7.0ms
(-.f64 1 x)
6.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
Results
AccuracySegmentsBranch
8.3%1x
8.3%1(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
8.3%1(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
8.3%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
8.3%1(sqrt.f64 (/.f64 (-.f64 1 x) 2))
8.3%1(/.f64 (-.f64 1 x) 2)
8.3%1(-.f64 1 x)
Compiler

Compiled 2342 to 2042 computations (12.8% saved)

regimes36.0ms (0.2%)

Counts
8 → 3
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) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 1/2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
Outputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.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:

17.0ms
x
4.0ms
(/.f64 (-.f64 1 x) 2)
3.0ms
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
2.0ms
(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
2.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
Results
AccuracySegmentsBranch
6.9%1(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
6.9%1(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
6.9%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
6.9%1(sqrt.f64 (/.f64 (-.f64 1 x) 2))
6.9%1(/.f64 (-.f64 1 x) 2)
6.9%1(-.f64 1 x)
10.1%3x
Compiler

Compiled 154 to 134 computations (13% saved)

regimes11.0ms (0%)

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

2 calls:

4.0ms
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
4.0ms
x
Results
AccuracySegmentsBranch
6.9%1(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
6.9%1x
Compiler

Compiled 78 to 69 computations (11.5% saved)

regimes8.0ms (0%)

Counts
3 → 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) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
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:

6.0ms
x
Results
AccuracySegmentsBranch
6.1%2x
Compiler

Compiled 36 to 32 computations (11.1% 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:

3.0ms
x
Results
AccuracySegmentsBranch
4.3%1x
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch155.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
71.0ms
6.68061818101473e-168
7.908932421227264e-162
84.0ms
-5.956724591024552e-159
-3.062911029379312e-176
Results
149.0ms304×body1024valid
Compiler

Compiled 606 to 566 computations (6.6% saved)

bsearch139.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
138.0ms
-2.009244925073673e-309
3.91923671238372e-305
Results
136.0ms128×body2048valid
Compiler

Compiled 210 to 208 computations (1% saved)

simplify100.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
056368
1101368
2169368
3212368
4268368
5313368
6332368
7498368
8938368
91280368
101282368
111315368
121362368
131411368
141463368
151488368
161494368
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 -3444422103075043/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (if (<=.f64 x 3444422103075043/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (-.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 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
Outputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(+.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2))))
(if (<=.f64 x -3444422103075043/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (if (<=.f64 x 3444422103075043/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (-.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 -3444422103075043/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (if (<=.f64 x 3444422103075043/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (+.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 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
Compiler

Compiled 117 to 105 computations (10.3% saved)

soundness546.0ms (2.3%)

Rules
1153×log1p-expm1-u
1153×expm1-log1p-u
1153×log1p-expm1-u
1153×expm1-log1p-u
744×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037388
1587384
26795384
01688
122984
2312584
01688
122984
2312584
Stop Event
node limit
node limit
node limit
Compiler

Compiled 250 to 215 computations (14% saved)

end0.0ms (0%)

preprocess136.0ms (0.6%)

Compiler

Compiled 260 to 224 computations (13.8% saved)

Profiling

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