Details

Time bar (total: 22.1s)

analyze5.0ms (0%)

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

Compiled 15 to 14 computations (6.7% saved)

sample3.5s (16%)

Results
2.2s4156×body1024valid
681.0ms2130×body512valid
364.0ms415×body2048valid
309.0ms1555×body256valid
1.0ms7×body256invalid
Bogosity

preprocess30.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01541
13041
24437
36937
410437
515033
622733
730533
837533
946833
1054133
1155133
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
Outputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))
(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (/.f64 (PI.f64) 2))
(fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2)))) -2 (/.f64 (PI.f64) 2))
(fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) -2 (/.f64 (PI.f64) 2))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (/.f64 (PI.f64) 2))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (/.f64 (PI.f64) 2))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))
Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify27.0ms (0.1%)

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

Useful iterations: 5 (0.0ms)

IterNodesCost
01541
13041
24437
36937
410437
515033
622733
730533
837533
946833
1054133
1155133
Stop Event
1×saturated
Counts
1 → 10
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
Outputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))
(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (/.f64 (PI.f64) 2))
(fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2)))) -2 (/.f64 (PI.f64) 2))
(fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) -2 (/.f64 (PI.f64) 2))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (/.f64 (PI.f64) 2))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (/.f64 (PI.f64) 2))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))

eval3.0ms (0%)

Compiler

Compiled 120 to 101 computations (15.8% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New9110
Fresh011
Picked000
Done000
Total9211
Accurracy
6.8%
Counts
11 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶6.8%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
Compiler

Compiled 14 to 13 computations (7.1% saved)

localize44.0ms (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
✓98.5%
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
✓90.5%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
Compiler

Compiled 51 to 42 computations (17.6% saved)

series4.0ms (0%)

Counts
3 → 28
Calls

9 calls:

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

rewrite106.0ms (0.5%)

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

Useful iterations: 1 (0.0ms)

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

simplify168.0ms (0.8%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
043010465
19419789
226379339
Stop Event
1×node limit
Counts
221 → 265
Calls
Call 1
Inputs
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) x)))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) x)) (*.f64 -1/8 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2)))))
(+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) x)) (*.f64 -1/8 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2))))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) 1))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 2) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(+.f64 0 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) (*.f64 (PI.f64) 1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))))
(*.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))
(*.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 1)
(*.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(*.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3)))))
(/.f64 1 (/.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
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(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (fma.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 2) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2))) (fma.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 2) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) (*.f64 (PI.f64) 1/2))
(fma.f64 (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) (*.f64 (PI.f64) 1/2))
(fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 2 (*.f64 (PI.f64) 1/2))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (*.f64 (PI.f64) 1/2))
(fma.f64 -1 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (fma.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 2) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 2)) (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(+.f64 0 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (cbrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))) (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 1)
(*.f64 1 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 1)
(*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 2) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (fma.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 1)
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 3)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 2)
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 2))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 (neg.f64 (PI.f64)) -1/2 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(+.f64 0 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 1)
(*.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(*.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (cbrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(*.f64 (cbrt.f64 (-.f64 1/2 (*.f64 x 1/2))) (cbrt.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 1/4) (pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 1/4))
(*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 1/2 1/2))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (sqrt.f64 2)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 x 1/2))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 x 1/2))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 x 1/2))) 1/2))
(/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))
(/.f64 1 (/.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 1 x))) (sqrt.f64 -2))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 2)))
(pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 1/2)
(pow.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 3/2) 1/3)
(pow.f64 (pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 1/4) 2)
(pow.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) -1)
(pow.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 x))) -1)
(fabs.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (-.f64 1/2 (*.f64 x 1/2))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 1/2 (*.f64 x 1/2))) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 1/2 (*.f64 x 1/2))) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (-.f64 1/2 (*.f64 x 1/2)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
Outputs
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) -2))
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(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))
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(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))
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(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))
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(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))
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(/.f64 (sqrt.f64 (+.f64 -1 x)) (sqrt.f64 -2))
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(pow.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))) 1)
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(exp.f64 (*.f64 (log.f64 (-.f64 1/2 (*.f64 x 1/2))) 1/2))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
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(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
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(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 1/2 (*.f64 x 1/2))) 1) 1/2))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 1/2 (*.f64 x 1/2))) 1/2) 1))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 1) 1))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 3))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (-.f64 1/2 (*.f64 x 1/2)))) 1/3))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))

eval197.0ms (0.9%)

Compiler

Compiled 6486 to 5613 computations (13.5% saved)

prune89.0ms (0.4%)

Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New24718265
Fresh000
Picked011
Done000
Total24719266
Accurracy
10.0%
Counts
266 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.5%
(fma.f64 (*.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
6.8%
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
▶6.8%
(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))
1.4%
(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 3) 1/3)
6.8%
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 3)
6.8%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
▶8.2%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
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)))))))
✓6.8%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
▶4.2%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
6.5%
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))))
6.8%
(*.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 2)))
6.5%
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))
6.8%
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
▶6.8%
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
6.7%
(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
▶6.8%
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
1.4%
(exp.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
Compiler

Compiled 768 to 709 computations (7.7% saved)

localize38.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓100.0%
(sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))
✓99.9%
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
✓90.5%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
Compiler

Compiled 73 to 59 computations (19.2% saved)

series175.0ms (0.8%)

Counts
4 → 40
Calls

12 calls:

TimeVariablePointExpression
171.0ms
x
@inf
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
1.0ms
x
@-inf
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
1.0ms
x
@0
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
0.0ms
x
@inf
(sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))
0.0ms
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)))))))

rewrite246.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
1742×log-prod
1418×fma-def
658×expm1-udef
656×log1p-udef
484×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017128
139096
2501680
Stop Event
1×node limit
Counts
4 → 282
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
Outputs
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (PI.f64) 1/2))
(+.f64 0 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2)))) (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))))))
(*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2)) 1)
(*.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2)))
(*.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))) (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))))
(*.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))))
(*.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8)) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(*.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8))))
(/.f64 1 (/.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))))
(/.f64 (-.f64 (*.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 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))
(/.f64 (neg.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8))) (neg.f64 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))) (neg.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))))
(/.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))) 3)
(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2)) 2))
(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2)))))
(log.f64 (*.f64 (sqrt.f64 (exp.f64 (PI.f64))) (/.f64 1 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (/.f64 1 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(log.f64 (*.f64 (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (sqrt.f64 (exp.f64 (PI.f64)))))
(log.f64 (*.f64 (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (exp.f64 (PI.f64)))))
(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(log.f64 (/.f64 (sqrt.f64 (exp.f64 (PI.f64))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))))
(exp.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))) 1))
(log1p.f64 (expm1.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))
(fma.f64 (PI.f64) 1/2 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1))
(fma.f64 2 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))
(fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2)) 1 (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2)) 1 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2)) 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
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(fma.f64 (sqrt.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (PI.f64) 1/2))
(fma.f64 -1 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (+.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)) (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(+.f64 0 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1)
(*.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (cbrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) (pow.f64 (fma.f64 x -1/2 1/2) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 1/2))
(/.f64 (sqrt.f64 (-.f64 1/8 (*.f64 (pow.f64 x 3) 1/8))) (sqrt.f64 (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x 1/2) 1/4)))
(/.f64 (sqrt.f64 (-.f64 1/4 (*.f64 x (*.f64 1/4 x)))) (sqrt.f64 (fma.f64 1/2 x 1/2)))
(pow.f64 (fma.f64 x -1/2 1/2) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)
(pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2) 1/3)
(pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2)
(fabs.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x -1/2 1/2)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 0 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (cbrt.f64 (exp.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1)
(*.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1)
(*.f64 1 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (+.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1)
(pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
(pow.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)
(sqrt.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(log.f64 (exp.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log.f64 (/.f64 (sqrt.f64 (exp.f64 (PI.f64))) (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(cbrt.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(expm1.f64 (log1p.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (log.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1))
(log1p.f64 (expm1.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (neg.f64 (PI.f64)) -1/2 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))

simplify384.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
1102×unswap-sqr
860×times-frac
706×distribute-lft-neg-in
650×fma-neg
462×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
056214446
1124013114
2368611566
Stop Event
1×node limit
Counts
322 → 352
Calls
Call 1
Inputs
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))
(+.f64 (*.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2)))))
(+.f64 (*.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5))) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
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(*.f64 1 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (+.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1)
(pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
(pow.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)
(sqrt.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(log.f64 (exp.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log.f64 (/.f64 (sqrt.f64 (exp.f64 (PI.f64))) (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(cbrt.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(expm1.f64 (log1p.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (log.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1))
(log1p.f64 (expm1.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (neg.f64 (PI.f64)) -1/2 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
Outputs
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 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))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 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))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 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))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 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))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 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))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 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))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 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))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 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))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 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))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 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))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 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))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 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))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))
(fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))
(+.f64 (*.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2)))))
(fma.f64 -1/32 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 3)) (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2)))))
(+.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)) (*.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 1/2))))
(+.f64 (*.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5))) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))
(fma.f64 -1/32 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 3)) (+.f64 (sqrt.f64 1/2) (fma.f64 -1/128 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5)) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))
(+.f64 (sqrt.f64 1/2) (+.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (*.f64 -1/128 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5)))) (*.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 1/2)))))
(+.f64 (sqrt.f64 1/2) (+.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (/.f64 -1/128 (/.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (*.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 1/2)))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
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(acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(fma.f64 (neg.f64 (PI.f64)) -1/2 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))

localize19.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓98.4%
(asin.f64 (sqrt.f64 1/2))
Compiler

Compiled 26 to 24 computations (7.7% saved)

series0.0ms (0%)

Counts
1 → 0

rewrite87.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
924×pow1
904×add-sqr-sqrt
884×*-un-lft-identity
856×add-exp-log
856×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059
11059
211519
Stop Event
1×node limit
Counts
1 → 32
Calls
Call 1
Inputs
(asin.f64 (sqrt.f64 1/2))
Outputs
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 1/2))))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 1/2)) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 1/2))) 1 (*.f64 (acos.f64 (sqrt.f64 1/2)) 1)))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))))))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 1/2)))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 1/2)))) (sqrt.f64 (acos.f64 (sqrt.f64 1/2))) (acos.f64 (sqrt.f64 1/2))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (acos.f64 (sqrt.f64 1/2)) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 1/2))) 1 (*.f64 (acos.f64 (sqrt.f64 1/2)) 1)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 1/2)))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 1/2)))) (sqrt.f64 (acos.f64 (sqrt.f64 1/2))) (acos.f64 (sqrt.f64 1/2))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 1/2)) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 1/2))) 1 (*.f64 (acos.f64 (sqrt.f64 1/2)) 1)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 1/2)))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 1/2)))) (sqrt.f64 (acos.f64 (sqrt.f64 1/2))) (acos.f64 (sqrt.f64 1/2))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 1/2)) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 1/2))) 1 (*.f64 (acos.f64 (sqrt.f64 1/2)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 1/2)))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 1/2)))) (sqrt.f64 (acos.f64 (sqrt.f64 1/2))) (acos.f64 (sqrt.f64 1/2))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))
(-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1)
(*.f64 (asin.f64 (sqrt.f64 1/2)) 1)
(*.f64 1 (asin.f64 (sqrt.f64 1/2)))
(*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) 2) (cbrt.f64 (asin.f64 (sqrt.f64 1/2))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) (sqrt.f64 (asin.f64 (sqrt.f64 1/2))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 1/2)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (acos.f64 (sqrt.f64 1/2)) (acos.f64 (sqrt.f64 1/2))) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (acos.f64 (sqrt.f64 1/2)) (acos.f64 (sqrt.f64 1/2)))) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2))))
(pow.f64 (asin.f64 (sqrt.f64 1/2)) 1)
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) 3)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) 2)
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 1/2))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 1/2))))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 1/2))))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 1/2))))

simplify79.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
896×distribute-lft-in
826×associate-*r*
778×fma-def
764×distribute-rgt-in
718×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
095776
1242676
2758580
33655580
Stop Event
1×node limit
Counts
32 → 38
Calls
Call 1
Inputs
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 1/2))))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 1/2)) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 1/2))) 1 (*.f64 (acos.f64 (sqrt.f64 1/2)) 1)))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))))))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 1/2)))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 1/2)))) (sqrt.f64 (acos.f64 (sqrt.f64 1/2))) (acos.f64 (sqrt.f64 1/2))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (acos.f64 (sqrt.f64 1/2)) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 1/2))) 1 (*.f64 (acos.f64 (sqrt.f64 1/2)) 1)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 1/2)))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 1/2)))) (sqrt.f64 (acos.f64 (sqrt.f64 1/2))) (acos.f64 (sqrt.f64 1/2))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 1/2)) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 1/2))) 1 (*.f64 (acos.f64 (sqrt.f64 1/2)) 1)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 1/2)))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 1/2)))) (sqrt.f64 (acos.f64 (sqrt.f64 1/2))) (acos.f64 (sqrt.f64 1/2))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 1/2)) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 1/2))) 1 (*.f64 (acos.f64 (sqrt.f64 1/2)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 1/2)))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 1/2)))) (sqrt.f64 (acos.f64 (sqrt.f64 1/2))) (acos.f64 (sqrt.f64 1/2))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))
(-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1)
(*.f64 (asin.f64 (sqrt.f64 1/2)) 1)
(*.f64 1 (asin.f64 (sqrt.f64 1/2)))
(*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) 2) (cbrt.f64 (asin.f64 (sqrt.f64 1/2))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) (sqrt.f64 (asin.f64 (sqrt.f64 1/2))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 1/2)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (acos.f64 (sqrt.f64 1/2)) (acos.f64 (sqrt.f64 1/2))) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (acos.f64 (sqrt.f64 1/2)) (acos.f64 (sqrt.f64 1/2)))) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2))))
(pow.f64 (asin.f64 (sqrt.f64 1/2)) 1)
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) 3)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) 2)
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 1/2))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 1/2))))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 1/2))))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 1/2))))
Outputs
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 1/2))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 1/2)) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 1/2))) 1 (*.f64 (acos.f64 (sqrt.f64 1/2)) 1)))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 1/2)))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 1/2)))) (sqrt.f64 (acos.f64 (sqrt.f64 1/2))) (acos.f64 (sqrt.f64 1/2))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (acos.f64 (sqrt.f64 1/2)) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 1/2))) 1 (*.f64 (acos.f64 (sqrt.f64 1/2)) 1)))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 1/2)))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 1/2)))) (sqrt.f64 (acos.f64 (sqrt.f64 1/2))) (acos.f64 (sqrt.f64 1/2))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 1/2)) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 1/2))) 1 (*.f64 (acos.f64 (sqrt.f64 1/2)) 1)))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 1/2)))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 1/2)))) (sqrt.f64 (acos.f64 (sqrt.f64 1/2))) (acos.f64 (sqrt.f64 1/2))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 1/2)) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 1/2))) 1 (*.f64 (acos.f64 (sqrt.f64 1/2)) 1)))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 1/2)))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 1/2)))) (sqrt.f64 (acos.f64 (sqrt.f64 1/2))) (acos.f64 (sqrt.f64 1/2))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))
(-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1)
(+.f64 1 (-.f64 (asin.f64 (sqrt.f64 1/2)) 1))
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(*.f64 (asin.f64 (sqrt.f64 1/2)) 1)
(+.f64 1 (-.f64 (asin.f64 (sqrt.f64 1/2)) 1))
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(*.f64 1 (asin.f64 (sqrt.f64 1/2)))
(+.f64 1 (-.f64 (asin.f64 (sqrt.f64 1/2)) 1))
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) 2))
(+.f64 1 (-.f64 (asin.f64 (sqrt.f64 1/2)) 1))
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) 2) (cbrt.f64 (asin.f64 (sqrt.f64 1/2))))
(+.f64 1 (-.f64 (asin.f64 (sqrt.f64 1/2)) 1))
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) (sqrt.f64 (asin.f64 (sqrt.f64 1/2))))
(+.f64 1 (-.f64 (asin.f64 (sqrt.f64 1/2)) 1))
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 1/2)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (acos.f64 (sqrt.f64 1/2)) (acos.f64 (sqrt.f64 1/2))) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 1/2)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (acos.f64 (sqrt.f64 1/2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 1/2))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 1/2)) 3)) (fma.f64 (acos.f64 (sqrt.f64 1/2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 1/2)) 3)) (fma.f64 (acos.f64 (sqrt.f64 1/2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 1/2))) (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4)))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (acos.f64 (sqrt.f64 1/2)) (acos.f64 (sqrt.f64 1/2)))) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))
(pow.f64 (asin.f64 (sqrt.f64 1/2)) 1)
(+.f64 1 (-.f64 (asin.f64 (sqrt.f64 1/2)) 1))
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) 3)
(+.f64 1 (-.f64 (asin.f64 (sqrt.f64 1/2)) 1))
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3) 1/3)
(+.f64 1 (-.f64 (asin.f64 (sqrt.f64 1/2)) 1))
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) 2)
(+.f64 1 (-.f64 (asin.f64 (sqrt.f64 1/2)) 1))
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2))
(+.f64 1 (-.f64 (asin.f64 (sqrt.f64 1/2)) 1))
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 1/2))))
(+.f64 1 (-.f64 (asin.f64 (sqrt.f64 1/2)) 1))
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3))
(+.f64 1 (-.f64 (asin.f64 (sqrt.f64 1/2)) 1))
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 1/2))))
(+.f64 1 (-.f64 (asin.f64 (sqrt.f64 1/2)) 1))
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 1/2))))
(+.f64 1 (-.f64 (asin.f64 (sqrt.f64 1/2)) 1))
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 1/2))))
(+.f64 1 (-.f64 (asin.f64 (sqrt.f64 1/2)) 1))
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))

localize110.0ms (0.5%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
100.0%
(sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))
✓98.5%
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓90.5%
(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))
Compiler

Compiled 68 to 56 computations (17.6% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@0
(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))
0.0ms
x
@-inf
(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))
0.0ms
x
@inf
(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))
0.0ms
x
@inf
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
0.0ms
x
@0
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))

rewrite113.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1480×log-prod
706×pow-exp
694×prod-diff
592×expm1-udef
590×log1p-udef
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01795
133695
2398083
Stop Event
1×node limit
Counts
3 → 157
Calls
Call 1
Inputs
(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
Outputs
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) -1)
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64)))
(+.f64 0 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))
(+.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1) (*.f64 1/2 (PI.f64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))))
(-.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) 1)
(*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)
(*.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))
(*.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 2) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(*.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 3) (pow.f64 (*.f64 1/2 (PI.f64)) 3)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) 3) 1) (fma.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) (+.f64 1 (*.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) 1))))
(/.f64 (fma.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) -1) (+.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) 1))
(/.f64 (-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64))))
(pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 3)
(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 2))
(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))
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(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64)))) (exp.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 1/2 (PI.f64)) 1 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1 (*.f64 1/2 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(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 x -1/2 1/2)))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (*.f64 1/2 (PI.f64))) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) -1)
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64)))
(+.f64 0 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))
(+.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1) (*.f64 1/2 (PI.f64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))))
(-.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) 1)
(*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)
(*.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))
(*.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 2) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(*.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 3) (pow.f64 (*.f64 1/2 (PI.f64)) 3)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) 3) 1) (fma.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) (+.f64 1 (*.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) 1))))
(/.f64 (fma.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) -1) (+.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) 1))
(/.f64 (-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64))))
(pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 3)
(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 2))
(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64)))) (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(log.f64 (*.f64 (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64))))))
(cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 3))
(exp.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 2))
(log1p.f64 (expm1.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (*.f64 1/2 (PI.f64)) 1 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1 (*.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) -1)
(fma.f64 1 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64)))
(fma.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (cbrt.f64 (*.f64 1/2 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (*.f64 1/2 (PI.f64)))
(fma.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (*.f64 1/2 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (*.f64 1/2 (PI.f64)))
(fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1 (*.f64 1/2 (PI.f64)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)) (cbrt.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1))) (cbrt.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)) -1)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (*.f64 1/2 (PI.f64)))
(fma.f64 (sqrt.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)) (sqrt.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)) -1)
(fma.f64 (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (*.f64 1/2 (PI.f64)))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))

simplify151.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1402×fma-neg
986×distribute-lft-in
896×distribute-rgt-in
742×unswap-sqr
526×associate-+r+
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02977531
16687213
219056819
376746803
Stop Event
1×node limit
Counts
193 → 156
Calls
Call 1
Inputs
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
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(fma.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (*.f64 1/2 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (*.f64 1/2 (PI.f64)))
(fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1 (*.f64 1/2 (PI.f64)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)) (cbrt.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1))) (cbrt.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)) -1)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (*.f64 1/2 (PI.f64)))
(fma.f64 (sqrt.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)) (sqrt.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)) -1)
(fma.f64 (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (*.f64 1/2 (PI.f64)))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
Outputs
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) -1)
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 0 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) 2)
(-.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) 1)
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 2) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 3) (pow.f64 (*.f64 1/2 (PI.f64)) 3)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8 (*.f64 1/8 (pow.f64 (PI.f64) 3))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 -1 (PI.f64))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8 (*.f64 1/8 (pow.f64 (PI.f64) 3))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 (PI.f64) (+.f64 (*.f64 (PI.f64) 1/4) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8 (*.f64 1/8 (pow.f64 (PI.f64) 3))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 (PI.f64) (fma.f64 (PI.f64) 1/4 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) 3) 1) (fma.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) (+.f64 1 (*.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) 1))))
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(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 1))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 1) 1))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 3))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 1/3))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log1p.f64 (expm1.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 1/2 (PI.f64)) 1 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1 (*.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) -1)
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (cbrt.f64 (*.f64 1/2 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (*.f64 1/2 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)) (cbrt.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1))) (cbrt.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)) -1)
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (sqrt.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)) (sqrt.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)) -1)
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))

localize65.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓98.5%
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
✓98.4%
(expm1.f64 (*.f64 (PI.f64) 1/2))
✓98.4%
(+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))
✓90.6%
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
Compiler

Compiled 110 to 95 computations (13.6% saved)

series189.0ms (0.9%)

Counts
4 → 24
Calls

6 calls:

TimeVariablePointExpression
89.0ms
x
@inf
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
83.0ms
x
@0
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
16.0ms
x
@-inf
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
0.0ms
x
@0
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
0.0ms
x
@-inf
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))

rewrite178.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1962×prod-diff
762×expm1-udef
446×add-sqr-sqrt
434×pow1
434×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021128
144098
2566098
Stop Event
1×node limit
Counts
4 → 226
Calls
Call 1
Inputs
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
(+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))
(expm1.f64 (*.f64 (PI.f64) 1/2))
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
Outputs
(+.f64 (*.f64 (PI.f64) 1/2) (log.f64 (exp.f64 (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 0 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 2))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (fma.f64 (neg.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 1 (*.f64 (PI.f64) 1/2) (neg.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)))))))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.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)))))))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (fma.f64 -1 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 4 (pow.f64 (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 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.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))))))) (cbrt.f64 (*.f64 4 (pow.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 1 (*.f64 (PI.f64) 1/2) (neg.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 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (*.f64 (cbrt.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)))) (fma.f64 (neg.f64 (*.f64 (cbrt.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) (*.f64 (*.f64 (cbrt.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))))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (*.f64 (sqrt.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)))))))) (fma.f64 (neg.f64 (*.f64 (sqrt.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))))) (*.f64 (*.f64 (sqrt.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))))))))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 2 (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))))) (*.f64 2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2)))))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 2 (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))))) (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (fma.f64 (neg.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 (neg.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)))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.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)))))))
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(+.f64 (fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.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 (fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (*.f64 (*.f64 (cbrt.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)))) (fma.f64 (neg.f64 (*.f64 (cbrt.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) (*.f64 (*.f64 (cbrt.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))))
(+.f64 (fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (*.f64 (*.f64 (sqrt.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)))))))) (fma.f64 (neg.f64 (*.f64 (sqrt.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))))) (*.f64 (*.f64 (sqrt.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))))))))
(+.f64 (fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 2 (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))))) (*.f64 2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2)))))
(+.f64 (fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 2 (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))))) (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 0 (log.f64 (exp.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 (PI.f64) 1/2)))))
(-.f64 (log.f64 (neg.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2))) (log.f64 (neg.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) 1)
(*.f64 1 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(*.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1)
(*.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 2) (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (sqrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1)
(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 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 2)
(neg.f64 (log.f64 (exp.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 (PI.f64) 1/2)))))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.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))))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 1))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(-.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) 0)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2))) 1)
(-.f64 (+.f64 1 (pow.f64 (exp.f64 (PI.f64)) 1/2)) 1)
(-.f64 (/.f64 1 (-.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))) (/.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) 1/2)) 2) (-.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(*.f64 1 (pow.f64 (exp.f64 (PI.f64)) 1/2))
(*.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) 1)
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2)) 2) (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2)))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2)) (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2)))
(*.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 (PI.f64) 1/2)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) 1/2)) 2) (expm1.f64 (*.f64 (PI.f64) 1/2))))))
(*.f64 (-.f64 1 (pow.f64 (expm1.f64 (*.f64 (PI.f64) 1/2)) 2)) (/.f64 1 (-.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) 1/2)) 2) (expm1.f64 (*.f64 (PI.f64) 1/2)))) (+.f64 1 (pow.f64 (expm1.f64 (*.f64 (PI.f64) 1/2)) 3))))
(/.f64 1 (/.f64 (-.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (-.f64 1 (pow.f64 (expm1.f64 (*.f64 (PI.f64) 1/2)) 2))))
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 (PI.f64) 1/2)) 3)) (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) 1/2)) 2) (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 (PI.f64) 1/2)) 3)) (+.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) 1/2)) 2) (-.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(/.f64 (-.f64 1 (pow.f64 (expm1.f64 (*.f64 (PI.f64) 1/2)) 2)) (-.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 (PI.f64) 1/2)) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) 1/2)) 2) (expm1.f64 (*.f64 (PI.f64) 1/2))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (expm1.f64 (*.f64 (PI.f64) 1/2)) 2))) (neg.f64 (-.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(/.f64 (-.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) 1/2)) 2) 1) (-.f64 (expm1.f64 (*.f64 (PI.f64) 1/2)) 1))
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) 1)
(pow.f64 (exp.f64 (PI.f64)) 1/2)
(pow.f64 (exp.f64 1/2) (PI.f64))
(pow.f64 (E.f64) (*.f64 (PI.f64) 1/2))
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2)) 3)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2)) 2)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (*.f64 (PI.f64) 1/2)))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) 2))
(log.f64 (exp.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2)))
(exp.f64 (*.f64 (PI.f64) 1/2))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2)))
(fma.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) 1/2))) 1)
(fma.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) 1/2))) 1)
(+.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) -1)
(-.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) 1)
(*.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 (expm1.f64 (*.f64 (PI.f64) 1/2)) 1)
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) 1/2))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) 1/2))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) 1/2))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) 3) 1) (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) 2) (+.f64 1 (pow.f64 (exp.f64 (PI.f64)) 1/2))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) 2) 1) (+.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) 1))
(pow.f64 (expm1.f64 (*.f64 (PI.f64) 1/2)) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) 1/2))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) 1/2))) 2)
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) 1/2)) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 (PI.f64) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) 1/2)) 3))
(exp.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) 1/2))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) 1/2))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 (PI.f64) 1/2))))
(+.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -1)
(-.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1)
(*.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(*.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1)
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 2) (cbrt.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (sqrt.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3) 1) (+.f64 (pow.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (+.f64 1 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) 1) (+.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1))
(pow.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 2)
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 3))
(exp.f64 (log.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))

simplify226.0ms (1%)

Algorithm
1×egg-herbie
Rules
1298×times-frac
1068×fma-neg
654×log-prod
510×cancel-sign-sub-inv
374×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
047814028
1110511114
2353710580
Stop Event
1×node limit
Counts
250 → 282
Calls
Call 1
Inputs
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
(-.f64 (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1)
(-.f64 (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1)
(-.f64 (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1)
(-.f64 (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1)
(-.f64 (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1)
(-.f64 (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1)
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(-.f64 (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1)
(-.f64 (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) 1)
(-.f64 (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) 1)
(-.f64 (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) 1)
(-.f64 (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) 1)
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(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 0 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
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(cbrt.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.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))))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 1))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(-.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) 0)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2))) 1)
(-.f64 (+.f64 1 (pow.f64 (exp.f64 (PI.f64)) 1/2)) 1)
(-.f64 (/.f64 1 (-.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))) (/.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) 1/2)) 2) (-.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(*.f64 1 (pow.f64 (exp.f64 (PI.f64)) 1/2))
(*.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) 1)
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2)) 2) (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2)))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2)) (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2)))
(*.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 (PI.f64) 1/2)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) 1/2)) 2) (expm1.f64 (*.f64 (PI.f64) 1/2))))))
(*.f64 (-.f64 1 (pow.f64 (expm1.f64 (*.f64 (PI.f64) 1/2)) 2)) (/.f64 1 (-.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) 1/2)) 2) (expm1.f64 (*.f64 (PI.f64) 1/2)))) (+.f64 1 (pow.f64 (expm1.f64 (*.f64 (PI.f64) 1/2)) 3))))
(/.f64 1 (/.f64 (-.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (-.f64 1 (pow.f64 (expm1.f64 (*.f64 (PI.f64) 1/2)) 2))))
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 (PI.f64) 1/2)) 3)) (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) 1/2)) 2) (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 (PI.f64) 1/2)) 3)) (+.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) 1/2)) 2) (-.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(/.f64 (-.f64 1 (pow.f64 (expm1.f64 (*.f64 (PI.f64) 1/2)) 2)) (-.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 (PI.f64) 1/2)) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) 1/2)) 2) (expm1.f64 (*.f64 (PI.f64) 1/2))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (expm1.f64 (*.f64 (PI.f64) 1/2)) 2))) (neg.f64 (-.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(/.f64 (-.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) 1/2)) 2) 1) (-.f64 (expm1.f64 (*.f64 (PI.f64) 1/2)) 1))
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) 1)
(pow.f64 (exp.f64 (PI.f64)) 1/2)
(pow.f64 (exp.f64 1/2) (PI.f64))
(pow.f64 (E.f64) (*.f64 (PI.f64) 1/2))
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2)) 3)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2)) 2)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (*.f64 (PI.f64) 1/2)))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) 2))
(log.f64 (exp.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2)))
(exp.f64 (*.f64 (PI.f64) 1/2))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2)))
(fma.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) 1/2))) 1)
(fma.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) 1/2))) 1)
(+.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) -1)
(-.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) 1)
(*.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 (expm1.f64 (*.f64 (PI.f64) 1/2)) 1)
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) 1/2))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) 1/2))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) 1/2))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) 3) 1) (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) 2) (+.f64 1 (pow.f64 (exp.f64 (PI.f64)) 1/2))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) 2) 1) (+.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) 1))
(pow.f64 (expm1.f64 (*.f64 (PI.f64) 1/2)) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) 1/2))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) 1/2))) 2)
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) 1/2)) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 (PI.f64) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) 1/2)) 3))
(exp.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) 1/2))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) 1/2))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 (PI.f64) 1/2))))
(+.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -1)
(-.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1)
(*.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(*.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1)
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 2) (cbrt.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (sqrt.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3) 1) (+.f64 (pow.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (+.f64 1 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) 1) (+.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1))
(pow.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 2)
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 3))
(exp.f64 (log.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
Outputs
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(-.f64 (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1)
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1)
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1)
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1)
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1)
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1)
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1)
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1)
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) 1)
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) 1)
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) 1)
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) 1)
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(+.f64 0 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
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(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.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)))))))
(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(*.f64 1 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
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(/.f64 (-.f64 1 (pow.f64 (expm1.f64 (*.f64 1/2 (PI.f64))) 2)) (-.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64)))))
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) 1)
(sqrt.f64 (exp.f64 (PI.f64)))
(pow.f64 (exp.f64 (PI.f64)) 1/2)
(sqrt.f64 (exp.f64 (PI.f64)))
(pow.f64 (exp.f64 1/2) (PI.f64))
(sqrt.f64 (exp.f64 (PI.f64)))
(pow.f64 (E.f64) (*.f64 (PI.f64) 1/2))
(sqrt.f64 (exp.f64 (PI.f64)))
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2)) 3)
(sqrt.f64 (exp.f64 (PI.f64)))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) 3) 1/3)
(sqrt.f64 (exp.f64 (PI.f64)))
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2)) 2)
(sqrt.f64 (exp.f64 (PI.f64)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 2))) (cbrt.f64 (*.f64 1/2 (PI.f64))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (*.f64 (PI.f64) 1/2)))
(sqrt.f64 (exp.f64 (PI.f64)))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) 2))
(sqrt.f64 (exp.f64 (PI.f64)))
(log.f64 (exp.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2)))
(sqrt.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2))))
(sqrt.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) 3))
(sqrt.f64 (exp.f64 (PI.f64)))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2)))
(sqrt.f64 (exp.f64 (PI.f64)))
(exp.f64 (*.f64 (PI.f64) 1/2))
(sqrt.f64 (exp.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2)))
(sqrt.f64 (exp.f64 (PI.f64)))
(fma.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)) 1)
(sqrt.f64 (exp.f64 (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) 1/2))) 1)
(sqrt.f64 (exp.f64 (PI.f64)))
(fma.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) 1/2))) 1)
(sqrt.f64 (exp.f64 (PI.f64)))
(+.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) -1)
(+.f64 -1 (sqrt.f64 (exp.f64 (PI.f64))))
(expm1.f64 (*.f64 1/2 (PI.f64)))
(-.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) 1)
(+.f64 -1 (sqrt.f64 (exp.f64 (PI.f64))))
(expm1.f64 (*.f64 1/2 (PI.f64)))
(*.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))
(+.f64 -1 (sqrt.f64 (exp.f64 (PI.f64))))
(expm1.f64 (*.f64 1/2 (PI.f64)))
(*.f64 (expm1.f64 (*.f64 (PI.f64) 1/2)) 1)
(+.f64 -1 (sqrt.f64 (exp.f64 (PI.f64))))
(expm1.f64 (*.f64 1/2 (PI.f64)))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) 1/2))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) 1/2))) 2))
(+.f64 -1 (sqrt.f64 (exp.f64 (PI.f64))))
(expm1.f64 (*.f64 1/2 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) 1/2))))
(+.f64 -1 (sqrt.f64 (exp.f64 (PI.f64))))
(expm1.f64 (*.f64 1/2 (PI.f64)))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) 1/2))))
(+.f64 -1 (sqrt.f64 (exp.f64 (PI.f64))))
(expm1.f64 (*.f64 1/2 (PI.f64)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) 3) 1) (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) 2) (+.f64 1 (pow.f64 (exp.f64 (PI.f64)) 1/2))))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (exp.f64 (PI.f64))) 3) -1) (+.f64 (pow.f64 (sqrt.f64 (exp.f64 (PI.f64))) 2) (+.f64 1 (sqrt.f64 (exp.f64 (PI.f64))))))
(/.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (exp.f64 (PI.f64))) 3)) (+.f64 1 (+.f64 (sqrt.f64 (exp.f64 (PI.f64))) (exp.f64 (PI.f64)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) 3/2)) (+.f64 1 (+.f64 (sqrt.f64 (exp.f64 (PI.f64))) (exp.f64 (PI.f64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) 2) 1) (+.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) 1))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (exp.f64 (PI.f64))) 2) -1) (+.f64 1 (sqrt.f64 (exp.f64 (PI.f64)))))
(/.f64 (+.f64 -1 (exp.f64 (PI.f64))) (+.f64 1 (sqrt.f64 (exp.f64 (PI.f64)))))
(/.f64 (expm1.f64 (PI.f64)) (+.f64 1 (sqrt.f64 (exp.f64 (PI.f64)))))
(pow.f64 (expm1.f64 (*.f64 (PI.f64) 1/2)) 1)
(+.f64 -1 (sqrt.f64 (exp.f64 (PI.f64))))
(expm1.f64 (*.f64 1/2 (PI.f64)))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) 1/2))) 3)
(+.f64 -1 (sqrt.f64 (exp.f64 (PI.f64))))
(expm1.f64 (*.f64 1/2 (PI.f64)))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) 1/2)) 3) 1/3)
(+.f64 -1 (sqrt.f64 (exp.f64 (PI.f64))))
(expm1.f64 (*.f64 1/2 (PI.f64)))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) 1/2))) 2)
(+.f64 -1 (sqrt.f64 (exp.f64 (PI.f64))))
(expm1.f64 (*.f64 1/2 (PI.f64)))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) 1/2)) 2))
(+.f64 -1 (sqrt.f64 (exp.f64 (PI.f64))))
(expm1.f64 (*.f64 1/2 (PI.f64)))
(log.f64 (exp.f64 (expm1.f64 (*.f64 (PI.f64) 1/2))))
(+.f64 -1 (sqrt.f64 (exp.f64 (PI.f64))))
(expm1.f64 (*.f64 1/2 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(+.f64 -1 (sqrt.f64 (exp.f64 (PI.f64))))
(expm1.f64 (*.f64 1/2 (PI.f64)))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) 1/2)) 3))
(+.f64 -1 (sqrt.f64 (exp.f64 (PI.f64))))
(expm1.f64 (*.f64 1/2 (PI.f64)))
(exp.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) 1/2))))
(+.f64 -1 (sqrt.f64 (exp.f64 (PI.f64))))
(expm1.f64 (*.f64 1/2 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) 1/2))) 1))
(+.f64 -1 (sqrt.f64 (exp.f64 (PI.f64))))
(expm1.f64 (*.f64 1/2 (PI.f64)))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 (PI.f64) 1/2))))
(+.f64 -1 (sqrt.f64 (exp.f64 (PI.f64))))
(expm1.f64 (*.f64 1/2 (PI.f64)))
(+.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -1)
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1)
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1)
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 2))
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 2) (cbrt.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (sqrt.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3) 1) (+.f64 (pow.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (+.f64 1 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3) -1) (+.f64 (pow.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (+.f64 1 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (pow.f64 (exp.f64 2) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (+.f64 (pow.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4) (+.f64 1 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) 1) (+.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) -1) (+.f64 1 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 2) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (+.f64 1 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4)) (+.f64 1 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(pow.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1)
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3)
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 3) 1/3)
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 2)
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2))
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (exp.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 3))
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (log.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 1))
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))

localize87.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
100.0%
(sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))
✓98.5%
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
98.5%
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓11.4%
(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 (PI.f64) 1/2))
Compiler

Compiled 84 to 72 computations (14.3% saved)

series4.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite81.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1638×log-prod
1178×prod-diff
624×expm1-udef
622×log1p-udef
496×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
018112
137672
2456560
Stop Event
1×node limit
Counts
2 → 76
Calls
Call 1
Inputs
(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))))))
Outputs
(+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 0 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))) (cbrt.f64 (exp.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))) 1)
(*.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 1)
(*.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(*.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) (pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 2) (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(*.f64 (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) (pow.f64 (*.f64 1/2 (PI.f64)) 3)) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64))))
(pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 3)
(pow.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 2))
(log.f64 (exp.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (pow.f64 (exp.f64 1/2) (PI.f64))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (pow.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64)))) (pow.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64)))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(cbrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(exp.f64 (log.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(+.f64 0 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
(-.f64 0 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 1)
(*.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1)
(*.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) -1)
(*.f64 1 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (neg.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 2) (neg.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))
(*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4) (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)))
(*.f64 -1 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1/2))
(*.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (neg.f64 (sqrt.f64 2)) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))
(*.f64 (*.f64 -1 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (*.f64 -1 (sqrt.f64 2)) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (*.f64 -1 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))
(/.f64 (-.f64 0 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2)) (+.f64 0 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 0 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
(/.f64 (-.f64 0 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/2)
(pow.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 3)
(pow.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4) 2)
(neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fabs.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
(cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))

simplify127.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
754×fma-def
710×times-frac
586×log-prod
452×distribute-lft-in
430×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02063978
14523700
213243582
353753522
Stop Event
1×node limit
Counts
100 → 104
Calls
Call 1
Inputs
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(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
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(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
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(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 0 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))) (cbrt.f64 (exp.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))) 1)
(*.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 1)
(*.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(*.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) (pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 2) (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(*.f64 (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) (pow.f64 (*.f64 1/2 (PI.f64)) 3)) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64))))
(pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 3)
(pow.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 2))
(log.f64 (exp.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (pow.f64 (exp.f64 1/2) (PI.f64))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (pow.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64)))) (pow.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64)))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(cbrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(exp.f64 (log.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(+.f64 0 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
(-.f64 0 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 1)
(*.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1)
(*.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) -1)
(*.f64 1 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (neg.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 2) (neg.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))
(*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4) (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)))
(*.f64 -1 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1/2))
(*.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (neg.f64 (sqrt.f64 2)) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))
(*.f64 (*.f64 -1 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (*.f64 -1 (sqrt.f64 2)) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (*.f64 -1 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))
(/.f64 (-.f64 0 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2)) (+.f64 0 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 0 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
(/.f64 (-.f64 0 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/2)
(pow.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 3)
(pow.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4) 2)
(neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fabs.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
(cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
Outputs
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(fma.f64 1/2 (PI.f64) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(fma.f64 1/2 (PI.f64) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(fma.f64 1/2 (PI.f64) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(fma.f64 1/2 (PI.f64) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
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(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
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(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (sqrt.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 3/2)
(*.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (neg.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(*.f64 (neg.f64 (sqrt.f64 2)) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (neg.f64 (sqrt.f64 2)))
(*.f64 (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))
(neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (*.f64 -1 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (neg.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(*.f64 (*.f64 -1 (sqrt.f64 2)) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (neg.f64 (sqrt.f64 2)))
(*.f64 (*.f64 -1 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))
(neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(/.f64 (-.f64 0 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2)) (+.f64 0 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 0 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
(/.f64 (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2)) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 0))
(/.f64 (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2)) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 -1/2 (/.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (-.f64 0 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(/.f64 (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(/.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 -2 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/2)
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(pow.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1)
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 3)
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(pow.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2) 1/3)
(cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2))
(pow.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4) 2)
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fabs.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
(neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1/2))
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 1))
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))

eval1.3s (5.8%)

Compiler

Compiled 40566 to 35095 computations (13.5% saved)

prune686.0ms (3.1%)

Pruning

34 alts after pruning (30 fresh and 4 done)

PrunedKeptTotal
New1255231278
Fresh6713
Picked011
Done235
Total1263341297
Accurracy
10.1%
Counts
1297 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.5%
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)) (cbrt.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1))) (cbrt.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)) -1)
6.5%
(fma.f64 (*.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
6.8%
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
6.8%
(fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2)))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
✓6.8%
(fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
6.7%
(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 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2)))))) (*.f64 (PI.f64) 1/2))
6.7%
(fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2))) (*.f64 (PI.f64) 1/2))
6.8%
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3)
▶6.8%
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
▶5.4%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1)))
✓8.2%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
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)))))))
✓6.8%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓4.2%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
6.5%
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (*.f64 (*.f64 (cbrt.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)))) (fma.f64 (neg.f64 (*.f64 (cbrt.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) (*.f64 (*.f64 (cbrt.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))))
6.6%
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (*.f64 (cbrt.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)))) (fma.f64 (neg.f64 (*.f64 (cbrt.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) (*.f64 (*.f64 (cbrt.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))))
6.7%
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.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)))))))
6.7%
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 4 (pow.f64 (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 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
▶6.6%
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 2))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))
6.8%
(*.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 2)))
6.5%
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))
6.7%
(neg.f64 (log.f64 (exp.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 (PI.f64) 1/2)))))
8.2%
(log.f64 (/.f64 (+.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) 1/2))) 3)) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
6.7%
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3))))
6.8%
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4)) (+.f64 1 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
6.8%
(log.f64 (/.f64 (exp.f64 (*.f64 (PI.f64) 1/2)) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
6.8%
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
▶6.7%
(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
▶8.2%
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
6.8%
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1) 3)) (fma.f64 (+.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1) (+.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2) 1))))
6.8%
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1) 3)) (+.f64 1 (*.f64 (+.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1) (+.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2))))))
6.8%
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
1.4%
(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 1882 to 1729 computations (8.1% saved)

localize77.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(sqrt.f64 (fma.f64 x -1/2 1/2))
✓100.0%
(acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
✓99.9%
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
✓90.5%
(fma.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))
Compiler

Compiled 85 to 68 computations (20% saved)

series2.0ms (0%)

Counts
4 → 16
Calls

12 calls:

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

rewrite199.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1392×log-prod
748×fma-def
724×pow-prod-up
690×pow-exp
578×expm1-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017108
135580
2401780
Stop Event
1×node limit
Counts
4 → 217
Calls
Call 1
Inputs
(fma.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(sqrt.f64 (fma.f64 x -1/2 1/2))
Outputs
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64)))
(+.f64 0 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(+.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1) (*.f64 1/2 (PI.f64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 1)
(*.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1)
(*.f64 1 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(*.f64 (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2) (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(*.f64 (sqrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (sqrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(/.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/8)) (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 2) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 2) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (neg.f64 (*.f64 1/2 (PI.f64)))))
(pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 2))
(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64)))) (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(log.f64 (*.f64 (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64))))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(exp.f64 (log.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(+.f64 (*.f64 1/2 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1))
(+.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (+.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 0 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(+.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (cbrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1)
(*.f64 1 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (/.f64 1 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (-.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (/.f64 1 (-.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (-.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(/.f64 1 (/.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (-.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))))
(/.f64 1 (/.f64 (-.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (-.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (-.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))) (neg.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (-.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (neg.f64 (-.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (-.f64 (pow.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (*.f64 (*.f64 1/2 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)) (-.f64 (*.f64 1/2 (PI.f64)) (neg.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))) 1)
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)
(pow.f64 (/.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (-.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))) -1)
(pow.f64 (/.f64 (-.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) -1)
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) (/.f64 1 (exp.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64)))) (exp.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64)))) (/.f64 1 (exp.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (exp.f64 (PI.f64)) 1/2)))
(log.f64 (*.f64 (exp.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64))))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (exp.f64 (PI.f64)) 1/2)))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64))))))
(log.f64 (/.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) (+.f64 1 (expm1.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64)))) (exp.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64)))) (+.f64 1 (expm1.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1/2 (PI.f64) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (PI.f64) 1/2 (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1))
(fma.f64 (*.f64 1/2 (PI.f64)) 1 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 1/2 (PI.f64)) 1 (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1 (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1 (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1 (+.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1 (*.f64 1/2 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1 (*.f64 1/2 (PI.f64)) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1))
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(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (*.f64 1/2 (PI.f64))) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 0 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1)
(*.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (cbrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) (pow.f64 (fma.f64 x -1/2 1/2) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 1/2))
(pow.f64 (fma.f64 x -1/2 1/2) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)
(pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2) 1/3)
(pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2)
(fabs.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x -1/2 1/2)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x -1/2 1/2)) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x -1/2 1/2)) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (fma.f64 x -1/2 1/2))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (fma.f64 x -1/2 1/2))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))

simplify152.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1096×distribute-lft-in
1074×unswap-sqr
668×times-frac
612×fma-neg
450×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046310049
19988939
230707701
Stop Event
1×node limit
Counts
233 → 265
Calls
Call 1
Inputs
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))
(+.f64 (*.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2)))))
(+.f64 (*.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5))) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64)))
(+.f64 0 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(+.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1) (*.f64 1/2 (PI.f64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 1)
(*.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1)
(*.f64 1 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(*.f64 (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2) (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(*.f64 (sqrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (sqrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(/.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/8)) (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 2) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 2) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (neg.f64 (*.f64 1/2 (PI.f64)))))
(pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 2))
(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64)))) (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(log.f64 (*.f64 (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64))))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(exp.f64 (log.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(+.f64 (*.f64 1/2 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1))
(+.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (+.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 0 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(+.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (cbrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1)
(*.f64 1 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (/.f64 1 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (-.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (/.f64 1 (-.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (-.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(/.f64 1 (/.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (-.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))))
(/.f64 1 (/.f64 (-.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (-.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (-.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))) (neg.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (-.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (neg.f64 (-.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (-.f64 (pow.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (*.f64 (*.f64 1/2 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)) (-.f64 (*.f64 1/2 (PI.f64)) (neg.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))) 1)
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)
(pow.f64 (/.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (-.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))) -1)
(pow.f64 (/.f64 (-.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) -1)
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) (/.f64 1 (exp.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
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(log.f64 (*.f64 (/.f64 1 (exp.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (exp.f64 (PI.f64)) 1/2)))
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(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
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(exp.f64 (*.f64 (*.f64 3 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1/3))
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(fma.f64 1 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (+.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
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(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
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(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2) (cbrt.f64 (*.f64 1/2 (PI.f64))) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1))
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(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (/.f64 1 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (-.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (+.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
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(fma.f64 (sqrt.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 1/2 (PI.f64)))
(fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
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(fma.f64 (+.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (-.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (+.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
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(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1))
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(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(+.f64 (*.f64 1/2 (PI.f64)) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 0 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (cbrt.f64 (exp.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1)
(*.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1)
(*.f64 1 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (+.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (fma.f64 1/2 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1)
(pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
(pow.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)
(sqrt.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(log.f64 (exp.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log.f64 (/.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64)))) (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64)))) (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(cbrt.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(expm1.f64 (log1p.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (log.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2))
(log1p.f64 (expm1.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 1/2 (PI.f64)) 1 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1 (*.f64 1/2 (PI.f64)) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2) (cbrt.f64 (*.f64 1/2 (PI.f64))) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (*.f64 1/2 (PI.f64))) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 0 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1)
(*.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (cbrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) (pow.f64 (fma.f64 x -1/2 1/2) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 1/2))
(pow.f64 (fma.f64 x -1/2 1/2) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)
(pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2) 1/3)
(pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2)
(fabs.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x -1/2 1/2)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x -1/2 1/2)) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x -1/2 1/2)) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (fma.f64 x -1/2 1/2))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (fma.f64 x -1/2 1/2))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
Outputs
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 1/2 (PI.f64) (-.f64 (*.f64 -2 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 1/2 (PI.f64) (-.f64 (*.f64 -2 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 1/2 (PI.f64) (-.f64 (*.f64 -2 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 1/2 (PI.f64) (-.f64 (*.f64 -2 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 1/2 (PI.f64) (-.f64 (*.f64 -2 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 1/2 (PI.f64) (-.f64 (*.f64 -2 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 1/2 (PI.f64) (-.f64 (*.f64 -2 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 1/2 (PI.f64) (-.f64 (*.f64 -2 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 1/2 (PI.f64) (-.f64 (*.f64 -2 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 1/2 (PI.f64) (-.f64 (*.f64 -2 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 1/2 (PI.f64) (-.f64 (*.f64 -2 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 1/2 (PI.f64) (-.f64 (*.f64 -2 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (PI.f64)))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))
(fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))
(+.f64 (*.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2)))))
(fma.f64 -1/32 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 3)) (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2)))))
(+.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)) (*.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 1/2))))
(+.f64 (*.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5))) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))
(fma.f64 -1/32 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 3)) (+.f64 (sqrt.f64 1/2) (fma.f64 -1/128 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5)) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))
(+.f64 (sqrt.f64 1/2) (+.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (*.f64 -1/128 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5)))) (*.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 1/2)))))
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 1/2))) (+.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)) (/.f64 -1/128 (/.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.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 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 0 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
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(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1) 1))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (fma.f64 x -1/2 1/2))) 1/3))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (fma.f64 x -1/2 1/2))) 2))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(sqrt.f64 (fma.f64 x -1/2 1/2))

localize58.0ms (0.3%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
98.4%
(asin.f64 (sqrt.f64 1/2))
✓3.4%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1)))
Compiler

Compiled 47 to 45 computations (4.3% saved)

series0.0ms (0%)

Counts
1 → 0

rewrite85.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1322×log-prod
1196×fma-def
534×expm1-udef
532×log1p-udef
484×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01541
133425
2450225
Stop Event
1×node limit
Counts
1 → 105
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1)))
Outputs
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 -2 (asin.f64 (sqrt.f64 1/2)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(+.f64 0 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) (*.f64 (PI.f64) 1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)))) (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))))))
(*.f64 1 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)))
(*.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 1)
(*.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))))
(*.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3) 8)) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (fma.f64 2 (asin.f64 (sqrt.f64 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 1/2)) 2) 4)) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (fma.f64 2 (asin.f64 (sqrt.f64 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 1/2)) 3) 8))))
(/.f64 1 (/.f64 (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2)) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (fma.f64 2 (asin.f64 (sqrt.f64 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 1/2)) 2) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 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 1/2)) 3) 8))) (neg.f64 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (fma.f64 2 (asin.f64 (sqrt.f64 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 1/2)) 2) 4))) (neg.f64 (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2)) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))) (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2)))
(pow.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) 3)
(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 2))
(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)))))
(log.f64 (*.f64 (sqrt.f64 (exp.f64 (PI.f64))) (/.f64 1 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 1/2))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (/.f64 1 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 1/2))))))
(log.f64 (*.f64 (exp.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2)) (sqrt.f64 (exp.f64 (PI.f64)))))
(log.f64 (*.f64 (exp.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2)) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 1/2)))) (sqrt.f64 (exp.f64 (PI.f64)))))
(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 1/2)))) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(log.f64 (/.f64 (sqrt.f64 (exp.f64 (PI.f64))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 1/2)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))))
(cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))))
(exp.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))))
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(fma.f64 (PI.f64) 1/2 (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1))
(fma.f64 2 (neg.f64 (asin.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1))
(fma.f64 1 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 -2 (asin.f64 (sqrt.f64 1/2)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 1 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 1 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 1 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) (*.f64 (PI.f64) 1/2))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(fma.f64 1/2 (PI.f64) (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1))
(fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))
(fma.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 1 (fma.f64 -2 (asin.f64 (sqrt.f64 1/2)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 1 (fma.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 1 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 2)) (fma.f64 -2 (asin.f64 (sqrt.f64 1/2)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 2)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (fma.f64 -2 (asin.f64 (sqrt.f64 1/2)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1))
(fma.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (fma.f64 -2 (asin.f64 (sqrt.f64 1/2)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1))
(fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1))
(fma.f64 (neg.f64 (PI.f64)) -1/2 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(fma.f64 (neg.f64 (PI.f64)) -1/2 (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1))
(fma.f64 -2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2))
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3) 8)) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (fma.f64 -2 (asin.f64 (sqrt.f64 1/2)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3) 8)) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3) 8)) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 -1 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2))
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2))) (fma.f64 -2 (asin.f64 (sqrt.f64 1/2)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2)) (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))) (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2)) (*.f64 (PI.f64) 1/2))
(fma.f64 (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2)) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2)) (*.f64 (PI.f64) 1/2))
(fma.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) 2 (*.f64 (PI.f64) 1/2))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (fma.f64 -2 (asin.f64 (sqrt.f64 1/2)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4))) (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 1/2)))) (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2))

simplify167.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1520×fma-def
1166×fma-neg
804×div-sub
482×unsub-neg
360×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02244643
15114459
213994045
352514045
Stop Event
1×node limit
Counts
105 → 120
Calls
Call 1
Inputs
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 -2 (asin.f64 (sqrt.f64 1/2)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(+.f64 0 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) (*.f64 (PI.f64) 1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)))) (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))))))
(*.f64 1 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)))
(*.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 1)
(*.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))))
(*.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3) 8)) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (fma.f64 2 (asin.f64 (sqrt.f64 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 1/2)) 2) 4)) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (fma.f64 2 (asin.f64 (sqrt.f64 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 1/2)) 3) 8))))
(/.f64 1 (/.f64 (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2)) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (fma.f64 2 (asin.f64 (sqrt.f64 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 1/2)) 2) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 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 1/2)) 3) 8))) (neg.f64 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (fma.f64 2 (asin.f64 (sqrt.f64 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 1/2)) 2) 4))) (neg.f64 (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2)) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))) (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2)))
(pow.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) 3)
(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 2))
(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)))))
(log.f64 (*.f64 (sqrt.f64 (exp.f64 (PI.f64))) (/.f64 1 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 1/2))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (/.f64 1 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 1/2))))))
(log.f64 (*.f64 (exp.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2)) (sqrt.f64 (exp.f64 (PI.f64)))))
(log.f64 (*.f64 (exp.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2)) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 1/2)))) (sqrt.f64 (exp.f64 (PI.f64)))))
(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 1/2)))) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(log.f64 (/.f64 (sqrt.f64 (exp.f64 (PI.f64))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 1/2)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))))
(cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))))
(exp.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))))
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(fma.f64 (PI.f64) 1/2 (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1))
(fma.f64 2 (neg.f64 (asin.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1))
(fma.f64 1 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 -2 (asin.f64 (sqrt.f64 1/2)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 1 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 1 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 1 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) (*.f64 (PI.f64) 1/2))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(fma.f64 1/2 (PI.f64) (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1))
(fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))
(fma.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 1 (fma.f64 -2 (asin.f64 (sqrt.f64 1/2)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 1 (fma.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 1 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 2)) (fma.f64 -2 (asin.f64 (sqrt.f64 1/2)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 2)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (fma.f64 -2 (asin.f64 (sqrt.f64 1/2)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1))
(fma.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (fma.f64 -2 (asin.f64 (sqrt.f64 1/2)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1))
(fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1))
(fma.f64 (neg.f64 (PI.f64)) -1/2 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(fma.f64 (neg.f64 (PI.f64)) -1/2 (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1))
(fma.f64 -2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2))
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3) 8)) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (fma.f64 -2 (asin.f64 (sqrt.f64 1/2)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3) 8)) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3) 8)) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 -1 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2))
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2))) (fma.f64 -2 (asin.f64 (sqrt.f64 1/2)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2)) (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))) (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2)) (*.f64 (PI.f64) 1/2))
(fma.f64 (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2)) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2)) (*.f64 (PI.f64) 1/2))
(fma.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) 2 (*.f64 (PI.f64) 1/2))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (fma.f64 -2 (asin.f64 (sqrt.f64 1/2)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4))) (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 1/2)))) (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2))
Outputs
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1))
(fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 -2 (asin.f64 (sqrt.f64 1/2)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) 2))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (*.f64 (asin.f64 (sqrt.f64 1/2)) 2)))
(fma.f64 (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) 2)) (neg.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4))) (*.f64 (PI.f64) 1/2))
(+.f64 0 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)))
(fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) (*.f64 (PI.f64) 1/2))
(fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)))) (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))))))
(fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))
(*.f64 1 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)))
(fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))
(*.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 1)
(fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))
(*.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 2)))
(fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))))
(fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))
(*.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))))
(fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3) 8)) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3) 8)) (/.f64 1 (fma.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 3)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) 2) (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 1/2)) 2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3) -8)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 1/2))))))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) -4)) (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 1/2)) 2)))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) -4 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 1/2)) 2)))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))))
(fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))
(/.f64 1 (/.f64 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (fma.f64 2 (asin.f64 (sqrt.f64 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 1/2)) 3) 8))))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3) 8)) (/.f64 1 (fma.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 3)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) 2) (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 1/2)) 2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
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(fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))
(fma.f64 (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2)) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2)) (*.f64 (PI.f64) 1/2))
(fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))
(fma.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) 2 (*.f64 (PI.f64) 1/2))
(fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (asin.f64 (sqrt.f64 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 1/2))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (fma.f64 -2 (asin.f64 (sqrt.f64 1/2)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (asin.f64 (sqrt.f64 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 1/2))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (asin.f64 (sqrt.f64 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 1/2))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) 2))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (*.f64 (asin.f64 (sqrt.f64 1/2)) 2)))
(fma.f64 (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) 2)) (neg.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4))) (*.f64 (PI.f64) 1/2))
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4))) (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (*.f64 (PI.f64) 1/2))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) 2))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (*.f64 (asin.f64 (sqrt.f64 1/2)) 2)))
(fma.f64 (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) 2)) (neg.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2))
(fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 1/2)))) (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2))
(fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))

localize61.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
100.0%
(sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))
98.5%
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓90.6%
(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
90.5%
(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))
Compiler

Compiled 68 to 56 computations (17.6% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite75.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
1480×log-prod
696×pow-exp
624×prod-diff
590×expm1-udef
588×log1p-udef
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01737
133837
2396033
Stop Event
1×node limit
Counts
1 → 52
Calls
Call 1
Inputs
(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
Outputs
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 0)
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 2 (*.f64 1/3 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) (*.f64 1/3 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(+.f64 0 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))
(+.f64 (*.f64 1/2 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) (*.f64 1/2 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(+.f64 (*.f64 1/3 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) (*.f64 2 (*.f64 1/3 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))
(+.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1) (*.f64 1/2 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 1)
(*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)
(*.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))
(*.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 2) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(*.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(*.f64 2 (*.f64 1/2 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(*.f64 3 (*.f64 1/3 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(*.f64 1/3 (*.f64 3 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 3) (pow.f64 (*.f64 1/2 (PI.f64)) 3)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64))))
(pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 3)
(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 2))
(cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(exp.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 2))
(log1p.f64 (expm1.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (*.f64 1/2 (PI.f64)) 1 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1 (*.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64)))
(fma.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2) (cbrt.f64 (*.f64 1/2 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (*.f64 1/2 (PI.f64)))
(fma.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (*.f64 1/2 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (*.f64 1/2 (PI.f64)))
(fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1 (*.f64 1/2 (PI.f64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (*.f64 1/2 (PI.f64)))
(fma.f64 (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (*.f64 1/2 (PI.f64)))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))

simplify118.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1132×log-prod
976×cancel-sign-sub-inv
800×cube-prod
684×associate-+r+
656×swap-sqr
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01362314
13182292
212732280
351992252
Stop Event
1×node limit
Counts
64 → 63
Calls
Call 1
Inputs
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 0)
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 2 (*.f64 1/3 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) (*.f64 1/3 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(+.f64 0 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))
(+.f64 (*.f64 1/2 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) (*.f64 1/2 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(+.f64 (*.f64 1/3 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) (*.f64 2 (*.f64 1/3 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))
(+.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1) (*.f64 1/2 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 1)
(*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)
(*.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))
(*.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 2) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(*.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(*.f64 2 (*.f64 1/2 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(*.f64 3 (*.f64 1/3 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(*.f64 1/3 (*.f64 3 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 3) (pow.f64 (*.f64 1/2 (PI.f64)) 3)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64))))
(pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 3)
(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 2))
(cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(exp.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 2))
(log1p.f64 (expm1.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (*.f64 1/2 (PI.f64)) 1 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1 (*.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64)))
(fma.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2) (cbrt.f64 (*.f64 1/2 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (*.f64 1/2 (PI.f64)))
(fma.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (*.f64 1/2 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (*.f64 1/2 (PI.f64)))
(fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1 (*.f64 1/2 (PI.f64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (*.f64 1/2 (PI.f64)))
(fma.f64 (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (*.f64 1/2 (PI.f64)))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
Outputs
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 0)
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 2 (*.f64 1/3 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) (*.f64 1/3 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 0 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) (*.f64 1/2 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/3 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) (*.f64 2 (*.f64 1/3 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 1)
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 2) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 2 (*.f64 1/2 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 3 (*.f64 1/3 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 1/3 (*.f64 3 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 3) (pow.f64 (*.f64 1/2 (PI.f64)) 3)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64))))))
(/.f64 (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8) (*.f64 1/8 (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8 (*.f64 1/8 (pow.f64 (PI.f64) 3))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 4 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -1)))))
(/.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 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (*.f64 (PI.f64) (+.f64 (*.f64 (PI.f64) 1/4) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.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 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 6) 4 (*.f64 (PI.f64) (fma.f64 (PI.f64) 1/4 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64))))
(/.f64 (+.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 -1/2 (PI.f64))))
(/.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 4 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (pow.f64 (PI.f64) 2) -1/4)) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) -1/2)))
(/.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (*.f64 (pow.f64 (PI.f64) 2) -1/4)) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) -1/2)))
(/.f64 (fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 6) 4 (*.f64 (pow.f64 (PI.f64) 2) -1/4)) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) -1/2)))
(pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 3)
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 3) 1/3)
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(pow.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 2)
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(sqrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 3))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 1))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 1) 1))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 3))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 1/3))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log1p.f64 (expm1.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 1/2 (PI.f64)) 1 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1 (*.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2) (cbrt.f64 (*.f64 1/2 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (*.f64 1/2 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))

localize97.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)
✓99.9%
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
✓98.5%
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
✓90.5%
(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))
Compiler

Compiled 126 to 108 computations (14.3% saved)

series5.0ms (0%)

Counts
4 → 48
Calls

12 calls:

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

rewrite295.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
1904×fma-def
806×expm1-udef
800×log1p-udef
492×add-sqr-sqrt
480×pow1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
022196
1492122
26643118
Stop Event
1×node limit
Counts
4 → 415
Calls
Call 1
Inputs
(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (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)
Outputs
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4) 1))
(+.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))
(+.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) 4 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))
(+.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))
(+.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4) 1 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))
(+.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2)) (cbrt.f64 (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))
(+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(*.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) 1)
(*.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))))))
(*.f64 1 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))) 2) (cbrt.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(*.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))) (hypot.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (*.f64 64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 3))) (/.f64 1 (fma.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (pow.f64 (*.f64 (PI.f64) 1/2) 4))))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4) (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (/.f64 1 (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (pow.f64 (*.f64 (PI.f64) 1/2) 4)) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (*.f64 64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 3)))))
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(fma.f64 (/.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))) (cbrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)) 2))) (/.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))) (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (fma.f64 (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)) (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)) (*.f64 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))
(fma.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)) (*.f64 -1 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2)) (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(fma.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)) (*.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 -1 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2)) (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(fma.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8 (pow.f64 (*.f64 (PI.f64) 1/2) 3))) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))))))
(fma.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (neg.f64 (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))))))
(fma.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8 (pow.f64 (*.f64 (PI.f64) 1/2) 3))) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8 (pow.f64 (*.f64 (PI.f64) 1/2) 3))) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8 (pow.f64 (*.f64 (PI.f64) 1/2) 3))) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8 (pow.f64 (*.f64 (PI.f64) 1/2) 3))) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8 (pow.f64 (*.f64 (PI.f64) 1/2) 3))) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) 1)
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 1)
(*.f64 1 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))
(log.f64 (exp.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(exp.f64 (*.f64 2 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(exp.f64 (*.f64 (*.f64 2 (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))) 2)))

simplify468.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
1080×cancel-sign-sub-inv
922×fma-neg
592×fma-udef
568×associate-*r*
528×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
067931245
1151130253
2476229203
Stop Event
1×node limit
Counts
463 → 529
Calls
Call 1
Inputs
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))
(asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))
(asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))
(asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64))))
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4) 1))
(+.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))
(+.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) 4 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))
(+.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))
(+.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4) 1 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))
(+.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2)) (cbrt.f64 (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))
(+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(*.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) 1)
(*.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))))))
(*.f64 1 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))) 2) (cbrt.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(*.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))) (hypot.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (*.f64 64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 3))) (/.f64 1 (fma.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (pow.f64 (*.f64 (PI.f64) 1/2) 4))))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4) (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (/.f64 1 (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (pow.f64 (*.f64 (PI.f64) 1/2) 4)) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (*.f64 64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 3)))))
(/.f64 1 (/.f64 (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4) (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (*.f64 64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 3))) (fma.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (pow.f64 (*.f64 (PI.f64) 1/2) 4)))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4) (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4) (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)))) (neg.f64 (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
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(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) 2))
(log.f64 (exp.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))) 1))
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(fma.f64 (PI.f64) (*.f64 1/2 (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))
(fma.f64 (PI.f64) (*.f64 1/2 (*.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4) 1))
(fma.f64 1/2 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))
(fma.f64 1/2 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4) 1))
(fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))
(fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4) 1))
(fma.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) 1 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))
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(fma.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8 (pow.f64 (*.f64 (PI.f64) 1/2) 3))) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))))))
(fma.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (neg.f64 (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))))))
(fma.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8 (pow.f64 (*.f64 (PI.f64) 1/2) 3))) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8 (pow.f64 (*.f64 (PI.f64) 1/2) 3))) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8 (pow.f64 (*.f64 (PI.f64) 1/2) 3))) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8 (pow.f64 (*.f64 (PI.f64) 1/2) 3))) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8 (pow.f64 (*.f64 (PI.f64) 1/2) 3))) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) 1)
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 1)
(*.f64 1 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))
(log.f64 (exp.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(exp.f64 (*.f64 2 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(exp.f64 (*.f64 (*.f64 2 (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))) 2)))
Outputs
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64))))
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(pow.f64 (pow.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) 3) 1/3)
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(pow.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))) 2)
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) 2))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))))))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
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(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(exp.f64 (log.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))) 1))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
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(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 (PI.f64) (*.f64 1/2 (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 (PI.f64) (*.f64 1/2 (*.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4) 1))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 1/2 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 1/2 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4) 1))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4) 1))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
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(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) 1 (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4) 1))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 4 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) 1 (fma.f64 (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) 1 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) 4 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
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(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) 1 (fma.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4) 1 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) 1 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2)) (cbrt.f64 (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))
(+.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) 2)) (cbrt.f64 (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4))) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(+.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) 2)) (cbrt.f64 (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4))) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(+.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)) (-.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) 2) (cbrt.f64 (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4))))))
(fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.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))))) (fma.f64 (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))
(fma.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2)) (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(fma.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2)) (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) 0)
(fma.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))))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) 4 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))
(fma.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2)) (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(fma.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2)) (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) 0)
(fma.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))))) (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))
(fma.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2)) (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
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(fma.f64 (/.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3) 8 (*.f64 (pow.f64 (PI.f64) 3) 1/8))) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (neg.f64 (*.f64 (PI.f64) 1/2))) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(fma.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3) 8 (*.f64 (pow.f64 (PI.f64) 3) 1/8))) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) -1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 0))
(fma.f64 (/.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3) 8 (*.f64 (pow.f64 (PI.f64) 3) 1/8))) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) -1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) 0)
(fma.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))
(fma.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))
(fma.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))
(fma.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))
(fma.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) 1)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 1)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)
(*.f64 1 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)))
(*.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4)) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)
(*.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))
(*.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4)) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 2))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)
(*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)
(*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)
(log.f64 (exp.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)
(cbrt.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 3))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)
(exp.f64 (*.f64 2 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)
(log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)

localize104.0ms (0.5%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
98.5%
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
✓90.5%
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 2)))
✓90.5%
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
✓90.3%
(log.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
Compiler

Compiled 183 to 158 computations (13.7% saved)

series347.0ms (1.6%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
110.0ms
x
@0
(log.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
104.0ms
x
@-inf
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 2)))
68.0ms
x
@-inf
(log.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
25.0ms
x
@0
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 2)))
21.0ms
x
@inf
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 2)))

rewrite131.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1212×fma-def
760×expm1-udef
756×log1p-udef
518×fma-neg
454×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022153
1459117
25586117
Stop Event
1×node limit
Counts
3 → 212
Calls
Call 1
Inputs
(log.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 2)))
Outputs
(+.f64 0 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1/6)) (log.f64 (pow.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1/6)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) 1)
(-.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (PI.f64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1)
(*.f64 1 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(*.f64 (cbrt.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (pow.f64 (cbrt.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 2) (cbrt.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(*.f64 (sqrt.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (sqrt.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(pow.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1)
(pow.f64 (cbrt.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 3)
(pow.f64 (pow.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 2)
(sqrt.f64 (pow.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2))
(cbrt.f64 (pow.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(exp.f64 (log.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1/3)))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1))
(+.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1))
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(fma.f64 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 1 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(fma.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1))
(fma.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(fma.f64 1 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(fma.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(fma.f64 1 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (PI.f64) 1/2))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1))
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(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(fma.f64 (cbrt.f64 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) (pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) 2) (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) 2) (cbrt.f64 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(fma.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1))
(fma.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2) (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(fma.f64 (sqrt.f64 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) (sqrt.f64 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(fma.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1))
(fma.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
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(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(fma.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(fma.f64 1 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(fma.f64 (cbrt.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (pow.f64 (cbrt.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 2) (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 2) (cbrt.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(fma.f64 (sqrt.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (sqrt.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(fma.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))

simplify210.0ms (1%)

Algorithm
1×egg-herbie
Rules
1038×unswap-sqr
594×log-prod
570×cancel-sign-sub-inv
512×fma-neg
446×distribute-lft-out
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042812838
1100811896
2298411542
Stop Event
1×node limit
Counts
248 → 257
Calls
Call 1
Inputs
(log.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))))) 1/3))
(log.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))))) 1/3))
(log.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))))) 1/3))
(log.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))))) 1/3))
(log.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 1/3))
(log.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 1/3))
(log.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 1/3))
(log.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 1/3))
(log.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) 1/3))
(log.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) 1/3))
(log.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) 1/3))
(log.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) 1/3))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) 2) 1/3))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) 2) 1/3))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) 2) 1/3))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) 2) 1/3))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 2) 1/3))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 2) 1/3))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 2) 1/3))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 2) 1/3))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) 2) 1/3))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) 2) 1/3))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) 2) 1/3))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) 2) 1/3))
(+.f64 0 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1/6)) (log.f64 (pow.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1/6)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) 1)
(-.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (PI.f64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1)
(*.f64 1 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(*.f64 (cbrt.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (pow.f64 (cbrt.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 2) (cbrt.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(*.f64 (sqrt.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (sqrt.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(pow.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1)
(pow.f64 (cbrt.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 3)
(pow.f64 (pow.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 2)
(sqrt.f64 (pow.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2))
(cbrt.f64 (pow.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(exp.f64 (log.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1/3)))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1))
(+.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(+.f64 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (PI.f64) 1/2))
(+.f64 0 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(*.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1)
(*.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(*.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(*.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8)) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(*.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
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(fma.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8)) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(fma.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1))
(fma.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(fma.f64 (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (*.f64 (PI.f64) 1/2))
(fma.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 (PI.f64) 1/2))
(fma.f64 -1 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))) (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(+.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(+.f64 0 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(+.f64 (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 4)))) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))) 1)
(*.f64 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 1)
(*.f64 1 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(*.f64 (cbrt.f64 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) (pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) 2) (cbrt.f64 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(*.f64 (sqrt.f64 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) (sqrt.f64 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(pow.f64 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 1)
(pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) 3)
(pow.f64 (pow.f64 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) 2)
(sqrt.f64 (pow.f64 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 2))
(cbrt.f64 (pow.f64 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(exp.f64 (log.f64 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(fma.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(fma.f64 1 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(fma.f64 (cbrt.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (pow.f64 (cbrt.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 2) (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 2) (cbrt.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(fma.f64 (sqrt.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (sqrt.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(fma.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
Outputs
(log.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))))) 1/3))
(*.f64 1/3 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)))
(log.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))))) 1/3))
(*.f64 1/3 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)))
(log.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))))) 1/3))
(*.f64 1/3 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)))
(log.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))))) 1/3))
(*.f64 1/3 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)))
(log.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 1/3))
(*.f64 1/3 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)))
(log.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 1/3))
(*.f64 1/3 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)))
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(fma.f64 (+.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) (-.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) (-.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 0))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) (-.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) 0)
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) (-.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) (-.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4)) (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) (-.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) (-.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 0))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) (-.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) 0)
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) (-.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) (-.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 0))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) (-.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) 0)
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))) (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4)) (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) (*.f64 1/2 (PI.f64)))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4))))
(fma.f64 (*.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (PI.f64) 1/2))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (PI.f64) 1/2))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))
(+.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))) 2)))
(*.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) 2/3)
(+.f64 0 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))) 2)))
(*.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) 2/3)
(+.f64 (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 4)))) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) 2)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))))))) (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))) 4)))))
(fma.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)))))) (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))) 4)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))) 1)
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))) 2)))
(*.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) 2/3)
(*.f64 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 1)
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))) 2)))
(*.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) 2/3)
(*.f64 1 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))) 2)))
(*.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) 2/3)
(*.f64 (cbrt.f64 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) (pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) 2))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))) 2)))
(*.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) 2/3)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) 2) (cbrt.f64 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))) 2)))
(*.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) 2/3)
(*.f64 (sqrt.f64 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) (sqrt.f64 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))) 2)))
(*.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) 2/3)
(*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))) 2)))
(*.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) 2/3)
(pow.f64 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 1)
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))) 2)))
(*.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) 2/3)
(pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) 3)
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))) 2)))
(*.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) 2/3)
(pow.f64 (pow.f64 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 3) 1/3)
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))) 2)))
(*.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) 2/3)
(pow.f64 (sqrt.f64 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) 2)
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))) 2)))
(*.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) 2/3)
(sqrt.f64 (pow.f64 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 2))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))) 2)))
(*.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) 2/3)
(cbrt.f64 (pow.f64 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 3))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))) 2)))
(*.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) 2/3)
(expm1.f64 (log1p.f64 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))) 2)))
(*.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) 2/3)
(exp.f64 (log.f64 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))) 2)))
(*.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) 2/3)
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) 1))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))) 2)))
(*.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) 2/3)
(log1p.f64 (expm1.f64 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))) 2)))
(*.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) 2/3)
(fma.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))) 2)))
(*.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) 2/3)
(fma.f64 1 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))) 2)))
(*.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) 2/3)
(fma.f64 (cbrt.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (pow.f64 (cbrt.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 2) (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))) 2)))
(*.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) 2/3)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 2) (cbrt.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))) 2)))
(*.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) 2/3)
(fma.f64 (sqrt.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (sqrt.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))) 2)))
(*.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) 2/3)
(fma.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))) 2)))
(*.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) 2/3)

eval2.6s (11.8%)

Compiler

Compiled 71232 to 62103 computations (12.8% saved)

prune601.0ms (2.7%)

Pruning

52 alts after pruning (46 fresh and 6 done)

PrunedKeptTotal
New1780271807
Fresh61925
Picked101
Done268
Total1789521841
Accurracy
10.3%
Counts
1841 → 52
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.8%
(fma.f64 (/.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2)))) (/.f64 1/4 (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2)))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2))))
6.8%
(fma.f64 (/.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2)) 2))) (/.f64 1/4 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2)))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2))))
6.8%
(fma.f64 (/.f64 (pow.f64 (PI.f64) 2) 1) (/.f64 1/4 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))) (neg.f64 (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))))))
6.8%
(fma.f64 (/.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2)))) (/.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2)))) (*.f64 -4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2)))))
6.7%
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4)) (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2)))) (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2)))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2))))
6.7%
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))) (cbrt.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))))) (cbrt.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))) (neg.f64 (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))))))
6.5%
(fma.f64 (*.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
6.8%
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
4.2%
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 1/2)))) (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2))
6.5%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2)) (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
6.8%
(fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2)))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
✓6.8%
(fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
6.7%
(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 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2)))))) (*.f64 (PI.f64) 1/2))
6.7%
(fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2))) (*.f64 (PI.f64) 1/2))
6.8%
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4))) (sqrt.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))
6.8%
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4)) (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2))))
6.8%
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3)
6.8%
(/.f64 (fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (*.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
6.8%
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4) (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
6.8%
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1))))
✓6.8%
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
6.8%
(-.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))) (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))))
✓5.4%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1)))
✓8.2%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
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)))))))
✓6.8%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓4.2%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
▶6.7%
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.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)))))))
6.6%
(+.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) 3) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))
8.2%
(+.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2))) (/.f64 (*.f64 (/.f64 1/4 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2)))) (pow.f64 (PI.f64) 2)) (cbrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2)) 2))))
6.7%
(+.f64 (+.f64 (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 4)))) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) 2))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))
6.6%
(+.f64 (*.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) 2/3) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))
1.4%
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 2))) (pow.f64 (pow.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3) 1/3))
8.2%
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 2))) (*.f64 3 (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))))))))
6.8%
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 2))) (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
8.2%
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 2))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))))
6.8%
(*.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 2)))
6.5%
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))
6.7%
(neg.f64 (log.f64 (exp.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 (PI.f64) 1/2)))))
6.8%
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4)) (+.f64 1 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
6.8%
(log.f64 (/.f64 (exp.f64 (*.f64 (PI.f64) 1/2)) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
6.8%
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
8.2%
(log.f64 (exp.f64 (fma.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
▶6.6%
(log.f64 (exp.f64 (fma.f64 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2)) -2 (*.f64 (PI.f64) 1/2))))
▶6.8%
(log.f64 (exp.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 -1/2 (PI.f64))))))
6.7%
(log.f64 (exp.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
6.8%
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1) 3)) (fma.f64 (+.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1) (+.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2) 1))))
6.8%
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1) 3)) (+.f64 1 (*.f64 (+.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1) (+.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2))))))
6.8%
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
▶8.2%
(expm1.f64 (log1p.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
1.4%
(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 3234 to 2914 computations (9.9% saved)

localize51.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
100.0%
(sqrt.f64 (fma.f64 x -1/2 1/2))
100.0%
(acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
99.9%
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
✓90.5%
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
Compiler

Compiled 97 to 79 computations (18.6% saved)

series1.0ms (0%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
0.0ms
x
@0
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
0.0ms
x
@inf
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))

rewrite128.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1580×log-prod
1290×fma-def
634×expm1-udef
630×log1p-udef
490×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01747
136233
2460733
Stop Event
1×node limit
Counts
1 → 57
Calls
Call 1
Inputs
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))) 1)
(-.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 1)
(*.f64 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(*.f64 (cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) (pow.f64 (cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 2) (cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(*.f64 (sqrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) (sqrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(*.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8 (pow.f64 (*.f64 1/2 (PI.f64)) 3)) (/.f64 1 (fma.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (-.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(*.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) (/.f64 1 (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (-.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64))) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8 (pow.f64 (*.f64 1/2 (PI.f64)) 3))))
(/.f64 1 (/.f64 (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8 (pow.f64 (*.f64 1/2 (PI.f64)) 3)) (fma.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (-.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8 (pow.f64 (*.f64 1/2 (PI.f64)) 3)) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 1/2 (*.f64 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8 (pow.f64 (*.f64 1/2 (PI.f64)) 3))) (neg.f64 (fma.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (-.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))) (neg.f64 (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64))))
(pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 3)
(pow.f64 (pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 2))
(log.f64 (exp.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (+.f64 1 (expm1.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64)))) (pow.f64 (exp.f64 -2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64)))) (+.f64 1 (expm1.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 -2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (pow.f64 (exp.f64 1/2) (PI.f64))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64))))))
(cbrt.f64 (pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(exp.f64 (log.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 1/2 (PI.f64)) 1 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1 (*.f64 1/2 (PI.f64)))
(fma.f64 1 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (*.f64 1/2 (PI.f64)))
(fma.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2) (cbrt.f64 (*.f64 1/2 (PI.f64))) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (cbrt.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) (*.f64 1/2 (PI.f64)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) (cbrt.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 1/2 (PI.f64)))
(fma.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (*.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 (fma.f64 x -1/2 1/2)))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (sqrt.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 1/2 (PI.f64)))
(fma.f64 (*.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))

simplify76.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
1288×times-frac
582×cancel-sign-sub-inv
540×fma-neg
526×distribute-lft-neg-in
508×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01522809
13702735
29822735
334992735
Stop Event
1×node limit
Counts
57 → 66
Calls
Call 1
Inputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))) 1)
(-.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 1)
(*.f64 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(*.f64 (cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) (pow.f64 (cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 2) (cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(*.f64 (sqrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) (sqrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(*.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8 (pow.f64 (*.f64 1/2 (PI.f64)) 3)) (/.f64 1 (fma.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (-.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(*.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) (/.f64 1 (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (-.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64))) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8 (pow.f64 (*.f64 1/2 (PI.f64)) 3))))
(/.f64 1 (/.f64 (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8 (pow.f64 (*.f64 1/2 (PI.f64)) 3)) (fma.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (-.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8 (pow.f64 (*.f64 1/2 (PI.f64)) 3)) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 1/2 (*.f64 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8 (pow.f64 (*.f64 1/2 (PI.f64)) 3))) (neg.f64 (fma.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (-.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))) (neg.f64 (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64))))
(pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 3)
(pow.f64 (pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 2))
(log.f64 (exp.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (+.f64 1 (expm1.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64)))) (pow.f64 (exp.f64 -2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64)))) (+.f64 1 (expm1.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 -2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (pow.f64 (exp.f64 1/2) (PI.f64))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64))))))
(cbrt.f64 (pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(exp.f64 (log.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 1/2 (PI.f64)) 1 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1 (*.f64 1/2 (PI.f64)))
(fma.f64 1 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (*.f64 1/2 (PI.f64)))
(fma.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2) (cbrt.f64 (*.f64 1/2 (PI.f64))) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (cbrt.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) (*.f64 1/2 (PI.f64)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) (cbrt.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 1/2 (PI.f64)))
(fma.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (*.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 (fma.f64 x -1/2 1/2)))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (sqrt.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 1/2 (PI.f64)))
(fma.f64 (*.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))) 1)
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(-.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(/.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4)) (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2 (*.f64 1/2 (PI.f64))))
(*.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 1)
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(*.f64 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(*.f64 (cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) (pow.f64 (cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 2))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 2) (cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(*.f64 (sqrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) (sqrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(*.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8 (pow.f64 (*.f64 1/2 (PI.f64)) 3)) (/.f64 1 (fma.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (-.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(*.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8 (*.f64 1/8 (pow.f64 (PI.f64) 3))) (/.f64 1 (fma.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (*.f64 1/2 (PI.f64)))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8 (*.f64 1/8 (pow.f64 (PI.f64) 3))) (fma.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 -1/2 (PI.f64))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8 (*.f64 1/8 (pow.f64 (PI.f64) 3))) (fma.f64 -2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 -1/2 (PI.f64)))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
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(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (pow.f64 (exp.f64 1/2) (PI.f64))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(cbrt.f64 (pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(expm1.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(exp.f64 (log.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 1))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(log1p.f64 (expm1.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (*.f64 1/2 (PI.f64)) 1 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1 (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2) (cbrt.f64 (*.f64 1/2 (PI.f64))) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (cbrt.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (cbrt.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) (cbrt.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 1/2 (PI.f64)))
(fma.f64 (cbrt.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (cbrt.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))))
(fma.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.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 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (sqrt.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (*.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))

localize40.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(/.f64 2 (-.f64 1 x))
✓98.5%
(/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))
✓98.5%
(asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
✓90.5%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
Compiler

Compiled 65 to 55 computations (15.4% saved)

series4.0ms (0%)

Counts
4 → 40
Calls

12 calls:

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

rewrite104.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1606×log-prod
780×fma-def
612×expm1-udef
610×log1p-udef
384×log-div
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016110
135388
2464488
Stop Event
1×node limit
Counts
4 → 201
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
(/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))
(/.f64 2 (-.f64 1 x))
Outputs
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2) 1))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))
(+.f64 0 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2) (*.f64 (PI.f64) 1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)))) (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2))))))
(*.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)))
(*.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)) 1)
(*.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2))) (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2))))
(*.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2))))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 3) 8)) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (*.f64 (PI.f64) 1/2)) (pow.f64 (*.f64 (PI.f64) 1/2) 2))))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2) 4)) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 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 2))))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (*.f64 (PI.f64) 1/2)) (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 3) 8))))
(/.f64 1 (/.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (*.f64 (PI.f64) 1/2)) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2) 4))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 3) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (*.f64 (PI.f64) 1/2)) (pow.f64 (*.f64 (PI.f64) 1/2) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 3) 8))) (neg.f64 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (*.f64 (PI.f64) 1/2)) (pow.f64 (*.f64 (PI.f64) 1/2) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2) 4))) (neg.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 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 2)))) -2) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2)) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))) (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2)))
(pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2))) 3)
(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)) 2))
(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2))))
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(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))) (fma.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2) 4))) (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 -2 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) (*.f64 (PI.f64) 1/2))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(+.f64 0 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))) (cbrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))) (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))) (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))) 1)
(*.f64 1 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))
(*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 1)
(*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (fma.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 1)
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) 3)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) 2)
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 3))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) 1))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 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 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 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 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 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 2))))))
(fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(fma.f64 (neg.f64 (PI.f64)) -1/2 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(+.f64 0 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) 1)
(*.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))
(*.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (cbrt.f64 (-.f64 1/2 (/.f64 x 2))))
(*.f64 (cbrt.f64 (-.f64 1/2 (/.f64 x 2))) (cbrt.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (sqrt.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x)))) -1))
(*.f64 (pow.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 1/4) -1) (pow.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 1/4) -1))
(*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (/.f64 2 (-.f64 1 x)) -1/2)
(pow.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) -1)
(pow.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2)
(sqrt.f64 (-.f64 1/2 (/.f64 x 2)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x)))) -1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))
(+.f64 0 (/.f64 2 (-.f64 1 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x)))) (cbrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (-.f64 1 x)))) 1)
(*.f64 2 (/.f64 1 (-.f64 1 x)))
(*.f64 1 (/.f64 2 (-.f64 1 x)))
(*.f64 (/.f64 2 (-.f64 1 x)) 1)
(*.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (sqrt.f64 (/.f64 2 (-.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) (cbrt.f64 (/.f64 4 (pow.f64 (-.f64 1 x) 2))))
(*.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 (-.f64 1 x) 2))) (cbrt.f64 (/.f64 2 (-.f64 1 x))))
(*.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 1/4) (*.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 1/4) (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
(*.f64 -2 (/.f64 1 (neg.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 1 x)) 2)
(*.f64 (*.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (pow.f64 (/.f64 2 (-.f64 1 x)) 1/4)) (pow.f64 (/.f64 2 (-.f64 1 x)) 1/4))
(*.f64 (*.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (cbrt.f64 (/.f64 2 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 1 x) 1))
(*.f64 (/.f64 2 (-.f64 1 (*.f64 x x))) (+.f64 1 x))
(pow.f64 (/.f64 2 (-.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) 3)
(pow.f64 (/.f64 4 (pow.f64 (-.f64 1 x) 2)) 1/2)
(pow.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 3) 1/3)
(pow.f64 (-.f64 1/2 (/.f64 x 2)) -1)
(sqrt.f64 (/.f64 4 (pow.f64 (-.f64 1 x) 2)))
(log.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 2 (-.f64 1 x))))
(exp.f64 (log.f64 (/.f64 2 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (-.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 2 (-.f64 1 x))))

simplify133.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1172×unswap-sqr
654×associate-+r+
506×log-prod
502×cancel-sign-sub-inv
494×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045911431
1104410843
2323910049
Stop Event
1×node limit
Counts
241 → 300
Calls
Call 1
Inputs
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))
(/.f64 1 (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 x (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 -1/8 (/.f64 (pow.f64 x 2) (sqrt.f64 2)))))
(+.f64 (*.f64 -1/16 (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (+.f64 (*.f64 -1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 -1/8 (/.f64 (pow.f64 x 2) (sqrt.f64 2))))))
2
(+.f64 (*.f64 2 x) 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 2))
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 2)))
(/.f64 -2 x)
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -2 x)
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2) 1))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))
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(exp.f64 (*.f64 (log.f64 (/.f64 2 (-.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 2 (-.f64 1 x))))
Outputs
(-.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 (-.f64 1 x))) (sqrt.f64 2)))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))) -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 (-.f64 1 x))) (sqrt.f64 2)))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))) -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 (-.f64 1 x))) (sqrt.f64 2)))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))) -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 (-.f64 1 x))) (sqrt.f64 2)))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))) -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 (-.f64 1 x))) (sqrt.f64 2)))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))) -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 (-.f64 1 x))) (sqrt.f64 2)))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))) -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 (-.f64 1 x))) (sqrt.f64 2)))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))) -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 (-.f64 1 x))) (sqrt.f64 2)))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 2)))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 2)))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 2)))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 2)))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))) -2))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 2)))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 2)))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 2)))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 2)))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 2)))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 2)))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 2)))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 2)))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))
(asin.f64 (/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 2)))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))
(asin.f64 (/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 2)))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))
(asin.f64 (/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 2)))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))
(asin.f64 (/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 2)))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))
(/.f64 1 (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 x (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))
(fma.f64 -1/2 (/.f64 x (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 -1/8 (/.f64 (pow.f64 x 2) (sqrt.f64 2)))))
(+.f64 (fma.f64 -1/2 (/.f64 x (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (/.f64 (*.f64 -1/8 (*.f64 x x)) (sqrt.f64 2)))
(fma.f64 -1/2 (/.f64 x (sqrt.f64 2)) (fma.f64 -1/8 (/.f64 x (/.f64 (sqrt.f64 2) x)) (/.f64 1 (sqrt.f64 2))))
(fma.f64 -1/2 (/.f64 x (sqrt.f64 2)) (fma.f64 -1/8 (/.f64 (*.f64 x x) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))
(+.f64 (*.f64 -1/16 (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (+.f64 (*.f64 -1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 -1/8 (/.f64 (pow.f64 x 2) (sqrt.f64 2))))))
(fma.f64 -1/16 (/.f64 (pow.f64 x 3) (sqrt.f64 2)) (+.f64 (fma.f64 -1/2 (/.f64 x (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (/.f64 (*.f64 -1/8 (*.f64 x x)) (sqrt.f64 2))))
(fma.f64 -1/16 (/.f64 (pow.f64 x 3) (sqrt.f64 2)) (fma.f64 -1/2 (/.f64 x (sqrt.f64 2)) (fma.f64 -1/8 (/.f64 x (/.f64 (sqrt.f64 2) x)) (/.f64 1 (sqrt.f64 2)))))
(fma.f64 -1/16 (/.f64 (pow.f64 x 3) (sqrt.f64 2)) (fma.f64 -1/2 (/.f64 x (sqrt.f64 2)) (fma.f64 -1/8 (/.f64 (*.f64 x x) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
2
(+.f64 (*.f64 2 x) 2)
(fma.f64 2 x 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 2))
(fma.f64 2 (*.f64 x x) (fma.f64 2 x 2))
(+.f64 2 (*.f64 x (fma.f64 2 x 2)))
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 2)))
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (*.f64 x x) (fma.f64 2 x 2)))
(fma.f64 2 (pow.f64 x 3) (+.f64 2 (*.f64 x (fma.f64 2 x 2))))
(/.f64 -2 x)
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 x)))
(+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 x))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(-.f64 (/.f64 -2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 x)) (/.f64 -2 (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 x)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(-.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 3))) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 4))))
(/.f64 -2 x)
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 x)))
(+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 x))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(-.f64 (/.f64 -2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 x)) (/.f64 -2 (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 x)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(-.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 3))) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 4))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2) 1))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))
(+.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))) (cbrt.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))) (cbrt.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2)))))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(+.f64 0 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2) (*.f64 (PI.f64) 1/2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)))) (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))) (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))))))
(*.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(*.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)) 1)
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(*.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2))) (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2))) 2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
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(sqrt.f64 (-.f64 1/2 (/.f64 x 2)))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))
(sqrt.f64 (-.f64 1/2 (/.f64 x 2)))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))
(sqrt.f64 (-.f64 1/2 (/.f64 x 2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x)))) -1))
(/.f64 -1 (neg.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
(/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 1))
(sqrt.f64 (-.f64 1/2 (/.f64 x 2)))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))
(sqrt.f64 (-.f64 1/2 (/.f64 x 2)))
(+.f64 0 (/.f64 2 (-.f64 1 x)))
(/.f64 2 (-.f64 1 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x)))) (cbrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))))
(*.f64 2 (log.f64 (fabs.f64 (exp.f64 (/.f64 1 (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (-.f64 1 x)))) 1)
(/.f64 2 (-.f64 1 x))
(*.f64 2 (/.f64 1 (-.f64 1 x)))
(/.f64 2 (-.f64 1 x))
(*.f64 1 (/.f64 2 (-.f64 1 x)))
(/.f64 2 (-.f64 1 x))
(*.f64 (/.f64 2 (-.f64 1 x)) 1)
(/.f64 2 (-.f64 1 x))
(*.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (sqrt.f64 (/.f64 2 (-.f64 1 x))))
(/.f64 2 (-.f64 1 x))
(*.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) (cbrt.f64 (/.f64 4 (pow.f64 (-.f64 1 x) 2))))
(*.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) (*.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x)))) (*.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (cbrt.f64 (/.f64 2 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 (-.f64 1 x) 2))) (cbrt.f64 (/.f64 2 (-.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) (cbrt.f64 (/.f64 4 (pow.f64 (-.f64 1 x) 2))))
(*.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 1/4) (*.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 1/4) (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
(/.f64 2 (-.f64 1 x))
(*.f64 -2 (/.f64 1 (neg.f64 (-.f64 1 x))))
(/.f64 2 (-.f64 1 x))
(*.f64 (/.f64 1 (-.f64 1 x)) 2)
(/.f64 2 (-.f64 1 x))
(*.f64 (*.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (pow.f64 (/.f64 2 (-.f64 1 x)) 1/4)) (pow.f64 (/.f64 2 (-.f64 1 x)) 1/4))
(/.f64 2 (-.f64 1 x))
(*.f64 (*.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (cbrt.f64 (/.f64 2 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) (*.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x)))) (*.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (cbrt.f64 (/.f64 2 (-.f64 1 x)))))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 1 x) 1))
(/.f64 (*.f64 2 (fma.f64 x (+.f64 1 x) 1)) (-.f64 1 (pow.f64 x 3)))
(*.f64 (/.f64 2 (-.f64 1 (*.f64 x x))) (+.f64 1 x))
(*.f64 (+.f64 1 x) (/.f64 2 (-.f64 1 (*.f64 x x))))
(/.f64 (fma.f64 2 x 2) (-.f64 1 (*.f64 x x)))
(pow.f64 (/.f64 2 (-.f64 1 x)) 1)
(/.f64 2 (-.f64 1 x))
(pow.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) 2)
(/.f64 2 (-.f64 1 x))
(pow.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) 3)
(/.f64 2 (-.f64 1 x))
(pow.f64 (/.f64 4 (pow.f64 (-.f64 1 x) 2)) 1/2)
(sqrt.f64 (/.f64 4 (pow.f64 (-.f64 1 x) 2)))
(pow.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 3) 1/3)
(/.f64 2 (-.f64 1 x))
(pow.f64 (-.f64 1/2 (/.f64 x 2)) -1)
(/.f64 1 (-.f64 1/2 (/.f64 x 2)))
(sqrt.f64 (/.f64 4 (pow.f64 (-.f64 1 x) 2)))
(log.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))
(/.f64 2 (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (-.f64 1 x)))))
(/.f64 2 (-.f64 1 x))
(cbrt.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 3))
(/.f64 2 (-.f64 1 x))
(expm1.f64 (log1p.f64 (/.f64 2 (-.f64 1 x))))
(/.f64 2 (-.f64 1 x))
(exp.f64 (log.f64 (/.f64 2 (-.f64 1 x))))
(/.f64 2 (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (-.f64 1 x))) 1))
(/.f64 2 (-.f64 1 x))
(log1p.f64 (expm1.f64 (/.f64 2 (-.f64 1 x))))
(/.f64 2 (-.f64 1 x))

localize51.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓98.5%
(asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))
✓98.5%
(pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2)
✓90.6%
(log.f64 (exp.f64 (fma.f64 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2)) -2 (*.f64 (PI.f64) 1/2))))
✓90.5%
(fma.f64 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2)) -2 (*.f64 (PI.f64) 1/2))
Compiler

Compiled 83 to 71 computations (14.5% saved)

series4.0ms (0%)

Counts
4 → 36
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2)
1.0ms
x
@inf
(pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2)
1.0ms
x
@0
(pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2)
0.0ms
x
@inf
(fma.f64 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2)) -2 (*.f64 (PI.f64) 1/2))
0.0ms
x
@0
(fma.f64 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2)) -2 (*.f64 (PI.f64) 1/2))

rewrite135.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1442×log-prod
788×pow-prod-up
720×pow-exp
610×expm1-udef
602×log1p-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020104
139296
2412296
Stop Event
1×node limit
Counts
4 → 185
Calls
Call 1
Inputs
(fma.f64 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2)) -2 (*.f64 (PI.f64) 1/2))
(log.f64 (exp.f64 (fma.f64 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2)) -2 (*.f64 (PI.f64) 1/2))))
(pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2)
(asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))
Outputs
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 0)
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64)))
(+.f64 0 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(+.f64 (*.f64 2 (*.f64 1/3 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (*.f64 1/3 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(+.f64 (*.f64 1/2 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (*.f64 1/2 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(+.f64 (*.f64 1/3 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (*.f64 2 (*.f64 1/3 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(+.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1) (*.f64 1/2 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 1)
(*.f64 2 (*.f64 1/2 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(*.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1)
(*.f64 1 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(*.f64 (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2) (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(*.f64 (sqrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (sqrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(*.f64 3 (*.f64 1/3 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(*.f64 1/3 (*.f64 3 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(/.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 3) (pow.f64 (*.f64 1/2 (PI.f64)) 3)) (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 2) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64))))
(pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 2))
(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64)))) (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(log.f64 (*.f64 (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64))))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(exp.f64 (log.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 0)
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64)))
(+.f64 0 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(+.f64 (*.f64 2 (*.f64 1/3 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (*.f64 1/3 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(+.f64 (*.f64 1/2 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (*.f64 1/2 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(+.f64 (*.f64 1/3 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (*.f64 2 (*.f64 1/3 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(+.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1) (*.f64 1/2 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 1)
(*.f64 2 (*.f64 1/2 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(*.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1)
(*.f64 1 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(*.f64 (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2) (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(*.f64 (sqrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (sqrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(*.f64 3 (*.f64 1/3 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(*.f64 1/3 (*.f64 3 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(/.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 3) (pow.f64 (*.f64 1/2 (PI.f64)) 3)) (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 2) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64))))
(pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3)
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(+.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1)))
(+.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(+.f64 (fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1)))
(+.f64 (fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(+.f64 (fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1)))
(+.f64 (fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (cbrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1)
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1)
(*.f64 1 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (+.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (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))) 1)
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64)))) (exp.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 1/2 (PI.f64)) 1 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1 (*.f64 1/2 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2) (cbrt.f64 (*.f64 1/2 (PI.f64))) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (*.f64 1/2 (PI.f64))) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))

simplify146.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1298×associate-+r+
800×unswap-sqr
574×distribute-lft-out
522×exp-prod
510×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041910069
19779467
231207363
Stop Event
1×node limit
Counts
221 → 214
Calls
Call 1
Inputs
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) x)))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) x)) (*.f64 (+.f64 (*.f64 1/16 (sqrt.f64 1/2)) (*.f64 -3/16 (sqrt.f64 1/2))) (pow.f64 x 2))))
(+.f64 (*.f64 (+.f64 (*.f64 -7/64 (sqrt.f64 1/2)) (*.f64 3/64 (sqrt.f64 1/2))) (pow.f64 x 3)) (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) x)) (*.f64 (+.f64 (*.f64 1/16 (sqrt.f64 1/2)) (*.f64 -3/16 (sqrt.f64 1/2))) (pow.f64 x 2)))))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2)
(+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2) (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2) x)))
(+.f64 (*.f64 -3/16 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2) (pow.f64 x 2))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2) x)) (*.f64 1/16 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2) (pow.f64 x 2))))))
(+.f64 (*.f64 -7/64 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2) (pow.f64 x 3))) (+.f64 (*.f64 3/64 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2) (pow.f64 x 3))) (+.f64 (*.f64 -3/16 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2) (pow.f64 x 2))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2) x)) (*.f64 1/16 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2) (pow.f64 x 2))))))))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)))) 2)
(+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)))) 2) (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)))) 2) x)))
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(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64)))) (exp.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 1/2 (PI.f64)) 1 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1 (*.f64 1/2 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2) (cbrt.f64 (*.f64 1/2 (PI.f64))) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (*.f64 1/2 (PI.f64))) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
Outputs
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/2)) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/2)) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/2)) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/2)) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/2)) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/2)) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/2)) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/2)) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/2)) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/2)) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/2)) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/2)) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/2)) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/2)) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/2)) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/2)) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/2)) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/2)) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/2)) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/2)) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/2)) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/2)) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/2)) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/2)) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) x)))
(+.f64 (sqrt.f64 1/2) (*.f64 -1/2 (*.f64 x (sqrt.f64 1/2))))
(fma.f64 -1/2 (*.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))
(*.f64 (+.f64 (*.f64 x -1/2) 1) (sqrt.f64 1/2))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) x)) (*.f64 (+.f64 (*.f64 1/16 (sqrt.f64 1/2)) (*.f64 -3/16 (sqrt.f64 1/2))) (pow.f64 x 2))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 x (sqrt.f64 1/2)) (*.f64 (*.f64 (sqrt.f64 1/2) -1/8) (*.f64 x x))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 x (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 -1/8 (*.f64 x x)))))
(+.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 x -1/2) (*.f64 -1/8 (*.f64 x x)))))
(+.f64 (*.f64 (+.f64 (*.f64 -7/64 (sqrt.f64 1/2)) (*.f64 3/64 (sqrt.f64 1/2))) (pow.f64 x 3)) (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) x)) (*.f64 (+.f64 (*.f64 1/16 (sqrt.f64 1/2)) (*.f64 -3/16 (sqrt.f64 1/2))) (pow.f64 x 2)))))
(fma.f64 (*.f64 (sqrt.f64 1/2) -1/16) (pow.f64 x 3) (+.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 x (sqrt.f64 1/2)) (*.f64 (*.f64 (sqrt.f64 1/2) -1/8) (*.f64 x x)))))
(+.f64 (fma.f64 -1/2 (*.f64 x (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 -1/8 (*.f64 x x)))) (fma.f64 (*.f64 (sqrt.f64 1/2) -1/16) (pow.f64 x 3) (sqrt.f64 1/2)))
(+.f64 (*.f64 (+.f64 (*.f64 x -1/2) 1) (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 -1/16 (pow.f64 x 3)))))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/2) (log.f64 x))) 2)
(pow.f64 (*.f64 (pow.f64 -1/2 1/4) (pow.f64 x 1/4)) 2)
(+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2) (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2) x)))
(+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x))))) 2) (*.f64 -1/2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x))))) 2) x)))
(fma.f64 -1/2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/2) (log.f64 x))) 2) x) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/2) (log.f64 x))) 2))
(fma.f64 -1/2 (/.f64 (pow.f64 (*.f64 (pow.f64 -1/2 1/4) (pow.f64 x 1/4)) 2) x) (pow.f64 (*.f64 (pow.f64 -1/2 1/4) (pow.f64 x 1/4)) 2))
(+.f64 (*.f64 -3/16 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2) (pow.f64 x 2))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2) x)) (*.f64 1/16 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2) (pow.f64 x 2))))))
(fma.f64 -3/16 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x))))) 2) (*.f64 x x)) (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x))))) 2) (fma.f64 -1/2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x))))) 2) x) (*.f64 1/16 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x))))) 2) (*.f64 x x))))))
(+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/2) (log.f64 x))) 2) x) (*.f64 1/16 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/2) (log.f64 x))) 2) (*.f64 x x)))) (fma.f64 -3/16 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/2) (log.f64 x))) 2) (*.f64 x x)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/2) (log.f64 x))) 2)))
(+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (*.f64 (pow.f64 -1/2 1/4) (pow.f64 x 1/4)) 2) x) (pow.f64 (*.f64 (pow.f64 -1/2 1/4) (pow.f64 x 1/4)) 2)) (*.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 -1/2 1/4) (pow.f64 x 1/4)) 2) (*.f64 x x)) -1/8))
(+.f64 (*.f64 -7/64 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2) (pow.f64 x 3))) (+.f64 (*.f64 3/64 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2) (pow.f64 x 3))) (+.f64 (*.f64 -3/16 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2) (pow.f64 x 2))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2) x)) (*.f64 1/16 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2) (pow.f64 x 2))))))))
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(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1)
(+.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 1 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(+.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))
(+.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(/.f64 (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (+.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.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 1/4 (pow.f64 (PI.f64) 2) (+.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 1/2 (*.f64 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (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))) 1)
(+.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
(+.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 1/3)
(+.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)
(+.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(+.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64)))) (exp.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(+.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1))
(+.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1) 1))
(+.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(exp.f64 (*.f64 (log.f64 (cbrt.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))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(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))))) 1/3))
(+.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2))
(+.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(fma.f64 (*.f64 1/2 (PI.f64)) 1 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(fma.f64 1 (*.f64 1/2 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(fma.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2) (cbrt.f64 (*.f64 1/2 (PI.f64))) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(fma.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (*.f64 1/2 (PI.f64))) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))

localize205.0ms (0.9%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓99.9%
(/.f64 (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 -1/2 (PI.f64))))
✓98.5%
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
✓90.6%
(log.f64 (exp.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 -1/2 (PI.f64))))))
✓90.5%
(+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 -1/4 (pow.f64 (PI.f64) 2)))
Compiler

Compiled 179 to 153 computations (14.5% saved)

series6.0ms (0%)

Counts
4 → 36
Calls

12 calls:

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

rewrite152.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
898×expm1-udef
888×log1p-udef
538×add-sqr-sqrt
522×pow1
516×*-un-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027228
1556228
26751228
Stop Event
1×node limit
Counts
4 → 155
Calls
Call 1
Inputs
(+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 -1/4 (pow.f64 (PI.f64) 2)))
(log.f64 (exp.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 -1/2 (PI.f64))))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(/.f64 (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 -1/2 (PI.f64))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) 16) (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (/.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
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(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))))) 1)
(*.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (/.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))) 1)
(*.f64 1 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))) 2)) (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2)))) 2) (*.f64 (cbrt.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2)))) (/.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))))
(*.f64 (/.f64 (hypot.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (PI.f64) (sqrt.f64 -1/4))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))) (/.f64 (hypot.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (PI.f64) (sqrt.f64 -1/4))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))))
(*.f64 (hypot.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (PI.f64) (sqrt.f64 -1/4))) (*.f64 (hypot.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (PI.f64) (sqrt.f64 -1/4))) (/.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2)))) (/.f64 1 (neg.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))))
(*.f64 (/.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))) 2)) (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))) (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2)))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2)))) 2) (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))) 2)) (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2)))) 2) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2)))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))))
(*.f64 (/.f64 (hypot.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (PI.f64) (sqrt.f64 -1/4))) 1) (/.f64 (hypot.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (PI.f64) (sqrt.f64 -1/4))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))))
(*.f64 (/.f64 (hypot.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (PI.f64) (sqrt.f64 -1/4))) (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))) 2)) (/.f64 (hypot.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (PI.f64) (sqrt.f64 -1/4))) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -1/8 (pow.f64 (PI.f64) 3)) (*.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)))) (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 (*.f64 -1/2 (PI.f64)) (-.f64 (*.f64 -1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (neg.f64 (*.f64 -1/2 (PI.f64)))))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))) 3) 1/3)
(pow.f64 (/.f64 (hypot.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (PI.f64) (sqrt.f64 -1/4))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))) 2)
(pow.f64 (/.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2)))) -1)
(neg.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) 3) (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))))
(exp.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))))

simplify196.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
720×cancel-sign-sub-inv
712×div-sub
640×distribute-lft-neg-in
596×log-prod
474×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030415491
172715057
2348414693
Stop Event
1×node limit
Counts
191 → 169
Calls
Call 1
Inputs
(+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
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(/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
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(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 1/2)
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(fabs.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))))))
(+.f64 0 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))))) 1)
(*.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (/.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))) 1)
(*.f64 1 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))) 2)) (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2)))) 2) (*.f64 (cbrt.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2)))) (/.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))))
(*.f64 (/.f64 (hypot.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (PI.f64) (sqrt.f64 -1/4))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))) (/.f64 (hypot.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (PI.f64) (sqrt.f64 -1/4))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))))
(*.f64 (hypot.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (PI.f64) (sqrt.f64 -1/4))) (*.f64 (hypot.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (PI.f64) (sqrt.f64 -1/4))) (/.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2)))) (/.f64 1 (neg.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))))
(*.f64 (/.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))) 2)) (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))) (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2)))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2)))) 2) (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))) 2)) (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2)))) 2) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2)))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))))
(*.f64 (/.f64 (hypot.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (PI.f64) (sqrt.f64 -1/4))) 1) (/.f64 (hypot.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (PI.f64) (sqrt.f64 -1/4))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))))
(*.f64 (/.f64 (hypot.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (PI.f64) (sqrt.f64 -1/4))) (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))) 2)) (/.f64 (hypot.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (PI.f64) (sqrt.f64 -1/4))) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -1/8 (pow.f64 (PI.f64) 3)) (*.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)))) (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 (*.f64 -1/2 (PI.f64)) (-.f64 (*.f64 -1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (neg.f64 (*.f64 -1/2 (PI.f64)))))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))) 3) 1/3)
(pow.f64 (/.f64 (hypot.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (PI.f64) (sqrt.f64 -1/4))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))) 2)
(pow.f64 (/.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2)))) -1)
(neg.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) 3) (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))))
(exp.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))))
Outputs
(+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 -1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 -1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 -1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 -1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 -1/4 (pow.f64 (PI.f64) 2)))
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(*.f64 (/.f64 (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 -1/8 (pow.f64 (PI.f64) 3) (*.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/2 (*.f64 (PI.f64) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
(*.f64 (/.f64 (fma.f64 -1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (fma.f64 -1/8 (pow.f64 (PI.f64) 3) (*.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)))) (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (*.f64 (PI.f64) -1/2) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2)))))
(*.f64 (/.f64 (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (*.f64 -1/8 (pow.f64 (PI.f64) 3)))) (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (*.f64 (PI.f64) -1/2) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (neg.f64 (*.f64 -1/2 (PI.f64)))))
(/.f64 (*.f64 (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (neg.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(/.f64 (fma.f64 -1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (/.f64 (fma.f64 -1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))) 1)
(/.f64 (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2)))
(/.f64 (fma.f64 -1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2)))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))) 3)
(/.f64 (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2)))
(/.f64 (fma.f64 -1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2)))
(pow.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))) 3) 1/3)
(/.f64 (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2)))
(/.f64 (fma.f64 -1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2)))
(pow.f64 (/.f64 (hypot.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (PI.f64) (sqrt.f64 -1/4))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))) 2)
(pow.f64 (/.f64 (hypot.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (PI.f64) (sqrt.f64 -1/4))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2)))) 2)
(pow.f64 (/.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2)))) -1)
(/.f64 (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2)))
(/.f64 (fma.f64 -1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2)))
(neg.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))))
(/.f64 (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2)))
(/.f64 (fma.f64 -1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))) 2))
(/.f64 (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2)))
(/.f64 (fma.f64 -1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2)))
(log.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))))
(/.f64 (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2)))
(/.f64 (fma.f64 -1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))))))
(/.f64 (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2)))
(/.f64 (fma.f64 -1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2)))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))) 3))
(/.f64 (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2)))
(/.f64 (fma.f64 -1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) 3) (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))) 3)))
(/.f64 (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2)))
(/.f64 (fma.f64 -1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))))
(/.f64 (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2)))
(/.f64 (fma.f64 -1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2)))
(exp.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))))
(/.f64 (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2)))
(/.f64 (fma.f64 -1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))) 1))
(/.f64 (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2)))
(/.f64 (fma.f64 -1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))))
(/.f64 (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2)))
(/.f64 (fma.f64 -1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2)))

localize149.0ms (0.7%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
98.5%
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
✓98.4%
(cbrt.f64 (*.f64 (PI.f64) 1/2))
✓11.5%
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
✓8.5%
(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))))))
Compiler

Compiled 190 to 165 computations (13.2% saved)

series54.0ms (0.2%)

Counts
3 → 24
Calls

6 calls:

TimeVariablePointExpression
51.0ms
x
@0
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
1.0ms
x
@0
(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))))))
1.0ms
x
@inf
(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))))))
1.0ms
x
@-inf
(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))))))
0.0ms
x
@inf
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))

rewrite96.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
930×fma-def
748×expm1-udef
744×log1p-udef
488×add-sqr-sqrt
468×pow1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024177
1499101
2595793
Stop Event
1×node limit
Counts
3 → 91
Calls
Call 1
Inputs
(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 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(cbrt.f64 (*.f64 (PI.f64) 1/2))
Outputs
(+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 1)
(*.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (+.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1)
(*.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (cbrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2)) (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1)
(pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 3)
(pow.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 2)
(sqrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2))
(log.f64 (exp.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(log.f64 (/.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log.f64 (/.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(cbrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 3))
(expm1.f64 (log1p.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(exp.f64 (log.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))) 1)
(-.f64 (fma.f64 1/2 (PI.f64) 0) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 1)
(*.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(*.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) (pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 2) (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(*.f64 (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 3)
(pow.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 2))
(log.f64 (exp.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (pow.f64 (exp.f64 1/2) (PI.f64))))
(log.f64 (*.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (pow.f64 (exp.f64 1/2) (PI.f64))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64)))) (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64)))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(log.f64 (/.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log.f64 (/.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64)))) (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64)))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(cbrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(exp.f64 (log.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))))) 1)
(*.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 1)
(*.f64 1 (cbrt.f64 (*.f64 1/2 (PI.f64))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(*.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 1/6) (pow.f64 (*.f64 1/2 (PI.f64)) 1/6))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 4)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 1/2 (PI.f64))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) 1/3) (pow.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) 1/3))
(pow.f64 (*.f64 1/2 (PI.f64)) 1/3)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 1/6)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/2)
(pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))) 3)
(pow.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 1/6) 2)
(sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(fabs.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (PI.f64))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))))

simplify141.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1162×log-prod
652×unswap-sqr
580×fma-def
580×exp-prod
532×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02404517
15353923
215563025
358683011
Stop Event
1×node limit
Counts
115 → 127
Calls
Call 1
Inputs
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))))
(+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 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 (*.f64 (pow.f64 (sqrt.f64 2) 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 (*.f64 (pow.f64 (sqrt.f64 2) 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 (*.f64 (pow.f64 (sqrt.f64 2) 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 (*.f64 (pow.f64 (sqrt.f64 2) 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 (*.f64 (pow.f64 (sqrt.f64 2) 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 (*.f64 (pow.f64 (sqrt.f64 2) 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 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/2) (PI.f64)))) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/2) (PI.f64)))) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/2) (PI.f64)))) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/2) (PI.f64)))) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/2) (PI.f64)))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/2) (PI.f64)))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/2) (PI.f64)))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/2) (PI.f64)))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/2) (PI.f64)))) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/2) (PI.f64)))) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/2) (PI.f64)))) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.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 (fma.f64 x -1/2 1/2)))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 1)
(*.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (+.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1)
(*.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (cbrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2)) (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1)
(pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 3)
(pow.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 2)
(sqrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2))
(log.f64 (exp.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(log.f64 (/.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log.f64 (/.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(cbrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 3))
(expm1.f64 (log1p.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(exp.f64 (log.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))) 1)
(-.f64 (fma.f64 1/2 (PI.f64) 0) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 1)
(*.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(*.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) (pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 2) (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(*.f64 (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 3)
(pow.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 2))
(log.f64 (exp.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (pow.f64 (exp.f64 1/2) (PI.f64))))
(log.f64 (*.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (pow.f64 (exp.f64 1/2) (PI.f64))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64)))) (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64)))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(log.f64 (/.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log.f64 (/.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64)))) (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64)))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(cbrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(exp.f64 (log.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))))) 1)
(*.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 1)
(*.f64 1 (cbrt.f64 (*.f64 1/2 (PI.f64))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(*.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 1/6) (pow.f64 (*.f64 1/2 (PI.f64)) 1/6))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 4)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 1/2 (PI.f64))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) 1/3) (pow.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) 1/3))
(pow.f64 (*.f64 1/2 (PI.f64)) 1/3)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 1/6)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/2)
(pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))) 3)
(pow.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 1/6) 2)
(sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(fabs.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (PI.f64))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))))
Outputs
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))))
(fma.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (fabs.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) -2))
0
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))))
(fma.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
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(cbrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(expm1.f64 (log1p.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(exp.f64 (log.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.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 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 1))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(log1p.f64 (expm1.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))))) 1)
(cbrt.f64 (*.f64 1/2 (PI.f64)))
(*.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 1)
(cbrt.f64 (*.f64 1/2 (PI.f64)))
(*.f64 1 (cbrt.f64 (*.f64 1/2 (PI.f64))))
(cbrt.f64 (*.f64 1/2 (PI.f64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 2))) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 2))) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))))
(*.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 1/6) (pow.f64 (*.f64 1/2 (PI.f64)) 1/6))
(cbrt.f64 (*.f64 1/2 (PI.f64)))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 4)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)))))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 4)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))))))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 4)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 2)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 1/2 (PI.f64))))
(cbrt.f64 (*.f64 1/2 (PI.f64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) 1/3) (pow.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/2 (PI.f64)))) (cbrt.f64 (sqrt.f64 (*.f64 1/2 (PI.f64)))))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) 1/6) 4)
(pow.f64 (*.f64 1/2 (PI.f64)) 1/3)
(cbrt.f64 (*.f64 1/2 (PI.f64)))
(pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 1/6)
(pow.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) 1/6)
(pow.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 2) 1/6)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/2)
(sqrt.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 2)))
(pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 1)
(cbrt.f64 (*.f64 1/2 (PI.f64)))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))) 3)
(cbrt.f64 (*.f64 1/2 (PI.f64)))
(pow.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 1/6) 2)
(cbrt.f64 (*.f64 1/2 (PI.f64)))
(sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(sqrt.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 2)))
(fabs.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))))
(cbrt.f64 (*.f64 1/2 (PI.f64)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))))
(cbrt.f64 (*.f64 1/2 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))))))
(cbrt.f64 (*.f64 1/2 (PI.f64)))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))))
(cbrt.f64 (*.f64 1/2 (PI.f64)))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))))
(cbrt.f64 (*.f64 1/2 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (PI.f64))) 1/3))
(cbrt.f64 (*.f64 1/2 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))) 1))
(cbrt.f64 (*.f64 1/2 (PI.f64)))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))))
(cbrt.f64 (*.f64 1/2 (PI.f64)))

eval2.2s (9.7%)

Compiler

Compiled 49798 to 43278 computations (13.1% saved)

prune487.0ms (2.2%)

Pruning

58 alts after pruning (49 fresh and 9 done)

PrunedKeptTotal
New1326131339
Fresh53641
Picked011
Done2810
Total1333581391
Accurracy
10.4%
Counts
1391 → 58
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.8%
(fma.f64 (/.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2)))) (/.f64 1/4 (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2)))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2))))
6.8%
(fma.f64 (/.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2)) 2))) (/.f64 1/4 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2)))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2))))
6.8%
(fma.f64 (/.f64 (pow.f64 (PI.f64) 2) 1) (/.f64 1/4 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))) (neg.f64 (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))))))
6.8%
(fma.f64 (/.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2)))) (/.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2)))) (*.f64 -4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2)))))
6.7%
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4)) (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2)))) (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2)))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2))))
6.7%
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))) (cbrt.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))))) (cbrt.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))) (neg.f64 (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))))))
6.8%
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) (*.f64 (PI.f64) 1/2))
4.2%
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 1/2)))) (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2))
6.8%
(fma.f64 (*.f64 -2 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) (*.f64 (PI.f64) 1/2))
6.5%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2)) (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
6.8%
(fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2)))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
✓6.8%
(fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
6.7%
(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 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2)))))) (*.f64 (PI.f64) 1/2))
6.7%
(fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2))) (*.f64 (PI.f64) 1/2))
6.8%
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4))) (sqrt.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))
6.7%
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2) 4))) (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))) (*.f64 (PI.f64) 1/2))
6.8%
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4)) (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2))))
6.8%
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3)
6.8%
(/.f64 (fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (*.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
6.8%
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4) (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
6.8%
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1))))
✓6.8%
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
6.8%
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) 16) (*.f64 (pow.f64 (PI.f64) 4) 1/16)) (/.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))) (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
6.8%
(-.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))) (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))))
✓5.4%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1)))
✓8.2%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
6.8%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) -1/2))))
6.7%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
5.8%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (+.f64 (*.f64 2 x) 2))))))
4.1%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
✓6.8%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓4.2%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
6.6%
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (pow.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 1/6) 2) (neg.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)))))))
6.8%
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (pow.f64 (*.f64 1/2 (PI.f64)) 1/3) (neg.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)))))))
6.6%
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)))) (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%
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 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)))))))
6.6%
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
✓6.7%
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.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)))))))
6.6%
(+.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) 3) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))
8.2%
(+.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2))) (/.f64 (*.f64 (/.f64 1/4 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2)))) (pow.f64 (PI.f64) 2)) (cbrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2)) 2))))
6.7%
(+.f64 (+.f64 (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 4)))) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) 2))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))
6.6%
(+.f64 (*.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) 2/3) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))
1.4%
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 2))) (pow.f64 (pow.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3) 1/3))
8.2%
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 2))) (*.f64 3 (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))))))))
6.8%
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 2))) (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
8.2%
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 2))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))))
6.5%
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))
6.7%
(neg.f64 (log.f64 (exp.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 (PI.f64) 1/2)))))
6.8%
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4)) (+.f64 1 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
6.8%
(log.f64 (/.f64 (exp.f64 (*.f64 (PI.f64) 1/2)) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
6.8%
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
8.2%
(log.f64 (exp.f64 (fma.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
✓6.8%
(log.f64 (exp.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 -1/2 (PI.f64))))))
6.7%
(log.f64 (exp.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
6.6%
(log.f64 (exp.f64 (+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))))
6.8%
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
✓8.2%
(expm1.f64 (log1p.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
1.4%
(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 1930 to 1745 computations (9.6% saved)

regimes160.0ms (0.7%)

Counts
82 → 1
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) -1/2))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (+.f64 (*.f64 2 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 (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))))))))
(log.f64 (exp.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(neg.f64 (log.f64 (exp.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 (PI.f64) 1/2)))))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3)
(exp.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 3)
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 3) 1/3)
(log.f64 (/.f64 (exp.f64 (*.f64 (PI.f64) 1/2)) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
(log.f64 (exp.f64 (+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 1/2)))) (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2))
(log.f64 (exp.f64 (fma.f64 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2)) -2 (*.f64 (PI.f64) 1/2))))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(log.f64 (exp.f64 (fma.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) (*.f64 (PI.f64) 1/2))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3))))
(log.f64 (/.f64 (+.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) 1/2))) 3)) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
(fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(fma.f64 (*.f64 -2 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 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 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2) 4))) (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))) (*.f64 (PI.f64) 1/2))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
(fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2))) (*.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 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2)))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2)))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
(*.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 2)))
(+.f64 (*.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) 2/3) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1))))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4))) (sqrt.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))
(log.f64 (exp.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 -1/2 (PI.f64))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 2))) (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4)) (+.f64 1 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 2))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))
(+.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 2 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) 3) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2)) (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 2))) (pow.f64 (pow.f64 (*.f64 1/3 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3) 1/3))
(/.f64 (fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (*.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 4 (pow.f64 (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 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 2))) (*.f64 3 (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))))))))
(-.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))) (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4) (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(fma.f64 (/.f64 (pow.f64 (PI.f64) 2) 1) (/.f64 1/4 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))) (neg.f64 (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) 16) (*.f64 (pow.f64 (PI.f64) 4) 1/16)) (/.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))) (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.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 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (pow.f64 (*.f64 1/2 (PI.f64)) 1/3) (neg.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)))))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1) 3)) (+.f64 1 (*.f64 (+.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1) (+.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2))))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (pow.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 1/6) 2) (neg.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 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 2))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)) (cbrt.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1))) (cbrt.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)) -1)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1) 3)) (fma.f64 (+.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1) (+.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2) 1))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 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 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)))) (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 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)))) (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 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4)) (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2))))
(fma.f64 (/.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2)))) (/.f64 1/4 (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2)))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2))))
(fma.f64 (/.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2)))) (/.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2)))) (*.f64 -4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2)))))
(+.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2))) (/.f64 (*.f64 (/.f64 1/4 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2)))) (pow.f64 (PI.f64) 2)) (cbrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2)) 2))))
(fma.f64 (/.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2)) 2))) (/.f64 1/4 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2)))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2))))
(+.f64 (+.f64 (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 4)))) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) 2))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (*.f64 (cbrt.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)))) (fma.f64 (neg.f64 (*.f64 (cbrt.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) (*.f64 (*.f64 (cbrt.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))))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4)) (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2)))) (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2)))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (*.f64 (*.f64 (cbrt.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)))) (fma.f64 (neg.f64 (*.f64 (cbrt.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) (*.f64 (*.f64 (cbrt.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))))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))) (cbrt.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))))) (cbrt.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))) (neg.f64 (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))))))
Outputs
(expm1.f64 (log1p.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
Calls

7 calls:

35.0ms
x
9.0ms
(/.f64 (-.f64 1 x) 2)
8.0ms
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
8.0ms
(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
8.0ms
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
Results
AccuracySegmentsBranch
8.2%1x
8.2%1(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
8.2%1(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
8.2%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
8.2%1(sqrt.f64 (/.f64 (-.f64 1 x) 2))
8.2%1(/.f64 (-.f64 1 x) 2)
8.2%1(-.f64 1 x)
Compiler

Compiled 2654 to 2316 computations (12.7% saved)

regimes99.0ms (0.4%)

Counts
24 → 1
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) -1/2))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (+.f64 (*.f64 2 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 (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))))))))
(log.f64 (exp.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(neg.f64 (log.f64 (exp.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 (PI.f64) 1/2)))))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3)
(exp.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 3)
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (exp.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 3) 1/3)
(log.f64 (/.f64 (exp.f64 (*.f64 (PI.f64) 1/2)) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
(log.f64 (exp.f64 (+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))
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:

41.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
30.0ms
x
3.0ms
(-.f64 1 x)
3.0ms
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
3.0ms
(/.f64 (-.f64 1 x) 2)
Results
AccuracySegmentsBranch
8.2%1x
8.2%1(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
8.2%1(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
8.2%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
8.2%1(sqrt.f64 (/.f64 (-.f64 1 x) 2))
8.2%1(/.f64 (-.f64 1 x) 2)
8.2%1(-.f64 1 x)
Compiler

Compiled 411 to 359 computations (12.7% saved)

regimes34.0ms (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) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) -1/2))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (+.f64 (*.f64 2 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 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
Outputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) -1/2))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
Calls

7 calls:

15.0ms
x
3.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
2.0ms
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
2.0ms
(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
2.0ms
(/.f64 (-.f64 1 x) 2)
Results
AccuracySegmentsBranch
9.8%3x
6.8%1(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
6.8%1(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
6.8%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
6.8%1(sqrt.f64 (/.f64 (-.f64 1 x) 2))
6.8%1(/.f64 (-.f64 1 x) 2)
6.8%1(-.f64 1 x)
Compiler

Compiled 156 to 137 computations (12.2% saved)

bsearch197.0ms (0.9%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
120.0ms
2.0096559196003884e-164
5.637741761437326e-154
76.0ms
-8.806709951748754e-159
-1.2066537448516032e-163
Results
190.0ms304×body1024valid
Compiler

Compiled 607 to 586 computations (3.5% saved)

regimes69.0ms (0.3%)

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

7 calls:

39.0ms
(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
15.0ms
x
3.0ms
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
2.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
2.0ms
(/.f64 (-.f64 1 x) 2)
Results
AccuracySegmentsBranch
9.8%3x
6.8%1(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
6.8%1(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
6.8%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
6.8%1(sqrt.f64 (/.f64 (-.f64 1 x) 2))
6.8%1(/.f64 (-.f64 1 x) 2)
6.8%1(-.f64 1 x)
Compiler

Compiled 142 to 125 computations (12% saved)

bsearch191.0ms (0.9%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
116.0ms
2.0096559196003884e-164
5.637741761437326e-154
75.0ms
-8.806709951748754e-159
-1.2066537448516032e-163
Results
186.0ms304×body1024valid
Compiler

Compiled 617 to 596 computations (3.4% saved)

regimes30.0ms (0.1%)

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

7 calls:

13.0ms
x
3.0ms
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
2.0ms
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
2.0ms
(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
2.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
Results
AccuracySegmentsBranch
9.3%3x
6.8%1(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
6.8%1(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
6.8%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
6.8%1(sqrt.f64 (/.f64 (-.f64 1 x) 2))
6.8%1(/.f64 (-.f64 1 x) 2)
6.8%1(-.f64 1 x)
Compiler

Compiled 127 to 112 computations (11.8% saved)

bsearch171.0ms (0.8%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
79.0ms
2.0096559196003884e-164
5.637741761437326e-154
92.0ms
-8.806709951748754e-159
-1.2066537448516032e-163
Results
166.0ms304×body1024valid
Compiler

Compiled 617 to 596 computations (3.4% saved)

regimes28.0ms (0.1%)

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

7 calls:

12.0ms
x
3.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
2.0ms
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
2.0ms
(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
2.0ms
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
Results
AccuracySegmentsBranch
9.1%3x
6.8%1(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
6.8%1(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
6.8%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
6.8%1(sqrt.f64 (/.f64 (-.f64 1 x) 2))
6.8%1(/.f64 (-.f64 1 x) 2)
6.8%1(-.f64 1 x)
Compiler

Compiled 112 to 99 computations (11.6% saved)

bsearch151.0ms (0.7%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
22.0ms
1.2426433920773399e-18
8.812598549125369e-16
129.0ms
-8.806709951748754e-159
-1.2066537448516032e-163
Results
126.0ms144×body1024valid
20.0ms128×body256valid
Compiler

Compiled 537 to 518 computations (3.5% saved)

regimes25.0ms (0.1%)

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

7 calls:

11.0ms
x
2.0ms
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
2.0ms
(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
2.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
2.0ms
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
Results
AccuracySegmentsBranch
9.1%3x
6.8%1(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
6.8%1(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
6.8%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
6.8%1(sqrt.f64 (/.f64 (-.f64 1 x) 2))
6.8%1(/.f64 (-.f64 1 x) 2)
6.8%1(-.f64 1 x)
Compiler

Compiled 98 to 87 computations (11.2% saved)

bsearch98.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
25.0ms
1.2426433920773399e-18
8.812598549125369e-16
73.0ms
-8.806709951748754e-159
-1.2066537448516032e-163
Results
70.0ms144×body1024valid
23.0ms128×body256valid
Compiler

Compiled 528 to 509 computations (3.6% saved)

regimes17.0ms (0.1%)

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

7 calls:

3.0ms
x
2.0ms
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
2.0ms
(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
2.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
2.0ms
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
Results
AccuracySegmentsBranch
6.8%1x
6.8%1(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
6.8%1(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
6.8%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
6.8%1(sqrt.f64 (/.f64 (-.f64 1 x) 2))
6.8%1(/.f64 (-.f64 1 x) 2)
6.8%1(-.f64 1 x)
Compiler

Compiled 85 to 75 computations (11.8% saved)

regimes7.0ms (0%)

Accuracy

Total -2.3b remaining (-3.8%)

Threshold costs -2.3b (-3.8%)

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

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
5.9%2x
Compiler

Compiled 23 to 21 computations (8.7% saved)

bsearch160.0ms (0.7%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
160.0ms
-1.2003568000346795e-307
3.057941803223263e-302
Results
157.0ms144×body2048valid
Compiler

Compiled 234 to 232 computations (0.9% saved)

simplify245.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
428×unsub-neg
246×neg-mul-1
112×*-commutative
106×distribute-lft-neg-in
106×distribute-neg-out
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092952
1165952
2260952
3323952
4462952
5650952
6698952
7842952
81009952
91010952
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(if (<=.f64 x -6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) -1/2)))) (if (<=.f64 x 6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))))
(if (<=.f64 x -6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) -1/2)))) (if (<=.f64 x 6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
(if (<=.f64 x -6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) -1/2)))) (if (<=.f64 x 6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (+.f64 (*.f64 2 x) 2))))))))
(if (<=.f64 x -6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) -1/2)))) (if (<=.f64 x 2271629875608987/40564819207303340847894502572032) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(if (<=.f64 x -6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (if (<=.f64 x 2271629875608987/40564819207303340847894502572032) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1))) (-.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)))))
(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
(expm1.f64 (log1p.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (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 1/2 (PI.f64)))))
(if (<=.f64 x -6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) -1/2)))) (if (<=.f64 x 6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))))
(if (<=.f64 x -6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) -1/2)))) (if (<=.f64 x 6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (+.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) -1))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))))
(if (<=.f64 x -6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) -1/2)))) (if (<=.f64 x 6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (+.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 1 (+.f64 1 (asin.f64 (sqrt.f64 1/2)))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))))
(if (<=.f64 x -6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) -1/2)))) (if (<=.f64 x 6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (+.f64 (/.f64 (PI.f64) 2) (*.f64 2 (+.f64 1 (-.f64 -1 (asin.f64 (sqrt.f64 1/2)))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))))
(if (<=.f64 x -6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) -1/2)))) (if (<=.f64 x 6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
(if (<=.f64 x -6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) -1/2)))) (if (<=.f64 x 6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (+.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) -1))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
(if (<=.f64 x -6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) -1/2)))) (if (<=.f64 x 6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (+.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 1 (+.f64 1 (asin.f64 (sqrt.f64 1/2)))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
(if (<=.f64 x -6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) -1/2)))) (if (<=.f64 x 6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (+.f64 (/.f64 (PI.f64) 2) (*.f64 2 (+.f64 1 (-.f64 -1 (asin.f64 (sqrt.f64 1/2)))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
(if (<=.f64 x -6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) -1/2)))) (if (<=.f64 x 6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (+.f64 (*.f64 2 x) 2))))))))
(if (<=.f64 x -6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) -1/2)))) (if (<=.f64 x 6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (*.f64 x 2)))))))))
(if (<=.f64 x -6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) -1/2)))) (if (<=.f64 x 6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (+.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) -1))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (*.f64 x 2)))))))))
(if (<=.f64 x -6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) -1/2)))) (if (<=.f64 x 6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (+.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 1 (+.f64 1 (asin.f64 (sqrt.f64 1/2)))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (*.f64 x 2)))))))))
(if (<=.f64 x -6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) -1/2)))) (if (<=.f64 x 6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (+.f64 (/.f64 (PI.f64) 2) (*.f64 2 (+.f64 1 (-.f64 -1 (asin.f64 (sqrt.f64 1/2)))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (*.f64 x 2)))))))))
(if (<=.f64 x -6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) -1/2)))) (if (<=.f64 x 2271629875608987/40564819207303340847894502572032) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(if (<=.f64 x -6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) -1/2)))) (if (<=.f64 x 2271629875608987/40564819207303340847894502572032) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (+.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) -1))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(if (<=.f64 x -6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) -1/2)))) (if (<=.f64 x 2271629875608987/40564819207303340847894502572032) (+.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 1 (+.f64 1 (asin.f64 (sqrt.f64 1/2)))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(if (<=.f64 x -6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) -1/2)))) (if (<=.f64 x 2271629875608987/40564819207303340847894502572032) (+.f64 (/.f64 (PI.f64) 2) (*.f64 2 (+.f64 1 (-.f64 -1 (asin.f64 (sqrt.f64 1/2)))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(if (<=.f64 x -6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (if (<=.f64 x 2271629875608987/40564819207303340847894502572032) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(if (or (<=.f64 x -6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (not (<=.f64 x 2271629875608987/40564819207303340847894502572032))) (-.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 1 (asin.f64 (sqrt.f64 1/2))) 1))))
(if (or (<=.f64 x -6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (not (<=.f64 x 2271629875608987/40564819207303340847894502572032))) (-.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 1 (asin.f64 (sqrt.f64 1/2))) -1))))
(if (or (<=.f64 x -6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (not (<=.f64 x 2271629875608987/40564819207303340847894502572032))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 1 (+.f64 1 (asin.f64 (sqrt.f64 1/2)))))))
(if (or (<=.f64 x -6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (not (<=.f64 x 2271629875608987/40564819207303340847894502572032))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (*.f64 2 (+.f64 1 (-.f64 -1 (asin.f64 (sqrt.f64 1/2)))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(if (<=.f64 x -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
Compiler

Compiled 323 to 288 computations (10.8% saved)

soundness1.2s (5.4%)

Rules
1606×log-prod
1500×log-prod
1500×log-prod
1500×log-prod
1500×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01579
132875
2429675
016110
135388
2464488
059
11059
211519
01579
132875
2429675
043010465
19419789
226379339
01579
132875
2429675
01795
133695
2398083
02977531
16687213
219056819
376746803
01579
132875
2429675
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 871 to 758 computations (13% saved)

end310.0ms (1.4%)

Compiler

Compiled 314 to 270 computations (14% saved)

Profiling

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