Details

Time bar (total: 23.2s)

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)

sample4.6s (19.7%)

Results
2.6s4115×body1024valid
1.1s2065×body512valid
486.0ms1622×body256valid
357.0ms454×body2048valid
0.0ms2×body256invalid
Bogosity

preprocess22.0ms (0.1%)

Algorithm
2×egg-herbie
Rules
204×fma-def
74×associate-+l-
74×+-commutative
72×associate--r+
62×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01541
13041
24437
37037
410337
514933
624033
733733
842233
954233
1060633
1161633
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 (-.f64 1 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))
Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify57.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
204×fma-def
74×associate-+l-
74×+-commutative
72×associate--r+
62×*-commutative
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01541
13041
24437
37037
410337
514933
624033
733733
842233
954233
1060633
1161633
Stop Event
1×saturated
Counts
1 → 8
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 (-.f64 1 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))

eval2.0ms (0%)

Compiler

Compiled 98 to 83 computations (15.3% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New718
Fresh011
Picked000
Done000
Total729
Error
93.3%
Counts
9 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶93.3%
(-.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)

localize31.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.01%
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
✓1.5%
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
✓12.73%
(-.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)

series3.0ms (0%)

Counts
3 → 28
Calls

9 calls:

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

rewrite137.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
866×distribute-rgt-in
810×distribute-lft-in
740×associate-/l*
656×associate-/r*
380×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01579
132775
2424375
Stop Event
1×node limit
Counts
3 → 192
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
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simplify219.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1644×associate-*r/
1238×associate-+r+
1046×associate-+l+
998×+-commutative
782×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
050517422
1133514570
2563314306
Stop Event
1×node limit
Counts
220 → 295
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 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) (fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) 1) (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 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) 1) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) (fma.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) 1) (fma.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
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(/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) 3)) (+.f64 (*.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 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) 3) (pow.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 3) 3)) (*.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))) (+.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (PI.f64) 3) 1/8)) (+.f64 (*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 3) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 3)) (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 3))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 3) (pow.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2)) 3)) (*.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (+.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (+.f64 (*.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2)))))))
(/.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 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))))
(/.f64 (/.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))) 1) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
(/.f64 (/.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 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 3)) 1) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 3)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 3)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))))
(pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) 1)
(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) 3)
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) 2))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)))))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 1 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 1))
(+.f64 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/2))) (-.f64 1 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (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 (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 (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 (-.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)))))) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 1)
(pow.f64 (sqrt.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))))) 3)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3) 1/3)
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 1))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 1 (*.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 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(-.f64 (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 (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)) (/.f64 1 (sqrt.f64 2)))
(*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 1/2 1/2))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (cbrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(*.f64 (cbrt.f64 (-.f64 1/2 (*.f64 x 1/2))) (cbrt.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 x 1/2))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x)))
(*.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 (cbrt.f64 (-.f64 1 x)) (/.f64 (sqrt.f64 2) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))))
(/.f64 (sqrt.f64 (+.f64 -1 x)) (sqrt.f64 -2))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) (*.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 1 (fma.f64 x x x)))))
(/.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 x))) (/.f64 (sqrt.f64 2) (sqrt.f64 (sqrt.f64 (-.f64 1 x)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 2) (sqrt.f64 (cbrt.f64 (-.f64 1 x)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (sqrt.f64 2))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.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 (pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 1/4) 2)
(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)
(fabs.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (-.f64 1/2 (*.f64 x 1/2))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
Outputs
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
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(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(exp.f64 (*.f64 (log.f64 (-.f64 1/2 (*.f64 x 1/2))) 1/2))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 1))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))

eval290.0ms (1.3%)

Compiler

Compiled 10542 to 9219 computations (12.5% saved)

prune133.0ms (0.6%)

Pruning

27 alts after pruning (26 fresh and 1 done)

PrunedKeptTotal
New26926295
Fresh000
Picked011
Done000
Total26927296
Error
90.04%
Counts
296 → 27
Alt Table
Click to see full alt table
StatusErrorProgram
98.85%
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) 3) 1/3)
98.85%
(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) 2)
93.31%
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) 3)
93.33%
(/.f64 (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (*.f64 -16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4))) (*.f64 (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
93.28%
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/512) (*.f64 512 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 3))) (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (fma.f64 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 6)))) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
93.32%
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (*.f64 64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) 3))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (+.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)) 1/16) (*.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))))))
93.29%
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 6)) (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (fma.f64 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4))))) (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
▶93.33%
(/.f64 (/.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 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
93.29%
(/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/512) (pow.f64 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)) 3)) (*.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))) (+.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)) 1/64) (*.f64 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)))))))
93.28%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
93.32%
(/.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 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
93.33%
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (*.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2)))) (*.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 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)))))
93.28%
(/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) 3)) (+.f64 (*.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)))))
▶92.02%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
93.43%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
93.32%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓93.3%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
▶95.73%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
93.43%
(+.f64 (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 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)))
93.59%
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (+.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 0)) (neg.f64 (*.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))))))))))
▶93.49%
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2)) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
93.28%
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3))) (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)) 1/16) (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))))) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))))
93.32%
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 3))) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (-.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)))))))))
93.34%
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
93.3%
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
98.85%
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
▶93.3%
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) 3))
Compiler

Compiled 2242 to 2017 computations (10% saved)

localize65.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.01%
(sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))
✓0.03%
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
✓0.04%
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓12.73%
(-.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)

series4.0ms (0%)

Counts
4 → 40
Calls

12 calls:

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

rewrite155.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1268×distribute-lft-in
674×associate-/l*
616×associate-/r*
382×add-sqr-sqrt
370×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017128
138896
2492596
Stop Event
1×node limit
Counts
4 → 281
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)))))))
(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)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) 1) (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))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1/2 (*.f64 x -1/2))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (cbrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1/4 (*.f64 x (*.f64 1/4 x)))) (sqrt.f64 (-.f64 1/2 (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1/8 (*.f64 (pow.f64 x 3) 1/8))) (sqrt.f64 (+.f64 (*.f64 x (*.f64 1/4 x)) (+.f64 (*.f64 1/4 x) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 1/2 (*.f64 x -1/2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))

simplify240.0ms (1%)

Algorithm
1×egg-herbie
Rules
1090×associate-*r*
842×associate-*l*
688×+-commutative
566×*-commutative
432×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
070525253
1200921627
Stop Event
1×node limit
Counts
321 → 416
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)))))))
(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 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))))))
(+.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 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) 1) (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 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) 1) (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) 1) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) 1) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) 1) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 1 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) 1)))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) (fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) (+.f64 (fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) (+.f64 (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 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) (+.f64 (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 (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))))))))
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(/.f64 (+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) 3) (pow.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 3)) (*.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (+.f64 (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) 3) (pow.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 3)) (*.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (+.f64 (*.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) (neg.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) (neg.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(/.f64 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) 1) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(/.f64 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(/.f64 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(/.f64 (/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) 1) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(/.f64 (/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (sqrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) (sqrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(/.f64 (/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))) (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 1)
(pow.f64 (sqrt.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))))) 3)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 1/3)
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(fma.f64 1/2 (PI.f64) (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 (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 (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))))))
(asin.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 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 1)
(*.f64 1 (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 (cbrt.f64 (+.f64 1/2 (*.f64 x -1/2))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (cbrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(*.f64 (sqrt.f64 (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 (sqrt.f64 (-.f64 1/4 (*.f64 x (*.f64 1/4 x)))) (sqrt.f64 (-.f64 1/2 (*.f64 x -1/2))))
(/.f64 (sqrt.f64 (-.f64 1/8 (*.f64 (pow.f64 x 3) 1/8))) (sqrt.f64 (+.f64 (*.f64 x (*.f64 1/4 x)) (+.f64 (*.f64 1/4 x) 1/4))))
(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 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2)
(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)
(fabs.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(exp.f64 (*.f64 (log.f64 (+.f64 1/2 (*.f64 x -1/2))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
Outputs
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (*.f64 2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (PI.f64) -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 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (*.f64 2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (PI.f64) -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 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (*.f64 2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (PI.f64) -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 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (*.f64 2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (PI.f64) -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 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (*.f64 2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (PI.f64) -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 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (*.f64 2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (PI.f64) -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 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (*.f64 2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (PI.f64) -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 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (*.f64 2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (PI.f64) -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 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (*.f64 2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (PI.f64) -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 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (*.f64 2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (PI.f64) -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 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (*.f64 2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (PI.f64) -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 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (*.f64 2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (PI.f64) -1/2))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -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 x -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 x -1/2))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
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(+.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 0)
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(+.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 0)
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(+.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 0)
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1)
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(*.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 1)
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(*.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(*.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 x -1/2))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(*.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 x))) (cbrt.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(*.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 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 x))) (cbrt.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(*.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 (fabs.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (sqrt.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (sqrt.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(/.f64 (sqrt.f64 (-.f64 1/4 (*.f64 x (*.f64 1/4 x)))) (sqrt.f64 (-.f64 1/2 (*.f64 x -1/2))))
(/.f64 (sqrt.f64 (-.f64 1/4 (*.f64 x (*.f64 x 1/4)))) (sqrt.f64 (-.f64 1/2 (*.f64 x -1/2))))
(/.f64 (sqrt.f64 (-.f64 1/4 (*.f64 x (*.f64 x 1/4)))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 x))))
(/.f64 (sqrt.f64 (-.f64 1/8 (*.f64 (pow.f64 x 3) 1/8))) (sqrt.f64 (+.f64 (*.f64 x (*.f64 1/4 x)) (+.f64 (*.f64 1/4 x) 1/4))))
(/.f64 (sqrt.f64 (-.f64 1/8 (*.f64 (pow.f64 x 3) 1/8))) (sqrt.f64 (fma.f64 x (*.f64 x 1/4) (fma.f64 1/4 x 1/4))))
(/.f64 (sqrt.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/8))) (sqrt.f64 (+.f64 1/4 (*.f64 x (fma.f64 1/4 x 1/4)))))
(pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/2)
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(pow.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 1)
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2)
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 3/2))
(cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 3/2))
(fabs.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 3/2))
(cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(exp.f64 (*.f64 (log.f64 (+.f64 1/2 (*.f64 x -1/2))) 1/2))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 1))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))

localize18.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓1.56%
(asin.f64 (sqrt.f64 1/2))
Compiler

Compiled 26 to 24 computations (7.7% saved)

series0.0ms (0%)

Counts
1 → 0

rewrite47.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
944×add-sqr-sqrt
924×*-un-lft-identity
884×pow1
864×add-cube-cbrt
858×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059
11049
211529
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(asin.f64 (sqrt.f64 1/2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 1/2 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (asin.f64 (sqrt.f64 1/2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (asin.f64 (sqrt.f64 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (asin.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) (sqrt.f64 (asin.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) 2) (cbrt.f64 (asin.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))) (*.f64 (acos.f64 (sqrt.f64 1/2)) (acos.f64 (sqrt.f64 1/2)))) (+.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (acos.f64 (sqrt.f64 1/2)) 3)) (+.f64 (*.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))) (+.f64 (*.f64 (acos.f64 (sqrt.f64 1/2)) (acos.f64 (sqrt.f64 1/2))) (*.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (asin.f64 (sqrt.f64 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (asin.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (asin.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 1/2))))))))

simplify58.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1100×distribute-lft-in
1058×fma-def
930×distribute-rgt-in
700×associate-*r*
568×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
056473
1141373
2545373
32412333
47042333
Stop Event
1×node limit
Counts
21 → 28
Calls
Call 1
Inputs
(+.f64 (*.f64 1/2 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 1/2))))
(+.f64 (neg.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 1/2 (PI.f64)))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 1/2)))
(-.f64 (+.f64 (asin.f64 (sqrt.f64 1/2)) 1) 1)
(*.f64 (asin.f64 (sqrt.f64 1/2)) 1)
(*.f64 1 (asin.f64 (sqrt.f64 1/2)))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) (sqrt.f64 (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 (-.f64 (*.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))) (*.f64 (acos.f64 (sqrt.f64 1/2)) (acos.f64 (sqrt.f64 1/2)))) (+.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 1/2))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (acos.f64 (sqrt.f64 1/2)) 3)) (+.f64 (*.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))) (+.f64 (*.f64 (acos.f64 (sqrt.f64 1/2)) (acos.f64 (sqrt.f64 1/2))) (*.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 1/2))))))
(pow.f64 (asin.f64 (sqrt.f64 1/2)) 1)
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) 2)
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) 3)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3) 1/3)
(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 1/2 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 1/2)))
(+.f64 (neg.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 1/2 (PI.f64)))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 1/2)))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 1/2)))
(-.f64 (+.f64 (asin.f64 (sqrt.f64 1/2)) 1) 1)
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(*.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 (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 (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 (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 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(/.f64 (-.f64 (*.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))) (*.f64 (acos.f64 (sqrt.f64 1/2)) (acos.f64 (sqrt.f64 1/2)))) (+.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 1/2))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 (PI.f64) (PI.f64))) (*.f64 (acos.f64 (sqrt.f64 1/2)) (acos.f64 (sqrt.f64 1/2)))) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 1/2))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4)) (*.f64 (acos.f64 (sqrt.f64 1/2)) (acos.f64 (sqrt.f64 1/2)))) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 1/2))))
(*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 1/2))) 1)
(/.f64 (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (acos.f64 (sqrt.f64 1/2)) 3)) (+.f64 (*.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))) (+.f64 (*.f64 (acos.f64 (sqrt.f64 1/2)) (acos.f64 (sqrt.f64 1/2))) (*.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 1/2))))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 1/2)) 3)) (+.f64 (*.f64 1/4 (*.f64 (PI.f64) (PI.f64))) (*.f64 (acos.f64 (sqrt.f64 1/2)) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 1/2))))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 1/2)) 3)) (fma.f64 (acos.f64 (sqrt.f64 1/2)) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4))))
(pow.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 (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 (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 (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 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 1/2))))
(+.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 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 1/2))))
(+.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 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 1/2))))
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))

localize40.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.01%
(sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))
✓0.14%
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) 3))
✓1.5%
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓12.73%
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
Compiler

Compiled 77 to 65 computations (15.6% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
0.0ms
x
@-inf
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
0.0ms
x
@inf
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
0.0ms
x
@0
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) 3))
0.0ms
x
@-inf
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) 3))

rewrite90.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
634×distribute-rgt-in
610×associate-*r/
578×distribute-lft-in
536×associate-*l/
362×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01895
137895
2425595
Stop Event
1×node limit
Counts
3 → 107
Calls
Call 1
Inputs
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) (*.f64 (pow.f64 1 1/3) (*.f64 (PI.f64) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 1 1/3) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (pow.f64 1 1/3)) (*.f64 (*.f64 (PI.f64) 1/2) (pow.f64 1 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (PI.f64) 1/2) (pow.f64 1 1/3)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (pow.f64 1 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) (-.f64 1 (*.f64 (PI.f64) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (PI.f64) 1/2) (exp.f64 (log1p.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) (pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) 2) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 2) 1/3) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))) (#(struct:change 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(*.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 4))) (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 4))) (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 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simplify172.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1122×associate-*r/
796×associate-*l/
690×distribute-lft-in
660×distribute-rgt-in
622×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01736863
14405963
215755963
356115963
Stop Event
1×node limit
Counts
143 → 94
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))))))
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(*.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))
(*.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))
(*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) 2))
(*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) (pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) 2) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 2) 1/3) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))
(*.f64 (pow.f64 1 1/3) (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 3/2) 1/3) (pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 3/2) 1/3))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 4)) (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))
(/.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2)))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 4))) (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2)))))
(/.f64 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 4))) (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))
(/.f64 (*.f64 (pow.f64 1 1/3) (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 4)) 1) (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) 1) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2)))))
(pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 1)
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) 3)
(sqrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 2))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 3)) 1/3))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))
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 (+.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 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 (+.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 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 (+.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 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 (+.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 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 (+.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 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 (+.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 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 (+.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 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 (+.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 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 (+.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 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 (+.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 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 (+.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 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 (+.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 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 (+.f64 1/2 (*.f64 x -1/2))))
(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 (+.f64 1/2 (*.f64 x -1/2))))
(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 (+.f64 1/2 (*.f64 x -1/2))))
(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 (+.f64 1/2 (*.f64 x -1/2))))
(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 (+.f64 1/2 (*.f64 x -1/2))))
(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 (+.f64 1/2 (*.f64 x -1/2))))
(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 (+.f64 1/2 (*.f64 x -1/2))))
(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 (+.f64 1/2 (*.f64 x -1/2))))
(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 (+.f64 1/2 (*.f64 x -1/2))))
(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 (+.f64 1/2 (*.f64 x -1/2))))
(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 (+.f64 1/2 (*.f64 x -1/2))))
(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 (+.f64 1/2 (*.f64 x -1/2))))
(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 (+.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 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 (+.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 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 (+.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 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 (+.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 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 (+.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 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 (+.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 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))))))
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(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(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 (+.f64 1/2 (*.f64 x -1/2)))) -2))
(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 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))

localize109.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓1.48%
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
✓1.5%
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
✓12.73%
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))
✓91.71%
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
Compiler

Compiled 188 to 166 computations (11.7% saved)

series5.0ms (0%)

Counts
4 → 40
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@0
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
1.0ms
x
@-inf
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
1.0ms
x
@inf
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
0.0ms
x
@-inf
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
0.0ms
x
@0
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))

rewrite103.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
694×associate-*r/
686×distribute-rgt-in
620×distribute-lft-in
608×associate-*l/
420×add-sqr-sqrt
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
020188
1416148
25032122
Stop Event
1×node limit
Counts
4 → 172
Calls
Call 1
Inputs
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
Outputs
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(*.f64 x -1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (sqrt.f64 (*.f64 2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 2) (cbrt.f64 (*.f64 2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 (*.f64 2 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 1/2 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (-.f64 1 (*.f64 1/2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/2 (PI.f64)) (exp.f64 (log1p.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x 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simplify174.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
550×associate-*r*
446×associate-*l*
352×times-frac
336×associate-/l*
272×unswap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037614776
191314776
2546314776
Stop Event
1×unsound
Counts
212 → 183
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 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
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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 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)))))))
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(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
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(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
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(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
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(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
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(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(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))))))
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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 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1/4) (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1/4)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (neg.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(*.f64 -1 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(*.f64 (*.f64 -1 (sqrt.f64 2)) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(*.f64 (*.f64 -1 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1/4)) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1/4))
(*.f64 (*.f64 -1 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(*.f64 (neg.f64 (sqrt.f64 2)) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(*.f64 (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1/4)) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1/4))
(*.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1/2))
(*.f64 (/.f64 (-.f64 0 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (-.f64 0 (*.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 (/.f64 (-.f64 0 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (-.f64 0 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3/2))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 0))
(/.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1)
(/.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) -1)
(/.f64 (-.f64 0 (*.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 (-.f64 0 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3/2)) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 0))
(/.f64 (*.f64 1 (-.f64 0 (*.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 (*.f64 1 (-.f64 0 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3/2))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 0))
(/.f64 (*.f64 -1 (-.f64 0 (*.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 (*.f64 -1 (-.f64 0 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3/2))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 0))
(/.f64 (*.f64 (pow.f64 1 1/2) (-.f64 0 (*.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 (*.f64 (pow.f64 1 1/2) (-.f64 0 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3/2))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 0))
(/.f64 (*.f64 (-.f64 0 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(/.f64 (*.f64 (-.f64 0 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3/2)) 1) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 0))
(/.f64 (*.f64 (-.f64 0 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) -1) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(/.f64 (*.f64 (-.f64 0 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3/2)) -1) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 0))
(/.f64 (/.f64 (-.f64 0 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(/.f64 (/.f64 (-.f64 0 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (sqrt.f64 -2)) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(/.f64 (/.f64 (-.f64 0 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (sqrt.f64 -2))
(/.f64 (/.f64 (-.f64 0 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (sqrt.f64 2))
(/.f64 (/.f64 (-.f64 0 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (sqrt.f64 2)) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(/.f64 (/.f64 (-.f64 0 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (sqrt.f64 2)) (neg.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(/.f64 (/.f64 (-.f64 0 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1/4)) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1/4))
(/.f64 (/.f64 (-.f64 0 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1/4)) (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1/4)))
(/.f64 (/.f64 (-.f64 0 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(/.f64 (/.f64 (-.f64 0 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(/.f64 (/.f64 (-.f64 0 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (neg.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(/.f64 (/.f64 (-.f64 0 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) -1) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(/.f64 (/.f64 (-.f64 0 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2))) (sqrt.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(/.f64 (/.f64 (-.f64 0 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 -1 (sqrt.f64 2))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(/.f64 (/.f64 (-.f64 0 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 -1 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1/4))) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1/4))
(/.f64 (/.f64 (-.f64 0 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 -1 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(/.f64 (/.f64 (-.f64 0 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (neg.f64 (sqrt.f64 2))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(/.f64 (/.f64 (-.f64 0 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1/4))) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1/4))
(/.f64 (/.f64 (-.f64 0 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(/.f64 (/.f64 (-.f64 0 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (pow.f64 1 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(/.f64 (/.f64 (-.f64 0 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2) 1/2)) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1/2))
(pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1/2)
(pow.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1)
(pow.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3)
(pow.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3/2) 1/3)
(neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(fabs.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -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 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 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)))))))
(fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 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)))))))
(fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 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)))))))
(fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 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)))))))
(fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 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)))))))
(fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 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)))))))
(fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 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)))))))
(fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
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(fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(pow.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1)
(fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(pow.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1/4) 2)
(fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3)
(fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(pow.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3/2) 1/3)
(fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 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)))))))
(fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(fabs.f64 (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)))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(log.f64 (exp.f64 (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)))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(log.f64 (+.f64 1 (expm1.f64 (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)))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3/2))
(fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(expm1.f64 (log1p.f64 (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)))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(exp.f64 (log.f64 (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)))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1/2))
(fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 1))
(fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(log1p.f64 (expm1.f64 (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)))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))

localize145.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.5%
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓1.52%
(*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
✓1.53%
(cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
✓12.75%
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2)))
Compiler

Compiled 238 to 204 computations (14.3% saved)

series28.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
14.0ms
x
@inf
(*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
5.0ms
x
@-inf
(*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
2.0ms
x
@0
(*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
2.0ms
x
@0
(cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
1.0ms
x
@inf
(cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))

rewrite226.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
1172×associate-*r/
504×add-sqr-sqrt
490×*-un-lft-identity
484×pow1
470×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024141
1511137
26238137
Stop Event
1×node limit
Counts
3 → 189
Calls
Call 1
Inputs
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2)))
(cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
Outputs
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simplify232.0ms (1%)

Algorithm
1×egg-herbie
Rules
924×*-commutative
896×+-commutative
724×distribute-lft-in
714×fma-def
698×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044416657
1114014923
2399013687
Stop Event
1×node limit
Counts
225 → 247
Calls
Call 1
Inputs
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(pow.f64 (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))) 1/3)
(pow.f64 (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))) 1/3)
(pow.f64 (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))) 1/3)
(pow.f64 (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))) 1/3)
(pow.f64 (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))) 1/3)
(pow.f64 (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))) 1/3)
(pow.f64 (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))) 1/3)
(pow.f64 (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))) 1/3)
(pow.f64 (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64))) 1/3)
(pow.f64 (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64))) 1/3)
(pow.f64 (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64))) 1/3)
(pow.f64 (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64))) 1/3)
(pow.f64 (pow.f64 (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))) 2) 1/3)
(pow.f64 (pow.f64 (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))) 2) 1/3)
(pow.f64 (pow.f64 (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))) 2) 1/3)
(pow.f64 (pow.f64 (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))) 2) 1/3)
(pow.f64 (pow.f64 (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))) 2) 1/3)
(pow.f64 (pow.f64 (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))) 2) 1/3)
(pow.f64 (pow.f64 (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))) 2) 1/3)
(pow.f64 (pow.f64 (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))) 2) 1/3)
(pow.f64 (pow.f64 (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64))) 2) 1/3)
(pow.f64 (pow.f64 (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64))) 2) 1/3)
(pow.f64 (pow.f64 (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64))) 2) 1/3)
(pow.f64 (pow.f64 (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64))) 2) 1/3)
(+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4))
(+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4) (+.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4))))
(+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4) 1))
(+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4) (+.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4))) (+.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4))))
(+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4) 1) (+.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4))))
(+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4) (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4) (+.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (+.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4))))))
(+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4) (+.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4))) (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4) (+.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (+.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4))))))
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(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4))) 3)
(pow.f64 (pow.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4)) 2))
(log.f64 (exp.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4)))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4))))
(fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4))
(fma.f64 1 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4))
(fma.f64 1 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4)) (+.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4)))
(fma.f64 (sqrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4))) (sqrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4))) (+.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16)) (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4))) 2) (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4))) (+.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4)))
(fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) 1)
(*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 1)
(*.f64 1 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(*.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1/6) (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) 2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 1/3) (pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 1/3))
(pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 1)
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2)) 1/2)
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) 3)
(sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2)))
(fabs.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(exp.f64 (log.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2)))) 1)
(pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2/3)
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 2)
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) 2) 3)
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2) 1/3)
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 4))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2)))))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2))))
(exp.f64 (log.f64 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2))))
Outputs
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 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)))
(-.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 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 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)))
(-.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 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 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)))
(-.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 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 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)))
(-.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 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 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)))
(-.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 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 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)))
(-.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 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 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)))
(-.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 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 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)))
(-.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 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 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)))
(-.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 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 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)))
(-.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 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 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)))
(-.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 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 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)))
(pow.f64 (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))) 1/3)
(cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))
(cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))
(pow.f64 (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))) 1/3)
(cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))
(cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))
(pow.f64 (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))) 1/3)
(cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))
(cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))
(pow.f64 (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))) 1/3)
(cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))
(cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))
(pow.f64 (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))) 1/3)
(cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))
(cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))
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(cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))
(cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) 2)))
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(*.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))
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(pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1/3)
(cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))
(cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 1)
(cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))
(cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2)) 1/2)
(sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) 2)))
(sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)) 2)))
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1/6) 2)
(cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))
(cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) 3)
(cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))
(cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))
(sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2)))
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(cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))
(cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))
(cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))
(cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))
(cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))
(expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))
(cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))
(exp.f64 (log.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))
(cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 1/3))
(cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))
(cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) 1))
(cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))
(cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))
(log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))
(cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2)))) 1)
(cbrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) 2))
(cbrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)) 2))
(pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2/3)
(pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))) 2)
(pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 2)
(pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))) 2)
(pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))) 2)
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2)) 1)
(cbrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) 2))
(cbrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)) 2))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) 2) 3)
(pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))) 2)
(pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))) 2)
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2) 1/3)
(cbrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) 2))
(cbrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)) 2))
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 4))
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))) 4))
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))) 4))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2))))
(cbrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) 2))
(cbrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)) 2))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2)))))
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(cbrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)) 2))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2))
(cbrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) 2))
(cbrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)) 2))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2))))
(cbrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) 2))
(cbrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)) 2))
(exp.f64 (log.f64 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2))))
(cbrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) 2))
(cbrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)) 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) 2))
(pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))) 2)
(pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))) 2)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2))) 1))
(cbrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) 2))
(cbrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)) 2))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2))))
(cbrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) 2))
(cbrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)) 2))

eval2.1s (9.1%)

Compiler

Compiled 77163 to 67640 computations (12.3% saved)

prune623.0ms (2.7%)

Pruning

43 alts after pruning (41 fresh and 2 done)

PrunedKeptTotal
New1379291408
Fresh91221
Picked101
Done325
Total1392431435
Error
89.97%
Counts
1435 → 43
Alt Table
Click to see full alt table
StatusErrorProgram
98.85%
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) 3) 1/3)
98.85%
(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) 2)
93.31%
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) 3)
93.32%
(/.f64 (/.f64 (fma.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16)) (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4)) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
93.32%
(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (*.f64 64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 3))) (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))))) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
98.84%
(/.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4))) (sqrt.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (*.f64 64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 3))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2)))))) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
98.84%
(/.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (*.f64 -64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 3)))))) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
93.32%
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (*.f64 64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) 3))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (+.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)) 1/16) (*.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))))))
92.04%
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
93.33%
(/.f64 (/.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))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 2)) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
93.33%
(/.f64 (/.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 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))) (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) 1))
93.44%
(/.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))) (cbrt.f64 (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4))) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2)))) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
93.29%
(/.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4)) (fma.f64 (neg.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))))) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
93.29%
(/.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4)) (+.f64 (fma.f64 (neg.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))))) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2)) (fma.f64 (neg.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))))) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2)))) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
93.29%
(/.f64 (/.f64 (+.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 6) -64)) (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3) 8))) (+.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) 4)) (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
▶98.86%
(/.f64 (/.f64 (exp.f64 (log.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4)))) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
93.28%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
▶93.32%
(/.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 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
93.33%
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (*.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2)))) (*.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 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)))))
93.33%
(/.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 4)) (*.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) 4))))
93.29%
(/.f64 (-.f64 (*.f64 1/16 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2))) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 4)) (*.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))))
▶93.32%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓93.3%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓95.73%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
93.43%
(+.f64 (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 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)))
93.59%
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (+.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 0)) (neg.f64 (*.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))))))))))
93.47%
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2)) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
93.5%
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) -2)) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
93.51%
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2)) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
93.59%
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2)) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 2 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1)))))
▶93.43%
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2)) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 2 (log.f64 (exp.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))
93.49%
(+.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
▶92.02%
(+.f64 (*.f64 2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (PI.f64) -1/2))
93.28%
(*.f64 (/.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3) -8)) (+.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) -4) (*.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
93.34%
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
98.85%
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
93.35%
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2)) -2)) 3))
93.31%
(cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) 3) 3))
93.32%
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 4)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3))
93.28%
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/8)) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (-.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 1/2 (PI.f64)))))) 3))
93.3%
(cbrt.f64 (pow.f64 (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2)) 3))
93.3%
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 2) 1/3) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))) 3))
93.3%
(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 3)) 3))
Compiler

Compiled 4304 to 3869 computations (10.1% saved)

localize27.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.01%
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
✓0.04%
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
✓12.68%
(+.f64 (*.f64 2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (PI.f64) -1/2))
Compiler

Compiled 52 to 43 computations (17.3% saved)

series2.0ms (0%)

Counts
3 → 20
Calls

9 calls:

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

rewrite104.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
934×associate-*r/
810×associate-*l/
716×distribute-lft-in
352×add-sqr-sqrt
338×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01675
134475
2425875
Stop Event
1×node limit
Counts
3 → 148
Calls
Call 1
Inputs
(+.f64 (*.f64 2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (PI.f64) -1/2))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (cbrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1/2 (*.f64 x -1/2))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1/8 (*.f64 (pow.f64 x 3) 1/8))) (sqrt.f64 (+.f64 1/4 (+.f64 (*.f64 x (*.f64 1/4 x)) (*.f64 1/4 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1/4 (*.f64 x (*.f64 1/4 x)))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (sqrt.f64 (-.f64 1/8 (*.f64 (pow.f64 x 3) 1/8)))) (sqrt.f64 (+.f64 1/4 (+.f64 (*.f64 x (*.f64 1/4 x)) (*.f64 1/4 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (sqrt.f64 (-.f64 1/4 (*.f64 x (*.f64 1/4 x))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (cbrt.f64 (-.f64 1/8 (*.f64 (pow.f64 x 3) 1/8)))) (cbrt.f64 (+.f64 1/4 (+.f64 (*.f64 x (*.f64 1/4 x)) (*.f64 1/4 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (cbrt.f64 (-.f64 1/4 (*.f64 x (*.f64 1/4 x))))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1/8 (*.f64 (pow.f64 x 3) 1/8)))) (sqrt.f64 (+.f64 1/4 (+.f64 (*.f64 x (*.f64 1/4 x)) (*.f64 1/4 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1/4 (*.f64 x (*.f64 1/4 x))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1/8 (*.f64 (pow.f64 x 3) 1/8))) 1) (sqrt.f64 (+.f64 1/4 (+.f64 (*.f64 x (*.f64 1/4 x)) (*.f64 1/4 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1/4 (*.f64 x (*.f64 1/4 x)))) 1) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 1/8 (*.f64 (pow.f64 x 3) 1/8))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (cbrt.f64 (+.f64 1/4 (+.f64 (*.f64 x (*.f64 1/4 x)) (*.f64 1/4 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 1/4 (*.f64 x (*.f64 1/4 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 1/2 (*.f64 x -1/2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))

simplify178.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1008×associate-/r/
924×associate-/l/
816×distribute-lft-neg-in
634×associate-*r*
546×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041713368
1112910742
2504610742
Stop Event
1×node limit
Counts
168 → 236
Calls
Call 1
Inputs
(+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 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))))
(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 (exp.f64 (log1p.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) -1/2)))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (-.f64 1 (*.f64 (PI.f64) -1/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) -1/2))) (-.f64 1 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(-.f64 (/.f64 4 (/.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (PI.f64) -1/2))) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (PI.f64) -1/2)))))
(-.f64 (+.f64 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (exp.f64 (log1p.f64 (*.f64 (PI.f64) -1/2)))) 1)
(-.f64 (+.f64 (*.f64 (PI.f64) -1/2) (exp.f64 (log1p.f64 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) 1)
(*.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) -1/2)) 1)
(*.f64 1 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) -1/2)))
(*.f64 (sqrt.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) -1/2))) (sqrt.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) -1/2))))
(*.f64 (cbrt.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) -1/2))) (pow.f64 (cbrt.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) -1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) -1/2))) 2) (cbrt.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) -1/2))))
(*.f64 (-.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (/.f64 1 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (PI.f64) -1/2)))))
(*.f64 (+.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))) (/.f64 1 (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 (PI.f64) -1/2) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))
(*.f64 (/.f64 1 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (PI.f64) -1/2)))) (-.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(*.f64 (/.f64 1 (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 (PI.f64) -1/2) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) (+.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))))
(*.f64 (/.f64 (-.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) -1/2)))
(*.f64 (/.f64 (-.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3)))) (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 (PI.f64) -1/2) (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) -1/2)))))
(*.f64 (/.f64 (+.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))) (-.f64 (*.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) (*.f64 (*.f64 (*.f64 (PI.f64) -1/2) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (*.f64 (*.f64 (PI.f64) -1/2) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))) (-.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 (PI.f64) -1/2) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(*.f64 (/.f64 (+.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))) (+.f64 (pow.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) 3) (pow.f64 (*.f64 (*.f64 (PI.f64) -1/2) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3))) (-.f64 (+.f64 (*.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) (*.f64 (*.f64 (*.f64 (PI.f64) -1/2) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (*.f64 (*.f64 (PI.f64) -1/2) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) (*.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 (PI.f64) -1/2) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))
(/.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) -1/2)) (/.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (PI.f64) -1/2))) (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (PI.f64) -1/2)))))
(/.f64 1 (/.f64 1 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) -1/2))))
(/.f64 (-.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (PI.f64) -1/2))))
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(/.f64 (/.f64 (-.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (sqrt.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (PI.f64) -1/2))))) (sqrt.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (PI.f64) -1/2)))))
(/.f64 (/.f64 (-.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (*.f64 (cbrt.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (PI.f64) -1/2)))) (cbrt.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (PI.f64) -1/2)))))) (cbrt.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (PI.f64) -1/2)))))
(/.f64 (/.f64 (-.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (+.f64 (sqrt.f64 (*.f64 (PI.f64) -1/2)) (sqrt.f64 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (-.f64 (sqrt.f64 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (sqrt.f64 (*.f64 (PI.f64) -1/2))))
(/.f64 (/.f64 (+.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))) 1) (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 (PI.f64) -1/2) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(/.f64 (/.f64 (+.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))) (sqrt.f64 (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 (PI.f64) -1/2) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))) (sqrt.f64 (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 (PI.f64) -1/2) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))
(/.f64 (/.f64 (+.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))) (*.f64 (cbrt.f64 (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 (PI.f64) -1/2) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) (cbrt.f64 (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 (PI.f64) -1/2) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))) (cbrt.f64 (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 (PI.f64) -1/2) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))
(pow.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) -1/2)) 1)
(pow.f64 (sqrt.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) -1/2))) 2)
(pow.f64 (cbrt.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) -1/2))) 3)
(pow.f64 (pow.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) -1/2)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) -1/2)) 2))
(log.f64 (exp.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) -1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) -1/2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) -1/2))))
(exp.f64 (log.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) -1/2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) -1/2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) -1/2))))
(fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) -1/2))
(fma.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2 (*.f64 (PI.f64) -1/2))
(fma.f64 (PI.f64) -1/2 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(fma.f64 -1/2 (PI.f64) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(fma.f64 1 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 (PI.f64) -1/2))
(fma.f64 1 (*.f64 (PI.f64) -1/2) (*.f64 2 (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)) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(fma.f64 (sqrt.f64 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (sqrt.f64 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 (PI.f64) -1/2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) -1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) -1/2)) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2) (cbrt.f64 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 (PI.f64) -1/2))
(+.f64 (*.f64 1/2 (PI.f64)) (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 1 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 1/2 (PI.f64)))
(+.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1)
(*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 1)
(*.f64 1 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(*.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (sqrt.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (cbrt.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(/.f64 (-.f64 (*.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (+.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (+.f64 (*.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (+.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) (+.f64 (*.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1) (+.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) 1) (+.f64 (*.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 1)
(pow.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2)
(pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3)
(pow.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 1/3)
(sqrt.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))
(log.f64 (exp.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(cbrt.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))
(expm1.f64 (log1p.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(exp.f64 (log.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1))
(log1p.f64 (expm1.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1)
(*.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 1)
(*.f64 1 (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 (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 (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 (sqrt.f64 (-.f64 1/8 (*.f64 (pow.f64 x 3) 1/8))) (sqrt.f64 (+.f64 1/4 (+.f64 (*.f64 x (*.f64 1/4 x)) (*.f64 1/4 x)))))
(/.f64 (sqrt.f64 (-.f64 1/4 (*.f64 x (*.f64 1/4 x)))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 x))))
(/.f64 (*.f64 1 (sqrt.f64 (-.f64 1/8 (*.f64 (pow.f64 x 3) 1/8)))) (sqrt.f64 (+.f64 1/4 (+.f64 (*.f64 x (*.f64 1/4 x)) (*.f64 1/4 x)))))
(/.f64 (*.f64 1 (sqrt.f64 (-.f64 1/4 (*.f64 x (*.f64 1/4 x))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 x))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (cbrt.f64 (-.f64 1/8 (*.f64 (pow.f64 x 3) 1/8)))) (cbrt.f64 (+.f64 1/4 (+.f64 (*.f64 x (*.f64 1/4 x)) (*.f64 1/4 x)))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (cbrt.f64 (-.f64 1/4 (*.f64 x (*.f64 1/4 x))))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 x))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1/8 (*.f64 (pow.f64 x 3) 1/8)))) (sqrt.f64 (+.f64 1/4 (+.f64 (*.f64 x (*.f64 1/4 x)) (*.f64 1/4 x)))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1/4 (*.f64 x (*.f64 1/4 x))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1/8 (*.f64 (pow.f64 x 3) 1/8))) 1) (sqrt.f64 (+.f64 1/4 (+.f64 (*.f64 x (*.f64 1/4 x)) (*.f64 1/4 x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1/4 (*.f64 x (*.f64 1/4 x)))) 1) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1/8 (*.f64 (pow.f64 x 3) 1/8))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (cbrt.f64 (+.f64 1/4 (+.f64 (*.f64 x (*.f64 1/4 x)) (*.f64 1/4 x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1/4 (*.f64 x (*.f64 1/4 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 x))))
(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 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2)
(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)
(fabs.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(exp.f64 (*.f64 (log.f64 (+.f64 1/2 (*.f64 x -1/2))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
Outputs
(+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 -1/2 (PI.f64)))
(fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 -1/2 (PI.f64)))
(+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 -1/2 (PI.f64)))
(fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 -1/2 (PI.f64)))
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(sqrt.f64 (fma.f64 -1/2 x 1/2))

localize56.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.03%
(/.f64 2 (-.f64 1 x))
✓1.48%
(/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))
✓1.5%
(asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
✓12.73%
(-.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)

series3.0ms (0%)

Counts
4 → 40
Calls

12 calls:

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

rewrite159.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1094×associate-/r*
808×distribute-lft-in
716×associate-/l*
636×associate-/r/
360×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016110
135288
2459788
Stop Event
1×node limit
Counts
4 → 234
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
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(expm1.f64 (/.f64 2 (-.f64 1 x))))))))

simplify329.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
1352×associate-+l+
1216×+-commutative
932×associate-*r*
878×fma-def
782×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
062618852
1175915942
2739915676
Stop Event
1×node limit
Counts
274 → 370
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 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2) (fma.f64 (neg.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 (PI.f64) 1/2) (+.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2) 1) (fma.f64 (neg.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 (PI.f64) 1/2) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -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 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2) 1) (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 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -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 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2) 1) (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 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))) (sqrt.f64 (*.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 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2) 1) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))) (sqrt.f64 (*.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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(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 1 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2) 1)))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2)) (fma.f64 (neg.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 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -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 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -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 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))) (sqrt.f64 (*.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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(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2)) (+.f64 (fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) 2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))) (fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) 2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))))
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(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -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 (-.f64 1/2 (/.f64 x 2)))) -2))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 1 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))
(+.f64 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) (*.f64 (PI.f64) 1/2))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (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 (*.f64 (PI.f64) 1/2))) (-.f64 1 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (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 (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 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) 2))
(*.f64 (pow.f64 (cbrt.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 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.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 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (*.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))))))))
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 1)
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) 2)
(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)
(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)))))))
(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 1 (*.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 (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))))))
(-.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 (sqrt.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (sqrt.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))
(*.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 -1 (/.f64 -1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
(*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 -1 (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 (pow.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x)))) -1))
(*.f64 (/.f64 1 (neg.f64 (sqrt.f64 2))) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 -2)) (sqrt.f64 (+.f64 -1 x)))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 -1 (neg.f64 (sqrt.f64 2))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1/2 (/.f64 x 2))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (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 (sqrt.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2)
(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)
(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 (*.f64 (/.f64 2 (-.f64 1 (*.f64 x x))) 1) (*.f64 (/.f64 2 (-.f64 1 (*.f64 x x))) x))
(+.f64 (*.f64 (/.f64 2 (-.f64 1 (*.f64 x x))) x) (*.f64 (/.f64 2 (-.f64 1 (*.f64 x x))) 1))
(+.f64 (*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) 1) (*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (fma.f64 x x x)))
(+.f64 (*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (fma.f64 x x x)) (*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) 1))
(+.f64 (*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (+.f64 1 (*.f64 x x))) (*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) 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 1 (*.f64 (neg.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x)))) (neg.f64 (sqrt.f64 (/.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 (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 (cbrt.f64 (/.f64 2 (-.f64 1 x))) (cbrt.f64 (pow.f64 (/.f64 2 (-.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 (pow.f64 (/.f64 2 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 2 (-.f64 1 x))))
(*.f64 -2 (/.f64 1 (+.f64 -1 x)))
(*.f64 (/.f64 1 (-.f64 1 x)) 2)
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (neg.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))
(*.f64 -1 (*.f64 (neg.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (/.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 (*.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 1 (sqrt.f64 (-.f64 1 x))) (/.f64 2 (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 2 (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 2 (-.f64 1 (*.f64 x x))) (+.f64 1 x))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (*.f64 2 (+.f64 1 x)))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 3))) (*.f64 2 (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 1 (+.f64 -1 x)) -2)
(*.f64 (/.f64 2 (neg.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (+.f64 1 x)))
(*.f64 (/.f64 2 (neg.f64 (-.f64 1 (pow.f64 x 3)))) (neg.f64 (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 2 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))) (+.f64 1 x))
(*.f64 (/.f64 2 (+.f64 1 (pow.f64 (neg.f64 x) 3))) (-.f64 (+.f64 1 (*.f64 (neg.f64 x) (neg.f64 x))) (neg.f64 x)))
(*.f64 (/.f64 1 (*.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))) -1)) (neg.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
(*.f64 (/.f64 1 (*.f64 -1 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) (neg.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
(*.f64 (/.f64 -2 (neg.f64 (-.f64 1 (*.f64 x x)))) (+.f64 1 x))
(*.f64 (/.f64 -2 (neg.f64 (-.f64 1 (pow.f64 x 3)))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (sqrt.f64 2)) (sqrt.f64 (-.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (sqrt.f64 2)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (+.f64 1 x)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (+.f64 1 x)))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (+.f64 1 x)))
(*.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (+.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 (pow.f64 (/.f64 2 (-.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 (pow.f64 (/.f64 2 (-.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))))
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 2)) (sqrt.f64 (-.f64 1 x))))))
(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 2)) (sqrt.f64 (-.f64 1 x))))))
(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 2)) (sqrt.f64 (-.f64 1 x))))))
(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 2)) (sqrt.f64 (-.f64 1 x))))))
(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 2)) (sqrt.f64 (-.f64 1 x))))))
(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 2)) (sqrt.f64 (-.f64 1 x))))))
(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 2)) (sqrt.f64 (-.f64 1 x))))))
(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 2)) (sqrt.f64 (-.f64 1 x))))))
(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 2)) (sqrt.f64 (-.f64 1 x))))))
(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 2)) (sqrt.f64 (-.f64 1 x))))))
(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 2)) (sqrt.f64 (-.f64 1 x))))))
(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 2)) (sqrt.f64 (-.f64 1 x))))))
(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 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(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 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))
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(*.f64 (/.f64 -2 (+.f64 -1 (pow.f64 x 3))) (+.f64 x (fma.f64 x x 1)))
(+.f64 (*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (fma.f64 x x x)) (*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) 1))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 -2 (+.f64 -1 (pow.f64 x 3))) (+.f64 x (fma.f64 x x 1)))
(+.f64 (*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (+.f64 1 (*.f64 x x))) (*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) x))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 -2 (+.f64 -1 (pow.f64 x 3))) (+.f64 x (fma.f64 x x 1)))
(-.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 1 (*.f64 (neg.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x)))) (neg.f64 (sqrt.f64 (/.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 (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 (cbrt.f64 (/.f64 2 (-.f64 1 x))) (cbrt.f64 (pow.f64 (/.f64 2 (-.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 (pow.f64 (/.f64 2 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 2 (-.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) (cbrt.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 2)))
(*.f64 -2 (/.f64 1 (+.f64 -1 x)))
(/.f64 -2 (+.f64 x -1))
(*.f64 (/.f64 1 (-.f64 1 x)) 2)
(/.f64 2 (-.f64 1 x))
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (neg.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))
(/.f64 2 (-.f64 1 x))
(*.f64 -1 (*.f64 (neg.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
(/.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 1 (sqrt.f64 (-.f64 1 x))) (/.f64 2 (sqrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 2 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 2 (cbrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 2 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))
(*.f64 (/.f64 2 (-.f64 1 (*.f64 x x))) (+.f64 1 x))
(/.f64 (fma.f64 2 x 2) (-.f64 1 (*.f64 x x)))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 -2 (+.f64 -1 (pow.f64 x 3))) (+.f64 x (fma.f64 x x 1)))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (*.f64 2 (+.f64 1 x)))
(/.f64 (fma.f64 2 x 2) (-.f64 1 (*.f64 x x)))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 3))) (*.f64 2 (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 -2 (+.f64 -1 (pow.f64 x 3))) (+.f64 x (fma.f64 x x 1)))
(*.f64 (/.f64 1 (+.f64 -1 x)) -2)
(/.f64 -2 (+.f64 x -1))
(*.f64 (/.f64 2 (neg.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (+.f64 1 x)))
(/.f64 (fma.f64 2 x 2) (-.f64 1 (*.f64 x x)))
(*.f64 (/.f64 2 (neg.f64 (-.f64 1 (pow.f64 x 3)))) (neg.f64 (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 -2 (+.f64 -1 (pow.f64 x 3))) (+.f64 x (fma.f64 x x 1)))
(*.f64 (/.f64 2 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))) (+.f64 1 x))
(/.f64 (fma.f64 2 x 2) (-.f64 1 (*.f64 x x)))
(*.f64 (/.f64 2 (+.f64 1 (pow.f64 (neg.f64 x) 3))) (-.f64 (+.f64 1 (*.f64 (neg.f64 x) (neg.f64 x))) (neg.f64 x)))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 -2 (+.f64 -1 (pow.f64 x 3))) (+.f64 x (fma.f64 x x 1)))
(*.f64 (/.f64 1 (*.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))) -1)) (neg.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
(neg.f64 (*.f64 (/.f64 -1 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
(/.f64 (*.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))
(*.f64 (/.f64 1 (*.f64 -1 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) (neg.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
(neg.f64 (*.f64 (/.f64 -1 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
(/.f64 (*.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))
(*.f64 (/.f64 -2 (neg.f64 (-.f64 1 (*.f64 x x)))) (+.f64 1 x))
(/.f64 (fma.f64 2 x 2) (-.f64 1 (*.f64 x x)))
(*.f64 (/.f64 -2 (neg.f64 (-.f64 1 (pow.f64 x 3)))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 -2 (+.f64 -1 (pow.f64 x 3))) (+.f64 x (fma.f64 x x 1)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (sqrt.f64 2)) (sqrt.f64 (-.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) (sqrt.f64 2))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (sqrt.f64 (-.f64 1 (pow.f64 x 3)))) (sqrt.f64 2)) (sqrt.f64 (+.f64 x (fma.f64 x x 1))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (sqrt.f64 2)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (+.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (sqrt.f64 (+.f64 1 x)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 x)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) (sqrt.f64 2))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (sqrt.f64 (-.f64 1 (pow.f64 x 3)))) (sqrt.f64 2)) (sqrt.f64 (+.f64 x (fma.f64 x x 1))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (+.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (sqrt.f64 (+.f64 1 x)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 x)))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(*.f64 (sqrt.f64 (+.f64 1 (fma.f64 x x x))) (/.f64 (/.f64 2 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 (pow.f64 x 3)))))
(/.f64 (*.f64 (/.f64 2 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x (fma.f64 x x 1)))) (sqrt.f64 (-.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (+.f64 1 x)))
(*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 2 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 x 3)))) (cbrt.f64 (+.f64 x (fma.f64 x x 1))))
(*.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (+.f64 1 x)))
(*.f64 (/.f64 2 (*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (cbrt.f64 (+.f64 1 x)))
(*.f64 (/.f64 2 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (+.f64 1 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 (pow.f64 (/.f64 2 (-.f64 1 x)) 2) 1/2)
(sqrt.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 2))
(fabs.f64 (/.f64 2 (-.f64 1 x)))
(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 (pow.f64 (/.f64 2 (-.f64 1 x)) 2))
(fabs.f64 (/.f64 2 (-.f64 1 x)))
(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))

localize74.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.04%
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2)
✓0.05%
(/.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 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
1.5%
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
12.75%
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2)))
Compiler

Compiled 124 to 106 computations (14.5% saved)

series4.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
1.0ms
x
@-inf
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
1.0ms
x
@0
(/.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 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
0.0ms
x
@0
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2)
0.0ms
x
@-inf
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2)

rewrite105.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1726×associate-/r*
502×add-sqr-sqrt
490×*-un-lft-identity
486×pow1
470×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023122
1503118
26517118
Stop Event
1×node limit
Counts
2 → 54
Calls
Call 1
Inputs
(/.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 (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
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (neg.f64 (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 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simplify193.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1262×associate-+l+
614×associate-*r/
552×associate-/l*
532×distribute-lft-neg-in
510×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01695824
13835246
213125246
355635246
Stop Event
1×node limit
Counts
78 → 78
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))
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(*.f64 1 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4)))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(*.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4)) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))
(*.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(*.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4))
(log.f64 (exp.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))
(exp.f64 (log.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))
Outputs
(/.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 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4)) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (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 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4)) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (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 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4)) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (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 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4)) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (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 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4)) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (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 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4)) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (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 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4)) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (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 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4)) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (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 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4)) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (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 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4)) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (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 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4)) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (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 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4)) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (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 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 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 x -1/2)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 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 x -1/2)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 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 x -1/2)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 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 x -1/2)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 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 x -1/2)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 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 x -1/2)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 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 x -1/2)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 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 x -1/2)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 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 x -1/2)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 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 x -1/2)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 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 x -1/2)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (neg.f64 (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4)) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (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 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))
(+.f64 (neg.f64 (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4)) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (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 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (*.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4)) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (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 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))
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(/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4)) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (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 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4)) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4)) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (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 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) 1)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)
(*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (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)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 1)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)
(*.f64 1 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4)))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (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 (+.f64 1/2 (*.f64 x -1/2))))) 2) (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)
(*.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4)) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4)))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (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 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)
(*.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4))
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)
(log.f64 (exp.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))))
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)
(cbrt.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 3))
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)
(exp.f64 (log.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) 1))
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)
(log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)

localize146.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.5%
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
✓1.52%
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
12.73%
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))
✓91.76%
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 2 (log.f64 (exp.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
Compiler

Compiled 244 to 215 computations (11.9% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite82.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
932×associate-*r/
830×associate-*l/
652×distribute-lft-in
398×add-sqr-sqrt
394×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
023120
148368
2494046
Stop Event
1×node limit
Counts
2 → 72
Calls
Call 1
Inputs
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 2 (log.f64 (exp.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
Outputs
((#(struct:change #<rule egg-rr> (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (-.f64 1 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (exp.f64 (log1p.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (sqrt.f64 (*.f64 2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (cbrt.f64 (pow.f64 (*.f64 2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2)) (cbrt.f64 (*.f64 2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (-.f64 (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.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 (*.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 2 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3))) (-.f64 (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.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 (*.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 0 (*.f64 2 (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))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 0 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2)) (*.f64 2 (sqrt.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 0 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) 1) (-.f64 (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 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simplify60.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
338×associate-*r*
272×associate-*l*
210×unswap-sqr
148×fma-def
136×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01956024
14896024
229156024
Stop Event
1×unsound
Counts
96 → 81
Calls
Call 1
Inputs
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 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) (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) (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) (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)))))))
(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 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 (*.f64 2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (-.f64 1 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (exp.f64 (log1p.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 1)
(*.f64 2 (*.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))))) (*.f64 2 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (*.f64 2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1)
(*.f64 1 (*.f64 2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (sqrt.f64 (*.f64 2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (sqrt.f64 (*.f64 2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (cbrt.f64 (*.f64 2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (cbrt.f64 (pow.f64 (*.f64 2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2)) (cbrt.f64 (*.f64 2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (*.f64 2 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (-.f64 (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)))
(/.f64 (-.f64 (*.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 (*.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 1 (*.f64 2 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3))) (-.f64 (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)))
(/.f64 (*.f64 1 (-.f64 (*.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 (*.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 (-.f64 0 (*.f64 2 (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))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(/.f64 (*.f64 (-.f64 0 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2)) (*.f64 2 (sqrt.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 0 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(/.f64 (*.f64 (*.f64 2 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) 1) (-.f64 (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)))
(/.f64 (*.f64 (-.f64 (*.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)) 1) (-.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))))))
(pow.f64 (*.f64 2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1)
(pow.f64 (sqrt.f64 (*.f64 2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 2)
(pow.f64 (cbrt.f64 (*.f64 2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 3)
(pow.f64 (pow.f64 (*.f64 2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2))
(log.f64 (exp.f64 (*.f64 2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(cbrt.f64 (pow.f64 (*.f64 2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 3))
(expm1.f64 (log1p.f64 (*.f64 2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(exp.f64 (log.f64 (*.f64 2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 1))
(log1p.f64 (expm1.f64 (*.f64 2 (*.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))) 0)
(+.f64 0 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(+.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 1 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 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 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))) (log.f64 (cbrt.f64 (exp.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)))) (*.f64 1/2 (PI.f64)))
(+.f64 (+.f64 0 (*.f64 1/2 (PI.f64))) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (+.f64 0 (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 0 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)))) (log.f64 (cbrt.f64 (exp.f64 (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 (*.f64 1 (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (*.f64 1 (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(+.f64 (*.f64 1 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)))) (*.f64 1 (log.f64 (cbrt.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 (+.f64 0 (*.f64 1/2 (PI.f64))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 1)
(*.f64 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 (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 (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 (-.f64 (*.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.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 1/2 (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)) (+.f64 (+.f64 (*.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.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 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.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 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))) (+.f64 (+.f64 (*.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.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 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1) (+.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 1) (+.f64 (+.f64 (*.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.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 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 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 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)
(sqrt.f64 (pow.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))) 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)))))
(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 2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 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 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 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 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 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 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 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)))))))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 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)))))))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 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)))))))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 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)))))))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 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)))))))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 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)))))))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 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)))))))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 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)))))))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 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)))))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 1)
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
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(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 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))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 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)))))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(/.f64 (-.f64 (*.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.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 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 (PI.f64) (PI.f64))) (*.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 1/2 (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)) (+.f64 (+.f64 (*.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.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 1/2 (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)) (+.f64 (*.f64 1/4 (*.f64 (PI.f64) (PI.f64))) (+.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 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.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 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 (PI.f64) (PI.f64))) (*.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 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))) (+.f64 (+.f64 (*.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.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 1/2 (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)) (+.f64 (*.f64 1/4 (*.f64 (PI.f64) (PI.f64))) (+.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 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1) (+.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 (PI.f64) (PI.f64))) (*.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 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 1) (+.f64 (+.f64 (*.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.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 1/2 (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)) (+.f64 (*.f64 1/4 (*.f64 (PI.f64) (PI.f64))) (+.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 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)
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 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)
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 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)
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 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)
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 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))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (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))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 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)))))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 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)))))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 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))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 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)))))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(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 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))

localize249.0ms (1.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓1.5%
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
1.52%
(*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
1.53%
(cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
✓12.75%
(fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4))
Compiler

Compiled 291 to 250 computations (14.1% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite96.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
622×distribute-rgt-in
568×distribute-lft-in
542×associate-*r/
460×associate-*l/
402×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02070
141362
2463462
Stop Event
1×node limit
Counts
2 → 65
Calls
Call 1
Inputs
(fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.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))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 1) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 1)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 1) 1) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.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))) (sqrt.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.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))) (cbrt.f64 (pow.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)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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)) 2)) (cbrt.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (*.f64 16 (pow.f64 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(fma.f64 x -1/2 1/2)))))))))

simplify190.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1318×associate-*r/
926×unswap-sqr
714×fma-def
666×distribute-lft-in
656×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01763979
14433805
216953741
363453741
Stop Event
1×node limit
Counts
89 → 88
Calls
Call 1
Inputs
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(+.f64 (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (*.f64 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)))
(+.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 (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 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 1))
(+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))
(+.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 1) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))
(+.f64 (*.f64 1 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 1)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))
(+.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 1) 1) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))
(-.f64 (exp.f64 (log1p.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)))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))) (-.f64 1 (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(-.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (exp.f64 (log1p.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4)))) 1)
(-.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 1) (exp.f64 (log1p.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4)))) 1)
(*.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)) 1)
(*.f64 1 (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)))
(*.f64 (sqrt.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))) (sqrt.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))))
(*.f64 (cbrt.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))) (cbrt.f64 (pow.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)) 2)))
(*.f64 (cbrt.f64 (pow.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)) 2)) (cbrt.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))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4)))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4) 3) (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 3)) (+.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (-.f64 (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4)))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)))) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4)))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4) 3) (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 3))) (+.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (-.f64 (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) 1) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4) 3) (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 3)) 1) (+.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (-.f64 (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4)))))
(pow.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)) 1)
(pow.f64 (sqrt.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))) 2)
(pow.f64 (cbrt.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))) 3)
(pow.f64 (pow.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)) 3) 1/3)
(sqrt.f64 (pow.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)) 2))
(log.f64 (exp.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))))
(log.f64 (+.f64 1 (expm1.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)))))
(cbrt.f64 (pow.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)) 3))
(expm1.f64 (log1p.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))))
(exp.f64 (log.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))))
(exp.f64 (*.f64 (log.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))) 1))
(log1p.f64 (expm1.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))))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.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)))) (*.f64 (PI.f64) 1/2))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(+.f64 (*.f64 (*.f64 (PI.f64) 1/2) 1) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1)
(*.f64 (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 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (pow.f64 (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 (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 (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 (*.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)))))
(/.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 (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 1 (-.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)))))
(/.f64 (*.f64 1 (-.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 (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 (*.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))))) 1) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 1) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(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 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 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)
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(fabs.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
Outputs
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.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 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.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 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.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 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (*.f64 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 -1/2 x 1/2))) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (*.f64 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 -1/2 x 1/2))) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (*.f64 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 -1/2 x 1/2))) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (*.f64 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 -1/2 x 1/2))) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.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 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.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 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.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 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.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 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.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 (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 1/4 (pow.f64 (PI.f64) 2) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.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 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 1))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
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(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(log.f64 (exp.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 1/4 (pow.f64 (PI.f64) 2) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(log.f64 (+.f64 1 (expm1.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 1/4 (pow.f64 (PI.f64) 2) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(cbrt.f64 (pow.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)) 3))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(expm1.f64 (log1p.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 1/4 (pow.f64 (PI.f64) 2) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(exp.f64 (log.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 1/4 (pow.f64 (PI.f64) 2) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(exp.f64 (*.f64 (log.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))) 1))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(log1p.f64 (expm1.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 1/4 (pow.f64 (PI.f64) 2) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(+.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (PI.f64) 1/2))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(+.f64 (*.f64 (*.f64 (PI.f64) 1/2) 1) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1)
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1)
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(*.f64 1 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 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))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 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 (sqrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4))) (fabs.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (sqrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4))))
(/.f64 (-.f64 (*.f64 (*.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)))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(/.f64 (*.f64 1 (-.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)))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(/.f64 (*.f64 1 (-.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 (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 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(/.f64 (*.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))))) 1) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 1) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1)
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 1/2)
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 1/3)
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(fabs.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))

eval2.1s (8.9%)

Compiler

Compiled 65825 to 57657 computations (12.4% saved)

prune516.0ms (2.2%)

Pruning

56 alts after pruning (53 fresh and 3 done)

PrunedKeptTotal
New1335341369
Fresh171936
Picked101
Done336
Total1356561412
Error
89.91%
Counts
1412 → 56
Alt Table
Click to see full alt table
StatusErrorProgram
93.49%
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2) (cbrt.f64 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 (PI.f64) -1/2))
▶93.33%
(fma.f64 (sqrt.f64 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (sqrt.f64 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 (PI.f64) -1/2))
98.85%
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2)) 3) 1/3)
93.63%
(pow.f64 (pow.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) -1/2)) 3) 1/3)
98.85%
(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))) 2)
93.31%
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))) 3)
93.31%
(/.f64 (fma.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16)) (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4)) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
93.32%
(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (*.f64 64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 3))) (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))))) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
98.84%
(/.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4))) (sqrt.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (*.f64 64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 3))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2)))))) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
98.84%
(/.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (*.f64 -64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 3)))))) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
93.32%
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (*.f64 64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) 3))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (+.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)) 1/16) (*.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))))))
▶93.32%
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (*.f64 64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 3))) (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
93.33%
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4))) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
93.44%
(/.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))) (cbrt.f64 (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4))) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2)))) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
93.29%
(/.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4)) (fma.f64 (neg.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))))) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
93.29%
(/.f64 (/.f64 (+.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 6) -64)) (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3) 8))) (+.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) 4)) (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
98.84%
(/.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4))) (sqrt.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (*.f64 64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 3))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2)))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
98.84%
(/.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (*.f64 -64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 3)))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
98.86%
(/.f64 (/.f64 (exp.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16 (*.f64 (pow.f64 (PI.f64) 4) 1/16)) (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 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
▶93.28%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
93.32%
(/.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 (PI.f64) 1/2 (*.f64 2 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))))
93.33%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4)))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
93.31%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (log.f64 (exp.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
92%
(/.f64 (-.f64 (*.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) (*.f64 (*.f64 -1/8 (pow.f64 (PI.f64) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3)))) (*.f64 (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 (PI.f64) -1/2) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (-.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3)))))
93.32%
(/.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))))
92.03%
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
93.29%
(/.f64 (-.f64 (*.f64 1/16 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2))) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 4)) (*.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))))
93.44%
(/.f64 (+.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))) (cbrt.f64 (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4))) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2)))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
93.28%
(/.f64 (+.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4)) (fma.f64 (neg.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))))) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
91.98%
(/.f64 (+.f64 (*.f64 512 (pow.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3) 3)) (*.f64 -1/512 (pow.f64 (pow.f64 (PI.f64) 3) 3))) (*.f64 (fma.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2) (*.f64 (PI.f64) (*.f64 -1/2 (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))) (+.f64 (*.f64 64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3))) (*.f64 (*.f64 -1/8 (pow.f64 (PI.f64) 3)) (-.f64 (*.f64 -1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3)))))))
92%
(/.f64 (+.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 (PI.f64) -1/2) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
▶91.98%
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) 3) (pow.f64 (*.f64 -1/8 (pow.f64 (PI.f64) 3)) 3)) (/.f64 1 (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 (PI.f64) -1/2) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))) (+.f64 (*.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) (-.f64 (*.f64 (*.f64 -1/8 (pow.f64 (PI.f64) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))) (*.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))))))
92%
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3)))) (cbrt.f64 (+.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))))) (/.f64 (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 (PI.f64) -1/2) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (cbrt.f64 (+.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))))))
93.61%
(/.f64 (sqrt.f64 (+.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3)))) (/.f64 (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 (PI.f64) -1/2) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (sqrt.f64 (+.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))))))
94.97%
(/.f64 (fabs.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 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
98.86%
(/.f64 (exp.f64 (log.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4)))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
95.87%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
✓93.3%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓95.73%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
93.59%
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (+.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 0)) (neg.f64 (*.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))))))))))
93.51%
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2)) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
93.59%
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2)) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 2 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1)))))
93.43%
(+.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 2 (log.f64 (exp.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))
93.49%
(+.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
✓92.02%
(+.f64 (*.f64 2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (PI.f64) -1/2))
▶94.62%
(+.f64 (*.f64 2 (acos.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) -1/2))
93.34%
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))))
92.04%
(log.f64 (exp.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) -1/2))))
93.34%
(log.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4)) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
98.85%
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))))
93.35%
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2)) -2)) 3))
93.31%
(cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) 3) 3))
93.32%
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 4)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3))
93.28%
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/8)) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (-.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 1/2 (PI.f64)))))) 3))
93.3%
(cbrt.f64 (pow.f64 (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2)) 3))
93.3%
(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 3)) 3))
Compiler

Compiled 5374 to 4850 computations (9.8% saved)

localize235.0ms (1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓1.56%
(*.f64 (*.f64 -1/8 (pow.f64 (PI.f64) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3)))
✓1.56%
(pow.f64 (PI.f64) 3)
✓1.58%
(pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)
✓12.31%
(+.f64 (pow.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) 3) (pow.f64 (*.f64 -1/8 (pow.f64 (PI.f64) 3)) 3))
Compiler

Compiled 516 to 452 computations (12.4% saved)

series6.0ms (0%)

Counts
4 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@0
(+.f64 (pow.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) 3) (pow.f64 (*.f64 -1/8 (pow.f64 (PI.f64) 3)) 3))
1.0ms
x
@-inf
(+.f64 (pow.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) 3) (pow.f64 (*.f64 -1/8 (pow.f64 (PI.f64) 3)) 3))
1.0ms
x
@inf
(+.f64 (pow.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) 3) (pow.f64 (*.f64 -1/8 (pow.f64 (PI.f64) 3)) 3))
0.0ms
x
@0
(pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)
0.0ms
x
@inf
(pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)

rewrite111.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1000×associate-*r/
484×add-sqr-sqrt
462×*-un-lft-identity
456×add-cbrt-cube
456×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023122
151692
2617292
Stop Event
1×node limit
Counts
4 → 119
Calls
Call 1
Inputs
(+.f64 (pow.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) 3) (pow.f64 (*.f64 -1/8 (pow.f64 (PI.f64) 3)) 3))
(pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)
(pow.f64 (PI.f64) 3)
(*.f64 (*.f64 -1/8 (pow.f64 (PI.f64) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 9) (*.f64 -1/512 (pow.f64 (PI.f64) 9))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9)))) (-.f64 1 (*.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 9)))) (-.f64 1 (*.f64 -1/512 (pow.f64 (PI.f64) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 6) (fma.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 9) (neg.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9))))) (/.f64 (pow.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9)) 2) (fma.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 9) (neg.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9))))))))) (#(struct:change #<rule 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(fma.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 9) (*.f64 -1/512 (pow.f64 (PI.f64) 9)))) (pow.f64 (cbrt.f64 (fma.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 9) (*.f64 -1/512 (pow.f64 (PI.f64) 9)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 9) (*.f64 -1/512 (pow.f64 (PI.f64) 9)))) 2) (cbrt.f64 (fma.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 9) (*.f64 -1/512 (pow.f64 (PI.f64) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 6) (pow.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9)) 2)) (/.f64 1 (fma.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 9) (neg.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6)) (*.f64 (*.f64 -1/8 (pow.f64 (PI.f64) 3)) (-.f64 (*.f64 -1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))))) (fma.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (*.f64 -1/8 (pow.f64 (PI.f64) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (*.f64 -1/8 (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6)) (*.f64 (*.f64 -1/8 (pow.f64 (PI.f64) 3)) (-.f64 (*.f64 -1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 134217728 (pow.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 9) 3)) (*.f64 -1/134217728 (pow.f64 (pow.f64 (PI.f64) 9) 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 6) (*.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9)) (-.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9)) (*.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 9)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 9) (neg.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9)))) (-.f64 (pow.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 6) (pow.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 6) (*.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9)) (-.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9)) (*.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 9))))) (+.f64 (*.f64 134217728 (pow.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 9) 3)) (*.f64 -1/134217728 (pow.f64 (pow.f64 (PI.f64) 9) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 6) (pow.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9)) 2)) (fma.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 9) (neg.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 134217728 (pow.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 9) 3)) (*.f64 -1/134217728 (pow.f64 (pow.f64 (PI.f64) 9) 3))) (+.f64 (pow.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 6) (*.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9)) (-.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9)) (*.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 9))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9)) 2) (pow.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 6)) (-.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9)) (*.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 6) (pow.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 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simplify107.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1474×unswap-sqr
742×associate-/l*
640×associate-*l*
624×associate-*r*
620×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03408703
18618331
235658283
Stop Event
1×node limit
Counts
143 → 186
Calls
Call 1
Inputs
(+.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9)) (*.f64 512 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) 5) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 4))))
(+.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9)) (*.f64 512 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) 5) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 4))))
(+.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9)) (*.f64 512 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) 5) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 4))))
(+.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9)) (*.f64 512 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) 5) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 4))))
(+.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9)) (*.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 9)))
(+.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9)) (*.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 9)))
(+.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9)) (*.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 9)))
(+.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9)) (*.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 9)))
(+.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9)) (*.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 9)))
(+.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9)) (*.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 9)))
(+.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9)) (*.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 9)))
(+.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9)) (*.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 9)))
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(*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) 2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) 2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
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(pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)
(pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)
(pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)
(pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)
(pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3)
(pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3)
(pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3)
(pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3)
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(/.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.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 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.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 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (asin.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 (*.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 1) (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.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 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (*.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 1) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.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 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (asin.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 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) 3) (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.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 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) 3) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.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 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (asin.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)))))))
(sqrt.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6))
(log.f64 (exp.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))))
(cbrt.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 9))
(expm1.f64 (log1p.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)))
(exp.f64 (log.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1)
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 (PI.f64) 3) 1)
(*.f64 1 (pow.f64 (PI.f64) 3))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1) (PI.f64))
(*.f64 (*.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) 3) (PI.f64))
(sqrt.f64 (pow.f64 (PI.f64) 6))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 3))))
(cbrt.f64 (pow.f64 (PI.f64) 9))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(exp.f64 (*.f64 3 (log.f64 (PI.f64))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (PI.f64))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64))) 1)
(pow.f64 (*.f64 -1/8 (pow.f64 (PI.f64) 3)) 2)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) 1)
(pow.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) 3)
(pow.f64 (pow.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9)) 2) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) 2))
(log.f64 (pow.f64 (exp.f64 1/64) (pow.f64 (PI.f64) 6)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64))))
(cbrt.f64 (pow.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9)) 2))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64)))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/8 (pow.f64 (PI.f64) 3))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64)))
Outputs
(+.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9)) (*.f64 512 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) 5) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 4))))
(fma.f64 -1/512 (pow.f64 (PI.f64) 9) (*.f64 (*.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 5)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4)))
(fma.f64 -1/512 (pow.f64 (PI.f64) 9) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 5) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) 512)))
(+.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9)) (*.f64 512 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) 5) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 4))))
(fma.f64 -1/512 (pow.f64 (PI.f64) 9) (*.f64 (*.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 5)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4)))
(fma.f64 -1/512 (pow.f64 (PI.f64) 9) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 5) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) 512)))
(+.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9)) (*.f64 512 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) 5) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 4))))
(fma.f64 -1/512 (pow.f64 (PI.f64) 9) (*.f64 (*.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 5)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4)))
(fma.f64 -1/512 (pow.f64 (PI.f64) 9) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 5) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) 512)))
(+.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9)) (*.f64 512 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) 5) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 4))))
(fma.f64 -1/512 (pow.f64 (PI.f64) 9) (*.f64 (*.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 5)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4)))
(fma.f64 -1/512 (pow.f64 (PI.f64) 9) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 5) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) 512)))
(+.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9)) (*.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 9)))
(fma.f64 -1/512 (pow.f64 (PI.f64) 9) (*.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 9)))
(fma.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 9) (*.f64 -1/512 (pow.f64 (PI.f64) 9)))
(+.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9)) (*.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 9)))
(fma.f64 -1/512 (pow.f64 (PI.f64) 9) (*.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 9)))
(fma.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 9) (*.f64 -1/512 (pow.f64 (PI.f64) 9)))
(+.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9)) (*.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 9)))
(fma.f64 -1/512 (pow.f64 (PI.f64) 9) (*.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 9)))
(fma.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 9) (*.f64 -1/512 (pow.f64 (PI.f64) 9)))
(+.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9)) (*.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 9)))
(fma.f64 -1/512 (pow.f64 (PI.f64) 9) (*.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 9)))
(fma.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 9) (*.f64 -1/512 (pow.f64 (PI.f64) 9)))
(+.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9)) (*.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 9)))
(fma.f64 -1/512 (pow.f64 (PI.f64) 9) (*.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 9)))
(fma.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 9) (*.f64 -1/512 (pow.f64 (PI.f64) 9)))
(+.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9)) (*.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 9)))
(fma.f64 -1/512 (pow.f64 (PI.f64) 9) (*.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 9)))
(fma.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 9) (*.f64 -1/512 (pow.f64 (PI.f64) 9)))
(+.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9)) (*.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 9)))
(fma.f64 -1/512 (pow.f64 (PI.f64) 9) (*.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 9)))
(fma.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 9) (*.f64 -1/512 (pow.f64 (PI.f64) 9)))
(+.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9)) (*.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 9)))
(fma.f64 -1/512 (pow.f64 (PI.f64) 9) (*.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 9)))
(fma.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 9) (*.f64 -1/512 (pow.f64 (PI.f64) 9)))
(*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) 2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)
(*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) 2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)
(*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) 2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)
(*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) 2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)
(pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)
(pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)
(pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)
(pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)
(pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)
(pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)
(pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)
(pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)
(pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3)
(pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)
(pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3)
(pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)
(pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3)
(pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)
(pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3)
(pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 9) (*.f64 -1/512 (pow.f64 (PI.f64) 9))))) 1)
(fma.f64 -1/512 (pow.f64 (PI.f64) 9) (*.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 9)))
(fma.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 9) (*.f64 -1/512 (pow.f64 (PI.f64) 9)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9)))) (-.f64 1 (*.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 9))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9)))) 1) (*.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 9)))
(fma.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 9) (expm1.f64 (log1p.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 9)))) (-.f64 1 (*.f64 -1/512 (pow.f64 (PI.f64) 9))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 9)))) (+.f64 1 (*.f64 1/512 (pow.f64 (PI.f64) 9))))
(fma.f64 -1/512 (pow.f64 (PI.f64) 9) (expm1.f64 (log1p.f64 (*.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 9)))))
(-.f64 (/.f64 (pow.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 6) (fma.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 9) (neg.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9))))) (/.f64 (pow.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9)) 2) (fma.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 9) (neg.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9))))))
(/.f64 (-.f64 (pow.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)) 6) (pow.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9)) 2)) (fma.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 9) (*.f64 1/512 (pow.f64 (PI.f64) 9))))
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(/.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(*.f64 (/.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(/.f64 (*.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 1) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.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 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (asin.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 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (fma.f64 (PI.f64) 1/2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3))))
(/.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (fma.f64 (PI.f64) 1/2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(*.f64 (/.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (fma.f64 (PI.f64) 1/2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)))
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) 3) (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.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 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(*.f64 (/.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) 3) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.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 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (asin.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 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (fma.f64 (PI.f64) 1/2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3))))
(/.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (fma.f64 (PI.f64) 1/2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(*.f64 (/.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (fma.f64 (PI.f64) 1/2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)))
(sqrt.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6))
(sqrt.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 6))
(fabs.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3))
(log.f64 (exp.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)))
(pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))))
(pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)
(cbrt.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 9))
(cbrt.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 9))
(expm1.f64 (log1p.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)))
(pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)
(exp.f64 (log.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)))
(pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)
(exp.f64 (*.f64 (log.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 1))
(pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)
(log1p.f64 (expm1.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)))
(pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1)
(pow.f64 (PI.f64) 3)
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (PI.f64) 3) 1)
(pow.f64 (PI.f64) 3)
(*.f64 1 (pow.f64 (PI.f64) 3))
(pow.f64 (PI.f64) 3)
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(pow.f64 (PI.f64) 3)
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) 4))
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(pow.f64 (PI.f64) 3)
(*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1) (PI.f64))
(pow.f64 (PI.f64) 3)
(*.f64 (*.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 3)
(*.f64 (*.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) 4))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) 3) (PI.f64))
(pow.f64 (PI.f64) 3)
(sqrt.f64 (pow.f64 (PI.f64) 6))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 3))))
(pow.f64 (PI.f64) 3)
(cbrt.f64 (pow.f64 (PI.f64) 9))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(exp.f64 (*.f64 3 (log.f64 (PI.f64))))
(pow.f64 (PI.f64) 3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (PI.f64))) 1))
(pow.f64 (PI.f64) 3)
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64))) 1)
(*.f64 (pow.f64 (PI.f64) 6) 1/64)
(pow.f64 (*.f64 -1/8 (pow.f64 (PI.f64) 3)) 2)
(*.f64 (pow.f64 (PI.f64) 6) 1/64)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) 1)
(*.f64 (pow.f64 (PI.f64) 6) 1/64)
(pow.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) 3)
(*.f64 (pow.f64 (PI.f64) 6) 1/64)
(pow.f64 (pow.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9)) 2) 1/3)
(cbrt.f64 (pow.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9)) 2))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 18) 1/262144))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) 2))
(fabs.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64))
(log.f64 (pow.f64 (exp.f64 1/64) (pow.f64 (PI.f64) 6)))
(*.f64 (pow.f64 (PI.f64) 6) 1/64)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64))))
(*.f64 (pow.f64 (PI.f64) 6) 1/64)
(cbrt.f64 (pow.f64 (*.f64 -1/512 (pow.f64 (PI.f64) 9)) 2))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 18) 1/262144))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64)))
(*.f64 (pow.f64 (PI.f64) 6) 1/64)
(exp.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64)))
(*.f64 (pow.f64 (PI.f64) 6) 1/64)
(exp.f64 (*.f64 (log.f64 (*.f64 -1/8 (pow.f64 (PI.f64) 3))) 2))
(*.f64 (pow.f64 (PI.f64) 6) 1/64)
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64)) 1))
(*.f64 (pow.f64 (PI.f64) 6) 1/64)
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64)))
(*.f64 (pow.f64 (PI.f64) 6) 1/64)

localize19.0ms (0.1%)

Compiler

Compiled 27 to 25 computations (7.4% saved)

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.01%
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
✓0.04%
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
✓1.48%
(sqrt.f64 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
✓88.79%
(fma.f64 (sqrt.f64 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (sqrt.f64 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 (PI.f64) -1/2))
Compiler

Compiled 73 to 62 computations (15.1% saved)

series4.0ms (0%)

Counts
4 → 40
Calls

12 calls:

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

rewrite249.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
996×swap-sqr
622×distribute-rgt-in
574×distribute-lft-in
538×associate-*r/
482×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018110
136690
2425690
Stop Event
1×node limit
Counts
4 → 117
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (sqrt.f64 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 (PI.f64) -1/2))
(sqrt.f64 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
Outputs
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simplify270.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1020×fma-def
994×unswap-sqr
738×+-commutative
704×*-commutative
696×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03155789
16715265
222965237
373355237
Stop Event
1×node limit
Counts
157 → 176
Calls
Call 1
Inputs
(+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 (pow.f64 (sqrt.f64 2) 2) (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))))
(+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 (pow.f64 (sqrt.f64 2) 2) (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))))
(+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 (pow.f64 (sqrt.f64 2) 2) (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))))
(+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 (pow.f64 (sqrt.f64 2) 2) (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))))
(+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 (pow.f64 (sqrt.f64 2) 2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 (pow.f64 (sqrt.f64 2) 2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 (pow.f64 (sqrt.f64 2) 2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 (pow.f64 (sqrt.f64 2) 2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 (pow.f64 (sqrt.f64 2) 2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 (pow.f64 (sqrt.f64 2) 2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 (pow.f64 (sqrt.f64 2) 2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 (pow.f64 (sqrt.f64 2) 2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
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(exp.f64 (*.f64 (log.f64 (fma.f64 x -1/2 1/2)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
Outputs
(+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 (pow.f64 (sqrt.f64 2) 2) (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))))
(fma.f64 -1/2 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 2) 2) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 -1/2 (PI.f64) (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 (pow.f64 (sqrt.f64 2) 2) (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))))
(fma.f64 -1/2 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 2) 2) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 -1/2 (PI.f64) (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 (pow.f64 (sqrt.f64 2) 2) (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))))
(fma.f64 -1/2 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 2) 2) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 -1/2 (PI.f64) (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 (pow.f64 (sqrt.f64 2) 2) (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))))
(fma.f64 -1/2 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 2) 2) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 -1/2 (PI.f64) (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 (pow.f64 (sqrt.f64 2) 2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 -1/2 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 2) 2) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 -1/2 (PI.f64) (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 (pow.f64 (sqrt.f64 2) 2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 -1/2 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 2) 2) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 -1/2 (PI.f64) (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 (pow.f64 (sqrt.f64 2) 2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 -1/2 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 2) 2) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 -1/2 (PI.f64) (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 (pow.f64 (sqrt.f64 2) 2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 -1/2 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 2) 2) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 -1/2 (PI.f64) (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 (pow.f64 (sqrt.f64 2) 2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 -1/2 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 2) 2) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 -1/2 (PI.f64) (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 (pow.f64 (sqrt.f64 2) 2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 -1/2 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 2) 2) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 -1/2 (PI.f64) (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 (pow.f64 (sqrt.f64 2) 2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 -1/2 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 2) 2) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 -1/2 (PI.f64) (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 (pow.f64 (sqrt.f64 2) 2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 -1/2 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 2) 2) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 -1/2 (PI.f64) (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))
(acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))
(acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))
(acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))
(acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 -1/2 x 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))))
(fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (fma.f64 -1/16 (/.f64 (*.f64 x 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 (*.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 (*.f64 -1/128 (pow.f64 x 3)) (pow.f64 (sqrt.f64 1/2) 5))) (*.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 1/2)))))
(fma.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 1/2)) (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (fma.f64 -1/128 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5)) (sqrt.f64 1/2))))
(+.f64 (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 -1/2 (PI.f64)))
(fma.f64 -1/2 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 2) 2) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 -1/2 (PI.f64) (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -1/2 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 2) 2) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 -1/2 (PI.f64) (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (PI.f64)))) (-.f64 1 (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 -1/2 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 2) 2) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 -1/2 (PI.f64) (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 -1/2 (PI.f64))))) 1)
(fma.f64 -1/2 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 2) 2) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 -1/2 (PI.f64) (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (-.f64 1 (*.f64 -1/2 (PI.f64))))
(fma.f64 -1/2 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 2) 2) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 -1/2 (PI.f64) (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(-.f64 (+.f64 (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (exp.f64 (log1p.f64 (*.f64 -1/2 (PI.f64))))) 1)
(fma.f64 -1/2 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 2) 2) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 -1/2 (PI.f64) (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(-.f64 (+.f64 (*.f64 -1/2 (PI.f64)) (exp.f64 (log1p.f64 (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 1)
(fma.f64 -1/2 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 2) 2) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 -1/2 (PI.f64) (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(*.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 -1/2 (PI.f64))) 1)
(fma.f64 -1/2 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 2) 2) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 -1/2 (PI.f64) (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(*.f64 1 (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 -1/2 (PI.f64))))
(fma.f64 -1/2 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 2) 2) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 -1/2 (PI.f64) (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(*.f64 (sqrt.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 -1/2 (PI.f64)))) (sqrt.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 -1/2 (PI.f64)))))
(fma.f64 -1/2 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 2) 2) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 -1/2 (PI.f64) (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(*.f64 (cbrt.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 -1/2 (PI.f64)))) (pow.f64 (cbrt.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 -1/2 (PI.f64)))) 2))
(fma.f64 -1/2 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 2) 2) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 -1/2 (PI.f64) (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 -1/2 (PI.f64)))) 2) (cbrt.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 -1/2 (PI.f64)))))
(fma.f64 -1/2 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 2) 2) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 -1/2 (PI.f64) (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64))))
(/.f64 (+.f64 (pow.f64 (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 2) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2)))
(/.f64 (fma.f64 -1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4)) (fma.f64 (PI.f64) 1/2 (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(/.f64 (fma.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 (PI.f64) 1/2)))
(/.f64 (+.f64 (pow.f64 (*.f64 -1/2 (PI.f64)) 3) (pow.f64 (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (+.f64 (pow.f64 (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (*.f64 (*.f64 -1/2 (PI.f64)) (-.f64 (*.f64 -1/2 (PI.f64)) (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
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(cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1/2) 3/2))
(fabs.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(sqrt.f64 (fma.f64 -1/2 x 1/2))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(sqrt.f64 (fma.f64 -1/2 x 1/2))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(sqrt.f64 (fma.f64 -1/2 x 1/2))
(cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1/2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(sqrt.f64 (fma.f64 -1/2 x 1/2))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(sqrt.f64 (fma.f64 -1/2 x 1/2))
(exp.f64 (*.f64 (log.f64 (fma.f64 x -1/2 1/2)) 1/2))
(sqrt.f64 (fma.f64 -1/2 x 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1))
(sqrt.f64 (fma.f64 -1/2 x 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(sqrt.f64 (fma.f64 -1/2 x 1/2))

localize552.0ms (2.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.5%
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓1.55%
(pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 3)
1.56%
(pow.f64 (PI.f64) 3)
✓12.55%
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 3))
Compiler

Compiled 190 to 162 computations (14.7% saved)

series19.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
11.0ms
x
@0
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 3))
7.0ms
x
@inf
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 3))
1.0ms
x
@-inf
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 3))
0.0ms
x
@0
(pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 3)
0.0ms
x
@-inf
(pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 3)

rewrite176.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1000×associate-*r/
854×associate-*l/
406×add-sqr-sqrt
390×*-un-lft-identity
386×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01986
142082
2502382
Stop Event
1×node limit
Counts
2 → 152
Calls
Call 1
Inputs
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 3))
(pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 3)
Outputs
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simplify422.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
1726×associate-/r*
810×associate-+r+
798×associate-+l+
708×associate-*r/
618×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039718774
1106813840
2466013840
Stop Event
1×node limit
Counts
176 → 218
Calls
Call 1
Inputs
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3)))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3)))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3)))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3)))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3))
(+.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 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (*.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) 1))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (*.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (fma.f64 (neg.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 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (*.f64 (*.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) 1) (fma.f64 (neg.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 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (*.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (fma.f64 (*.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) 1 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (*.f64 (*.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) 1) (fma.f64 (*.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) 1 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (*.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (fma.f64 (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3/2)) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3/2) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (*.f64 (*.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) 1) (fma.f64 (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3/2)) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3/2) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (*.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) 8 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (*.f64 (*.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) 1) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) 8 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (*.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (fma.f64 (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (*.f64 (*.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) 1) (fma.f64 (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))))
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(fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (PI.f64) 1/2) (*.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))) 1)
(*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 4 (pow.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)))) (*.f64 2 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))))
(*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))
(*.f64 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) 1)
(*.f64 1 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))
(*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3/2) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3/2))
(*.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2) (*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))
(*.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 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8)
(*.f64 (*.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(*.f64 (*.f64 (*.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))))) 2)
(*.f64 (*.f64 (*.f64 4 (pow.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 (*.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (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 (*.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (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 (pow.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 3) (pow.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2) 3) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(/.f64 (*.f64 (*.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) 2) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(/.f64 (*.f64 (*.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) 2) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 2 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 2 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(sqrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 6))
(log.f64 (pow.f64 (exp.f64 8) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))))
(cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 9))
(expm1.f64 (log1p.f64 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))))
(exp.f64 (log.f64 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))))
Outputs
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)))
(fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(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)))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)))
(fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(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)))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)))
(fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(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)))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)))
(fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(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)))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)))
(fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(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)))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)))
(fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(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)))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)))
(fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(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)))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)))
(fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(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)))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3)))
(fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(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)))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3)))
(fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(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)))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3)))
(fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(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)))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3)))
(fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(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)))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(+.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 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(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)))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (*.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) 1))
(fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(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)))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (*.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (fma.f64 (neg.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 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))))
(fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (fma.f64 (*.f64 -4 (pow.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 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 0)))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (*.f64 (*.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) 1) (fma.f64 (neg.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 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))))
(fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (fma.f64 (*.f64 -4 (pow.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 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))))
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(fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(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)))
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(*.f64 (/.f64 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 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 (*.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) 2) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(/.f64 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))))
(*.f64 (/.f64 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (pow.f64 (*.f64 (PI.f64) 1/2) 2))) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 2 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(/.f64 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (/.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(*.f64 (/.f64 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 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 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 2 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(/.f64 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))))
(*.f64 (/.f64 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (pow.f64 (*.f64 (PI.f64) 1/2) 2))) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)))
(sqrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 6))
(sqrt.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 6))
(sqrt.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 6))
(log.f64 (pow.f64 (exp.f64 8) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 9))
(cbrt.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 9))
(cbrt.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 9))
(expm1.f64 (log1p.f64 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(exp.f64 (log.f64 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) 1))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(log1p.f64 (expm1.f64 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))

localize283.0ms (1.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓2.39%
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 3)
✓2.48%
(pow.f64 (pow.f64 (PI.f64) 2) 3)
✓2.48%
(pow.f64 (PI.f64) 4)
✓12.32%
(-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (*.f64 64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 3)))
Compiler

Compiled 375 to 328 computations (12.5% saved)

series6.0ms (0%)

Counts
4 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@0
(-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (*.f64 64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 3)))
2.0ms
x
@inf
(-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (*.f64 64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 3)))
1.0ms
x
@-inf
(-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (*.f64 64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 3)))
1.0ms
x
@0
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 3)
1.0ms
x
@inf
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 3)

rewrite146.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1024×associate-*r/
506×add-sqr-sqrt
484×*-un-lft-identity
482×add-cbrt-cube
482×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02598
155286
2626486
Stop Event
1×node limit
Counts
4 → 219
Calls
Call 1
Inputs
(-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (*.f64 64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 3)))
(pow.f64 (PI.f64) 4)
(pow.f64 (pow.f64 (PI.f64) 2) 3)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) -64))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) -64) (+.f64 (*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) -64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) -64) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (+.f64 (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) -64) (+.f64 (*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) -64))) (+.f64 (*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) -64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (+.f64 (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) -64) 1) (+.f64 (*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) -64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) -64) (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) -64) (+.f64 (*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6)) (+.f64 (*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) -64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (+.f64 (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) -64) (+.f64 (*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) -64))) (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) -64) (+.f64 (*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6)) (+.f64 (*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) -64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (+.f64 (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) -64) 1) (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) -64) (+.f64 (*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6)) (+.f64 (*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) -64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (+.f64 (*.f64 (pow.f64 (asin.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) 1) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)) 3) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 6) (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) 6) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (-.f64 (*.f64 (*.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (-.f64 (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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 12))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 6 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 6 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6)))))))

simplify224.0ms (1%)

Algorithm
1×egg-herbie
Rules
1208×+-commutative
1010×associate-/l*
784×fma-def
738×associate-+l-
630×associate-+r-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052619445
1134114629
2474114205
Stop Event
1×node limit
Counts
243 → 292
Calls
Call 1
Inputs
(-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) 4) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2))))
(-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) 4) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2))))
(-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) 4) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2))))
(-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) 4) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2))))
(-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 6)))
(-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 6)))
(-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 6)))
(-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 6)))
(-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 6)))
(-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 6)))
(-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 6)))
(-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 6)))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 4) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) 2))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 4) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) 2))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 4) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) 2))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 4) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) 2))
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 6)
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 6)
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 6)
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 6)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 6)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 6)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 6)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 6)
(+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) -64))
(+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) -64) (+.f64 (*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) -64))))
(+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) -64) 1))
(+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (+.f64 (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) -64) (+.f64 (*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) -64))) (+.f64 (*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) -64))))
(+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (+.f64 (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) -64) 1) (+.f64 (*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) -64))))
(+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) -64) (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) -64) (+.f64 (*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6)) (+.f64 (*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) -64))))))
(+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (+.f64 (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) -64) (+.f64 (*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) -64))) (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) -64) (+.f64 (*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6)) (+.f64 (*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) -64))))))
(+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (+.f64 (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) -64) 1) (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) -64) (+.f64 (*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6)) (+.f64 (*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) -64))))))
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(*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2))
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(*.f64 1 (pow.f64 (PI.f64) 4))
(*.f64 (pow.f64 (PI.f64) 3) (PI.f64))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 4)) (cbrt.f64 (pow.f64 (PI.f64) 8)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 4)) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (PI.f64) 2)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 8)) (cbrt.f64 (pow.f64 (PI.f64) 4)))
(*.f64 (*.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (pow.f64 (PI.f64) 4))) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 4) (pow.f64 (sqrt.f64 (PI.f64)) 4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 4) (pow.f64 (cbrt.f64 (PI.f64)) 4))
(sqrt.f64 (pow.f64 (PI.f64) 8))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 4))))
(cbrt.f64 (pow.f64 (PI.f64) 12))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 4)))
(exp.f64 (*.f64 4 (log.f64 (PI.f64))))
(exp.f64 (*.f64 (*.f64 4 (log.f64 (PI.f64))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 4)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 6))) 1)
(*.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 (PI.f64) 4)))
(*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 4))
(*.f64 (pow.f64 (PI.f64) 6) 1)
(*.f64 (pow.f64 (PI.f64) 4) (pow.f64 (PI.f64) 2))
(*.f64 1 (pow.f64 (PI.f64) 6))
(*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 4)) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (PI.f64) 4)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 8)) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 4)) (pow.f64 (PI.f64) 2)))
(*.f64 (*.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (pow.f64 (PI.f64) 8))) (cbrt.f64 (pow.f64 (PI.f64) 4)))
(*.f64 (*.f64 (pow.f64 (PI.f64) 4) (PI.f64)) (PI.f64))
(*.f64 (*.f64 (pow.f64 (PI.f64) 4) (cbrt.f64 (pow.f64 (PI.f64) 4))) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 6) (pow.f64 (sqrt.f64 (PI.f64)) 6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 6) (pow.f64 (cbrt.f64 (PI.f64)) 6))
(sqrt.f64 (pow.f64 (PI.f64) 12))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 6)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 6))))
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 6) 3))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 6)))
(exp.f64 (*.f64 6 (log.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 6))
(exp.f64 (*.f64 (*.f64 6 (log.f64 (PI.f64))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 6)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6))) 1)
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) 1)
(*.f64 1 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(*.f64 (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) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 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))) 4) (asin.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 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) 1) (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))) 4) (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 (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)) 3) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(*.f64 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 6) (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) 6) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 6))
(/.f64 (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (-.f64 (*.f64 (*.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)))))
(/.f64 (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (-.f64 (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)))))))
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 12))
(log.f64 (exp.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6))))
(cbrt.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) 3))
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6)))
(exp.f64 (*.f64 6 (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)))) 6))
(exp.f64 (*.f64 (*.f64 6 (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))) 6)))
Outputs
(-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) 4) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2))))
(+.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 -64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 5))))
(fma.f64 1/64 (pow.f64 (PI.f64) 6) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 6) -64))
(-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) 4) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2))))
(+.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 -64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 5))))
(fma.f64 1/64 (pow.f64 (PI.f64) 6) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 6) -64))
(-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) 4) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2))))
(+.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 -64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 5))))
(fma.f64 1/64 (pow.f64 (PI.f64) 6) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 6) -64))
(-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) 4) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2))))
(+.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 -64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 5))))
(fma.f64 1/64 (pow.f64 (PI.f64) 6) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 6) -64))
(-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 6)))
(+.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 -64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 5))))
(fma.f64 1/64 (pow.f64 (PI.f64) 6) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 6) -64))
(-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 6)))
(+.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 -64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 5))))
(fma.f64 1/64 (pow.f64 (PI.f64) 6) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 6) -64))
(-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 6)))
(+.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 -64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 5))))
(fma.f64 1/64 (pow.f64 (PI.f64) 6) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 6) -64))
(-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 6)))
(+.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 -64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 5))))
(fma.f64 1/64 (pow.f64 (PI.f64) 6) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 6) -64))
(-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 6)))
(+.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 -64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 5))))
(fma.f64 1/64 (pow.f64 (PI.f64) 6) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 6) -64))
(-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 6)))
(+.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 -64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 5))))
(fma.f64 1/64 (pow.f64 (PI.f64) 6) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 6) -64))
(-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 6)))
(+.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 -64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 5))))
(fma.f64 1/64 (pow.f64 (PI.f64) 6) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 6) -64))
(-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 6)))
(+.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 -64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 5))))
(fma.f64 1/64 (pow.f64 (PI.f64) 6) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 6) -64))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 4) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) 2))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 5))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 6)
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 4) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) 2))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 5))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 6)
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 4) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) 2))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 5))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 6)
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 4) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) 2))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 5))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 6)
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 6)
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 5))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 6)
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 6)
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 5))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 6)
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 6)
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 5))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 6)
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 6)
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 5))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 6)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 6)
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 5))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 6)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 6)
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 5))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 6)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 6)
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 5))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 6)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 6)
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 5))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 6)
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(*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))
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(*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 5))
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(*.f64 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 6) (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 6))
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 12)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) 6) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 6))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 5))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 6)
(/.f64 (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (-.f64 (*.f64 (*.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)))))
(/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 5) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(*.f64 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 5) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(/.f64 (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (-.f64 (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 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 5) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3))) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(*.f64 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 5) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)))
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(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 12))
(fabs.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 6))
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(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6)))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 5))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 6)
(exp.f64 (*.f64 6 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 5))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 6)
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 6))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 5))
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(exp.f64 (*.f64 (*.f64 6 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 5))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 6)
(log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6)))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 5))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 6)

eval2.8s (11.8%)

Compiler

Compiled 105685 to 93019 computations (12% saved)

prune737.0ms (3.2%)

Pruning

69 alts after pruning (63 fresh and 6 done)

PrunedKeptTotal
New1304291333
Fresh143448
Picked101
Done167
Total1320691389
Error
89.66%
Counts
1389 → 69
Alt Table
Click to see full alt table
StatusErrorProgram
93.49%
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2) (cbrt.f64 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 (PI.f64) -1/2))
93.42%
(fma.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (sqrt.f64 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 (PI.f64) -1/2))
93.28%
(fma.f64 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) (sqrt.f64 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 (PI.f64) -1/2))
✓93.33%
(fma.f64 (sqrt.f64 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (sqrt.f64 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 (PI.f64) -1/2))
95.2%
(fma.f64 (sqrt.f64 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (sqrt.f64 (*.f64 2 (acos.f64 (sqrt.f64 1/2)))) (*.f64 (PI.f64) -1/2))
98.85%
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2)) 3) 1/3)
93.63%
(pow.f64 (pow.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) -1/2)) 3) 1/3)
98.85%
(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))) 2)
93.31%
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))) 3)
93.27%
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (PI.f64) 1/2) (*.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
93.33%
(/.f64 (fma.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/8)) (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/8)) (*.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
93.31%
(/.f64 (fma.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16)) (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4)) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
93.29%
(/.f64 (/.f64 (fma.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) -64)) (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
93.27%
(/.f64 (/.f64 (fma.f64 (cbrt.f64 (*.f64 1/4096 (pow.f64 (PI.f64) 12))) (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) -64)) (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
93.27%
(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 12) 1/4096) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 12)) (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 (PI.f64) 6) 1/64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 6))) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
93.32%
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (*.f64 64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 3))) (+.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 12)) 1/16) (*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
93.37%
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (*.f64 64 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 12))) (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
93.33%
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (*.f64 64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6))) 1))) (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
93.43%
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (*.f64 64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 2) (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4)) 4)))) (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
93.29%
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 6)) (fma.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 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
93.32%
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (*.f64 64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 3))) (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
93.33%
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4))) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
93.33%
(/.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (PI.f64)) 6)) 1/64) (*.f64 64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 3))) (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
93.25%
(/.f64 (/.f64 (+.f64 (fma.f64 1/64 (pow.f64 (PI.f64) 6) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 6) -64)) (*.f64 2 (fma.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3) -8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3) 8) (*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 6))))) (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
93.25%
(/.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))) 2) (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 6)))) (cbrt.f64 (fma.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 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
98.81%
(/.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))) (sqrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 6)))) (sqrt.f64 (fma.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 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
✓93.28%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
93.28%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (cbrt.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 9))) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
93.32%
(/.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 (PI.f64) 1/2 (*.f64 2 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))))
93.33%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4)))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
93.31%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (log.f64 (exp.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
92%
(/.f64 (-.f64 (*.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) (*.f64 (*.f64 -1/8 (pow.f64 (PI.f64) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3)))) (*.f64 (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 (PI.f64) -1/2) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (-.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3)))))
93.35%
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 3 (log.f64 (PI.f64)))) 1/8) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
93.32%
(/.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))))
92.03%
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
93.29%
(/.f64 (-.f64 (*.f64 1/16 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2))) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 4)) (*.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))))
93.28%
(/.f64 (+.f64 (fma.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 (fma.f64 (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3/2)) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3/2) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) (fma.f64 (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3/2)) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3/2) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))))) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
92%
(/.f64 (+.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 (PI.f64) -1/2) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
93.33%
(/.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (*.f64 -1/8 (pow.f64 (PI.f64) 3)) (*.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 9))) (/.f64 1 (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 (PI.f64) -1/2) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))) (+.f64 (*.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) (-.f64 (*.f64 (*.f64 -1/8 (pow.f64 (PI.f64) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))) (*.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))))))
93.61%
(/.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 512 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 9) (*.f64 -1/512 (pow.f64 (PI.f64) 9))) 3) 1/3) (/.f64 1 (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 (PI.f64) -1/2) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))) (+.f64 (*.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) (-.f64 (*.f64 (*.f64 -1/8 (pow.f64 (PI.f64) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))) (*.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))))))
93.33%
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 3/2) (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/8))) (-.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/8)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 3/2))) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
91.98%
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) 3) (pow.f64 (*.f64 -1/8 (pow.f64 (PI.f64) 3)) 3)) (/.f64 1 (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 (PI.f64) -1/2) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))) (+.f64 (*.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) (-.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (*.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))))))
91.98%
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) 3) (pow.f64 (*.f64 -1/8 (pow.f64 (PI.f64) 3)) 3)) (/.f64 1 (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 (PI.f64) -1/2) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))) (+.f64 (*.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) (-.f64 (log.f64 (pow.f64 (exp.f64 1/64) (pow.f64 (PI.f64) 6))) (*.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))))))
93.44%
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) 3) (pow.f64 (*.f64 -1/8 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1)) 3)) (/.f64 1 (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 (PI.f64) -1/2) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))) (+.f64 (*.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) (-.f64 (*.f64 (*.f64 -1/8 (pow.f64 (PI.f64) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))) (*.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))))))
93.31%
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) 3) (pow.f64 (*.f64 -1/8 (exp.f64 (*.f64 3 (log.f64 (PI.f64))))) 3)) (/.f64 1 (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 (PI.f64) -1/2) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))) (+.f64 (*.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) (-.f64 (*.f64 (*.f64 -1/8 (pow.f64 (PI.f64) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))) (*.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))))))
92%
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3)))) (cbrt.f64 (+.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))))) (/.f64 (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 (PI.f64) -1/2) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (cbrt.f64 (+.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))))))
93.61%
(/.f64 (sqrt.f64 (+.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3)))) (/.f64 (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 (PI.f64) -1/2) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (sqrt.f64 (+.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))))))
94.97%
(/.f64 (fabs.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 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
98.86%
(/.f64 (exp.f64 (log.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4)))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
93.28%
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
95.87%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
✓93.3%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓95.73%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
93.59%
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (+.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 0)) (neg.f64 (*.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))))))))))
93.59%
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2)) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 2 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1)))))
93.43%
(+.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 2 (log.f64 (exp.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))
93.49%
(+.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
✓92.02%
(+.f64 (*.f64 2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (PI.f64) -1/2))
✓94.62%
(+.f64 (*.f64 2 (acos.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) -1/2))
93.34%
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))))
92.04%
(log.f64 (exp.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) -1/2))))
93.34%
(log.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4)) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
98.85%
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))))
93.35%
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2)) -2)) 3))
93.31%
(cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) 3) 3))
93.32%
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 4)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3))
93.28%
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/8)) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (-.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 1/2 (PI.f64)))))) 3))
93.3%
(cbrt.f64 (pow.f64 (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2)) 3))
93.3%
(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 3)) 3))
Compiler

Compiled 3462 to 3124 computations (9.8% saved)

regimes346.0ms (1.5%)

Counts
119 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 2 (acos.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) -1/2))
(-.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 2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (PI.f64) -1/2))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.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)))))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2)) 3))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
(log.f64 (exp.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) -1/2))))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) 3))
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) 3)
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))) 3)
(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) 2)
(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))) 2)
(pow.f64 (pow.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) -1/2)) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2)) 3) 1/3)
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2)) -2)) 3))
(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 3)) 3))
(cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) 3) 3))
(fma.f64 (sqrt.f64 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (sqrt.f64 (*.f64 2 (acos.f64 (sqrt.f64 1/2)))) (*.f64 (PI.f64) -1/2))
(fma.f64 (sqrt.f64 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (sqrt.f64 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 (PI.f64) -1/2))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
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(/.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4))) (sqrt.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (*.f64 64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 3))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2)))))) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (*.f64 -64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 3)))))) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
Outputs
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) 3) (pow.f64 (*.f64 -1/8 (pow.f64 (PI.f64) 3)) 3)) (/.f64 1 (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 (PI.f64) -1/2) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))) (+.f64 (*.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) (-.f64 (log.f64 (pow.f64 (exp.f64 1/64) (pow.f64 (PI.f64) 6))) (*.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))))))
Calls

7 calls:

56.0ms
x
16.0ms
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
13.0ms
(-.f64 1 x)
12.0ms
(/.f64 (-.f64 1 x) 2)
12.0ms
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
Results
ErrorSegmentsBranch
91.98%1x
91.98%1(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
91.98%1(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
91.98%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
91.98%1(sqrt.f64 (/.f64 (-.f64 1 x) 2))
91.98%1(/.f64 (-.f64 1 x) 2)
91.98%1(-.f64 1 x)
Compiler

Compiled 6430 to 5647 computations (12.2% saved)

regimes531.0ms (2.3%)

Counts
104 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 2 (acos.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) -1/2))
(-.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 2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (PI.f64) -1/2))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.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)))))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2)) 3))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
(log.f64 (exp.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) -1/2))))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) 3))
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) 3)
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))) 3)
(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) 2)
(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))) 2)
(pow.f64 (pow.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) -1/2)) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2)) 3) 1/3)
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2)) -2)) 3))
(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 3)) 3))
(cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) 3) 3))
(fma.f64 (sqrt.f64 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (sqrt.f64 (*.f64 2 (acos.f64 (sqrt.f64 1/2)))) (*.f64 (PI.f64) -1/2))
(fma.f64 (sqrt.f64 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (sqrt.f64 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 (PI.f64) -1/2))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 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))))
(fma.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (sqrt.f64 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 (PI.f64) -1/2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2) (cbrt.f64 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 (PI.f64) -1/2))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(fma.f64 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) (sqrt.f64 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 (PI.f64) -1/2))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4)))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 4)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (log.f64 (exp.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))))
(/.f64 (fabs.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 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(log.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4)) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(/.f64 (exp.f64 (log.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4)))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(+.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(/.f64 (+.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 (PI.f64) -1/2) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 2) 1/3) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))) 3))
(+.f64 (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 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2)) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
(/.f64 (fma.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16)) (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4)) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (cbrt.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 9))) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 3 (log.f64 (PI.f64)))) 1/8) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
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(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (*.f64 64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 3))) (+.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 12)) 1/16) (*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(/.f64 (/.f64 (fma.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) -64)) (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (*.f64 64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6))) 1))) (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (*.f64 64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) 3))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (+.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)) 1/16) (*.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))))))
(/.f64 (/.f64 (fma.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16)) (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4)) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
(/.f64 (/.f64 (fma.f64 (cbrt.f64 (*.f64 1/4096 (pow.f64 (PI.f64) 12))) (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) -64)) (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3)))) (cbrt.f64 (+.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))))) (/.f64 (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 (PI.f64) -1/2) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (cbrt.f64 (+.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) 3) (pow.f64 (*.f64 -1/8 (pow.f64 (PI.f64) 3)) 3)) (/.f64 1 (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 (PI.f64) -1/2) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))) (+.f64 (*.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) (-.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (*.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))))))
(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 12) 1/4096) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 12)) (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 (PI.f64) 6) 1/64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 6))) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
(/.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))) (sqrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 6)))) (sqrt.f64 (fma.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 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
(*.f64 (/.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3) -8)) (+.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) -4) (*.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(/.f64 (+.f64 (*.f64 512 (pow.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3) 3)) (*.f64 -1/512 (pow.f64 (pow.f64 (PI.f64) 3) 3))) (*.f64 (fma.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2) (*.f64 (PI.f64) (*.f64 -1/2 (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))) (+.f64 (*.f64 64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3))) (*.f64 (*.f64 -1/8 (pow.f64 (PI.f64) 3)) (-.f64 (*.f64 -1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3)))))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/512) (*.f64 512 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 3))) (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (fma.f64 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 6)))) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (*.f64 64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 2) (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4)) 4)))) (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(/.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))) 2) (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 6)))) (cbrt.f64 (fma.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 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/512) (pow.f64 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)) 3)) (*.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))) (+.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)) 1/64) (*.f64 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)))))))
(/.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4)) (fma.f64 (neg.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))))) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3))) (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)) 1/16) (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))))) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) 3) (pow.f64 (*.f64 -1/8 (pow.f64 (PI.f64) 3)) 3)) (/.f64 1 (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 (PI.f64) -1/2) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))) (+.f64 (*.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) (-.f64 (*.f64 (*.f64 -1/8 (pow.f64 (PI.f64) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))) (*.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))))))
Outputs
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) 3) (pow.f64 (*.f64 -1/8 (pow.f64 (PI.f64) 3)) 3)) (/.f64 1 (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 (PI.f64) -1/2) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))) (+.f64 (*.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) (-.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (*.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))))))
Calls

7 calls:

246.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
87.0ms
x
11.0ms
(-.f64 1 x)
11.0ms
(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
11.0ms
(/.f64 (-.f64 1 x) 2)
Results
ErrorSegmentsBranch
91.98%1x
91.98%1(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
91.98%1(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
91.98%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
91.98%1(sqrt.f64 (/.f64 (-.f64 1 x) 2))
91.98%1(/.f64 (-.f64 1 x) 2)
91.98%1(-.f64 1 x)
Compiler

Compiled 4876 to 4272 computations (12.4% saved)

regimes352.0ms (1.5%)

Counts
92 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 2 (acos.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) -1/2))
(-.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 2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (PI.f64) -1/2))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.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)))))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2)) 3))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))))
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(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 6)) (fma.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 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (*.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2)))) (*.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 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 (sqrt.f64 (+.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3)))) (/.f64 (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 (PI.f64) -1/2) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (sqrt.f64 (+.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))))))
(/.f64 (/.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 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
(/.f64 (/.f64 (+.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 6) -64)) (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3) 8))) (+.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) 4)) (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 3/2) (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/8))) (-.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/8)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 3/2))) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (+.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 0)) (neg.f64 (*.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 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 6)) (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (fma.f64 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4))))) (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (*.f64 64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 3))) (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(/.f64 (/.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 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))) (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) 1))
(/.f64 (+.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))) (cbrt.f64 (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4))) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2)))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(/.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (PI.f64)) 6)) 1/64) (*.f64 64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 3))) (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (*.f64 64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 3))) (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(/.f64 (-.f64 (*.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) (*.f64 (*.f64 -1/8 (pow.f64 (PI.f64) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3)))) (*.f64 (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 (PI.f64) -1/2) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (-.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3)))))
(/.f64 (/.f64 (exp.f64 (log.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4)))) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (*.f64 64 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 12))) (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (*.f64 64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 3))) (+.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 12)) 1/16) (*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(/.f64 (/.f64 (fma.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) -64)) (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (*.f64 64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6))) 1))) (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (*.f64 64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) 3))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (+.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)) 1/16) (*.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))))))
(/.f64 (/.f64 (fma.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16)) (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4)) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
(/.f64 (/.f64 (fma.f64 (cbrt.f64 (*.f64 1/4096 (pow.f64 (PI.f64) 12))) (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) -64)) (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3)))) (cbrt.f64 (+.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))))) (/.f64 (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 (PI.f64) -1/2) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (cbrt.f64 (+.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))))))
Outputs
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3)))) (cbrt.f64 (+.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))))) (/.f64 (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 (PI.f64) -1/2) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (cbrt.f64 (+.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))))))
Calls

7 calls:

109.0ms
x
37.0ms
(/.f64 (-.f64 1 x) 2)
13.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
9.0ms
(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
9.0ms
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
Results
ErrorSegmentsBranch
92%1x
92%1(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
92%1(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
92%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
92%1(sqrt.f64 (/.f64 (-.f64 1 x) 2))
92%1(/.f64 (-.f64 1 x) 2)
92%1(-.f64 1 x)
Compiler

Compiled 3803 to 3330 computations (12.4% saved)

regimes308.0ms (1.3%)

Counts
91 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 2 (acos.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) -1/2))
(-.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 2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (PI.f64) -1/2))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.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)))))
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(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 3))) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (-.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 (-.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 6)) (fma.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 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (*.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2)))) (*.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 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 (sqrt.f64 (+.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3)))) (/.f64 (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 (PI.f64) -1/2) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (sqrt.f64 (+.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))))))
(/.f64 (/.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 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
(/.f64 (/.f64 (+.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 6) -64)) (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3) 8))) (+.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) 4)) (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 3/2) (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/8))) (-.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/8)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 3/2))) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (+.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 0)) (neg.f64 (*.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 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 6)) (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (fma.f64 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4))))) (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (*.f64 64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 3))) (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(/.f64 (/.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 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))) (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) 1))
(/.f64 (+.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))) (cbrt.f64 (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4))) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2)))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(/.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (PI.f64)) 6)) 1/64) (*.f64 64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 3))) (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (*.f64 64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 3))) (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(/.f64 (-.f64 (*.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) (*.f64 (*.f64 -1/8 (pow.f64 (PI.f64) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3)))) (*.f64 (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 (PI.f64) -1/2) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (-.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3)))))
(/.f64 (/.f64 (exp.f64 (log.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4)))) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (*.f64 64 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 12))) (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (*.f64 64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 3))) (+.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 12)) 1/16) (*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(/.f64 (/.f64 (fma.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) -64)) (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (*.f64 64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6))) 1))) (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (*.f64 64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) 3))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (+.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)) 1/16) (*.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))))))
(/.f64 (/.f64 (fma.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16)) (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4)) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
(/.f64 (/.f64 (fma.f64 (cbrt.f64 (*.f64 1/4096 (pow.f64 (PI.f64) 12))) (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6) -64)) (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
Outputs
(/.f64 (+.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 (PI.f64) -1/2) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
Calls

7 calls:

85.0ms
x
34.0ms
(-.f64 1 x)
10.0ms
(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
9.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
9.0ms
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
Results
ErrorSegmentsBranch
92%1x
92%1(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
92%1(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
92%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
92%1(sqrt.f64 (/.f64 (-.f64 1 x) 2))
92%1(/.f64 (-.f64 1 x) 2)
92%1(-.f64 1 x)
Compiler

Compiled 3717 to 3254 computations (12.5% saved)

regimes112.0ms (0.5%)

Counts
42 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 2 (acos.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) -1/2))
(-.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 2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (PI.f64) -1/2))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.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)))))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2)) 3))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
(log.f64 (exp.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) -1/2))))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) 3))
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) 3)
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))) 3)
(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) 2)
(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))) 2)
(pow.f64 (pow.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) -1/2)) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2)) 3) 1/3)
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2)) -2)) 3))
(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 3)) 3))
(cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) 3) 3))
(fma.f64 (sqrt.f64 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (sqrt.f64 (*.f64 2 (acos.f64 (sqrt.f64 1/2)))) (*.f64 (PI.f64) -1/2))
(fma.f64 (sqrt.f64 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (sqrt.f64 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 (PI.f64) -1/2))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 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))))
(fma.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (sqrt.f64 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 (PI.f64) -1/2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2) (cbrt.f64 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 (PI.f64) -1/2))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(fma.f64 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) (sqrt.f64 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 (PI.f64) -1/2))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4)))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 4)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (log.f64 (exp.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))))
(/.f64 (fabs.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 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(log.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4)) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(/.f64 (exp.f64 (log.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4)))) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(+.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
Outputs
(+.f64 (*.f64 2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (PI.f64) -1/2))
Calls

7 calls:

19.0ms
x
6.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
6.0ms
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
5.0ms
(/.f64 (-.f64 1 x) 2)
5.0ms
(-.f64 1 x)
Results
ErrorSegmentsBranch
92.02%1x
92.02%1(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
92.02%1(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
92.02%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
92.02%1(sqrt.f64 (/.f64 (-.f64 1 x) 2))
92.02%1(/.f64 (-.f64 1 x) 2)
92.02%1(-.f64 1 x)
Compiler

Compiled 912 to 795 computations (12.8% saved)

regimes5.0ms (0%)

Accuracy

Total -2b remaining (-3.2%)

Threshold costs -2b (-3.2%)

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

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
94.62%1x
Compiler

Compiled 32 to 29 computations (9.4% saved)

simplify50.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
48×+-commutative
48×*-commutative
20×distribute-lft-neg-in
18×neg-mul-1
18×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0651154
11061154
21401154
31631154
41771154
51831154
61841154
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) 3) (pow.f64 (*.f64 -1/8 (pow.f64 (PI.f64) 3)) 3)) (/.f64 1 (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 (PI.f64) -1/2) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))) (+.f64 (*.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) (-.f64 (log.f64 (pow.f64 (exp.f64 1/64) (pow.f64 (PI.f64) 6))) (*.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) 3) (pow.f64 (*.f64 -1/8 (pow.f64 (PI.f64) 3)) 3)) (/.f64 1 (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 (PI.f64) -1/2) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))) (+.f64 (*.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) (-.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (*.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3)))) (cbrt.f64 (+.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))))) (/.f64 (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 (PI.f64) -1/2) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (cbrt.f64 (+.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))))))
(/.f64 (+.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 (PI.f64) -1/2) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(+.f64 (*.f64 2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (PI.f64) -1/2))
(+.f64 (*.f64 2 (acos.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) -1/2))
Outputs
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) 3) (pow.f64 (*.f64 -1/8 (pow.f64 (PI.f64) 3)) 3)) (/.f64 1 (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 (PI.f64) -1/2) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))) (+.f64 (*.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) (-.f64 (log.f64 (pow.f64 (exp.f64 1/64) (pow.f64 (PI.f64) 6))) (*.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) 3) (pow.f64 (*.f64 -1/8 (pow.f64 (PI.f64) 3)) 3)) (/.f64 1 (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 -1/2 (PI.f64)) (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))) (+.f64 (*.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) (-.f64 (log.f64 (pow.f64 (exp.f64 1/64) (pow.f64 (PI.f64) 6))) (*.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)) 3) (pow.f64 (*.f64 -1/8 (pow.f64 (PI.f64) 3)) 3)) (/.f64 1 (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (*.f64 (*.f64 -1/2 (PI.f64)) (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2)))))) (+.f64 (*.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)) (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3))) (+.f64 (log.f64 (pow.f64 (exp.f64 1/64) (pow.f64 (PI.f64) 6))) (*.f64 (*.f64 -1/8 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3) -8)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)) 3) (pow.f64 (*.f64 -1/8 (pow.f64 (PI.f64) 3)) 3)) (/.f64 1 (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (*.f64 (*.f64 -1/2 (PI.f64)) (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2)))))) (+.f64 (*.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)) (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3))) (+.f64 (log.f64 (pow.f64 (exp.f64 1/64) (pow.f64 (PI.f64) 6))) (*.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)) (*.f64 (pow.f64 (PI.f64) 3) 1/8)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) 3) (pow.f64 (*.f64 -1/8 (pow.f64 (PI.f64) 3)) 3)) (/.f64 1 (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 (PI.f64) -1/2) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))) (+.f64 (*.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) (-.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (*.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) 3) (pow.f64 (*.f64 -1/8 (pow.f64 (PI.f64) 3)) 3)) (/.f64 1 (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 -1/2 (PI.f64)) (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))) (+.f64 (*.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) (-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)) 3) (pow.f64 (*.f64 -1/8 (pow.f64 (PI.f64) 3)) 3)) (/.f64 1 (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (*.f64 (*.f64 -1/2 (PI.f64)) (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2)))))) (+.f64 (*.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)) (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3))) (+.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 (*.f64 -1/8 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3) -8)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)) 3) (pow.f64 (*.f64 -1/8 (pow.f64 (PI.f64) 3)) 3)) (/.f64 1 (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (*.f64 (*.f64 -1/2 (PI.f64)) (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2)))))) (+.f64 (*.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)) (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3))) (+.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)) (*.f64 (pow.f64 (PI.f64) 3) 1/8)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3)))) (cbrt.f64 (+.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))))) (/.f64 (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 (PI.f64) -1/2) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (cbrt.f64 (+.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3)))) (cbrt.f64 (+.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))))) (/.f64 (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 -1/2 (PI.f64)) (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (cbrt.f64 (+.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3)))) (cbrt.f64 (+.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))))) (/.f64 (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (*.f64 (*.f64 -1/2 (PI.f64)) (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2)))) (cbrt.f64 (+.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))))))
(/.f64 (+.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 (PI.f64) -1/2) (-.f64 (*.f64 (PI.f64) -1/2) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(/.f64 (+.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 -1/2 (PI.f64)) (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(/.f64 (+.f64 (*.f64 8 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)) (*.f64 -1/8 (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (*.f64 (*.f64 -1/2 (PI.f64)) (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2)))))
(+.f64 (*.f64 2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (PI.f64) -1/2))
(+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))
(+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))
(+.f64 (*.f64 2 (acos.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) -1/2))
(+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 2 (acos.f64 (sqrt.f64 1/2))))
Compiler

Compiled 365 to 330 computations (9.6% saved)

soundness169.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1090×associate-*r*
842×associate-*l*
688×+-commutative
566×*-commutative
432×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
070525253
1200921627
Stop Event
1×node limit
Compiler

Compiled 192 to 160 computations (16.7% saved)

end231.0ms (1%)

Compiler

Compiled 360 to 320 computations (11.1% saved)

Profiling

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